
Let m be (-11)/33*(-1095 + 0). Let i be m/15 - 4/(-6). Let 2*d + 11*d + 2*d**2 - 10 + 4*d - i*d = 0. What is d?
-1, 5
Let o(r) = r**3 + r**2 - 42*r + 3. Let t be o(-7). Let -79 - 150 + 81 + 4*q**t - 156*q**2 + 300*q = 0. What is q?
1, 37
Let d = -21628/3 + 7214. Let p(w) be the second derivative of 29*w + 0 + 5/18*w**4 - d*w**3 + 16/3*w**2. Factor p(i).
2*(i - 8)*(5*i - 2)/3
Let j = 98970 + -98965. Solve -9/5 - 3/5*d**j + 18/5*d**2 - 3/5*d - 9/5*d**4 + 6/5*d**3 = 0 for d.
-3, -1, 1
Suppose 0 = 2*p + 4*h - 6 - 8, 5*p + 4*h = 29. Suppose 57*a**3 + 9*a**4 - 12*a**p - 108*a - 10 + 18*a**3 + 3 - 17 - 30*a**2 = 0. Calculate a.
-2, -1, -1/4, 2
Let f be (-4 - -1) + (4265/(-77) - 10). Let p = 480/7 + f. Factor 0*s + 4/11*s**2 - 2/11*s**4 - p*s**3 + 0.
-2*s**2*(s - 1)*(s + 2)/11
Let a(b) be the second derivative of -14/9*b**3 + 1 - b + 49/3*b**2 + 1/18*b**4. Determine i so that a(i) = 0.
7
Let b be (2 - (8 + 1))/(-1). Suppose -b*n - 4 = -9*n. Find h such that 1 + h**2 + 11*h - 10*h + 0*h**n - 3 = 0.
-2, 1
Factor -382/3*w + 0 + 2/3*w**2.
2*w*(w - 191)/3
Suppose -55*t + 449 = -321. Suppose -b = -k - 3, 0 = -5*b + b + 3*k + t. What is x in 1024/7 + 482/7*x**3 + 2432/7*x + 1840/7*x**2 + 2/7*x**b + 52/7*x**4 = 0?
-8, -1
Let l(x) be the second derivative of 1/30*x**4 + 1/3*x**3 - 12 + x + 4/5*x**2. Determine a, given that l(a) = 0.
-4, -1
Let l(j) be the second derivative of 7/30*j**5 - 4/3*j**3 - 2/45*j**6 - 1 - 1/63*j**7 - 7*j + 4/9*j**4 + 0*j**2. Solve l(s) = 0.
-3, -2, 0, 1, 2
Factor 8680*g + 635*g**2 + 2890*g + 5*g**3 - 506255 + 532*g + 673*g.
5*(g - 19)*(g + 73)**2
Let k(b) = -43*b - 10. Let i be k(0). Let h be (-12)/i*135/1053. Determine t, given that -h*t - 6/13*t**2 + 6/13 + 2/13*t**3 = 0.
-1, 1, 3
Let h = 13171/3 - 4383. Let m(t) be the second derivative of -1/30*t**6 - h*t**3 + 0 - 9/20*t**5 - 12*t**2 - 5/2*t**4 - 17*t. Solve m(g) = 0 for g.
-3, -2
Let t(l) = -8*l**2 + 39*l + 38. Let x(y) = 18*y**2 - 77*y - 74. Suppose -4*b - 4*a - 12 - 12 = 0, 0 = 2*a - 2. Let o(h) = b*t(h) - 3*x(h). Factor o(j).
2*(j - 22)*(j + 1)
Let c(u) be the third derivative of 13*u**6/1020 + 37*u**5/255 + 31*u**4/68 - 12*u**3/17 - 651*u**2. Find g, given that c(g) = 0.
-3, 4/13
Let f(u) be the second derivative of -5/4*u**4 - 1/30*u**6 - 26*u + 0 - 2*u**2 - 7/20*u**5 - 13/6*u**3. Find g, given that f(g) = 0.
-4, -1
Let z(p) be the first derivative of -5*p**6/18 - 5*p**5/3 - 25*p**4/6 - 50*p**3/9 - 25*p**2/6 - 5*p/3 - 6096. Find d, given that z(d) = 0.
-1
Let a = -336423 + 336425. What is y in -94/3*y + 2209/3 + 1/3*y**a = 0?
47
Factor 1058/15 + 92/15*w + 2/15*w**2.
2*(w + 23)**2/15
Let u(t) = -3*t**2 + 248*t + 243. Let j(i) = 4*i**2 - 248*i - 242. Let s(y) = 4*j(y) + 5*u(y). Determine f, given that s(f) = 0.
-247, -1
Let f(m) be the first derivative of m**6/2 + 3*m**5 - 81*m**4/4 - 81*m**3 + 405*m**2 + 3785. Let f(v) = 0. Calculate v.
-6, -5, 0, 3
Suppose g = 4*h - 5, 2 + 3 = 3*g - 2*h. Factor -5 - 7 - 2*n**3 + 12*n**2 + g - 3 + 3*n - n**3.
-3*(n - 4)*(n - 1)*(n + 1)
Let u(h) be the third derivative of -h**7/1785 + 33*h**6/340 + 101*h**5/170 + 305*h**4/204 + 2*h**3 - 296*h**2. Factor u(s).
-2*(s - 102)*(s + 1)**3/17
Let u(q) = -17*q**4 - 27*q**3 + 392*q**2 - 742*q - 1154. Let c(x) = 7*x**4 + 3*x**3 - x**2 - x + 1. Let o(d) = 2*c(d) + u(d). What is n in o(n) = 0?
-16, -1, 4, 6
Suppose -21 - 59 = -40*u. Let w(z) = -z**3 - 4*z**2 + 5*z - 6. Let x be w(-6). Factor -u*f**3 - 60*f - 7 - 10*f**2 + 11 + x + 17*f**3.
5*(f - 2)*(f + 2)*(3*f - 2)
Suppose 88 = 43*a + 2. Factor 125*r + r**a - 131*r + 0*r**2 - 7.
(r - 7)*(r + 1)
Let j(v) be the third derivative of v**9/12096 + 9*v**3 - 63*v**2. Let c(z) be the first derivative of j(z). Determine l, given that c(l) = 0.
0
Let f(n) be the second derivative of -n**4/114 + 19*n**3/3 - 718*n**2/19 - 97*n - 2. Find b such that f(b) = 0.
2, 359
Let c(x) be the first derivative of 54 + 1/5*x**3 + 18/5*x - 3/2*x**2. Determine l so that c(l) = 0.
2, 3
Let o be (-1)/((-33)/6) - (-68)/(-11). Let p be (o - 2/(-1))*(-12)/30. Find j such that -2*j - p - 2/5*j**2 = 0.
-4, -1
Let m(n) = -28*n**2 - 270*n - 22*n**2 + 22*n + 46*n**2 + 3844. Let a(p) = 2*p**2 + 248*p - 3844. Let c(g) = 4*a(g) + 3*m(g). Factor c(z).
-4*(z - 31)**2
Let i(o) be the third derivative of -171*o**7/70 - 63*o**6/40 + 341*o**5/10 + 63*o**4/2 + 4*o**3 + 224*o**2. Find t such that i(t) = 0.
-2, -1/3, -2/57, 2
Factor -3/2*x**3 + 0 + 12*x**2 + 30*x.
-3*x*(x - 10)*(x + 2)/2
Let d(n) be the first derivative of -112*n**4/17 - 754*n**3/51 + 140*n**2/17 - 8*n/17 - 3269. Let d(a) = 0. Calculate a.
-2, 1/32, 2/7
Let l(z) be the third derivative of 0*z**3 + 2/5*z**5 + 0*z**4 + 0 - 1/6*z**6 + 5*z**2 + 0*z - 16/105*z**7 + 1/12*z**8. Find r such that l(r) = 0.
-6/7, 0, 1
Let d(t) be the third derivative of t**6/360 - 269*t**5/180 + 133*t**4/9 - 530*t**3/9 + 24*t**2 - 2*t + 1. Suppose d(q) = 0. Calculate q.
2, 265
Let v(z) be the third derivative of -z**7/945 + z**6/180 + z**5/270 - z**4/36 - 62*z**2. Suppose v(g) = 0. Calculate g.
-1, 0, 1, 3
Let w(u) be the second derivative of -u**5/100 + u**4/5 - 11*u**3/30 - 541*u. Suppose w(q) = 0. What is q?
0, 1, 11
Let x(u) be the third derivative of -u**7/630 - 7*u**6/120 + 13*u**5/30 + 280*u**4/9 - 256*u**3 + u**2 + 84*u + 5. Solve x(t) = 0.
-16, 2, 9
Let z(y) be the third derivative of -y**6/120 - 231*y**5/20 + 1043*y**4/12 - 232*y**3 + 4627*y**2. Factor z(u).
-(u - 2)*(u - 1)*(u + 696)
Let k(g) be the third derivative of g**7/2100 + g**6/180 - 2*g**5/75 + 127*g**4/12 - 177*g**2. Let a(w) be the second derivative of k(w). Factor a(f).
2*(f + 4)*(3*f - 2)/5
Let z be (13 - 5054/399) + (-2)/15. Let c be ((-54)/(-10))/(-3) + 2. Factor z*i - 2/5*i**2 - c*i**3 + 2/5.
-(i - 1)*(i + 1)*(i + 2)/5
Let q(g) be the third derivative of 11*g**5/510 + 475*g**4/204 + 86*g**3/51 + g**2 + 706. Determine k so that q(k) = 0.
-43, -2/11
Let k(f) be the first derivative of -f**4/22 + 100*f**3/33 - 608*f**2/11 + 4352*f/11 - 1770. Determine j so that k(j) = 0.
8, 34
Let v(c) = 4*c**3 - 3*c**2 - 5*c - 5. Let q(w) = 2*w**3 - w**2 + 3*w - 3. Let z(l) = -5*q(l) + 3*v(l). What is x in z(x) = 0?
-3, 0, 5
Let m(w) = w**2 + 4. Let k(z) = -13*z**2 + 466*z + 419. Let v(n) = -k(n) - 12*m(n). Factor v(x).
(x - 467)*(x + 1)
Let p(g) be the first derivative of -5*g**4/48 + g**3/8 + g**2/4 + 70*g + 3. Let f(x) be the first derivative of p(x). Factor f(n).
-(n - 1)*(5*n + 2)/4
Factor 8 + 0*b - 5*b**3 + 899*b**2 + 10*b - 2*b + 3*b**3 - 901*b**2.
-2*(b - 2)*(b + 1)*(b + 2)
Let m = -238 - -235. Let i(d) = 2*d**4 + 4*d**3 + 21*d**2 + 20*d + 7. Let t(n) = 3*n**4 + 7*n**3 + 40*n**2 + 41*n + 15. Let c(g) = m*t(g) + 5*i(g). Factor c(o).
(o - 5)*(o + 1)**2*(o + 2)
Let z(v) be the third derivative of -2*v**7/21 + 133*v**6/30 + 59*v**5/15 - 133*v**4/6 - 36*v**3 + 718*v**2 - v. Suppose z(d) = 0. What is d?
-1, -2/5, 1, 27
Let l(y) be the first derivative of 4*y**3/3 + 2328*y**2 + 1354896*y + 544. Determine o, given that l(o) = 0.
-582
Let y(q) = -6 + 6 + 4*q**3 + 3*q + 7*q**2. Let b(z) = 3*z + 894*z**3 - 891*z**3 - 20*z**2 + 26*z**2. Let g(l) = -5*b(l) + 4*y(l). Factor g(a).
a*(a - 3)*(a + 1)
Let f = -7691527/7 + 1098790. Suppose 30/7*x - 27/7 - f*x**2 = 0. Calculate x.
1, 9
Let z be ((-174)/6525)/((-4)/160). Solve 0 - 2/15*p**5 + 8/15*p**3 - 4/15*p**4 + 0*p + z*p**2 = 0 for p.
-2, 0, 2
Let n(o) = -o**3 - 6*o**2 - 6*o - 2. Let v = 45 + -50. Let w be n(v). Suppose 6*t - 3*t**2 - w*t**3 + 59 + 56 - 115 = 0. Calculate t.
-2, 0, 1
Let m(x) be the first derivative of -x**4/84 + x**3/21 + 4*x**2/7 - 53*x - 58. Let z(d) be the first derivative of m(d). Find q, given that z(q) = 0.
-2, 4
Let d(b) be the second derivative of 2*b**6/15 - 33*b**5/5 - 117*b**4 - 738*b**3 - 2268*b**2 + 5333*b. Solve d(k) = 0.
-3, 42
Let y(m) be the first derivative of -2*m**5/5 - 126*m**4/5 - 232*m**3/3 - 192*m**2/5 - 3122. Find p such that y(p) = 0.
-48, -2, -2/5, 0
Let q(r) be the second derivative of -r**6/75 - 138*r**5/25 - 837*r**4 - 242172*r**3/5 + 2413071*r**2/5 + 694*r - 2. Factor q(o).
-2*(o - 3)*(o + 93)**3/5
Let n(f) = -f**3 - 14*f**2 - 27*f - 11. Let v be n(-12). Factor -v*s - 31 + 17*s + 136*s + 4*s**2 - 101.
4*(s - 1)*(s + 33)
Factor -209/2*f**4 + 0 - 1/2*f**5 + 0*f**2 + 0*f + 105*f**3.
-f**3*(f - 1)*(f + 210)/2
Su