(u) = u. Calculate a*w(z) - 2*k(z).
3*z - 2
Let g(f) = -13*f**2 + 4*f + 4. Let p(w) = 27*w**2 - 6*w - 9. What is 9*g(q) + 4*p(q)?
-9*q**2 + 12*q
Let c(u) = -u**2 + u. Let h(b) = -b**2 - 3*b - 2. Let x(q) = 15*q**2 + 137*q + 16. Let y be x(-9). Give y*c(w) + h(w).
w**2 - 5*w - 2
Let f(h) = -63*h - 518. Let p(d) = 40*d + 344. What is -5*f(o) - 8*p(o)?
-5*o - 162
Let t(l) = -l + 1. Let f(k) be the second derivative of 5*k**3/3 - 4*k**2 - 149*k. Suppose -14 = 12*h + 2*h. What is h*f(u) - 6*t(u)?
-4*u + 2
Let o(w) = -3*w + 2. Let y(i) = 1. Let t(h) = h + 9. Let c be t(-8). Let s be 3*-1 + (-29 - -6). Let d = s - -22. What is c*o(g) + d*y(g)?
-3*g - 2
Let w(c) = -4*c - 15. Let n(h) = 9*h + 30. Let j = -3070 - -3068. What is j*n(r) - 5*w(r)?
2*r + 15
Let t(x) = -29*x**2 + 5*x - 5. Let b(a) = -27*a**2 - 4. Determine -5*b(g) + 4*t(g).
19*g**2 + 20*g
Let y(m) = -7*m - 1. Let o = 32 + 14. Let a = 48 - o. Suppose 0 = -2*s - a - 10. Let r(j) = 6*j + 1. What is s*r(b) - 5*y(b)?
-b - 1
Let p(z) = 6*z**3 + 6*z + 6. Let v be (-132 - -3) + -4 + -3. Let y be (-374)/v*(2 - 6). Let n(d) = -13*d**3 - 11*d - 11. What is y*p(f) - 6*n(f)?
12*f**3
Suppose 106*h = -32*h + 531 - 1497. Let o(p) = -26*p**3 - 2*p + 5. Let r(k) = 39*k**3 + 3*k - 7. Calculate h*o(s) - 5*r(s).
-13*s**3 - s
Let z(a) = -1067*a**3 - 20*a**2 - 3*a + 6. Let d(h) = -710*h**3 - 14*h**2 - 2*h + 4. Calculate -7*d(i) + 5*z(i).
-365*i**3 - 2*i**2 - i + 2
Let l(u) be the first derivative of u**2 - u - 125. Let q(j) = j. Calculate l(f) - 3*q(f).
-f - 1
Let a(d) = -d**3 - 5*d**2 + 1955*d + 9763. Let p be a(-5). Let l(w) = -w. Let v be l(-5). Let q(j) = 23*j + 5. Let n(r) = 58*r + 12. What is p*q(z) + v*n(z)?
14*z
Let y(j) = 782*j - 7. Let g(p) = 780*p - 5. What is -4*g(k) + 3*y(k)?
-774*k - 1
Let x(f) = 4*f**3 + 5*f**2 + 2*f + 8. Let a(k) be the third derivative of k**6/120 + k**5/60 + k**4/24 + k**3/6 - 17*k**2 + 4. Determine 5*a(v) - x(v).
v**3 + 3*v - 3
Let l(m) = m - 6. Let c(n) = 3*n + 71. Let d(k) = 2*k + 59. Let f(p) = 4*c(p) - 5*d(p). Give 6*f(a) - 13*l(a).
-a + 12
Let h(m) = 9*m**3 - 5. Let r(w) = -13*w**3 + 8. Let f = -18651 - -18643. Calculate f*h(s) - 5*r(s).
-7*s**3
Let h(l) = 365*l**3 - 18*l**2 - 58*l - 6. Let n(j) = -j**3 - 3*j**2 - 10*j - 1. Determine h(f) - 6*n(f).
371*f**3 + 2*f
Let y(q) = 6*q**2 + 9*q - 8. Let f(g) be the first derivative of -2*g**3/3 - 3*g**2/2 + 3*g - 1655. Calculate 11*f(c) + 4*y(c).
2*c**2 + 3*c + 1
Let j(w) = -98*w - 12843. Let k be j(-131). Let u(s) = -12*s + 3. Let f(t) = 0 + 10*t - 2*t - 2. Calculate k*u(n) - 7*f(n).
4*n - 1
Let o(b) = -27*b**2 + 16*b**2 + 10*b**2 + 3 - 7. Let c = 2 + -2. Let g be o(c). Let j(d) = -2*d**2 - 3*d + 2. Let p(q) = -q**2 + 1. Determine g*p(l) + j(l).
2*l**2 - 3*l - 2
Let c(m) = 96*m**3 + 18*m**2 + 54*m - 8. Let s(w) = w**3 + 3*w**2 + 9*w - 1. Calculate c(j) - 6*s(j).
90*j**3 - 2
Let o(j) = 85*j + 35. Let l(s) = -5*s - 2. Suppose 89 = 2*n + 35. Let r be (7 - 3)*n/6. Let k = -20 + r. Give k*o(y) - 35*l(y).
5*y
Let u(q) be the first derivative of 1/2*q**2 + 105 + 2*q - 3/4*q**4 + 4/3*q**3. Let l(k) = -4*k**3 + 5*k**2 + 2*k + 3. Give 4*l(g) - 5*u(g).
-g**3 + 3*g + 2
Suppose 75*p - 470 = 130. Let a(u) = 43*u + 11. Let i(j) = 29*j + 7. Give p*i(b) - 5*a(b).
17*b + 1
Let a(y) = -7*y - 20. Let r(w) = -11*w - 39. Give -9*a(d) + 4*r(d).
19*d + 24
Let x(b) = 6 + 10 + 10 - 32. Let j(v) = -3*v - 7. Let a(q) = -q - 1. Let t(y) = -2*a(y) + j(y). Give -5*t(s) + 4*x(s).
5*s + 1
Let x be (6/27)/(1/18). Let p be (x + (-136)/40)*30*1. Let b be 6/p + 12/(-9). Let a(k) = k + 1. Let w(n) = -1. Determine b*w(r) - a(r).
-r
Let p(m) = 102*m + 31. Let i(z) = -528*z - 156. Calculate 10*i(o) + 52*p(o).
24*o + 52
Let q(t) = 6*t**2 - 2*t - 2. Let u(o) = -50*o + 702. Let z be u(14). Let h(w) = -24*w**2 + 9*w + 9. Determine z*h(p) + 9*q(p).
6*p**2
Let a(k) = 24*k. Let g(l) = -37*l - 71. What is -a(n) - g(n)?
13*n + 71
Let u(i) = -i**2 + i. Let f(b) = 13*b**3 - 3*b**2 + 3*b. Suppose 799 = -2*k + 4*l - 169, -3*k + 4*l = 1448. Let h = -483 - k. Calculate h*u(r) + f(r).
13*r**3
Let s(w) = -40*w**2 + 3*w + 3. Let m(n) = 879*n**2 - 91*n - 113. Let f(a) = 178*a**2 - 18*a - 22. Let d(x) = 11*f(x) - 2*m(x). What is 3*d(h) + 16*s(h)?
-40*h**2
Let o(l) = 40*l + 3. Let i(p) be the second derivative of -5*p**3/3 - p**2/2 + 5*p - 8. Determine -9*i(w) - 2*o(w).
10*w + 3
Let m(v) = v**2 + 29*v - 1044. Let p be m(-50). Let i(k) = -8*k**2. Let l(y) = 9*y**2. Determine p*l(f) + 7*i(f).
-2*f**2
Let u(b) = 165*b**2 - 2*b - 7. Let o(z) = -82*z**2 + z + 4. Give -7*o(i) - 4*u(i).
-86*i**2 + i
Let y(p) = -2*p**3 + 283*p**2 - 9*p + 3. Let i(a) = 3*a**3 - 566*a**2 + 15*a - 5. Calculate 3*i(w) + 5*y(w).
-w**3 - 283*w**2
Suppose -4*z + 28 = 3*h, -14*z - 32 = -17*z - 5*h. Let o(b) = 9*b - 7 + 9*b + 6*b**2 - z - 4*b. Let j(a) = 2*a**2 + 5*a - 4. Calculate 11*j(s) - 4*o(s).
-2*s**2 - s
Suppose 4*u = 2*u - 10. Suppose 0 = 3*k - 4*g - 52, -5*k = -3*k - 5*g - 23. Let d(q) = -2 + k*q - 18*q - 2. Let f(i) = -7*i + 5. Calculate u*f(y) - 6*d(y).
-y - 1
Let o(d) = 2*d**2 - 17*d + 18. Let y = -241 - -248. Let c be o(y). Let t(h) = -4*h - 1. Let m(g) = -5*g - 2. Determine c*t(w) + 2*m(w).
2*w - 1
Let r(p) = -27*p**2 + 22*p + 14. Let i(d) = 28*d**2 - 28*d - 14. Calculate -3*i(l) - 4*r(l).
24*l**2 - 4*l - 14
Let s(p) = -3*p**2 + 17. Let d = 11 + -17. Let n(m) = -24*m**2 - 16. Let q(o) = 29*o**2 + 18. Let x(z) = -6*n(z) - 5*q(z). Determine d*s(t) + 17*x(t).
t**2
Let n(d) = 3*d. Let q(x) = x**2 - 4*x. Let a = 90 - 78. Let t(p) = 3*p**2 - 40*p + 45. Let z be t(a). Calculate z*q(u) - 4*n(u).
-3*u**2
Let p be -19 - 8*(-12)/(-48). Let i(n) = 291*n + 21. Let d(s) = -29*s - 2. Give p*d(r) - 2*i(r).
27*r
Let r(d) = -d**2. Let h(o) = 7*o**2 - 5*o - 5. Let p(j) = -23*j**2 + 17*j + 17. Let b(y) = -34*h(y) - 10*p(y). Calculate b(t) + 4*r(t).
-12*t**2
Let n be 27/(-5) - 1*33/55. Let d(b) = 4*b - 1. Let u(s) = -2*s - 3*s + 8*s + 10*s - 3. Give n*u(f) + 17*d(f).
-10*f + 1
Let d(t) = -5*t + 11. Let n(r) = -3*r + 2. Let h(k) = 20*k - 12. Let j(f) = h(f) + 7*n(f). Suppose a = 3*a. Let b be 16/2 - a - 2. Give b*d(w) - 33*j(w).
3*w
Let v(y) = -15*y**3 + 606*y**2 + 17*y - 4. Let t(f) = -18*f**3 + 606*f**2 + 21*f - 5. Determine -4*t(j) + 5*v(j).
-3*j**3 + 606*j**2 + j
Let f(u) be the second derivative of -2*u**2 - 10 + 2*u - 1/3*u**4 + 1/3*u**3. Let q(g) = -g**2 + g - 1. Calculate 2*f(w) - 6*q(w).
-2*w**2 - 2*w - 2
Let s(y) = -15*y**2 - 12*y - 5. Let g(f) = -30*f**2 - 30*f - 9. Determine -3*g(u) + 7*s(u).
-15*u**2 + 6*u - 8
Let x(k) = 159*k - 84. Let s(v) = 32*v - 17. Calculate 11*s(p) - 2*x(p).
34*p - 19
Suppose -26*f = -23*f - 144. Suppose 3*x + f = 11*x. Let y(p) = 7*p - 2. Let u(m) = -8*m + 2. Calculate x*u(q) + 7*y(q).
q - 2
Let a be ((-210)/(-20))/(6/8). Let o(s) = 0 + 4 + 14 - a*s - 1. Let z(p) = -5*p + 6. Let l be (-1 - (-3 + 14 - 5)) + 3. What is l*o(k) + 11*z(k)?
k - 2
Let n(a) be the third derivative of a**5/6 - a**4/3 + a**3/6 + 91*a**2 - 6. Let y(r) = -7*r**2 + 5*r - 1. Calculate 5*n(x) + 8*y(x).
-6*x**2 - 3
Let f(z) = -23*z + 15. Let y be f(1). Let x be (-11)/((-22)/y) - -1. Let i(v) = -4*v - 8. Let d(c) = 2*c + 4. Determine x*i(l) - 7*d(l).
-2*l - 4
Let w(b) = 377*b + 1. Let c(v) = 333*v + 1. Give -3*c(f) + 4*w(f).
509*f + 1
Suppose 3*f - 15 = 27. Let v(i) = -i**3. Let x(n) be the third derivative of 0 + 0*n + 19*n**2 + 1/24*n**4 - 1/15*n**6 + 0*n**3 + 0*n**5. Give f*v(c) - 2*x(c).
2*c**3 - 2*c
Let s(t) = -2*t**3 - 35*t**2 + 22*t - 85. Let n(v) = v**3 + 19*v**2 - 12*v + 42. Give -9*n(l) - 5*s(l).
l**3 + 4*l**2 - 2*l + 47
Let t(f) = -1. Let a(x) = 37*x**2 + 3*x - 5. Give -a(u) + 4*t(u).
-37*u**2 - 3*u + 1
Let l(n) = 8*n**2. Let i(g) = -48*g**2 - 44 + 44 + 25*g**2. Let r be (-2 - 30/(-6)) + (-2)/(-2). Give r*i(q) + 11*l(q).
-4*q**2
Let i(s) = -14*s**3 - 1314*s + 7*s**3 + 1309*s + 5 + s**3. Let b(o) be the second derivative of o**5/4 + 2*o**3/3 - 2*o**2 - 4*o. Determine 5*b(d) + 4*i(d).
d**3
Let a(b) = -15*b**3 - b**2 - 138*b - 621. Let w(u) = 4*u**3 + 36*u + 155. Give 6*a(o) + 23*w(o).
2*o**3 - 6*o**2 - 161
Let u(x) be the first derivative of -5*x**4/4 + 50*x**3/3 - 3*x**2/2 - 3*x - 7573. Let o(i) = -4*i**3 + 51*i**2 - 2*i - 2. Determine -3*o(d) + 2*u(d).
2*d**3 - 53*d**2
Let t(k) = -4*k**2 + 2*k. Let d = -155 - -16


= c - o. Round t to six decimal places.
-0.000005
Let a = 111 - 109.66. Let v = a - 0.24. What is v rounded to one dp?
1.1
Let b = -576 + 622.4. Let r = 52 - b. Round r to the nearest integer.
6
Let v = -14 - -8. Let u = -5.9 - v. Let c = u + -0.099935. Round c to five dps.
0.00007
Let x = 19907 + -19900.936939. Let m = 4.9830704 - x. Let w = -1.08 - m. What is w rounded to 6 dps?
-0.000009
Let q = -4 + 5.6. Let t = -3.3 + q. What is t rounded to the nearest integer?
-2
Let r = 118 + -118.077. Round r to 2 decimal places.
-0.08
Let r = 77227 - 152727. What is r rounded to the nearest 10000?
-80000
Let g = -28 - -27.99999946. Round g to seven dps.
-0.0000005
Let x = 20.80321114 + -20.77321. Let v = -0.03 + x. Round v to 7 decimal places.
0.0000011
Let m = 201.105794839 + -0.105875839. Let q = 201 - m. What is q rounded to five decimal places?
0.00008
Let i = -0.163 - -1.515. Round i to 1 dp.
1.4
Let r = 0.03 + 1.97. Let b = r - 2.00003. Let z = 0 + b. What is z rounded to 5 decimal places?
-0.00003
Let s = -485 - -196. Let o = 889 + s. Round o to the nearest 1000.
1000
Suppose -x = -3*h - 18, 0 = -4*h - 14 - 6. Suppose -f + 6 = -2*z, 5*f + x*z + z = 2. Suppose -d - f*d = -33000. Round d to the nearest ten thousand.
10000
Let d = 1730 - 1729.99269. Round d to 4 dps.
0.0073
Let b = 40.000047 - 40. What is b rounded to 5 decimal places?
0.00005
Let y = -5699666 + 5699641.999924. Let p = 24 + y. What is p rounded to 5 dps?
-0.00008
Let y = 1.9 - 16.9. Let a = y + 14.9991. Round a to 4 decimal places.
-0.0009
Let g = -6 - -12. Suppose g = -3*r - 2*n - n, 0 = 4*n - 8. Let h(o) = -o**2 - 4. Let m be h(r). Round m to the nearest one hundred.
0
Let c = -0.0492 + 0.0492371. What is c rounded to 5 decimal places?
0.00004
Let c = -0.4799901 + 0.48. Round c to 6 dps.
0.00001
Let l = -1.3000011 + 1.3. What is l rounded to six decimal places?
-0.000001
Let j = 35494934 - 35494937.00000015. Let h = j + 3. What is h rounded to 7 decimal places?
-0.0000002
Let i = -9.5 - -9.204. Round i to 1 dp.
-0.3
Let x = -6.7 + -58.2. Let m = 62.31 - 0.31. Let q = x + m. What is q rounded to 0 dps?
-3
Let z = -2.2982 + 2.3. What is z rounded to 3 decimal places?
0.002
Suppose -2*l - 5*b + 29975 = 0, -b - 3*b = 4*l - 59980. Suppose a - 4*a - l = 0. Round a to the nearest 1000.
-5000
Suppose -17 = -4*i + 7. Let g be i/(-27) - (-14)/(-18). What is g rounded to the nearest integer?
-1
Suppose -4*t = -0*t - 80. Let f be (24/t)/(1/(-5)). What is f rounded to the nearest ten?
-10
Suppose -5*v + 280936 + 119064 = 0. Round v to the nearest one hundred thousand.
100000
Let n(j) = -539064*j**2 + 13*j - 8. Let w be n(8). What is w rounded to the nearest one million?
-35000000
Suppose -2*y - 1116 = -0*y - 2*u, -3*u + 2229 = -4*y. What is y rounded to the nearest 100?
-600
Let s = -27310.1922 + 27308. Let f = 2.2 + s. Round f to three decimal places.
0.008
Let u = 0.4 - 2.4. Let a = u + 2.1. Let p = a - -0.04. What is p rounded to one decimal place?
0.1
Let a = -263.00374 + 263. What is a rounded to 4 decimal places?
-0.0037
Suppose -4*j + 2*h + h = 153, -5*h = 3*j + 93. What is j rounded to the nearest 10?
-40
Suppose 5*r = -3*j - 20, 2*r - 5*j + 2 = -6. Let h(k) = -262499*k**2 + 3*k - 4. Let y be h(r). What is y rounded to the nearest one million?
-4000000
Let z = 24 - 52. Let x = 27.99999978 + z. Round x to seven dps.
-0.0000002
Let k = 24.9 + -4.9. Let p = -18.4 + k. Let i = p + 2. What is i rounded to zero decimal places?
4
Suppose 4*t = t - 12. Let c be (9/t)/((-3)/12). Let q(x) = -6*x - 3. Let i be q(c). Round i to the nearest 10.
-60
Let g = 0 - -3. Let w(j) = -4*j**2 + 2 + 7*j**3 + 3*j - 6*j**3 + g. Let m be w(4). What is m rounded to the nearest 10?
20
Suppose -4 = m - 3*m. Suppose s + s + 553 = k, 0 = 2*k - m*s - 1102. Let j = k - 369. What is j rounded to the nearest one hundred?
200
Let p = -120.979 + 121. What is p rounded to 2 decimal places?
0.02
Let z(n) = -2730*n**3 - 2*n + 20. Let x be z(10). What is x rounded to the nearest 100000?
-2700000
Suppose -2*c - 2051998 = -l - 0*l, 5129996 = -5*c + 2*l. What is c rounded to the nearest 100000?
-1000000
Let n = -0.02 + 0.0124. What is n rounded to 3 decimal places?
-0.008
Let d = -20 - -19.99999978. What is d rounded to seven dps?
-0.0000002
Let v(u) = 5*u**3 + 5*u - 61000. Let p(s) = 4*s**3 + 4*s - 61000. Let q(b) = -4*p(b) + 3*v(b). Let n be q(0). Round n to the nearest 10000.
60000
Let b = -7.1 - -7.099941. What is b rounded to 5 decimal places?
-0.00006
Let w(h) = -63*h**2 + 8*h + 12. Let d be w(-2). Round d to the nearest one hundred.
-300
Suppose -3*l + 9 = 0, 2*q - 7 = -4*l + 9. Suppose 0 = -x - 4*t - 1110, q*t = 2*x - 3*t + 2285. Round x to the nearest 100.
-1100
Let n(m) = -m**3 + 6*m**2 - 3*m - 5. Let g be n(5). Suppose 2*u + 8442 + 65583 = -5*j, 5*u + 184975 = g*j. Round u to the nearest 10000.
-40000
Suppose 5*v + 240750 = -124250. Round v to the nearest ten thousand.
-70000
Let b = -4 - -4. Suppose -2*t + 163500 + 6500 = b. What is t rounded to the nearest 10000?
90000
Suppose -4*v = -0*v - 16. Let i(k) be the third derivative of k**6/24 - k**5/30 - k**4/8 + 2*k**3/3 - 37*k**2. Let q be i(v). Round q to the nearest 100.
300
Let h = -16 + 30. Let w = h + -50. Let b = 36.0077 + w. Round b to 3 dps.
0.008
Suppose 15 = 3*x - 0*x. Suppose 4*b - 2*t - 1590 = 0, -2*t - 1054 + 3064 = x*b. Round b to the nearest one thousand.
0
Suppose 5*k + 4*d - 397 = 3*d, 3*k + 5*d - 247 = 0. Round k to the nearest 10.
80
Let v(d) = -7124*d - 12. Let i be v(-6). Suppose 0 = -7*u + 392732 - i. What is u rounded to the nearest ten thousand?
50000
Let u be 3/(1/(0 + -1)). Let s(x) = 37000*x. Let v be s(u). What is v rounded to the nearest ten thousand?
-110000
Let g = 28.92902 + -0.01302. Let v = g - 30.9. Let b = -2 - v. What is b rounded to 2 decimal places?
-0.02
Let n = 0.89 - -3.41. Let j = -13.7 - n. Let k = -16.6 - j. What is k rounded to the nearest integer?
1
Let z = 0.0591 + -64.7591. Let v = z + 62. Round v to 0 decimal places.
-3
Let d = 133299.98724 + -133300.40266654255. Let h = d - 354.58457194745. Let p = 355 + h. Round p to 7 dps.
0.0000015
Let q = 88589.54 + -93011.8476. Let k = 4448.3 + q. Let m = k - 26. Round m to three dps.
-0.008
Suppose 4*w = -4*o - 81840, 5*w = -2*o - o - 61386. Let d = 2743 - o. What is d rounded to the nearest one thousand?
23000
Let t = 1051 - 425. Suppose -2*q - 614 = -2*v, 2*v = -2*q - 0*q - t. What is q rounded to the nearest 100?
-300
Let k = 116806 + -116806.099999. Let q = -0.4 + 0.3. Let x = k - q. What is x rounded to six dps?
0.000001
Suppose -5*x - 3*t - 10314830 = 0, 2*x + 2062973 = x - 2*t. Let y = x - -3262963. Round y to the nearest 1000000.
1000000
Let s = 29693235 + -29693509.10942. Let f = -274 - s. Let q = -0.11 + f. Round q to four dps.
-0.0006
Let z be 0 - (0 - (-12)/3). Let b be -6 + 4 - 0 - z. What is b rounded to one dp?
2
Let j = -17 - -14. Let q = j + 3.0000025. What is q rounded to six decimal places?
0.000003
Let u be 2 + 4/(12/(-15)). Let j be 80*1/(u/51000). Round j to the nearest one hundred thousand.
-1400000
Let a(h) = h**3 - 3*h**2 - 2*h - 5. Let n be a(4). Suppose 0 = -n*r + r + 320000. Suppose 2*t - r = -3*t. Round t to the nearest 10000.
30000
Let h = -3.05 - -0.05. Let a = -3.000024 - h. What is a rounded to 5 dps?
-0.00002
Let w = 4.05 + 0.05. Let i = w - 4.1000084. Round i to 6 decimal places.
-0.000008
Let b = 0.6 - 0.5982. What is b rounded to 3 decimal places?
0.002
Let b = 16972475935092378.10000082 - 16972476417571074. Let v = 482478700 + b. Let a = v - 4.1. What is a rounded to seven decimal places?
0.0000008
Suppose 3719977 = -z + 4*d, -4*d = -5*z + 11926 - 18611891. Let q be z/12 - (-3)/(-12). Round q to the nearest one hundred thousand.
-300000
Let r = -177502 + 712502. What is r rounded to the nearest ten thousand?
540000
Let k = -6.83548 - -12.83546. Let y = k - 6. What is y rounded to six dps?
-0.00002
Let o(l) = -36*l - 7. Let d be o(5). Let w = 481 - 228. Let s = d - w. Round s to the nearest 100.
-400
Let p be (18/(-4))/(8/(-16)). Let s be ((-48)/p)/(2/(-375000)). Round s to the nearest one hundred thousand.
1000000
Let j = 355 + -653. Let x = -297.861 - j. Let n = -0.13 + x. What is n rounded to 2 dps?
0.01
Suppose -p = -4*a + 2000002,


o?
True
Suppose 5*f - 20 = 0, 3*p - f - 46 = -2*f. Is 7 a factor of p?
True
Suppose 0 = i + 4*i. Suppose -2*l = -i*l - 56. Is 14 a factor of l?
True
Is (1 - 0)/(((-20)/344)/(-5)) a multiple of 43?
True
Let m(o) = o + 13. Let b be m(-7). Suppose j = b*j. Is 7 - (0 - j - 1) a multiple of 8?
True
Suppose 3*r - 206 - 244 = 0. Is 13 a factor of r?
False
Let h = -7 + 8. Let u(x) = 7*x + 2. Is 9 a factor of u(h)?
True
Suppose 0 = -2*k - 3*d + d + 14, -2*k = 4*d - 10. Suppose 5*y + 3*x - 51 = k, 0 = x. Let f(p) = -p**3 + 13*p**2 - 12*p + 12. Does 6 divide f(y)?
True
Let s = 93 + -63. Is s a multiple of 19?
False
Let z(x) = -6*x + 4. Let m be z(-9). Let b(t) = -5*t - 5. Let y be b(6). Let a = y + m. Is a a multiple of 14?
False
Let x be 6/(-5 - (1 + -4)). Let z(j) be the third derivative of j**6/120 + j**5/10 - j**4/6 + j**3/6 - j**2. Does 20 divide z(x)?
True
Let q(k) = -4*k**3 + 2*k**2 + 1. Does 5 divide q(-2)?
False
Let d(c) = -49*c + 12. Is 26 a factor of d(-4)?
True
Let s(n) = -95*n - 3. Let b(z) = -48*z - 2. Let y(l) = -5*b(l) + 3*s(l). Does 23 divide y(-1)?
True
Suppose 7*n - 40 = 6*n. Does 10 divide n?
True
Let n(a) = 2*a**2 - a. Is n(2) a multiple of 3?
True
Is 6 a factor of (-1)/(-3) + (-89)/(-3) + 2?
False
Suppose 5*z = 2*z + 6. Suppose -z*x + 2 + 8 = 0, -32 = b - 5*x. Is 6 a factor of (12/7)/((-1)/b)?
True
Suppose r + 5 + 1 = 0. Let u(h) = 3*h**3 + 4*h**2 - 2*h + 3. Let b(d) = d**3 - d**2 + d - 1. Let l(w) = -2*b(w) + u(w). Is 11 a factor of l(r)?
False
Let u(m) = 2*m**2 + 6*m - 2. Let n(g) = -6*g**3 + g**2. Let t be n(1). Is 9 a factor of u(t)?
True
Suppose 5*r = 3*r - 4*g + 20, -4*r = g - 12. Let o be 0 + 4 + 0 - 0. Suppose -r*f - f + 5*z + 68 = 0, -48 = -o*f - 4*z. Does 16 divide f?
True
Suppose 0 = 3*f - 4*u + 169, -3*f - 55 = -2*f - 2*u. Let l = f - -83. Is 12 a factor of l?
True
Let s = 43 + -24. Let u = 40 - s. Is 16 a factor of u?
False
Does 56 divide (223*-2)/(1 + -3)?
False
Let v = 213 - 135. Does 39 divide v?
True
Let t(r) = 2*r**2 - 4*r + 4. Let u = -2 + 5. Is t(u) a multiple of 5?
True
Let x(r) = 4*r**2 - 4*r + 4. Is x(3) a multiple of 4?
True
Suppose -p + 0 + 24 = 0. Is p a multiple of 24?
True
Suppose 0 = -4*w - 166 + 430. Suppose -12 = 2*r - w. Is 14 a factor of r?
False
Let y = -22 - -53. Let i be (-2)/3*(-45)/5. Suppose -5*z - 5*c = -44 - i, y = 4*z - 5*c. Is z a multiple of 5?
False
Suppose 5*p - 645 + 20 = 0. Is 25 a factor of p?
True
Let a(g) = 4*g - 6. Is a(12) a multiple of 32?
False
Let b(s) = 9*s**2 + 2*s - 1. Let j be b(2). Suppose 0*t = t + 3, 3*g = 5*t + j. Does 8 divide g?
True
Suppose -3*j - 4*d + 224 = 0, 3*j - 3*d = -2*j + 325. Suppose 0 = o - 3*n - 8, 0 = -4*o + 6*n - 3*n + j. Does 10 divide o?
True
Let t(g) = 2*g - 3 - 2*g**2 - 3*g + 3*g**2. Let p be (-1)/(-2) + (-49)/(-14). Is 4 a factor of t(p)?
False
Suppose 3*h + h - 100 = 0. Does 6 divide h?
False
Let n = 91 + -61. Is 7 a factor of n?
False
Let l(p) = -p**3 - 6*p**2 - 8 - 2*p**2 - p**3 - 7*p + p**3. Is l(-8) a multiple of 12?
True
Let m(q) = -q**3 - 8*q**2 - q - 1. Let l(i) = -i - 1. Let h be l(0). Let t(a) = 7*a**3 - 2*a**2 - a. Let x be t(h). Is m(x) a multiple of 4?
False
Suppose -5*f + f = -84. Is 21 a factor of f?
True
Suppose -3 = -3*z, -2*z = -2*d - 3*z + 1. Suppose -4*p - 2*h + 20 = d, 5*p = 4*p - h + 6. Suppose -5*x + 2*f = -19, -3*x + 7 = 2*x + p*f. Is x even?
False
Suppose 3*z - 4 = 5*z. Let r be (12/z)/(6/(-3)). Suppose -x = -r*x + 20. Is x a multiple of 5?
True
Suppose -4*g = -3*x - 2, x + 4*x + g = 35. Is 22 a factor of x/2 + 76/1?
False
Suppose -l = 4*l - 595. Is 20 a factor of l?
False
Let r be 1*2 + 296/8. Suppose 0 = -k + r + 1. Is k a multiple of 20?
True
Let j(o) = -o**2 - 8 + 2*o**2 - 5*o + 8 + 7. Does 13 divide j(6)?
True
Suppose -72 + 216 = 4*d. Does 13 divide d?
False
Let a = -20 - -41. Suppose -a = -0*v - v - 5*i, -143 = -3*v + 5*i. Is v a multiple of 10?
False
Let g be (-3 + 1)/(1/2). Suppose 4*d = d - 339. Is d/g - 3/12 a multiple of 14?
True
Is 13 a factor of -1 - (-96 - (-6)/2)?
False
Suppose -13 = 4*a + 23. Let d = a + 5. Is -10*(d - (-2 - 0)) a multiple of 10?
True
Let g be (-1)/4 + (-2)/(-8). Suppose 5*z + g*f - 124 = -4*f, 5*z - 3*f - 117 = 0. Does 8 divide z?
True
Let k be ((-8)/3)/2*3. Is 13 a factor of 17 + 1 + 1 + k?
False
Let j(v) = -v**2 + 13*v + 4. Is j(10) a multiple of 9?
False
Let a = -41 + 71. Let c = a - 12. Is c a multiple of 6?
True
Let c = -26 - -60. Is 11 a factor of c?
False
Let r = -16 - -36. Is 6 a factor of r?
False
Let s(f) = f. Let r be s(5). Let p be (r - 1) + 0/5. Suppose p*a + 2*n - 106 = n, -4 = -2*n. Is 13 a factor of a?
True
Let x(u) = u**3 + 4*u**2 + 5*u + 2. Let c be x(-3). Let h = 6 - 4. Does 3 divide (h/c)/(4/(-24))?
True
Let h be 2 + (-1 + 7)/2. Suppose -30 = -h*c + 5*w, -w - 2 - 2 = 0. Does 2 divide c?
True
Is 13 a factor of (7/(-3 + 10))/(2/156)?
True
Let d(g) be the third derivative of 0*g + 2/3*g**3 - g**2 - 5/24*g**4 + 1/60*g**5 + 0. Does 5 divide d(6)?
True
Let d(h) = 12*h - 12. Is d(6) a multiple of 26?
False
Suppose r = -3*r. Does 10 divide 27 - (r + 1/(-1))?
False
Let y(j) = -2*j - 10. Let g be y(-7). Suppose -g*q - 3 = -75. Let t = q + 12. Is t a multiple of 15?
True
Let i(f) be the third derivative of -f**6/120 + 3*f**5/20 + 11*f**4/24 + 2*f**3/3 - 2*f**2. Is 7 a factor of i(10)?
True
Let m = -29 + 32. Let c(f) = f**2 + f + 25. Let o be c(0). Suppose o = m*r - 8. Is 7 a factor of r?
False
Suppose 11*a + 1350 = 16*a. Suppose -5*b + a = -0*b. Does 18 divide b?
True
Suppose 2*o - 2*h - 24 = 0, 0 = 2*o - 0*h + 3*h - 34. Let m = o - -3. Is m a multiple of 11?
False
Suppose -v = -z + 147, -2*z - v + 711 = 3*z. Does 14 divide z?
False
Suppose 2*b - 4*l - 36 = 16, 3*b = l + 88. Does 30 divide b*3/(6/4)?
True
Suppose 2*p + 6 = 0, 3*y - y - 191 = -3*p. Is 10 a factor of y?
True
Let c(u) = u**2 - 16*u + 25. Is 14 a factor of c(16)?
False
Let z(g) be the third derivative of -g**5/60 - 17*g**4/24 - g**3/3 + 5*g**2. Is z(-11) a multiple of 20?
False
Is 26 a factor of (4/(-10))/((-15)/6825)?
True
Is (-4)/2*57/(-2) a multiple of 28?
False
Let w = 34 - 9. Let l = w - 17. Does 4 divide l?
True
Let p be 36 + (-6)/(0 + 3). Let n = -19 + p. Does 11 divide n?
False
Let i be (-68)/5 - (-2)/(-5). Let o(z) = -z**3 + 6*z**2 - 6*z + 3. Let l be o(5). Is i/(-7)*(-33)/l a multiple of 11?
True
Suppose -2*q + 4*o = -40, 2*q - 20 = q - 2*o. Suppose -p - q = -5*p. Suppose -2*k - 3*k + p = -4*y, 5*k - 30 = -y. Is k even?
False
Let b(j) = -j + 3. Let p be -2 + 2 + 0 - -3. Let x be b(p). Is 8 a factor of x + 0 - -1 - -21?
False
Let g(x) = 7*x + 2. Let i(b) = 20*b + 6. Let v(t) = -17*g(t) + 6*i(t). Let j(q) = q**2 + 1. Let l(d) = 2*j(d) - 3*v(d). Is 8 a factor of l(4)?
True
Let l(i) = -i**2 - 7*i - 4. Let w be l(-6). Suppose w*x - 2*r - 14 = -2*x, -4*x + 12 = -4*r. Is 20 a factor of ((-18)/x)/(9/(-96))?
False
Suppose -216 = -4*h - 3*v + 7*v, -3*h + 194 = 5*v. Is h a multiple of 19?
False
Let d = 597 - 369. Is d a multiple of 12?
True
Let p = 51 - -20. Let y = -40 + p. Is 11 a factor of y?
False
Suppose 0 = 2*s + 3*w + 5 - 21, -4*s + 24 = 4*w. Let o be -2*s/(-8)*2. Is (-21)/(o + 6/(-3)) a multiple of 21?
True
Let f(u) = 2*u**2 + 5*u + 10. Does 19 divide f(-7)?
False
Let s = 40 - 37. Is s a multiple of 3?
True
Let y be (-1)/((0 - -2) + -1). Let d be y/(-1 - (-6)/3). Is -2 + ((-18)/1)/d a multiple of 8?
True
Suppose -4*z - 58 = -t, -2*z + 23 = t + z. Is t a multiple of 10?
False
Suppose -5 = -5*a - 3*z + 75, -4*z = 5*a - 85. Is a a multiple of 13?
True
Let k = 38 - -33. Does 22 divide k?
False
Let p = -15 - -17. Is 21 a factor of 2*((-396)/(-8) + p)?
False
Let z = 16 + -2. Let f = 4 + z. Is 9 a factor of f?
True
Is (-20)/6*96/(-10) a multiple of 32?
True
Let l be 3/(-3)*-1*5. Suppose l*u = -0*u + 360. Suppose a = -3*a + u. Is 16 a factor of a?
False
Let s = -61 + 122. Suppose 3*t + 0*t - 4*p - s = 0, -4*t - 3*p + 123 = 0. Suppose 0*g + g = t. Is g a multiple of 15?
False
Let b = 4 - 4. Suppose b = -5*f + 4*f + 13. Does 9 divide f?
False
Suppose f - 13 = -2*v, -2*f = -3*f - 3. Let k(n) = 14*n**2 + 27*n + 5. Let i(b) = 5*b**2 + 9*b + 2. Let c(h) = -17*i(h) + 6*k(h). Is c(v) a multiple of 4?
True
Suppose 0 = -4*m - m + 35. Let a = 9 + m. Does 16 divide a?
True
Suppose -4*o - 5*d + 8 = 0, -6*d = -o - 2*d + 2. Let x


?
False
Let d(r) = -57*r - 56. Suppose 52 - 17 = -5*q. Does 19 divide d(q)?
False
Let p(k) = -k**3 + 25*k**2 - 12*k - 33. Let f be p(25). Let b = -195 - f. Is b a multiple of 6?
True
Let w be ((-36)/24)/((-1)/2). Let g be 0 + (1 - 2 - -1). Suppose -4*u - 4 = g, 3*q - 252 = w*u - 0*u. Does 24 divide q?
False
Let b = -4454 - -8114. Is 14 a factor of b?
False
Let q(r) = 65*r**2 - 138*r - 883. Is q(-6) a multiple of 12?
False
Suppose 5*x + 4 = 7*x. Let n be 56/10 - x*(-3)/(-10). Suppose z = -n*d + 79, -18 = -d - 4*z - 6. Does 2 divide d?
True
Let x be 82/(-2 + (6 - 3)). Suppose 0 = 4*y + 3*v - 652, -y = -4*v - x - 81. Is y a multiple of 23?
False
Let d(y) be the first derivative of -y**2/2 + 13*y - 2. Let a be d(10). Does 3 divide a - 4/(4/(-19))?
False
Suppose 47022 - 9652 = 10*t. Is t a multiple of 25?
False
Suppose -i - 4*g = -7642, -16*g = -15*g + 2. Does 170 divide i?
True
Let t = -176 + 246. Does 4 divide t?
False
Is (108696/35)/(90/225) a multiple of 79?
False
Suppose 22171 = 2*x - 3*t, 12*x = 17*x - 4*t - 55438. Suppose -x = -15*o + 5*o. Is o a multiple of 61?
False
Suppose 296395 = -68*c + 1852915. Is c a multiple of 21?
True
Suppose -5*p - 20 = 0, -o - 2*p = -0 + 3. Suppose 0 = -4*i + w - 5*w, i + 2 = -2*w. Suppose o*c + 2*z = 6*z + 498, 414 = 4*c + i*z. Is c a multiple of 41?
False
Let s(j) = -616*j**3 - 2*j**2 - 48*j - 40. Is s(-4) a multiple of 118?
False
Let p = -6 - -36. Let n = p + -28. Suppose -5*f + n*f + 588 = 0. Does 28 divide f?
True
Suppose 16*r + 3521 = 9185. Does 14 divide r?
False
Suppose 0 = 168*m - 124843 - 151517. Does 49 divide m?
False
Let m be (-1 - -17)/((-10)/(-70)). Suppose -4*y - i + m = -2*y, -62 = -y - 2*i. Is y a multiple of 18?
True
Let s(o) = 2053*o - 609. Is 6 a factor of s(8)?
False
Let d = -48 - -151. Suppose -45*n + 273 = -6*n. Is 14 a factor of d/n + (-2)/(-7)?
False
Suppose 0 = -3*w - 381 + 27. Let p = w - -190. Does 18 divide p?
True
Suppose -2*u + 5*j + 641 = 0, -u - 1 + 323 = -3*j. Suppose -u = -2*d + 259. Does 13 divide d?
True
Suppose -20419 = -20*p - 3*p + 10010. Is p a multiple of 105?
False
Let r = 49 - 60. Let h = r - -17. Suppose 0 = -h*z + 172 + 80. Is 6 a factor of z?
True
Let y(q) = 281*q + 29. Let f be y(-1). Let r = f - -512. Is 13 a factor of r?
True
Suppose 2*n - 17249 = 3*q, 3*n - 18738 = 4*q + 7136. Is n a multiple of 38?
True
Let u(i) = 168*i + 50. Let d be u(3). Suppose 4*b - 2238 = -5*l, 3*l - 4*b - 1916 = -d. Does 45 divide l?
True
Suppose 6*v + 1584 = 10*v. Is 49 a factor of (v - (-3)/(-1)) + (-2)/2?
True
Suppose -28*y + 39*y - 594 = 0. Let h = 534 - y. Does 15 divide h?
True
Let c be 16/(-24)*(-174)/(-4)*9. Let q be (360/16)/15*(c - 1). Is 13 a factor of q/(-6) + ((-3)/2)/3?
True
Suppose 106 = b + p - 1223, 0 = p + 4. Suppose -4*n + b = -5*t, 8*n - 3*t - 1650 = 3*n. Is n a multiple of 4?
False
Is (-3)/((-12)/64670)*34/85 a multiple of 10?
False
Suppose 0 = -3*l + m + 79, -87 = -2*l - 2*l + 5*m. Let a be (-1 + 2)/(20 - (-477)/(-24)). Suppose 6*j - l = a. Does 5 divide j?
False
Let a be ((-105)/(-7))/(3/44). Let z = 141 + a. Does 18 divide z?
False
Let v(u) = 40*u**2 + u. Let q be v(-1). Is 44 a factor of 6/q + 50314/143?
True
Let r = -433 + 434. Is 27 a factor of (-4152)/(-18) - r/(-6)*2?
False
Suppose -66*z + 29177 = -115561. Is z a multiple of 17?
True
Is 9 a factor of (-8)/24 + (-18975)/(-9)?
False
Let y = -5651 + 7834. Does 97 divide y?
False
Let r(a) = -23*a - 66. Let o(g) = 3*g - 2. Let s(i) = 6*o(i) + r(i). Is 6 a factor of s(-18)?
True
Suppose 1252 = r + 4*g, 3*g = -0*r + r - 1238. Suppose 5 = -4*v - 3, -b - v = -r. Is 14 a factor of b?
True
Suppose y - 296 - 243 = 0. Suppose 0 = 791*s - 797*s + 1626. Suppose 2*g = -k + s, 3*g + g - k = y. Does 27 divide g?
True
Let h be ((-4)/(-1))/(7/((-462)/(-12))). Suppose -h = y - 115. Is y a multiple of 5?
False
Does 110 divide (-12 - -3) + (-1 - -17089)?
False
Let x be 1/(-1 - 21/(-14)). Suppose -x = -2*n, 5*b + 0*b = 3*n + 482. Is b a multiple of 9?
False
Suppose -5*p + 235 + 205 = 0. Is 2 a factor of (-255)/(-11) - 4*4/p?
False
Let j be ((-3)/(-18))/((-16)/96). Let k(l) = -867*l**3 - 4*l**2. Does 14 divide k(j)?
False
Suppose 0 = 23*x - 25*x. Let t be 8 + (3 - x) + (0 - 5). Suppose t*c - 100 = c. Does 5 divide c?
True
Let r = 4391 + 2449. Is r a multiple of 40?
True
Let h = 998 + -592. Let m = h - 294. Is 8 a factor of m?
True
Suppose -2*z = 3*z + 5*i - 2025, 0 = 3*i + 3. Let h = z - 135. Is h a multiple of 25?
False
Let u = -446 - -1127. Suppose 0 = 4*y - 299 - u. Suppose -1 = w + 1, 5*g - y = 5*w. Does 16 divide g?
False
Suppose -16*h + 17*h + 15 = -5*a, 5*h + 4*a = 9. Suppose -1915 = -h*l + 3*o, -5*l + 1920 = -22*o + 18*o. Does 20 divide l?
True
Suppose 14 = -b + 3*b. Suppose b*w - 20 = 5*w. Let n(o) = -o**2 + 11*o - 1. Is n(w) a multiple of 2?
False
Let x = 15246 - 12408. Does 11 divide x?
True
Let c(d) = 7*d**2 + 120*d - 62. Does 65 divide c(14)?
True
Suppose 0*o - 8 = -3*o - 2*i, 0 = -3*o + i - 4. Suppose o = 2*g + 2*g - 424. Suppose h - g + 51 = 0. Is 11 a factor of h?
True
Let a(b) = 2*b - 56. Let s be a(28). Suppose 10 + 5 = 3*i, -u + 4*i + 60 = s. Let m = 155 - u. Does 15 divide m?
True
Suppose 4*b - 7 = 5, -4*j = 2*b + 2. Let w = 4 + j. Suppose -7*k + 555 = -w*k. Is k a multiple of 37?
True
Does 21 divide (2444/78 - 32) + (-75100)/(-6)?
True
Let i(n) be the first derivative of -n**4/4 + 41*n**3/3 + 53*n**2/2 - 3*n - 14. Is 9 a factor of i(42)?
True
Suppose 2*j + 2379 = 3*j + 12*l, -l + 4758 = 2*j. Is j a multiple of 39?
True
Is 31 a factor of ((-760)/266)/((-1)/7)*12?
False
Suppose 6*t = 4*t - 100. Let h = t + 32. Let p = 5 - h. Is 6 a factor of p?
False
Let a = -199 + 203. Suppose a*n - 116 = 4*q, 6*q + 140 = 4*n + 8*q. Is n a multiple of 11?
True
Suppose -60 = 7*g - 13*g. Suppose 52 = t - g. Is 19 a factor of t?
False
Let x = 2128 - 1141. Let g = x + 37. Is g a multiple of 64?
True
Let k(l) = l**2 + 15*l - 80. Let t be k(-20). Suppose t*f - 4704 = 6*f. Does 12 divide f?
True
Let j(u) = u**3 + 15*u**2 - 5*u - 4. Let b be j(-13). Suppose -34*w + 31*w + b = 0. Suppose -212 = -3*i + w. Is i a multiple of 20?
False
Let z be (379*-1)/(17/(-34)). Suppose 3*r + 6 = -0*r, -5*d + 4*r = -z. Suppose -3*m = x - 97, x - 5*m - d = -x. Does 14 divide x?
False
Let q = -275 - -277. Suppose 5*m - 10*m + 125 = q*i, 4*i - 243 = -3*m. Is i a multiple of 6?
True
Suppose -151*s + 450 = -149*s. Is 1*3*120975/s a multiple of 70?
False
Suppose 7*u = 3*u. Suppose -5*r - 4*m - 61 = 0, -2*m = -5*r - u*m - 67. Let g(c) = -c**2 - 19*c - 25. Does 15 divide g(r)?
False
Let v(m) = -2*m + 56. Let w be v(28). Suppose w = -2*n - 6*s + 7*s + 12, n + 4*s = -12. Suppose 1700 - 78 = 5*r + 2*x, n*r - x = 1308. Is r a multiple of 18?
False
Let n(a) = -41*a + 10. Let k be n(-2). Suppose 7*y = 386 - k. Suppose 0 = -2*l - 2*j + y, 5*j - 51 = -5*l + 3*l. Is 9 a factor of l?
True
Let i = 113 + 119. Suppose 51*g = 53*g - i. Let u = 59 + g. Does 35 divide u?
True
Suppose 2 = 4*h + m + 4, 0 = 3*h - 3*m - 6. Let d(i) = 0*i**3 - i**3 - 3*i - 12*i**2 + 0 + h*i + 4. Is d(-12) a multiple of 9?
False
Suppose 7*h = 2*h - 5*i + 3490, 5*h + 4*i - 3495 = 0. Let u = 3 - -2. Suppose -u*k - h = -9*k - 5*a, -1 = a. Does 20 divide k?
False
Let u(s) = s**3 - 2*s**2 - s - 69. Let d be u(0). Let y = -66 - d. Suppose 5*n - 141 = a, -y*a - 87 = -n - 2*n. Is n a multiple of 6?
False
Let m be (382/(-18) - 0) + (-50)/(-225). Let b = 3 - m. Let i = b + 104. Is 14 a factor of i?
False
Let d be (-8192)/(-20)*(-5 + 0). Is 15/2*d/(-96) a multiple of 10?
True
Let u(x) = 378*x - 32. Let k be (9 - -3)/3*1. Does 13 divide u(k)?
False
Suppose 4*a + 835 = 4*p - 665, -p + 2*a + 376 = 0. Is 11 a factor of p?
True
Suppose -3*f = -6*f + 4*p + 803, 3*f - 5*p = 808. Let o be (21/9)/(3/f). Suppose 0*x - 7*x = -o. Is 26 a factor of x?
False
Let o be 87/5 + 1 + (-18)/45. Let n be o/(-90) - 16/(-5). Suppose -n*p = -8*p + 550. Is p a multiple of 11?
True
Does 132 divide (-1 - (-44590)/50)/((-4)/(-70))?
False
Suppose -3*k = r - 4545, -14295 = -5*r - 4*k + 8485. Does 16 divide r?
True
Suppose 2*v + 14*o - 9393 = 9*o, -4*o - 9384 = -2*v. Does 42 divide v?
False
Let k = -242 + 228. Does 33 divide 912/k*(-287)/82?
False
Let k(r) = -4*r + 151. Suppose -2*i + 1093 - 1049 = 0. Does 6 divide k(i)?
False
Suppose 4*p


ilitres to litres.
80.13104
What is 11/2 of a micrometer in nanometers?
5500
How many micrograms are there in 147.9801mg?
147980.1
How many minutes are there in 10/9 of a day?
1600
What is 25975051.2 minutes in weeks?
2576.89
How many millimeters are there in 850386.9 nanometers?
0.8503869
How many millilitres are there in seventeen quarters of a litre?
4250
What is 4.927517l in millilitres?
4927.517
What is three fifths of a litre in millilitres?
600
What is 1/4 of a meter in millimeters?
250
How many weeks are there in 164.8693116us?
0.000000000272601375
What is 3/40 of a day in seconds?
6480
Convert 79.72298ml to litres.
0.07972298
Convert 4409.692mm to centimeters.
440.9692
What is 0.3904181 tonnes in grams?
390418.1
Convert 0.8088746 centuries to millennia.
0.08088746
What is 41.46521 years in centuries?
0.4146521
What is 483261.4 millilitres in litres?
483.2614
How many months are there in 0.3752608 years?
4.5031296
What is 1214.211 years in millennia?
1.214211
How many micrograms are there in 64698.36ng?
64.69836
How many grams are there in 277.6592kg?
277659.2
How many hours are there in fourty-three sixths of a week?
1204
What is 1/10 of a century in years?
10
What is 26/5 of a gram in milligrams?
5200
How many nanograms are there in 3/25 of a microgram?
120
Convert 5.62118ns to seconds.
0.00000000562118
What is sixty-one quarters of a litre in millilitres?
15250
What is twenty-three sixths of a millennium in months?
46000
Convert 0.3099202 millennia to decades.
30.99202
How many months are there in 1395.035 decades?
167404.2
Convert 83630.41km to centimeters.
8363041000
How many centuries are there in 5.391859 millennia?
53.91859
What is 7/2 of a week in minutes?
35280
How many millilitres are there in 21/4 of a litre?
5250
How many minutes are there in 2/63 of a week?
320
Convert 7264.089 grams to milligrams.
7264089
What is 18/5 of a centimeter in micrometers?
36000
What is one fifteenth of a millennium in months?
800
How many micrograms are there in 482877.5mg?
482877500
How many centimeters are there in 3/10 of a meter?
30
What is fifty-seven fifths of a gram in milligrams?
11400
How many meters are there in 27.23988 kilometers?
27239.88
What is 21/5 of a century in decades?
42
How many centuries are there in 157.52571 months?
0.131271425
What is 6/5 of a decade in months?
144
How many meters are there in 7/2 of a kilometer?
3500
How many millilitres are there in 5/8 of a litre?
625
What is 8/25 of a tonne in kilograms?
320
How many nanometers are there in 119222.8 kilometers?
119222800000000000
What is 548.258 decades in years?
5482.58
How many months are there in 960.2207 centuries?
1152264.84
What is 3/40 of a gram in milligrams?
75
How many minutes are there in 3/32 of a week?
945
Convert 0.3774877 nanograms to kilograms.
0.0000000000003774877
What is 437015.9l in millilitres?
437015900
What is 39.43505mg in grams?
0.03943505
What is 19/4 of a milligram in micrograms?
4750
How many nanograms are there in 3/40 of a microgram?
75
How many milligrams are there in 32791.42ng?
0.03279142
What is 17/4 of a meter in centimeters?
425
What is 757.951km in centimeters?
75795100
What is 1499.124 months in decades?
12.4927
Convert 187194464.1 seconds to weeks.
309.51465625
How many minutes are there in 124.41798 milliseconds?
0.002073633
What is five quarters of a litre in millilitres?
1250
How many seconds are there in 3/8 of a hour?
1350
What is 25/2 of a second in milliseconds?
12500
How many nanometers are there in 3/40 of a micrometer?
75
What is 111.7346m in centimeters?
11173.46
How many millilitres are there in 1/5 of a litre?
200
What is 22/9 of a week in minutes?
24640
Convert 632050.5 weeks to minutes.
6371069040
How many millilitres are there in 1/4 of a litre?
250
What is three tenths of a century in decades?
3
What is 62/3 of a year in months?
248
What is 1815.883 weeks in milliseconds?
1098246038400
What is 1/5 of a millimeter in micrometers?
200
How many litres are there in 581.9074 millilitres?
0.5819074
Convert 1.152121 days to milliseconds.
99543254.4
What is five eighths of a minute in milliseconds?
37500
What is 4392.986 centuries in millennia?
439.2986
What is 1043.366ml in litres?
1.043366
How many milliseconds are there in 66.63613us?
0.06663613
Convert 17.50335 centuries to years.
1750.335
How many micrograms are there in 977.6549mg?
977654.9
What is three eighths of a litre in millilitres?
375
Convert 2041.965mg to tonnes.
0.000002041965
How many years are there in 55/2 of a millennium?
27500
What is 23.5859 meters in millimeters?
23585.9
What is 0.0998268 days in hours?
2.3958432
How many months are there in 27/5 of a decade?
648
Convert 0.06755g to milligrams.
67.55
How many centimeters are there in 3/5 of a kilometer?
60000
What is fifty-seven halves of a litre in millilitres?
28500
What is 48/5 of a centimeter in micrometers?
96000
What is thirteen eighths of a litre in millilitres?
1625
How many micrometers are there in 62.03812 meters?
62038120
What is 3/8 of a litre in millilitres?
375
What is 0.1189511 millennia in decades?
11.89511
What is 8742.84 grams in micrograms?
8742840000
What is 89.0962ug in tonnes?
0.0000000000890962
What is 8.101723m in micrometers?
8101723
Convert 0.996443 days to microseconds.
86092675200
What is 3/7 of a week in hours?
72
Convert 4535.499ml to litres.
4.535499
How many millilitres are there in 1/4 of a litre?
250
How many seconds are there in three fifths of a hour?
2160
What is fifty-four fifths of a micrometer in nanometers?
10800
How many kilograms are there in eighteen fifths of a tonne?
3600
Convert 752165.7 grams to micrograms.
752165700000
Convert 34.32786mm to kilometers.
0.00003432786
How many micrograms are there in three fifths of a milligram?
600
How many litres are there in 2.584664 millilitres?
0.002584664
What is 0.0407575 milligrams in micrograms?
40.7575
How many nanoseconds are there in 81084.51 weeks?
49039911648000000000
Convert 7.118102 micrometers to millimeters.
0.007118102
How many decades are there in 1.223486 years?
0.1223486
How many micrometers are there in seventy-three fifths of a millimeter?
14600
How many milliseconds are there in 1/24 of a minute?
2500
How many millilitres are there in fourty-nine fifths of a litre?
9800
What is four thirds of a week in minutes?
13440
How many millilitres are there in 6799.077l?
6799077
How many years are there in one tenth of a millennium?
100
Convert 0.1829068 years to millennia.
0.0001829068
What is 549582.6g in micrograms?
549582600000
Convert 2963.076 months to years.
246.923
What is fourty-six fifths of a micrometer in nanometers?
9200
What is thirty-four fifths of a second in milliseconds?
6800
How many hours are there in 7/8 of a day?
21
Convert 8.586908nm to micrometers.
0.008586908
How many microseconds are there in 7.338046 hours?
26416965600
What is 95676.99 years in decades?
9567.699
Convert 0.1348352l to millilitres.
134.8352
What is 1/5 of a centimeter in micrometers?
2000
Convert 81080.6 milliseconds to nanoseconds.
81080600000
What is one tenth of a decade in years?
1
How many decades are there in 73147.32 centuries?
731473.2
What is 898.0476nm in meters?
0.0000008980476
What is 48309.966 milliseconds in days?
0.000559143125
Convert 26.2832 millimeters to micrometers.
26283.2
How many grams are there in 64.91187 milligrams?
0.06491187
How many centimeters are there in 248160.8nm?
0.02481608
Convert 897.369 tonnes to micrograms.
897369000000000
What is eleven quarters of a millennium in months?
33000
Convert 64.48223 millilitres to litres.
0.06448223
What is twenty-seven quarters of a tonne in kilograms?
6750
How many millimeters are there in seventy-five halves of a centimeter?
375
How many millilitres are there in 41/2 of a litre?
20500
Convert 49.22162 microseconds to nanoseconds.
49221.62
How many days are there in 6188977.8 minutes?
4297.90125
How many minutes are there in 2179223.7ms?
36.320395
How many milliseconds are there in 89415.28 hours?
321895008000
How many microseconds are there in 1718.507 milliseconds?
1718507
How many tonnes are there in 38793.55mg?
0.00003879355
What is 103.0066 tonnes in micrograms?
103006600000000
How many millilitres are there in 875719.3l?
8757193


t q(a) = -a + 10. Let k be q(5). Let j = -125 - -129. Find the third derivative of 4*t**2 - 6*t**2 + j*t**5 + 12*t**5 - t**k wrt t.
900*t**2
Let t be ((-9)/(-6))/(6/80). Let m be t/70 + 89/7. What is the third derivative of -4 + 4 + 3*d**2 + m*d**5 - 14*d**2 wrt d?
780*d**2
Find the second derivative of 1 + 54 - 677*p**2 - 78*p + 71*p - 3509*p**2 wrt p.
-8372
What is the second derivative of -6068*u - 13*u**2 + 3*u**2 + 5*u**4 - 27*u**5 - 5*u**4 + 4534*u wrt u?
-540*u**3 - 20
Let r(f) be the second derivative of 471*f**7/14 + f**5/20 - 929*f**3/6 + f**2/2 - 360*f + 2. Find the second derivative of r(g) wrt g.
28260*g**3 + 6*g
Suppose 0 = -5*m - 0*m + 20. Suppose -20*k + 4 = -15*k - 4*u, 24 = 2*k + 4*u. Find the first derivative of 6 + 4*x**m - k*x**4 + 8*x**4 wrt x.
32*x**3
Let j = 1613 - 1115. Suppose 3*z + 3*z = j. Find the third derivative of 47*t**3 - z*t + 35*t**2 + 83*t wrt t.
282
Let f(k) = -589*k**5 - 2*k**3 + 182*k + 1. Let s(y) = -y**5 + 2*y**3 - y**2 + y - 1. Let z(o) = 2*f(o) + 2*s(o). Find the third derivative of z(r) wrt r.
-70800*r**2
Suppose -w - 3*n + 6079 = w, 5*n - 3050 = -w. What is the second derivative of -19*i**2 - 6*i + 3*i - 3038 + w wrt i?
-38
Let n = 36 - -48. Suppose 100 = 4*j - n. Differentiate 2 + 65*m + j*m - 85*m wrt m.
26
Let c be -3 - (-13 + 7) - 1. What is the third derivative of 2 - 34*o**3 + 93*o**3 - c + 11*o**2 wrt o?
354
Let p(k) be the first derivative of -425*k**5 - 920*k + 2572. What is the first derivative of p(s) wrt s?
-8500*s**3
Let k(g) be the first derivative of 6231*g**4/4 + 401*g**3 - g**2/2 - 2483. What is the third derivative of k(y) wrt y?
37386
Let x(l) be the third derivative of 229*l**7/210 - l**6/120 - 311*l**5/15 - 452*l**2 - l. Find the third derivative of x(r) wrt r.
5496*r - 6
Differentiate 69 - 25 - 50 - 1291*w**2 - 174 - 47 wrt w.
-2582*w
Let w(f) = 84*f + 12. Suppose -j + 9 = d, 0 = j + 3*d - 19 + 2. Let i(v) = -1. Let c(t) = j*i(t) + w(t). Differentiate c(p) with respect to p.
84
Suppose -6 = 3*l + 3*a - 2*a, 2*l + 2*a = 0. Let t(r) = -11*r - 6. Let b be t(l). Find the second derivative of -53*d + b*d + 22*d - 5*d**5 wrt d.
-100*d**3
What is the second derivative of -32*z + 27*z + 0*z + 807*z**5 + 231 + 137*z**5 wrt z?
18880*z**3
Let r(f) = -13*f**2 + 36*f - 779. Let d(q) = -27*q**2 + 66*q - 1559. Let h(w) = 3*d(w) - 5*r(w). Differentiate h(z) with respect to z.
-32*z + 18
Let r(v) = 5*v**2 - 7*v - 7. Let i be r(6). What is the first derivative of j + 48 - 22*j**3 + 48 - i wrt j?
-66*j**2 + 1
Let o(h) be the third derivative of 49/120*h**6 - 2 + 27*h**3 + 1/20*h**5 + 0*h + 0*h**4 + 10*h**2. What is the first derivative of o(y) wrt y?
147*y**2 + 6*y
Suppose -8*g - 3*u + 24 = -3*g, 5*g - 3*u - 6 = 0. What is the second derivative of -6*p**3 - 2*p**3 + 255*p + 4*p**g + 3*p**2 wrt p?
-24*p + 6
Let d(z) be the first derivative of -2204*z**5/5 - 738*z - 1160. Find the first derivative of d(g) wrt g.
-8816*g**3
Let s(j) = 85*j**2 + 2*j. Let q be s(-1). Find the second derivative of -101*t**2 - 62*t + 18 - 19*t + q*t wrt t.
-202
Suppose -22*k = -18*k - 2*t - 10, 3*k - 7 = 2*t. What is the second derivative of -40*i + i**k + 8*i**3 - 6*i**3 - 2 + 42*i wrt i?
18*i
Let b be (-4)/(-2) - (-6 - (-3)/1). Find the second derivative of -f**b + 3 - 111*f - 4 + 143*f wrt f.
-20*f**3
What is the third derivative of 35*p**2 + 6036*p**3 - 24*p + 3*p - 3*p + 13*p wrt p?
36216
Let c = 30443/5 - 6088. Let w(s) be the second derivative of 9/4*s**4 + 0*s**2 + c*s**5 + 0 + 0*s**3 + 36*s. Find the third derivative of w(i) wrt i.
72
Let s(n) be the second derivative of -3*n**8/56 - n**7/21 - 17*n**6/30 - 460*n**4 - 2*n - 312. Find the third derivative of s(x) wrt x.
-360*x**3 - 120*x**2 - 408*x
Let q(z) = 2*z + 2. Suppose 0 = -3*g + 2*s - 8, -2*s + 16 = -2*g + 2*s. Let y be q(g). Differentiate -y*h + 2*h + 41 + 4 + 3*h**4 wrt h.
12*h**3
Differentiate 2200*t**4 - 195*t**4 + 55*t - 55*t + 5374*t**4 + 3598 wrt t.
29516*t**3
Let o = 436 + -434. What is the third derivative of -61 + 54*r**3 + 38*r**3 + 41*r**o + 63 wrt r?
552
Let s(m) be the first derivative of 599*m**6/6 + 1015*m**3/3 + 1815. Find the third derivative of s(j) wrt j.
35940*j**2
Let n be -17*4/8*-28. What is the derivative of 557 - n - 49 - 36 + 140*c wrt c?
140
Let p(r) be the second derivative of 35/12*r**4 - 3/28*r**8 + 0*r**3 + 0*r**7 + 0*r**6 + 4 - r + 1/5*r**5 + 0*r**2. Find the third derivative of p(v) wrt v.
-720*v**3 + 24
Suppose -8*f + 2*f = -12. Let x be ((-20)/4*f)/((-1)/1). Find the first derivative of 25*i**2 - x*i**2 + 2 + 16 wrt i.
30*i
Let j(t) = -1302*t - 664. Let m(l) = -91*l - 1. Let g(x) = -j(x) - 8*m(x). Differentiate g(n) wrt n.
2030
Let c(o) be the second derivative of 0*o**3 - 37*o + 37/2*o**2 + 0 + 1/3*o**4 - 3/5*o**5. Differentiate c(m) wrt m.
-36*m**2 + 8*m
Let u(i) = 3*i**2 + 3*i + 7. Let m be u(-3). Let x = m + -16. What is the derivative of 14 + 25 + 8*g**2 - x wrt g?
16*g
What is the third derivative of -29519*i**4 - 2*i**5 - 4137*i**2 + 4*i**5 + 32635*i**4 wrt i?
120*i**2 + 74784*i
Let v(d) = d**3 - 33*d**2 + 201*d + 6. Let g be v(25). What is the second derivative of -23*l + 40*l - 73*l**3 + g*l + 12*l wrt l?
-438*l
Find the third derivative of -4*q**4 + 13626*q**2 + 6*q + q - 15597*q**2 + 128*q**3 - 7*q wrt q.
-96*q + 768
Let t(u) be the third derivative of 5519*u**8/336 + 67*u**4/24 + 19*u**3/6 - 3979*u**2. What is the second derivative of t(y) wrt y?
110380*y**3
Let d(c) = 935*c**3 + c + 2302. Let j(w) = 1402*w**3 + 2*w + 3454. Let o(i) = 8*d(i) - 5*j(i). What is the second derivative of o(l) wrt l?
2820*l
Suppose -356 + 353 = -z. What is the third derivative of 44*p**2 - 5*p**z - 139*p**3 + 8*p**3 - 11*p**2 + 212*p**2 wrt p?
-816
Suppose -14*l = -16*l + f + 6, f + 2 = 0. Differentiate -4*u - l*u**2 + 630 - 14*u**2 - 636 - 55*u**2 + 6*u wrt u.
-142*u + 2
Let m(j) = 231*j**3 - 5*j**2 + 2*j - 696. Let p(v) = 460*v**3 - 9*v**2 + 4*v - 1399. Let q(n) = 9*m(n) - 5*p(n). What is the second derivative of q(h) wrt h?
-1326*h
Let l(q) be the second derivative of 0*q**3 - 89/21*q**7 + 124*q + 0*q**6 - 73/12*q**4 + 0*q**2 + 0 + 0*q**5. What is the third derivative of l(f) wrt f?
-10680*f**2
Let g(x) be the second derivative of 7/12*x**4 - 42*x - 2 - 31*x**2 + 7/6*x**3. Differentiate g(h) wrt h.
14*h + 7
Let h be -3 - (-30)/(3 - -2). Differentiate 31 + 6*m**3 + 2*m + 20 - 37 - h*m with respect to m.
18*m**2 - 1
Let y(q) = 5*q - 13. Let f be y(5). Suppose -p = j - 2, 5*p - f = 4*j - 8*j. What is the first derivative of -31*w - 3*w + 30 + p*w wrt w?
-30
Let j(f) be the first derivative of 52*f**5/5 - 7*f**3/6 + 135*f + 186. Let u(s) be the first derivative of j(s). What is the second derivative of u(g) wrt g?
1248*g
Let t(u) = u**2 + 14*u - 30. Let j = -72 - -56. Let m be t(j). Find the third derivative of -g**m - g**2 + g**2 - 20*g**4 + 0*g**2 wrt g.
-480*g
Let q(z) = -375*z**3 + 12*z**2 + 632*z + 1. Let b(a) = -379*a**3 + 10*a**2 + 632*a + 2. Let y(i) = -5*b(i) + 4*q(i). Find the second derivative of y(w) wrt w.
2370*w - 4
Let s = 106 - 108. Let n(j) = -j**4 - j + 1. Let v(l) = 3*l**4 - 20*l**3 - 39*l**2 + 2*l - 2. Let z(m) = s*n(m) - v(m). Find the third derivative of z(u) wrt u.
-24*u + 120
Find the second derivative of 9 + 4 + 111*l**2 - 40*l**2 - 6 + 2*l**5 + 1 - 2*l**3 - 191*l wrt l.
40*l**3 - 12*l + 142
Let x = 4305 - 4301. Let g(u) be the first derivative of 0*u**3 + 8 + 0*u**x + 0*u**2 - 8*u + 12/5*u**5. Find the first derivative of g(m) wrt m.
48*m**3
Let o(f) be the first derivative of -32*f**7/7 - 7*f**5/5 + 11*f**3/3 - 44*f + 2107. Find the third derivative of o(q) wrt q.
-3840*q**3 - 168*q
Let w = -299 + 503. Suppose 46*i - 1122 = 13*i. What is the first derivative of 250 - 11*c - w + i*c wrt c?
23
Suppose 0 = -85*l + 71*l + 28. What is the third derivative of 40*j**3 - 1980*j - 175*j**2 - l*j**3 + 1980*j wrt j?
228
Let c = 5937 + -5921. Let p(t) be the first derivative of 2/3*t**3 + c + 9*t + 0*t**2. Find the first derivative of p(i) wrt i.
4*i
What is the third derivative of -72*y**2 + 10*y**3 + 31*y**2 + 8*y**3 + y**5 - 81*y + 45*y**2 wrt y?
60*y**2 + 108
Let k = -309 - -312. Find the third derivative of -6*z**k - 9 + 6*z**3 + 237*z**2 - 84*z**4 + 6*z**4 + 7 wrt z.
-1872*z
Let l(z) be the first derivat


ose -3*a + 38 = n, 120 = 5*n - a - p. Is 20 a factor of n?
False
Suppose -10*f = -9*f. Let t be (3 + f)/((-36)/168). Is 16 a factor of (63/t)/((-3)/32)?
True
Let w be 6/9 - (-19)/3. Let a(p) = p**3 - 12*p**3 - 9*p + w + 10*p. Is 20 a factor of a(-2)?
False
Let d be (-156)/(-30) + -4 + (-2)/10. Let q be 2 + d*-8 - 0. Let w = q - -54. Is 16 a factor of w?
True
Let c(r) = -r**3 + 14*r**2 + 3*r - 14. Let w be c(14). Let z be 3 + w/(-8) - (-79)/2. Suppose -175 + z = -j. Is 34 a factor of j?
True
Let u(q) be the first derivative of -24*q**2 + 6*q + 3. Let k(h) = 8*h - 1. Let s(b) = 34*k(b) + 6*u(b). Is 12 a factor of s(-4)?
False
Let b(g) = g**3 - 3*g**2 + 6*g - 3. Let n be b(2). Suppose c + 4*c + n = 0, -2*j + 2*c = -12. Suppose -j*d = 178 - 433. Does 17 divide d?
True
Suppose -4 + 54 = h. Let w = h - 39. Suppose 5*u + 180 = w*u. Is u a multiple of 6?
True
Let s = -690 + 690. Suppose -42*v + 13*v + 13485 = s. Does 5 divide v?
True
Let s(w) = 84*w**2 + 15*w + 381. Does 36 divide s(-11)?
False
Suppose 3*p - 15 + 12 = 0. Suppose -d = -p - 3. Suppose -5*z = -10, 3*z + 414 = -h + d*h. Does 14 divide h?
True
Let b = 28 + 25. Let r = -50 + b. Suppose -23 = -r*h + 82. Is h a multiple of 7?
True
Let x = -23740 - -28314. Is x a multiple of 170?
False
Suppose 0 = r, -14 = -2*k - 0*k + r. Suppose 18*j - 671 = k*j. Is 4 a factor of j?
False
Let u = 41 + -109. Suppose q - 6*q = -j + 69, -5*j = 2*q - 399. Let b = u + j. Is 3 a factor of b?
False
Suppose 61 = j + 5*y, -j - 3*j + 4*y = -172. Let l = 37 - j. Does 9 divide (-162)/l + -1 + 5?
False
Let x(u) be the second derivative of u**4/4 + 5*u**3/6 - 5*u**2/2 - 19*u. Let j be x(1). Suppose j*m + 3*o - 66 - 21 = 0, 2*m = -o + 60. Is m a multiple of 3?
False
Let s(g) = 366*g - 1928. Is s(48) a multiple of 17?
True
Is 39 a factor of (2781/18)/(3 - 171/58)?
False
Let x(z) = -8*z**3 - 77*z**2 + 36*z + 139. Let d(f) = -5*f**3 - 39*f**2 + 18*f + 69. Let w(a) = -5*d(a) + 3*x(a). Is w(36) a multiple of 40?
True
Let v = 203 + -92. Suppose -12*w - v = -3831. Is 18 a factor of w?
False
Is ((-1078)/(-55) + -19)*540 a multiple of 38?
False
Suppose -2*l - 320 = -3*d + 2*l, d - 4*l = 120. Let i = d + -24. Is i a multiple of 6?
False
Suppose 37*k - 36260 = 2*k. Is k a multiple of 148?
True
Let c(t) = -4*t + 19. Suppose 5*i = -2*p + 5*p + 35, -i = -p - 9. Let r be c(i). Suppose r*w + 2*j = 106 + 9, 2*w + 5*j = 84. Is 16 a factor of w?
False
Let h(p) = 2*p**2 + 8*p - 20*p - 4*p**2 + p**2 - 6. Let m be h(-11). Suppose 0 = m*b - 234 - 321. Is b a multiple of 17?
False
Let c(q) = q - 10. Let b be c(6). Let x(t) = -1 + 13405*t + 1 + 7 - 2*t**3 - 13409*t - 5*t**2. Does 24 divide x(b)?
False
Suppose 0 = -190*u + 185*u - b + 1975, -5*u + 2*b = -1990. Is 3 a factor of u?
True
Suppose 4*l + 458 = -2*z, 3*z = -2*l - l - 678. Let n = z + 410. Is 7 a factor of n?
False
Suppose 257153 = 5*w + 2*r + 36105, -2*w - 2*r = -88424. Is 12 a factor of w?
True
Is (-5)/6 - (34 - 12704066/204) a multiple of 32?
True
Let u(v) = 27*v**3 + 5*v**2 - 43*v + 338. Does 30 divide u(7)?
False
Let y be -1*3/3*1. Let d(q) = 78*q**2 + 2*q. Let j be d(y). Suppose -2*m - j = -4*m. Does 38 divide m?
True
Let p(q) be the second derivative of -q**4/12 + 10*q**3/3 - 4*q**2 + 16*q. Let m be p(15). Suppose -2*w = -93 - m. Is w a multiple of 16?
True
Let i = -157 - -160. Suppose 0 = -2*f - 0*f + 4. Suppose 0 = 2*g - 3*q - 27 - 164, -i*g + f*q + 289 = 0. Does 28 divide g?
False
Suppose 278*z + 5*o = 280*z - 3132, 7830 = 5*z + o. Is z a multiple of 54?
True
Let o(x) = 98*x**3 + x**2. Let p be o(1). Let v = p - 16. Suppose 2*z = -19 + v. Is z a multiple of 16?
True
Suppose -4556 = -14*y - 20*y. Suppose -4*j + c = -y, -3*j - c + 104 = -0*j. Does 34 divide j?
True
Let b(q) = 626*q**3 + 3*q**2 - 45*q + 97. Does 31 divide b(3)?
False
Let b(p) = p**3 + 8*p**2 + 5*p - 16. Let u be b(-5). Suppose 9*t - u*t + 8000 = 0. Is t a multiple of 20?
True
Let f(w) = -84*w**2 - 21*w - 78. Let n be f(-4). Let q = n - -1878. Is 74 a factor of q?
False
Suppose -67*o = -65*o - 360. Suppose -o = -12*u + 7*u. Let v = u - 3. Does 3 divide v?
True
Let g(x) = 4*x + 12. Let t = -85 - -102. Let c(u) = -u**3 + 16*u**2 + 18*u - 11. Let z be c(t). Is 9 a factor of g(z)?
True
Let c = 125 - 113. Let t(u) = 2*u**3 - 23*u**2 - 3*u + 15. Does 25 divide t(c)?
False
Let s(j) = -2*j**2 + 24*j + 1. Let a be s(14). Let f = -33 - a. Does 8 divide f?
False
Let r(h) = -926*h + 1510. Is r(-9) a multiple of 252?
False
Suppose -5*l - q = -26, -4*l - q = -3*l - 6. Let r(a) = a**3 + 3*a**2 + 7*a - 7. Does 38 divide r(l)?
True
Let t = -3669 - -4005. Is 24 a factor of t?
True
Suppose v = -5*c - 67, -365 = 5*v - 3*c - 2*c. Suppose -24*s + 86 = -178. Let y = s - v. Is 19 a factor of y?
False
Let r = -46 + 41. Let n = -7 + r. Let v = n - -54. Does 21 divide v?
True
Let s(p) = 2*p**2 + 7*p - 6. Let k be ((-36)/(-45))/((16/(-30))/4). Let a be s(k). Is 15 a factor of a/(-40) - (-528)/5?
True
Suppose -8*t + 2759 = -3456 - 15425. Is t a multiple of 126?
False
Let b = 23 + -31. Let d(q) be the second derivative of -2*q**3 - 4*q**2 + 3*q. Does 22 divide d(b)?
True
Let k(d) = -18*d**3 + 11*d**2 - 20*d. Let z be k(3). Let s = 1086 + z. Is 52 a factor of s?
False
Suppose -4*u - 18 = -d, 0*u - 16 = -4*d + 2*u. Let i be 9/18 - d/(-4). Is 3 a factor of (0 - i)*5*2/(-1)?
False
Let m(h) = 22*h + 97. Let g(l) = 19*l + 98. Let c(p) = 6*g(p) - 5*m(p). Is 3 a factor of c(-23)?
False
Suppose 4*i + 8 = 4*d - 28, 2*i = -2*d - 10. Let b = i + 25. Suppose -3*o = a + 2*o - b, -3*o - 90 = -3*a. Is 7 a factor of a?
True
Let x = 31433 - 17966. Is 51 a factor of x?
False
Suppose 154370 - 1298 = 72*h. Does 5 divide h?
False
Let i = -29 - -39. Suppose 5*o + i*o - 2085 = 0. Is o a multiple of 10?
False
Let s be ((-80)/(-32))/(2/396). Suppose -s = 3*x - 5*x - 5*g, 0 = x + 3*g - 249. Is 40 a factor of x?
True
Let c = -149 - -105. Let g = 44 + c. Is 8 a factor of (g - -4) + (-4 - -39)?
False
Suppose -b + 93*b = -49*b + 1889541. Is b a multiple of 9?
True
Let y = 161 - 161. Does 37 divide 257 + (6 - 4) - y?
True
Let n be (-54)/(-1 + -2)*5/15. Does 42 divide 12/(-72) - (-6037)/n?
False
Suppose -30 = p - s, -7*p + 3*p - 4*s - 144 = 0. Let v = -37 - p. Is 5 a factor of 3 + 1 - (-5 - v)?
True
Suppose -142*i = -136*i - 2664. Let j = i - 403. Is 3 a factor of j?
False
Let m = 292 + -289. Suppose -110 = -i - 5*k, 4*k - k = -m*i + 378. Is 10 a factor of i?
True
Let x(c) = -c - 17. Let w be x(-10). Is 11 a factor of 766 - (w - -11)*-1?
True
Let w(t) = 6 - 9*t + 17 - t**2 - 11. Let p be w(-10). Is 10 a factor of 76/1*p/4?
False
Let f = 336 + -312. Suppose -f*c + 805 = -203. Is 14 a factor of c?
True
Let u(r) = 3608*r - 10526. Does 41 divide u(23)?
False
Suppose 21*a - 3706 = -i + 22*a, -5*i = -4*a - 18532. Is 124 a factor of i?
False
Let z = 12 + 26. Suppose -10 = -4*h - z. Let k = 25 + h. Does 9 divide k?
True
Let o(y) = y**3 + 17*y**2 + 21*y + 11. Let v(l) = -5*l + 26. Let t be v(8). Is o(t) a multiple of 14?
False
Let z(w) = 453*w + 774. Is 8 a factor of z(7)?
False
Suppose -z - 1718 = -5*z - 5*n, -2*z + 868 = -2*n. Let g = z - 372. Is g a multiple of 12?
True
Let s(c) = 3*c - 8. Suppose 0 = -2*i - 2*k - 2, -5*k - 4 = 4*i + 3. Let a be s(i). Does 36 divide -1 - 1 - (-229 + (a - -2))?
False
Suppose 9*z + 3*m - 288582 = 0, 104*m - 99*m - 32074 = -z. Is 34 a factor of z?
False
Suppose 3 = -31*r + 34*r, 0 = 4*v - r - 4551. Suppose -4*o = -1218 - v. Is o a multiple of 42?
False
Suppose -2 = 4*a - h, -4*h = -5*a + 3*a - 8. Is 44 a factor of (-1)/((-3495)/873 + 4) - a?
False
Suppose 54*z - 3*h - 1350 = 52*z, 5*z - 7*h - 3376 = 0. Does 4 divide z?
False
Let s = -11070 - -12007. Does 18 divide s?
False
Let r be -52 + -4 + (-2 + -2 - -1). Let f = r + 56. Does 12 divide 23 + 2/6 + f/9?
False
Let z = -234 - -460. Let l = 223 + z. Is 16 a factor of l?
False
Is 13 a factor of (212/(-16))/(4/(-208))?
True
Is 9 a factor of (-5 + 4)*(-21 + -4534)?
False
Let l be (4 + -14)*(-83 - 3). Suppose -y = -23*c + 19*c + 1720, -l = -2*c - 5*y. Is 10 a factor of c?
True
Let v(w) = 6 + 0*w - 13*w - 6*w**2 + 7*w**2. Let o be v(12). Let s(d) = -5*d + 6. Is 18 a factor of s(o)?
True
Let r(f) = 3*f**3 + 19*f**2 - 14*f + 6. Let h be r(-7). Let z = 82 + h. Is 12 a factor of z?
False
Suppose -35145 = -230*j


62))/(-818 + 821)?
248
Suppose 4*j + f = 75, 47 = 3*j - f - 18. What is the least common multiple of 66 and j?
660
Let q(u) = -6 - 1 - 6 - 3 + 15*u. Let b be q(10). Let h = 141 - b. What is the lowest common multiple of 7 and h?
7
Let m(u) = -2*u**2 - 10*u + 28. Let k be m(-6). Suppose 22*v + k = 24*v. Let d = 28 + -11. What is the lowest common multiple of v and d?
136
Suppose -3*v + w - 4*w + 114 = 0, w - 82 = -2*v. Calculate the lowest common multiple of v and 1564.
17204
Let h(p) = p**3 + 3*p**2 - 5*p - 1. Let j be h(-5). Let o = j - -26. Suppose o*s - 4*s = -4. Calculate the lowest common multiple of 5 and s.
5
Let b = 1972 - 63097/32. Let n = -6323 + 151777/24. Calculate the common denominator of b and n.
96
Let d = -2540871/693292 + 1820/491. What is the common denominator of d and 67/6?
4236
Let m(q) = -q**2 - 14*q + 19. Let t(b) = -9*b - 87. Let h be t(-8). What is the smallest common multiple of 6 and m(h)?
12
Let r = 10823/2 - 81161/15. What is the common denominator of 31/3055 and r?
18330
Suppose -5*z + 4*i + 92 = -z, -5*z - i = -109. Let j be 473/33 + (-10)/(-6). Let h = z - j. Calculate the least common multiple of 13 and h.
78
Let q = 150693/101 + -1492. Let l = 6624269/154833 - 7651/219. Let h = l + q. Calculate the common denominator of h and 19/26.
182
Suppose 0 = q - 3*z - 49, 5 = -7*z + 2*z. Suppose -n - n = -10. Suppose -q = -n*v + 24. Calculate the smallest common multiple of 10 and v.
70
Let z be (4/(-1671))/(66/(-9)). Let o = z + 471747/98032. Calculate the common denominator of o and 21/24*(-2)/(-5).
80
Let y be -6*((-2)/4)/(21/21). Suppose -y*j - 8*f + 9*f = 26, 3*f = -12. Find the common denominator of j and -1 - ((-49)/11 - 1).
11
Suppose -52*l = -1792 - 1183 - 2017. Calculate the least common multiple of l and 240.
480
Let m = -15 - -17. Let a(h) = 3*h + 33. Let p be a(-7). Suppose -p = -7*g + 5*g. Calculate the lowest common multiple of g and m.
6
Let v be 1210/216 - (0 - -3). Let f = v + -5/108. Calculate the common denominator of f and (-6)/(-1) + 8 + 1908/(-198).
99
Find the common denominator of 2009/82*(52/3144)/13 and -87/262.
1572
Suppose 3*l = -5*b + 449, -5*l + 4*b = 221 - 957. Calculate the smallest common multiple of 18 and l.
1332
Let q be 1 + 0 + 2084/11946. Let l be (-2)/((-3857)/14 + 4). Let h = l + q. Find the common denominator of -59/2 and h.
22
What is the common denominator of (-7986)/(-556) + -255 + 241 and 39/16?
2224
Let b be 11/2*(-70 - 6). Let o = b + 426. Calculate the lowest common multiple of 40 and o.
40
What is the common denominator of -37/512 and (-8)/76 + 6135/32832?
4608
Let w = -252/19 + 1351/152. Find the common denominator of (1 + (-108)/99)/(1/21) and w.
88
Suppose 0 = -4*z - m + 1467, -4*z + 17*m - 20*m = -1457. Suppose -3*f - 2*u + 236 = 0, -3*f - 2*f = -3*u - z. What is the lowest common multiple of f and 1?
76
Let m = 71940 - 934779/13. Let q = -975906499/24357515 + -1/267665. Let l = m + q. Find the common denominator of l and -30/13.
91
Let p = 26963 - 1186455/44. Let u = 2684589/10436 - -18/2609. Let j = 256 - u. What is the common denominator of j and p?
44
Suppose 4*l + 978 = 185*y - 180*y, 3*l = -5*y + 929. Calculate the smallest common multiple of y and 684.
3420
Let m(y) = y**3 + y**2 + y + 50. Calculate the smallest common multiple of ((-19470)/4543)/((-4)/42) and m(0).
450
Let p = -10132 + 11924. What is the smallest common multiple of p and 128?
1792
Let p = -23203889521223/26424 - -878136903. Let t = p - 15/367. Calculate the common denominator of 83/42 and t.
504
Let s(q) = 11*q**2 + 8*q + 22. Calculate the smallest common multiple of s(-6) and 2997.
29970
Let c = -3/1046 + 3243/36610. Let l = 447709/967 - 463. Let u = 11184/33845 - l. What is the common denominator of u and c?
35
Let b(z) = 8*z**2 - 19*z - 141. What is the least common multiple of b(-5) and 9?
1386
Let f be 6911/15*(6 + (-16045)/2680). Let s = -464/67 + f. Find the common denominator of s and 49.
120
Suppose 0 = -0*j - j - 4*f + 4, 0 = -f. Calculate the smallest common multiple of 26 and 6 + j/8*0.
78
Let i be (2*3)/(6/8). Let a = -3233/348 + 35/29. Find the common denominator of a and i/(-30)*391/184.
60
Let b = 18 - -38. Suppose 0 = -572*o - 578*o + 51638 + 40362. Calculate the lowest common multiple of o and b.
560
Let y = -9874 + 9877. Suppose -3*w + 3*g + 3 = -3, -5*w = -3*g - 10. Suppose w*x - 5*x + 159 = 0. Calculate the lowest common multiple of y and x.
159
Let v = -27369/5 - -3065269/560. Calculate the common denominator of v and 167/630.
5040
Suppose -5*z + 183 = 2*k, 2*k + 4*z - 246 = 6*z. What is the least common multiple of k and 363?
13794
Let t = 71021/16 - 4437. Find the common denominator of 17/8 and t.
16
Let q = -13743494029/828 + 16598420. Let k = -17/92 - q. Find the common denominator of -10/99 and k.
99
Let p = -10595/138 + 499/6. Let b = p + -821/276. Calculate the common denominator of 145/12 and b.
12
Let c = -37537/3640 - -9/728. Let m be (-81)/108*(-1732)/(-1). Let p = -28571/22 - m. What is the common denominator of c and p?
110
Calculate the common denominator of (86478/191835)/(4/3) and 93/1204.
18060
Let p = -92525/1602783 - -40/721. What is the common denominator of p and 30/247?
2223
Calculate the common denominator of 4555/900 + (-5)/45 and -97/3646.
36460
Let j(d) = -2*d**2 + 44*d - 71. Suppose 0 = -8*v + 27*v - 304. What is the least common multiple of j(v) and 1?
121
Let y = -15769 - -283723/18. Let v be (-44174)/91*(-1247)/24. Let t = 25223 - v. Calculate the common denominator of y and t.
252
Let t = 845 + -550. Suppose 300*h - t*h - 25 = 0. Calculate the lowest common multiple of h and 25.
25
Let k = -367 - -254. Let u be ((-31)/2)/(k/2). Let h = -8599/452 + u. Find the common denominator of h and -97/4.
4
Let q(b) = -4*b**3 - b**2 - 8*b + 3. Let g be q(4). Let f = -866/3 - g. Let c = -53/6 + f. What is the common denominator of c and -43/6?
6
Let h = 2/28243 + 1779277/451888. What is the common denominator of -123/1360 and h?
1360
Find the common denominator of -17/462 and (-2)/8 - ((-4)/(-42) + 50/63).
2772
Let j(z) = -z**3 + 3*z**2 + 3*z + 7. Let g(h) = 2*h + 0 - 3 - 2 + 3. What is the least common multiple of j(3) and g(7)?
48
Suppose 0 = -10*n + 2 + 48. Calculate the lowest common multiple of 56 and (-6)/30 - 3*(-17)/n.
280
Suppose 2 = 2*q - 14. Let v(j) = -32*j**2 + 6435*j - 442. Calculate the least common multiple of q and v(201).
1288
Suppose -20*s + 5 + 434 = -201. Let f(b) = -63*b + 1. What is the lowest common multiple of f(-1) and s?
64
Let r = -10187 + 305681/30. What is the common denominator of -163/294 and r?
1470
Let c = -8097 - -3109241/384. Let f = c + 18509/4224. Let q = -79 + 32. What is the common denominator of q and f?
11
Calculate the lowest common multiple of 462 and -2 + 8 + 0 + -6 + 28.
924
Suppose 0*s + 4*s + 385 = 5*h, 5*s = 2*h - 477. Let i = 22 - s. What is the smallest common multiple of 7 and i?
819
Let d = 2960/31 - 3818431/39990. Find the common denominator of -167/90 and d.
3870
Suppose -2*w - 2*c - 20 = -4*w, 2*c - 22 = -w. Suppose 0 = h - 3*h + w. Suppose -8*n = -57*n + 25*n + 264. Calculate the least common multiple of n and h.
77
Let c(h) = 8*h**2 + h. Let x = -157 - -255. Suppose -2*y + 128 = x. What is the lowest common multiple of y and c(1)?
45
Suppose -2*a + 5*a = 6. Let m = -220035 + 220089. Calculate the smallest common multiple of m and a.
54
Let l = 7316387/10 - 732479. Let y = l - -841. Calculate the common denominator of y and 21/50.
50
Let v = 50305/2844774 - 13/758. What is the common denominator of -71/1668 and v?
15012
Calculate the common denominator of 63/100 and (3/((-225)/(-32)))/((-5185)/(-3111)).
500
Suppose 2*a + 4 = -8. Calculate the common denominator of a/(-80)*(-1090)/(-15) and (-4)/(-14) + (-2425)/280 + 2.
40
Let w = -12549421637541109/168256 - -74585284552. Let u = -12/2629 + w. What is the common denominator of 57/4 and u?
64
Let t = 22228 + -244554/11. What is the common denominator of t and 0/(-1) + 114/(-88)?
44
Let s be (((-7360)/12)/(-5))/(2/6). Suppose 6*j + s = 4*j. What is the least common multiple of 6/(-27) - j/18 and 11?
110
Let y = 5023/80454 + 118/2277. Calculate the common denominator of y and (-5 - 4) + ((-246)/1476 - (-296)/66).
10494
Let r = 2/1431 + -22906/71


*4 + 164*j**3 - 1760*j**2 + 1600*j = 0 for j.
0, 1, 20
Factor -5*w**2/3 + 35*w/3 - 50/3.
-5*(w - 5)*(w - 2)/3
Find g such that -6*g**4/5 + 27*g**3/5 + 6*g**2/5 - 117*g/5 + 54/5 = 0.
-2, 1/2, 3
Factor -4*i**5 + 20*i**4 - 16*i**3 - 64*i**2 + 128*i - 64.
-4*(i - 2)**3*(i - 1)*(i + 2)
Factor -2*w**3/3 + 20*w**2 - 168*w + 784/3.
-2*(w - 14)**2*(w - 2)/3
Let -8*s**5 - 8*s**4 + 222*s**3 + 608*s**2 + 440*s + 96 = 0. What is s?
-4, -2, -1/2, 6
Determine i so that -3*i**4/2 - 9*i**3/2 + 27*i**2 - 6*i - 36 = 0.
-6, -1, 2
Factor -6*k**2 - 1135*k - 189.
-(k + 189)*(6*k + 1)
Factor -18*t**3/17 - 114*t**2/17 + 82*t/17 - 14/17.
-2*(t + 7)*(3*t - 1)**2/17
Factor f**2 + 3844*f + 3694084.
(f + 1922)**2
Find o, given that -3*o**3/2 + 3*o**2/2 = 0.
0, 1
Factor -440067*y**2/4 - 8043*y/2 - 147/4.
-3*(383*y + 7)**2/4
Find x such that 2*x**5 - 64*x**4 + 444*x**3 + 1088*x**2 + 578*x = 0.
-1, 0, 17
Solve -2*r**4/9 + 38*r**3/3 - 48*r**2 + 424*r/9 = 0 for r.
0, 2, 53
Determine c, given that -15*c**3 - 117*c**2 + 24*c = 0.
-8, 0, 1/5
Factor 2*s**4/5 - 8*s**3/5 - 84*s**2/5 + 88*s - 70.
2*(s - 5)**2*(s - 1)*(s + 7)/5
Find y such that 3*y**2 - 312*y + 309 = 0.
1, 103
Factor -2*u**4/3 + 76*u**3/3 - 48*u**2.
-2*u**2*(u - 36)*(u - 2)/3
Let -2*l**5/11 - 314*l**4/11 - 15542*l**3/11 - 17530*l**2 + 215600*l - 484000 = 0. Calculate l.
-55, 4
Let p**3/2 + 7*p**2/2 - 12*p - 90 = 0. What is p?
-6, 5
Factor t**3/4 - 3*t**2/2 - 37*t/4 - 15/2.
(t - 10)*(t + 1)*(t + 3)/4
What is s in 4*s**2 - 76*s + 312 = 0?
6, 13
Determine t so that 5*t**2 + 12830*t + 8230445 = 0.
-1283
Suppose -24*k**3 - 452*k**2 - 1076*k + 192 = 0. Calculate k.
-16, -3, 1/6
Suppose -2*a**2 + 50*a + 700 = 0. Calculate a.
-10, 35
Factor -5*k**5 - 80*k**4 - 440*k**3 - 960*k**2 - 720*k.
-5*k*(k + 2)**2*(k + 6)**2
Factor -j**3/5 - 2*j**2 + 32*j/5 + 384/5.
-(j - 6)*(j + 8)**2/5
Find s, given that -2*s**2/13 - 126*s/13 + 128/13 = 0.
-64, 1
Factor -675*a**3 + 315*a**2 + 312*a + 48.
-3*(a - 1)*(15*a + 4)**2
Suppose 4*l**5/7 + 44*l**4/7 + 88*l**3/7 - 16*l**2 - 416*l/7 - 256/7 = 0. What is l?
-8, -2, -1, 2
Let 25*d**5/4 + 4545*d**4/4 - 463*d**3/2 - 729*d**2 - 182*d = 0. Calculate d.
-182, -2/5, 0, 1
Factor -5*g**3/2 - 15*g**2/2 + 45*g/2 + 135/2.
-5*(g - 3)*(g + 3)**2/2
Factor -363*f**3 + 1518*f**2 - 267*f + 12.
-3*(f - 4)*(11*f - 1)**2
Let 2*m**3 + 66*m**2 + 432*m + 800 = 0. Calculate m.
-25, -4
Determine g so that 2*g**2/3 + 1072*g/3 + 143648/3 = 0.
-268
Factor 81*h**5 - 17496*h**4 - 143424*h**3 - 385536*h**2 - 344064*h.
3*h*(h - 224)*(3*h + 8)**3
Factor -2*i**2 - 78*i + 80.
-2*(i - 1)*(i + 40)
Factor -l**3/4 - 62*l**2 - 2369*l/4 + 1309/2.
-(l - 1)*(l + 11)*(l + 238)/4
Determine x so that 2*x**5 + 4*x**4 - 182*x**3 + 632*x**2 - 744*x + 288 = 0.
-12, 1, 2, 6
Find y, given that 3*y**4/7 + 75*y**3/7 - 339*y**2/7 + 261*y/7 = 0.
-29, 0, 1, 3
Determine p, given that -p**4 + 7*p**2 + 6*p = 0.
-2, -1, 0, 3
Factor 2*g**2/19 + 600*g/19 + 598/19.
2*(g + 1)*(g + 299)/19
Factor 5*p**2 - 9865*p - 9870.
5*(p - 1974)*(p + 1)
Factor d**4 + 10*d**3 + 21*d**2 - 4*d - 28.
(d - 1)*(d + 2)**2*(d + 7)
Determine m so that -3*m**5 + 6*m**4 + 3*m**3 - 6*m**2 = 0.
-1, 0, 1, 2
Factor -4*t**4 - 12*t**3 + 36*t**2 + 92*t + 48.
-4*(t - 3)*(t + 1)**2*(t + 4)
What is j in j**5/3 - 185*j**4/3 + 2814*j**3 + 4170*j**2 - 57753*j - 129735 = 0?
-3, 5, 93
Let 3*q**5/2 - 18*q**4 + 21*q**3 + 300*q**2 - 1197*q/2 + 294 = 0. What is q?
-4, 1, 7
Solve -t**5/5 - 21*t**4/5 - 137*t**3/5 - 59*t**2 - 258*t/5 - 16 = 0 for t.
-10, -8, -1
Factor 3*q**3 + 915*q**2 + 70224*q + 69312.
3*(q + 1)*(q + 152)**2
Find d such that -d**3/2 + 3*d**2/2 - d = 0.
0, 1, 2
Find m such that -5*m**5 + 15*m**3 + 10*m**2 = 0.
-1, 0, 2
Factor 5*j**2 - 500*j + 12500.
5*(j - 50)**2
Suppose i**4/8 - 889*i**3/8 + 195345*i**2/8 + 993681*i/8 + 599427/4 = 0. What is i?
-3, -2, 447
Let 5*w**2 + 420*w + 8820 = 0. Calculate w.
-42
Solve -2*c**4 + 2*c**3 + 2*c**2 - 2*c = 0.
-1, 0, 1
Factor 14*p**2/3 - 2924*p + 5008/3.
2*(p - 626)*(7*p - 4)/3
Determine y, given that y**3/5 + 6*y**2/5 - 99*y/5 - 104/5 = 0.
-13, -1, 8
Factor 2*d**2/15 - 2*d/3 + 4/5.
2*(d - 3)*(d - 2)/15
Factor m**2 + 469*m + 468.
(m + 1)*(m + 468)
Solve 2*u**2 - 68*u + 240 = 0 for u.
4, 30
Factor -2*n**5/13 + 2*n**4/13 + 2*n**3/13 - 2*n**2/13.
-2*n**2*(n - 1)**2*(n + 1)/13
Factor -5*k**2 - 3845*k - 3840.
-5*(k + 1)*(k + 768)
Solve -4*g**3 + 524*g**2 - 520*g = 0 for g.
0, 1, 130
Factor 5*h**4 + 10*h**3 - 20*h**2 - 40*h.
5*h*(h - 2)*(h + 2)**2
Let -v**3/3 - 14*v**2/3 + 32*v/3 = 0. What is v?
-16, 0, 2
Suppose n**4 + 406*n**3 + 40800*n**2 - 83232*n = 0. Calculate n.
-204, 0, 2
Suppose 10*c**5 - 42*c**4 + 38*c**3 - 6*c**2 = 0. Calculate c.
0, 1/5, 1, 3
Let 2*v**4 - 8*v**3 - 40*v**2 + 96*v = 0. Calculate v.
-4, 0, 2, 6
Suppose -2*c**3/3 + 242*c/3 = 0. Calculate c.
-11, 0, 11
Factor -4*y**2/5 - 8*y + 160.
-4*(y - 10)*(y + 20)/5
Factor 2*y**3/5 + 2*y**2/5 - 4*y + 16/5.
2*(y - 2)*(y - 1)*(y + 4)/5
Factor -2*y**2/9 + 32*y/9 - 26/3.
-2*(y - 13)*(y - 3)/9
Factor -j**3/4 + 11*j**2/4 + 21*j/2.
-j*(j - 14)*(j + 3)/4
Determine w so that -25*w**2 + 5*w - 1/4 = 0.
1/10
Determine t so that -3*t**5/4 - 21*t**4/4 - 12*t**3 - 9*t**2 = 0.
-3, -2, 0
Let 2*v**4/7 + 164*v**3/7 + 3194*v**2/7 - 984*v + 504 = 0. Calculate v.
-42, 1
Factor -5*i**4 - 140*i**3 - 980*i**2.
-5*i**2*(i + 14)**2
Factor -c**4/3 + 10*c**3/3 + 93*c**2 + 432*c + 576.
-(c - 24)*(c + 3)**2*(c + 8)/3
Let y**5 - 8*y**3 + 6*y**2 + 7*y - 6 = 0. Calculate y.
-3, -1, 1, 2
Let 3*m**5 + 81*m**4 + 738*m**3 + 2460*m**2 + 1800*m = 0. Calculate m.
-10, -6, -1, 0
Solve 32*p**5/13 - 448*p**4/13 + 1438*p**3/13 + 28*p**2/13 - 90*p/13 = 0.
-1/4, 0, 1/4, 5, 9
Find y, given that -y**4 + 62*y**3 - 897*y**2 - 1984*y - 1024 = 0.
-1, 32
Let 250*c**4 + 2200*c**3 - 2880*c**2 + 1184*c - 160 = 0. Calculate c.
-10, 2/5
Find q, given that 4*q**3 + 12*q**2 - 16 = 0.
-2, 1
Factor -13*p**3/7 - 141*p**2/7 + 1062*p/7 - 160/7.
-(p - 5)*(p + 16)*(13*p - 2)/7
Factor t**4/5 + 219*t**3/5 + 258*t**2 + 2564*t/5 + 1704/5.
(t + 2)**3*(t + 213)/5
Factor 3*j**2 + 78*j - 360.
3*(j - 4)*(j + 30)
Factor k**3 - 8*k**2.
k**2*(k - 8)
Factor 4*c**3 - 432*c**2 - 1776*c - 1792.
4*(c - 112)*(c + 2)**2
Suppose 12*k**4 + 44*k**3 + 60*k**2 + 36*k + 8 = 0. Calculate k.
-1, -2/3
Factor 4*y**2/7 + 996*y/7 - 1000/7.
4*(y - 1)*(y + 250)/7
Factor -88*p**2 + 94*p - 6.
-2*(p - 1)*(44*p - 3)
Suppose -4*q**2 - 212*q + 216 = 0. Calculate q.
-54, 1
Factor 5*w**3 - 10*w**2 - 35*w - 20.
5*(w - 4)*(w + 1)**2
Factor 2*g**2/11 + 384*g/11 + 18432/11.
2*(g + 96)**2/11
Find z such that -9*z**5 - 57*z**4 - 30*z**3 + 192*z**2 - 96*z = 0.
-4, 0, 2/3, 1
Factor 2*y**2/3 + 644*y/3 + 214.
2*(y + 1)*(y + 321)/3
Suppose -5*q**4 - 40*q**3 - 75*q**2 + 40*q + 80 = 0. What is q?
-4, -1, 1
Suppose -9*a**4/4 - 11*a**3/4 - a**2/2 = 0. What is a?
-1, -2/9, 0
Determine h so that -4*h**2 - 240*h - 3600 = 0.
-30
Factor 2*u**4 + 30*u**3 + 156*u**2 + 320*u + 192.
2*(u + 1)*(u + 4)**2*(u + 6)
Factor 2*j**3/9 - 4*j**2/9.
2*j**2*(j - 2)/9
Factor k**4 - 31*k**3 + 113*k**2 - 137*k + 54.
(k - 27)*(k - 2)*(k - 1)**2
Determine j so that -32*j**2/11 + 2*j/11 + 30/11 = 0.
-15/16, 1
Find i, given that -2*i**2/5 + 82*i - 1212/5 = 0.
3, 202
What is w in -2*w**2/3 - 856*w/3 - 91592/3 = 0?
-214
Determine h so that -22*h**2/7 - 1004*h/7 + 368/7 = 0.
-46, 4/11
Determine a so that -a**2/7 + 4954*a/7 - 6135529/7 = 0.
2477
Factor -o**2 - 4*o + 12.
-(o - 2)*(o + 6)
Factor -s**2 + 4*s - 3.
-(s - 3)*(s - 1)
Determine f so that -2*f**3 + 2*f = 0.
-1, 0, 1
Let -51*q**2 - 516*q - 60 = 0. What is q?
-10, -2/17
Factor -3*b**3/4 - 1533*b**2/4 - 196605*b/4 - 195075/4.
-3*(b + 1)*(b + 255)**2/4
Factor x**2 - 1602*x + 641601.
(x - 801)**2
What is c in c**2/2 - 480*c + 115200 = 0?
480
Factor 4*r**3 - 36*r.
4*r*(r - 3)*(r + 3)
Factor t**3/2 - 761*t**2/2 + 144399*t/2 + 145161/2.
(t - 381)**2*(t + 1)/2
Factor 5*c**4 + 785*c**3 + 31965*c**2 + 90475*c + 59290.
5*(c + 1)*(c + 2)*(c + 77)**2
Factor -m**5 - 24*m**4 + 78*m**3 - 80*m**2 + 27*m.
-m*(m - 1)**3*(m + 27)
Solve 2*q**5/11 - 64*q**4/11 - 516*q**3/11 - 104*q**2 - 1006*q/11 - 312/11 = 0.
-4, -1, 39
Let -4*z**3 - 12*z**2 + 112*z = 0. What is z?
-7, 0, 4
Factor -b**3/3 - 8*b**2 + b/3 + 8.
-(b - 1)*(b + 1)*(b + 24)/3
Factor 20*h**3 + 8*h**2.
4*h**2*(5*h + 2)
Factor u**2 + 44*u.
u*(u + 44)
D


 prime number?
True
Let o(t) = t**2 + 7*t - 6. Let l be o(-8). Suppose -l*f + 3*a = -f - 176, -3*f - a = -478. Is f a prime number?
False
Suppose 2*x + 3*s = -389 + 11458, 4*x = -s + 22153. Is x prime?
False
Let y = 27880 - 14037. Is y composite?
True
Suppose 112*y + 162189 = 139*y. Is y a prime number?
True
Suppose -3027 = 105*j - 108*j. Is j composite?
False
Let z be (-53)/(-4) - 1/4. Let u be (-2)/z + (-328)/(-104). Suppose -3*b + u*d - 22 = -4*b, -d = 5*b - 152. Is b composite?
False
Suppose 6*k - 7195 = -1033. Is k prime?
False
Let b(f) = 1043*f**2 + 7*f + 5. Is b(-1) composite?
True
Suppose 5*l = -150265 + 627800. Is l composite?
False
Suppose 142*r - 730561 = 129*r. Is r a prime number?
True
Let m = 253 - 181. Let y = m - 41. Let k = y + 20. Is k a composite number?
True
Suppose -3*v + 1104 + 2671 = -h, 3*h = -4*v + 5016. Is v prime?
False
Let f(p) = 75*p - 1. Let l(r) = 37*r. Suppose 1 = s - 3. Let w(a) = s*f(a) - 9*l(a). Is w(-5) a prime number?
False
Let f be 0 - (5 - -3)/(-4). Suppose -3*b - f*l - 4 = 0, 0 = -3*b + b + l + 2. Suppose 0 = 3*p - v - 716, 3*p = -3*v - b*v + 720. Is p prime?
True
Suppose 0 = 4*g - 3*g. Let o(r) = -r**3 + r + 206. Is o(g) a composite number?
True
Suppose -3*x + 0 = 6. Let f be -2*(9/x + 3). Suppose 244 = i + 3*i - f*s, -220 = -4*i - 3*s. Is i composite?
True
Suppose -5*b = -5*m - 3020 + 745, -4*b + 1838 = 5*m. Is b prime?
True
Let u(f) = -20*f + 45 - f**2 + 9*f**2 - 20. Is u(8) composite?
True
Let d = -3840 + 6319. Is d composite?
True
Let i(s) = -s + 15. Let r be 2*1*(9 + -5). Is i(r) composite?
False
Let j = 14 - 2. Let i = 12 - j. Suppose 2*t - 72 - 182 = d, d = i. Is t a composite number?
False
Suppose 25 = k + 4*k. Let f(o) = o**2 - 4*o - 10. Let s be f(-2). Suppose a = -s*n + 65, -367 = -k*a + 7*n - 3*n. Is a a composite number?
False
Suppose 0 = -2*b + 5*c + 19851 + 2887, 2*b - 22738 = 4*c. Is b a composite number?
False
Let n be 1635/3 - (4 + -2). Suppose -5*q - 4*g - 18 + n = 0, 2*q - 4*g = 238. Is q a composite number?
False
Let j(f) = 996*f + 89. Is j(4) a prime number?
True
Suppose -3591 - 2673 = -6*c. Suppose -3*h + 763 = -2*m, 6*h + 4*m - c = 2*h. Is h a composite number?
False
Suppose 2*g + 381 = 1005. Let i = g + 229. Is i prime?
True
Let l = -8 + 8. Let j be 1/2*(0 + 18) + -1. Suppose j*g - 3*g - 2455 = l. Is g a prime number?
True
Let n = 10403 - 3492. Is n composite?
False
Let z be (-11415)/6 + (-9)/6. Let i = z + 2695. Is i a composite number?
True
Suppose -2*w - 4*h = -8 + 32, 3*h + 15 = 0. Let c be w*2 - (1 + -7). Suppose -3*g - 426 = -2*y + c*g, 5*y = 4*g + 1031. Is y prime?
False
Let r(a) = -60 - 73*a - 12 - 9 - 17. Is r(-29) a prime number?
False
Let i(g) = 69*g**3 - g**2 + 18*g + 27. Is i(5) a composite number?
True
Suppose -w + 3088 = 3*g, -3*g + 9246 = 6*w - 3*w. Is w a prime number?
True
Let h be 1*(-1)/3*-6. Suppose -p = -3*p + 6, -h*c - p + 1077 = 0. Is c a composite number?
True
Suppose 0 = -6*y - 32 + 8. Let h be ((-3)/6)/(3/(-6)). Is (48 - h)/((-2)/y) a prime number?
False
Suppose 0 = 5*h - 5293 + 463. Let w = -671 + h. Is w prime?
False
Suppose 23 - 17 = 3*r. Suppose -r*l + 0*l = -1954. Is l a prime number?
True
Let b(d) = 22*d**3 + 9*d**2 + d + 5. Let s be b(-4). Let g = s + 2345. Is g composite?
True
Suppose 9246 = 6*w - 32868. Is w a composite number?
False
Let f(t) = t**2 - t + 79. Let l be (-12)/12 - (-4 + 1). Let q be 6/2 + (-1 - l). Is f(q) prime?
True
Let k(s) = -24*s**3 - 8*s**2 + 16*s - 8. Let g be k(-7). Is (-12)/(-28) + g/35 a composite number?
True
Let h(s) = 22 + 3 - 26*s - 8*s - 4. Is h(-5) a prime number?
True
Suppose 78*a = 34086 + 97500. Is a a composite number?
True
Suppose 85 = -h - 439. Let n = 777 + h. Is n composite?
True
Suppose 3*a - 3*q - 6 = 0, -a - 10 = a + 5*q. Suppose a = 3*p + 2*r - 743 - 166, 2*p - 587 = 5*r. Is p composite?
True
Suppose -5*u + 2*n + 0*n = -1137449, -3*u = 3*n - 682461. Is u a prime number?
True
Suppose 5*n + 1371 = -339. Let s = n - -633. Is s a prime number?
False
Is (-1894)/(-3 + 3 + -1) a prime number?
False
Let r(w) = w**3 - 7*w**2 + 5*w + 8. Suppose -2*f + 6*f - 24 = 0. Let t be r(f). Suppose -2*y + 828 = 2*g, -3*g + 2*g + 415 = t*y. Is g a prime number?
False
Let i(v) = -v**3 + 8*v**2 + 3. Let y be i(8). Suppose 6*u = 3*m + 3*u - 231, -y*m + 229 = -4*u. Is m a composite number?
False
Suppose -3458 = -2*z - p + 3*p, -5*z - 5*p = -8625. Let u = z - 1184. Is u prime?
False
Suppose -2*x + 3*x = q - 5, 0 = -3*x - 6. Suppose -390*i + 398*i = 20664. Suppose -i = -q*g - 552. Is g a composite number?
False
Let w = 27 - 50. Let u = 285 - 195. Let o = u + w. Is o prime?
True
Let v = 49 - 46. Suppose 13 = -3*i + 5*i + x, -3*i - x + 21 = 0. Suppose 3*f - i = 3*y + 1, -2*f + v*y + 2 = 0. Is f prime?
True
Let q be (-5)/1*3/(-5). Suppose 0 = -3*r + 4*z + 218, 4 = -q*z + z. Let f = r - 17. Is f prime?
True
Let n(u) = 44*u**2 + 20*u - 47. Is n(13) a prime number?
True
Let k = 1714 + -2931. Is (-12)/(-72) - k/6 a prime number?
False
Let z = 4 + -2. Let d be (-1)/(-4) - 4*(-11)/(-176). Suppose 2*k + 5*u - 786 - 528 = d, 0 = k + z*u - 655. Is k composite?
False
Let m be 2/(-8) - 19390/40. Let p = -892 + 194. Let f = m - p. Is f a composite number?
True
Let v(a) = -a**2 - 7*a - 9. Let k be v(-6). Let z(q) = -52*q - 11. Is z(k) prime?
False
Let t = -761 - -4417. Is -9*(-4)/(-12)*-1 + t prime?
True
Let l(k) = k**3 + 5*k**2 - 5*k + 1. Let c be l(-6). Let r be (-6)/10 - 503/c. Suppose 0 = 4*y - r - 120. Is y a composite number?
True
Let q(i) = -i**2 - i - 3. Let w(r) = 1. Let g(y) = q(y) + 2*w(y). Let l be g(-1). Is 14/l*95/(-10) prime?
False
Suppose -3*p = -p + a + 1, -5*a - 5 = 0. Suppose p = -13*m + 11*m. Suppose m = -4*k + 1860 + 80. Is k composite?
True
Suppose -40*o + 45*o - 5595 = 0. Is o a prime number?
False
Suppose 2*c + 1 - 27 = 0. Is 1668 - (4 + (4 - c)) a composite number?
True
Suppose -a = -3*h - 5*a + 6451, -h + 2162 = -a. Is h prime?
False
Let i = -65 - -67. Is ((-4)/(-6))/(i/171) + -2 a prime number?
False
Let o(l) be the first derivative of 358*l**3/3 - 3*l**2 + 10*l + 4. Is o(3) a prime number?
False
Let t = -2 + 6. Suppose -t*v + 152 - 56 = 0. Suppose -5*d + v = -d. Is d a prime number?
False
Let b = -32 - -41. Is b/((-18)/(-400)) - -2 composite?
True
Is (-18502)/(-3) + (30/9)/(-10) composite?
True
Let j(v) = -56*v**3 - 19*v**2 - 48*v - 8. Is j(-3) a composite number?
True
Let c be -3*(-5)/10*(-124)/(-6). Suppose 36*g = c*g + 16495. Is g prime?
True
Let j be (-13)/(-5) + 3/(-5). Suppose -c = -5*y + 2, -2*y + 0*y + 8 = j*c. Suppose g + 558 = 6*g + c*s, g + s = 112. Is g prime?
False
Let j(x) be the second derivative of -x**4/12 - 25*x**3/6 + 53*x**2/2 - 34*x. Is j(-25) prime?
True
Is (-9684)/48*(-2 - 2) a prime number?
False
Suppose -2*w = -0*w - 846. Suppose -23*d - w = -26*d. Is d composite?
True
Suppose -2051 + 652 = -j. Is j a composite number?
False
Suppose -7*t = -8*t. Suppose -2*d + d + 489 = 0. Suppose t*l + d = 3*l. Is l a composite number?
False
Let y(k) = -k**3 + 5*k**2 - 7*k + 6. Let p be y(4). Let z = 11 + p. Let q(n) = 12*n - 1. Is q(z) prime?
True
Suppose 12 = -y - 4*y - 3*o, 5*y + 4 = -o. Is -1 + y + -1*1132/(-2) composite?
True
Let f = 144 - 131. Suppose 8*w + 12565 = f*w. Is w composite?
True
Let f(s) be the first derivative of 3*s**3 - 3*s**2 + 4*s - 3. Is f(3) a prime number?
True
Let s(p) = 26*p**2 - 4*p + 7. Suppose -5*g + 0*r + 2*r = -44, r = -3*g + 22. Is s(g) a prime number?
False
Let w(u) = 3*u**2 - 5*u - 2. Let h be w(2). Suppose 0 = -r + 2, h*s - 366 = -2*s + 2*r. Is s a composite number?
True
Let x = 1380 - -3517. Is x prime?
False
Let o(f) = 481*f**2 + 5*f - 4. Let b be o(-3). Let s = 7803 - b. Suppose 0 = -2*a + 4*l + 1390, a - 6*a + s = -4*l. Is a a composite number?
False
Is 68/17*(-1939)/(-4) a composite number?
True
Suppose 0*t + t = 0, v + t = 71. Suppose -3*y + o + 95 = -v, -3*o = -5*y + 278. Is y prime?
False
Suppose -6*l = -10*l + 80. Let s = -168 - l. Let k = s - -267. Is k a composite number?
False
Let q(p) = -p**3 - 11*p**2 + 13*p + 12. Let t be q(-12). Suppose t = -5*b + 4*h + 733, 3*b + 2*h - 602 = -b. Is b composite?
False
Let a be 10/(-50) + 2972/10. Suppose -a - 764 = -z. Is z a composite number?
False
Let c be (-15)/(-10) + (-339)/2. Let y = 280 + c. Suppose 3*j - 137 -


letters picked without replacement from pppppvvvpp?
7/15
Calculate prob of picking 2 v when two letters picked without replacement from vvmvm.
3/10
What is prob of picking 1 q, 1 o, 1 i, and 1 l when four letters picked without replacement from {q: 5, i: 2, e: 2, o: 1, t: 6, l: 1}?
1/238
Three letters picked without replacement from iiffd. Give prob of picking 1 i and 2 d.
0
Four letters picked without replacement from {s: 2, r: 11, p: 2}. What is prob of picking 1 p, 1 s, and 2 r?
44/273
Calculate prob of picking 2 y when two letters picked without replacement from yyyyyssyys.
7/15
Two letters picked without replacement from leeeeeeeeseeexese. Give prob of picking 1 e and 1 s.
13/68
Four letters picked without replacement from {w: 8, r: 3}. What is prob of picking 2 w and 2 r?
14/55
Three letters picked without replacement from {y: 5, f: 3}. Give prob of picking 1 y and 2 f.
15/56
Three letters picked without replacement from {d: 4, b: 2, x: 3}. What is prob of picking 1 d, 1 b, and 1 x?
2/7
Four letters picked without replacement from {d: 4, c: 1, u: 3, w: 4, t: 2, k: 3}. Give prob of picking 2 t, 1 w, and 1 u.
3/595
Calculate prob of picking 2 i, 1 r, and 1 h when four letters picked without replacement from {i: 8, x: 3, a: 1, h: 2, r: 5}.
70/969
Three letters picked without replacement from wmwmwmwmwwjbw. Give prob of picking 1 j and 2 w.
21/286
What is prob of picking 3 w and 1 o when four letters picked without replacement from {w: 10, o: 9}?
90/323
Two letters picked without replacement from {y: 3, m: 3, l: 3, b: 1, z: 5, n: 3}. What is prob of picking 1 n and 1 y?
1/17
Calculate prob of picking 1 m and 3 f when four letters picked without replacement from {f: 5, m: 3}.
3/7
Calculate prob of picking 2 c and 1 a when three letters picked without replacement from cacaaaycyaaaaaacyaaa.
13/190
Three letters picked without replacement from jujjujjujjujjujjujj. Give prob of picking 3 u.
20/969
Three letters picked without replacement from {s: 2, r: 2, d: 3, q: 1, j: 9}. What is prob of picking 2 s and 1 j?
9/680
Two letters picked without replacement from {x: 1, f: 1, k: 1, p: 1, v: 1}. Give prob of picking 1 f and 1 v.
1/10
Calculate prob of picking 4 z when four letters picked without replacement from zzgzzggzgzzzzzzzzz.
1001/3060
Two letters picked without replacement from ggx. Give prob of picking 2 g.
1/3
Calculate prob of picking 1 c, 1 m, and 2 r when four letters picked without replacement from trrmcrtptrr.
1/33
What is prob of picking 1 r and 1 d when two letters picked without replacement from dhnkr?
1/10
What is prob of picking 1 a and 1 g when two letters picked without replacement from {a: 4, g: 1, e: 1, m: 8, k: 3}?
1/34
Four letters picked without replacement from {y: 9, a: 9}. What is prob of picking 4 a?
7/170
What is prob of picking 1 m and 1 e when two letters picked without replacement from remteeez?
1/7
Calculate prob of picking 2 f and 1 z when three letters picked without replacement from fffzzzfzzz.
3/10
Calculate prob of picking 1 z and 1 h when two letters picked without replacement from zzczzzzzzzczzczchcc.
4/57
Calculate prob of picking 3 z when three letters picked without replacement from {w: 1, m: 9, z: 4}.
1/91
Calculate prob of picking 2 a when two letters picked without replacement from nadca.
1/10
What is prob of picking 2 j and 2 h when four letters picked without replacement from hjhjjljhhj?
2/7
What is prob of picking 1 w and 1 b when two letters picked without replacement from bbbbbbwb?
1/4
What is prob of picking 1 h, 1 f, and 1 s when three letters picked without replacement from slghsnhslgff?
3/55
What is prob of picking 1 h and 2 q when three letters picked without replacement from qhcq?
1/4
Two letters picked without replacement from wnawg. What is prob of picking 2 w?
1/10
Calculate prob of picking 1 k and 1 q when two letters picked without replacement from kkvekvveekq.
4/55
Four letters picked without replacement from {c: 4, x: 7, d: 1, o: 4, e: 1}. What is prob of picking 1 d, 2 c, and 1 x?
3/170
Two letters picked without replacement from migmimmvgmmi. Give prob of picking 2 g.
1/66
What is prob of picking 1 m and 1 k when two letters picked without replacement from kmkkkmk?
10/21
Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {u: 2, x: 5, e: 1, f: 1, s: 2, p: 5}.
1/24
Calculate prob of picking 1 e and 1 m when two letters picked without replacement from seumuza.
1/21
Four letters picked without replacement from gugguguv. Give prob of picking 3 u and 1 g.
2/35
Two letters picked without replacement from bat. What is prob of picking 1 t and 1 b?
1/3
Four letters picked without replacement from gtmuggmttegtulg. Give prob of picking 1 g, 1 u, and 2 m.
2/273
Calculate prob of picking 1 x, 1 o, and 2 v when four letters picked without replacement from {v: 4, p: 1, o: 1, y: 3, n: 6, x: 1}.
3/910
What is prob of picking 1 j, 1 i, and 1 c when three letters picked without replacement from nkkrijkkickcr?
2/143
What is prob of picking 2 j and 1 t when three letters picked without replacement from jtttttjjttjtgjgt?
9/56
Three letters picked without replacement from {j: 1, q: 3, b: 4, m: 2, a: 3, l: 3}. Give prob of picking 1 b and 2 l.
3/140
Three letters picked without replacement from {e: 6, r: 2, u: 1, z: 3, n: 2}. Give prob of picking 2 r and 1 e.
3/182
Three letters picked without replacement from uyykckaykkyukxky. Give prob of picking 1 u, 1 x, and 1 y.
1/56
Calculate prob of picking 4 o when four letters picked without replacement from {o: 9}.
1
Calculate prob of picking 1 m, 1 l, 1 s, and 1 d when four letters picked without replacement from slnfmdm.
2/35
What is prob of picking 1 n, 2 l, and 1 z when four letters picked without replacement from {i: 2, n: 2, c: 1, m: 1, l: 9, z: 3}?
6/85
Four letters picked without replacement from {v: 3, c: 2, p: 4, j: 1, a: 1}. What is prob of picking 1 p and 3 c?
0
Two letters picked without replacement from llllllllll. Give prob of picking 2 l.
1
Two letters picked without replacement from {f: 1, h: 4, x: 6}. Give prob of picking 2 x.
3/11
Calculate prob of picking 2 o when two letters picked without replacement from {g: 1, w: 2, o: 2, c: 4}.
1/36
What is prob of picking 1 a and 1 v when two letters picked without replacement from {w: 1, r: 1, v: 1, d: 2, a: 1, y: 1}?
1/21
Four letters picked without replacement from {m: 1, k: 3, g: 1, o: 3, f: 2, z: 1}. Give prob of picking 2 f, 1 z, and 1 m.
1/330
Three letters picked without replacement from {y: 2, v: 1, n: 4, o: 11, s: 1}. What is prob of picking 1 n, 1 s, and 1 y?
8/969
Two letters picked without replacement from twxjq. What is prob of picking 1 t and 1 x?
1/10
Two letters picked without replacement from eaiasipf. Give prob of picking 1 p and 1 f.
1/28
Calculate prob of picking 1 x, 1 h, and 2 z when four letters picked without replacement from hzzxz.
3/5
Three letters picked without replacement from {l: 2, z: 5, v: 6, q: 1, g: 1}. What is prob of picking 1 q, 1 v, and 1 z?
6/91
What is prob of picking 1 a and 1 m when two letters picked without replacement from jajcam?
2/15
What is prob of picking 2 h when two letters picked without replacement from ghhhgh?
2/5
Two letters picked without replacement from {t: 4, o: 3, d: 1}. Give prob of picking 2 o.
3/28
Calculate prob of picking 4 x when four letters picked without replacement from {q: 4, x: 6}.
1/14
Calculate prob of picking 1 k and 2 y when three letters picked without replacement from {y: 8, k: 3}.
28/55
What is prob of picking 2 w and 1 r when three letters picked without replacement from {r: 5, w: 3, j: 1}?
5/28
Two letters picked without replacement from aafnnfffqfffqffsqu. What is prob of picking 1 u and 1 f?
1/17
Two letters picked without replacement from eve. What is prob of picking 2 e?
1/3
What is prob of picking 4 l when four letters picked without replacement from {s: 1, x: 1, l: 17}?
35/57
Calculate prob of picking 1 p and 3 y when four letters picked without replacement from {p: 2, y: 4}.
8/15
Four letters picked without replacement from wpwdwoowlfopwppppld. Give prob of picking 1 f, 1 w, and 2 p.
25/1292
What is prob of picking 1 p and 1 s when two letters picked without replacement from {p:


-201309, -266595, -331881?
-65286*i - 5451
What is the d'th term of 1880, 6880, 15240, 26954, 42016, 60420, 82160, 107230?
-d**3 + 1686*d**2 - 51*d + 246
What is the g'th term of -317, -3824, -14179, -35072, -70193?
-615*g**3 + 266*g**2 + 32
What is the j'th term of 1086, 6336, 20598, 48378, 94182, 162516, 257886, 384798?
751*j**3 - 7*j + 342
What is the s'th term of 4176, 18377, 42056, 75219, 117872, 170021?
s**3 + 4733*s**2 - 5*s - 553
What is the s'th term of 12502, 49882, 112158, 199330, 311398?
12448*s**2 + 36*s + 18
What is the l'th term of 38809, 77817, 117023, 156427, 196029?
99*l**2 + 38711*l - 1
What is the p'th term of 151978889, 151978891, 151978895, 151978901?
p**2 - p + 151978889
What is the o'th term of 5081885, 5081885, 5081891, 5081909, 5081945?
o**3 - 3*o**2 + 2*o + 5081885
What is the p'th term of 162764990, 325529982, 488294974, 651059966?
162764992*p - 2
What is the r'th term of 41826, 75080, 108336, 141594, 174854, 208116, 241380?
r**2 + 33251*r + 8574
What is the c'th term of -187338, -749255, -1685774, -2996895, -4682618, -6742943?
-187301*c**2 - 14*c - 23
What is the z'th term of 1747537, 3495077, 5242619, 6990163, 8737709, 10485257, 12232807?
z**2 + 1747537*z - 1
What is the s'th term of 11141, 18407, 25673, 32939?
7266*s + 3875
What is the h'th term of -146829, -146493, -146157, -145821, -145485?
336*h - 147165
What is the k'th term of -30200, -30324, -30662, -31322, -32412, -34040, -36314?
-18*k**3 + k**2 - k - 30182
What is the o'th term of 8263, 32938, 74065, 131644, 205675, 296158?
8226*o**2 - 3*o + 40
What is the v'th term of 9, -110, -393, -900, -1691, -2826, -4365?
-10*v**3 - 22*v**2 + 17*v + 24
What is the o'th term of -3460, -3426, -3382, -3328, -3264?
5*o**2 + 19*o - 3484
What is the i'th term of -14684, -29562, -44442, -59324, -74208, -89094?
-i**2 - 14875*i + 192
What is the i'th term of 147942, 591846, 1331686, 2367468, 3699198, 5326882, 7250526?
i**3 + 147962*i**2 + 11*i - 32
What is the a'th term of 1908, 6891, 15190, 26799, 41712, 59923, 81426?
-a**3 + 1664*a**2 - 2*a + 247
What is the g'th term of 42713, 42514, 42173, 41690?
-71*g**2 + 14*g + 42770
What is the l'th term of 1084960448, 1084960449, 1084960450?
l + 1084960447
What is the s'th term of -6469934, -12939869, -19409804, -25879739, -32349674, -38819609?
-6469935*s + 1
What is the v'th term of 4366004, 8732003, 13098002, 17464001?
4365999*v + 5
What is the q'th term of -1410981, -1410973, -1410951, -1410909, -1410841, -1410741, -1410603?
q**3 + q**2 - 2*q - 1410981
What is the t'th term of -10970086, -10970083, -10970080, -10970077?
3*t - 10970089
What is the f'th term of 7547230, 7547232, 7547234?
2*f + 7547228
What is the l'th term of 2479, 2685, 2991, 3391, 3879, 4449, 5095, 5811?
-l**3 + 56*l**2 + 45*l + 2379
What is the o'th term of 74774236, 149548469, 224322712, 299096971, 373871252?
o**3 - o**2 + 74774229*o + 7
What is the q'th term of 2855, 11261, 25217, 44723, 69779?
2775*q**2 + 81*q - 1
What is the a'th term of -1167683, -2335372, -3503061, -4670750, -5838439, -7006128?
-1167689*a + 6
What is the d'th term of -24670, -98536, -221644, -393994, -615586?
-24621*d**2 - 3*d - 46
What is the o'th term of 12603, 15960, 19315, 22668, 26019, 29368, 32715?
-o**2 + 3360*o + 9244
What is the n'th term of -28517, -57908, -87299?
-29391*n + 874
What is the g'th term of -27977, -56080, -84183, -112286, -140389, -168492?
-28103*g + 126
What is the f'th term of 756267, 756316, 756367, 756420, 756475, 756532, 756591?
f**2 + 46*f + 756220
What is the n'th term of 9463, 9836, 10209, 10582, 10955, 11328?
373*n + 9090
What is the r'th term of -302623, -605193, -907763?
-302570*r - 53
What is the g'th term of 1067, 3520, 8733, 18086, 32959?
230*g**3 + 843*g - 6
What is the s'th term of -169724, -169763, -169802, -169841, -169880?
-39*s - 169685
What is the s'th term of 30611, 60970, 91327, 121682?
-s**2 + 30362*s + 250
What is the k'th term of 29961, 29012, 28063, 27114, 26165?
-949*k + 30910
What is the s'th term of -38812379, -155249526, -349311443, -620998130, -970309587?
-38812385*s**2 + 8*s - 2
What is the j'th term of 48698, 98893, 150584, 203771, 258454, 314633?
748*j**2 + 47951*j - 1
What is the y'th term of 7279, 51225, 170551, 402961, 786159?
6284*y**3 - 14*y**2 + 1009
What is the w'th term of -1264497, -5057902, -11380239, -20231508, -31611709, -45520842?
-1264466*w**2 - 7*w - 24
What is the o'th term of -1113, -8503, -28587, -67719, -132253?
-1059*o**3 + 7*o**2 + 2*o - 63
What is the s'th term of 1775880, 1775849, 1775818?
-31*s + 1775911
What is the o'th term of 180289785, 180289784, 180289783, 180289782, 180289781, 180289780?
-o + 180289786
What is the n'th term of 12181361, 12181359, 12181357?
-2*n + 12181363
What is the a'th term of -18144, -19872, -21600, -23328, -25056?
-1728*a - 16416
What is the c'th term of 19788415, 39576827, 59365239, 79153651?
19788412*c + 3
What is the f'th term of 255656, 511409, 767162?
255753*f - 97
What is the r'th term of 714934, 1429872, 2144810, 2859748?
714938*r - 4
What is the k'th term of 10694045, 21388015, 32081999, 42776003, 53470033, 64164095, 74858195?
k**3 + k**2 + 10693960*k + 83
What is the g'th term of -1860, -14890, -50274, -119190, -232816, -402330, -638910?
-1863*g**3 + g**2 + 8*g - 6
What is the v'th term of -18481, -147635, -498203, -1180891, -2306405?
-18451*v**3 - v**2 + 6*v - 35
What is the d'th term of 1008, 2873, 5976, 10311, 15872, 22653?
-d**3 + 625*d**2 - 3*d + 387
What is the u'th term of 68643, 147072, 225501, 303930?
78429*u - 9786
What is the q'th term of -4540, -35919, -120904, -286297, -558900, -965515, -1532944, -2287989?
-4467*q**3 - q**2 - 107*q + 35
What is the q'th term of 1524, 13249, 24974, 36699?
11725*q - 10201
What is the k'th term of -715596, -1431183, -2146758, -2862315, -3577848, -4293351?
k**3 - 715594*k - 3
What is the j'th term of 263, -1402, -5007, -10552, -18037?
-970*j**2 + 1245*j - 12
What is the f'th term of -22167, -22175, -22183?
-8*f - 22159
What is the s'th term of -2308398, -4616784, -6925170?
-2308386*s - 12
What is the u'th term of 2254086, 2254111, 2254136, 2254161, 2254186, 2254211?
25*u + 2254061
What is the z'th term of -22904, -22465, -21734, -20711, -19396, -17789?
146*z**2 + z - 23051
What is the r'th term of -1578276, -1578485, -1578694, -1578903?
-209*r - 1578067
What is the i'th term of -98245, -98200, -98127, -98020, -97873, -97680, -97435?
i**3 + 8*i**2 + 14*i - 98268
What is the t'th term of 17957, 71698, 161231, 286556, 447673, 644582, 877283?
17896*t**2 + 53*t + 8
What is the y'th term of -3072718, -6145413, -9218108, -12290803, -15363498?
-3072695*y - 23
What is the h'th term of -62395041, -124790089, -187185137, -249580185?
-62395048*h + 7
What is the x'th term of -546886, -1093785, -1640690, -2187601, -2734518, -3281441?
-3*x**2 - 546890*x + 7
What is the j'th term of 193105, 388728, 584351, 779974, 975597?
195623*j - 2518
What is the s'th term of -83, 70, 605, 1726, 3637, 6542, 10645, 16150?
34*s**3 - 13*s**2 - 46*s - 58
What is the w'th term of 6293, 10557, 14821, 19085?
4264*w + 2029
What is the q'th term of 18, -164, -580, -1326, -2498, -4192, -6504?
-16*q**3 - 21*q**2 - 7*q + 62
What is the a'th term of 2954, 13553, 31800, 57695?
3824*a**2 - 873*a + 3
What is the n'th term of -653, -4549, -15031, -35393, -68929, -118933, -188699, -281521?
-549*n**3 + n**2 - 56*n - 49
What is the u'th term of -3101532, -6203096, -9304660, -12406224?
-3101564*u + 32
What is the r'th term of -2214, -2124, -2058, -2016?
-12*r**2 + 126*r - 2328
What is the y'th term of -6188, -24516, -54984, -97592, -152340?
-6070*y**2 - 118*y
What is the p'th term of -50371, -100795, -151265, -201781, -252343?
-23*p**2 - 50355*p + 7
What is the b'th term of -231, -476, -697, -882, -1019, -1096, -1101?
2*b**3 - 259*b + 26
What is the j'th term of -7176, -28621, -64360, -114393, -178720, -257341?
-7147*j**2 - 4*j - 25
What is the d'th term of 47252, 196407, 444998, 793025?
49718*d**2 + d - 2467
What is the j'th term of -1674967, -3349983, -5024999, -6700015?
-1675016*j + 49
What is the x'th term of 261, 523, 765, 993, 1213, 1431, 1653, 1885?
x**3 - 16*x**2 + 303*x - 27
What is the f'th term of -22587488, -45174978, -67762468, -90349958, -112937448, -135524938?