 seven quarters of a litre in millilitres?
1750
What is 3/16 of a week in minutes?
1890
What is 6164.499 nanometers in meters?
0.000006164499
How many months are there in eight thirds of a year?
32
What is 7.629706ml in litres?
0.007629706
How many micrometers are there in 322.7011cm?
3227011
How many decades are there in 746.6968 millennia?
74669.68
What is 26/5 of a century in decades?
52
What is fifty-seven fifths of a kilometer in meters?
11400
How many nanograms are there in 13/8 of a microgram?
1625
How many years are there in 5/4 of a millennium?
1250
What is 13/5 of a litre in millilitres?
2600
What is 28579.46us in seconds?
0.02857946
Convert 72145.49 minutes to milliseconds.
4328729400
What is twenty-five quarters of a century in months?
7500
How many microseconds are there in 10.96331 days?
947229984000
Convert 98993.32 minutes to microseconds.
5939599200000
What is 21/5 of a meter in millimeters?
4200
What is 26.626806s in minutes?
0.4437801
How many milliseconds are there in 0.8103617 weeks?
490106756.16
What is seven quarters of a millennium in months?
21000
Convert 643.5553m to kilometers.
0.6435553
What is 0.842422 milligrams in nanograms?
842422
What is seven quarters of a centimeter in micrometers?
17500
What is 3232.568 nanometers in centimeters?
0.0003232568
How many millilitres are there in 6/5 of a litre?
1200
What is 1/4 of a day in seconds?
21600
What is 6/5 of a litre in millilitres?
1200
What is 3424.295ml in litres?
3.424295
What is 97.05424 years in decades?
9.705424
Convert 40.87028 millimeters to micrometers.
40870.28
How many years are there in 17/2 of a millennium?
8500
How many millennia are there in 5.800334 decades?
0.05800334
How many months are there in 176.7819 centuries?
212138.28
How many decades are there in 0.201051 millennia?
20.1051
How many days are there in 198.21213ms?
0.000002294121875
What is 3/5 of a centimeter in micrometers?
6000
What is 3/8 of a kilogram in grams?
375
How many meters are there in 50793.26mm?
50.79326
How many seconds are there in thirteen eighths of a hour?
5850
How many micrometers are there in 318.2584nm?
0.3182584
How many litres are there in 95.36552ml?
0.09536552
How many milligrams are there in 3/8 of a gram?
375
What is six fifths of a hour in minutes?
72
How many micrometers are there in 4261.1 meters?
4261100000
Convert 5128317.9ms to days.
0.05935553125
What is 75831.18 seconds in milliseconds?
75831180
How many decades are there in 11994.447 months?
99.953725
How many grams are there in 13/8 of a kilogram?
1625
What is 25/2 of a gram in milligrams?
12500
How many millimeters are there in 53/5 of a centimeter?
106
How many months are there in 45/2 of a year?
270
What is 25/8 of a gram in milligrams?
3125
What is 2.478246l in millilitres?
2478.246
Convert 787306.8um to millimeters.
787.3068
How many millennia are there in 1793.1075 months?
0.149425625
What is 69/2 of a gram in milligrams?
34500
How many millimeters are there in 52/5 of a meter?
10400
What is seventy-four fifths of a century in months?
17760
What is twenty-five halves of a litre in millilitres?
12500
How many kilometers are there in 4960.39nm?
0.00000000496039
How many kilometers are there in 7853.278 millimeters?
0.007853278
What is 394051.3 decades in millennia?
3940.513
How many nanometers are there in 44/5 of a micrometer?
8800
What is eighteen fifths of a gram in milligrams?
3600
What is 23.177391 months in centuries?
0.0193144925
How many centuries are there in 1.673099 millennia?
16.73099
Convert 0.9832523 minutes to nanoseconds.
58995138000
Convert 13.42421ug to kilograms.
0.00000001342421
What is 11/4 of a litre in millilitres?
2750
What is 4.03106s in nanoseconds?
4031060000
Convert 0.8831061 centuries to decades.
8.831061
Convert 115.233mm to centimeters.
11.5233
What is 16.63075 hours in nanoseconds?
59870700000000
What is 1559124.9 milliseconds in hours?
0.43309025
How many milliseconds are there in 602.323s?
602323
What is one fifth of a millennium in decades?
20
Convert 23.09418 days to minutes.
33255.6192
What is 3/10 of a micrometer in nanometers?
300
How many micrograms are there in three fifths of a milligram?
600
Convert 7956.941ml to litres.
7.956941
What is 1/20 of a decade in months?
6
What is 0.3497782g in micrograms?
349778.2
Convert 18119.54 centimeters to nanometers.
181195400000
How many tonnes are there in 821776.7 kilograms?
821.7767
Convert 687577.4 weeks to microseconds.
415846811520000000
What is 1/4 of a microgram in nanograms?
250
What is 27/4 of a century in months?
8100
Convert 12.66157 millennia to decades.
1266.157
What is 43/2 of a week in hours?
3612
Convert 1.91849ng to milligrams.
0.00000191849
What is one tenth of a litre in millilitres?
100
How many nanoseconds are there in 31/5 of a microsecond?
6200
What is 42/5 of a century in decades?
84
How many grams are there in 1/4 of a kilogram?
250
How many millimeters are there in 11/8 of a meter?
1375
How many micrometers are there in eleven eighths of a millimeter?
1375
What is 648369.1l in millilitres?
648369100
Convert 62828.05l to millilitres.
62828050
How many millilitres are there in 71.82915l?
71829.15
What is fifty-two fifths of a microgram in nanograms?
10400
What is 3/5 of a microgram in nanograms?
600
What is fifty-seven fifths of a litre in millilitres?
11400
How many meters are there in 3/25 of a kilometer?
120
How many decades are there in 3/10 of a century?
3
How many seconds are there in 371.8925 days?
32131512
What is 5/4 of a year in months?
15
How many kilograms are there in 7/8 of a tonne?
875
Convert 263.0523m to micrometers.
263052300
How many micrometers are there in 91.6965mm?
91696.5
What is 39.20429ml in litres?
0.03920429
How many minutes are there in 4/7 of a week?
5760
Convert 213277.14 months to years.
17773.095
What is 15/4 of a meter in millimeters?
3750
What is 25/2 of a litre in millilitres?
12500
How many millennia are there in 0.9476207 years?
0.0009476207
What is 7.72335 centuries in decades?
77.2335
Convert 44.02098 weeks to seconds.
26623888.704
Convert 365.5852 weeks to milliseconds.
221105928960
How many millilitres are there in fifty-seven fifths of a litre?
11400
How many milliseconds are there in 15/4 of a second?
3750
How many nanometers are there in twenty-one halves of a micrometer?
10500
What is 7/2 of a microgram in nanograms?
3500
Convert 297056.7 milligrams to grams.
297.0567
Convert 380305.3nm to kilometers.
0.0000003803053
What is three tenths of a decade in months?
36
What is 12/25 of a meter in centimeters?
48
What is three eighths of a litre in millilitres?
375
How many months are there in one sixth of a year?
2
What is seventy-four fifths of a hour in seconds?
53280
How many minutes are there in 5/6 of a hour?
50
Convert 975.8236kg to nanograms.
975823600000000
How many months are there in one fifth of a millennium?
2400
How many millilitres are there in sixty-three eighths of a litre?
7875
What is 79.08063ml in litres?
0.07908063
What is 0.9667932t in grams?
966793.2
What is 388.2705mm in nanometers?
388270500
Convert 14335.09 centimeters to micrometers.
143350900
Convert 0.3869025kg to micrograms.
386902500
How many seconds are there in four fifteenths of a hour?
960
How many months are there in 2/15 of a millennium?
1600
How many years are there in 0.5443145 centuries?
54.43145
What is 28/3 of a minute in seconds?
560
How many minutes are there in 1.269303us?
0.00000002115505
How many centimeters are there in 54.55835 kilometers?
5455835
What is eleven tenths of a litre in millilitres?
1100
Convert 6888.467um to centimeters.
0.6888467
How many millilitres are there in 1/5 of a litre?
200
What is 6682.095g in micrograms?
6682095000
How many millimeters are there in 37715.3 micrometers?
37.7153
Convert 852963.4ml to litres.
852.9634
How many kilograms are there in 27/5 of a tonne?
5400
Convert 148809.3 minutes to nanoseconds.
8928558000000000
What is 172214.8722 milliseconds in weeks?
0.0002847468125
How many months are there in fifty-two thirds of a century?
20800
How many millilitres are there in fifty-nine fifths of a litre?
11800
How many minutes are there in nine tenths of a day?
1296
What is one sixteenth of a meter in micrometers?
62500
How m


73506*n + 220179. What is f(3)?
-6
Let a(l) = 18*l**3 - 416*l**2 + 10. Calculate a(23).
-1048
Let v(j) = -3*j**2 + 686*j - 1643. What is v(227)?
-508
Let b(y) = 11953*y - 71360. Calculate b(6).
358
Let m(q) = 7480*q - 1458604. Calculate m(195).
-4
Let i(j) = 427*j + 10205. What is i(-21)?
1238
Let a(v) = 28*v**2 - 2149*v - 10740. Determine a(-5).
705
Let q(l) = 6995*l - 181862. What is q(26)?
8
Let o(j) = 10617*j + 169879. Calculate o(-16).
7
Let r(f) = 101*f**2 - 111*f - 2067. What is r(-4)?
-7
Let g(j) = 36*j**3 - j**2 + 645*j - 1303. What is g(2)?
271
Let r(v) = 2*v**3 + 542*v**2 + 24775*v + 3886. What is r(-58)?
0
Let q(s) = -8*s**2 + 2050*s - 51058. Calculate q(28).
70
Let l(o) = 227*o**3 - o**2 - 277*o - 275. Determine l(-1).
-226
Let c(d) = -2*d**2 + 472*d - 20341. What is c(179)?
65
Let n(x) = -3*x**2 + 23*x - 200. Calculate n(11).
-310
Let j(o) = 5*o**2 + 179*o + 1956. Calculate j(-27).
768
Let y(d) = 30*d**2 - 4869*d + 71389. Calculate y(146).
-5
Let s(i) = i**3 + 35*i**2 + 85*i + 54. Calculate s(-32).
406
Let i(c) = -5*c**2 - 229*c + 3925. Give i(-59).
31
Let i(f) = 151*f - 4997. Give i(58).
3761
Let g(n) = 10792*n + 75625. What is g(-7)?
81
Let y(v) = 63*v**2 + 31891*v + 6567. Give y(-506).
-11
Let d(r) = -27*r**2 + 253*r - 768. Give d(3).
-252
Let a(p) = 1620*p + 8183. Calculate a(-4).
1703
Let a(m) = m**3 - 60*m**2 + 1477*m - 104953. Calculate a(63).
5
Let b(t) = -14*t**2 - 797*t + 2520. Give b(3).
3
Let f(y) = -y**3 + 22*y**2 + 79*y - 774. Give f(15).
1986
Let g(d) = -15636*d + 250174. Determine g(16).
-2
Let u(y) = 101*y**3 + 64*y**2 - 83*y + 17. Calculate u(1).
99
Let m(o) = 5*o**3 + 26*o**2 - o - 76. Determine m(-6).
-214
Let n(f) = -82*f**2 + 29*f + 9. Determine n(1).
-44
Let o(z) = 4591*z + 3463. Give o(-1).
-1128
Let s(i) = -7*i**2 - 261*i - 2454. Determine s(-11).
-430
Let q(k) = 642*k + 12959. Give q(-23).
-1807
Let m(z) = -4*z**3 - 36*z**2 + 393*z - 59. Give m(-16).
821
Let z(o) = 69*o - 3721. What is z(53)?
-64
Let r(v) = -9*v**3 + 72*v**2 + 22*v + 20. Calculate r(8).
196
Let w(x) = -1280*x + 98557. Determine w(77).
-3
Let o(i) = -i**3 - 169*i**2 - 1276*i - 14. Calculate o(-8).
-110
Let i(g) = 4*g**2 - 792*g - 90245. Give i(279).
151
Let y(z) = 32*z**2 - 353*z + 566. What is y(8)?
-210
Let v(g) = -g**3 - 51*g**2 - 610*g - 529. What is v(-33)?
-1
Let j(q) = 107680*q + 969079. Calculate j(-9).
-41
Let q(s) = s**2 + 11585*s - 511681. Determine q(44).
-5
Let t(n) = 3*n**3 - 143*n**2 + 2188*n - 107334. Give t(48).
-6
Let z(w) = 3549*w + 42387. Give z(-12).
-201
Let z(t) = -449*t + 6476. Calculate z(15).
-259
Let i(z) = 2*z**3 - 363*z**2 + 12468*z + 11732. Calculate i(135).
-13
Let k(g) = 17311*g + 225175. Give k(-13).
132
Let a(w) = -w**3 + 28*w**2 + 386*w - 7558. Determine a(13).
-5
Let h(o) = -2*o**3 + 482*o**2 + 2464*o - 243. Determine h(246).
741
Let h(l) = -l**2 + 857*l - 21607. Determine h(26).
-1
Let y(q) = q**3 + 4*q**2 - 198*q - 349. What is y(13)?
-50
Let a(g) = 2579*g + 74792. Give a(-29).
1
Let z(n) = -n**3 + 40*n**2 - 89*n + 489. Give z(38).
-5
Let h(c) = -914*c - 68549. Determine h(-75).
1
Let v(s) = -61*s**2 + 602*s + 1185. Calculate v(-2).
-263
Let y(g) = -1130102*g - 3390314. Determine y(-3).
-8
Let u(t) = 284*t - 37368. Determine u(136).
1256
Let v(y) = y**3 - 417*y**2 - 1264*y + 1662. Give v(420).
-18
Let n(f) = 169*f + 10446. Calculate n(-62).
-32
Let u(q) = 15*q**2 + 486*q + 1623. What is u(-28)?
-225
Let s(n) = -n**3 - 69*n**2 - 386*n - 465. Calculate s(-63).
39
Let t(w) = 6*w**2 + 755*w - 32. Determine t(-125).
-657
Let f(l) = -34*l**2 - 617*l - 1113. What is f(-2)?
-15
Let l(q) = -2*q**3 + 133*q**2 - 387*q - 10. Calculate l(3).
-28
Let m(u) = 2*u**2 - 28*u - 3941. Determine m(-39).
193
Let b(o) = -99*o**2 + 554*o + 17. What is b(8)?
-1887
Let b(y) = -y**3 + 53*y**2 - 957*y + 7953. Calculate b(30).
-57
Let q(o) = 377*o**3 + 12*o**2 + 34*o + 22. Give q(-1).
-377
Let l(t) = -2*t**3 + 420*t**2 - 13604*t + 177. What is l(40)?
17
Let p(b) = 34107*b + 784702. Determine p(-23).
241
Let j(h) = -770*h**2 - 46*h + 24. Determine j(-1).
-700
Let g(x) = -19*x**2 + 3675*x - 1875. Give g(193).
-331
Let h(y) = y**3 - 177*y**2 + 8*y - 1424. Determine h(177).
-8
Let a(j) = 2621*j**3 - 24*j**2 + 23*j - 1. Determine a(1).
2619
Let t(q) = 15477*q**2 + 93201*q + 2040. Give t(-6).
6
Let r(f) = -50317*f + 402469. Determine r(8).
-67
Let s(h) = -h**3 - 125*h**2 + 4467*h + 379. Determine s(-154).
225
Let n(g) = -2*g**3 + 77*g**2 + 248*g - 8294. Give n(39).
-143
Let s(a) = -1070*a + 37567. Give s(35).
117
Let c(q) = 22*q**3 + 87*q**2 + 5*q - 53. Calculate c(-1).
7
Let v(n) = 484572*n + 1938289. Calculate v(-4).
1
Let h(m) = 321360*m + 20245680. Calculate h(-63).
0
Let l(p) = p**3 - 5*p**2 + 2164*p + 23136. Give l(-10).
-4
Let m(q) = -q**2 + 303*q - 8901. What is m(33)?
9
Let b(m) = -6*m**3 + 152*m**2 - 858*m + 31. What is b(17)?
-105
Let v(n) = -1393*n + 7082. Calculate v(7).
-2669
Let k(u) = -u**2 + 32*u + 634. Give k(-15).
-71
Let k(c) = 3*c**3 - 354*c**2 - 8*c + 1104. Give k(118).
160
Let r(a) = 2*a**3 + 173*a**2 + 1869*a + 10763. Calculate r(-75).
-37
Let t(i) = -2*i**3 - 6*i**2 + 8005*i - 47373. What is t(6)?
9
Let n(j) = -22*j**2 - 22*j + 30. Calculate n(0).
30
Let s(l) = -l**3 - 47*l**2 + 1077*l - 285. Calculate s(-64).
419
Let l(i) = 2*i**3 - 10*i**2 + 24*i + 256. What is l(-9)?
-2228
Let j(o) = 389888*o + 779793. Calculate j(-2).
17
Let b(i) = 140*i**2 - 8299*i + 713. What is b(59)?
-1588
Let f(i) = -11*i**2 - 128*i + 503. Give f(-15).
-52
Let u(x) = 3*x**3 + 92*x**2 + 66*x + 2995. Give u(-31).
-12
Let p(y) = 2*y**3 + 805*y**2 + 1990*y - 4007. What is p(-400)?
-7
Let a(w) = -2*w**3 - 452*w**2 - 1215*w + 27430. Determine a(-223).
1
Let u(b) = -22*b**3 - 643*b**2 - 145*b + 38. What is u(-29)?
38
Let i(n) = n**3 - 40*n**2 + 138*n - 1867. What is i(37)?
-868
Let p(x) = -x**3 + 314*x**2 - 1093*x - 45540. Give p(310).
30
Let p(f) = 609*f - 822. Calculate p(1).
-213
Let h(k) = 9*k**3 - 122*k**2 + 121*k - 14. Calculate h(1).
-6
Let y(x) = -7*x**2 - 2938*x + 30987. Give y(-430).
27
Let u(h) = 161*h**2 - 5478*h + 136. Calculate u(34).
0
Let b(k) = 13*k**2 - 69*k - 772. Calculate b(-8).
612
Let w(s) = -s**3 + 7*s**2 + 1295*s - 5200. What is w(4)?
28
Let h(q) = -37*q**3 + 393*q**2 + 48*q - 88. Give h(7).
6814
Let c(t) = -t**3 + 10*t**2 + 559*t + 1347. Give c(30).
117
Let b(x) = -23*x**2 + 3618*x - 3617. Calculate b(1).
-22
Let n(a) = -a**2 - 2879*a - 572762. What is n(-215)?
-2
Let n(z) = 12*z**2 - 460*z - 211. Determine n(42).
1637
Let d(a) = -a**3 + 94*a**2 - 78*a - 1392. Determine d(93).
3
Let i(n) = -78*n - 1370. What is i(-21)?
268
Let t(x) = x**2 - 1014*x + 202763. Determine t(740).
3
Let r(t) = 153621*t - 614366. Give r(4).
118
Let r(l) = 3*l**3 + 21*l**2 - 21*l - 229. Calculate r(-4).
-1
Let z(q) = 14*q**2 - 9282*q - 27968. Calculate z(666).
4
Let a(u) = 3*u**3 + 83*u**2 + 72*u + 478. Calculate a(-27).
-8
Let b(o) = -o**3 - 51*o**2 + 88*o + 1283. What is b(-52)?
-589
Let u(p) = -2574*p + 28009. Calculate u(11).
-305
Let l(o) = -68*o**2 + 53*o - 127. Determine l(3).
-580
Let z(j) = 83*j**3 + 9*j**2 - 45*j - 123. Calculate z(-3).
-2148
Let z(g) = -g**3 - 7*g**2 - 12*g - 126. Determine z(-11).
490
Let s(b) = 2*b**3 + 20*b**2 + 42*b - 118. Determine s(-7).
-118
Let z(c) = -c**3 - 21*c**2 - 100*c - 1408. Calculate z(-20).
192
Let g(f) = f**3 - 12*f**2 - 930*f + 4850. What is g(5)?
25
Let u(o) = -17*o**2 + 2447*o - 9751. Give u(4).
-235
Let c(r) = -3*r**3 - 381*r**2 - 428*r - 6301. Give c(-126).
-1
Let q(i) = -20*i**2 - 248*i + 3177. Give q(-20).
137
Let q(v) = 34263*v - 2501192. Calculate q(73).
7
Let j(p) = -3209*p - 38482. Give j(-12).
26
Let c(l) = -14680*l + 10320029. Determine c(703).
-11
Let x(y) = y**3 - 118*y**2 - 956*y + 71764. What is x(121)?
11
Let f(c) = -39322*c + 2909810. Determine f(74).
-18
Let u(k) = 656*k - 12237. What is u(19)?
227
Let u(w) = -6*w**3 - 637*w**2 - 108*w - 44. Determine u(-106).
168
Let y(k) = 3*k**3 - 550*k**2 - 298*k - 12941. Calculate y(184).
-61
Let s(o) = -1223*o**3 - o**2. Determine s(1).
-1224
Let j(w) = 4*w**3 - 52*w**2 - 248*w + 2673. What is j(14)?
-15
Let v(z) = -2*z**2 - 711*z - 15727. What is v(-23)?
-432
Let a(c) = -c**3 - 11*c**2 - 3327*c - 26475. What is a(-8)?
-51
Let n(k)


2*g + 4. Suppose 12 = 7*c - 3*c. Let u be x(c). Is -10/3 at most u?
True
Suppose v - 6 = -v. Let c be 33/15 - v/1. Do 2/7 and c have the same value?
False
Let o = 112 - 112.53. Let i = 0.7 + o. Is i > 1?
False
Let d(k) = -k**2 - 16*k + 10. Let f be d(-5). Is f != 66?
True
Let c(m) = -3*m**2 - 53*m + 14. Let z be c(-21). Is z > -393/2?
True
Let q(k) = -k**2 - 4*k + 7. Let l be q(-5). Let j = l - -11. Which is smaller: 11 or j?
11
Let d = 284 - 152. Suppose -6*p + 258 + d = 0. Is 67 > p?
True
Let s be 8/6*126/84. Which is smaller: 1/18 or s?
1/18
Let w = 16.2 + -5.1. Let b = w - 11. Are b and -1/5 non-equal?
True
Let v(j) = j**2 + 4*j - 4. Let p be v(-4). Let n be (6/(-15))/(p/40). Let r be (30/5)/(6/4). Is n greater than or equal to r?
True
Suppose 5*y + 121 = 4*r, -5*y + r + 36 = 145. Let c(t) = t - 16. Let a be c(-5). Do a and y have the same value?
True
Suppose -5*w - 3*w = -144. Let i be (-2)/(-12) - (-123)/w. Suppose -11*m = -i*m - 76. Which is smaller: m or 18?
18
Let y be -8 + -2 - (-188)/20. Is y equal to 1/5?
False
Let u = 8 + 224. Is 231 greater than u?
False
Let w = -40 + 32. Let z = w - -12. Suppose -13 = z*b + 27. Is -9 bigger than b?
True
Let d be 4 + 12/(-2) - -3. Let x be ((0/5)/5)/d. Suppose x*a + 4 = a. Which is bigger: 17/5 or a?
a
Let w = 123 - 66. Let x = 55 - w. Is x at least as big as 2.8?
False
Suppose 78*u - 21250 = 28*u. Which is smaller: 426 or u?
u
Let z = 0.0314 - -0.9686. Which is greater: z or -365?
z
Suppose 3*j = 2*u - 50, 4*u - 3*u - 18 = j. Let n be 380/105 - (-4)/j. Suppose 0*c = c - 4. Is c > n?
True
Let y(j) = -19 - 1 - 72*j + 64*j. Let d be y(-5). Which is bigger: 19 or d?
d
Suppose -r = -4*r - 5*q + 2, 3*r = 2*q + 16. Let g be 6/9 - r/(-12). Let v be (g/(-8))/((-1)/(-6)). Is v bigger than -1?
True
Let p = -195 + 216. Which is smaller: p or 20?
20
Let i(f) = -f**3 + 5*f**2 + 5*f + 2. Let k be i(6). Let y be (-6)/9*(k + -2). Suppose 2*q - y = -2. Is q less than or equal to 1/15?
False
Let m = 1545 - 1629. Is -77 greater than or equal to m?
True
Suppose -5*v = -o + 8, -2*v + 3*v = 4*o + 6. Let w be 11 - (-1102)/209 - 17. Is v greater than or equal to w?
False
Let n = -44 - -87. Let s = 53 - n. Is s less than or equal to 7?
False
Let s be (-422)/1592 - 7/(-28). Is s >= 1?
False
Let x(u) = u**2 + 11*u. Let f(o) = -2*o**2 - 21*o. Let t(p) = 6*f(p) + 11*x(p). Let s be t(-6). Let r be (6/(-5))/(2/10). Is r <= s?
True
Let d(y) = -2*y**3 + 2*y**2 - 1. Let t be d(-1). Let h = 35.3 + -37.3. Which is bigger: h or t?
t
Let b = 4979/302 - 33/2. Which is greater: b or -1?
b
Let g = -44 - -29. Let a = -10 - -12. Is g at most a?
True
Let x = -136.348 - -0.348. Which is smaller: x or 1?
x
Suppose -5*x - 4 = -9. Let q be (x/(-10))/(3/(-66)) + -3. Is q >= -2?
True
Let n be 1/((3 - 2)/1). Let l = 1613/4 - 403. Is n smaller than l?
False
Let p be 4/16 - (-108)/(-176). Which is bigger: p or -2?
p
Let l(k) = 71*k**3 - k**2 - k. Let j be l(1). Which is greater: j or 77?
77
Let c = 11 - 6. Let m be (261/(-6))/(c/(-2)). Let z = m + -1039/60. Is -1 greater than z?
False
Suppose 0 = -y + 8*y - 21. Suppose -5*g = -0*n + 2*n + 101, -n = y. Which is smaller: g or -18?
g
Let g(r) = r**3 + r**2. Let v be g(-1). Suppose -3*a = -v*a. Suppose a = -q - 4 - 3. Which is greater: -0.1 or q?
-0.1
Let x(v) = 84 - 3*v - v - 88 + 6*v. Let n be x(-4). Are -11 and n unequal?
True
Suppose 8*q = 7*q - 19. Let o(g) = -g**3 - 19*g**2 + 1. Let w be o(q). Which is greater: w or -1/6?
w
Suppose -13*m = -12*m + 1. Let i(p) be the first derivative of p**2 + p + 5. Let c be i(-1). Is c >= m?
True
Let j(g) be the second derivative of g**5/10 + 5*g**4/12 + g**3/2 - g**2 + g. Let y = -150 + 147. Let p be j(y). Which is smaller: p or -21?
-21
Let k be 6/(-4)*(-8)/(-42). Let c = -3162 - -3161. Is k equal to c?
False
Suppose 19 + 5 = 3*i. Suppose 3*u + 4*m = 4, 4*u - 3*m = -4 + 1. Let d = i - u. Which is greater: 7 or d?
d
Let s be 102 + -314 - (3 - -1). Which is greater: s or -4?
-4
Let z be 30/18 + (-10)/15. Suppose -5*s + 5*y + 40 = 0, -5*s - 4*y = 8 - 3. Does s = z?
False
Suppose 5*r + 27 = 2*q, 51 = 4*q - 5*r + 12. Let m be (-51)/(-15)*(q + -1). Is 17 > m?
False
Let f = 2.7 - 2.8. Let r be 40/22*-1 - 2/(-1). Do f and r have the same value?
False
Let i = -780 - -774. Is i equal to -116/23?
False
Suppose 5*u - 5 + 1 = 3*h, -h = u + 12. Let z be -62*(2/h - (-1)/2). Which is smaller: -17 or z?
-17
Let l = 3866/21827 - 12/299. Which is bigger: l or -1?
l
Let a be 6024/(-508)*(-3)/27. Let x = a - -2/127. Which is smaller: 0 or x?
0
Let d(b) = 16*b - 173. Let l be d(11). Is l != -39?
True
Let b(k) = -3*k**2 - k**2 + 4 - 2*k**3 + 5*k + k**3. Let g be b(-5). Suppose 0 = -5*u - 1 - g. Is -1 >= u?
True
Let h = 133 + -277. Is -145 less than h?
True
Suppose 2*u - 4*u - 2 = 0. Let v(y) = -25*y**3 - 1. Let l be v(u). Let k be -2*(-4)/l*-3. Is -5/6 not equal to k?
True
Let t be (-5 - (-238)/35)/(3/10). Is 1 at most t?
True
Let i be (3/3)/(1/(-7)). Let m = -353 + 347. Is i >= m?
False
Let n = -122.2 + 122. Which is smaller: -6.9 or n?
-6.9
Let j = -52 + 97. Let y = 3 - j. Which is smaller: y or 1?
y
Suppose 3*v = 4*t + 53, 5*v + 47 = -4*t + 114. Suppose -6*q + 3 = -v. Suppose -q*f = f. Which is smaller: -4/5 or f?
-4/5
Suppose -9*q = -14*q. Suppose -2 = -g - q. Suppose 0 = 3*d - d - 6. Are g and d unequal?
True
Suppose v + 1 = -v + 3*q, 0 = 3*v + 3*q - 6. Let u be (6*(-2)/(-20))/(v/(-5)). Which is smaller: u or -5?
-5
Let o(a) = -a**3 + 26*a**2 - 49*a + 47. Let w be o(24). Is 169/7 at most w?
False
Let q be -9*1 + (-277 - 58). Is q at least as big as -344?
True
Suppose -8*j + 17 + 7 = 0. Let a be j/(-6) - (-46)/4. Which is smaller: a or 35/3?
a
Let p be (3/2)/(5/(8 + -278)). Is -82 not equal to p?
True
Let n = 715/474 - 2/237. Are 1 and n equal?
False
Suppose 9*c - 7*c = -68. Let p be 4*(1 - (-27)/c) - 1. Let y(t) = t**2 + 3*t + 1. Let z be y(-3). Which is bigger: z or p?
z
Suppose r - 4*f = -33, 64 = -4*r + r + 5*f. Let w = 8 + -10. Let i be (12/(-24))/(w/4). Are i and r nonequal?
True
Let z = 13 - 31. Which is smaller: -0.6 or z?
z
Let i be (-136)/(-14) + 6/21. Let b(t) = -11*t + 8. Let v(m) = -m**2 - 10*m + 9. Let h(o) = -3*b(o) + 2*v(o). Let y be h(5). Which is bigger: i or y?
i
Let x = -10886 - -11040.29. Let n = x + -154. Which is smaller: n or -2/3?
-2/3
Let z be (-198)/(-36)*(2 + -4). Is z at most as big as -58/5?
False
Let g(y) = -3*y**3 + 8*y**2 + 9*y. Let o(x) = 7*x**3 - 15*x**2 - 18*x. Let v(s) = -5*g(s) - 2*o(s). Let q be v(9). Let a = q - -2591/16. Is a >= -1?
True
Let m = 123.1 - 135. Which is smaller: m or 1?
m
Suppose 38*x = 41*x - 6, -2*x + 44 = -5*t. Which is smaller: -17 or t?
-17
Let u be ((-15)/5 + 4)/(-1). Let s be u/10*38 - 3 - -3. Is s != -2/7?
True
Suppose 34*o = -5*o + 351. Is 17 at most as big as o?
False
Let x(c) = -3*c**2 + 5*c - 9. Let z(q) = -q**2 + q. Let j = 11 + -12. Let m(a) = j*x(a) + 4*z(a). Let y be m(-4). Is y less than -5?
False
Let j = 149 + -178. Which is bigger: j or -2/9?
-2/9
Suppose -2*s = -3*v - 2, 0 = 4*s + 4*v - 3 - 1. Let g be -4*s/(-16)*2*-10. Do -5 and g have different values?
False
Let f = 59.6 + -63.6. Let p be 142/(-1995)*(-30)/9. Let h = p - 2/133. Which is smaller: h or f?
f
Let v be 8/(-1*2/2). Suppose 65*o - 27*o = 30*o - 56. Are o and v equal?
False
Suppose -379 = 9*f + 206. Let z = f + 91. Which is greater: z or -1?
z
Let h be (3 + -2 + -1 - -2) + -2. Suppose -4*g = -3*u - 18, -4*g + 3*g + 3 = h. Suppose -4*a - 6 = -2*b, -3*b + 6 = -3*a - 0. Do u and a have different values?
True
Suppose 5*c = -58*c - 2583. Let n = -12 + -28. Is c smaller than n?
True
Let m(s) = s**2 + 7*s + 6. Suppose 5*w - b = 2*b - 27, b = -3*w - 19. Let r be m(w). Let t = 119/4 + -1079/36. Is t < r?
True
Let h be (123 - 122)/((-2)/244). Does -122 = h?
True
Suppose -2*d + 3*o = 35, -11*d - 2*o = -7*d + 78. Is -58/3 bigger than d?
False
Let v = 227 + -226.88. Is v bigger than -0.04?
True
Let n = 34.7 + -34.6. Suppose -5*f + 2 = 2*p, 0 = -0*p + 3*p - 4*f + 20. Which is bigger: p or n?
n
Let z = 3 + -3.1. Let t = z + 0. Let d = -7811 + 7822. Are t and d unequal?
True
Let u = -0.28 - 3.72. Which is smaller: 138 or u?
u
Let a be (-3 - -2 - -3)/(0 - 2). Let g be ((-1)/a)/(-1 + 0). Is -1/54 at most g?
False
Let l = 0.054 + 2.346. Let p = -12.6 - l. Is


18*d - 12*d**3.
-2*d*(d - 3)**4/9
Let g(q) be the first derivative of 2*q**6/3 - 8*q**5/5 + q**4 - 9. Solve g(f) = 0.
0, 1
Let d(s) be the second derivative of s**7/126 + s**6/90 - s**5/60 - s**4/36 - 8*s. Factor d(p).
p**2*(p - 1)*(p + 1)**2/3
Let g be 0*(-5)/40*(-1)/2. Let v(f) be the third derivative of 0 + g*f + 0*f**4 + 0*f**3 + 0*f**5 + 1/735*f**7 - 3*f**2 - 1/420*f**6. Factor v(x).
2*x**3*(x - 1)/7
Factor -3/4*k**3 - 1/2*k**2 + 1/2 + 3/4*k.
-(k - 1)*(k + 1)*(3*k + 2)/4
Let q(w) be the second derivative of 2/33*w**4 + 3/110*w**5 - 4/33*w**3 + 0 - 1/231*w**7 - 2/165*w**6 + 3*w + 0*w**2. What is d in q(d) = 0?
-2, 0, 1
Let u(d) = d. Let y(o) = -1. Let q(x) = -2*u(x) + 2*y(x). Let z be q(-2). What is v in -2*v + 2 + v - 2*v**2 + v**z = 0?
-2, 1
Suppose -2*i - 17 = -3*v - 0, 5*i = -2*v + 24. Suppose v*y = 3*y + 8. Factor -o - o**y - 7 + 7.
-o*(o + 1)
Suppose 0 = -2*m - 8*a + 3*a + 6, -3*m + 4*a + 9 = 0. Suppose 3*f - 3*f + m - 2*f - f**2 = 0. Calculate f.
-3, 1
Let n(l) = -15*l**2 + 33*l + 18. Let q(y) = y**2 - y - 1. Let p(u) = -n(u) - 18*q(u). Determine x so that p(x) = 0.
-5, 0
Let w be (-1)/(-7)*(3 - 16/6). Let l(r) be the second derivative of 1/35*r**5 + 0*r**4 - 3*r + 0 + 0*r**2 + 0*r**6 - 1/147*r**7 - w*r**3. Factor l(d).
-2*d*(d - 1)**2*(d + 1)**2/7
Let d = 32139/22 - 1462. Let v = d - -18/11. Factor 0 - v*n**3 + 1/2*n**2 + 0*n.
-n**2*(n - 1)/2
Let q(z) be the second derivative of z**4/3 - 4*z**3/3 - 6*z**2 + 9*z. Factor q(f).
4*(f - 3)*(f + 1)
Suppose 2*n + 2*u - 6 = -0*n, 4*n = u + 12. Let m = n + -3. Factor r - r**3 + m*r**2 + 1/2 - 1/2*r**4.
-(r - 1)*(r + 1)**3/2
Let n(w) be the second derivative of w**4/4 - 2*w**3 - 14*w. Factor n(h).
3*h*(h - 4)
Factor -3*a**2 + 9*a - 20*a**3 + 17*a**3 - 9 + 6*a.
-3*(a - 1)**2*(a + 3)
Let x = 17/11 + -131/99. Factor -x*o**2 + 2/9 + 0*o.
-2*(o - 1)*(o + 1)/9
Let i = 4 - 1. Let j(x) be the first derivative of 0*x**2 + 0*x - 3/4*x**4 - 1/5*x**5 - 2/3*x**i - 1. Factor j(w).
-w**2*(w + 1)*(w + 2)
Let r = 10 + -10. Suppose r*y = -4*y + 8. Let -25*h**3 - 4*h**2 + 4*h**y + 4 - 3*h**2 + 8*h**2 + 16*h = 0. Calculate h.
-2/5, 1
Suppose 2*z + 1 = 2*o + 5, 0 = 4*z - 5*o - 7. Let h(f) be the second derivative of -1/24*f**4 + 0 - 1/4*f**2 - z*f + 1/6*f**3. Factor h(r).
-(r - 1)**2/2
Let -2/5*f**2 + 0*f - 4/5*f**3 + 0 - 2/5*f**4 = 0. What is f?
-1, 0
Let l(i) be the first derivative of -i**3/15 + i**2/5 - i/5 + 2. Suppose l(m) = 0. Calculate m.
1
Factor 5*g**2 - 5*g + 5*g**3 + 5 - 5 + 0 - 5*g**4.
-5*g*(g - 1)**2*(g + 1)
Let h(m) = 2*m**2 - 2*m. Suppose -t + 10 = -4*y - 1, -1 = t + 2*y. Let n(b) = b**2 - b. Let g(v) = t*h(v) - 8*n(v). Factor g(l).
-2*l*(l - 1)
Suppose 184 + 135*n - 4*n**2 - 220 - 748 - 23*n = 0. What is n?
14
Let f(o) be the first derivative of -o**6/9 - 4*o**5/15 + 4*o**3/9 + o**2/3 + 5. What is u in f(u) = 0?
-1, 0, 1
Let m = -411 + 413. Factor -327/4*k**m - 147/4*k**4 - 3 + 27*k + 189/2*k**3.
-3*(k - 1)**2*(7*k - 2)**2/4
Factor 0 + 3/4*f**2 - 3/2*f.
3*f*(f - 2)/4
Let s(n) be the second derivative of -n**4/54 + 2*n**3/9 - n**2 - 2*n. Let s(o) = 0. What is o?
3
Solve 0 - 2/9*m**3 + 0*m - 2/9*m**2 = 0 for m.
-1, 0
Let g be 7/6*6/42. Let n(y) be the second derivative of 0 - 1/3*y**2 - 1/36*y**4 - 2*y - g*y**3. What is z in n(z) = 0?
-2, -1
Let n(l) be the second derivative of -l**8/840 - l**7/140 - l**6/180 + l**5/20 + l**4/6 - l**3 - 6*l. Let q(w) be the second derivative of n(w). Factor q(f).
-2*(f - 1)*(f + 1)**2*(f + 2)
Let p = 29 + -30. Let f be (1 - 0)*-3*p. Determine m, given that -1/3*m**f + 4/3*m**2 + 2/3 - 5/3*m = 0.
1, 2
Let a(d) = -12*d**3 + 90*d**2 - 78*d - 27. Suppose 0 = -l - 0*l + 2. Let u(c) = c**3 - 7*c**2 + 6*c + 2. Let s(h) = l*a(h) + 27*u(h). Factor s(i).
3*i*(i - 2)*(i - 1)
Let j(r) = -38*r**2 + 48*r - 14. Suppose -w - 3 = -6. Let h(l) = 39*l**2 - 48*l + 13. Let n(g) = w*j(g) + 2*h(g). Factor n(b).
-4*(3*b - 2)**2
Let -4/13*o + 2/13 + 2/13*o**2 = 0. Calculate o.
1
Let r(d) = -5*d**4 + 10*d**3 + 24*d**2 - 26*d - 128. Let m(k) = 4*k**4 - 10*k**3 - 24*k**2 + 27*k + 128. Let s(n) = -6*m(n) - 5*r(n). Factor s(q).
(q - 2)*(q + 4)**3
Let w(f) be the second derivative of f**7/105 - f**6/75 - f**5/50 + f**4/30 + 2*f. Determine h, given that w(h) = 0.
-1, 0, 1
Let v be 2/6 - ((-114)/36 + 3). Let m(x) = x - 4. Let y be m(4). Find t, given that -9/4*t**2 + y + v*t = 0.
0, 2/9
Let f(d) be the first derivative of -d**6/24 - 3*d**5/20 + d**3/3 - 18. Factor f(j).
-j**2*(j - 1)*(j + 2)**2/4
Let v(i) be the first derivative of -10*i**6/3 - 68*i**5/5 - 21*i**4 - 44*i**3/3 - 4*i**2 - 44. Solve v(w) = 0.
-1, -2/5, 0
Let g(s) be the second derivative of -1/21*s**7 + 2/15*s**6 + 0*s**2 + 0 + 0*s**5 + 1/3*s**3 - 1/3*s**4 + s. Factor g(m).
-2*m*(m - 1)**3*(m + 1)
Let m(i) = i**2 - 3*i**2 - 2 - 4. Let j(t) = -5. Let x(h) = 9. Let r(p) = 11*j(p) + 6*x(p). Let l(c) = m(c) - 6*r(c). Determine u so that l(u) = 0.
0
Suppose -21/4*r + 3/2*r**4 - 21/4*r**5 - 3*r**2 + 21/2*r**3 + 3/2 = 0. What is r?
-1, 2/7, 1
Let o(p) be the first derivative of -125*p**6/24 - 35*p**5/4 - 15*p**4/8 + 7*p**3/3 + p**2 + 6. Suppose o(l) = 0. What is l?
-1, -2/5, 0, 2/5
Let w = 363/3640 - 3/65. Let a(l) be the third derivative of 1/2*l**6 + 0 + 1/70*l**7 - w*l**8 + 0*l - 3*l**2 + 9/20*l**5 - 2*l**3 - l**4. Solve a(y) = 0 for y.
-1, -1/2, 2/3, 2
Factor 8/9*q**2 + 0 + 0*q - 10/9*q**3 + 2/9*q**4.
2*q**2*(q - 4)*(q - 1)/9
Let g(v) be the third derivative of -v**7/630 + v**5/60 + v**4/36 + 12*v**2. Determine h so that g(h) = 0.
-1, 0, 2
Let l = -581 + 5231/9. Factor 2/3*o**4 + 2/9*o - 10/9*o**3 + l*o**2 + 0.
2*o*(o - 1)**2*(3*o + 1)/9
Let u = -198 - -991/5. Factor -u + 1/5*x**2 + 0*x.
(x - 1)*(x + 1)/5
Find w, given that 5/2*w**5 - w - 7/2*w**4 + 0 - 3/2*w**3 + 7/2*w**2 = 0.
-1, 0, 2/5, 1
Let x(o) = o**5 + o**4 + o**3 - o**2 + o. Let r(k) = 2*k**5 + 5*k**4 + 2*k**3 + k**2 - k. Let p(v) = -r(v) - x(v). Suppose p(n) = 0. What is n?
-1, 0
Let x(y) be the third derivative of y**6/80 - y**5/40 - y**4/16 + y**3/4 + 3*y**2. Find j such that x(j) = 0.
-1, 1
Let t(u) be the third derivative of -u**5/160 - u**4/32 + 3*u**3/16 + 3*u**2. Determine z so that t(z) = 0.
-3, 1
Let o(m) be the first derivative of 2*m - m**4 + 12/5*m**5 + 7/6*m**6 + 4 - 14/3*m**3 - 3/2*m**2. Determine w, given that o(w) = 0.
-1, 2/7, 1
Let b(q) be the third derivative of q**6/1440 + q**5/240 + q**3/3 + 2*q**2. Let v(k) be the first derivative of b(k). Find j such that v(j) = 0.
-2, 0
Let u(j) = -7*j**2. Let v(y) = 4*y**2. Let w(r) = -r**2 - 11*r - 8. Let p be w(-9). Let z(i) = p*v(i) + 6*u(i). Factor z(k).
-2*k**2
What is c in -2*c**2 + 0*c**4 + 5*c**4 + 10*c**3 - c**2 - 10*c - 2*c**2 = 0?
-2, -1, 0, 1
Let v(s) be the first derivative of 2 + 2*s**2 + 2/3*s**3 + 2*s**5 - 4*s**4 + 0*s. Suppose v(g) = 0. Calculate g.
-2/5, 0, 1
Let x(j) = -4*j**5 - 2*j**4 + 4*j**3 + 2*j**2. Let g(l) = -21*l**5 - 10*l**4 + 21*l**3 + 10*l**2. Let s(r) = 4*g(r) - 22*x(r). Suppose s(m) = 0. Calculate m.
-1, 0, 1
Let w(i) = -i**2 - 5*i + 7. Let l be w(-5). Suppose l - 6*q - 3*q**2 + 2 - 4*q**2 + 4*q**2 = 0. Calculate q.
-3, 1
Let d be (-10)/(-18) - 10/(-15). Let a = d + 1/9. Find w, given that 20/3*w - a - 25/3*w**2 = 0.
2/5
Factor -1/3 + 0*o + 1/3*o**2.
(o - 1)*(o + 1)/3
Let m(g) = -g**2 - 7*g - 6. Let i be m(-6). Suppose i = 2*f - f. Factor f*v - 4*v**3 + 6*v**3 + 2*v - 3*v**2 - v**2.
2*v*(v - 1)**2
Factor -151*x - 4*x**3 + 75*x + 76*x + 12*x**4.
4*x**3*(3*x - 1)
Let f(k) be the first derivative of 54/11*k + 27/11*k**2 + 6/11*k**3 + 6 + 1/22*k**4. Factor f(r).
2*(r + 3)**3/11
Let f(b) be the third derivative of -b**7/385 + b**6/55 - b**5/22 + b**4/22 + 18*b**2. Let f(k) = 0. Calculate k.
0, 1, 2
Let p be 15/25 + 14/10. Suppose p + 4 = 3*v. Let -12/7*b**4 + 0 + 3/7*b**5 - 12/7*b**v + 18/7*b**3 + 3/7*b = 0. What is b?
0, 1
Suppose -2*r + 6*r - 8 = 0. Suppose -r = -b - b. Let v(j) = j**4 + j**2 + j. Let g(z) = z**5 + 3*z**3 - 2*z**2 - 3*z. Let o(p) = b*g(p) + 3*v(p). Factor o(x).
x**2*(x + 1)**3
Let d = -88 - -265/3. Let k(b) = b**2 - 2*b + 2. Let v be k(2). Factor -2/3 + 1/3*i**v + d*i.
(i - 1)*(i + 2)/3
Suppose 4*q - 4 = -y - 1, -3*q + 2*y + 16 = 0. Suppose -2*x = d - 11, 0 = 2*x - 2*d + 2 + q. Factor 12*u - x*u**2 + 0 + 0 - 12.
-3*(u - 2)**2
Let m(s) = 2*s**2. Let x(i) = 5*i**4 - 6*i*


 = -2*b. What is the least common multiple of k and b?
56
Suppose 18 = -0*w - 3*w. What is the common denominator of 45/w - (-4)/(-10) and 101/20?
20
Let h = -803/18 + 11593/252. What is the common denominator of 524/(-24) + -6 + (-140)/(-21) and h?
84
Let x be 8/(-40130)*168526/(-8). Let v = 2/4013 + x. What is the common denominator of v and -43?
5
Let m be (24/15 + -2)*15. What is the common denominator of 59/9 and (-291)/m - (-1 + 1)?
18
What is the common denominator of -22/5 and 30/(-105) + (-151)/35?
5
Suppose 5*f + 15 = 1065. Suppose 4*t - t - f = 0. Find the common denominator of 37/4 and (-46)/t - 3/15.
28
Let f = -16 - -19. Let l = f + 17. What is the smallest common multiple of 4 and l?
20
Suppose 2*l - 9*l - 70 = 0. What is the common denominator of l and 19/11?
11
Let w = -14198045/12 - -1183977. Let h = w + -812. Calculate the common denominator of -75/22 and h.
132
Suppose 0*j - 2*j + 11 = -5*t, 3*j + 4*t = -18. Suppose 5*p + 0*p = 4*n - 196, -p + 5*n = 35. Calculate the common denominator of j/6 - 267/36 and p.
4
Suppose 0 = -3*t + 12, 2*n - 3*t = -2 - 46. Calculate the smallest common multiple of -4*6*n/24 and 8.
72
Let y = -6 + 17. Let h = -57 - -80. Let n = h + -14. What is the lowest common multiple of n and y?
99
Let x be 2 + -3 + (-431)/(-433). Let d = x - 3023/1732. What is the common denominator of 1/16 and d?
16
Calculate the common denominator of ((-3)/(-84))/(1/6) and -31/12.
84
Suppose 32359 = -5*h + 1714. Let w = h - -2077729/339. Let r = 487/452 - w. Find the common denominator of -31/18 and r.
36
Suppose -4*a + 27 + 37 = 0. Let n = a + -2. What is the smallest common multiple of 10 and n?
70
Suppose 4*h - 40 = 56. Suppose 0*b + h = 2*b. What is the smallest common multiple of 22 and b?
132
Let j(z) = -z + 7. Let n be j(6). Let y = n - -9. Calculate the lowest common multiple of 4 and y.
20
Let a(m) = -m**2 + 18*m - 14. What is the smallest common multiple of a(17) and 12?
12
Let a be -1 - (-1 + (-6809)/292). Let n = -78/73 + a. Let o = -22273/11 + 2029. Find the common denominator of n and o.
44
What is the common denominator of 6/4 - (-253)/374 and 4/7?
119
Let u = -327/2 + 171. What is the common denominator of 67/74 and u?
74
Let o(c) = c**3 + 4*c**2 + 2*c + 4. Let v be o(-3). Let i = 13 - v. Calculate the lowest common multiple of 10 and i.
30
Let p(l) = -7*l**3 - l**2 - 3*l - 1. Calculate the lowest common multiple of 2 and p(-1).
8
Let u(i) = -i**3 + 2*i**2 + 1. Let c be u(2). Suppose c = h - 0*h. Calculate the smallest common multiple of 4 and ((-2)/5)/(h/(-20)).
8
What is the common denominator of (-672)/(-49)*((-5)/3)/5 and -49?
7
What is the common denominator of -53/4 and (7 - 51/7) + 1854/560?
40
Let k be ((-124)/(-108) + -1)*-1014. Let d = k - -2287/18. Find the common denominator of d and 99/2.
6
Suppose l = -5*c - 5, c = -0*l - 3*l + 55. What is the lowest common multiple of 44 and l?
220
Let f be 33 + (-4)/(-6)*-3. Suppose 0 = -2*m + v + f, -m + 52 = 3*m - 4*v. Suppose -m = i - 2*i. Calculate the smallest common multiple of i and 10.
90
Find the common denominator of ((-2)/((-16)/134))/(36/(-24)) and -61/15.
30
What is the common denominator of (-6)/(-124)*440/(-30) and 131/6?
186
Suppose -b + 2*h = -3 - 11, 4*b = -2*h + 26. What is the least common multiple of b and 12?
24
Let u(a) = a**2 + 13*a + 14. Let m(f) = -f**3 + 3*f**2 + 6*f - 4. What is the lowest common multiple of m(4) and u(-12)?
4
Let b = -125231/20 + 6265. Let i = 8/65 + 5769/130. Find the common denominator of b and i.
20
Suppose -2*h = -2*x + 6, -4*x = -h - 2*x - 4. Calculate the least common multiple of 4 and -21*(0 - h/(-6)).
28
Let x be 1 + (2 - (-18334)/(-6114)). Let t = x - -141625/12228. Calculate the common denominator of t and -89/20.
60
Suppose 5491 = y - 4114. Let v = 172939/18 - y. Calculate the common denominator of v and -1 + 0 + 85/(-22).
198
Suppose -4*j + 0*j = 0, -4*j - 16 = 4*a. Let u be 8/(-5) - a/(-10). Find the common denominator of -53/10 and u/3*(-318)/56.
70
Let m be 6 + (1 - 0) + -4. Let n = 17 - m. Calculate the lowest common multiple of 12 and n.
84
Let t = 3921/4 - 965. Calculate the common denominator of t and -37/18.
36
Let a = 44923/4740 - 24/395. What is the common denominator of 1*(0 - 162/68) and a?
204
Let r = -75 + 148. Calculate the common denominator of -87/2 and (r/(-16))/((-9)/12).
12
Calculate the smallest common multiple of 3 and -3 + 8 + -3 + -1.
3
Let l be 1 + (-87)/(-54) - 1. Let a = l - -58/45. Let p = 36 - 4. What is the common denominator of p and a?
10
Suppose -2*s = -0*s - 4*w - 10, -22 = -3*s - w. Calculate the lowest common multiple of s and 9.
63
Suppose 2*f = 4*f - 24. Suppose 2*z = 3*z - f. Let h(b) = b**2 + 2*b + 4. What is the smallest common multiple of z and h(-4)?
12
Let k = 4 - 4. Suppose 4*m = -k*m + 8. Calculate the lowest common multiple of 11 and m.
22
Suppose 3*c + 3 = -k - 1, 5*k + 20 = 4*c. Suppose l + c*l = 2. Find the common denominator of -51/4 and l + 1 + 7/10.
20
What is the lowest common multiple of 24 and (70/20)/((-2)/(-12))?
168
Let z be (1 - 1) + 1 - -4. Suppose -z*m + 1 = -a, -a + 6*a - m - 43 = 0. Calculate the common denominator of -3 - -2 - (-56)/a and 28/5.
45
Let g(u) = -u**2 + 7*u + 4. Let w be g(7). Let m be 2/w*(11 - 3). Calculate the smallest common multiple of 32/m*3/2 and 2.
12
Let w = -3005226409457/651881525850 - 1742/10421767. Let g = w - 3/3475. Find the common denominator of g and 41/(-4)*(-4)/(-22).
198
Suppose 26 = 5*u - 4*z, 5*u - 5*z + 7 - 32 = 0. Suppose 5*m + u - 56 = 0. Suppose 5*x - m - 50 = 0. Calculate the lowest common multiple of x and 18.
36
Suppose 0 = w - 5*w + 20. Suppose 21 = 5*s + 2*x, -s - 6 = -8*x + w*x. Suppose -49 = -5*j + 6. What is the smallest common multiple of j and s?
33
Let t = -1356495 + 12175109/9. Let z = t - -3709. Let n = 330 - 1629/5. Find the common denominator of n and z.
45
Suppose 0 = -o - 2*o + 30. Let z(h) = h**3 - 3*h**2 + 3*h - 1. Calculate the smallest common multiple of o and z(3).
40
Let l(s) = -2*s**2 + 21*s. What is the lowest common multiple of 46 and l(10)?
230
Let g = 55 - 32. Let r be (-1)/(-2 + 3 - 0). Calculate the common denominator of (r + g)*2/(-64) and 53/6.
48
Suppose -2*i + 2 = 0, -4*i - i - 27929 = s. Let x = s + 1173365/42. Calculate the common denominator of 115/12 and x.
84
Calculate the lowest common multiple of 10 and (-4 - -5)*(12 - -2).
70
Suppose 14 = -5*c + 429. Let l be 1/4 + 1145/(-12). Let r = c + l. Find the common denominator of 12/11 and r.
66
Let i = 36/31 + 947/279. Find the common denominator of 49/9 and i.
9
Let n(u) = -u**2 - 3*u - 1. Let h be n(-2). Calculate the lowest common multiple of 11 and (0 - 21)/(-3) + h.
88
Let y = -1865/1672 - 2/209. Calculate the common denominator of (-1)/(1*(-6)/(-118)) and y.
24
Suppose -42 = -v + 58. Suppose -6*n + v = -n. What is the lowest common multiple of 8 and n?
40
Find the common denominator of 73/18 and 4/(-6) - ((-92)/(-12) + -3).
18
Let r = 12 - 9. What is the lowest common multiple of (63/12)/(r/8) and 8?
56
Let l = -6 + 8. Let m be 507/(-9) - l/(-6). Find the common denominator of -33/4 and 4*((-2)/m - -2).
28
Let i = 350 + -1411/4. Let x = 209 - 96. What is the common denominator of i and (-3)/12 + x/(-44)?
44
Let u(t) = -t**3 + 3*t**2 + 2*t. Let y be u(3). Let m be y/8*(-1030)/(-45). Let b = m - 17. Calculate the common denominator of 34/9 and b.
18
Let p be (1 + 1)/((-8)/20). Let y(a) = a**3 + 8*a**2 + 4*a - 4. Let s be y(p). Calculate the common denominator of -57/16 and (6/9)/((-28)/s).
112
Let f(w) = -w**3 - 6*w**2 + 5*w + 4. Let y be f(-7). Find the common denominator of -43/8 and (89/y)/((-2)/6).
24
Let g = 4342 - 47797/11. Find the common denominator of g and 7/3.
33
Let b = 111869/2514 + 2/1257. Let j = -73347/20 + 3671. Find the common denominator of j and b.
20
Let g be 3*(-21)/(-9) + -2. Calculate the least common multiple of 7 and g - -8*(-1)/2.
7
Let t(f) = f**3 - 7*f**2 + 8*f + 4. Let x(r) = r**3 - r**2 - 2*r + 1. Let b be x(2). Suppose 11 = 3*g - b. What is the smallest common multiple of g and t(6)?
16
Let o(x) = x**3 - 5*x**2 - 7*x + 9. Calculate the smallest common multiple of o(6) and 3.
3
Find the common denominator of -47/36 and 138/(-9)*(0 - (-3)/44).
396
Let m be (-20)/(-6) - (-4)/


Solve 5*j - j + 20 = d for j.
-5
Let n = 4 + -2. Suppose -1 = -m + n*d - 5, 4*m - 2*d = -4. Suppose -3*v + 3 + 3 = m. Solve 0 = -0*i + v*i for i.
0
Let l be 22/4 + (-3)/6. Let r be l/(-10) - 1/(-2). Solve -2*c + 3*c = r for c.
0
Let d = -12 - -16. Solve -2 = -d*w - 14 for w.
-3
Let a be 1*(2 - 0) - -2. Suppose -3*i = -0*x + 5*x - 31, -5*x + 2*i + 21 = 0. Solve a*m + x = -11 for m.
-4
Let o = 14 - 10. Solve y - o = -1 for y.
3
Suppose 0*s - 5*s + 40 = 0. Suppose -s*j - 4 = -9*j. Solve -5*f + 16 = -j for f.
4
Let u be -2 + (1 - 1*-4). Solve 3*j + 0*j - u = 0 for j.
1
Let c(m) = -2*m + 4. Let l be c(0). Solve -2 = -l*z - 6 for z.
-1
Let i = 17 - 11. Solve -4 = -5*a + i for a.
2
Let n(z) = 2*z**3 + 13*z**2 + 6*z. Let j be n(-6). Suppose l + u = 4*l - 30, 0 = 3*u. Solve -5*s + l = -j for s.
2
Let z = -15 + 18. Solve -12 = -z*y - 0*y for y.
4
Let r(s) = 8*s - 1. Let l be r(2). Suppose 1 = 3*c - 2. Suppose -5*b = -j + l - c, -2*j - 3*b + 2 = 0. Solve -o = -j*o for o.
0
Let b(g) = -g**3 - 12*g**2 - g - 9. Let q be b(-12). Let v = q - -1. Solve 3*m + v = -5 for m.
-3
Let g(n) = n**3 + n**2. Let i(m) = 5*m**3 + 10*m**2 - 7. Let a(j) = -4*g(j) + i(j). Let u be a(-5). Let q be u/(-45) - 284/(-10). Solve -5*f - q + 8 = 0 for f.
-4
Suppose -i - 4*i + 36 = 4*z, 2*i = 2*z. Solve a - 1 = z for a.
5
Let p be (-32)/(-15) + (-8)/60. Solve -p*k = 3*k for k.
0
Let j(m) = -m**3 + 5*m**2 + 15*m - 4. Let y be j(7). Solve 0 = 4*o - y + 15 for o.
-3
Let x(r) = 15*r - 1. Let o be x(1). Let l = 34 - o. Let q be (-22)/(-5) + (-8)/l. Solve 2 = -2*z + q for z.
1
Let w = -7 - -10. Suppose -4*t = u - 2*u - 1, 0 = 4*t + 5*u + 29. Let z be 0/(-1*(-2)/t). Solve z*r + w = -r for r.
-3
Let g(z) = -2*z - 10. Let r be g(-9). Suppose -5*y + 22 = -r. Suppose -25 = -y*q + q. Solve 0 = s + 2 - q for s.
3
Let z(w) = w**2 - 2*w - 3. Let q be z(6). Suppose 3*j = -3*p + p + 22, -p + q = 4*j. Solve x + 12 = p*x for x.
3
Suppose -4*d + 4*r = -d + 1, -r = 2*d + 8. Let g be 1 - (-3 - (d + 2)). Solve 0*w = -g*w + 9 for w.
3
Let o(a) = -a**3 + 3*a**2 + 6*a - 2. Let i be o(4). Suppose 3*h = 4*m - i, -h + m = -4*m + 13. Solve 0 = h*g - 2 for g.
1
Suppose 0*d = 10*d - 20. Solve 3*f + 5 = -d*f for f.
-1
Suppose -q - q - 4*u + 10 = 0, 0 = 3*q - 3*u + 3. Suppose -2*w + 2 = 2*k, -2*k + q = 5*w - k. Solve -2*c - 2 = -w*c for c.
-1
Suppose 0 = c - 2 + 1. Let f = c - 0. Solve -3*x = -2*x - f for x.
1
Suppose 2*h + 7 = a, 5*a + 3*h - 6 = 3. Let b(y) = -y + 2. Let l be b(3). Let d = a - l. Solve d*q + 19 = 7 for q.
-3
Let x(k) = k**2 + 5*k - 2 - 1 + 0. Let s be x(-6). Solve -s*z - 1 = -10 for z.
3
Let j be (-9)/(-1) + (-7 - -3). Suppose 3*y + a - 11 = 0, -2*y + j*y - a = 1. Solve o + 1 = y for o.
1
Let w = -67 - -73. Solve -x + w*x = -15 for x.
-3
Let o be (-93)/(-33) - 4/(-22). Suppose 2*b = o + 1. Suppose -s - b*s = -9. Solve -1 + s = 2*y for y.
1
Suppose 12 = 4*d, 5 = 2*x - 3*d - 0*d. Suppose -x*o + 3*o = 0. Solve 0 = -3*w - o*w - 15 for w.
-5
Let m = -145 - -161. Solve -m*j = -14*j for j.
0
Suppose 9 = 2*o + 1. Solve 12 = o*n - 0 for n.
3
Suppose 22 = -2*x - 2. Let g be 3*(x/9 + 2). Solve -5*q - g - 23 = 0 for q.
-5
Suppose y + 6 - 4 = 0. Let b be 0/y*(-2)/(-4). Solve 0*w + 2*w = b for w.
0
Suppose -5*y + 0*m + 56 = -m, -3*m + 24 = y. Let k = -4 + y. Solve 0 = -c - 3*c + k for c.
2
Suppose -2*g - 20 = -g - 5*v, -v = -g. Let s(a) = -a**2 + 8*a + 9. Let n be s(7). Solve -m - n = -g*m for m.
4
Suppose -2*l + 8 + 7 = 3*o, -o - 29 = -5*l. Suppose l - 2 = 2*y. Solve -y + 0 = -2*k for k.
1
Suppose -3*r = -2*p - 15, 5*r = 2*p + 2 + 3. Let y be ((-28)/(-35))/((-6)/p). Solve -4 = -2*o - y*o for o.
1
Let m(b) = b**2 + 5*b - 3. Let h be m(-6). Suppose -4*g - 2*o + 5*o + 13 = 0, 6 = -h*g - 3*o. Solve -5 = 4*s - g for s.
-1
Let q(u) = -2*u - 2. Let x be q(-5). Let a = x - 4. Solve -a*o = -0*o + 12 for o.
-3
Let a(z) = 5 + 4*z - z**2 - 5 + 5 + 4. Let m be a(5). Solve -2*i - m = -3*i for i.
4
Suppose 6 = 2*i - 2. Suppose -u - i*u = -30. Suppose -3*q + u*h - h + 26 = 0, -3*h = 3*q + 6. Solve b + b = q for b.
1
Let h = -77 - -85. Solve -v - v = -h for v.
4
Suppose 2*f = 8, -5*o - 2 = -4*f - 6. Suppose -o*s + 84 = -4*m, 5*s - 2*m - 102 = -0*m. Solve -s = -3*a - 2*a for a.
4
Suppose 0*y = -4*y + 112. Let v = -18 + y. Let b be 1/(2*(-2)/(-8)). Solve 4*t - v = b for t.
3
Let h = -138 + 140. Solve -i - h*i + 9 = 0 for i.
3
Suppose -219*m - 6 = -220*m. Solve 9 = -3*x - m for x.
-5
Suppose -6*h + 3*h + 6 = 0. Solve h = -f - f for f.
-1
Let l(r) = 2*r**2 + 5*r - 6. Let f be l(2). Solve 3*h + f = 7*h for h.
3
Suppose -2*b - 6 = 2, -4*o + 52 = -2*b. Let n be (0 - -4) + (10 - o). Solve -5 - n = 4*x for x.
-2
Let l be (2 + (3 - 5))/(-1). Solve l*a = a + 4 for a.
-4
Suppose -38 - 109 = -3*y. Let d be (14/y)/(1/7). Solve t - 3*t - d = 0 for t.
-1
Let s(t) = t**3 + 3*t**2 + 2*t + 3. Let h be s(-2). Solve h*m = -2*m for m.
0
Suppose 5*u = 4*r + 2410, 3*r + 5*u = -0*r - 1790. Let h be (-1)/(-4) + r/(-32). Let v = h - 13. Solve n = 4*n - v for n.
2
Suppose -4*o - 2 = b, b - 2 = 2*b - 5*o. Let k be 2/(b + (-24)/(-10)). Solve -k*s + 3 - 8 = 0 for s.
-1
Let b(o) = -4*o + 4. Let d be b(3). Let p = d + 20. Solve -3 = 3*w - p for w.
3
Let r = 0 + 2. Suppose -5*n + 0*k = -r*k + 24, -2*k + 12 = -2*n. Let x = n - -4. Solve x*g = g for g.
0
Let w(y) = -21*y + 1. Let f be 0 - (-2 + -12 - -1). Suppose -5 = -2*n - 2*d - f, d + 1 = 2*n. Let s be w(n). Solve 3*z + 7 - s = 0 for z.
5
Suppose -5*h = -2*h - 12, 2*f + 6 = 3*h. Solve f*t + 11 - 2 = 0 for t.
-3
Suppose -2 + 14 = 4*z. Let h = z - 0. Solve 4*n - 5 = h*n for n.
5
Let m = 20 - 11. Suppose -5*l + 0*o - 3*o + m = 0, -4*o = 5*l - 7. Solve 0*n - l*n = 6 for n.
-2
Suppose 2*x - 6 - 2 = 0. Solve x*l = 2*l for l.
0
Let x = 6 + -4. Suppose x = 4*s - 6. Solve s*i + 4 = -2*i for i.
-1
Let l be -2*6/(-4)*1. Suppose 5*q - 110 = l*z, -z - 3*z = -20. Solve 4*k - 9 = -q for k.
-4
Suppose -5*v = 4 - 44. Let g = v + -2. Solve 0*x - g = 3*x for x.
-2
Let b be (1/2)/(1/14). Let n = b + -5. Solve -g - n = 1 for g.
-3
Let o = -25 + 37. Solve -2*x + 6*x = -o for x.
-3
Let f be 1*(-9)/6*-2. Suppose 0 = -o - 4*o + 10. Solve o*i + f*i = 5 for i.
1
Let i = 0 + -14. Let y be 4/i + 308/49. Solve s = y*s - 5 for s.
1
Suppose t - 3 = -0*t. Suppose o - t*o + 6 = 0. Suppose -2*b = 0, -5*u = b - 4*b - 125. Solve -u = 2*m + o*m for m.
-5
Suppose -2*w = w - 15. Suppose -w*q = c, 2*c - q + 7 - 18 = 0. Solve -c*p = -p - 4 for p.
1
Let g be (-1)/(-3) - (-102)/(-9). Let h(l) = -l**3 - 12*l**2 - 13*l - 5. Let m be h(g). Let n = m + -12. Solve 2*b + n = -3 for b.
-4
Let u = 42 + -33. Let c(k) = k**3 + 2*k - k - 9*k**2 - 3 - 2. Let s be c(u). Solve -2*j = -14 + s for j.
5
Let n be 0 - 0/(-3) - 2. Let r be -1 - (-1 - n - 3). Solve -r = y - 3 for y.
2
Let w = -2 + 4. Solve 3 = 5*z - w*z for z.
1
Let g be 1 - -2 - (1 - 2). Let v be (0/g)/(2 - 4). Solve v = -5*z + z - 8 for z.
-2
Suppose -3*o = l + 9, 5*l + 2 + 3 = 5*o. Let w = 12 + l. Solve 0 = -d - 2*d - w for d.
-3
Let s be (6/(-18))/(2/(-6)). Let w(r) = 0 + s - 3*r**2 + 2*r**2. Let c be w(1). Solve 0*u + 3*u - 6 = c for u.
2
Suppose -2*i + 4*i = 0. Let s(y) be the first derivative of -y**2/2 + 5*y + 1. Let g be s(i). Solve r - 2*r = -g for r.
5
Let j(m) be the first derivative of m**4/24 - 7*m**3/6 + m**2 - 1. Let a(s) be the second derivative of j(s). Let i be a(8). Solve i + 1 = q for q.
2
Let l be 0/(0 + 1)*1. Suppose 4*q + d + 2 = l, -2*q = -5*d - 14 + 4. Solve q = -2*b - 3*b for b.
0
Suppose 3*j - d = -22, -5*d = 5*j + 41 + 29. Suppose 2 = -2*c + 8. Let s be (c/j)/((-2)/18). Solve -2*h + s*h = -2 for h.
-2
Let l be 1/(2*2/4). Let f = l - -1. Solve -f*i - 3 = -3*i for i.
3
Let q be (13/3)/(-13) - 2/(-6). Solve q*f - f = 0 for f.
0
Let r be -2 + (-2 + -1 - -8). Let c(g) = -g**3 + 4*g**2 - 2*g - 3. Let h be c(r). Solve h = -4*i + i + 3 for i.
1
Suppose -5*w + 0*z - 2*z + 64 = 0, 5*z + 38 = 4*w. Solve 2*q = -2*q - w for q.
-3
Let s(g) be the second derivative of g**5/20 - g**3/6 + g**2 + 2*g. Let w be s(2). Solve -p - p = w for p.
-4
Let u be (0 - 0) + 0 + 1. Let z = 3 + -1. Let r be (3 - -5) + -2*z. Solve -r*f - u - 3 = 0 for f.
-1
Suppose 0 = 11*u - 6*u - 35. Let r(a) = a**3 - 6*a**2 - 7*a. Let g be r(u). Solve -o - o + 8 = g for o.
4
Let h = -18 + 22. Suppose 0 = -4*v + 5*c + 7, 1


 lowest common multiple of q and 8.
8
Suppose -5*o + r - 33 = -o, 0 = 5*o - 3*r + 36. Let z = -4 - o. Suppose -41 + 253 = 5*j + 2*s, z*s + 196 = 4*j. Find the common denominator of 103/10 and j.
10
Let t(z) = -32*z**3 - 2*z - 1. Let y = -48 + 54. Calculate the lowest common multiple of t(-1) and y.
66
Let n = 795 + -631. Calculate the smallest common multiple of n and 44.
1804
Suppose -v + 5*g + 1 = 0, v + 27*g = 24*g + 9. Let l be -2*1/2*-5. Suppose a - 231 = -2*a + 3*d, l*d + 309 = 4*a. What is the least common multiple of v and a?
228
Suppose 3*z + 20 = 2*v + z, 0 = 2*v + 2*z - 28. Let q = v - 7. Suppose 5*c + q*f - 105 = 0, -f - 3*f - 78 = -5*c. What is the least common multiple of 4 and c?
36
Let l(u) = 45*u + 44. Let t be l(-4). Let a = t - -156. Calculate the lowest common multiple of a and 52.
260
Calculate the smallest common multiple of (-2)/5 + 468/45 and 0 - 4/18 - 74/(-9).
40
Let p(k) = -9*k**2 - 3*k + 10. Let f be p(-6). Find the common denominator of 97/4 and ((-1)/(-12))/(6/f).
36
Find the common denominator of -14/15 and ((-2109)/(-18))/(-19) + 5.
30
Suppose 3*z + 3*q = -z + 63, q = 5*z - 55. Let u(g) = -g - 1. Let s be u(1). Let n = z + s. Calculate the smallest common multiple of 10 and n.
10
Let j(w) = w**2 - 49*w + 174. What is the lowest common multiple of 12 and j(46)?
36
Suppose 14*x - 2563 = -2*c + 11*x, 0 = 4*x + 4. Calculate the smallest common multiple of 7 and c.
8981
Suppose -k = x - 15, -49 = -0*x - 3*x - 2*k. Let b(f) = f - 8. Let a be b(4). What is the lowest common multiple of x and 2*(2/a - -3)?
95
Suppose -254 = -q + 5*i + 7, -4*q = 2*i - 978. Calculate the smallest common multiple of 20 and q.
2460
Let y = -1295378747/366 - -3539290. Let z = 5/183 + y. Find the common denominator of 12/18 - (30/9 + 5) and z.
6
Suppose -9*f + 4319 - 2663 = 0. Calculate the lowest common multiple of 207 and f.
1656
Suppose 0 = 13*q - 11*q - 190. Find the common denominator of (19/q)/((-4)/235) and -107/70.
140
Let i = 0 - 0. Suppose i*l - 112 = 2*l. Calculate the common denominator of l/63*19/(-2) and 139/6.
18
Suppose 4*s = 2*a + 14, a = 1 - 2. Suppose 7 + 14 = s*p. Suppose 0 = -2*y + 4*y - 4. Calculate the lowest common multiple of y and p.
14
Suppose 2*f - 6*f + 12 = 0. Suppose f*i - 68 = -4*b, b - 5*b - i + 76 = 0. Calculate the smallest common multiple of 4 and b.
20
Suppose -7*q + 28 = -14. Suppose q*v = 2*v + 80. Calculate the least common multiple of 2 and v.
20
Suppose 0 = -4*i + i - 5*j + 130, -4*j = i - 41. Find the common denominator of -37/3 and 3/i*16*4.
15
Let j(s) = -2*s - 1. Let y be j(-3). Suppose 0 = y*v - 10 + 30. Calculate the least common multiple of (v - -2)/((-2)/11) and 2.
22
Let y = -1 + 4. Suppose -q + y = 1. Suppose q*c = -6, -1 = 4*t - 4*c - 21. What is the lowest common multiple of 18 and t?
18
Suppose -5*o - 2 = -3*u - 4, 0 = -2*u - 3*o - 33. Let g = 27 + u. Calculate the smallest common multiple of 15 and g.
90
Let l = 26 + -14. Suppose -164 = -2*v - q, -7*q - 72 = -v - 5*q. Let r = v + -70. What is the smallest common multiple of l and r?
60
Calculate the common denominator of 17/10 and (-5350)/1384 - (0 + -4).
3460
Suppose f + 6 = g - 6*g, 0 = 4*f + 3*g - 27. Let b(l) = l**2 - 5*l + 6. Calculate the smallest common multiple of b(9) and f.
126
Let i = -11 + 24. Let b(w) = -w**2 + 13*w + 9. Calculate the lowest common multiple of 3 and b(i).
9
Find the common denominator of -23/21 and (3/18)/((-24)/16).
63
Find the common denominator of -105/44 and (13 - 9) + 0 + (-151)/16.
176
Let o be -3*5/15*3. Let d(l) = -5*l - 7. What is the smallest common multiple of d(o) and 22?
88
Let f be (-6)/18*(10 + -1). Let m be 6/(-18) - 397/f. Calculate the common denominator of -41/12 and (-605)/m*(-2)/(-5).
12
Let x = -2406075309 - -34459810517141/14322. Let a = 19/651 + x. Calculate the common denominator of a and -19/14.
154
Suppose -40*x + 238 = -23*x. What is the smallest common multiple of x and 62?
434
Let j(r) = r**3 + 27*r**2 - 60*r - 8. What is the lowest common multiple of j(-29) and 115?
1150
Let d = -430/3 + 4784/33. Let f = 1330 + -6619/5. Calculate the common denominator of d and f.
55
Suppose -1176 = 3*o - 1203. Calculate the least common multiple of o and 21.
63
What is the common denominator of 119/60 and (2/(-7))/(9552/2478 - 4)?
60
Suppose -5*y = 5*d + 88485, -2*y + d = -4*d + 35366. Let c = -38709141 - -774536771/20. Let n = c + y. Calculate the common denominator of -9/22 and n.
220
Let v = -2/3865 - 65673/61840. Find the common denominator of v and 21/132*(10 + 0).
176
Let y = -520 + 1030. What is the lowest common multiple of y and 27?
4590
Let u = 1030 + -41117/40. Find the common denominator of u and 79/24.
120
Calculate the common denominator of 33/13 and (9/(-4))/(12 + 765/(-108)).
767
Let n = -12992 + 156269/12. Let h = n + -919/36. Calculate the common denominator of -63/2 and h.
18
Suppose 5*a = -i + 10263, 3*i = 5*a - a - 8199. Let f = 2/14985 + -744259/29970. What is the common denominator of f and (-2)/(-7) + a/315?
30
Find the common denominator of -97/676 and (8177/78)/(-17)*(-6)/(-22).
7436
Suppose -3*i = -4*r - 173, -2*i + 45 = -r - 67. Calculate the lowest common multiple of 7 and i.
385
Let n = -1361/115 - 8109/1610. Let k = n - -48/35. What is the common denominator of k and 40/11?
22
Let z(h) = -2*h**3 - 7*h**2 + 11*h + 108. What is the least common multiple of z(-5) and 144?
1152
Suppose -13 = -5*d + 7. Suppose 5*w = -r + d + 23, 23 = 5*r - 3*w. Suppose -6*j + 12 = -2*j. Calculate the least common multiple of r and j.
21
Suppose z = -2*z - 4*m - 52, 4*m = -16. Let s = -48 - -33. What is the smallest common multiple of z/s*75/10 and 18?
18
Let g = -2/432551 - -4303882468/3892959. Let z = -1104 + g. What is the common denominator of -3/19 and z?
171
Let n = 1/603 + 1003/1206. Calculate the common denominator of n and -8/11.
66
Let v(f) = -f**3 + 2*f**2 + 9. Let p(u) = -3*u - 1. Let z(r) = r + 3. Let q be z(-7). Calculate the least common multiple of v(0) and p(q).
99
What is the common denominator of 67/306 and (-2 + (-1080)/(-544))/(7/(-82))?
2142
Let a(d) = -d**3 - 3*d**2 + 5*d - 5. Let f(q) = -q**2 - 9*q - 2. Calculate the smallest common multiple of f(-7) and a(-5).
60
Suppose -33*u - 10 = -28*u. Calculate the common denominator of -77/4 and 4/(-18) + ((-134)/(-360) - u).
20
Let r = 42 + -2. Let g = 181/6 - 71/2. Calculate the common denominator of g and 0 - ((-228)/r + 4).
30
Let z = 658 + -2609/4. Find the common denominator of -5/36 and z.
36
Suppose -5*f = -6*f - 4*n - 2193, 2*n - 10 = 0. Let h be (-2)/6 - (-8882)/4. Let z = h + f. Find the common denominator of z and -97/8.
24
Suppose -5*a - 4*d = -0*d - 56, -2*a + 25 = -d. Let f = 40 - 22. Let u = f - a. What is the least common multiple of u and 2?
6
Let i = 1141 - 1133. Calculate the least common multiple of 39 and i.
312
Let y = 17016/1535 - -9/614. Let f = -163/5 + y. What is the common denominator of f and 29/22?
22
Let m = -40/7 + 664/77. What is the common denominator of -7/316 and m?
3476
Let z = 38 - 18. Suppose -54*u + 58*u - 72 = 0. Calculate the least common multiple of u and z.
180
Suppose 1898 = j + 3*i, -3*j + 5694 = -3*i + 2*i. Let s = j - 7663/4. Find the common denominator of s and 69/14.
28
Let n(l) = 2*l**2 + 9*l + 13. Let x(k) = k**2 + 9*k + 14. Let h(m) = -2*n(m) + 3*x(m). Calculate the lowest common multiple of h(8) and 10.
120
Let c(v) = -18*v**3 - 6*v + 6. Let n be c(1). What is the common denominator of (n/135)/(1/48) and 73/35?
35
Let h = 14 - 11. Let u be -2 - (-3)/(h/4). Suppose u*t + 3 - 15 = -2*b, 0 = 2*t + 4*b - 18. What is the smallest common multiple of t and 10?
30
Let a(x) = -9*x - 11. Let b be a(-4). Let o = 6 - 23. Let q = b + o. Calculate the lowest common multiple of q and 1.
8
Suppose k - 16 = -3*k. Suppose k*c + 38 = -10. Find the common denominator of -83/8 and (-3)/(-9) - 86/c.
8
Let r(s) be the first derivative of s**3/3 + 2*s**2 + 8*s + 3. Calculate the smallest common multiple of r(-6) and 5.
20
Suppose 3*r - 40 = -4*o, r + 1 + 4 = -5*o. Suppose 4*b + 8 = 168. Suppose 0 = -15*f + 11*f + b. Calculate the least common multiple of f and r.
20
Suppose 2*d + 0*d - 32 = 0. Suppose 2*b + b + 40 = -2*f, 0 = -5*b + 3*f - 92. What is the smallest common multiple of d an


 + (-2*m + 2*m + 2*m)*(-4 - 2 + 4).
37*m - 2
Expand (-2*u**5 + 50*u**4 - 26*u**4 - 28*u**4)*(-4 - 1 + 4).
2*u**5 + 4*u**4
Expand (4 - 2*s**2 - 2*s - 4)*(0*s + 3*s + 2*s) - 3*s**3 + 0*s**3 + 2*s**3.
-11*s**3 - 10*s**2
Expand (-2*r + r + 3*r + 2*r**2)*(52 + 2*r + 3*r - 53).
10*r**3 + 8*r**2 - 2*r
Expand (-1 - 3 + 2)*(0 + k + 0)*(2 - 2 - 3)*(k**3 - 2*k**2 + 2*k**2).
6*k**4
Expand (-3 + 0 + 4)*(u + 0 + 0) + (0 + 0 + u)*(-5 + 20 - 3).
13*u
Expand (-2 + 2 + 2)*(-2*x + 2*x - 2*x**2)*(-3 + 1 + 4) + (-3*x - 2*x**2 + 3*x)*(-4 + 2 + 4) - x**2 - 4*x**2 + 4*x**2 + 3*x**2 - 2*x**2 - 2*x**2.
-14*x**2
Expand (-4*k**2 + k**2 + 2*k**2)*(-5*k**2 + 60*k - 60*k).
5*k**4
Expand (0 + 0 - 2)*(15*z - 29*z - 6*z)*(0*z**3 - 2*z**3 + 0*z**3).
-80*z**4
Expand 2*h**3 - 2*h**3 - h**5 + (1 + 2 - 1)*(h**3 - 2*h**5 - h**3) - h**5 + 4*h**3 - 4*h**3 - 2*h**2 - h**5 + 2*h**2 - 3*h**4 - 2*h**5 + h + 3*h**4.
-9*h**5 + h
Expand -5*p**3 - 2*p**4 + 5*p**3 - p**4 - p**2 + p**2 + (-2*p**4 + 3*p**4 - 2*p**4)*(-1 + 0 + 2) + 5*p**4 - 4*p**4 + 0*p**4.
-3*p**4
Expand (2*x + 1 - 4*x + 0)*(1 - 17 - 3).
38*x - 19
Expand -3 + 6*o + 3 + (0 + 4 - 2)*(o - 4 + 4) + 2*o + 2 - 2.
10*o
Expand (-r + r - 2*r)*(414*r + 59*r**2 - 414*r).
-118*r**3
Expand (0 + 0 - a**2)*(-1 + 1 + 2*a) + (3 - 2*a - 3)*(-2*a**2 - 2*a**2 + a**2 + (-a**2 + 0 + 0)*(4 - 2 - 1)).
6*a**3
Expand 0*x**5 + x**5 + x**5 + 6*x**5 - 3*x**5 + 2*x**5 + (-x + x - x)*(-2*x**4 + 5*x**4 - x**4) - x - 4*x**5 + x.
x**5
Expand 24*z - 6*z**2 - 24*z + (5*z**2 - z**2 - z**2)*(-3 + 1 + 1).
-9*z**2
Expand (-3*o**3 - 2*o**3 + 3*o**3)*(2 + 0 + 5).
-14*o**3
Expand -w**3 + w**3 + w**4 + (-1 + 1 + w**3)*(3*w + 6*w - 2*w).
8*w**4
Expand (4 + 2 - 4 + (-2 + 1 + 2)*(-2 + 4 - 3) + 6 + 1 - 21)*(-4*a + 2*a + a)*(-2 + 2 + a).
13*a**2
Expand (1 + 1 - 5)*(-u**3 + u**3 - u**5) + 76*u**3 - 76*u**3 + 4*u**5.
7*u**5
Expand (0*u - u + 0*u)*(-2 - 2 + 3) + 2*u + 0*u - u + 3.
2*u + 3
Expand -v**2 + 3*v**2 - v**2 + (5 + 6 - 2)*(-6 + 6 + 3*v**2).
28*v**2
Expand (0*l**3 + 0*l**3 - 2*l**4)*(0 + 2 - 1) + 4*l**4 + 3*l**2 - 6*l**4 + l**2.
-4*l**4 + 4*l**2
Expand (-4 + 0*v**5 + 2*v**5 + 9)*(1 + 0 + 1).
4*v**5 + 10
Expand (-2*v + 2*v + 3*v)*(1 - 1 + 2*v)*(-2*v + 3*v + 0*v)*(5 - 7 - 4).
-36*v**3
Expand 2 + 2*h - 2 + (4 + 4 + 2)*(-3 + 3 - h).
-8*h
Expand (-j + 1 + 0 + 1)*(-6*j**2 - 3*j**2 + 5*j**2).
4*j**3 - 8*j**2
Expand (-3 + 7 - 3)*(-8*o + 0*o + 2*o)*(-2 + 0 - 1).
18*o
Expand (0*k + 0*k - k**2)*(6*k - 2*k - 2*k) + 2*k**3 - 10*k**3 + 2*k**3 + 0*k**3 - 2*k**3 - k**3.
-11*k**3
Expand (w**3 + w**3 + 4*w**3 + (0*w + 3*w - 4*w)*(0*w + 2*w**2 + 0*w))*(3 + w**2 - 3).
4*w**5
Expand (2 + 1 - 4)*(m**2 - m**2 - m**2) + (0 - 6 - 1)*(-2 + 2 + 2*m**2) + 0*m**2 + 4*m**2 - m**2.
-10*m**2
Expand (0*n**2 - 5*n**2 + 4*n**2)*((1 - 1 - 3)*(-1 - 1 + 5) - 4 + 3 + 2).
8*n**2
Expand (u + 3*u - 3*u)*(2*u - 1 + 1 + (1 + 0 + 0)*(11 - 11 + u)).
3*u**2
Expand -5*o - 2*o**2 + 5*o + (-4*o + 2*o + 4*o)*(-o - 2*o + 5*o) + o**2 - o**2 + 2*o**2 - 2*o**2 + 3 - 3 - o**2 - 4 + 4.
o**2
Expand (7*p**3 - 4*p**3 + 2*p**3)*(-4*p**2 + 0*p**2 + 3*p**2) - 2*p**3 - 3*p**5 + 2*p**3.
-8*p**5
Expand 39 + 6*h**3 - 39 + (6*h**2 - 4*h**2 + 12*h**2)*(h + 0*h - 3*h).
-22*h**3
Expand (-4*m + 3*m + 3*m)*(0 + 1 - 3)*(5 - m - 5).
4*m**2
Expand (-2*f + f + 0*f)*(-3*f**4 - f**4 + 5*f**4) - 3*f**5 - 2*f**5 + 4*f**5 + (-3*f - f + 2*f)*(2*f**4 + 3*f - 3*f) + f**3 + f**5 - f**3.
-5*f**5
Expand (-2 + 2 + 2*x)*(-3*x**2 - x**2 + x**2) + 0*x**3 + x**3 + x**3.
-4*x**3
Expand -170*k**4 + 170*k**4 - 23*k**5 + (0*k + 3*k**3 + 0*k)*(-2*k**2 - 1 + 1).
-29*k**5
Expand (-15*x**2 - 14*x**2 + 11*x**2)*(-2*x + x - x)*(3*x**2 + 0*x**2 - 5*x**2).
-72*x**5
Expand (-i + 0*i - i)*(2*i + 0 + 0 + (-3 + 0 + 4)*(-4*i + 2*i + i) + 2*i - 1 + 1 + 2*i + 2*i - 2*i + 2*i - 4*i + 8*i).
-22*i**2
Expand -5*p + 0*p + 3*p - 3*p + 4*p + p + (-2 + 1 + 2)*(p - 4*p + 5*p) + (-1 - 1 + 4)*(0 + p + 0) + 2*p + 0 + 0.
6*p
Expand 0*w**2 + 0*w**2 - w**2 + (-1 + 0 - 1)*(-3*w**2 + 2*w**2 - w**2) - 223*w + 18*w**2 + 223*w.
21*w**2
Expand (3*d**4 + 34*d**2 - 34*d**2)*(-1 + 4 - 4) + (-5*d**3 + 3*d**3 + d**3)*(3*d - 2*d + 0*d).
-4*d**4
Expand 0*d - 4*d + 2*d + (2 - 4 + 0)*(0*d - 5*d + 15*d) - 2*d - 2*d + 5*d.
-21*d
Expand 7 - 2 - 6 + 6*v**4 + v**4 + v**4 - 3*v**4 + (2 - 2*v - 2)*(-2 + 2 + v**3) + v**4 - v**4 - v**4.
2*v**4 - 1
Expand (2*d + 4*d - 4*d)*(-4*d + 2*d - 6*d) + (2 - 2 - 2*d)*(-3 + 3 + 2*d).
-20*d**2
Expand 2*r + 3*r + 4*r + (1 + 2*r - 1)*(1 - 2 - 1).
5*r
Expand 2*y**4 + 3*y**4 - 3*y**4 + (-5*y + 5*y + 2*y)*(y**2 - 3*y**2 + 0*y**2)*(29 - 29 + 4*y).
-14*y**4
Expand -5*b + 2 + 8*b - 6*b + 2*b + b - 2*b + (-2 + 2 - 2*b)*(2 + 2 - 5) + 0*b + 0*b - b.
-b + 2
Expand 4*k**4 - k**4 + 0*k**4 + (4 - 3 - 3)*(11*k**4 - 60*k**3 + 60*k**3).
-19*k**4
Expand (4*j**5 - 3*j**5 - 2*j**5)*(3 - 1 + 13).
-15*j**5
Expand (-2 + 5 - 1 - 4 + 6 + 4 + (-2 + 5 - 2)*(0 + 6 - 4) - 4 + 3 - 1 + 0 + 0 - 1 + 4 + 0 - 2)*(0 + 0*j**2 - j**2 + 2).
-9*j**2 + 18
Expand (-u + 4*u - u + (3 - 2 + 1)*(u - 2*u + 2*u))*(3 - 6 + 1).
-8*u
Expand 5*u**4 - 3*u**4 + 0*u**4 - 4*u**4 + 4*u**4 - 2*u**4 + (-5 + 3 + 3)*(-u**4 - 3*u**4 + 3*u**4) - 4*u**4 + u**4 - 3*u**4.
-7*u**4
Expand (v**2 + 0*v**2 + v**2)*(78*v**2 + 60*v**2 - 159*v**2 + 5*v).
-42*v**4 + 10*v**3
Expand -k**3 + 0*k**4 + 2*k**3 - 8*k**4 + (2 - 2 - 2*k**3)*(-3 + 3 + k).
-10*k**4 + k**3
Expand (4*o - 4*o + 2*o - 3*o + 2*o + 0*o + (-1 + 2*o + 1)*(-2 + 1 + 3))*(0*o**3 - 2*o**3 + 0*o**3 + (-1 + 1 + o)*(3*o**2 + 0*o**2 - 4*o**2)).
-15*o**4
Expand (3*a**2 + a**2 - 3*a**2)*(3*a**3 + 3*a**3 - 4*a**3) - 4*a**5 + 3*a**4 - 3*a**4 - 6*a**5 - 10*a**4 - 5*a**5 + 8*a**5.
-5*a**5 - 10*a**4
Expand (-5*r**2 + 2 - 2)*(2*r**3 + 3*r - 3*r) - r**5 - 2*r**5 - r**5.
-14*r**5
Expand (2 - 1 - 2 + (-3 + 3 + 1)*(-3 + 0 + 2) + 8 - 39 + 15)*(2*v + 0 + 0).
-36*v
Expand (-6*s - 3*s + s)*(6*s**2 - 2*s**2 + 0*s**2).
-32*s**3
Expand 6 - 5*t - 6 + (t + 2*t + 0*t)*(-5 + 6 + 1).
t
Expand (-2*k + 3*k + 2*k)*(-3 + 8 + 7)*(0*k**4 - 5*k**4 + 4*k**4).
-36*k**5
Expand (-1 + 2 - 2)*(-4*y**4 - 7*y**4 + 13*y**4).
-2*y**4
Expand (4 + 0 - 3)*(4*v - 4*v + v) + 2 - 2 - 2*v + (3*v + v - 2*v)*(1 - 2 - 2)*(-1 + 3 + 3).
-31*v
Expand (-3*i + 2*i**2 + 3*i)*(-1 + 0*i - i + 3*i) + 2*i**3 - 5*i**3 + 2*i**3.
3*i**3 - 2*i**2
Expand 0*b**5 + 0*b**5 + 2*b**5 + 17 - 17 - 7*b**5 + (-b**2 - b**2 + 3*b**2)*(-1 + 1 + 2*b**3).
-3*b**5
Expand (4 - 1 - 2)*(-3*g + 0*g + 4*g) + (1 + 2 - 5)*(26*g - 8*g - 4*g).
-27*g
Expand (-5 + 4 + 2)*(-2*z + 3*z + 2*z)*(1 - 1 + 1 + (-2 + 0 + 0)*(-2 + 7 - 3) + 1 + 2 - 4).
-12*z
Expand (3 + 2*t - 3)*(-229*t**3 - 134 + 228*t**3 + 43).
-2*t**4 - 182*t
Expand (4*r**3 - 12*r**3 - 11*r**3)*(4 - r**2 - 4) - 2*r**5 - 2*r**5 + 2*r**5 + (-1 + 0 + 0)*(2*r**5 - 3*r**5 + 2*r**5).
16*r**5
Expand -2 + 3*z**2 + 4 - 2*z**2 + (-z**2 + 4*z**2 - 2*z**2)*(0 + 0 + 2).
3*z**2 + 2
Expand (-3*v + v + 0*v)*((3 + 2 - 4)*(1 + 1 - 3) - 2 - 5 - 1).
18*v
Expand (2*k - 4*k - 3*k)*(0 - 2 + 0) + k + 2*k - 4*k.
9*k
Expand (-z + z - 2*z)*(3*z**2 + 45*z**2 + 13*z**2).
-122*z**3
Expand -k**4 + k**4 + k**4 + (-2*k**2 + 0 + 0)*(0*k**2 - 4*k**2 + 2*k**2) - 2 + 2*k**4 + 2 + 4*k**2 - 4*k**2 - k**4 + 3*k**4 - 25*k + 25*k.
9*k**4
Expand (-a + 2*a + 0*a + (5 - 2 - 1)*(a + 0*a + 0*a))*(0 + 0 - a)*(0 - 1 - 1).
6*a**2
Expand (-x**3 + 3*x - 3*x)*(-2 + 5 - 4) - 49 + 49 + 5*x**3.
6*x**3
Expand -3*u**2 - u**2 + u**2 + u**2 - 4*u**2 + 4*u**2 + (1 + 2*u - 1)*(2 - 2 - u) + u**2 - 2*u**2 - 6*u**2.
-11*u**2
Expand (-4*r**4 + 11*r - 11*r)*(5 - 2 - 4 + r) + (-2*r**3 + r**3 - r**3)*(-r**2 + 2*r**2 - 2*r**2).
-2*r**5 + 4*r**4
Expand (2 - 2 - i)*(-3*i**2 + 5*i**2 - 4*i**2) - 6*i**3 + 3*i**3 - 7*i**3.
-8*i**3
Expand (2 + 2*q - 2)*(2 + 0 - 1)*(3 - 5 - 5)*(-2 + 0 + 5).
-42*q
Expand (4 + 5 - 5)*((z**2 - 1 + 1)*(0 + 0 - z) - 2*z**3 + 3*z**3 + 3*z**3).
12*z**3
Expand (5 + 4 - 5)*(-3*r**3 - r**2 + 0*r**3 + 5*r**3)*(-2*r + 0*r + r).
-8*r**4 + 4*r**3
Expand (-2 + 2 - 2*l)*(-4 - 3 + 6)*(0*l**2 - 2*l**2 + 5*l**2).
6*l**3
Expand (4 + h - 4)*(5 + 2 - 2) + 3*h + 0*h + h.
9*h
Expand 2*b**3 - 3*b**3 - 2*b**5 + 2*b**3 + (-2*b + 3*b + 0*b)*(-6*b**4 - 2*b**4 + b**4).
-9*b**5 + b**3
Expand (-1 + 1 - t**3)*(-t - 2 + 2) + (3*t**3 - t**3 + 0*t**3)*(t + t - 4*t) + 2*t**4 - t**4 - 2*t**4.
-4*t**4
Expand (-3 + 1 + 5)*(0 + 0 - g + (-3 + 2 - 1)*(-5*g + 0*g + 3*g)) - g + 2*g + 0*g.
10*g
Expand (-o + o - 2*


 p'th term of -3, -225, -831, -2013, -3963, -6873?
-32*p**3 + 2*p + 27
What is the k'th term of -61, -59, -45, -13, 43?
k**3 - 5*k - 57
What is the b'th term of -227, -449, -671, -893, -1115, -1337?
-222*b - 5
What is the y'th term of -295, -590, -883, -1174?
y**2 - 298*y + 2
What is the d'th term of -81, -78, -75, -72, -69, -66?
3*d - 84
What is the z'th term of -232, -464, -696, -928, -1160, -1392?
-232*z
What is the y'th term of -27, -119, -273, -489, -767, -1107, -1509?
-31*y**2 + y + 3
What is the j'th term of 25, 49, 101, 193, 337, 545, 829, 1201?
2*j**3 + 2*j**2 + 4*j + 17
What is the y'th term of 386, 384, 382, 380, 378, 376?
-2*y + 388
What is the q'th term of 1, 14, 35, 64?
4*q**2 + q - 4
What is the q'th term of -41, -40, -39, -38, -37, -36?
q - 42
What is the r'th term of 866, 6889, 23242, 55091, 107602?
861*r**3 - r**2 - r + 7
What is the u'th term of -91, -391, -897, -1615, -2551, -3711?
-u**3 - 97*u**2 - 2*u + 9
What is the a'th term of 49, 33, 27, 37, 69?
a**3 - a**2 - 20*a + 69
What is the z'th term of 108, 145, 182, 219, 256, 293?
37*z + 71
What is the c'th term of -10, -45, -102, -181, -282?
-11*c**2 - 2*c + 3
What is the n'th term of -175, -176, -177, -178, -179?
-n - 174
What is the b'th term of 57, 70, 95, 138, 205?
b**3 + 6*b + 50
What is the q'th term of -561, -564, -569, -576, -585, -596?
-q**2 - 560
What is the z'th term of -25, -24, -15, 2, 27, 60, 101?
4*z**2 - 11*z - 18
What is the j'th term of -23, -29, -35, -41, -47, -53?
-6*j - 17
What is the r'th term of 66, 65, 68, 75, 86?
2*r**2 - 7*r + 71
What is the d'th term of -175, -333, -491, -649, -807?
-158*d - 17
What is the t'th term of -74, -144, -204, -248, -270, -264?
t**3 - t**2 - 74*t
What is the t'th term of -2, 6, 14, 22, 30?
8*t - 10
What is the s'th term of 6, -24, -102, -252, -498, -864, -1374?
-4*s**3 - 2*s + 12
What is the p'th term of 15, 54, 119, 210, 327, 470?
13*p**2 + 2
What is the l'th term of 592, 1183, 1774, 2365?
591*l + 1
What is the z'th term of 138, 257, 376, 495?
119*z + 19
What is the w'th term of -598, -1198, -1788, -2362, -2914?
w**3 - w**2 - 604*w + 6
What is the u'th term of 638, 564, 370, -4, -618, -1532?
-10*u**3 - 4*u + 652
What is the n'th term of 1797, 1808, 1827, 1854, 1889, 1932?
4*n**2 - n + 1794
What is the y'th term of -6, 69, 194, 369?
25*y**2 - 31
What is the w'th term of 22, 11, 0, -11?
-11*w + 33
What is the y'th term of 360, 717, 1074?
357*y + 3
What is the d'th term of -1940, -1946, -1954, -1964, -1976, -1990, -2006?
-d**2 - 3*d - 1936
What is the k'th term of 273, 1072, 2401, 4260, 6649, 9568, 13017?
265*k**2 + 4*k + 4
What is the l'th term of -6, -41, -92, -153, -218, -281, -336, -377?
l**3 - 14*l**2 + 7
What is the k'th term of -50, -107, -166, -227, -290, -355, -422?
-k**2 - 54*k + 5
What is the j'th term of 23, 20, 17?
-3*j + 26
What is the i'th term of -155, -297, -431, -563, -699, -845, -1007?
-i**3 + 10*i**2 - 165*i + 1
What is the l'th term of 13, 31, 61, 103, 157, 223?
6*l**2 + 7
What is the o'th term of -1, -7, -17, -31, -49, -71, -97?
-2*o**2 + 1
What is the i'th term of 9385, 9386, 9387, 9388?
i + 9384
What is the w'th term of -1611, -1612, -1613, -1614?
-w - 1610
What is the o'th term of 437, 888, 1339, 1790, 2241?
451*o - 14
What is the j'th term of -8, -78, -268, -638, -1248, -2158?
-10*j**3 + 2
What is the s'th term of 309, 308, 307, 306, 305, 304?
-s + 310
What is the c'th term of 14001, 14000, 13999?
-c + 14002
What is the k'th term of -46, -103, -198, -331, -502?
-19*k**2 - 27
What is the f'th term of -7392, -7390, -7388, -7386, -7384?
2*f - 7394
What is the r'th term of 86, 34, -52, -172, -326?
-17*r**2 - r + 104
What is the b'th term of -9, -28, -59, -108, -181, -284?
-b**3 - 12*b + 4
What is the a'th term of -2655, -2653, -2649, -2643, -2635, -2625, -2613?
a**2 - a - 2655
What is the g'th term of 7, 13, 23, 37, 55, 77, 103?
2*g**2 + 5
What is the a'th term of 1322, 1325, 1328?
3*a + 1319
What is the t'th term of -34, -4, 52, 140, 266, 436?
t**3 + 7*t**2 + 2*t - 44
What is the v'th term of 8421, 16840, 25259, 33678, 42097?
8419*v + 2
What is the c'th term of 807, 1615, 2423, 3231?
808*c - 1
What is the v'th term of -1279, -2560, -3841, -5122, -6403?
-1281*v + 2
What is the o'th term of -3249, -3250, -3251, -3252?
-o - 3248
What is the z'th term of -88, -109, -130, -151?
-21*z - 67
What is the o'th term of -3956, -3955, -3954, -3953, -3952, -3951?
o - 3957
What is the m'th term of -525, -1058, -1591, -2124, -2657?
-533*m + 8
What is the d'th term of 97, 121, 159, 217, 301, 417?
d**3 + d**2 + 14*d + 81
What is the d'th term of -69, -58, -33, 12, 83, 186, 327, 512?
d**3 + d**2 + d - 72
What is the i'th term of -205, -213, -233, -271, -333, -425?
-i**3 - i - 203
What is the x'th term of 92, 175, 250, 317, 376, 427, 470?
-4*x**2 + 95*x + 1
What is the i'th term of -50, -86, -122, -158, -194?
-36*i - 14
What is the t'th term of 18, 9, -4, -21, -42, -67?
-2*t**2 - 3*t + 23
What is the r'th term of 18, 9, -16, -63, -138, -247?
-r**3 - 2*r**2 + 4*r + 17
What is the z'th term of -4639, -4640, -4641, -4642, -4643, -4644?
-z - 4638
What is the x'th term of 20, 38, 64, 98, 140?
4*x**2 + 6*x + 10
What is the g'th term of -179, -168, -141, -92, -15, 96, 247?
g**3 + 2*g**2 - 2*g - 180
What is the n'th term of 34, 84, 136, 190, 246?
n**2 + 47*n - 14
What is the w'th term of 25, 58, 91, 124?
33*w - 8
What is the d'th term of 665, 660, 655, 650, 645?
-5*d + 670
What is the d'th term of 46, 88, 122, 142, 142?
-d**3 + 2*d**2 + 43*d + 2
What is the s'th term of -65, -97, -125, -155, -193, -245?
-s**3 + 8*s**2 - 49*s - 23
What is the v'th term of -140, -568, -1282, -2282, -3568, -5140?
-143*v**2 + v + 2
What is the d'th term of 322, 321, 320, 319?
-d + 323
What is the m'th term of 90, 157, 234, 327, 442, 585?
m**3 - m**2 + 63*m + 27
What is the t'th term of 10, -22, -86, -188, -334, -530, -782?
-t**3 - 10*t**2 + 5*t + 16
What is the x'th term of 40, 146, 340, 628, 1016, 1510, 2116?
x**3 + 38*x**2 - 15*x + 16
What is the y'th term of -1231, -1232, -1233, -1234, -1235?
-y - 1230
What is the x'th term of 72, 65, 56, 45, 32, 17, 0?
-x**2 - 4*x + 77
What is the t'th term of -13, -33, -53, -73?
-20*t + 7
What is the c'th term of 2794, 2792, 2790, 2788, 2786?
-2*c + 2796
What is the s'th term of -230, -238, -246, -254, -262, -270?
-8*s - 222
What is the v'th term of -1918, -1917, -1916, -1915?
v - 1919
What is the f'th term of -22, 14, 50, 86?
36*f - 58
What is the g'th term of -94, -63, -30, 5, 42, 81, 122?
g**2 + 28*g - 123
What is the k'th term of 153, 158, 163, 168?
5*k + 148
What is the x'th term of -1, 10, 43, 110, 223?
2*x**3 - x**2 - 2
What is the a'th term of 284, 565, 844, 1121, 1396, 1669, 1940?
-a**2 + 284*a + 1
What is the i'th term of -27, -18, -9, 0, 9, 18?
9*i - 36
What is the l'th term of 7, 67, 169, 313, 499, 727?
21*l**2 - 3*l - 11
What is the x'th term of 607, 490, 359, 208, 31, -178?
-x**3 - x**2 - 107*x + 716
What is the w'th term of -8, -42, -98, -176, -276, -398, -542?
-11*w**2 - w + 4
What is the v'th term of 259, 515, 771, 1027, 1283?
256*v + 3
What is the c'th term of -50, -55, -60, -65, -70, -75?
-5*c - 45
What is the j'th term of -1143, -2286, -3429, -4572, -5715, -6858?
-1143*j
What is the y'th term of -562, -568, -578, -592, -610?
-2*y**2 - 560
What is the r'th term of 7, 37, 89, 163, 259, 377, 517?
11*r**2 - 3*r - 1
What is the j'th term of 180, 150, 120?
-30*j + 210
What is the v'th term of -200, -212, -226, -236, -236, -220, -182, -116?
v**3 - 7*v**2 + 2*v - 196
What is the m'th term of -1877, -1881, -1885?
-4*m - 1873
What is the d'th term of 366, 734, 1102?
368*d - 2
What is the g'th term of -65, -86, -109, -134, -161?
-g**2 - 18*g - 46
What is the z'th term of -28, -250, -848, -2008, -3916, -6758?
-31*z**3 - 2*z**2 + z + 4
What is the f'th term of -11, -32, -83, -176, -323, -536, -827, -1208?
-2*f**3 - 3*f**2 + 2*f - 8
What is the c'th term of -91, -183, -275, -367, -459, -551?
-92*c + 1
What is the a'th term of 18, 13, 8?
-5*a + 23
What is the o'th term of -14, 2, 54, 160, 338, 606, 982, 1484?
3*o**3 - 5*o - 12
What is the a'th term of -416, -1680, -3788, -6740?
-422*a**2 + 2*a + 4
What is the z'th term of -2, -11, -22, -35, -50, -67?
-z**2 - 6*z + 5
What is the m'th term of 131, 111, 7


 the first derivative of -2587*b*d*f**3 + 4*b*d*f**2 - b*f - 19186*b*k - 16*b - 22*d*f**3 + 163*d*f*k - 3*f**3*k wrt k?
-19186*b + 163*d*f - 3*f**3
What is the derivative of 1150*a*b - 3709*a - 2*b + 13083164 wrt a?
1150*b - 3709
Find the third derivative of 6*m**4 - 3820525*m**3 + 32*m**2 - 1254062*m.
144*m - 22923150
Differentiate -43*w**3*x**2 - 18891*w**3 - 21*w**2 - 54627*w*x**3 + 2 with respect to x.
-86*w**3*x - 163881*w*x**2
What is the second derivative of 65566193*j*p**2*z + 470*j*p - 2*j + 146*p*z - 2*z wrt p?
131132386*j*z
What is the second derivative of 729323*h**4 - h**3 - 5*h**2 + 229706651*h wrt h?
8751876*h**2 - 6*h - 10
Find the third derivative of 2634*y**6 - 115090*y**5 - 437224284*y**2.
316080*y**3 - 6905400*y**2
What is the derivative of -112959544*c**3 - 219464619 wrt c?
-338878632*c**2
What is the third derivative of -121600118*b**3 - 1309*b**2 + 38535?
-729600708
Find the third derivative of -17279049*w**5 + 2*w**4*z + 17552*w**2 - 29*z wrt w.
-1036742940*w**2 + 48*w*z
Differentiate -115913*f**3 + 547*f + 637304626.
-347739*f**2 + 547
What is the third derivative of 363982589*a**3 + 22*a**2 - 1950247*a wrt a?
2183895534
Find the second derivative of 79074*l*v**2 + 7917*l*v - 11*l - 198*v**2 wrt v.
158148*l - 396
Find the third derivative of 36932819*z**6 - 26*z**2 - 278353*z wrt z.
4431938280*z**3
What is the second derivative of -902*p**3 - 147662*p**2 - 4445*p + 10759?
-5412*p - 295324
Differentiate -4491*m**4*o + 1797*m**2*o**2 + 21*o**2 - 101842 wrt m.
-17964*m**3*o + 3594*m*o**2
What is the derivative of 12*h**2 - 178155*h - 3545999?
24*h - 178155
Find the second derivative of 2*h**3 - 4655040*h**2 + 2*h - 12078245.
12*h - 9310080
What is the third derivative of 7*b**5 - 134*b**4 + 13511*b**3 - 11*b**2 - 4538*b + 10?
420*b**2 - 3216*b + 81066
What is the second derivative of 1829*o**3*w**2 + 2944*o**3*w - 9*o**2 + 2*o*w**2 + 2*o*w - 8725*o - 3*w**2 - 2 wrt o?
10974*o*w**2 + 17664*o*w - 18
Find the third derivative of 9206595*i**6 - i**2 + 2169054*i.
1104791400*i**3
What is the first derivative of -14*n**4 - 37891*n + 7121410?
-56*n**3 - 37891
Find the first derivative of -687200*v**2 + v + 1316350.
-1374400*v + 1
Find the first derivative of -2*g**4 - 306505*g + 118516470 wrt g.
-8*g**3 - 306505
What is the third derivative of -h**5 - 97*h**4 - 1300*h**3 - 2*h**2 + 33*h + 92592?
-60*h**2 - 2328*h - 7800
What is the derivative of -365835245*v**3 - 3*v**2 + 1234064141?
-1097505735*v**2 - 6*v
What is the second derivative of -33576685*v**4 - 2*v**3 - 2*v**2 + 157*v - 14593 wrt v?
-402920220*v**2 - 12*v - 4
What is the first derivative of -y**3 - 2138441*y + 4347?
-3*y**2 - 2138441
Find the second derivative of -103352*b**2*r - 74*b**2 - 2*b*r + 95688*b - 184*r + 3 wrt b.
-206704*r - 148
Find the second derivative of -1266193*d**5 + 38*d**4 + 1051*d - 31276.
-25323860*d**3 + 456*d**2
Find the second derivative of -270106104*w**3 - 56101*w + 1191.
-1620636624*w
What is the first derivative of 78047*a**2*x + 220*a**2 + 5*a - 479*x**3 + 5417 wrt x?
78047*a**2 - 1437*x**2
What is the second derivative of 4*n**5 - 2750*n**4 + 36*n**2*t + 4*n + 2685229*t wrt n?
80*n**3 - 33000*n**2 + 72*t
Find the second derivative of 67717213*j*o**5 + 6369365*j + 8*o wrt o.
1354344260*j*o**3
Find the third derivative of 62*k*v**3 + 2*k*v**2 + 362936*k*v + 2884898*v**3 + 13*v**2 - 2*v + 2 wrt v.
372*k + 17309388
What is the first derivative of 7*j**2*o + 3*j**2 - 3927*j*o - 3*j + 2566*o + 43 wrt j?
14*j*o + 6*j - 3927*o - 3
What is the third derivative of 171896*h**6 - 4051*h**2 + 83*h + 1?
20627520*h**3
What is the derivative of -6*f**4 + 7558773*f**2 + f - 140243086?
-24*f**3 + 15117546*f + 1
What is the third derivative of 549294146*n**3*x**3 - 15*n**3*x**2 + 8*n**3 - 3*n**2*x**2 - 2*n*x**2 - 76*x**2 - 16 wrt x?
3295764876*n**3
Find the third derivative of -7*b**4*c - 9*b**3*c - 32112*b**3 - 31*b**2*c + 2*b**2 + 2168*b + 8 wrt b.
-168*b*c - 54*c - 192672
What is the second derivative of 10423*i**3*n**2*o*s**2 - 177*i**3*n**2*o - 37*i**2*n**2 - 5*n**2*o*s - 28*n*o - 4719*o*s**2 wrt s?
20846*i**3*n**2*o - 9438*o
What is the second derivative of 20*f*r**4 + 239503*f*r**3 - 1963*f*r + 6*f + 67*r wrt r?
240*f*r**2 + 1437018*f*r
What is the second derivative of -32449*j**5 - 489*j**3*p + 15*j*p - j + 108*p + 67 wrt j?
-648980*j**3 - 2934*j*p
What is the second derivative of -18025133*r**3 - 2045599*r wrt r?
-108150798*r
Find the third derivative of -629*m**6 - 106273*m**5 + 3602613*m**2 + 4*m wrt m.
-75480*m**3 - 6376380*m**2
What is the derivative of -124669886*j + 459587717?
-124669886
Find the second derivative of -25322473*q**3 + q**2 + 14796*q - 94 wrt q.
-151934838*q + 2
What is the second derivative of 41*o*p**3 + o*p**2 - 138156*o*p + 3*p**3 + 744*p**2 - 1 wrt p?
246*o*p + 2*o + 18*p + 1488
Find the first derivative of 18087*d**2*w - 1902*d*w**2 + 2*d + 8333520*w**2 wrt d.
36174*d*w - 1902*w**2 + 2
What is the second derivative of 20252*o**4 - 337*o**2 + 7893368*o?
243024*o**2 - 674
Find the third derivative of -198646*o**6 - 3*o**4*p - 125*o**2*p + 3*o**2 - 453*p wrt o.
-23837520*o**3 - 72*o*p
Differentiate -51*f**3*i + 48*f**3 + 22*f**2 + 8475*f*i**2 - 4*f + 15 wrt i.
-51*f**3 + 16950*f*i
What is the second derivative of 2*p**4 + 192*p**3 + 503652*p**2 - 611287*p - 167?
24*p**2 + 1152*p + 1007304
Differentiate 89788048*h*w**3 + 3*w**3 + 1919*w**2 + 24*w + 62 with respect to h.
89788048*w**3
What is the first derivative of -41422453*i**3 - 2545773?
-124267359*i**2
What is the third derivative of -50*m**4 - 21792*m**3 + 2017137*m**2 + 2*m - 1?
-1200*m - 130752
Find the third derivative of -468*k**3*x**3 - 3*k**3*x**2 - 400*k**3 - 1234*k**2*x**3 + 1523*k**2*x**2 wrt k.
-2808*x**3 - 18*x**2 - 2400
Differentiate -420*b**3*c*u - 12*b**3*u + 2*b**2*u**2 - b**2*u + 64*b**2 + 676*b*u**2 - 3*b - 13158*c*u**2 wrt c.
-420*b**3*u - 13158*u**2
What is the second derivative of 25258368*f**2*g**2 + 12*f*g**2 + 38*f*g + 5*f - 90*g - 2 wrt f?
50516736*g**2
Differentiate -524790*l**2*x**3 + 221434035*l**2 - 81*x**3 with respect to x.
-1574370*l**2*x**2 - 243*x**2
Find the third derivative of 79995*b**5 - 20*b**3 + 174*b**2 - 3*b - 18113.
4799700*b**2 - 120
What is the second derivative of -729939633*j**2 + 303241253*j - 1?
-1459879266
Differentiate -t**2 + 30196788*t - 95781992 with respect to t.
-2*t + 30196788
Find the first derivative of 3*f**3 + 109600*f**2 - 25*f + 122088535 wrt f.
9*f**2 + 219200*f - 25
Find the third derivative of 12413283*y**3 + 2170474*y**2 wrt y.
74479698
Differentiate -5*l**4 + 9388215*l**2 + 50952962 with respect to l.
-20*l**3 + 18776430*l
What is the first derivative of 24228737*h**2*o**2 + 9364357*o**2 wrt h?
48457474*h*o**2
Differentiate -4809759*f**3 - 11804468 wrt f.
-14429277*f**2
What is the second derivative of 9957077*q**2 - 72*q - 99586?
19914154
Differentiate 26715783*l + 158304473 wrt l.
26715783
What is the third derivative of 41908765*p**4 - 2913*p**2 + 24*p + 120 wrt p?
1005810360*p
What is the second derivative of -623186*a**3 + 11722528*a wrt a?
-3739116*a
What is the second derivative of 16*g*o**2 - g*o + 3*g - 3308*o**2 + 2*o + 3523916 wrt o?
32*g - 6616
Find the third derivative of -3228635*u**5 - 2290*u**2 - 377*u.
-193718100*u**2
Find the first derivative of 88988*k**2*y**3 + 831*k**2*y**2 - 529*y**3 - 770529*y**2 + y wrt k.
177976*k*y**3 + 1662*k*y**2
What is the derivative of 16*k**2*t - 15590*k*t**2 - t**2 - 596060*t wrt k?
32*k*t - 15590*t**2
What is the second derivative of -1542*i**2*j*p**2*v - 21*i**2*j*p**2 + 362*i*j*p**2*v + 3068*i*j*p wrt i?
-3084*j*p**2*v - 42*j*p**2
What is the derivative of 11*b**2*x - 60*b**2 - 40423*b + 319702*x wrt x?
11*b**2 + 319702
Differentiate 36460358*g*w - 2*w - 78062 wrt g.
36460358*w
What is the first derivative of 568661978*m**4 + 11813396?
2274647912*m**3
Find the second derivative of -39456687*s**2 + 21329891*s.
-78913374
Differentiate -7974546*d**3*f - d**3 - 311598*d**2 - 5 wrt f.
-7974546*d**3
Differentiate 12205812*b**4 - 45539763.
48823248*b**3
What is the third derivative of 147*d**2*v**4 + 58*d**2*v**2 + 126132*d*v**5 + 4*v**2 + 2*v - 12224 wrt v?
3528*d**2*v + 7567920*d*v**2
Find the second derivative of 763120624*g**2 + 322547562*g wrt g.
152


)*v**(2/11)/(v*v**(-11)*v) assuming v is positive.
v**(213/22)
Simplify ((y/(y**(-2)/y*y))**(-1/35)/(y**(-2))**(-9))**(-2/5) assuming y is positive.
y**(1266/175)
Simplify ((b/(b*b**(-4/5)/b))/((b/(b/b**(-3)*b))/b*b))/((((b**16*b)/b)/b)/b)**(-30/11) assuming b is positive.
b**(2419/55)
Simplify (s**(-2/119))**21/((s*s**(-1/20))/s**(5/6)) assuming s is positive.
s**(-479/1020)
Simplify ((k*(k*k/(k/k**(1/3))*k)/k)**(-1/2)*((k/k**(-1)*k)/k)**(-17))**43 assuming k is positive.
k**(-9073/6)
Simplify (h/(h*h*h*h**(3/5)*h*h))/(h/(h*h**(-1/8)))*((h*h**(1/6)*h)/h)**38 assuming h is positive.
h**(4753/120)
Simplify (d**6)**20*(d**(1/7)*d)/d*d/d**8*d assuming d is positive.
d**(799/7)
Simplify ((l**(-1)/l)**(-28)*l/(((((l**(3/4)*l)/l)/l*l)/l)/l*l)*l*l**(5/4))**(1/17) assuming l is positive.
l**(7/2)
Simplify (u/((u*u/u**(-2/7))/u)*u/u**5)/(u/(u/(u**(-1)*u)))**(-44) assuming u is positive.
u**(-30/7)
Simplify (q/q**(1/19))/((q/(q*q/(((q**(-5/3)*q*q)/q)/q)))/q)*q**(3/4)*q**(-1/19) assuming q is positive.
q**(1211/228)
Simplify ((u**(2/13)/(u*u**(-3)*u*u*u))/(u*u*u*u/(u**(1/3)/u*u*u))**(13/3))**40 assuming u is positive.
u**(-58040/117)
Simplify (a**(-1/19))**(-2/11)/(a*a/a**(-2/5)*a**(-27)) assuming a is positive.
a**(25717/1045)
Simplify (p/(p/(p*p*p**11)))**(-24)*(p/(p*((p**(-1/4)/p)/p)/p*p))/(p*p**13/p) assuming p is positive.
p**(-1291/4)
Simplify (g*g**(-4/17))**(3/2)/(g*g**(-8))**(-8) assuming g is positive.
g**(-1865/34)
Simplify (((x*x/((x*x**6)/x))/(x*x/(x*x**(1/7)*x)*x))**(-14/11))**(-34) assuming x is positive.
x**(-2312/11)
Simplify (((c*c*c/(c*c**(3/11)*c)*c)/c)/(c/c**11))/((c/(c/c**(-20)))/(c*c**(1/27))) assuming c is positive.
c**(9434/297)
Simplify ((w/(w*w*w*w/w**(-10)*w))/(w**(2/21)*w))/(w/w**(-18)*(w*w/w**6*w)/w) assuming w is positive.
w**(-632/21)
Simplify (t**(-5/3)*t**(-2/105))**(-44) assuming t is positive.
t**(2596/35)
Simplify (l**(-12))**(15/7)/(l/(l*l**17*l))**23 assuming l is positive.
l**(2718/7)
Simplify ((q**(-5/2)*q)/q*q**(-1/8)*(q**(-2/3))**(-11/9))**(-12/7) assuming q is positive.
q**(391/126)
Simplify ((p*p/(p*p**(-39)*p*p))/(p**(-1/20)*p))**(-32) assuming p is positive.
p**(-5928/5)
Simplify j/(j/(j/(j**(2/23)*j)))*j**(-6)/j*j*j**4*j/j**7 assuming j is positive.
j**(-186/23)
Simplify (a**21)**(-3/13)*(a/((a*a**19*a)/a))/(a*a*a**(-7/8)*a*a*a) assuming a is positive.
a**(-2909/104)
Simplify (x**(2/23)*x**(3/20))/(x/(x/x**(-14)))**(-12) assuming x is positive.
x**(-77171/460)
Simplify (((l/(l**(-19/5)/l))/l**(-27))**(-48))**13 assuming l is positive.
l**(-102336/5)
Simplify ((i/(i*i*i/i**5)*i*i**(-3))**(-32))**(-10) assuming i is positive.
i**320
Simplify (((b**(-2/13)/b)/b)/b)**(-14/3)/(b*b/(b/(b*(b/(b**(-29)*b))/b*b)*b)*b/(b*b**(-2/11))*b) assuming b is positive.
b**(-7063/429)
Simplify (v*v**(-25)*v*v**(-30))**(3/5) assuming v is positive.
v**(-159/5)
Simplify (r**1/r)/r**(14/9)*(r**31*r)/(r*r**(3/4)) assuming r is positive.
r**(1033/36)
Simplify (m/(m/(m/m**(-15)*m)))/(m*m**(-12)*m)*(m*m**(-13))/m**(-6/13) assuming m is positive.
m**(201/13)
Simplify (f**20)**(2/91)/(f**(-22))**(-1/5) assuming f is positive.
f**(-1802/455)
Simplify (k**(-2/23)*k/k**(1/9)*(k/(k*k**(2/7))*k*k)/k**(-1/5))**(-42) assuming k is positive.
k**(-39358/345)
Simplify (p**(-1/3))**49/((p**(-4/7)/p)/p)**27 assuming p is positive.
p**(1115/21)
Simplify (j**(-2))**(-46)/((j**(9/7)*j)/(j*j*j*j**(-10)*j)) assuming j is positive.
j**(586/7)
Simplify (d*d*d**(-1/4))**(-16)/(((d/((d**(-3)/d)/d))/d*d)/d)**(-15) assuming d is positive.
d**47
Simplify ((m**(2/41)/m)/(m*(m*(m*m/((m**(14/9)*m)/m)*m)/m*m)/m))**31 assuming m is positive.
m**(-38843/369)
Simplify (p**20/p**(-21/4))/(p**(-6))**(-11) assuming p is positive.
p**(-163/4)
Simplify (((z*z**(-5))/z)/(((z**10/z)/z*z)/z)*z**11/(z*z/z**(-9)))**40 assuming z is positive.
z**(-520)
Simplify ((x**(-5)*x)/(x**(-1)/x))**(-2/29) assuming x is positive.
x**(4/29)
Simplify (((s/(s/s**(2/5)))/s*(s/(s*s**(1/4)))/s)/((s/s**(-1/2))/s**1))**(6/13) assuming s is positive.
s**(-141/130)
Simplify (r**(-1/3)*r*r**(1/2))/(r*(r*r**(2/5))/r*(r**14/r)/r*r) assuming r is positive.
r**(-397/30)
Simplify (v**26*v**(1/5))/(((v*v*v**29)/v)/v*v**(1/16)) assuming v is positive.
v**(-229/80)
Simplify ((v**(-2))**(-5)*(v*(v*v**(1/4))/v*v)**38)**4 assuming v is positive.
v**382
Simplify ((a**(-1/4)/(a**(1/9)*a))/(a**(-5)*a/a**(-3)))**(6/19) assuming a is positive.
a**(-13/114)
Simplify ((v/(v/(v**(1/11)*v))*v)**(1/16))**(-2/11) assuming v is positive.
v**(-23/968)
Simplify ((d**(2/33)*d**(-1/3))/(d**2)**33)**(-21/2) assuming d is positive.
d**(15309/22)
Simplify ((u**(-6/13)*u**(-1/3))/(u/(u*u*u**(-1/7)/u)*u*u**(-2)))**(-27) assuming u is positive.
u**(-153/91)
Simplify (g**5/g)/g*g*g/(g**(-19)/g*g)*g**(-6)/g*g*g/(g/g**17)*g assuming g is positive.
g**36
Simplify x*x**20*x**(-3)*(x*x**(1/17)*x)/x**(-9) assuming x is positive.
x**(494/17)
Simplify r**11/(((r*r*r/(r**8/r*r)*r)/r*r)/r)*r*r/((r/((r/(r**(-5/4)*r))/r))/r*r)*r/(r*r**(2/9)) assuming r is positive.
r**(613/36)
Simplify (z**(-3/2)/z**(-3)*z**(1/3)/z*z*z**(-2)/z)**(-17) assuming z is positive.
z**(119/6)
Simplify (j/(j**(-5)*j*j*j))**(-3/19)*(j**(-1)*j)**(-25) assuming j is positive.
j**(-9/19)
Simplify ((y**10/((y*y*y/y**3)/y))/(y**(2/3)*y*(y**8*y)/y*y))**(6/7) assuming y is positive.
y**(2/7)
Simplify (((d*d*d**(-4)*d)/d)/d)**(-17)/((d*d*d**(1/5)*d)/(d*d**(-6/5)*d)) assuming d is positive.
d**(243/5)
Simplify (((s/((((s*s*s**(-1/2))/s)/s)/s*s*s))/s)**(-8/7)*(s**2)**0)**38 assuming s is positive.
s**(152/7)
Simplify ((((n/(n*(n**27/n*n)/n))/n)/n)/n*n**(-12)*n)/(n**(1/3)/(n/(n*n**(-26)/n*n))) assuming n is positive.
n**(-43/3)
Simplify h**7*(h/(h*h**(1/31)))/h*(h**(-3/2))**(2/65) assuming h is positive.
h**(11932/2015)
Simplify ((a*a/(a*a*a**(-1/15))*a)/a**(-5/7))/(a/a**9*a*(a*a*a/((a*a**(1/2))/a*a*a*a))/a) assuming a is positive.
a**(2159/210)
Simplify (l**(-1/2)*l**(1/4))/((l**0*l)/l**(6/7)) assuming l is positive.
l**(-11/28)
Simplify y**(-1/2)*((y/((y/(y/y**(-5/6)))/y))/y)/y*(y/(((y/(y/(y**8*y)))/y)/y))**38 assuming y is positive.
y**(-683/3)
Simplify (h*h**(2/3)*h)**(8/5)/(((h/h**(-19))/h)/h**13) assuming h is positive.
h**(-26/15)
Simplify ((z/z**(-7/8))/(z/((z/(z*z**(2/9)))/z*z*z)*z*z))/(((z/z**(5/2))/z)/z**(-1/41)) assuming z is positive.
z**(6283/2952)
Simplify g**(3/4)/g**(-3)*g**(-16)/(g/g**(-25)) assuming g is positive.
g**(-153/4)
Simplify ((k/(k**(16/5)/k)*k)/(k/(k**(-22)*k)*k))/(k**(-2/75)/k**(-1/2)) assuming k is positive.
k**(-3551/150)
Simplify ((t**(-3/7)/((t*t*t/((t*t**1)/t))/t*t))/(t**1/t)**(-19))**(2/67) assuming t is positive.
t**(-34/469)
Simplify (((z**(2/13))**(-15/7))**(1/3))**(2/3) assuming z is positive.
z**(-20/273)
Simplify (((v/(v*v*v**(2/5)))/v)/(v*v**(-25)*v))/((v/v**22)/((v*v/(v*v/v**(-12/7))*v)/v)) assuming v is positive.
v**(1396/35)
Simplify ((l/(l/(l/((l**(-2)/l)/l))*l))/l)**4*l**0/(l**(2/43)*l) assuming l is positive.
l**(471/43)
Simplify (y**(-3/11)/(y**(6/11)/y*y))/(y**(3/11)*y*y/(y*y**7*y)) assuming y is positive.
y**(65/11)
Simplify a/(a*a/(a**28*a)*a)*a**(-1)*a/a**(-5/2)*(a*a*a**13)/a assuming a is positive.
a**(87/2)
Simplify ((l/(l*(l**(-2/5)/l)/l))**(1/7)*(l/l**(-2))**(-36))**(-2/15) assuming l is positive.
l**(2512/175)
Simplify (q**(-1/5)*q**15)/(q**(-5))**(3/5) assuming q is positive.
q**(89/5)
Simplify (g*g*g*g*g*g**7*g*g*g*g/g**7*g**(1/4)*g/g**(-1/3))**(-1/4) assuming g is positive.
g**(-127/48)
Simplify ((a*a**(-2/49)/a)/a*a*a*a*a)**19*a*a**15*a*a**(-1/10) assuming a is positive.
a**(35831/490)
Simplify (p**(1/12)/p**15)/(p*p**(-4)*p)**(4/9) assuming p is positive.
p**(-505/36)
Simplify (f/(f*f*f**(-2/19)*f*f*f)*f)/(f/f**(1/9))*(f**8*f)/f**1 assuming f is positive.
f**(721/171)
Simplify ((i/(i**(-7/2)*i))/i**(-9))/(i**(-2))**45 assuming i is positive.
i**(205/2)
Simplify (((b/(b*b**2))/b*b)/b*b/(b**(1/3)*b)*b)/((b/(b**(1/23)*b))/b**(-2/21)) assuming b is positive.
b**(-384/161)
Simplify x**(-17)*x**(-10/9)/x*((x/(x*x**(2/7)*x))/x*x)**(4/9) assuming x is positive.
x**(-1240/63)
Simplify (((x*x**(10/7)*x)/(x**9*x*x))/(x/x**0)**(1/13))**14 assuming x is positive.
x**(-1392/13)
Simplify (o/o**3)**(2/43)*((o/(o*o**(1/18)))/o)/(o*o**(-11)/o) assuming o is positive.
o**(7625/774)
Simplify (r**21/r**(2/7))/(r/(((r*r**(-4/11))/r)/


ber?
False
Suppose -6*r - 1191416 = -18*r + 4*c, -5*r + 4*c + 496407 = 0. Is r prime?
False
Let k be (-4)/(-3 + -1)*(43 + 0). Let q = k - 49. Is ((-3)/9 + 5770/q)/(-2) composite?
True
Let l be (0 - (-2 + 10*2)) + -2. Let y = 417 - l. Let v = y + 194. Is v composite?
False
Suppose 2*x + 2*m - 14 = 0, 4*x - 1 + 8 = 3*m. Let l be 12/(-8)*4/(-3)*x. Suppose c - 629 = 4*r, -4*c - l*r = -7*c + 1911. Is c composite?
False
Suppose w = -2*i + 36199, 9*w = 5*w - 4*i + 144784. Is w a composite number?
True
Let z = -755 + -1918. Let h = -1054 - z. Is h prime?
True
Let p = 676173 + -70864. Is p composite?
False
Let j(l) = 8*l**2 + 3*l - 8. Let s be j(-4). Suppose 162 = -3*r - 2*k - 0*k, -5*k + s = -2*r. Let m = 11 - r. Is m a composite number?
True
Suppose -93*l + 90*l = 3*u - 20136, 3*l - u - 20124 = 0. Is l a composite number?
False
Suppose -s - 60713 = -4*b, 0 = 27*b - 24*b + 2*s - 45543. Suppose -5*v = i - 130495, -4*v + 5*i = -89217 - b. Is v a composite number?
False
Is ((-21)/42)/((-3)/(-2)*(-3)/3540231) prime?
False
Let t = -316 - -324. Is (-5)/(-20)*29999 + (-6)/t a prime number?
True
Let h = -221 - -217. Let w(z) = 1559*z**2 + 4*z + 5. Is w(h) prime?
False
Is 8/1008*14*5780844/4 composite?
False
Let h(k) = -k**2 - 29*k + 17. Let v be h(-29). Let g(f) = 832*f - 45. Is g(v) composite?
True
Suppose -5*o - 4*a = -a - 12563, -2*a - 5038 = -2*o. Let b be 18330/4*(-8)/(-10). Let l = b - o. Is l a composite number?
False
Suppose 2*p = 5*u + 11, 3*u = -3*p + 8 - 2. Is (p + 0)*(-2 - (-33218)/6) prime?
True
Suppose -20*t + 40111 = -30289. Suppose 5*f - 2185 = t. Is f a prime number?
False
Suppose 0 = 4*v - 15 + 3. Let h(b) = -b**3 + 4*b**2 + 35*b + 114. Let o be h(-4). Is o - (v + -3 - 1) composite?
False
Let o = -2317 - -4358. Is o a prime number?
False
Is 3 + -4 - (-3 + 11)*(0 - 19066) a prime number?
False
Suppose -66 = 45*p + 114. Is -2 - p*((-8 - -3) + 32) prime?
False
Let a = 41450 + -22791. Is a composite?
True
Suppose -126*z + 90959205 = 31544283. Is z a prime number?
False
Suppose -f - 58432 + 245811 = 0. Is f a prime number?
True
Let v be (-2)/7 + (-29282)/(-77). Suppose 5*o - 535 = -5*m, 6*m - 3*m - 3 = 0. Let i = v - o. Is i a composite number?
True
Suppose -4*f + 23 = 3*c, -f - 5*c - 7 = -0. Let m = -9 + f. Let u(y) = -978*y + 5. Is u(m) a composite number?
False
Let w(z) = 12*z**2 + 4*z + 23. Let n be w(-9). Let q = n - 150. Is q a prime number?
True
Let l(s) = 4*s**3 - 10*s**2 + 6*s + 42. Let n be l(11). Let q = n + -728. Is q a composite number?
True
Let k be -105*(45/25 - 2). Suppose -383 - 58 = -k*m. Is m composite?
True
Let n(z) = 2*z**3 + 100*z**2 + 2*z + 103. Let l be n(-50). Suppose -2*g - 40233 = -4*y - l*g, -2*g + 20124 = 2*y. Is y composite?
True
Suppose -4*g + 24 = -4*x, 0 = 22*g - 23*g + 5*x + 22. Suppose 0 = -5*r - 5*s + 74810, 6*s = 5*r + g*s - 74783. Is r a composite number?
True
Suppose -4*u = 3*o - 344982 - 974452, -3*o = 5*u - 1649297. Is u prime?
True
Let p(a) = -192*a**3 - 2*a**2 - 2*a - 1. Let y(l) = 385*l**3 + 4*l**2 + 4*l. Let x(j) = 5*p(j) + 2*y(j). Is x(-2) a prime number?
True
Let d(a) = 109*a + 5. Let c be d(8). Suppose -4*q - 210 + c = w, 2*q + 4*w - 344 = 0. Is q prime?
False
Suppose -5*s - 8 = -8. Suppose s = -26*o + 29*o + 18. Is 2/o + (-9944)/(-6) composite?
False
Let s(y) = -y**2 + y - 4. Let n be s(0). Let g(q) = 11*q**3 + 3*q**2 + 8*q + 10. Let l(j) = -j**2 - j - 1. Let o(z) = -g(z) - 5*l(z). Is o(n) a prime number?
True
Let v(u) be the second derivative of 136*u**5 - u**3/2 + u**2 - 6*u - 3. Is v(1) a composite number?
False
Let x(c) = -12*c**2 + c - 1. Let k be x(2). Let g = k + 210. Is g a composite number?
False
Suppose s - 55 = -3*d, -137 = -4*s - d + 28. Is 2631*(s/15)/8 prime?
True
Suppose -26*w = 43300 - 147014. Is w a composite number?
False
Suppose 118*k + 6220 = 120*k. Let b = -1861 + k. Is b composite?
False
Let y = 57 + -53. Suppose 0 = y*t + 4*n - 28, n + 3 = 2*t - 11. Suppose -3*f - 8860 = -t*f. Is f composite?
True
Let o(r) = 163*r - 9. Let s be o(-7). Let k = 4237 + -2026. Let b = k + s. Is b prime?
True
Suppose 3*q + 23 = 5*y + 60, 0 = -3*q - 5*y - 13. Suppose -q*z + 19866 = -s, -3*z + 5*s = -2813 - 12078. Is z prime?
True
Let z be 114/(-9) - (-12)/18. Is (-5)/15 - 16336/z prime?
True
Let d be (-20)/(-150)*80 - (-4)/(-6). Is 3*8639 + d + (-182)/13 composite?
False
Let u be -7 + (-4)/(4/(-2)). Is (9/45 - 56189/u) + 5 composite?
False
Suppose 5*g + 36312 = 4*w, 0 = 3*w - 3*g - g - 27234. Suppose 2*c + 11315 = 5*m - 2*c, 4*m - w = -2*c. Is m prime?
True
Let x be (-12)/((-1 - 1)/1). Let g be -4 + (x - 7)*(2 + -1). Let n(i) = i**3 + 9*i**2 - 2*i - 7. Is n(g) prime?
True
Let g = -21003 - -138034. Is g a composite number?
True
Is (-15)/(-55) + (-2913528)/(-33) a composite number?
False
Let o = 10456 - 2774. Let b = -5359 + o. Is b a prime number?
False
Let p(w) = 1214*w + 331. Is p(24) a composite number?
True
Suppose 2*t + 9 = 5*t. Suppose 2*g = -3*l + 1 + 5, -2 = -t*g - l. Suppose g = -0*s - 2*s + 2330. Is s a composite number?
True
Suppose l - 4*o = -l + 316, -2*l = 2*o - 298. Let q = l - 82. Is (-20)/q + 3649/7 prime?
True
Is 467466/42 - -7*(-54)/(-441) a prime number?
True
Let r = -76635 - -117328. Is r a prime number?
True
Let g = 2081036 - 1125277. Is g a composite number?
True
Let c be (-17)/(-34) + (-422458)/(-4). Suppose -3*q + 105587 = 4*k, -3*q - 4*k = -7*k - c. Is q composite?
False
Suppose 56855 = -10*p - 51625. Let g = p + 16751. Is g prime?
True
Let t(a) = -7542*a + 3075. Is t(-21) a composite number?
True
Let y(c) = 18*c**2 + 6*c**2 + 1 + 26*c + c**3 + 6. Let j(t) = -364*t - 5844. Let g be j(-16). Is y(g) a composite number?
False
Let g(p) = -132*p + 10. Suppose -9*u + 1 = 172. Is g(u) prime?
False
Is 2441*(-5)/(-4)*472/10 a composite number?
True
Let h(z) = 11796*z + 1111. Is h(5) prime?
True
Let y be ((-34)/8)/(9/(-12 - 24)). Is (-1)/(y/250274*(-2 + 0)) prime?
False
Let o(l) be the first derivative of -206*l**4 + l**3 + 17*l**2/2 + 29*l + 9. Is o(-2) composite?
False
Suppose 5*p - 4 = 5*i + 16, -3*p - 5*i = -12. Suppose -p*n + 748 = -196. Let j = n + 78. Is j a prime number?
False
Let p(a) = 7*a**3 - 20*a**2 + 11*a - 289. Is p(15) prime?
True
Suppose 0 = 4*r + u - 185819, r + r + 4*u - 92878 = 0. Is r a composite number?
False
Is ((-893549)/(-2))/((420/(-8))/21 + 3) a prime number?
True
Suppose 5*a + 0*s - 50269 = s, -a = 5*s - 10033. Let o be (-40)/30*(-30)/4. Suppose p + a = o*p. Is p composite?
False
Suppose -4*g - 40*j + 41*j = -233781, 28 = 4*j. Is g a prime number?
False
Suppose -13204 - 2405 = -u + 2*c, 4*u + c - 62499 = 0. Is u composite?
True
Let k = 13 - 10. Let j be 32/5 + 42/70 - k. Suppose j*h - 658 = -5*f, 2*h + f - 50 = 282. Is h prime?
True
Suppose -78*x - 188028 = -79*x - u, 0 = -2*x - u + 376055. Is x a prime number?
False
Let x(l) be the first derivative of 321*l**2/2 + 7*l - 33. Let i = 7 + -3. Is x(i) a prime number?
True
Suppose -474618 + 506679 = -22*w + 2421943. Is w composite?
False
Let i(l) = -289*l + 32. Let n be 2*(3 + 15/(-10)). Let p be (-4)/(-7) + n/(-42)*78. Is i(p) a prime number?
False
Is -2 - -66139 - ((-240)/(-15) - 24) a prime number?
False
Let z(a) = 8*a - 6*a - 7 - 3. Let y be z(8). Suppose 235 = y*q - q. Is q a prime number?
True
Suppose 71*d - 61*d = 89390. Is d prime?
False
Suppose -21*z - 44 = -17*z. Let t(m) = -m**2 - 10*m + 20. Let x be t(z). Suppose 0 = p - x*p + 2168. Is p a composite number?
False
Let c = -13482 - -19117. Let i = c + -3582. Is i a composite number?
False
Let v(u) be the first derivative of -u**4/4 + 10*u**3 + 21*u**2 + 20*u + 14. Let q be v(-20). Suppose q = 5*i - 4725. Is i prime?
False
Let o(s) = 67*s**3 - 3*s**2 + 2*s - 1. Let m be o(2). Let x be 2692 + 0 - (1 + 0/8). Suppose -m = 4*p - x. Is p a prime number?
True
Let j = -21384 - -47101. Is j prime?
True
Let n be (-1)/(-3) - 46/(-6). Let x(d) = 254*d - 2134. Let q be x(26). Suppose 0 = -n*i + 2*i + q. Is i composite?
True
Suppose 24*k - 2250099 = -45*k + 2530842. Is k a composite number?
True
Suppose 2*w - 122905 = 13595. Suppose 18*k = w + 49344. Is k a prime number?
False
Let i(q) = -10*q**3 - 5*q**2 + 3*q - 5. Let o(p) = 9*p**3 + 5*p**2 - 3*p + 5. Let d(s) = -6*i(s) - 7*o(s). Let x be d(-5). Is x/4 + (-2)/4 a prime number?
False
Let h be ((-7)/1 - -6)*6