**3 = 0.
-2, 13, 14
Let u(a) = a**3 - 17*a**2 + 14*a + 19. Let x be u(16). Let y be x/39 + (-58)/(-3). Factor 10*r**2 - 6*r - 7 + y - 2*r**3 - 30.
-2*(r - 3)**2*(r + 1)
Factor 1/3*o**2 + 964/3*o + 232324/3.
(o + 482)**2/3
Let u = -1072195 + 1072195. Factor 4/17 - 6/17*j + u*j**2 + 2/17*j**3.
2*(j - 1)**2*(j + 2)/17
Let b(h) = -7*h**2 + 1008*h + 7403. Let z be b(151). Solve -47/3*d**3 + 0 + 5*d**2 + 7/3*d + 7*d**z + 4/3*d**5 = 0.
-7, -1/4, 0, 1
Let h = -14/8779 - -8835/35116. Let -h*g**2 + 13/4*g - 11/2 = 0. What is g?
2, 11
Let w(n) be the third derivative of 0*n + 52*n**2 + 31/56*n**4 + 1/3*n**5 + 7/120*n**6 + 0 + 3/7*n**3. Let w(h) = 0. What is h?
-2, -3/7
Let a(n) be the second derivative of -n**6/120 + n**5/12 - 8*n**2 + n - 3. Let q(s) be the first derivative of a(s). Let q(t) = 0. Calculate t.
0, 5
Let x(r) be the second derivative of -r**6/45 - 2*r**5/15 + 7*r**4/6 + 104*r**3/9 + 80*r**2/3 - 111*r + 2. What is m in x(m) = 0?
-4, -1, 5
Let t = -246 - -1726/7. Let g = -1427 + 9991/7. Factor t*u - 6/7 + g*u**2.
2*(u - 1)*(u + 3)/7
Let k = 7463/42 - 2483/14. Let i(j) be the first derivative of 37 - 16*j + 4*j**2 - k*j**3. Factor i(l).
-(l - 4)**2
Let s(t) be the first derivative of -51*t**3 + 297/14*t**2 - 3*t + 21/4*t**4 + 82. Suppose s(d) = 0. What is d?
1/7, 7
Let j(r) be the third derivative of 3 + 0*r - 13/12*r**4 - 4*r**2 - 1/240*r**5 - 338/3*r**3. Suppose j(o) = 0. Calculate o.
-52
Let c(y) be the third derivative of -y**5/30 + 335*y**4/6 + 671*y**3/3 - 7491*y**2. What is t in c(t) = 0?
-1, 671
Factor 41*y**3 - 19*y**3 + 212627 - 19*y**3 + 672*y**2 + 1231 + 39567*y.
3*(y + 6)*(y + 109)**2
Let b(g) be the third derivative of g**5/420 + 103*g**4/56 + 22*g**3/3 + 764*g**2. Let b(l) = 0. Calculate l.
-308, -1
Let w = -17435/14 - -2491/2. Let k(u) be the first derivative of w*u**3 - 11 + 9/35*u**5 + 0*u**2 - 9/28*u**4 - 1/14*u**6 + 0*u. Factor k(b).
-3*b**2*(b - 1)**3/7
Let b(v) be the second derivative of 2*v**7/63 - 58*v**6/45 + 11*v**5/3 - 3*v**4 + 2*v - 829. Factor b(m).
4*m**2*(m - 27)*(m - 1)**2/3
Factor -928/13 - 2*d + 2/13*d**2.
2*(d - 29)*(d + 16)/13
Suppose -5*h + 21 + 4 = 5*f, 4*h = 2*f + 2. Let -3*x - 5*x**3 + 19*x - x**h + 6*x**3 - 20 - 2*x**3 = 0. What is x?
-5, 2
Suppose 0 = -435*s + 433*s + 68. Find y such that 28*y**3 - 95*y**3 + 30*y**3 + s*y**3 - 285*y + 525 + 51*y**2 = 0.
5, 7
Let d(c) be the second derivative of 68*c - 7/2*c**4 + 31/2*c**3 - 3/20*c**5 - 24*c**2 + 0. Solve d(x) = 0 for x.
-16, 1
Factor 0 - 14045/6*a - 5/6*a**4 + 175/2*a**3 - 4505/2*a**2.
-5*a*(a - 53)**2*(a + 1)/6
Let o(j) = -1766*j - 28256. Let u be o(-16). Solve x + 1/4*x**2 - x**3 - 1/4*x**4 + u = 0.
-4, -1, 0, 1
Let o(f) be the first derivative of 2*f**5/15 + f**4 + 2*f**3 - 4*f**2/3 - 8*f - 140. Let o(r) = 0. Calculate r.
-3, -2, 1
Let j = 102107 - 102107. Factor 2*n**3 + 4/3*n**4 - 2/3*n**5 + j + 0*n + 0*n**2.
-2*n**3*(n - 3)*(n + 1)/3
Suppose -49387*q + 3*p - 76 = -49392*q, 0 = 2*p - 44. Let j be ((-3)/2)/(2/(-4)). Factor 4/3*v - 2/3*v**4 + 0 - 4/3*v**j + 2/3*v**q.
-2*v*(v - 1)*(v + 1)*(v + 2)/3
Let y(j) = -16*j**3 + 4585*j**2 - 256500*j - 194936. Let q(m) = -17*m**3 + 4575*m**2 - 256500*m - 194937. Let k(g) = -4*q(g) + 3*y(g). Factor k(i).
5*(i - 114)**2*(4*i + 3)
Let k be (-1 - 1)*(24970/(-1920) + 13). Let g(r) be the third derivative of 1/480*r**6 - k*r**4 - 1/6*r**3 + 0*r + 0 - 4*r**2 + 1/60*r**5. Solve g(f) = 0.
-4, -1, 1
Let u(q) be the first derivative of -q**6/300 + q**5/75 - q**4/60 - 54*q**2 + 218. Let s(a) be the second derivative of u(a). Find k such that s(k) = 0.
0, 1
Suppose 196*s = 200*s - 12. Solve -221 + 101 + 114 - s*o**2 + 9*o = 0.
1, 2
Determine j, given that 1 - 1/4*j**4 + j**3 - j - 3/4*j**2 = 0.
-1, 1, 2
Find s, given that 351/8 - 39/8*s**2 + 27/8*s - 3/8*s**3 = 0.
-13, -3, 3
Let a(l) be the second derivative of 0*l**3 - 1/6*l**4 + 0 - 65*l + 1/10*l**5 + 0*l**2 - 1/60*l**6. Find g such that a(g) = 0.
0, 2
Let n = 231 - 223. Determine h, given that 286*h**4 + 10*h**2 - 251*h**4 - 37*h**3 - n*h**3 = 0.
0, 2/7, 1
Let w(n) be the second derivative of -n**6/1440 - n**5/80 + 7*n**4/96 + 10*n**3 + 102*n. Let c(d) be the second derivative of w(d). What is h in c(h) = 0?
-7, 1
Factor 55*o**3 - 1385*o + 5*o**4 + 760 - 48*o**2 + 70*o**3 + 285*o**2 + 258*o**2.
5*(o - 1)**2*(o + 8)*(o + 19)
Let n(j) be the first derivative of -4*j**3/15 + 318*j**2/5 - 1256*j/5 - 92. Suppose n(a) = 0. What is a?
2, 157
Let z = -261 + 287. Factor -z*t - 8*t**2 - 8*t - 10*t - 10 + 9 - 19.
-4*(t + 5)*(2*t + 1)
Let j(k) be the first derivative of 0*k**2 + 0*k**3 - 1/63*k**7 - 16*k - 1 + 0*k**4 + 1/30*k**5 + 0*k**6. Let f(p) be the first derivative of j(p). Factor f(c).
-2*c**3*(c - 1)*(c + 1)/3
Suppose -184751*r = -184703*r - 144. Factor 8/3*o**2 + 1/3*o**r - 6 + 3*o.
(o - 1)*(o + 3)*(o + 6)/3
Let v = -447424 - -447436. Factor 74/7*l**2 + 24/7*l**3 + 2/7*l**4 + v*l + 32/7.
2*(l + 1)**2*(l + 2)*(l + 8)/7
Let o(z) = -11*z**4 - 124*z**3 + 444*z**2 - 1086*z + 681. Let h(y) = 12*y**4 + 138*y**3 - 443*y**2 + 1087*y - 682. Let r(x) = 6*h(x) + 7*o(x). Factor r(c).
-5*(c - 3)**2*(c - 1)*(c + 15)
Let r(l) be the first derivative of 2*l**3/3 - 950*l**2 + 451250*l + 3233. Factor r(c).
2*(c - 475)**2
Let i(a) = -20*a**3 + 7300*a**2 - 1483404*a + 100385116. Let y(l) = -13*l**3 + 4867*l**2 - 988941*l + 66923411. Let s(v) = -5*i(v) + 8*y(v). Factor s(c).
-4*(c - 203)**3
Let g(z) be the second derivative of -25*z**4/72 - 55*z**3/12 + 35*z**2/6 + z + 3832. Find m, given that g(m) = 0.
-7, 2/5
Let w(k) be the second derivative of -k**6/15 + k**5/10 + k**4/2 - k**3/3 - 2*k**2 - 4*k + 11. Factor w(x).
-2*(x - 2)*(x - 1)*(x + 1)**2
Let r = -42602 + 213011/5. Factor -7/5*t + r*t**2 + 6/5.
(t - 6)*(t - 1)/5
Let w(l) be the second derivative of -l**5/35 + l**4/7 + 14*l**3/3 + 90*l**2/7 + 3688*l. Suppose w(t) = 0. What is t?
-5, -1, 9
Suppose 0 = -3*p + 61 - 52. Find f such that 2*f**3 + 5*f**2 + 12*f - 25 + 4*f**2 + 5 - 3*f**p = 0.
-2, 1, 10
Find v, given that 314/9*v - 268/9*v**2 - 32/3 + 4/9*v**4 + 46/9*v**3 = 0.
-16, 1/2, 1, 3
Let y(g) be the first derivative of -2/13*g - 2/13*g**2 - 2/39*g**3 + 28. Solve y(s) = 0 for s.
-1
Let 150/7*j**3 - 1539/7 + 3/7*j**4 + 2538/7*j - 1152/7*j**2 = 0. What is j?
-57, 1, 3
Let c(a) be the second derivative of -a**4/4 + 33*a**3 - 192*a**2 - 2*a - 68. Suppose c(l) = 0. Calculate l.
2, 64
Find u, given that -297*u**2 - 195 - 279*u**2 + 67*u + 148*u + 556*u**2 = 0.
1, 39/4
Let o(l) be the third derivative of l**7/1785 + 9*l**6/85 + 53*l**5/85 + 79*l**4/51 + 35*l**3/17 + 21*l**2 - 8*l - 1. Factor o(v).
2*(v + 1)**3*(v + 105)/17
Let j be ((-284)/144 - -2)/((-1112)/(-2085)). Let o(v) be the third derivative of 0 + 0*v**3 + j*v**6 - 27*v**2 + 1/24*v**4 + 1/12*v**5 + 0*v. Factor o(k).
k*(5*k + 2)**2/4
Let a(z) be the first derivative of -3*z**7/14 - 7*z**6/5 - 12*z**5/5 - z**4/2 + 3*z**3/2 + 41*z - 55. Let u(f) be the first derivative of a(f). Solve u(o) = 0.
-3, -1, 0, 1/3
Suppose 3*r - 3*m - 15 = 0, 2*m = -4*r + 4*m + 10. Suppose 9 - 5 = 4*u, 84 = 4*b + 4*u. Let -b*i**2 + r*i - i - 12*i**3 + 27*i**2 = 0. What is i?
0, 1/4, 1/3
Let z(p) be the first derivative of -p**3 + 1533*p**2/2 - 3054*p + 5416. What is q in z(q) = 0?
2, 509
Suppose 0 = z - 4, 5*k = 5*z - 27 + 7. Suppose 0 = -3*l + 5*o + 16, 5*l + 4*o = -k*l + 2. Factor 2*q**3 + 2*q**3 - 4*q**l - 2*q**2 - 4*q**5 + 4*q**4 + 2*q**2.
-4*q**2*(q - 1)**2*(q + 1)
Let d be (8 + 203/(-28))/(3128/1408 - 2). Factor 242/13 + 2/13*j**2 - d*j.
2*(j - 11)**2/13
Suppose -l - 4*f = -8, 241*l = 246*l + 3*f - 6. Find o such that -38/11*o + l + 2/11*o**2 = 0.
0, 19
Let w(y) be the first derivative of -2/15*y**3 - 5*y**2 - 3/20*y**4 + 0*y - 7/150*y**5 + 7. Let c(k) be the second derivative of w(k). Solve c(s) = 0.
-1, -2/7
Let k(l) = l**4 + l**3 + 2*l**2. Let s(d) = 126*d**4 + 946*d**3 + 1656*d**2 + 1088*d + 240. Let h(i) = -6*k(i) - s(i). Find a, given that h(a) = 0.
-5, -1, -2/3, -6/11
Let n(t) be the first derivative of 117*t**2 + 18 - 48*t - 75/8*t**4 - 90*t**3. Suppose n(c) = 0. What is c?
-8, 2/5
Let o(x) = 4*x**3 + 8*x - 8. Let a be o(1). Let b be 20/9 - (-6)/(-27). Suppose -4 + b*q**4 + a + 6*q**5 + q**4 = 0. Calculate q.
-1/2, 0
Let y(g) be the third derivative of g**8/112 - 2*g**7/35 - 3*g**6/10 - g**