 second derivative of 12*k**2 + 2/3*k**t + 0 - 8*k - 1/3*k**4. Factor c(q).
-4*(q - 3)*(q + 2)
Suppose -6 + 1 = o, -2*i + 136 = -4*o. Factor i - 6*b**4 - 58 + b**5 + 9*b**3.
b**3*(b - 3)**2
Suppose 37*p - 41 = 11*p + 37. Factor -20/3 + 20*x**2 + 18*x - 14/3*x**p.
-2*(x - 5)*(x + 1)*(7*x - 2)/3
Let o be 1/(-3) + (-10)/(36720/69867). Let g = -153/8 - o. Suppose g*d + 22/17*d**3 - 26/17*d**2 + 0 = 0. Calculate d.
0, 2/11, 1
Let b(g) be the third derivative of g**8/40320 + g**7/3360 + g**6/720 + 11*g**5/10 - 95*g**2 - 2*g. Let s(n) be the third derivative of b(n). Factor s(y).
(y + 1)*(y + 2)/2
Let m(a) be the second derivative of a**5/30 - 21*a**4/2 + 1023*a**3 - 8649*a**2 + 4356*a. Let m(c) = 0. Calculate c.
3, 93
Let v(d) be the second derivative of 2*d**4 - 37*d**3/2 - 45*d**2/2 + 8357*d. Find u such that v(u) = 0.
-3/8, 5
What is d in 50*d**3 + 6133*d + 84*d**3 - 4*d**4 - 44*d**3 + 74*d**3 - 5400 - 1273*d - 1476*d**2 = 0?
3, 5, 30
Let z(g) = -4*g**2 - 6*g + 9. Let p(t) = t**2. Suppose -q = -2*r - 12, 2*r - 1 = 2*q - 15. Let f(x) = r*p(x) - z(x). Solve f(k) = 0.
3
Let r be ((-4)/(-6))/((-11)/((-1815)/22)). Find n such that -28*n**r + 158*n - 96*n**2 - 120*n**4 - 89*n - 85*n - 172*n**3 = 0.
-2, -1, -2/7, 0
Suppose 7*k = 5*k + 6. Suppose 18 + 17*g**3 - 10*g**k - 8*g**3 - 2*g**3 + 21*g = 0. What is g?
-2, -1, 3
Let s(x) be the third derivative of x**9/120960 + x**8/13440 + x**7/5040 + 17*x**5/12 + 64*x**2. Let a(m) be the third derivative of s(m). Factor a(g).
g*(g + 1)*(g + 2)/2
Suppose -18 = -11*t + 4. Suppose -t*r**2 - 14*r + 434 - 434 = 0. Calculate r.
-7, 0
Let k be (-5)/((-3 - (-21)/5)/(184/(-230))). Factor 4*d**3 + 1/3*d**5 + d + 0 + 2*d**4 + k*d**2.
d*(d + 1)**3*(d + 3)/3
Let t(r) = 6*r - 58. Let p be t(10). Suppose -38*g**p + 27*g**2 + 4*g + 13*g**2 = 0. Calculate g.
-2, 0
Let b(x) be the first derivative of -x**5/30 + 15*x**4/2 - 675*x**3 - 12*x**2 - 96. Let r(i) be the second derivative of b(i). Factor r(d).
-2*(d - 45)**2
Let i = -84986 - -84989. Factor 0 + 125/2*g + 5/2*g**i + 25*g**2.
5*g*(g + 5)**2/2
Let g(w) be the first derivative of 5*w**3/3 + 4040*w**2 + 3264320*w + 1463. Let g(h) = 0. Calculate h.
-808
Let p(i) be the first derivative of i**6/360 + i**5/15 - 3*i**4/8 - 2*i**3/3 + 32*i + 86. Let c(n) be the third derivative of p(n). Factor c(r).
(r - 1)*(r + 9)
Let t be (-4 - (-18)/3) + ((-89187)/1440)/31. Let c(l) be the third derivative of 0*l**3 + 0 - t*l**5 + 0*l + 13*l**2 - 1/96*l**4. Factor c(s).
-s*(s + 2)/8
Suppose -1/5*z**2 - 259/5 + 44/5*z = 0. Calculate z.
7, 37
Factor -2*z**2 - 51504 - 34*z - 51495 - 18*z + 103111.
-2*(z - 2)*(z + 28)
Let j(k) = -93*k**3 - 450*k**2 + 540*k + 939. Let o(q) = 9*q**3 + 45*q**2 - 54*q - 94. Let h(i) = 2*j(i) + 21*o(i). Find s, given that h(s) = 0.
-16, -1, 2
Let y(b) = 1123*b - 5. Let p be y(3). Suppose 88*w + 2*w**2 - 58*w + 50*w + 36*w - 3*w**2 - p = 0. Calculate w.
58
Let d = -3720 - -3726. Let x(j) be the third derivative of -1/30*j**d - 4*j**2 + 1/2*j**3 - 5/12*j**4 + 0*j + 11/60*j**5 + 0. Factor x(t).
-(t - 1)**2*(4*t - 3)
Let z be -19*(-140)/532 + -3. Determine n, given that -2/5*n**4 - 6/5*n**3 + 0*n**z + 8/5*n + 0 = 0.
-2, 0, 1
Let w = 746 - 756. Let u be ((224/(-7))/2)/(-1 + w). Suppose 0 + 0*n - 12/11*n**3 + u*n**2 + 2/11*n**4 = 0. Calculate n.
0, 2, 4
Let y(b) be the third derivative of 0*b + 59*b**2 + 1 + 1/180*b**6 + 2*b**3 + 37/36*b**4 + 2/9*b**5. What is t in y(t) = 0?
-18, -1
Let v be -9 - (-3)/(((-2)/(-4))/((-2001)/(-174))). Let -v - 3/2*u**2 + 123/2*u = 0. Calculate u.
1, 40
Suppose 869/5*c**3 - 332/5*c**2 + 4/5*c**5 + 444/5*c**4 - 543/5*c + 218/5 = 0. Calculate c.
-109, -2, -1, 1/2
Let f(p) be the first derivative of p**3/2 - 15*p**2 + 144*p + 545. Determine d so that f(d) = 0.
8, 12
Let z(p) be the third derivative of p**6/720 - 19*p**5/40 - 8299*p**2. What is c in z(c) = 0?
0, 171
Suppose -24 = 4*y - 44. Let -3*x**4 + 10*x**y - x**2 + x**5 - x - 10*x**5 + 5*x**4 - x**2 = 0. Calculate x.
-1, 0, 1
Let p(f) be the first derivative of -8*f**6/9 + 2*f**5/15 + 115*f**4/24 - 19*f**3/3 + 9*f**2/4 + 3626. What is a in p(a) = 0?
-9/4, 0, 3/8, 1
Let b = -2153 + 4882. Factor 2729*u - b*u + 35*u**3 - 10*u**2.
5*u**2*(7*u - 2)
Suppose 0 = 5*u - 15 - 0. Let x = -301 - -429. Factor x*b**4 - 66*b**4 - 65*b**4 - 3*b**u.
-3*b**3*(b + 1)
Let z(d) be the third derivative of -d**6/2160 - 7*d**5/720 + d**4/18 + 41*d**3/3 - 7*d**2 + 1. Let r(q) be the first derivative of z(q). Factor r(u).
-(u - 1)*(u + 8)/6
Let t be (1 - -1)/((-62910)/(-233)). Let k(q) be the third derivative of -t*q**5 + 0*q**4 + 0*q + 1/135*q**6 + 0*q**3 - 2/945*q**7 + 9*q**2 + 0. Factor k(a).
-4*a**2*(a - 1)**2/9
Let x = -7670/27 + 2558/9. Let q(r) be the third derivative of -x*r**3 + 1/90*r**5 - 1/540*r**6 + 0 + 21*r**2 + 0*r + 0*r**4. Factor q(t).
-2*(t - 2)**2*(t + 1)/9
Let v be 3585/36*48/(-1600) - -3. Let k(w) be the third derivative of 0*w**6 - 20*w**2 - v*w**5 + 0*w + 0*w**3 + 0 + 1/48*w**4 + 1/840*w**7. Factor k(o).
o*(o - 1)**2*(o + 2)/4
Let y(s) be the second derivative of 15*s**6/17 + 327*s**5/34 + 887*s**4/51 + 388*s**3/51 + 24*s**2/17 + 646*s + 2. Solve y(d) = 0 for d.
-6, -1, -2/15
Let n(r) be the second derivative of r**7/22680 + r**6/1080 - 7*r**5/1080 + 13*r**4 + 2*r. Let v(o) be the third derivative of n(o). Solve v(m) = 0 for m.
-7, 1
Let u(j) = j**2 + 25*j + 26. Let k be u(-24). Factor -4*z**3 - 4*z**3 + 5*z**3 + 2*z**3 - k*z + 7*z**2 + 10*z.
-z*(z - 8)*(z + 1)
Let b(u) be the first derivative of -27*u**6/2 - 322*u**5/5 - 397*u**4/4 - 152*u**3/3 + 2*u**2 - 859. Solve b(d) = 0 for d.
-2, -1, 0, 2/81
Let j(k) be the third derivative of -1/360*k**5 + 2*k - 1/72*k**4 + 0 + 3*k**2 + 1/720*k**6 + 0*k**3. Find f such that j(f) = 0.
-1, 0, 2
Let l(h) be the first derivative of 10*h**3/3 - 1465*h**2/2 - 735*h - 9693. Solve l(d) = 0 for d.
-1/2, 147
Let w(j) = 165*j + 1982. Let n be w(-12). Let f = 463 - 2279/5. Let f + 6/5*g**n - 42/5*g = 0. What is g?
1, 6
Determine r so that r + 8 + 9*r - 4*r**2 - 6*r = 0.
-1, 2
Let f(b) be the first derivative of b**5/5 + 13*b**4 + 725*b**3/3 + 625*b**2 - 1146. Factor f(n).
n*(n + 2)*(n + 25)**2
Suppose 16*x - 768 = 4*x. Factor -547 + 1888*l**3 - x*l**4 + 2737*l + 4763*l**2 - 9817*l - 353 - 18207*l**2.
-4*(l - 15)**2*(4*l + 1)**2
Factor 66/5*a + 32/5*a**3 - 16*a**2 - 18/5.
2*(a - 1)*(4*a - 3)**2/5
Let i(u) be the second derivative of u**6/75 - 16*u**5/25 - 38*u**4/15 + 272*u**3/15 - 1224*u + 2. Factor i(b).
2*b*(b - 34)*(b - 2)*(b + 4)/5
Let j be (-1)/(-2) + (-2 - 27/(-6)). Factor 3*y**2 + 3*y**2 - j*y**2 + 484 + y**2 + 120*y - 32*y.
4*(y + 11)**2
Let n(o) be the third derivative of o**6/40 + 19*o**5/10 - 41*o**4/8 - 39*o**3 + 347*o**2 - 2. Solve n(h) = 0.
-39, -1, 2
Suppose -6*c - 4526 + 4556 = 0. Let y(s) be the second derivative of 0 + 1/4*s**2 - 1/8*s**c - 1/24*s**4 - 23*s + 5/12*s**3. Suppose y(r) = 0. Calculate r.
-1, -1/5, 1
Let y(m) = -65*m + 401. Let u(j) = -16*j + 100. Let x(t) = 18*u(t) - 4*y(t). Let h be x(7). Factor 0 + 18/5*k**4 + 0*k + 14/5*k**5 + 4/5*k**3 + h*k**2.
2*k**3*(k + 1)*(7*k + 2)/5
Let a(b) = -24*b**3 + 1945*b**2 + 1475*b - 482. Let t(v) = 122*v**3 - 9725*v**2 - 7375*v + 2406. Let y(u) = 11*a(u) + 2*t(u). Factor y(o).
-5*(o - 98)*(o + 1)*(4*o - 1)
Let s(a) = 39*a**2 + 6*a - 2853. Let v(d) = 4*d**2 - 2*d - 2. Let f(u) = s(u) - 9*v(u). Let f(h) = 0. What is h?
-35, 27
Let h(d) = -d + 19. Let f be h(15). Let y be f/(-14) + (-23)/(-7). Determine k so that -61*k + 15*k**5 - 9 - 35*k**y - 3*k - 135*k**2 - 36*k - 11 + 35*k**4 = 0.
-2, -1, -1/3, 2
Let c(t) = -t**2 - 637*t - 96328. Let a be c(-390). Find s such that -1/11*s**4 + 4/11 - 5/11*s**3 + 5/11*s - 3/11*s**a = 0.
-4, -1, 1
Let l(s) = -48*s**2 - 1188*s - 3720. Let i(m) = -10*m**2 - 236*m - 744. Let x(a) = -14*i(a) + 3*l(a). Factor x(k).
-4*(k + 3)*(k + 62)
Let l(r) = 5*r**3 + 52*r**2 - 190*r - 1260. Let z(f) = 2*f**3 + 26*f**2 - 99*f - 630. Let c(d) = -3*l(d) + 7*z(d). Factor c(v).
-(v - 15)*(v - 14)*(v + 3)
Find r such that -3 + 1 + 2 + 1420*r**3 - 1417*r**3 + 1140*r**2 = 0.
-380, 0
Let c be (-2)/(-4) + 156/8 + -5. Suppose -4*f + c = f. Find y, given that -3*y - 15 + 9 - 5*y - f*y**2 - y = 0.
-2, -1
Let b(i) be the third derivative of -i**6/1260 + 64*i**5/105 - 383*i**4/252 - 2*i**2 + 4*i + 