/(6/4)
-1/3
What is ((-3)/2)/(16/(-48))*(-2)/39?
-3/13
What is the value of (-68)/(-6)*((-20)/(840/63))/1?
-17
27/135*20/(-6)*6/(-2)
2
330/(-1254)*19*1/(170/(-12))
6/17
Evaluate (1*60/(-98))/((-6)/(336/8)).
30/7
What is the value of ((-1394)/1394)/(2/78)?
-39
Evaluate -4*((-6)/32*1)/(3705/(-260)).
-1/19
Evaluate (2448/170)/(-8)*((-50)/(-24))/(-5).
3/4
What is (-4)/(96/(-21))*62/(-31)?
-7/4
Evaluate (15/1)/(57/19).
5
Evaluate ((-20)/50)/(-2*4/(-140)).
-7
9/(-6)*(-8)/28*(-728)/(-39)
8
Evaluate (-125)/250*88/4.
-11
Calculate (-2216)/(-1385)*(-1)/2.
-4/5
Calculate (152/1216)/((-27)/(-12)).
1/18
What is ((-15)/(810/(-72)))/(8/6)?
1
(40/120)/(((-15)/(-99))/5)
11
Evaluate ((-475)/(-114))/(-25)*1*15.
-5/2
Calculate (-102)/42*(-42)/6069.
2/119
((-32)/(-144))/((-14)/6)
-2/21
What is -3*(-3)/27*432/480?
3/10
Calculate 8/(48/(-450))*21/(-105).
15
(-11)/((-66)/12)*86/(-301)
-4/7
Evaluate ((-1)/(-4)*16)/(120/(-8)).
-4/15
Evaluate 1298/(-4543)*7*-1.
2
What is (((-16643)/(-88))/89)/((-2)/(-16))?
17
What is the value of (82/123)/((-140)/15)?
-1/14
What is 9825/(-1572)*(-16)/(-10)?
-10
What is 286/(-44)*(-150)/65?
15
What is the value of ((-3)/48)/(4/16)?
-1/4
(5/(-3)*(-3)/(-15))/(1100/(-990))
3/10
What is the value of ((-12)/(168/(-70)))/((-1)/(-2))?
10
Evaluate (-28)/(-42)*(-840)/(-28).
20
Calculate (-1113)/6360*5/(-7).
1/8
Evaluate 65*((-434)/14)/(-155).
13
What is (7/(-294)*3)/(6/(-7))?
1/12
Calculate 44/132*(-2)/1*(-81)/(-6).
-9
What is the value of (12/(-10))/(1908/4770)?
-3
Evaluate ((-14)/(-7))/((-16)/(-104)).
13
(185/111)/(1/3*5/15)
15
What is (26/13)/(-2*2)?
-1/2
What is (18/(-4))/(3/(-5)*380/304)?
6
(3/4)/(21*(-43)/688)
-4/7
(36/120*-8)/(12/(20/(-5)))
4/5
What is the value of 2/(-4)*4*(-21)/336*-168?
-21
Calculate (-918)/102*(-8)/54*6/(-28).
-2/7
Evaluate (-16)/64*-8*(-1)/2.
-1
What is the value of 3/(-3)*3*(-80)/(-4320)*-90?
5
Calculate (4/75*9)/((-36)/(-60)).
4/5
What is the value of (-56)/(-18)*(-3)/(-4)?
7/3
Calculate (27/72)/(19/((-380)/90)).
-1/12
Calculate (9/(-12))/(((-120)/(-140))/(16/91)).
-2/13
Calculate (3/(-4))/(-10*(-8)/(-64)).
3/5
Evaluate (39/52)/(147/28).
1/7
Calculate 10*-1*((-4)/2)/(1680/504).
6
Calculate ((-1)/((-34)/(-24)))/((-14730)/(-7365)).
-6/17
What is (1/((-3)/8))/(2064/344)?
-4/9
Calculate (-20)/(-585)*288/64.
2/13
(228/(-266))/((-15)/28)
8/5
What is (-1776)/(-2368)*8/3?
2
Calculate 0*9*(-17)/612.
0
(5/(-20))/(986/272)
-2/29
Calculate (-1143)/(-6985)*(-35)/(-21).
3/11
(67/(7839/(-104)))/(6/(-9))
4/3
Evaluate ((-30)/(-2565))/((-51)/(-1938)).
4/9
What is (35/(-5))/(-91)*(-3)/(6/4)?
-2/13
Evaluate 200/(-8)*39*(-24)/(-780).
-30
What is the value of (37/(1295/(-30)))/((-33)/(-21))?
-6/11
0/(-186)*(12/(-9))/4
0
What is the value of 1640/902*(-22)/(-4)?
10
-232*(-10)/1680*21
29
((4/6)/2)/(-23*(-44)/(-18216))
-6
What is 44*(-3)/((-96)/(-8))?
-11
What is the value of ((-78)/(-130))/(((-78)/80)/(-13))?
8
(247/90155)/((-1)/(-10))
2/73
What is the value of (5/80*-4)/((-5)/(-24))?
-6/5
(-6)/(-15)*-7*((-120)/70)/6
4/5
What is ((-6)/(-9))/(225/27)?
2/25
What is the value of -4*(-5)/((-80)/(-6))*(-68)/6?
-17
What is 36/(-60)*35/3*12/714?
-2/17
What is the value of (612/16)/(-17)*-4?
9
What is (-5)/(-45)*3*9*56/(-42)?
-4
What is (-3)/34*(-32)/624*-26?
-2/17
What is the value of (-416)/(-520)*(-2)/20?
-2/25
What is (6/(-5))/((-14)/(-5))?
-3/7
What is (3/8)/(511/28616)?
21
What is the value of 84/28*(-50)/(-15)?
10
Calculate 274/411*(-27)/24.
-3/4
Calculate -3*((-3230)/51)/19.
10
-1*((-15)/(675/(-60)))/(6/(-3))
2/3
What is the value of (-1)/4*(2/91)/(13/182)?
-1/13
((-49)/(3087/1050))/((-4)/(-6))
-25
What is 104/30*(-22440)/2992?
-26
Evaluate 9*(-7)/(-378)*(-180)/(-690).
1/23
Calculate (-10)/(-4)*40/650.
2/13
Evaluate -14*9/144*8*1.
-7
Calculate (180/(-216))/(5*(9/(-4))/(-9)).
-2/3
What is (11/154)/(-1*3/24)?
-4/7
What is (-1)/(-52)*960/480?
1/26
Evaluate ((-29)/(-261))/(5/(-30)).
-2/3
Calculate 6/36*10/(-10).
-1/6
((-2)/9)/((1628/66)/(-74))
2/3
((-135)/20*(-38)/57)/(-12)
-3/8
What is the value of (-66)/(-77)*28/12?
2
Calculate ((-24)/(-748))/((-204)/1122).
-3/17
What is (55/44)/((-30)/36)*50/15?
-5
Evaluate (120/(-9))/4*(-93)/155.
2
(-6480)/(-144)*(2/(-3))/(15/9)
-18
What is the value of 9/6*(-90)/(-270)?
1/2
Evaluate (1/(-11))/(43/(-516)).
12/11
Evaluate ((-228)/(-304))/(-6*4/8).
-1/4
Evaluate (-45)/(1170/(-104))*-1*4.
-16
What is the value of (-254)/(-1397)*(-22)/8?
-1/2
What is (-57)/(-95)*1*4/12?
1/5
What is the value of (104/12)/26*-12?
-4
Calculate ((-25)/(-10))/(-5)*((-160)/20)/(-4).
-1
528/(-2112)*((-2)/5)/(8/(-5))
-1/16
Calculate 200/(-560)*(-28)/40.
1/4
What is the value of (-152)/((-132)/(-33))*(-2)/4?
19
(-4)/(-2)*(-4025)/(-11270)
5/7
What is ((-24)/(-8))/(-6)*42/3?
-7
1/(-1)*54/(-15)*970/(-873)
-4
What is the value of 9*(-6)/(-54)*1*-1?
-1
Calculate 155/(-93)*7/(35/(-12)).
4
(2/(-7))/(5/196*94/(-235))
28
(20/(-44))/(((-48)/(-84))/((-176)/56))
5/2
Evaluate ((-42)/(-280))/((-27)/(-12)).
1/15
What is (483/(-161))/(27/(-12))?
4/3
Evaluate (-2)/(416/1144*1/2).
-11
Calculate (144/104)/((-222)/(-1924)).
12
Calculate ((-1)/((-12)/78))/((207/(-36))/(-23)).
26
(16/42*(-3626)/(-2072))/(4/(-198))
-33
Calculate ((-9)/(-36))/(((-105)/24)/(-7)).
2/5
0/(-554)*(-1)/4
0
What is the value of 306/(-136)*(-6)/(-18)?
-3/4
Evaluate ((-7)/14)/(23/(-138)).
3
What is the value of ((-4)/10)/((-842)/44205)?
21
What is the value of (-1)/12*240/27*138/460?
-2/9
Calculate 7092/2955*20/(-6).
-8
What is ((-3180)/424)/((-5)/(-8))?
-12
What is the value of 5110/(-2920)*(-16)/378?
2/27
Calculate ((-91)/78)/(13/78).
-7
Evaluate (14/(-2))/(65/(-78)*3/(-5)).
-14
(-16)/8*(192/(-6))/(-4)
-16
Evaluate (-4*40/(-64)*2/5)/(-1).
-1
What is the value of ((-1)/(-5))/((-1086)/(-2715))?
1/2
Evaluate (-25)/(-5)*(-2511)/(-405).
31
Calculate 3*((-112)/(-12))/7.
4
What is the value of ((-224)/28)/((-12)/(-6))*1?
-4
0/((-37)/(851/(-69)))
0
(4/2)/(((-141)/24)/(-47))
16
((-8)/(-60)*12)/((-2)/15)
-12
What is ((-15)/14)/(-3)*5*100/(-625)?
-2/7
Calculate (-4)/(-7)*1785/(-2210).
-6/13
Evaluate (-1)/19*(-36)/(-24)*14/7.
-3/19
Evaluate 48/120*(6/9)/((-28)/10).
-2/21
3/2*40384/(-3786)
-16
What is (45/(-35))/(6/4)*21/(-6)?
3
What is the value of (-4)/36*6*(-16)/(-12)?
-8/9
What is the value of (52/(-156))/(91/84)?
-4/13
Calculate -75*(((-120)/16)/(-15))/(12/(-8)).
25
Evaluate ((207/(-54))/(-23))/(3/135*25).
3/10
What is (-36)/15*((-108)/12)/9*-5?
-12
Evaluate (32/6)/(-1)*15/10.
-8
Evaluate (-7)/336*-2*5/(5/2).
1/12
What is the value of (-2)/(-3)*(-71)/(2627/111)?
-2
What is the value of (-930)/372*1*6?
-15
-1*((-10656)/(-18))/37
-16
What is the value of (-15)/(-200)*35/(-7)?
-3/8
Evaluate ((-78)/(-195))/(-1*(-20)/(-25)).
-1/2
What is the value of 230/(-345)*195/(-25)*(-5)/(-2)?
13
Evaluate 176/33*(-12)/8.
-8
What is the value of (45/(-540))/((-1)/(-3))?
-1/4
What is (42/(-840))/(30/(-18)*(-27)/120)?
-2/15
240/180*234/24
13
What is 3*40/(-6)*(-177)/4425?
4/5
Evaluate ((-1)/2)/(201/335*10/(-12)).
1
Evaluate (2/((-68)/(-17)))/(-2)*4/5.
-1/5
Evaluate (((-9)/(-12))/3)/(((-495)/48)/(-15)).
4/11
Calculate (4/220*11)/((36/16)/3).
4/15
Calculate (175/(-120))/(10/(-8)*-1).
-7/6
What is the value of (-7)/((-294)/12)*(35/59)/5?
2/59
Calculate (-26)/(-1)*(-12)/40*80/(-96).
13/2
What is the value of 36/135*-5*(-3)/(-36)?
-1/9
((-12)/(-2))/((-4173)/(-428)*6/26)
8/3
6741/(-1605)*10/(-2)
21
Calculate (26/(-78)*3)/(1*3/66).
-22
What is the value of 12/(180/(-25))*(-10)/15?
10/9
Calculate ((-22)/(-22))/(18/21*(-3)/(-18)).
7
Evaluate (5/(-2))/(135/(-162)).
3
Evaluate 8/(-42)*78/(-104)*1.
1/7
What is the value of -30*10/100*-5?
15
Evaluate (-2)/4*(-80)/380*-19.
-2
4/(-1)*((-7140)/(-1800))/119
-2/15
Calculate ((-20)/(-340)*0)/(-1*1).
0
((-140)/(-350))/(((-1)/(-10))/((-1)/54))
-2/27
Calculate (546/(-364))/((-9)/2).
1/3
28/56*-4*((-25)/(-10))/(-1)
5
1/(-1)*(44/(-22))/((-1)/1)
-2
Calculate (-2)/((2/(-228))/((-6)/(-24))*3).
19
Calculate (36/(-90))/(((-264)/(-45))/4).
-3/11
What is (162/(-648))/(2/40)?
-5
Evaluate (-12)/16*(7056/810)/(-49).
2/15
Evaluate -5*((-1)/7)/(125/2275).
13
What is the value of ((-7)/4*43/301)/((-21)/12)?
1/7
What is the value of (-1)/(29/(-87)*(-3)/1)?
-1
What is the value of ((-50)/6)/(-1)*3798/6330?
5
What is (-294)/7*(-2)/(-7)?
-12
What is 41/((-5535)/(-108))*(-5)/(-6)?
2/3
(10/(-12))/


Suppose i - 3*o = -i + 21, -5*i - o = -10. Let g be (-63)/60 - -1 - i/12. Let y = g + 433/1510. Are y and -1 equal?
False
Let x = 664 - 388. Let j = 307 - x. Is 2 greater than j?
False
Let t(g) = 10*g - 93. Let v(a) = 5*a - 47. Suppose -16 - 39 = -11*x. Let o(n) = x*v(n) - 3*t(n). Let m be o(9). Is m greater than or equal to -2/7?
False
Let d = 82/1827 - 852626/19159749. Which is bigger: -1 or d?
d
Let b = -41 + -6. Let d be (b/(-4)*2*4)/(-2). Let k = d + 48. Which is smaller: 2/221 or k?
2/221
Let n(m) = -8*m**2 + 2*m - 2. Let k be n(3). Suppose -19*c + 23 = 5*d - 20*c, 4*c - 23 = -3*d. Suppose -27 = d*a + 308. Is a equal to k?
False
Let o(s) = 127*s**2 - 62*s + 62. Let r be o(1). Is 108 < r?
True
Suppose 4*o + 5*v - v - 20 = 0, o - 2*v = -1. Suppose -k - 6 = -o*k. Suppose -51 = -k*u - 0*u. Are u and 16 nonequal?
True
Suppose -4*n + 82*k = 78*k - 23592, -30 = -5*k. Are n and 5905 non-equal?
True
Let m be (-27827)/126 - (-22 - 3684/(-168)). Which is bigger: -220 or m?
-220
Let u be 7/((-315)/(-51102)) - 11 - 9. Which is bigger: u or 1115?
u
Let i = 21/68 + -3287/11084. Suppose 0*g = 5*g + 135. Let k be (-21)/g + (-4)/(-18). Is i greater than k?
False
Let p(j) = -7*j + 208. Let v be p(29). Suppose 4*n - 3*z = 42, 8 = -v*n - 4*z + 76. Let x be -108*(4/2)/(-20). Which is smaller: x or n?
x
Let t = 176 + -174. Let x be (4 - t)/(-4*(-1)/(-152)). Which is greater: -77 or x?
x
Let v = 0.36 - 22.86. Let w = v - -23.5. Let z = -0.1 - -0.07. Is w at least z?
True
Let p be 9*(-16)/(-144)*1. Which is bigger: 42/97 or p?
p
Let x = 0.47 - -2.53. Let z = -22 - -15. Let o = z + x. Do -1/3 and o have the same value?
False
Let h = -327 - -764. Let q = 436.9 - h. Let m = -1025/286 - -46/13. Which is bigger: q or m?
m
Suppose 0 = 68*a - 61*a. Suppose -2*v + 375 = -5*c, -5*v + 130 = -3*c - 76. Let i = c - -45. Which is smaller: a or i?
i
Let x be 1*(14 - 15)/(2 + -1). Let m be 805/1015 - (2 - 0)/2. Which is smaller: x or m?
x
Suppose -3*y + 8525 - 8579 = 0. Let r be ((-55)/2)/((-27)/(-18)). Are y and r equal?
False
Let d = 3425/102 - 568/17. Are d and 35 non-equal?
True
Let d be (40/282)/((-2)/6*(-392)/(-588)). Is -2 less than or equal to d?
True
Suppose 5*l - 2*d + 790 = 3*d, -3*d + 637 = -4*l. Let r = l + 164. Which is greater: -1/135 or r?
r
Let s be ((-112)/(-10) + -1)/((-6)/(-90)). Suppose 3*x = 3*h + s, -5*h - 51 - 54 = -2*x. Let w = 0.024 - 0.024. Which is greater: x or w?
x
Let r(j) = 14*j + 2. Let b be r(-2). Let h = -9 + 13. Suppose -2*q + 71 = -3*f, -q - h*q + 110 = -5*f. Do f and b have the same value?
False
Let y = 343 - 146. Let s = y + -197. Is s bigger than -13/9?
True
Let x = 110/7291 - -41777791/459333. Let f = x + -91. Suppose -4*w + 12 = 0, 2*p - 2*w + 1 = -3. Is p greater than f?
True
Let a be (-3)/(1*3/(-7)). Let z(y) = -y + 7. Let t be z(a). Suppose -6*q + 2*q + 56 = t. Is -0.2 at least q?
False
Let m(h) = -13*h - 50. Let q(g) = 9*g + 33. Let t(i) = -5*m(i) - 7*q(i). Let z be t(-16). Let s(a) = 2*a + 27. Let n be s(z). Which is greater: n or -6/13?
n
Suppose 0 = 2*v - c + 1032, v + 2*c - 4*c = -522. Let y = v + 513. Which is bigger: -16/15 or y?
y
Suppose 218 = -8*d + 74. Let o be (24/d)/(22/(-18)). Is 2 less than o?
False
Let i = 9377.9 - 9378. Which is greater: i or 34.93?
34.93
Let u = -0.3766 + 2492.3766. Is -0.1 bigger than u?
False
Let z = 2205 - 2203.783. Let l = z + -0.217. Which is smaller: 173 or l?
l
Suppose 7*d + 0*d - 329 = 0. Suppose 139 + d = 6*p. Suppose 4*l + 51 + p = -2*z, 0 = z + 4*l + 49. Does -32 = z?
False
Let z = 1132 + -7872/7. Let d = -796 + 800. Suppose f - 4*r - d = 0, 13 - 32 = -2*f - 3*r. Which is smaller: f or z?
z
Let p be 4167/(-1701)*6 + 1. Let l = -64/7 - p. Does 5 = l?
False
Let m be (-426)/84 + (-3)/2. Let r be 2 + 5/3*-6. Is m at least as big as r?
True
Let h = 8313 + -5468. Which is bigger: 2846 or h?
2846
Let z be 2*(-1)/(-36)*62/12989. Which is greater: z or 1?
1
Let n be 34/(-15) + 436/1635. Do -29/28 and n have the same value?
False
Let q = -201.7 - -204.7. Let i = -0.2 + -1.8. Is q not equal to i?
True
Let m(d) = 8*d**3 - 3*d**2 - 27*d - 14. Let n be m(-6). Is n smaller than 0?
True
Suppose 0 = g + 2. Let a be ((-1)/g)/1*-2. Let t = 15/11612 - -33861/754780. Is a greater than t?
False
Let f = -2561 + 2703.1. Let a = f + -142. Which is bigger: 34 or a?
34
Let b = 18539 - 22123. Are -3583 and b equal?
False
Let t be 2090 - 24 - -2 - -1*2. Is 2073 less than t?
False
Let d(r) = -r**3 + 7*r**2 + 4*r + 8. Let l be d(6). Suppose -20 = -11*y + l. Is 41 bigger than y?
True
Let k = -361 - -368.84. Let q = k - -2.46. Let m = q - 0.3. Which is bigger: 2 or m?
m
Let z(g) = -315*g - 388. Let n be z(-61). Is n at most 18827?
True
Let q(j) = 2*j + 1493. Let t be q(-70). Is t greater than 1352?
True
Let l be (-1 + 48/30)/((-27)/(-45)). Which is bigger: l or -1/1308?
l
Let a = -2346 + 2345. Does a = 1918?
False
Let g = -272 + 627. Let y = g + -335.1. Is y != -2/3?
True
Suppose k - a = -1 - 31, 0 = 5*k - 4*a + 160. Let n be (-10)/4*k/(-120). Let d = -10.94 + 0.94. Are n and d unequal?
True
Let x(k) = -k**2 + k**2 + 120 - 85*k + 39*k + 34*k - 2*k**2. Let u be x(-18). Is -313 equal to u?
False
Let d = -70 + 78. Suppose -3*a - 8 + d = 0. Suppose -7*k + 8*k + 4 = a. Is -34/9 greater than k?
True
Let o(t) = 22*t**3 - 6*t**2 + 2*t - 1. Let p be o(2). Suppose 133 = -2*x + p. Which is greater: x or 112/9?
112/9
Let c be 0/(-2*(2 + 0)). Let n = -6035/182 + 199/6. Is c < n?
True
Suppose -21*s + 15360 = 13*s - 2*s. Does s = 0.02?
False
Let o be -19 - (-1041958)/54522 - 1/9. Is o at most as big as -0.2?
False
Let k(x) = x**3 - 3*x**2 - 2*x - 1. Let a be k(5). Suppose -3*c = -i + 34, -3*i + 3*c + 120 = 6. Is a < i?
True
Let w(f) = f**3 + 16*f**2 - 36*f + 26. Let k be w(-18). Suppose -k*a - 3*r = -31*a, -2*a = -2*r. Which is smaller: 2 or a?
a
Suppose 2473*l - 1148 = 2475*l - 4*y, 4*l = -3*y - 2230. Is -571 at most l?
True
Suppose 0 = -5*k - 28*v + 32*v + 20, 0 = -2*k - 2*v + 8. Let w be 252/(-2916)*k/(-14). Is 1 > w?
True
Let b be 10*1/(-4) - ((-27555)/6)/(-11). Which is smaller: b or -424?
-424
Let p(v) = -v**3 + 90*v**2 + 175*v + 615. Let s be p(92). Is s at most -213?
True
Let w(l) = -9*l**2 + l + 3. Let x be w(3). Let j(k) = -k**3 - 12*k**2 - 42*k - 208. Let s be j(-9). Which is greater: s or x?
s
Let h be ((-22)/(-10) + 9/(-45))/19. Let z = 0 + 3. Suppose z*j + 5 = 8. Is h at most as big as j?
True
Let n = -4821 - -4832. Suppose -d + 2*d + v + 19 = 0, -82 = 4*d - 2*v. Let r be (-214)/d - 4/20. Which is smaller: r or n?
r
Let r be (-2)/(-3) + 13/3. Let f be (-16)/(-4)*(r - 4). Which is smaller: f or -8?
-8
Let l = -6 - -26. Let v(z) = -13 - 48*z + l*z + 26*z. Let u be v(-7). Is 1 less than u?
False
Suppose 69*g + 10*g = -169*g - 2107256. Which is greater: -8496 or g?
-8496
Let i = -0.159739 + 7.826639. Let m = i + 0.0331. Which is bigger: m or -0.2?
m
Suppose x + 2 = -x. Let b be (((-125)/52)/25)/(12/(-42)*-7). Which is bigger: b or x?
b
Let p = 234 + -228. Suppose -5*y - 220 = 5*b, p*b = 7*b - 2*y + 44. Is b > -46?
True
Let t be 7/((-56)/(-20))*48/44. Let a be -2*(-6)/4 + 1. Which is greater: a or t?
a
Let x = -52 + 61. Let b = x + -4. Suppose b*y + 13 = -22. Is y < -4?
True
Let r = 2 - 3. Let o = 509 - 756. Let l = -247 - o. Which is smaller: r or l?
r
Let r(w) = -507*w**2 + 12*w - 25. Let n be r(6). Let f be 12/16 - (n/2260)/(-11). Which is bigger: f or 1?
1
Let f(x) = -2*x**2 + 59*x + 57. Let w be f(-1). Which is greater: -47/11 or w?
w
Let d be ((-17)/153)/(287/49). Is 1 at most d?
False
Let o be 7 + (-2)/((-476)/(-225841)). Let r = -942 - o. Which is bigger: 0.1 or r?
0.1
Let x = 858 - 2003. Is x not equal to -1145?
False
Suppose -6*y = -4012 - 806. Suppose 13*o + 218 - y = 0. Let d be (-48)/o + 5*(-6)/(-75). Is 81 equal to d?
False
Let d = 45715 + -45694. Let k be (-8)/(-6)*(-2)/(-12). Is d less than or equal to k?
False
Suppose x - 5*o = -1877, -9*x - 4*o = -4*x + 9414. Which is smaller: -1883 or x?
-1883
Let k be ((-4)/(-10) + -1)*-5. Suppose -h = -k*z - 11, 3*z + 9 = 2*h + h. Let o be h*((-10)/(-65))/(-1). Which is smaller: o or 0?
0
Let a = 1502 + -1503. Which is smaller: -8/405 or a?
a
Let j = 348 + -346. Suppose -12*t - 430 = -17*t - 2*l, -4*t + 346 = j*l. Which is bigger: -0.2 or t?
t
Suppose -2*z = -11*r +


-1, 1
Suppose 4*n - 11 - 1 = 0. Let u(a) = -14*a**3 - 2*a**2 + 8*a + 8. Let f(c) = 5*c**3 + c**2 - 3*c - 3. Let b(p) = n*u(p) + 8*f(p). Factor b(i).
-2*i**2*(i - 1)
Let -7 + 45*x**4 - 42*x**3 - 36*x**3 + 9*x**2 - 5 + 36*x = 0. What is x?
-2/3, 2/5, 1
Let f be (2/28)/(-2*(-3)/48). Suppose -6/7*v + f + 2/7*v**2 = 0. What is v?
1, 2
Suppose 2*h + 28 = 9*h. Let y(z) be the second derivative of 3*z - 1/36*z**h - 1/6*z**2 + 0 + 1/9*z**3. Factor y(s).
-(s - 1)**2/3
Let x(t) be the third derivative of t**5/60 + t**3/6 - 3*t**2. Let u(n) = 21*n**2 - 18*n - 3. Let h(a) = u(a) + 6*x(a). Factor h(b).
3*(3*b - 1)**2
Factor -2/15*o**2 + 2/3*o + 0.
-2*o*(o - 5)/15
Let z = 162/427 - -3/61. Factor z*g**2 + 3/7 + 6/7*g.
3*(g + 1)**2/7
Suppose 0 = 6*p + 6 - 18. Let 8/7*w**p + 2/7*w + 2/7*w**5 + 8/7*w**4 + 12/7*w**3 + 0 = 0. What is w?
-1, 0
Solve 2*y**4 + y - 2*y**5 - 2*y**2 - y**5 + 2*y**5 + 0*y = 0 for y.
-1, 0, 1
Let h(l) be the second derivative of l**5/5 + 2*l**4/3 - 2*l**3/3 - 4*l**2 + 30*l. Factor h(i).
4*(i - 1)*(i + 1)*(i + 2)
Suppose -3*z + 4*z - 1 = -2*l, 9 = 2*z - 3*l. Determine w so that 2*w**3 - w**4 + w**z - 3*w**3 + w**2 = 0.
-1, 0, 1
Let w(l) be the first derivative of -l**8/7560 + l**7/3780 + l**3/3 + 2. Let g(m) be the third derivative of w(m). Factor g(r).
-2*r**3*(r - 1)/9
Let k(r) = 10*r**3 + 6*r**2 - 12*r + 19. Let w(u) = -u**3 - 1. Let l(b) = -2*k(b) - 22*w(b). What is q in l(q) = 0?
2
Suppose -225 = -17*v + 12*v. Solve -28*f**2 + 32 + 147*f**5 - 74*f**4 + 90*f**3 - 122*f**2 - v*f + 389*f**4 - 5 = 0.
-1, 3/7
Let l(a) = -a**2 - 6*a - 3. Let n be l(-6). Let o = 5 + n. Solve i + 0*i**2 - 3*i + i**o = 0 for i.
0, 2
Let f(c) = 3*c**5 - 6*c**4 - 9*c**3 - 6*c**2 - 6*c - 6. Let y(d) = d**4 + d + 1. Let p(u) = -f(u) - 6*y(u). Determine x so that p(x) = 0.
-1, 0, 2
What is c in 0 + 4/5*c**4 + 12/5*c**3 - 12/5*c - 4/5*c**2 = 0?
-3, -1, 0, 1
Let x(g) = g**5 - g**4 + g**3 + g**2 + g. Let z(a) = -4*a**5 + 4*a**4 - 10*a**3 - 2*a**2 - 4*a - 2. Let i(s) = -6*x(s) - z(s). Factor i(o).
-2*(o - 1)**3*(o + 1)**2
Let y be 968/56 - (-2)/(-7). Let z = 20 - y. Solve -2/11*g**2 + 2/11*g**4 + 0*g**z + 0 + 0*g = 0.
-1, 0, 1
Let x = -1204/9 - -134. Determine u, given that x*u - 32/9*u**4 + 14/9*u**2 + 16/9*u**3 + 0 = 0.
-1/4, 0, 1
Let x = 1/27 - -8/27. Solve x*r + 0 + 1/3*r**2 = 0.
-1, 0
Let x(g) = -9*g**3 - 7*g**2 + 9*g + 7. Let p = -7 - -13. Let k(m) = -4*m**3 - 3*m**2 + 4*m + 3. Let u(a) = p*x(a) - 14*k(a). Factor u(r).
2*r*(r - 1)*(r + 1)
Let r(o) be the first derivative of o**6/12 + o**5/2 + 5*o**4/4 + 5*o**3/3 + 5*o**2/4 + o/2 + 20. Suppose r(g) = 0. What is g?
-1
Suppose u - j - 16 = -5*j, -3*u - 20 = -5*j. Find o such that u - 4/5*o + 2/5*o**2 = 0.
0, 2
Let i be (-133)/(-63) + 4/(-2). Let b(x) be the first derivative of -2/9*x + i*x**4 - 2/9*x**2 - 2 + 2/45*x**5 + 0*x**3. Factor b(z).
2*(z - 1)*(z + 1)**3/9
Let v = -32 + 34. Let p(m) be the second derivative of 0 + 0*m**3 + 0*m**v - 3*m - 1/20*m**5 + 0*m**4 + 1/30*m**6. Find q such that p(q) = 0.
0, 1
Let x(c) = -c - 2. Let d be x(-4). Let t(a) be the first derivative of -2 - 4/3*a**3 - 2*a - 3*a**d. Factor t(f).
-2*(f + 1)*(2*f + 1)
Let t(u) be the second derivative of 0 - 1/4*u**4 + 0*u**2 - 7*u + 0*u**3. Factor t(d).
-3*d**2
Suppose 5*h - 11 = -r + 3, h - 7 = 4*r. Let 3*y**2 - h*y**2 - 2 + y**2 + y**2 = 0. What is y?
-1, 1
Let j(a) be the second derivative of -1/27*a**4 + a + 1/9*a**3 - 1/9*a**2 + 0. Determine d, given that j(d) = 0.
1/2, 1
Let q(d) be the second derivative of d**4/36 + d**3/9 + d**2/6 - 13*d. Factor q(b).
(b + 1)**2/3
Let o(h) = 2*h**5 - 16*h**4 + 20*h**3 - 16*h**2 + 10*h + 8. Let a(k) = k**4 - k**3 + k**2 - k - 1. Let f(x) = -8*a(x) - o(x). Let f(v) = 0. What is v?
0, 1
Suppose -4*r = -1 - 23. Let a(f) be the third derivative of 0*f**3 + 0*f - 1/420*f**7 - 1/40*f**5 + 1/80*f**r + 0 - f**2 + 1/48*f**4. Factor a(n).
-n*(n - 1)**3/2
Let n(u) = -17*u**2 - 9*u + 9. Let g(r) = -8*r**2 - 4*r + 4. Let c(b) = -9*g(b) + 4*n(b). Suppose c(i) = 0. What is i?
0
Let b(x) = -14*x**4 - 17*x**3 + 113*x**2 - 39*x + 7. Let p(i) = -7*i**4 - 8*i**3 + 56*i**2 - 20*i + 4. Let r(m) = -4*b(m) + 7*p(m). Factor r(y).
y*(y - 2)*(y + 4)*(7*y - 2)
Let f(z) be the first derivative of 4*z**3/9 + 8*z**2/3 + 16*z/3 + 9. Factor f(y).
4*(y + 2)**2/3
Factor -u**2 + 11*u - 8 - 6*u - 17*u - 3*u**2.
-4*(u + 1)*(u + 2)
Let l(m) be the first derivative of -m**6/75 - m**5/10 - 3*m**4/10 - 7*m**3/15 - 2*m**2/5 - 4*m - 3. Let t(q) be the first derivative of l(q). Factor t(y).
-2*(y + 1)**3*(y + 2)/5
Let z = -111 + 445/4. Factor 1/4*r**3 + 0 + z*r**4 - 1/2*r**2 + 0*r.
r**2*(r - 1)*(r + 2)/4
Let r(f) be the first derivative of 5/4*f**4 + 7 + 1/5*f**5 + 2*f**2 + 0*f + 8/3*f**3. What is b in r(b) = 0?
-2, -1, 0
Let f(w) be the third derivative of -7*w**6/24 - 5*w**5/12 + 10*w**4/3 - 10*w**3/3 + 21*w**2. What is h in f(h) = 0?
-2, 2/7, 1
Let v(w) be the first derivative of w**3 + w**4 - 1/2*w**2 - 3 + 0*w. Suppose v(n) = 0. What is n?
-1, 0, 1/4
Let a(u) be the third derivative of -u**5/48 + 5*u**4/96 - 5*u**2. Suppose a(g) = 0. Calculate g.
0, 1
Let w(p) = 6*p - p**3 + 4*p**2 - 1 - 5*p + 3*p - 3*p. Let r = 1 - 4. Let a(z) = z**3 - 3*z**2 - z + 1. Let s(v) = r*a(v) - 2*w(v). Solve s(h) = 0.
-1, 1
Let a = 2/93 + 536/1023. Solve 10/11*v**3 + 2/11*v**2 + 4/11 - 10/11*v - a*v**4 = 0 for v.
-1, 2/3, 1
Let i(p) be the second derivative of p**5/40 - p**4/4 + p**3 - p**2 + 4*p. Let z(s) be the first derivative of i(s). Factor z(l).
3*(l - 2)**2/2
Suppose 5*w + 1 = 3*v, -v = -w - 4*w + 3. Let y = 1 + v. Factor -1/4*l**y + 0 + 0*l + 1/4*l**2.
-l**2*(l - 1)/4
Let u(k) = -k**3 + k**2 + 3*k. Let p be u(-2). Factor -4*s**2 - 17*s**2 + 7*s + p*s - 2.
-(3*s - 1)*(7*s - 2)
Let u(h) be the second derivative of -h**5/130 - h**4/39 + 3*h. Factor u(o).
-2*o**2*(o + 2)/13
Let l = 23 - 18. Let a(y) = 72*y**2 + 93*y + 16. Let q(m) = -36*m**2 - 47*m - 8. Let v(f) = l*q(f) + 3*a(f). Factor v(h).
4*(h + 1)*(9*h + 2)
Let u(k) be the second derivative of 1/2*k**3 + 0 - 3/40*k**5 - 3*k + 1/8*k**4 + 0*k**2. Let u(l) = 0. What is l?
-1, 0, 2
Suppose -3*v**2 - 8*v - 16/3 - 1/3*v**3 = 0. What is v?
-4, -1
Suppose 47 - 2 = 15*v. Factor 1 - 2*n - 13/4*n**4 + 17/4*n**v - 3/4*n**2 + 3/4*n**5.
(n - 2)*(n - 1)**3*(3*n + 2)/4
Solve 19*q**4 + 4*q**5 + 8*q + 18*q**2 + q**4 + 36*q**3 + 10*q**2 = 0.
-2, -1, 0
Let p(f) be the first derivative of -f**9/7560 - f**8/2100 - f**7/2100 - f**3 + 1. Let r(m) be the third derivative of p(m). Factor r(j).
-2*j**3*(j + 1)**2/5
Determine n, given that 0 - 1/3*n**2 + n = 0.
0, 3
Let y = -2 - -4. Let k be 1*y + 1 + -1. Suppose 9*s**2 + 0*s**k + 5*s + 3 - 2 + 7*s**3 + 2*s**4 = 0. Calculate s.
-1, -1/2
Let k(l) be the third derivative of -l**6/72 - l**5/12 - 5*l**4/36 + 8*l**2. Factor k(s).
-5*s*(s + 1)*(s + 2)/3
Suppose -12 - 2*g**2 + 2*g**2 + 3*g**2 = 0. What is g?
-2, 2
Let d(y) = y - 1. Let z be d(4). Let 5*k**2 - 4*k**z - 5*k**2 - k**4 + 3*k**4 = 0. Calculate k.
0, 2
Let d(c) be the first derivative of 2*c**6/3 + 17*c**5/5 + 5*c**4 + 4*c**3/3 - 3. Factor d(l).
l**2*(l + 2)**2*(4*l + 1)
Let y(x) = -x**3 - 6*x**2 - 9*x - 2. Let w be y(-4). What is q in -2/7 + 2/7*q**w + 0*q = 0?
-1, 1
Let c = 4 + -1. Suppose -3*j + 2*o = -c - 7, 2*j + 8 = 5*o. Factor j*d**2 - 7/2*d**3 - 1 - 3/2*d.
-(d - 1)**2*(7*d + 2)/2
Let a(w) be the second derivative of -2*w + 1/4*w**4 + 1/20*w**5 + 1/2*w**2 + 1/2*w**3 + 0. Factor a(k).
(k + 1)**3
Suppose 4*h = -q + 36, -5*q = -3*h + 2*h - 180. Let n be (-21)/(-90) - (-6)/q. Factor n*r**2 + 2/5*r + 0.
2*r*(r + 1)/5
Suppose 5*p - 5*s - 22 = 3, -3*s - 5 = 2*p. Let m(k) be the third derivative of 0 + 0*k**3 + p*k**2 - 1/36*k**4 + 1/45*k**5 + 0*k - 1/180*k**6. Factor m(w).
-2*w*(w - 1)**2/3
Let s(f) be the second derivative of 0*f**2 + 0 - 1/6*f**4 - 1/42*f**7 + 0*f**5 + 1/15*f**6 + 1/6*f**3 - f. Factor s(b).
-b*(b - 1)**3*(b + 1)
Let g(h) = h**3 + 11*h**2 - h - 11. Suppose -m - 3 = 8. Let k be g(m). Let 1/4*x**2 + k + 1/4*x**3 - 1/2*x = 0. What is x?
-2, 0, 1
Let r(g) be the third derivative of 0*g + 0 - 1/420*g**7 - 1/80*g**6 - 1/48*g**4 + g**2 - 1/40*g**5 + 0*g**3. Factor r(i).
-i*(i + 1)**3/2
Let c(m) = 4*m**4 - 4*m**3 - 3*m**2 - 5. Let r(d) = 4*d**4 - 4*d**3 - 4*d**2 - 4. Let z(o) = -4*c(o) + 5*r(o). What is k in z(k


7a + -b8?
ceb2
In base 8, what is -2032 - 3532?
-5564
In base 4, what is 112210022 + -323221?
111220201
In base 7, what is -24652164541 + -5?
-24652164546
In base 13, what is -62793 + -2a?
-627c0
In base 9, what is -31 - 184454?
-184485
In base 7, what is 25623631314 - -1?
25623631315
In base 3, what is 122001110002 - 10110120?
121220222112
In base 15, what is 7be9 - 45?
7ba4
In base 8, what is 45220 - -537?
45757
In base 5, what is -21433110313 - -20?
-21433110243
In base 2, what is 1111111000000011000010 - -10000?
1111111000000011010010
In base 3, what is 211202012212020222 + 2?
211202012212021001
In base 15, what is -291b + d40c?
a9e1
In base 14, what is -9 - 4c03cd1?
-4c03cda
In base 14, what is 11 + -124c86a?
-124c859
In base 2, what is 1 - 110110001001111110010101100?
-110110001001111110010101011
In base 8, what is -550 - 12165662?
-12166432
In base 16, what is -130 - -2984?
2854
In base 14, what is 2bc0674 + b?
2bc0681
In base 2, what is -100 + -10000010111000011010000?
-10000010111000011010100
In base 15, what is 4ab125 + -1b?
4ab109
In base 14, what is -91188c - -2d?
-91185d
In base 4, what is -31103 - -1132223323?
1132132220
In base 11, what is 265839 + 319?
266057
In base 2, what is -11100101111 + 11100000000111?
11000011011000
In base 8, what is 7 - -23555057?
23555066
In base 9, what is 72644643 - 2?
72644641
In base 10, what is 119342424 + 0?
119342424
In base 11, what is 629876 + -25?
629851
In base 14, what is -b3dd2b - 4?
-b3dd31
In base 5, what is -2111300200 + -10?
-2111300210
In base 6, what is -15021 - 2524313?
-2543334
In base 6, what is -2113 - -2234403?
2232250
In base 16, what is 1073324a - 0?
1073324a
In base 13, what is 237975 + 20?
237995
In base 11, what is 8 + a79800?
a79808
In base 16, what is -914db - -33?
-914a8
In base 15, what is -c9654c + 1?
-c9654b
In base 5, what is -1413112031030 + 10?
-1413112031020
In base 13, what is 3643 + -3588?
88
In base 13, what is 509cc + -ab?
50921
In base 6, what is -2 - -10051423432?
10051423430
In base 10, what is 1 + 17727381?
17727382
In base 4, what is -312011 - -1102313?
130302
In base 3, what is -111101022201 + 1212221?
-111022102210
In base 10, what is 596989 - 59?
596930
In base 5, what is 202044343344 + 10?
202044343404
In base 16, what is -1108abb + -4?
-1108abf
In base 9, what is -107231380 - -13?
-107231366
In base 7, what is 5063 - 6116?
-1023
In base 5, what is -1140440 - -33213?
-1102222
In base 8, what is 242177241 + 2?
242177243
In base 15, what is 4 - -97d1d5?
97d1d9
In base 3, what is 222022120011201 + 1?
222022120011202
In base 12, what is 18139a - 15?
181385
In base 2, what is 101100010 - 1101010110110010?
-1101010001010000
In base 7, what is 21 - -565352?
565403
In base 9, what is -6740267 + 4?
-6740263
In base 6, what is -404525452 + 13?
-404525435
In base 5, what is -3432342 + -1231433?
-10214330
In base 12, what is 4 + -2ab80017?
-2ab80013
In base 6, what is 12054452 + 1151?
12100043
In base 6, what is 304220 - 402?
303414
In base 2, what is -100001101 + -1000101011010101?
-1000101111100010
In base 5, what is 2 - -1313002402?
1313002404
In base 9, what is -585548 - -6?
-585542
In base 13, what is 38 + 1216?
1251
In base 6, what is -3213 + 144534?
141321
In base 6, what is 0 - 123114130?
-123114130
In base 10, what is 278607 - -103?
278710
In base 4, what is 201222310112 - 0?
201222310112
In base 6, what is -1 - 32251552?
-32251553
In base 8, what is 163501 - 156?
163323
In base 11, what is -387825 + -8?
-387832
In base 13, what is 2 + -25c94a?
-25c948
In base 12, what is -7 - -5b242a?
5b2423
In base 8, what is -33355013 - 2?
-33355015
In base 15, what is 0 - -bd3737?
bd3737
In base 3, what is 221211 + -1200122122?
-1122200211
In base 9, what is -58525 - -3?
-58522
In base 10, what is 0 - -21026860?
21026860
In base 15, what is 44e040 - -52?
44e092
In base 11, what is -3001 - -121a1?
a1a0
In base 8, what is 4 + -71217321?
-71217315
In base 11, what is -548 + -13a43?
-14490
In base 11, what is 1 - -34106715?
34106716
In base 7, what is -1010226 - -65?
-1010131
In base 10, what is -4 - -1936956?
1936952
In base 7, what is -6414350 + 4?
-6414343
In base 9, what is -783847 + 674?
-783163
In base 8, what is 365646 - 366?
365260
In base 13, what is -b3abb4 - -3?
-b3abb1
In base 16, what is -1 + 59e0d36?
59e0d35
In base 9, what is -18425 - 1485?
-21021
In base 11, what is 3600a7395 + 1?
3600a7396
In base 13, what is -66992a + -1b?
-669948
In base 4, what is 13 - 30132013010?
-30132012331
In base 10, what is -288 + 1426213?
1425925
In base 3, what is 0 + -10002021110020222?
-10002021110020222
In base 12, what is 320 - -6150?
6470
In base 2, what is -1 - 100110011101101010001?
-100110011101101010010
In base 14, what is 61d619 - -2?
61d61b
In base 16, what is c - -3bfd5?
3bfe1
In base 12, what is -486 - -1174?
8aa
In base 8, what is 620455 - 53?
620402
In base 16, what is 1 - -b4bac9?
b4baca
In base 5, what is 23202 - 222232?
-144030
In base 9, what is 137 - 242777?
-242640
In base 9, what is 14 + -35042810?
-35042785
In base 5, what is 11202 - 23230333?
-23214131
In base 10, what is -5 + 784723?
784718
In base 13, what is -41 + -bc33?
-bc74
In base 10, what is 2969 + 1062?
4031
In base 13, what is 7c - -125242?
1252c1
In base 7, what is -11611334513 + -3?
-11611334516
In base 6, what is -254152011 - 15?
-254152030
In base 11, what is 2a6 + -8291?
-7a96
In base 3, what is -20201000111 - 11100?
-20201011211
In base 5, what is 40414042103 - 10?
40414042043
In base 3, what is -20100021022021 + -10201?
-20100021102222
In base 5, what is 1302 - -12000312?
12002114
In base 11, what is -82a + -3006?
-3835
In base 14, what is 1557 + 2d91?
4508
In base 12, what is -11308847 - 4?
-1130884b
In base 6, what is 200554310 + 5?
200554315
In base 4, what is 131211122231 + 230?
131211123121
In base 15, what is 3872a4b + -2?
3872a49
In base 7, what is 2653522 - -125?
2653650
In base 13, what is c + 369c79?
369c88
In base 13, what is -2 - -780881?
78087c
In base 8, what is 0 - -21426771?
21426771
In base 16, what is -120 + 1c75d?
1c63d
In base 13, what is 60020 + -4?
60019
In base 7, what is -463 - -122660?
122164
In base 14, what is -21908902 - -2?
-21908900
In base 3, what is -120021210010 - 121000?
-120022101010
In base 15, what is 470d35 + 1?
470d36
In base 8, what is 4216505523 - -4?
4216505527
In base 2, what is -10001 - 110110011101000110010?
-110110011101001000011
In base 6, what is -11 + 1550000420?
1550000405
In base 10, what is -12435072 - -43?
-12435029
In base 6, what is 303514132 - -1?
303514133
In base 6, what is -1320 - -2304422?
2303102
In base 4, what is 3 + 212222023201?
212222023210
In base 16, what is -1ec4 + -34e3?
-53a7
In base 4, what is -11033310 + -3111130?
-20211100
In base 14, what is -2a30cd + 0?
-2a30cd
In base 10, what is 269 + 105782?
106051
In base 2, what is 11 + -100101111100011011110101?
-100101111100011011110010
In base 6, what is 10 + 12103302?
12103312
In base 9, what is -30516287 - -4?
-30516283
In base 16, what is 4 - 504b2a?
-504b26
In base 10, what is -45891 + 2026?
-43865
In base 9, what is 6060 + -2360?
3600
In base 9, what is 14520502 + -26?
14520465
In base 14, what is -4c + 81b44?
81ad6
In base 3, what is -202100 + -221011210?
-221221010
In base 2, what is 100010001110001010110 + 10?
100010001110001011000
In base 12, what is -1875b0a3 - -4?
-1875b09b
In base 13, what is -171b14 - -255?
-17188c
In base 11, what is -4047a7 - -8?
-40479a
In base 5, what is 102041 - -122020?
224111
In base 2, what is -10101111 - 11111000011001000?
-11111000101110111
In base 11, what is 64 + 12914a2?
1291556
In base 16, what is 1bd + -5a2f?
-5872
In base 3, what is 212100100 + 21111?
212121211
In base 15, what is -1a4 - b3aa?
-b55e
In base 3, what is -12012 + 2212100212102?
2212100200020
In base 10, what is 418682 - -110?
418792
In base 13, what is 4 - -703a06?
703a0a
In base 7, what is -41361266 - 13?
-41361312
In base 11, what is 695442 + -561?
694991
In base 12, what is 9857b90 - 0?
9857b90
In base 16, what is -95d22 + -5?
-95d27
In base 3, what is -120020111 - 12002?
-120102120
In base 9, what is 12508 + 1285?
13804
In base 10, what is 271616 + 32?
271648
In base 5, what is -31 + -124202431?
-124203012
In base 11, what is -95348 + 275?
-95083
In b


 prime factors of 35340?
2, 3, 5, 19, 31
List the prime factors of 2608.
2, 163
What are the prime factors of 18836?
2, 17, 277
What are the prime factors of 931?
7, 19
What are the prime factors of 2842?
2, 7, 29
What are the prime factors of 4982?
2, 47, 53
What are the prime factors of 3535?
5, 7, 101
List the prime factors of 6488.
2, 811
List the prime factors of 6193.
11, 563
List the prime factors of 3866.
2, 1933
List the prime factors of 2038.
2, 1019
List the prime factors of 369.
3, 41
What are the prime factors of 8016?
2, 3, 167
What are the prime factors of 4694?
2, 2347
What are the prime factors of 23431?
23431
List the prime factors of 4735.
5, 947
What are the prime factors of 7402?
2, 3701
What are the prime factors of 928?
2, 29
List the prime factors of 4311.
3, 479
List the prime factors of 2719.
2719
What are the prime factors of 6359?
6359
What are the prime factors of 64312?
2, 8039
List the prime factors of 73765.
5, 14753
List the prime factors of 1758.
2, 3, 293
List the prime factors of 1674.
2, 3, 31
List the prime factors of 16108.
2, 4027
List the prime factors of 9919.
7, 13, 109
What are the prime factors of 42705?
3, 5, 13, 73
List the prime factors of 2513.
7, 359
List the prime factors of 6740.
2, 5, 337
List the prime factors of 61098.
2, 3, 17, 599
List the prime factors of 17856.
2, 3, 31
What are the prime factors of 931?
7, 19
List the prime factors of 1933.
1933
What are the prime factors of 4303?
13, 331
List the prime factors of 950.
2, 5, 19
What are the prime factors of 1117?
1117
What are the prime factors of 4313?
19, 227
List the prime factors of 72620.
2, 5, 3631
What are the prime factors of 679?
7, 97
What are the prime factors of 3767?
3767
What are the prime factors of 615?
3, 5, 41
What are the prime factors of 27630?
2, 3, 5, 307
List the prime factors of 1165.
5, 233
What are the prime factors of 3604?
2, 17, 53
What are the prime factors of 5476?
2, 37
List the prime factors of 869.
11, 79
What are the prime factors of 1664?
2, 13
What are the prime factors of 852?
2, 3, 71
List the prime factors of 2459.
2459
What are the prime factors of 1628?
2, 11, 37
What are the prime factors of 2379?
3, 13, 61
What are the prime factors of 2113?
2113
What are the prime factors of 56889?
3, 7, 43
What are the prime factors of 6433?
7, 919
What are the prime factors of 11833?
11833
What are the prime factors of 26386?
2, 79, 167
What are the prime factors of 8777?
67, 131
What are the prime factors of 6395?
5, 1279
What are the prime factors of 708?
2, 3, 59
What are the prime factors of 2283?
3, 761
What are the prime factors of 3241?
7, 463
What are the prime factors of 71431?
61, 1171
What are the prime factors of 3636?
2, 3, 101
List the prime factors of 348.
2, 3, 29
What are the prime factors of 1009?
1009
What are the prime factors of 151955?
5, 30391
What are the prime factors of 448?
2, 7
What are the prime factors of 6777?
3, 251
List the prime factors of 1406.
2, 19, 37
What are the prime factors of 2314?
2, 13, 89
What are the prime factors of 15248?
2, 953
List the prime factors of 307.
307
What are the prime factors of 6440?
2, 5, 7, 23
What are the prime factors of 169212?
2, 3, 59, 239
List the prime factors of 26113.
26113
List the prime factors of 394.
2, 197
List the prime factors of 9174.
2, 3, 11, 139
What are the prime factors of 3990?
2, 3, 5, 7, 19
List the prime factors of 19190.
2, 5, 19, 101
What are the prime factors of 1963?
13, 151
What are the prime factors of 11053?
7, 1579
List the prime factors of 1295.
5, 7, 37
What are the prime factors of 915?
3, 5, 61
What are the prime factors of 6476?
2, 1619
What are the prime factors of 28828?
2, 7207
What are the prime factors of 1708?
2, 7, 61
List the prime factors of 14493.
3, 4831
What are the prime factors of 2362?
2, 1181
List the prime factors of 2288.
2, 11, 13
List the prime factors of 120075.
3, 5, 1601
List the prime factors of 100978.
2, 29, 1741
List the prime factors of 6242.
2, 3121
List the prime factors of 4204.
2, 1051
List the prime factors of 2414.
2, 17, 71
What are the prime factors of 1194?
2, 3, 199
List the prime factors of 51844.
2, 13, 997
List the prime factors of 866.
2, 433
List the prime factors of 216.
2, 3
List the prime factors of 3109.
3109
What are the prime factors of 813?
3, 271
What are the prime factors of 22356?
2, 3, 23
List the prime factors of 2989.
7, 61
List the prime factors of 39406.
2, 17, 19, 61
List the prime factors of 9396.
2, 3, 29
What are the prime factors of 36019?
181, 199
What are the prime factors of 3204?
2, 3, 89
What are the prime factors of 2700?
2, 3, 5
What are the prime factors of 50029?
7, 1021
What are the prime factors of 1077?
3, 359
List the prime factors of 627.
3, 11, 19
What are the prime factors of 10889?
10889
What are the prime factors of 70908?
2, 3, 19, 311
List the prime factors of 69703.
43, 1621
List the prime factors of 3222.
2, 3, 179
List the prime factors of 67623.
3, 22541
List the prime factors of 2192.
2, 137
List the prime factors of 169726.
2, 113, 751
What are the prime factors of 16572?
2, 3, 1381
What are the prime factors of 4455?
3, 5, 11
What are the prime factors of 60027?
3, 11, 17, 107
What are the prime factors of 10671?
3, 3557
What are the prime factors of 4988?
2, 29, 43
List the prime factors of 2586.
2, 3, 431
List the prime factors of 163474.
2, 81737
What are the prime factors of 6099?
3, 19, 107
List the prime factors of 43095.
3, 5, 13, 17
List the prime factors of 36622.
2, 18311
List the prime factors of 88.
2, 11
What are the prime factors of 36456?
2, 3, 7, 31
List the prime factors of 17050.
2, 5, 11, 31
List the prime factors of 35287.
7, 71
What are the prime factors of 17163?
3, 1907
What are the prime factors of 37331?
7, 5333
List the prime factors of 98.
2, 7
What are the prime factors of 9894?
2, 3, 17, 97
What are the prime factors of 8833?
11, 73
List the prime factors of 3785.
5, 757
What are the prime factors of 45588?
2, 3, 29, 131
List the prime factors of 139789.
13, 10753
What are the prime factors of 32122?
2, 16061
List the prime factors of 955.
5, 191
What are the prime factors of 261?
3, 29
List the prime factors of 414.
2, 3, 23
What are the prime factors of 943?
23, 41
What are the prime factors of 228?
2, 3, 19
What are the prime factors of 1886?
2, 23, 41
List the prime factors of 1360.
2, 5, 17
List the prime factors of 30630.
2, 3, 5, 1021
List the prime factors of 1484.
2, 7, 53
What are the prime factors of 72727?
72727
What are the prime factors of 654?
2, 3, 109
What are the prime factors of 152?
2, 19
What are the prime factors of 838?
2, 419
What are the prime factors of 1167?
3, 389
List the prime factors of 4121.
13, 317
What are the prime factors of 76649?
76649
List the prime factors of 7710.
2, 3, 5, 257
List the prime factors of 516.
2, 3, 43
List the prime factors of 29754.
2, 3, 19, 29
What are the prime factors of 1067?
11, 97
List the prime factors of 30588.
2, 3, 2549
List the prime factors of 8106.
2, 3, 7, 193
List the prime factors of 2295.
3, 5, 17
What are the prime factors of 6640?
2, 5, 83
What are the prime factors of 33960?
2, 3, 5, 283
List the prime factors of 1034.
2, 11, 47
List the prime factors of 48478.
2, 24239
What are the prime factors of 32188?
2, 13, 619
List the prime factors of 5257.
7, 751
List the prime factors of 17972.
2, 4493
What are the prime factors of 77181?
3, 13, 1979
What are the prime factors of 3150?
2, 3, 5, 7
List the prime factors of 129.
3, 43
What are the prime factors of 32024?
2, 4003
List the prime factors of 30031.
59, 509
List the prime factors of 2266.
2, 11, 103
What are the prime factors of 59?
59
What are the prime factors of 94969?
7, 13567
What are the prime factors of 462?
2, 3, 7, 11
List the prime factors of 937.
937
List the prime factors of 16926.
2, 3, 7, 13, 31
List the prime factors of 512.
2
List the prime factors of 10571.
11, 31
List the prime factors of 221.
13, 17
List the prime factors of 63689.
63689
List the prime factors of 1607.
1607
What are the prime factors of 6336?
2, 3, 11
What are the prime factors of 36469?
36469
List the prime factors of 11280.
2, 3, 5, 47
List the prime factors of 13


d + 0*d).
-17*d
Expand (0 + 0 - o + 9)*(-1 - 3 + 2).
2*o - 18
Expand (-2 + 4*k - 8*k - 4*k)*(0*k - k + 0*k) - k**2 + 5*k**2 - 2*k**2.
10*k**2 + 2*k
Expand -4*b**2 + b**2 + 0*b**2 + (-2 + 1 + 3)*(b**2 + b**2 + 0*b**2).
b**2
Expand (-2*r - 3*r + 2*r)*(-r - 3*r + 0*r + (2 + 2*r - 2)*(0 + 2 + 0) + r + 3*r - 2*r + 3*r - 2*r + r).
-12*r**2
Expand (0*c - 2*c + 0*c)*(-2 + 1 + 2)*(-2*c + 1 - 1) + 16*c**2 - 27 + 27.
20*c**2
Expand (2 + 0 - 1)*(4 + 11*p - 2 - 8*p) + (p - 3*p + p)*(5 + 3 - 6).
p + 2
Expand 3*g**2 + 2*g**2 - 7*g**2 - g**2 + 0*g**2 + 3*g**2 + 2*g**2 + 0 + 0 + (-g + 2*g - 2*g)*(-g + 3*g - 4*g) + g**2 + 0*g**2 + 2*g**2 + g**2 + 3*g**2 - g**2.
10*g**2
Expand (-6 + 109*g + 115*g - 218*g)*(0*g + 3*g - g).
12*g**2 - 12*g
Expand (2*x - 5*x + 2*x)*(159*x - 159*x + 14*x**2).
-14*x**3
Expand (-55 + 55 + 16*w**2)*(-4*w - 2*w**3 + 4*w).
-32*w**5
Expand -l**3 - 7*l + 0*l + 3*l**3 + (-3*l**2 + 0*l**2 + l**2)*(2*l - 2*l - l).
4*l**3 - 7*l
Expand (24 - 16 + 17)*(1 - l - 1) + (4 - 2 - 3)*(3*l - 4*l - l) - l + l + 2*l.
-21*l
Expand -a**3 + a**3 + 2*a**3 + (-2*a - a + 4*a)*(-4*a**2 + 6*a**2 + 4*a**2) + 2*a**3 - a**3 - 3*a**3.
6*a**3
Expand (-2*s + 5*s - s)*(-s**3 - 3*s + 3*s - 1 + 2*s**3 + 1 + (-5 - s**2 + 5)*(-4*s + 2*s + 0*s)) + 0 + 0 - 3*s**4.
3*s**4
Expand (-10 + 4 + 3)*(a**5 + 0*a**5 + a**5).
-6*a**5
Expand (3*n**2 + 2*n**2 - n**2)*(0 + 1 + 1)*(n**3 + 3*n**2 - 3*n**2).
8*n**5
Expand (2*z + 0*z + 0*z)*(z + 4 - 4)*(-4*z + z + 5*z).
4*z**3
Expand (33 - 6*d**2 - 5*d**2 - 34)*(1 + 3 - 5)*(-1 + 1 - 2).
-22*d**2 - 2
Expand (-r**3 + r - r)*(-4*r - r + r + (r + 3*r - 6*r)*(1 + 2 - 2) + 1 - r - 1 - 3*r + 3*r - r + r - r + r).
7*r**4
Expand 18*g + 7*g + 25*g + (7 - 3 - 2)*(g - 1 + 1).
52*g
Expand -2*d - 4 + 4 + (-4*d - 4*d + 5*d)*(1 + 1 - 1) - d - 2 + 2 + (0*d - 4*d + 6*d)*(1 - 1 - 3).
-12*d
Expand (0*t + t + 0 + 3)*(-2 + 2 - 3).
-3*t - 9
Expand -9*c**5 - 6 + 6 + (-2*c**3 - 2*c**4 + 2*c**3)*(-2*c + 2 - 2) - c**5 + 3*c**5 - 4*c**5.
-7*c**5
Expand -3*g**5 + 5*g**5 - g**5 + (-2*g**5 - 1 + 1)*(-2 + 0 + 1) + (-g**2 + g**2 - 2*g**5)*(3 + 3 - 4) + (2 - 2*g**2 - 2)*(0*g + 3*g**3 + 0*g).
-7*g**5
Expand (4*i - 2*i + 0*i)*(-i + 13 + 16 - 4*i**2 - 30).
-8*i**3 - 2*i**2 - 2*i
Expand (-2 + 1 - 8)*(d - 3 + 3) + (0*d - 2*d + 4*d)*(5 + 1 - 5) - 3*d - 3*d + 3*d.
-10*d
Expand (4*v - v - v)*(-2*v**2 - v**2 - v**2).
-8*v**3
Expand (-2*r - 1 + 1)*(2 + 1 - 4) - 40*r + 21*r + 6*r.
-11*r
Expand 2*q**5 + 4 - 3*q + 3*q + (q - q - q**4)*(-2*q - 2*q - 2*q).
8*q**5 + 4
Expand ((-1 + 4 - 2)*(17 - 17 - 5*i**3) - i**3 + 0*i**3 + 2*i**3)*(3 + 2 - 1).
-16*i**3
Expand -41*q**2 - 52*q + 52*q - 6*q**2 + 2*q**2 + 3*q**2 + (3*q - q - q)*(3*q - 5*q + 0*q).
-44*q**2
Expand (5*p - 5*p - p**3)*(-2*p + 2*p - 2*p) + 6*p**4 + p**4 + 2*p**4.
11*p**4
Expand (0 - 2 - 5 + (-3 + 2 + 3)*(-1 - 1 + 4))*(3*q**4 - 2*q**3 + 2*q**3).
-9*q**4
Expand (-2*q - 2*q + 8*q)*(3*q**2 + q - q)*(3 + 0 - 4)*(2 - 2 + 1).
-12*q**3
Expand (0*m**4 - 3*m**4 + m**4)*((-4 + 1 + 2)*(-2*m - m + m) + 2*m - 2 + 2 + 25*m + 83 - 83).
-58*m**5
Expand -g**4 + g**4 - 2*g**4 + (0*g + 0*g + g)*(-2*g**3 + 6*g**3 - g**3) + 0*g**4 + g**4 + 0*g**4.
2*g**4
Expand ((1 + 1 + 0)*(-3*w + 0*w + 4*w) - 6*w + 4*w - w)*(-w**2 + w**2 - 6*w**2).
6*w**3
Expand (2 + 9*z + 2*z + z)*(-z + z + z) - z**2 - 4*z**2 + 3*z**2 + (3 - 3 - 2*z)*(2*z - 5*z + z) - 2*z**2 - 4*z**2 + 5*z**2 - 2*z**2 - z**2 - z**2.
9*z**2 + 2*z
Expand (-6 - 1 + 2)*(1 - 3*u - 1)*(3*u**2 - 4*u**2 + 3*u**2 + u**3).
15*u**4 + 30*u**3
Expand -w + 2*w - 3*w + (w - 3*w + 0*w)*(2 - 5 + 2) + 3*w + 3*w - 5*w + 3*w - 3*w + w + 15*w - 16*w - 11*w.
-10*w
Expand (2 + 0 + 3)*(2 - 2 - 1)*(1 + 2 + 0)*(-5*i + 2*i + i).
30*i
Expand (0 + y**5 + 0 + (-5*y + y + 3*y)*(-4*y**4 + 3*y**4 + 3*y**4) + 0*y**5 + 0*y**5 + 2*y**5)*(1 + 1 + 2).
4*y**5
Expand -15 + 2*y**5 + 15 + (6*y**4 - 4*y**4 - 3*y**4)*(2*y + 3*y - 4*y).
y**5
Expand (11 + 2*v**2 - 11)*(4*v**2 - 5*v**2 + 0*v**2)*(4 + 2 - 5).
-2*v**4
Expand (4*k**3 + 0*k**3 + 0*k**3)*(4*k + 0*k - 3*k - 3*k - k + 2*k + (2 - 3 + 3)*(-2*k + k + 0*k) + 0*k + 0*k - 4*k).
-28*k**4
Expand (3*s**2 - s**2 - 3*s**2)*(0*s + 5*s - 3*s).
-2*s**3
Expand (27 - 27 + 14*u)*(23*u - 23*u - 9*u**4).
-126*u**5
Expand (-2*r - 4*r + 4*r - 3*r**3)*(-4*r + 3*r + 0*r).
3*r**4 + 2*r**2
Expand 2*z**2 - 6*z**2 + 2*z**2 + (1 - 1 + z)*(0*z + z - 3*z) + (-z - 10*z - 9*z)*(-5*z + 2*z + z).
36*z**2
Expand (0 + 2*c**4 + 0)*(3 - 5 + 3)*(3 - 5 + 3).
2*c**4
Expand (-4*b + 4*b - 2*b**2)*(-4*b + 7*b + 3*b) - 2*b**3 + 4*b**3 + 0*b**3 + 0*b**3 - b**3 - b**3 + (-1 + 1 + 2*b**2)*(-b + 0*b + 3*b).
-8*b**3
Expand (-1 - 1 + 0)*(q**4 - 2*q**4 - 3*q**4).
8*q**4
Expand (3 + 3*s - 2*s + 0*s)*(-1 + 5 - 5).
-s - 3
Expand (-7 + 14 - 9 + 2*v + 0*v + 2*v - 4*v + (-v + v + v)*(0 - 1 - 1))*(-2*v**3 + 2*v**3 - 2*v**4).
4*v**5 + 4*v**4
Expand ((0 - 2 + 3)*(-a + 4*a - a) + (1 - 1 - 1)*(-50 + 50 - 2*a))*(-3 + 3 + 2*a**3).
8*a**4
Expand (-1 + 1 + 2)*(-2*n + 2*n + 2*n).
4*n
Expand (94 - 5*z - 94)*(-z + 2*z + z)*(3 - 2 - 5).
40*z**2
Expand -f**2 + f - 7*f + 4*f + (-6*f + 28 - 28)*(-2*f + 0*f + 3*f).
-7*f**2 - 2*f
Expand (-2*z**2 + 2*z**2 + 8*z**3)*(-3*z + 4*z + z).
16*z**4
Expand (0 + 0 - 2*s)*(-s - 4 + 3 + 2).
2*s**2 - 2*s
Expand (0 - 2*f + 0)*(f**4 + 3*f**2 - 3*f**2) - 8*f**5 + 16*f**2 + 19*f**5 - 20*f**2.
9*f**5 - 4*f**2
Expand (0*g**2 + 0*g**2 + g**5)*(5 - 4 - 3) - 8*g**5 - 3*g**5 + 4*g**5 + (-g**2 + 3*g**2 - g**2)*(-4*g**3 + 3*g**3 - g**3).
-11*g**5
Expand (9 - 9 - v)*(-2*v + 0*v + 0*v + v + v - 3*v + (-3 + 7 - 2)*(-v - 2*v + v) - 2*v - v + 2*v).
8*v**2
Expand (-12*c + 12*c + 21*c**2)*(-3 - c + 3).
-21*c**3
Expand (5 - 5 - o**2 - 2*o)*(-o - o - o).
3*o**3 + 6*o**2
Expand (-7*c + c + 3*c)*(-3*c - 6*c + 3*c) - 2*c**2 - 4 + 4.
16*c**2
Expand (4 + 4 - d + 0*d)*(-1 + 0 - 1).
2*d - 16
Expand 4*t**3 + 23*t**2 - 23*t**2 + (2*t + 2 - 2)*(1 + t**2 - 1).
6*t**3
Expand 10*t**4 + t**4 - 2*t**4 + (0*t + 0*t + 2*t**3)*(2*t - 2*t - 2*t) - 2*t**4 + 0 + 0 + (t - t + 2*t)*(-4*t**3 + 4*t**3 + 2*t**3).
7*t**4
Expand (-4*t - 3*t + 5*t)*(-6*t - 5*t + 5*t) + 0*t**2 - t**2 - t**2.
10*t**2
Expand 3*k + 2*k + 2*k**3 - 2*k + (2*k + 0*k - 4*k)*(4*k - 4*k + k**2) - 2*k**3 + 0*k**3 + k**3.
-k**3 + 3*k
Expand (5*m + m - 4*m)*(3*m**4 - m**4 - 4*m**4) + 2*m**4 + 2*m**5 - 2*m**4.
-2*m**5
Expand 2*j - 2*j - 2*j + (0 - 3 + 2)*(3*j + 0 + 0) + 4*j - 2*j - j.
-4*j
Expand (-5 + 3 - 5)*(-4*h + 2*h + 0*h).
14*h
Expand (-4*z + 2 - 2)*(2 + 3 - 6) + 0*z + z + z.
6*z
Expand (-2*a + 4*a + 0*a)*(-5 - 5*a + 5) + 2*a**2 + 0*a**2 + 2 + 0*a**2.
-8*a**2 + 2
Expand -135*v - 42*v**4 + 135*v + (5*v**4 - v**4 - 3*v**4)*(5 + 0 - 3) + 0*v**4 - 2*v**4 + v**4.
-41*v**4
Expand 3*a**3 - 3*a**3 - 3*a**4 + 10 - 10 + a**4 - 5*a**4 - a**4 + 3*a**4 + (-3*a + 2*a + 2*a)*(0*a**3 + 3*a**3 - 2*a**3).
-4*a**4
Expand (-b + 0*b + 6*b)*(-2*b - 3*b + 4*b).
-5*b**2
Expand (7 - 4 - 2)*(4*c - 3*c + 0*c).
c
Expand (-3 - a - 2 + 1)*(-3*a + 3*a + 2*a).
-2*a**2 - 8*a
Expand (v**2 - v + v)*(2*v**2 + 0*v**2 - 4*v**2 + (-6*v - v - v)*(0*v - 3*v + 4*v) - 2*v + 2*v + v**2).
-9*v**4
Expand (4*j**4 + j**4 - 7*j**4)*(4*j + j + j) + 2*j**4 - 2*j**4 + 7*j**5.
-5*j**5
Expand (-2*b + 3 - 3)*(-2 + 3 - 3 + (-7 + 1 + 2)*(1 + 2 - 6)).
-20*b
Expand (3*h - h + 0*h)*(22 - 29 - 10).
-34*h
Expand 3*g**2 - g**2 - g**2 - 3*g**2 + 3*g - 2*g + g**2 + (-2*g + 2*g - g)*(1 - 1 + g).
-2*g**2 + g
Expand (26 + h**3 - 26)*(-16*h**2 - 8 + 8).
-16*h**5
Expand 46*m - 14*m**2 - 46*m - 34*m**2 + (3 - 3 + m)*(0 + 0 - m).
-49*m**2
Expand 2*s**4 + 0*s**2 + 0*s**2 - 2*s**3 + 2*s**4 + 2*s**3 + (-1 - 2*s + 1)*(-6*s**3 + 5*s**3 - 2*s**3).
10*s**4
Expand -2*y**4 + y**4 + 0*y**4 + (-2*y + 4*y - 3*y)*(-2*y**3 + 6*y**3 - y**3).
-4*y**4
Expand (0 + 0 - 1)*(2*r - r + 3*r)*(-2*r - 3*r + 4*r).
4*r**2
Expand (0*w - 2*w - 2*w)*(2*w**4 + 5*w**3 + 0*w**4 - 4*w**3 - 2*w**2).
-8*w**5 - 4*w**4 + 8*w**3
Expand -k**4 + k**4 + 2*k**4 + (2*k**3 - 2*k**3 + k**3)*(-4*k + 7*k - k) + k**4 - 5*k + 5*k + (-4 + 4 - k**3)*(3*k - 2*k + 3*k) - 9*k**2 - 2*k**4 + 9*k**2.
-k**4
Expand (3*z**2 - 1 - 2*z**2 - 3*z**2)*(z - 2 + 2).
-2*z**3 - z
Expand (-9*n**4 - 9*n**4 - 6*n**4)*(n + 2 - 3*n + 4*n).
-48*n**5 - 48*n**4
Expand 3*b - 4*b + 0 + 3 + (-2*b + 5 - 5)*(1 + 2 - 1).
-5*b + 3
Expand 0*a**3 + 3*a**4 + 0*a**3 + (2*a - a - 6*a)*(-3*a**2 + 3*a**2 + 2*a**3).
-7*a**4
Expand (19*o + 3 - 6 - o)*(-3 + 2


t m(g) = p(g) - 3*v(g). Let n be m(r). Solve 5*o - o - n = 0 for o.
1
Suppose 3*u - 2 = 4. Solve a = -u*a for a.
0
Suppose -15 = -5*f, -v + f - 2 + 1 = 0. Suppose -2*i = -v, -5*j = -4*j - 5*i + 1. Solve j = 5*n + 14 for n.
-2
Let h(s) = 2*s - 6. Let u be h(4). Let o(t) = -1 - t + 6*t**2 - t**3 - u*t**2 - 2. Let m be o(3). Solve 5*i = m*i - 10 for i.
-5
Let m be -8*(10/(-4) + 2). Suppose -w + m*g = -24, w - 24 = -w + 2*g. Suppose 0 = -4*c - r + 12, -c + 0*c + 2*r = 6. Solve -c*j = -4*j - w for j.
-4
Suppose t - 15 = -2*t, 5*t = -3*x + 31. Suppose -x*u + 21 + 19 = 0. Solve 0*h - u = 5*h for h.
-4
Suppose -p - 2 = 5*u, -5*u - 6 = 3*p - 0*u. Let w be ((-6)/(-4) + -1)*2. Let b be (w + p/4)*10. Solve -3*k - 6 = -b*k for k.
3
Let q be 12*(0 - 1*(-1)/3). Solve 0 = -q*l - 20 for l.
-5
Let j(l) = -l**3 - 6*l**2 + 6*l + 6. Let z be j(-7). Let a(w) = w - 10. Let g be a(z). Solve -b - g*b = 20 for b.
-5
Let r = 21 - 20. Solve 0 = -y + r + 3 for y.
4
Suppose 83 = 3*k - 5*q, -3*k - 2*q + 34 = -k. Let y be 9/15 + k/15. Suppose -11 = -4*o + 1. Solve -o*j = y*j for j.
0
Suppose 4*d - w = 3*d + 2, 3*d - 8 = 2*w. Solve -d*u = -0*u for u.
0
Let u(s) = s**2 + 2*s + 6. Let x be u(-5). Let b = -5 + x. Solve -8*n + 4*n - b = 0 for n.
-4
Suppose -5*p = -58 + 3. Let w(g) = -g + 7. Let t be w(p). Let o(x) = x**2 + 3*x - 2. Let h be o(t). Solve -4*v + h*v = -2 for v.
1
Let u be (132/55)/(6/20). Solve 7*y + u = 5*y for y.
-4
Suppose 0 = 11*t + 77 - 330. Solve -t + 15 = 2*r for r.
-4
Suppose 11*k - 14*k + 2 = 4*g, 0 = -4*k - 5*g + 4. Solve 4*j + k = -14 for j.
-5
Suppose 0 = -2*q - 2*q + 24. Let d be (1/(-2))/((-3)/q). Let s be d + (-1 - 0)*-3. Solve s*a - 4 = 12 for a.
4
Let c be 0/(-4) + (-1 - -15). Let l be 80/c + (-2)/(-7). Solve -l*b + 2*b = 0 for b.
0
Suppose -u = -0*u - 5*k - 16, 0 = -u - 2*k - 19. Let h = 9 + u. Solve 0 = -h*d - 5*d + 15 for d.
3
Let z = 6 - 1. Let a be z/(-15) + 1/3. Suppose -5*j = s + 13 + 2, a = 3*s + 5*j + 15. Solve s = 4*h + h + 25 for h.
-5
Suppose f = -4*f + 10. Let i = -10 - -17. Suppose -f*s = -i*s + 15. Solve 7 = -s*x + 1 for x.
-2
Suppose 0*x + 4*x + 4 = 0, 0 = -n - 2*x - 10. Let z be (n + 1)*(-10)/35. Suppose -2*g + 28 = 4*v + z*g, 12 = 3*g. Solve -v*y - 12 = 3 for y.
-5
Let f be (-82)/(-8) + (-3)/12. Let c(i) = -9 - 3*i**2 + i**3 - 6*i**2 - 9*i + 0 + 1. Let h be c(f). Solve 2*b + h*b + 16 = 0 for b.
-4
Let z(x) = -x**3 + 12*x**2 + 2*x - 17. Let l be z(12). Solve 2*n - l = 1 for n.
4
Suppose -10*l + 6*l + 8 = 0. Suppose -3*z = 3*d - 6, -5*d - 18 = -5*z - l*d. Solve z*r - 12 = -0*r for r.
4
Let o be ((-3)/2)/((-51)/170). Solve 2*y + o = -3 for y.
-4
Let h be ((-30)/(-25))/(2/(-5)). Let l be (h/(-9))/(1/18). Let i be ((-4)/3)/1*-3. Solve s = i*s + l for s.
-2
Let l = 47 + -46. Solve -5*i + 6*i = l for i.
1
Let a = -24 + 27. Solve 0*c = a*c for c.
0
Let v be (-6)/21 + 30/7. Let f(m) = 12*m**2 - 2*m - 1. Let x be f(-1). Let a = x - 8. Solve v*d = -d + a for d.
1
Let c(n) = -n**2 - 6*n - 1. Let h be c(-4). Suppose -w - h = -27. Let o(s) = -s**2 + 2*s - 1. Let i be o(1). Solve 4*p = -i*p + w for p.
5
Suppose -b + 2 + 0 = 0. Suppose -j = -0*m - m - 2, -6 = -b*m. Suppose -j*p + 13 + 7 = 0. Solve p = -5*g - 21 for g.
-5
Suppose 0*k - k = 0. Let i(w) = w - 4. Suppose -8 = -h + 1. Let l be i(h). Solve k = l*m + 6 + 4 for m.
-2
Let f(w) = -2*w**3 + 25*w**2 + 14*w + 4. Let b be f(13). Solve -5*y + b = -3 for y.
4
Let t = 12 - 10. Let z be t - 2*(-5)/2. Solve z + 8 = -5*u for u.
-3
Suppose -l + 3 = -1. Let m be l - 5 - (-1 - 0). Solve 3*j + 2*j - 25 = m for j.
5
Let x = 54 + -51. Solve x*t - 5 = 4 for t.
3
Let z(c) = c - 2. Suppose 2*g - 10 = 0, 5*f = 3*f + 5*g - 11. Let n(x) = -x**2 + 8*x - 1. Let h be n(f). Let y be z(h). Solve -r = 1 - y for r.
3
Let y be (-8)/(-3)*(2 - -1). Let x = y + -6. Solve -x = 2*v - 4 for v.
1
Let w = 9 + 0. Solve -4*g - w = -1 for g.
-2
Suppose -9*s + 60 = -4*s. Solve 3 = -3*j + s for j.
3
Suppose -6 = -4*t + 26. Let f = -6 + t. Solve 4*a + f = 3*a for a.
-2
Suppose -2*l - 8 = -2*a - 2*a, 0 = -2*a - 5*l - 8. Solve 3 + a = y for y.
4
Let n = 22 - 16. Let f be (-3)/n*-2 + 3. Let z be (2 - (4 - 2))/(-2). Solve z = -f*p - 11 + 3 for p.
-2
Suppose -h = -0*h - 1. Solve 0 = -g - 0*g + h for g.
1
Suppose 0 = -p + 1 + 7. Let x(o) = -o**2 + 8*o + 4. Let s be x(p). Solve -b + 0*b = s for b.
-4
Let u(d) = -d**3 + 7*d**2 - 6*d + 8. Let c be u(6). Let l = c + -4. Solve -l*v - v = 5 for v.
-1
Suppose 0*o = 2*o - 4. Solve b = o*b + 3 for b.
-3
Let j be (-3)/(-9) - (-2)/(-6). Suppose 5*q - 4*q = -l + 11, j = -5*q - 5. Solve 2*m = l - 4 for m.
4
Let l(c) = -3*c**2 + 21*c + 4. Let g be l(7). Solve 0 = 2*y - g - 4 for y.
4
Let p = -59 - -71. Solve -7*b = -4*b + p for b.
-4
Suppose -h + 17 = -0*n + 5*n, -5*n = 2*h - 19. Suppose -27 = -3*k - 4*z, -3*k + 2*k + h*z = -19. Solve 4*l = k + 3 for l.
4
Suppose -4*g + 3*u + 8 = 2, -g + 2*u = 1. Let p be -2 - 0 - (-6 - -4). Let d be 0/(4*-1) + 3. Solve g + p = -d*l for l.
-1
Suppose 4*k + 1 - 26 = -b, 35 = 4*b + 3*k. Solve 2*g - b*g = -9 for g.
3
Suppose -2*x + 48 = 2*x. Let p = x + -5. Solve -2*g = -p*g - 15 for g.
-3
Let n be (-12)/(-42) - 9/7 - -5. Solve -2*s = -n*s - 6 for s.
-3
Suppose r - 5*r = 120. Let d = -27 - r. Solve -d*f + 0*f = -6 for f.
2
Let p(k) = -2*k - 4. Let t be p(-7). Let v = t - 7. Suppose 2*h + 0*h - 4 = 0. Solve h*l - v = -l for l.
1
Suppose 4*z = 3*r + 6, 2 = -z - 2*r - 2. Solve z = 5*l - 3 - 2 for l.
1
Let k be 2*((-1)/(-1) - 4). Let z be 108/30 + k/(-15). Solve -x - z + 1 = 0 for x.
-3
Let a(o) = -o**2 + 9*o - 11. Let f be a(7). Solve k + f - 2 = 0 for k.
-1
Suppose 3*o + 4*k = -30, -k - 17 = 2*o - 2. Let w be 4/6 + (-32)/o. Let d be 2/6 - (-52)/w. Solve d*c - 5 = 4*c for c.
1
Let p(o) = -5*o - 12. Let u(v) = 3*v + 6. Let a(s) = s**3 - 2*s**2 - 3*s - 4. Let w be a(3). Let h(c) = w*p(c) - 7*u(c). Let l be h(6). Solve l*z + z = 0 for z.
0
Let t be (-9 + 1)/(0 - 1). Solve -v - t = v for v.
-4
Let x be (-1)/(-7) + 55/7 + 0. Let m(s) = s - 1. Let i be m(4). Solve -5*v + x = i for v.
1
Let k = 7 + -5. Suppose k*x + 3*j - 16 = -1, 0 = 5*x - 4*j - 3. Suppose 23 = x*b - 22. Solve -2*q = b - 5 for q.
-5
Let y(v) = -5*v - 12. Let m be y(-3). Solve -7*l = -m*l - 16 for l.
4
Let s be (-2)/3 + 28/6. Let r be 4*2*(-4)/(-32). Let y = s + r. Solve 7 = -y*h - 18 for h.
-5
Let l(h) = -h**2 - 7*h + 2. Let v be l(-5). Suppose -2 = 2*d - 3*d. Solve -x = d*x - v for x.
4
Suppose 0*h = -4*h. Let m be (-7)/(-1) + (0 - -2). Let l = m - -1. Solve h*z = 2*z + l for z.
-5
Let w = -5 - -7. Solve w*z + 10 = 4*z for z.
5
Let y(a) = -2*a - 17. Suppose -5*p + 0*p = 60. Let n be y(p). Solve n*v = 4*v + 9 for v.
3
Let y be (16/(-6))/(10/(-15)). Solve 7*v = y*v for v.
0
Suppose 3*h = 4 - 1. Let p be 1/2*(h - 1). Solve -n + 6*n = p for n.
0
Let d = -8 - -12. Suppose 4*w - 20 = -3*y, 3*w + 4*y - 15 = -0*y. Solve -d*p = p - w for p.
1
Suppose 5*x = 16*x. Suppose c + 3*c - 16 = 0. Solve -c*m + 0 + 20 = x for m.
5
Suppose -5*i + 8 = -i. Let p be (-10 - -8)*(-3 - -2). Suppose 8 = i*d - p*j, 3*d + 0*d = -4*j - 2. Solve 2*z - 2 = d for z.
2
Suppose 0 = -o - 2*m + 5, -5*o - m + 8 - 1 = 0. Suppose 2*y + 2*y = 8. Solve o = -w + y*w for w.
1
Let h(q) = -q**3 - 4*q**2 - q. Let c = -21 - -17. Let i be h(c). Solve i*x = -x + 25 for x.
5
Suppose -2*x + 3*c = 5, 4*c = -3*x + 44 - 9. Solve -1 = x*n - 4*n for n.
-1
Suppose -6 - 4 = 2*h. Let n = h + 11. Solve 3*z + 21 = n for z.
-5
Let a be 7 - 5 - ((0 - 0) + 0). Solve a*p = p for p.
0
Let s be (1/(-3))/(1/3). Let v = 0 - s. Let o = -5 + 10. Solve 2*m = -o - v for m.
-3
Let l(p) = 2*p + 21. Let x be l(-9). Solve 0 = -x*u - u for u.
0
Let d(i) = -3*i**2 + i**3 + 1 + 3 + 2 - 4*i. Let s be d(4). Let l be 24/20*10/4 - 1. Solve l*o - 2 = s for o.
4
Suppose 0 = -0*w + 6*w. Solve w*h = 3*h - 9 for h.
3
Let q = 3 - 1. Suppose 4*r = w + 20, -5 = -4*r - q*w + 3. Suppose -2 = 2*g + 2*p - 10, 0 = -2*p + 6. Solve 3*f - r*f = -g for f.
1
Let c be (-1)/3 + (-2)/3. Let l(u) = -2*u - 2. Let k(h) = -h - 1. Let n(z) = k(z) - l(z). Let j be n(c). Solve -3*m - 2*m = j for m.
0
Let n be -14 + -3*(-2)/3. Let x = -10 - n. Suppose -x*c - 1 = -17. Solve 5*h - h = -c for h.
-2
Suppose 20*q + 0 = -0. Solve -f = -q*f + 1 for f.
-1
Let u be ((-328)/(-12))/(4/6). Suppose 0 = 3*m + 2*m - 65. Suppose -4*q + 5


 the common denominator of -127/2663980 and 75/38.
50615620
What is the lowest common multiple of 101183728 and 35711904?
607102368
What is the common denominator of -15/158745148 and 7/8?
317490296
Calculate the least common multiple of 460 and 48470430.
96940860
What is the lowest common multiple of 79765 and 9890?
3669190
What is the least common multiple of 78783646 and 236350938?
236350938
What is the common denominator of -41/1032 and 29/3285?
1130040
What is the least common multiple of 8 and 3165697?
25325576
What is the common denominator of 103/104 and -47/9362080?
9362080
What is the common denominator of -47/1807440 and -13/917010?
124713360
What is the least common multiple of 1567307 and 56?
12538456
What is the common denominator of -181/27220440 and 17/2093880?
27220440
Find the common denominator of 7/2663344 and -17/6658360.
13316720
Calculate the smallest common multiple of 750 and 5276625.
10553250
What is the common denominator of 89/3062584 and 109/45038?
3062584
Calculate the common denominator of -27/496 and 21/4768048.
4768048
What is the lowest common multiple of 3057808 and 364?
21404656
Find the common denominator of 11/79690 and -59/209646.
13626990
What is the lowest common multiple of 175 and 927300?
6491100
What is the smallest common multiple of 6 and 489974967?
979949934
Calculate the common denominator of 46/2265 and 23/13693284.
68466420
What is the lowest common multiple of 144 and 342840?
2057040
What is the lowest common multiple of 260 and 569894?
5698940
Calculate the common denominator of -61/4648416 and -23/3873680.
23242080
Find the common denominator of 13/874995 and 5/23449866.
117249330
What is the common denominator of -113/83057394 and 23/126?
249172182
What is the lowest common multiple of 4404 and 20606?
45374412
Calculate the least common multiple of 10956 and 654060.
54286980
Calculate the least common multiple of 168576669 and 102822.
337153338
Calculate the common denominator of -15/7929356 and 63/8.
15858712
Calculate the smallest common multiple of 19176 and 1390260.
2780520
Calculate the common denominator of 41/340156 and -55/3991.
4422028
What is the lowest common multiple of 73138 and 2136134?
61947886
Calculate the lowest common multiple of 12804 and 179454.
34814076
What is the lowest common multiple of 2504599 and 395463?
7513797
What is the common denominator of -53/7545 and -23/1044228?
5221140
Calculate the least common multiple of 16 and 72426314.
579410512
What is the smallest common multiple of 47919492 and 887398?
47919492
What is the smallest common multiple of 6782490 and 388089?
725726430
What is the common denominator of -77/5926878 and 181/1445580?
59268780
Calculate the smallest common multiple of 20800672 and 8.
20800672
Calculate the least common multiple of 370 and 23792110.
23792110
Calculate the common denominator of -41/6843952 and -97/710828.
1361946448
Calculate the common denominator of 67/2784 and -149/14982.
6951648
What is the least common multiple of 492646 and 181?
89168926
Find the common denominator of 69/139264 and 73/7759616.
248307712
What is the least common multiple of 894699 and 390?
8946990
What is the common denominator of -43/7761490 and -57/38807450?
38807450
What is the least common multiple of 1032 and 70704?
3040272
Find the common denominator of 59/22323708 and 11/488566.
290208204
Find the common denominator of -133/520 and 203/64559820.
129119640
Calculate the least common multiple of 31763905 and 3736930.
63527810
Calculate the common denominator of 13/17 and 12/3174205.
53961485
Calculate the common denominator of 16/629299 and 39/629299.
629299
Calculate the least common multiple of 6416 and 71596.
114839984
Find the common denominator of 93/352878310 and 103/10.
352878310
What is the common denominator of 31/179554 and -91/190116?
3231972
Calculate the smallest common multiple of 824697 and 9163300.
82469700
Calculate the common denominator of 65/122 and -133/34050078.
34050078
What is the common denominator of -31/6 and 39/502066?
1506198
Calculate the smallest common multiple of 295596 and 115668.
2660364
Calculate the lowest common multiple of 7811352 and 3204.
7811352
What is the common denominator of -79/527765 and 16/527765?
527765
Calculate the common denominator of -21/31460 and 69/1522180.
19788340
What is the lowest common multiple of 45855867 and 29416?
366846936
Calculate the common denominator of -37/143478 and 35/573912.
573912
What is the smallest common multiple of 23484 and 12032?
70639872
What is the common denominator of 53/42701250 and 141/6262850?
469713750
What is the lowest common multiple of 520299 and 840483?
10926279
Calculate the lowest common multiple of 76 and 49516.
940804
Find the common denominator of -157/60 and 7/3119320.
9357960
Find the common denominator of -13/264 and 46/18529203.
148233624
Calculate the least common multiple of 77081843 and 16133409.
693736587
Calculate the smallest common multiple of 18244110 and 122994.
54732330
Calculate the common denominator of 50/3 and 59/247989.
247989
Calculate the common denominator of 155/204624 and 63/1352.
34581456
Calculate the least common multiple of 67331 and 265.
17842715
What is the least common multiple of 5194602 and 4906013?
88308234
Calculate the smallest common multiple of 107822289 and 8485.
539111445
What is the lowest common multiple of 350 and 3059650?
21417550
Calculate the common denominator of 59/7500 and -59/1832.
3435000
What is the common denominator of 43/6516238 and -101/4210?
32581190
What is the common denominator of -34/7625 and 99/850?
259250
Calculate the lowest common multiple of 1054188 and 1054188.
1054188
Calculate the smallest common multiple of 9092974 and 1239951.
27278922
Calculate the common denominator of -34/3 and -2/3056151.
3056151
Find the common denominator of 59/120 and -53/6567310.
78807720
Calculate the least common multiple of 1210 and 6715390.
73869290
What is the smallest common multiple of 179232 and 66336?
123849312
Calculate the smallest common multiple of 2590388 and 6.
7771164
What is the least common multiple of 19613 and 65594787?
721542657
What is the smallest common multiple of 86040 and 61416?
73392120
Calculate the lowest common multiple of 164943 and 24436.
659772
What is the common denominator of 83/3980 and 9/5216188?
26080940
Calculate the common denominator of 17/18 and -76/97788699.
195577398
What is the least common multiple of 97756 and 1300?
31770700
Find the common denominator of -15/325852 and 181/120.
9775560
What is the common denominator of 111/10612 and -25/1114911?
1690205076
Find the common denominator of 67/376893 and -13/11139.
29774547
Calculate the smallest common multiple of 2798262 and 498.
2798262
What is the lowest common multiple of 202814 and 32489921?
1494536366
Calculate the common denominator of -181/1785840 and 39/1041740.
12500880
Calculate the smallest common multiple of 112880565 and 6.
225761130
What is the lowest common multiple of 35757811 and 166?
71515622
What is the smallest common multiple of 1160830 and 2195024?
120726320
What is the least common multiple of 208 and 1032?
26832
What is the lowest common multiple of 562 and 16962284?
16962284
What is the lowest common multiple of 1323260 and 3308150?
6616300
Calculate the common denominator of -65/452548 and -31/9503508.
9503508
Calculate the lowest common multiple of 65204280 and 48.
130408560
What is the lowest common multiple of 49062 and 112554?
1913418
What is the lowest common multiple of 30807 and 15399099?
107793693
What is the smallest common multiple of 22924 and 499961?
1041918724
What is the smallest common multiple of 25 and 217725?
217725
Calculate the common denominator of -16/1466829 and -29/4446.
55739502
Calculate the common denominator of 2/80199 and -55/49647.
1042587
What is the lowest common multiple of 219362 and 19470?
3290430
Calculate the common denominator of 9/12739006 and 17/38217018.
38217018
What is the common denominator of 113/1312848 and 47/60780?
6564240
Calculate the common denominator of 117/15030190 and -85/48096608.
240483040
What is the common denominator of -41/3564 and 137/517644?
17082252
What is the common denominator of -5/356844 and -13/1843694?
1106


smaller: k or -5/3?
k
Suppose -5*r = -4 - 6. Let m be r*2/(-4) - 2. Let k = 4 + m. Is -2/7 less than or equal to k?
True
Let t be 4/(-9)*(440/(-56) + 7). Which is smaller: t or 0?
0
Suppose 4 = 5*v - v. Suppose -2*k - 10 = 5*x, 3*k - 1 - v = x. Let m = 2 + -4. Is x at most as big as m?
True
Let r(m) = -8*m - 3. Let j(g) = 7*g + 3. Let d(z) = 3*j(z) + 2*r(z). Let i be d(-2). Is i greater than or equal to -7?
True
Let f be (-2)/(-7) + (-10)/35. Suppose 0 = 4*v + k - 18, -5*k = -2*v - 2 - f. Is v smaller than 4?
False
Let k(s) = -s**3 + 5*s**2 + s - 5. Let n be k(5). Which is smaller: 1/19 or n?
n
Suppose 2*o = -g, -3*o - 2*g = -2*o - 3. Which is smaller: -0.01 or o?
o
Let i = 31157/2328 + -5/582. Let v = i - 961/72. Is -1 smaller than v?
True
Let g = 4.1 + -4. Let i = g - -0.4. Let h = i + -0.4. Are h and -1/4 nonequal?
True
Let p = 56.94 + -57. Which is greater: 2 or p?
2
Suppose 4*i - 10 = 14. Suppose 4 = i*j - 2*j. Let p = 99 + -691/7. Is p at least j?
False
Let p = -1191/143 + 84/11. Let q = 2351694/65 - 36181. Let l = q - p. Which is smaller: 0 or l?
l
Let o = 289/1440 - 5/32. Is 0 >= o?
False
Suppose 4*t + 2 + 3 = -3*u, 4*t - 3*u = 13. Which is bigger: t or -2/75?
t
Suppose 30 = -0*f + 5*f. Let l = -16 - -12. Let a be 4/f - l/(-3). Which is greater: a or 0?
0
Let n = 1/6 + -5/6. Which is bigger: n or 4?
4
Let o be 3 + (2 - (-264)/(-51)). Which is smaller: -1 or o?
-1
Let o = 2 - 2. Let t = -11/15 - -9/10. Which is greater: t or o?
t
Let q = -93 + 92.9. Is q greater than or equal to 4?
False
Let t = 25 - 26.01. Let a = t + 0.01. Is -4 > a?
False
Let j = -1.3 + -1.7. Is -2/5 not equal to j?
True
Let a = -421/120 + 27/8. Is a at least 1?
False
Suppose 10 = 5*g - 4*l - 3, -2 = 4*g + 3*l. Suppose -4*d + 7 + g = 0. Suppose -5*f + d*h = 3*h - 4, 3*f - 5*h = 8. Is 3 not equal to f?
True
Let v be 10*(-3)/(-5 - 1). Suppose -3*g + 26 = -5*q, v*g + 0*g - 30 = 5*q. Let r = q - -4. Does r = 0?
True
Let h be 3/4*(-1)/(-3). Let r be (5 + -7)*2/(-10). Is r < h?
False
Let m = 13 - -3. Which is smaller: -0.1 or m?
-0.1
Let b = -251/2 + 1751/14. Let h be (-2)/(-5) + 33/55. Let t be h/(-5) - (-30)/25. Which is smaller: t or b?
b
Suppose -2*z = 3 - 5. Suppose 0 = 2*v - 6, 4*i + 0*v = -5*v + 27. Is z > i?
False
Let a = -7173/23 + 312. Which is bigger: -1 or a?
a
Let d(n) = n**3 + n**2 - 4*n - 6. Let p be d(-2). Is p at least as big as -2/165?
False
Let y = 8.9 + 0.1. Let b = y + -8.7. Let u = b - 0.5. Is u > -2/3?
True
Let w = 1 - -4. Let y(d) = -4*d**3 + 4*d**3 + w*d**2 - d**3. Let t be y(5). Which is greater: 1 or t?
1
Let q = 5.3 - 5. Let s = 11 + -23/2. Is s not equal to q?
True
Let z = -10 - -7. Let r be (-2)/z*(1 + 2). Suppose 0 = r*b + 4 - 2. Which is greater: -2 or b?
b
Let u = 4419/28 - 1243/8. Let i = u + -15/8. Which is greater: 1 or i?
1
Let r be ((-4)/16)/((-1)/4). Let c be -4 + r + 0 + 0. Which is smaller: c or -4?
-4
Let v be (-19)/4 - (-2)/(-8). Let z = v + 11. Let x be 3/(-2) - (-10)/z. Is x > 0?
True
Let i(r) = 3*r**2 - 8*r - 8. Let c(j) = -j**2 + 4*j + 4. Let k(f) = -5*c(f) - 2*i(f). Let v be k(-3). Let z be (-9)/(-6)*2 + -5. Which is smaller: v or z?
z
Suppose -77 = -9*r - 284. Is r at most -22?
True
Let m be 50/30 - 1/(-3). Suppose m*q - 6*q + 4 = 0. Which is smaller: 3/5 or q?
3/5
Let u(r) = -r**2 - 13*r + 5. Let p be u(-8). Let t be 9/((p/(-6))/5). Let f be 24/(-9) - (t - -3). Is -4 > f?
False
Let g = 70 + -1119/16. Is g greater than 2?
False
Let d = 4001086/135 + -29638. Let q = d - 2/27. Is -0.2 at least q?
True
Let h = 22 - 22. Is h bigger than 40?
False
Let c be (3/(-6))/(2/(-4)). Let x be -6 + (c - (-2 + 2)). Let b be (-3)/x*8/(-12). Is 1 less than b?
False
Let c = 3.9 - 4. Let h = -5.96 - 0.04. Are h and c equal?
False
Let y = 1.6 - 2.6. Which is bigger: -1/11 or y?
-1/11
Let p = 7.7 + -0.3. Let v = p - 8. Let y = 0.5 + v. Which is bigger: -2/5 or y?
y
Let g = -47/5 - -9. Let p = -3 - -2. Is g bigger than p?
True
Let t be ((-5)/12)/(3/12). Does t = -2?
False
Let o = -125.1 + 120. Let j = 5 + o. Is -2 <= j?
True
Suppose -2*q - 3 = -q, -5*q = m + 13. Suppose 0 - m = 2*i. Which is smaller: 1/25 or i?
i
Let a = 2/1711 - -2892/453415. Let x be (-3236)/(-530)*2/28. Let p = a - x. Which is smaller: 1 or p?
p
Let y be -1 + -1 - 0/2. Let b = -17 - -116/7. Is b equal to y?
False
Let f = 0.17 + -0.07. Which is greater: -2/7 or f?
f
Let l(f) = -f + 6. Let p be l(10). Let c be (3/2)/(2/p). Let a be 5/(-30) + 1/c. Is a < -2/5?
True
Let v be (-54)/13 + 30/195. Which is smaller: v or -6?
-6
Let c be 10/4*2/10. Let g = -1.84 - 0.26. Let j = g + 2. Do c and j have different values?
True
Let j = -0.8 + 15.8. Let p = -15.04 + j. Does 0 = p?
False
Let q = -180 + 1622/9. Let k = 0.03 + 0.27. Let x = k + -0.2. Is q at most x?
False
Let l be 4 + -9 + 37/11. Is l bigger than -1?
False
Let h = 31 - 2. Suppose 0 = -4*a + c + 22, 5*a = 2*c - 0*c + h. Are a and 5 unequal?
False
Let c = -0.1 + -0.9. Let b = -0.04 + 2.04. Let o = b + c. Which is greater: -2 or o?
o
Suppose 2*b - d - 816 = 0, 0 = -b + 3*b + 2*d - 804. Let r = 19896/49 - b. Is r at most -1?
False
Let h = -31 + 404/13. Is 1/2 bigger than h?
True
Let h(w) be the third derivative of -w**5/60 - w**4/12 + 3*w**2. Let n be h(-3). Which is smaller: n or -4?
-4
Suppose s - 8 = -1. Let c = -10 + s. Are -3 and c unequal?
False
Let c(y) = 17*y**3 - y**2 - y + 1. Let f be c(1). Is 17 equal to f?
False
Suppose -3*z + 2 - 2 = 0. Let p be (4/(-20))/(6/(-10)). Are p and z nonequal?
True
Let h be ((-15)/(-9) - 3) + 6/18. Is h > 0.075?
False
Let f = 29 + -28. Is f less than -2/19?
False
Let c = 15 + 12. Which is greater: c or 26?
c
Let y be (-1 - 1)*4/4. Let a be 18/(-20) - 1/y. Which is smaller: -10 or a?
-10
Let b = 1 + 1. Suppose b*y = -3 + 11. Suppose -4*i - 4 = -4*r, i - r - 3 = y*r. Is i greater than or equal to -2?
True
Let x = -19 + 24. Is -1 less than x?
True
Let l(f) = -f**2 + 7*f + 4. Suppose q - 25 = -4*q. Let i be l(q). Let g be 4/i - 48/21. Which is smaller: -1 or g?
g
Let c(q) = -q**3 + 3*q + 1. Let r be c(2). Which is bigger: -5 or r?
r
Let h = 7 - 10. Let t = -10 - -7. Is h > t?
False
Let w = -0.13 + 0.17. Are w and -2 unequal?
True
Let v(c) be the third derivative of -c**4/24 + 2*c**3/3 - 3*c**2. Let a be v(3). Which is bigger: a or 2?
2
Suppose -x = 2*w - 2*x - 17, -4*x - 44 = -5*w. Suppose 5*n = w + 2. Is 3 smaller than n?
False
Let q be 9/(-6)*((-2)/(-3) + 2). Are -3 and q nonequal?
True
Let q = 0.5 - 4.5. Let d = 2 + q. Which is smaller: -1/4 or d?
d
Let c be 8/((-16)/2) - (-13)/5. Which is bigger: 3 or c?
3
Let n = 8 + -6. Suppose 0 = n*s + 6 - 20. Is s less than 8?
True
Let u = 4 - 7. Let j = -0.061 - -0.161. Is u bigger than j?
False
Let d = -3/5 + 41/60. Let z be -2 - (0 - (0 - -1)). Which is bigger: z or d?
d
Suppose 0 = 6*n - 2*n - 12. Suppose n*a = 5*z - 3 - 5, 0 = a + z + 8. Let w(m) = m**2 + 7*m + 7. Let g be w(a). Is 1 greater than g?
False
Let r = 0.1 - 0. Which is bigger: 4 or r?
4
Let f = 0.9 + 6.1. Which is greater: f or 1/2?
f
Suppose -4*i = i - j - 8, -2*j = -4*i + 10. Is 0 >= i?
False
Suppose 3*x + 2*x = 0. Suppose -4*o + 49 - 1 = x. Let y be 1 - -6*3/o. Which is smaller: 2 or y?
2
Suppose -3*g = 16 - 7. Let n(i) = 2*i**2 + 4*i + 4. Let w be n(g). Let o be (-1)/1*(-4)/w. Which is smaller: -1 or o?
-1
Suppose -3 = -l - 0*l. Let d = -2 + l. Let p = 2/339 + -347/1356. Is d at least as big as p?
True
Let f(g) = -g**3 + 9*g**2 - 13*g - 5. Let c be f(7). Is 4 != c?
True
Let x = 36958 + -1034703/28. Let h = x - 19/4. Is h less than 0?
True
Let y be 6*(-1)/(-3)*1. Suppose 2*u + 8 = 5*w, 4 - 11 = -2*w - 3*u. Suppose 4*a - o - 3 = 0, w = -3*a + 7*o - 2*o. Which is smaller: y or a?
a
Suppose 2*t + 40 = 6*t. Suppose -3*n = 3*y + 6, -t = -0*y + y + 5*n. Let q = 177 - 882/5. Is y less than or equal to q?
True
Let c = -0.4 + 11.4. Let y = c - 10.9. Which is smaller: y or 7?
y
Let p = -13 + 7. Let l be 3/((-9)/p) + 1. Is 2 not equal to l?
True
Let c = 24 - 47/2. Let v(f) be the third derivative of f**4/12 - 19*f**3/6 + 11*f**2. Let i be v(10). Is c < i?
True
Suppose -3*a = 2*w - 237, -333 + 87 = -3*a - 5*w. Let f = 463/6 - a. Let o be (-10)/35 + 9/7. Is f at most as big as o?
True
Let l = 97/91 + -12/13. Which is smaller: 0 or l?
0
Let g = 2.24 + -2.34. Is g > -5?
True
Suppose -d + 5*a = 3


3).
3
What is -1 - 2 - (0 + -7)?
4
What is the value of (5 - 1) + (-22 - -9) + 6?
-3
(-51 - -38) + 3 + 0 + 1
-9
-4 - (2 - 10) - 0
4
Evaluate (3 - -1) + -2 + 1.
3
What is 2 - -5 - ((5 - 14) + 13)?
3
Evaluate -3 + 5 + (-1 - 7) + 4.
-2
What is the value of 6 - (12 + -4) - 3 - 5?
-10
Evaluate (1 + -1 - -1) + 5 - 4.
2
Calculate (4 - (3 + -3) - 11) + 4.
-3
What is 5 + -1 - (-18 - (-33 + 15))?
4
What is -2 + (6 - (6 - 3))?
1
What is the value of (-3 - (4 + 1 + -4)) + 4?
0
Evaluate 1 - (-4 + -4 + 5).
4
What is -4 + 5 - (-6 - -2)?
5
0 + 0 + 2 + -1 + 1
2
What is the value of (4 - 2) + -20 + -2 + 20?
0
Calculate -5 + (-1 - 7 - -21).
8
Evaluate 14 - (28 + -32 - (-12 + 1)).
7
(-11 - -12) + (-4 - -2)
-1
What is -6 - (9 + -17 - 1)?
3
What is -2 + 1 + -3 + 0 - 0?
-4
Calculate 3 + -2 + 6 - (0 + 1).
6
-1 + -1 + 2 + -1 + -2
-3
Evaluate 6 - (7 - 7 - -10).
-4
Evaluate 0 + 1 - 0 - (-1 - 2).
4
What is (0 - -7) + (-96 - -89)?
0
Evaluate -11 + (-8 - -15) + (1 - -4).
1
Calculate -4 - (5 + (-2 - 2)).
-5
What is the value of (0 - -13) + -5 - (6 - 4)?
6
(3 - (6 - -4)) + 8
1
What is the value of (-3 - -6) + 3 - 3?
3
What is the value of (3 - 7) + 1 - (-2 - -1)?
-2
What is (5 - 1) + 2 + -3 + 1?
4
What is the value of 0 - 5 - (-9 + (-12 - -11))?
5
What is the value of -7 - (1 + -1) - -2?
-5
4 + -9 - -9 - 4
0
(-24 - -6 - -7) + 4
-7
Calculate 1 + (7 + 1 - 10).
-1
What is 6 + -1 + (10 - (14 + -3))?
4
What is 3 + 0 + -267 + 257?
-7
19 + -17 - (-1 - 4)
7
Evaluate (-1 - 15) + 10 + -2 - 0.
-8
What is the value of 4 + -2 + 0 + (9 - 15)?
-4
-1 + -4 + 9 + -7
-3
Calculate -3 - (3 + -3 + -8 + 4).
1
What is the value of 48 + -39 + (0 - (-2 + 4))?
7
Calculate (-8 - (-9 + 3 - -2)) + 9.
5
Evaluate -35 - -42 - (-3 - (-4 - -3)).
9
What is the value of -11 - -1 - (8 - 23)?
5
What is 0 + (14 + -3 - 4)?
7
(2 + 0 - 7) + (15 - 8)
2
(7 + -3 - (8 + -9)) + -10
-5
What is the value of 4 + -1 + -4 + 3?
2
11 + (-11 + 0 - -2)
2
What is -1 - (-2 + -1 - (4 + -7))?
-1
Calculate 1 + -3 + 7 - (18 - 6).
-7
Calculate -4 + 4 + -3 - -1.
-2
What is 9 - (12 + -6 - 0)?
3
What is the value of (-4 - 0) + (-10 - -14)?
0
-3 + 6 + -8 + 3 - 1
-3
4 + -7 + 0 + -1 + 3
-1
What is the value of -31 + 27 + (-2 - -2 - -9)?
5
What is (11 - 0 - 4) + -13?
-6
-1 + (1 - (-7 + 2))
5
What is the value of 9 - 0 - (-5 + 9 + 0)?
5
(15 - 10) + -9 + -3
-7
Calculate -6 + -1 + 3 + 5 + 6.
7
Evaluate 0 - -3 - (-2 - (4 + -1)).
8
Evaluate -1 - (2 + -2 - -4).
-5
Calculate -12 - (-6 + -5) - 0.
-1
What is the value of 7 - ((16 - (-2 + 7)) + -4)?
0
Evaluate (-2 - (3 + -5)) + (-1 - 0).
-1
What is the value of -6 + 1 - (4 - (13 - 2))?
2
What is the value of -2 + 3 + 3 + -8 + -1?
-5
Evaluate -5 + ((-3 - -4) + 0 - 0).
-4
Calculate 3 - (1 + -5 + 3).
4
Calculate (8 - (6 - 3)) + 0 - 0.
5
What is (-182 - -175) + (1 - (-3 - 0))?
-3
What is the value of 0 + -5 + 1 + (9 - 7)?
-2
Evaluate 14 - (5 - -5 - 4).
8
Evaluate -5 + 22 + -11 - -1.
7
Calculate 2 - (-2 + 1) - (8 - 7).
2
Evaluate 4 + 0 + (-2 - -3).
5
Evaluate 8 + 2 + 0 - 5.
5
What is 8 + 0 + (-6 - -2) - 4?
0
(-5 - -14) + -7 + (-1 - 1)
0
What is -3 - (5 + -8 + 4)?
-4
Calculate -4 - (-10 + 0 - -3).
3
What is the value of -2 + (-14 - -1) + 10?
-5
What is the value of 6 + -4 + 1 + 3 + -6?
0
Calculate -5 + (-2 - -5 - 2) + 10.
6
Calculate -4 - (-26 - -10) - 10.
2
Evaluate -7 - -12 - (1 + -1 + 5).
0
(6 - 7) + -9 + 9
-1
What is -9 + (-3 - -7) - (3 + -5)?
-3
Evaluate -5 + -2 + 5 + 1 - -7.
6
What is -3 + 3 + 0 + 3 + -8?
-5
What is the value of 3 - (5 - 0) - (0 + -5)?
3
Calculate 21 + -31 + (1 - -5).
-4
1 - (1 - -3) - (169 - 171)
-1
6 + 4 + 4 + -13
1
What is the value of 3 - -3 - (-4 - -9 - 4)?
5
Calculate (10 - 1) + 1 + -16.
-6
What is 5 - (0 - -10) - 0?
-5
Calculate 0 - (-2 + 4) - -6.
4
(-1 - (-3 + 0) - 3) + -3
-4
12 + -7 + -7 + 6 + 3
7
Evaluate 15 + -19 - (-6 - 0).
2
Evaluate (16 - 11) + 1 + -3 + 2.
5
Calculate -1 - (-6 - (3 + -5)).
3
Evaluate -3 + 1 + -2 + 2 + -1.
-3
0 - (0 + 6 + 1 + -4)
-3
Calculate -1 + 0 + 6 - (42 - 33).
-4
Evaluate 8 + -20 - (-16 + 6).
-2
What is 7 + 0 + 3 + -6 - -1?
5
What is 53 + -59 - (-1 - (0 + -1))?
-6
Evaluate -5 + (11 - (5 - 5)) + -10.
-4
(0 - 0) + 32 + -35
-3
What is 4 + -3 + -12 + 4 + 3?
-4
What is the value of 2 + 2 + -5 + 5 - 5?
-1
Evaluate -6 + 1 - (-262 + 254).
3
Evaluate 1 + (10 - 16) - (1 + -6).
0
What is the value of 2 + -1 + 11 + -14 + -2?
-4
-5 + 1 - (-257 - -251)
2
4 + (-8 - -12) - (-1 + 16)
-7
What is the value of 9 + -9 + -8 + 12?
4
(0 - 2) + -1 - (6 - 4)
-5
Evaluate 2 - ((8 - 0 - 2) + -1).
-3
What is 6 - 0 - (-167 + 171)?
2
-4 - (1 + 7 + -7)
-5
-13 + 1 + 5 - -5
-2
3 - (-3 + 6 + -1)
1
What is 12 + (-3 - 4) - (4 + 0)?
1
What is -3 + 4 + (2 - (4 + 0))?
-1
Calculate 0 - 2 - 0 - (9 - 6).
-5
9 + -5 - (-2 + 5 + -2)
3
Calculate 1 + 2 + -4 + -1.
-2
What is the value of 1 - (3 + -5 + -6)?
9
Evaluate -12 - (-9 - (7 + -8)).
-4
Evaluate 1 + -7 + -3 - -10.
1
0 + 2 + -3 + (-4 - -2)
-3
What is -1 - (1 - -2) - -4?
0
What is the value of -2 - (6 + -1 - (-1 - -5))?
-3
Calculate 6 - 4 - (0 - -3 - 3).
2
What is (-20 - -18) + (-2 - -1) + 9?
6
What is the value of 4 + -1 - (60 - 57)?
0
What is the value of -1 - (-2 + 2 + -2 - 1)?
2
-6 + -4 + 7 + -2
-5
Evaluate 4 + -3 - 5 - -1.
-3
Calculate 3 + (3 - (3 - -1)) + 3.
5
Evaluate 0 - 4 - (-1 + -7 + 3).
1
What is 10 + (6 + -9 - 2) - 6?
-1
What is the value of (25 - 33) + -1 + 2 + 2?
-5
What is the value of (12 + 1 - (2 - 0)) + -5?
6
What is the value of 6 + (-4 + 9 - 11)?
0
-1 - (-1 + (2 - 2) + 5)
-5
6 - (-5 - (-7 - -4) - -3)
5
Evaluate 21 + -7 + -4 - 13.
-3
-1 + 3 - ((10 - 13) + 5)
0
What is the value of -15 + 4 + -6 + 16?
-1
What is the value of -8 + 4 + 1 + (0 - -7)?
4
What is the value of -10 - -20 - (-1 + 14)?
-3
What is the value of (-6 + 6 - 6) + 4?
-2
What is the value of -1 - -2 - -2 - (8 + -6)?
1
What is the value of 26 - 39 - (1 + -8)?
-6
What is the value of -5 - (-14 - (-2 - 3))?
4
3 + (-2 - (1 - -3)) - -2
-1
Evaluate 3 - 0 - (1 - (-3 + 0)).
-1
Evaluate -30 + 18 + 15 + -6.
-3
-3 + 6 - (1 - -6)
-4
-5 + (4 - 1) + (-5 - -9)
2
What is 0 - 6 - (2 + -1 + -3)?
-4
4 - ((-4 + 7 - -3) + 1)
-3
What is the value of (-3 - -6 - 7) + 16 + -9?
3
What is the value of -5 - -11 - -1 - -1?
8
What is 10 - 3 - (-28 - -45)?
-10
What is -14 + (0 + 3 - -7)?
-4
8 + (-8 - 0 - 0)
0
-10 - (-6 + 0) - -6 - 3
-1
What is -4 - (10 + (-16 - -3))?
-1
Calculate -2 + 2 + 3 + 1 - 7.
-3
-5 - ((0 - 5) + -15 + 11)
4
What is -2 + 14 + -4 + 1 + -5?
4
2 - 0 - 3 - (-1 + -7)
7
Calculate -1 + (-6 - -5) + 5.
3
Calculate 1 - (5 - (-5 + 2 + 5)).
-2
What is 3 - (9 + -5 - 1)?
0
Calculate -2 - -16 - (12 - 3).
5
What is -2 + (1 - 1 - -1)?
-1
Evaluate -6 - (1 + (3 - 4 - 2)).
-4
-4 - 1 - (69 - 77)
3
What is 6 + (-3 - (12 - 20))?
11
15 + -7 + 4 + -11
1
What is the value of -4 + 0 + 5 + -6?
-5
1 + (-4 - (2 + 0))
-5
Evaluate 1 - (-7 - (-2 + -5)).
1
What is (1 - (1 - (-2 + 3))) + 1?
2
Calculate -5 + -1 + (4 + 8 - 1).
5
What is (7 - (-3 - -2)) + -21 + 15?
2
Evaluate (9 - (-6 - -9)) + -2.
4
Calculate (0 - (-4 - 3)) + -2.
5
What is the value of -2 + (-5 - -7) + -3?
-3
Calculate -1 - 1 - (8 - 4 - -1).
-7
Evaluate 1 - ((3 - 0) + -5).
3
-1 + (-4 - -7 - 1 - -2)
3
What is -5 + 0 - (-24 - -19)?
0
What is (-13 - (6 - 14)) + 1?
-4
Calculate -10 + -5 + -2 + 0 + 9.
-8
Evaluate -2 + 6 + -3 + -5.
-4
Calculate (6 - -2 - 1) + -4.
3
Evaluate -6 - 6 - -7 - -1.
-4
-6 - (6 + -8 - -1)
-5
0 - (0 - -3 - (0 - 1))
-4
What is 2 + -5 + -2 - (184 - 192)?
3
Calculate 11 + -6 - 8 - (0 + 1).
-4
What is 5 - 11 - -4 - (0 - -1)?
-3
Evaluate -6 - 2 - (-35 + 31).
-4
-14 + 1 - (-17 + 12)
-8
What is the value of 8 - (18 + -8 + -9)?
7
What is (-7 - 0) + -5 + (-12 - -22)?
-2
(1 - (1 - -1)) + (-5 - -10)
4
What is the value of (10 - (1 + 2)) + -5 + 3?
5
Evaluate 12 + -7 + 10 + -8.
7
Calculate (-6 - 0) + (35 - 32).
-3
-8 + 10 + 5 + -9
-2
What is the value of -1 + -2 - (-7 + (-8 - -10))?
2
Evaluate -8 - -6 - -7 - (-6 - -11).
0
Evaluate 76 - 72 - (-1 - -5).
0
What is -4 + -4 + 6 + -2 + 4?
0
(2 - (11 - 2)) + -32 + 33
-6
Evaluate -4 + -3 + -9 + 7 + 0.
-9
What is (0 - -1) + -7 + 6?
0
-9 + 4 - (-6 + 4 + -2)
-1
Evaluate 4 + -7 + -4 + 7.
0
Evaluate -3 + (13 - 7 - 2).
1
-2 + -7 + (3 - (-3 - 1))
-2
9 + -7 - (2 - 1 - 1)
2
Evaluate 2 - 1 - (-6 - (-15 - -6)).
-2
What is the value of (-1 - -2) + (1 - -7) + -8?
1
What is -2 - (1 + (-2 - 3 - -8))?
-6
Eva


ppose -4*s - 3 + 6 = 5*y, -2*y + 3*s = -15. Suppose 4*h - 56 = -o + y, 2*h + 383 = 5*o. Is 15 a factor of o?
True
Suppose -5*n - 1 + 14 = r, -5*n = -5*r + 5. Suppose 2*y - 4*p = -710 + 3514, 3*y - 4166 = -n*p. Is y a multiple of 24?
True
Let v(r) = r**3 - 8*r**2 - 34*r + 13. Let f be v(11). Is 10 a factor of 17510/374 - f/(-11)?
False
Suppose 1152 = 5*m + 4*t, -m + 99 = 2*t - 129. Let r(y) = 2*y**2 - 3*y**2 + m - 201 + 0*y**2 - 16*y. Does 14 divide r(-13)?
True
Suppose 295*d - 292*d = -2*x + 101334, -3*d - 4*x + 101346 = 0. Is 276 a factor of d?
False
Suppose -298*c = -19*c - 2161971. Is c a multiple of 27?
True
Let s be ((-8)/(-40))/(46/103270). Suppose -r + 2*r - 1933 = 0. Suppose s = -7*k + r. Is 14 a factor of k?
False
Suppose -5*z + 16 = -4*a - 8, 4*a = -3*z + 8. Is 44 + -5 + (-12)/a + -1 a multiple of 25?
True
Let n(z) = -z**2 + 2. Let q be n(-3). Let c be ((-1)/(-7)*-3)/(1/q). Suppose c*h - 88 = h - r, -4*h + 5*r = -176. Is 22 a factor of h?
True
Let g = -72 + 61. Let q(x) = -9*x - 15. Let b be q(g). Suppose 4*f - 3*f = b. Does 19 divide f?
False
Let i(t) be the third derivative of t**7/840 + t**6/180 + t**5/20 - 14*t**2. Let s(l) be the third derivative of i(l). Is s(22) a multiple of 14?
False
Let z = -11311 + 22605. Is z a multiple of 58?
False
Let w(x) = x**3 - x**2 + 3*x - 3. Let z be w(2). Let a be 1 + (4 - z) + 42. Is (a/2)/(-5) - -14 a multiple of 6?
False
Does 71 divide 71152/12 + -4 + ((-48)/(-18) - 3)?
False
Suppose -2*j + 47 = r, -5*j + 0*r + 155 = -5*r. Suppose -29*d + j*d + 618 = 0. Does 29 divide d?
False
Suppose -6*z = -7*z + 7. Let h(r) = -9*r + 109. Is 7 a factor of h(z)?
False
Let z(s) be the third derivative of s**5/60 - s**4/8 - 13*s**3/6 + 43*s**2. Let u = -31 + 24. Does 19 divide z(u)?
True
Suppose -4*n - 4*f + 209 = f, 0 = 2*f - 2. Let k be -4*5/10 - (1 + 3). Is 8 a factor of n + (-6)/(-4 - k)?
True
Let t(w) = 402*w**2 - 184*w + 742. Is 174 a factor of t(4)?
True
Let a = -304 - -309. Suppose -100 = 9*v - 11*v - a*c, 0 = -2*v - 4*c + 96. Is v a multiple of 3?
False
Let d = -785 - -552. Let b = 18 - d. Does 11 divide b?
False
Suppose 5*p = 4*x + 5, -2*x = -7*x - 4*p + 45. Suppose -4*j + 422 = x*d, -3*j + 2*d = 4*d - 320. Does 18 divide j?
True
Suppose -n - g = -6, 5*g - 2*g - 10 = n. Suppose -n*v = -11*v + 8811. Does 69 divide v?
False
Suppose -21*o = -30010 - 42860. Is 69 a factor of o?
False
Suppose -5*g + 198793 = -4*r, 5*g + 3*r = -g + 238536. Is 38 a factor of g?
False
Suppose 4*h + 185*c - 74908 = 183*c, -3*h + 2*c + 56160 = 0. Does 151 divide h?
True
Suppose -7*g + 2*s + 75651 = 0, -348*g + 344*g = 2*s - 43204. Is g a multiple of 15?
False
Suppose -4 - 25 = -3*y - 2*l, 4 = -2*l. Suppose -y*x = -1237 - 1557. Is x a multiple of 10?
False
Let s = 19 - 7. Let z(p) be the third derivative of p**4/24 + 5*p**3/2 - 36*p**2 + p. Is 6 a factor of z(s)?
False
Suppose 3*v - 85 = 2*j + 2*v, 41 = -j - v. Let h be 6/j + (-183)/(-7). Suppose k - h = -0*k. Does 13 divide k?
True
Let r be -12*((-4)/(-6) + 2) + 1. Let m = r - -39. Let z = 22 - m. Does 5 divide z?
False
Is 45 a factor of 2/(-5) - ((-1152372)/130 + 0 + -1)?
True
Let x(h) be the second derivative of -h**4/6 - h**3 + h**2 - 30*h. Let b be x(-2). Suppose -2*t + b*t + 4*k = 396, -5*t + 545 = -5*k. Does 8 divide t?
True
Let f(s) = s**2 - 27*s + 107. Let l be f(5). Is (-1)/(l/126)*(-36)/(-14) a multiple of 5?
False
Let l = -214 + 217. Suppose m - l*m = 4*c - 292, -4*c - 16 = 0. Is m a multiple of 5?
False
Does 146 divide (-2)/6 + 10*(-39359)/(-15)?
False
Suppose -n - c = -15185, 4*n + c - 3*c = 60698. Does 28 divide n?
False
Let j = 1291 - 891. Suppose 50*n - 51*n = -j. Is n a multiple of 40?
True
Let c(j) = 3*j**3 - 7*j**2 - 6*j - 4. Let h be ((-2)/(-5))/(2/(-20)). Let k be c(h). Let u = k + 494. Is 15 a factor of u?
True
Suppose -4*z = -2*a - 61940, 2*z + z - 46512 = -8*a. Is 32 a factor of z?
True
Let t be 4/4*3*1. Suppose -38*r + 445 = 141. Suppose -280 = -r*f + t*f. Is 7 a factor of f?
True
Let s be (-8)/(-10) - (-16)/80. Does 19 divide 58 - 5 - (s + -5)?
True
Let r(o) = -12*o**3 + 21*o**2 - 10*o - 45. Does 110 divide r(-7)?
True
Let n = -39 + 55. Suppose -n = d + 10. Let q = 13 - d. Does 39 divide q?
True
Let n be (-176)/(2/4*-1). Let k be (3 + 0 - n/6)*-3. Suppose -4*r = -0*i - 2*i - 358, -3*i + k = 2*r. Is 13 a factor of r?
False
Let y(b) = 311*b + 605. Is y(9) a multiple of 37?
True
Suppose 39*z - 71*z = -45*z - 6201. Let d be (-4)/(-6) + (-2077)/(-3). Let v = z + d. Is 29 a factor of v?
False
Let a(z) = -8*z**3 - 22*z**2 + 80*z + 22. Is 11 a factor of a(-11)?
True
Let g(m) = -m**3 - 7*m**2 - 13*m - 23. Suppose 0 = 5*i + 62 - 17. Does 32 divide g(i)?
True
Suppose -117*x - 8298 = -120*x. Let c = x + -1848. Does 51 divide c?
True
Let r be 6 + -4 - 0 - 66. Is 20 a factor of (-20 - r)*50/8?
False
Let x be -1*(-7 - -5)*-1. Let i be 12/(-36) - x/6. Suppose -170 = -p - 4*p - 5*v, p - 5*v - 34 = i. Is p a multiple of 17?
True
Let u(g) = 5*g**2 + 4*g + 46. Let k be u(7). Does 11 divide k - (-15 - (-2 + -5))?
False
Is 4035 - (-1*(-16)/(-4) - 4) a multiple of 18?
False
Suppose -r - 83 = b, 2*b + 174 = 2*r + 12. Let t = 169 + b. Suppose t*i = 91*i - 380. Does 15 divide i?
False
Suppose 0 = 2*f + f + 2*n - 10, -f - 2*n + 6 = 0. Suppose 0 = f*z - 5*i - 26 - 307, i - 315 = -2*z. Is 13 a factor of z?
False
Let d(z) = z**3 + 29*z**2 - 22*z - 266. Is 16 a factor of d(-25)?
True
Let m(u) = -4*u**3 + u**2 + 50*u + 10. Is 38 a factor of m(-10)?
True
Let r(i) = i**2 - 17*i - 15. Let v be r(19). Let x(k) = -k**2 + 28*k - 32. Let q be x(v). Suppose b - 43 = -3*u + q, 0 = -b - u + 116. Is b a multiple of 12?
False
Suppose 479 = -4*m + 495. Suppose 746 = 3*t + m*c, 2*t + 5*c - 502 = -0*c. Does 3 divide t?
True
Let j be 251 - (3 + 0 - -3). Suppose -d + 39 = 3*p, j = -6*d + 11*d + 5*p. Is 3 a factor of d?
True
Let l(p) = p**3 + 4*p**2 + 3*p + 1. Let s be l(-2). Is (-3 + (-175)/2)*-2 + s a multiple of 4?
True
Let u = -12 - -38. Let n = 29 - u. Is (n - (-10)/(-4)) + (-453)/(-6) a multiple of 33?
False
Is (9 + -4)*1270/25 a multiple of 40?
False
Let v(u) = 41*u + 233. Does 12 divide v(11)?
True
Let r be (-38)/(-14) - 18/(-63). Suppose 3*m + n - 52 = 0, -m - 5*n = r*m - 73. Suppose 3*t - 4*s = 18, -5*s = 3*t - 8 + m. Is t a multiple of 2?
True
Let z(l) be the third derivative of l**5/15 - l**4/6 - 4*l**3/3 - 58*l**2. Is 8 a factor of z(-3)?
True
Let b be (1 + (-614)/14)/((-6)/567). Suppose 0 = -6*z - 4*z + b. Let s = z + -269. Does 34 divide s?
True
Suppose u - 799 = a - 3109, -5*u + 11550 = 5*a. Is a a multiple of 15?
True
Suppose -g = 3, 0 = 3*q - 3*g + 8*g + 6. Suppose 2*i + 249 = q*d, 3*i = -2*d + 179 - 0. Is d a multiple of 12?
False
Let z = 13 - 107. Let x(h) = 41*h + 10. Let c be x(3). Let a = z + c. Is a a multiple of 7?
False
Let p(r) = -r**2 + 2*r + 1. Let f be p(3). Is 71 a factor of ((-1)/f)/((-1)/(-222))?
False
Suppose 23*j - 3500 = 21*j. Suppose 9*z = 23*z - j. Does 13 divide z?
False
Let b(n) = 2*n**2 + 4*n + 3. Let o be b(-2). Suppose 0 = -o*l - 10*l + 4290. Is l a multiple of 66?
True
Let l be (-10)/35 + -1 + (-90)/(-21). Suppose 364 = i + l*j - 314, i - 4*j - 664 = 0. Is i a multiple of 24?
True
Let g(r) = -2*r**2 + 26*r + 23. Let j(i) = -3*i**2 + 39*i + 35. Let o(u) = -7*g(u) + 5*j(u). Let q be o(8). Suppose -q - 726 = -6*t. Is t a multiple of 13?
True
Let q be (-33099)/204 + 5/4. Let v = q - -201. Is v a multiple of 9?
False
Let o(r) = r**2 - 10*r - 7. Let t be o(11). Suppose -l = -3*l + t. Suppose -l*s + 13*s - 1716 = 0. Does 39 divide s?
True
Suppose 64 = -3*g + g. Let z = g + 35. Suppose -z*k - 508 = -5*t + k, 3*t + k - 298 = 0. Is t a multiple of 24?
False
Let w be (30/(-55))/(3/(-22)). Suppose 9*x - n = 7*x + 3398, -w*x + 6798 = -n. Is x a multiple of 50?
True
Let u be (-43)/2*(12 + (-12 - 2)). Let d = u + 177. Is 10 a factor of d?
True
Suppose 3*a = -4*a + 10752. Suppose -a = -2*o - 2*o. Suppose -6*y - 78 + o = 0. Does 8 divide y?
False
Let g be (-2 + 0)*(-2 - -15). Let q = g + 32. Let i(d) = 14*d. Does 12 divide i(q)?
True
Let l(f) = -f**3 - 8*f**2 - 17*f - 7. Let u be l(-5). Suppose -3*q + 2*m + 44 = -q, u*q - 4*m = 69. Is q even?
False
Suppose 58 = 9*t + 31. Suppose 0 = t*z + 2*z + 5. Is 11 a factor of (12/(-28))/z - 302/(-14)?
True
Let x(l) = 3*l**2 - 2*l.


vative of a**3/3 + 2. Give m(g(p)).
5*p**4
Let o(a) = a. Let g be ((-14)/14)/((-1)/2). Suppose 6 = 5*q + 2*u, -2*u = -q - 2*q + 10. Let n(w) = -5*w**2 + 5*w**g - 2*w**q. Calculate n(o(r)).
-2*r**2
Let q(u) be the third derivative of u**5/60 - 19*u**2. Let h(i) = -21*i**2. Give h(q(f)).
-21*f**4
Let a(c) = 99*c. Let l(b) = b**2. Calculate a(l(s)).
99*s**2
Let a(g) = -2*g. Let z(r) = -5*r + 59*r + 13*r. Give a(z(n)).
-134*n
Let i(m) be the second derivative of -m**3/3 - m. Let n(u) be the third derivative of -5*u**4/12 - 21*u**2. Determine n(i(s)).
20*s
Let m be (-1 + 0)*-1*2. Let i(o) = -4*o**2 + m*o**2 + o**2. Let p(l) be the third derivative of l**4/12 - l**2. What is i(p(k))?
-4*k**2
Let t(f) = -f. Let r(k) be the second derivative of 4*k**3/3 + 5*k. What is r(t(y))?
-8*y
Let a(c) = c**2. Let x(z) = z**2 + 8*z - 9. Let d be x(-9). Let o(b) be the third derivative of 0 + 0*b**4 + d*b**3 - 3*b**2 + 0*b + 1/60*b**5. What is o(a(m))?
m**4
Let p(r) = 2*r**2. Let f(b) be the third derivative of 3*b**5/10 - b**4/12 + 14*b**2. Determine p(f(t)).
648*t**4 - 144*t**3 + 8*t**2
Let w(v) = v. Let r(d) be the second derivative of -d**4/12 - 2*d**3/3 + d. Calculate r(w(t)).
-t**2 - 4*t
Let x(m) = -m. Let n(z) be the third derivative of -5*z**4/24 + z**2. Let y be 33/(-2 - -5) + 0. Let g(b) = 9*b. Let v(p) = y*n(p) + 6*g(p). Calculate v(x(q)).
q
Let y(n) = 6*n. Let g(t) be the second derivative of -t**6/360 - t**4/3 - 5*t. Let b(a) be the third derivative of g(a). Determine b(y(c)).
-12*c
Let w(l) = 3*l - 147 + 75 + 72. Let i(x) be the second derivative of x**3/6 + x. Determine i(w(b)).
3*b
Let z(k) = -3*k. Let l(u) be the first derivative of u**3 - 11. What is z(l(y))?
-9*y**2
Let n(z) = -78*z - 78*z + 154*z. Let v(u) be the third derivative of -u**5/60 + u**3/6 - u**2. Let j(c) be the first derivative of v(c). Give j(n(f)).
4*f
Let f(a) = 8*a**2 + a. Let o(m) be the first derivative of -2*m**3/3 - 11. Give o(f(j)).
-128*j**4 - 32*j**3 - 2*j**2
Let x(k) = 8*k**2 - 9*k**2 + 4*k**2. Let j(a) = -3*a**2. Give x(j(c)).
27*c**4
Let t(q) = 6*q**2. Let i(m) = -2*m - 5. Determine i(t(s)).
-12*s**2 - 5
Let r(k) = -12*k + k**2 + 12*k. Let t(v) be the first derivative of v**4/12 - 2*v**2 + 2. Let n(i) be the second derivative of t(i). Give n(r(j)).
2*j**2
Suppose 2 + 2 = 2*d. Let s(t) = -d*t - 5 + 5. Let p(x) = 2*x. Give s(p(i)).
-4*i
Let q(m) = m**2 - 3*m**2 + 0*m**2. Let d(y) = -3*y. Give q(d(n)).
-18*n**2
Let w(v) = 47585*v**2. Let c(x) = -2*x. Calculate c(w(o)).
-95170*o**2
Let v(z) = -12*z. Let b(k) = 1 - 152*k + 150*k - 1. Give b(v(h)).
24*h
Let s(j) = -5*j**2 + j**2 + 0*j**2. Let f(t) = -2*t**2. Give s(f(w)).
-16*w**4
Let b(t) = -t. Suppose -y + 3*y + 4*h = 8, -5*h + 5 = 0. Let f(p) = -4*p**2 - p**2 + p**y. Calculate b(f(n)).
4*n**2
Let g(s) = -147*s**2 - 1. Let a(t) = -t. Calculate a(g(l)).
147*l**2 + 1
Let o(n) = 2*n**2. Let i(s) be the second derivative of s**4/12 - 27*s. Give i(o(g)).
4*g**4
Let h(j) = -2*j**2 - 11*j. Let z(d) = d. Let t(n) = -4*h(n) - 44*z(n). Let k(o) = 2*o. Determine k(t(a)).
16*a**2
Let s(p) = 14*p**2 - 4*p. Let f(m) = 13*m**2 - 5*m. Let y(u) = 4*f(u) - 5*s(u). Let r(t) = -2*t**2. Determine y(r(c)).
-72*c**4
Let w be (-3)/6 + (-6)/(-4). Let u(r) = 2*r. Let x(a) = -a. Let s(y) = w*u(y) + 3*x(y). Let k(i) = i. Give s(k(t)).
-t
Let p(b) = 2*b. Let m = 19 + -11. Let h(c) = -2*c**2 + m*c**2 - 2*c**2. Calculate p(h(v)).
8*v**2
Let d(f) = 7*f**2. Let s(n) = -15*n**2 - 1. Determine d(s(x)).
1575*x**4 + 210*x**2 + 7
Let z(m) = m + 1. Let l(u) = 7*u + 4. Let o(f) = -4*f - 2. Let j(r) = 6*l(r) + 10*o(r). Let k(y) = -j(y) + 4*z(y). Let s(d) = 2*d. Calculate s(k(b)).
4*b
Let r(w) = 3*w**2 + 5*w - 5. Let s(i) = -2*i**2 - 3*i + 3. Let y(q) = -6*r(q) - 10*s(q). Let f(b) = 37*b. What is f(y(c))?
74*c**2
Suppose -2*w - 10 = -7*w. Let d(m) = -4*m**2 + 4*m**2 + 0*m**w + m**2. Let q(f) = f. Give d(q(n)).
n**2
Let s = -18 - -18. Let w(t) be the second derivative of 0*t**2 + 2*t + s + 0*t**3 + 1/6*t**4. Let g(o) = -3*o. Calculate w(g(u)).
18*u**2
Let j(w) = -9*w**2. Let a(t) be the second derivative of t**3/6 - 42*t. Give a(j(q)).
-9*q**2
Let m(z) = 1217*z**2. Let g(o) = 2*o. Determine g(m(f)).
2434*f**2
Let i(u) = 176*u**2. Let b(l) = 3*l**2. Determine i(b(f)).
1584*f**4
Let s(a) = -a**2 + 5*a + 5. Let p(g) = -g - 1. Let r(l) = 5*p(l) + s(l). Let v(w) = 2*w**2 - 2*w + 2*w + 0*w**2. Give v(r(z)).
2*z**4
Let h(x) = -7*x**2. Let f(g) be the first derivative of 2*g**3/3 - 4. Calculate f(h(b)).
98*b**4
Let z(y) = 3*y**2 - 2*y**2 + 0*y**2. Suppose 2*s - 4 + 0 = 0. Let x(b) = 5*b**2 - b**s - 2*b**2. Determine z(x(t)).
4*t**4
Let s(o) = -33*o. Let j(t) = -t. Determine s(j(m)).
33*m
Let b(r) = -3*r**2 + 4*r**2 + 0*r**2. Let u(n) be the second derivative of -4*n + 0*n**2 + 1/3*n**3 + 0. Give b(u(q)).
4*q**2
Let a(b) = -2*b. Let l(k) = 0*k**2 + 3*k**2 - 4*k**2. Give l(a(n)).
-4*n**2
Let p(v) = -12*v + 24*v - v**2 - 12*v. Let s(m) = 4*m**2. Give p(s(z)).
-16*z**4
Let p(r) = -2*r. Let c(b) be the second derivative of -b**6/720 - b**4/12 + 2*b. Let t(z) be the third derivative of c(z). Give t(p(m)).
2*m
Let f(d) = -d**2. Let o(y) = 0*y - 14*y - 12*y + 3*y. Calculate f(o(q)).
-529*q**2
Let n(s) = -2*s. Let g(d) = 3*d**2 + 4065*d. What is g(n(j))?
12*j**2 - 8130*j
Let v(w) = -w. Let q(g) = 360*g**2. What is v(q(l))?
-360*l**2
Let l(q) = 283*q + 294*q - 574*q. Suppose 0*g + g - 2 = 0. Let n(a) = 0*a**2 + g*a**2 + 0*a**2. What is n(l(c))?
18*c**2
Let y(k) = -5*k**2. Let m(q) = -8*q. Let v(i) = -12*i. Let z(c) = 8*m(c) - 5*v(c). Determine z(y(t)).
20*t**2
Let l(s) be the third derivative of s**4/24 - s**3/3 - s**2. Let a(y) = 2*y - 5. Let h(z) = -2*a(z) + 5*l(z). Let d(f) = -f - 3*f + 2*f. Determine h(d(c)).
-2*c
Let p(n) = -1. Let h(j) = j**2 + 2*j - 5. Let i be h(-4). Let k(o) = 2*o - 2 - i + 3. Let m(l) = k(l) - 2*p(l). Let s(x) = -2*x. Determine s(m(v)).
-4*v
Let q(k) be the first derivative of -k**2 - 6. Let m(d) = 3*d**2 + 2*d + 2. Let n(o) = 13*o**2 + 9*o + 9. Let s(w) = 18*m(w) - 4*n(w). Determine s(q(y)).
8*y**2
Let m(a) = -8*a. Let w(f) = -2*f - 2. Let n(z) = -4*z - 5. Let q(x) = 2*n(x) - 5*w(x). What is q(m(u))?
-16*u
Let u(t) = -161*t**2. Let d(f) = -7*f. Give u(d(w)).
-7889*w**2
Let k(c) be the first derivative of -5*c**3/3 - 1. Let o(f) = 5*f. Determine k(o(q)).
-125*q**2
Let q(n) = 2*n**2 - 3*n**2 - 4*n**2. Let s(i) = 12*i**2. Calculate q(s(o)).
-720*o**4
Let s(f) = 2*f**2. Let m(h) = 2*h - 7. Let z(u) = 3*u - 11. Let y(d) = -8*m(d) + 5*z(d). Let r(j) = -8*j + 6. Let o(g) = r(g) - 6*y(g). Determine s(o(c)).
8*c**2
Let z(g) = 0*g + 0*g + 2*g - 4*g. Let s(v) = -7*v**2. Calculate z(s(c)).
14*c**2
Let h(v) = 2*v**2. Let i(j) = -30*j**2 + 69*j + 2. Give i(h(z)).
-120*z**4 + 138*z**2 + 2
Let m = 8 - 6. Let u(n) = 4*n**m - 5*n**2 + 2*n**2. Let t(r) = -3*r**2. What is u(t(x))?
9*x**4
Let g be ((-2)/1)/(4/(-14)). Let l(r) = 3 - g + 1. Let o(f) = -f**2 - 1. Let m(d) = l(d) - 3*o(d). Let b(z) = -z. What is m(b(u))?
3*u**2
Let t(q) = -2*q. Let r(j) be the third derivative of -j**5/15 - 2*j**2. Calculate t(r(c)).
8*c**2
Let q(l) = -3*l**2. Let y(z) = 5*z**2 - 1 + 1 - 4*z**2. What is y(q(h))?
9*h**4
Let u(n) be the first derivative of -7*n**3/3 + 3*n**2/2 - 3. Let q(m) = 15*m**2 - 7*m. Let i(c) = 3*q(c) + 7*u(c). Let o(z) = -2*z. Determine o(i(g)).
8*g**2
Let y(n) = 4*n. Let o(k) = -213*k**2. Calculate y(o(d)).
-852*d**2
Let i(o) = 3*o. Let t(k) = -k - 4. Let u be -4*(-2 + (2 - -1)). Let f(y) = 3. Let g(d) = u*f(d) - 3*t(d). Give i(g(v)).
9*v
Let v(h) = 0*h**2 + 0*h**2 + 6*h**2 - 2*h**2. Let y(q) = 3*q. What is y(v(s))?
12*s**2
Let q(x) be the first derivative of -5*x**3/3 + 3. Let w(v) be the third derivative of -v**4/24 + 2*v**2. Give q(w(b)).
-5*b**2
Let m(n) = 0*n**2 + 2*n**2 + 2*n**2 + 0*n**2. Let a be (2/6)/((-4)/(-24)). Let l(p) = 3 - 3 - p**a. What is l(m(b))?
-16*b**4
Let b(r) be the second derivative of 17*r**4/12 - 22*r. Let x(v) = v. What is b(x(c))?
17*c**2
Let p(n) = -n - 3 - 1 + 4*n - 4. Let x(l) = -2*l + 5. Let c(u) = 5*p(u) + 8*x(u). Let w(o) = -1 + 1 - 3*o**2. Give c(w(j)).
3*j**2
Let y(z) = 18*z**2. Let g(k) = -k**2 - k. Let n(x) = 5*x**2 + 4*x. Let s(m) = -4*g(m) - n(m). Give s(y(b)).
-324*b**4
Let v(d) = 2*d**2 - 7*d**2 + 7*d**2. Let j(c) = c**2. Giv