79*w**5/15 + 2*w**4/3 + 737*w**2 + 2. Let k(c) = 0. Calculate c.
-1, -2/39, 0, 2, 4
Let h(s) = -s**3 - 18*s**2 + 116*s + 36. Let x be h(-23). Let y = -10 + x. Let 0 - 1/7*p**y + 0*p - 2/7*p**2 = 0. Calculate p.
-2, 0
Suppose 261*z - 6 = 258*z. Factor -7*i - 4*i**z - 32*i - 27 + 3*i - 8*i**2.
-3*(2*i + 3)**2
Suppose -o - 2*t = 1 - 10, 0 = -2*o + 5*t. Let a = -36 + 39. Solve -1/5*g**4 - 1/5 - 1/5*g**o - 1/5*g + 2/5*g**2 + 2/5*g**a = 0.
-1, 1
Let z(r) be the first derivative of 13*r - 4 - 2/33*r**4 - 7/110*r**5 + 0*r**3 + 0*r**2. Let y(k) be the first derivative of z(k). Factor y(d).
-2*d**2*(7*d + 4)/11
Suppose 44 = 124*m - 123*m. Let o**2 - 24 - 20 + m = 0. Calculate o.
0
Determine q, given that 1/2*q**2 + 10 - 6*q = 0.
2, 10
Let w(z) = -210*z**3 - 383*z**2 - 119*z - 2. Let c(q) = -12*q**3 - q + 1. Let l(y) = 4*c(y) + w(y). Find a, given that l(a) = 0.
-1, -1/2, 2/129
Let c(o) be the third derivative of -o**6/540 + o**5/90 + 23*o**3/6 + 28*o**2 + 1. Let i(p) be the first derivative of c(p). Determine y so that i(y) = 0.
0, 2
Let k(x) be the second derivative of -x**5/15 - x**4/3 + 2*x**3 - 77*x**2 - 112*x. Let p(f) be the first derivative of k(f). Factor p(i).
-4*(i - 1)*(i + 3)
Let 5*i**5 + 10*i**4 - 19165*i**2 + 100*i + 80 + 6374*i**2 + 6371*i**2 - 55*i**3 + 6380*i**2 = 0. What is i?
-4, -1, 2
Solve -13120/17*g - 12800/17 - 3362/17*g**2 = 0.
-80/41
Let i(j) be the third derivative of -j**5/60 - 35*j**4/24 + 6*j**3 - 2*j**2 + 437*j + 1. Let i(s) = 0. What is s?
-36, 1
Let f(g) be the first derivative of -4*g**3/3 + 182*g**2 - 360*g + 10973. Suppose f(a) = 0. What is a?
1, 90
Let w(i) be the second derivative of i**7/126 - 34*i**6/5 - 1229*i**5/30 - 923*i**4/9 - 821*i**3/6 - 308*i**2/3 - 3815*i + 1. Factor w(q).
(q - 616)*(q + 1)**4/3
Let j(q) = -14*q + 242. Let c be j(16). Let a be 3/8 + 14 + (4 - c). Let 15/8*o - 3/4*o**2 - 3/2*o**3 + 3/2*o**4 - 3/4 - a*o**5 = 0. What is o?
-1, 1, 2
Let a(v) be the second derivative of 1/12*v**4 + 2*v + 7 + 3/8*v**2 + 1/160*v**5 + 13/48*v**3. Factor a(z).
(z + 1)**2*(z + 6)/8
Find p such that 201*p + 3*p**2 - 4*p**2 - 277*p + 0*p**2 + 246*p - 7225 = 0.
85
Let w = 10 + -7. Let p = 3311 + -3309. Factor 6*s**p + 6*s**4 + 3*s**5 - 5*s**2 - s**2 + 3*s**w.
3*s**3*(s + 1)**2
Factor 120*r + 592/5 + 156/5*r**2 + 2/5*r**3.
2*(r + 2)**2*(r + 74)/5
Let k be (-16792)/60*(-1 + -4). Let j = k + -1386. Suppose 8/3*n**3 + 1/3*n**4 - j*n + 2*n**2 + 25/3 = 0. What is n?
-5, 1
Let a = -6409/22 + 19579/66. Find c, given that 4/3*c**4 - a*c + 16/3*c**3 + 0 - 4/3*c**2 = 0.
-4, -1, 0, 1
Let n(l) be the second derivative of l**5/130 + 4*l**4/39 - 155*l**3/39 + 450*l**2/13 + 1523*l. Factor n(t).
2*(t - 5)**2*(t + 18)/13
Let o(h) be the second derivative of h**6/210 - 23*h**5/140 - 7*h**4/12 - 25*h**3/42 - 30*h - 17. Find d, given that o(d) = 0.
-1, 0, 25
Factor 1776*g - 95202 + 68367 - 367437 - 2*g**2.
-2*(g - 444)**2
Let x(f) be the third derivative of -f**6/585 - f**5/195 - f**4/156 + 4*f**3/3 - 3*f**2 - 3*f. Let m(l) be the first derivative of x(l). Factor m(i).
-2*(2*i + 1)**2/13
Let c(u) be the third derivative of -u**5/15 + 1165*u**4 - 8143350*u**3 + 2*u**2 + 11*u - 13. Factor c(a).
-4*(a - 3495)**2
Solve -y**3 - 58*y**2 + 1/2*y**5 + 1/2*y + 29 + 29*y**4 = 0 for y.
-58, -1, 1
Suppose 4*u - 9*u = -3*u, 0 = 2*w - 3*u - 8. Let o(v) be the second derivative of -10*v + 1/36*v**w - 5/9*v**3 + 25/6*v**2 + 0. Factor o(j).
(j - 5)**2/3
Let r = 23 + -19. Let g = 3014 + -3009. Factor -8/17*w**g - 4/17*w**2 - 6/17 + 16/17*w - 24/17*w**3 + 26/17*w**r.
-2*(w - 1)**4*(4*w + 3)/17
Let x(r) be the second derivative of 0 + 1/60*r**6 + 0*r**4 - 11*r + 1/2*r**2 + 1/15*r**5 + 0*r**3. Let o(v) be the first derivative of x(v). Factor o(d).
2*d**2*(d + 2)
Let v = -85 + 1973. Let z = 1892 - v. Solve 0 - 2/3*m**z + 4*m**3 - 14/3*m**2 - 1/3*m**5 + 5/3*m = 0 for m.
-5, 0, 1
Let v(m) be the third derivative of -m**8/42 - 82*m**7/105 - 33*m**6/5 - 364*m**5/15 - 116*m**4/3 + m**2 + 267*m + 1. Factor v(k).
-4*k*(k + 2)**3*(2*k + 29)
Factor 342*y - 1540/9 + 4/9*y**2.
2*(y + 770)*(2*y - 1)/9
Let z be (19/15 - 558/930)*6/2. Let m(c) be the second derivative of -2*c**z + 5/3*c**3 + 0 + 7/6*c**4 + 9*c. Factor m(k).
2*(k + 1)*(7*k - 2)
Let w(p) be the second derivative of 7*p**5/4 - 3085*p**4 + 8805*p**3/2 + 5285*p**2 + 1974*p. Find n, given that w(n) = 0.
-2/7, 1, 1057
Let s(d) = -31 + 69 - 3*d**2 + 45 + 10 + 23*d. Let n(z) be the first derivative of -z**3/3 - z**2/2 - z - 19. Let x(i) = -5*n(i) + s(i). Factor x(j).
2*(j + 7)**2
Let f = 40627/252 - -65/63. Let u = f + -162. Determine n, given that -3/4*n**3 - u*n**4 - 1/2*n**2 + 0 + 0*n = 0.
-2, -1, 0
Let j(o) be the second derivative of 81*o**5/80 + 257*o**4/4 + 9823*o**3/8 + 1083*o**2/4 + 2763*o + 2. Factor j(n).
3*(n + 19)**2*(27*n + 2)/4
Let w(b) be the third derivative of 0 + 67*b**2 + 0*b + 1/5*b**5 + 0*b**3 - 4/3*b**4 + 1/6*b**6. Solve w(l) = 0 for l.
-8/5, 0, 1
Suppose 140 = 23*b + 12*b. Suppose b*w + 0*w - 5*w = 0. Suppose 0*a - 3/2*a**2 - 1/2*a**3 + w = 0. Calculate a.
-3, 0
What is q in -14*q - 38 - q**3 - 51*q + 4*q**4 + 114*q**2 + 83*q**3 + 63*q = 0?
-19, -1, 1/2
Let h(r) be the first derivative of -r**5 + 25*r**4 + 140*r**3/3 - 3920*r**2 + 53. Find a, given that h(a) = 0.
-8, 0, 14
Determine d, given that 0 + 16/3*d + 16/9*d**4 + 58/9*d**3 - 116/9*d**2 - 2/3*d**5 = 0.
-3, 0, 2/3, 1, 4
Let g(k) = -12*k**4 + 227*k**3 - 2235*k**2 + 2592*k - 3. Let h(f) = 14*f**4 - 228*f**3 + 2236*f**2 - 2592*f + 4. Let s(x) = -8*g(x) - 6*h(x). Factor s(l).
4*l*(l - 18)**2*(3*l - 4)
Find f, given that -446/5*f + 0 - 2/5*f**2 = 0.
-223, 0
Suppose 0 = 3*b + 2*n + 158, -n - 15 = 3*b + 142. Let q be ((-1)/11)/(b/1716). Factor 0*p**2 - 2/3*p + 2/9*p**q + 4/9.
2*(p - 1)**2*(p + 2)/9
Suppose -86*s + 89*s = -9. Let f be (s/14)/(116/28 + -5). Solve z**3 + 1/2*z - 7/4*z**2 + f = 0.
-1/4, 1
Let p = 13966 - 27931/2. Let w(j) be the first derivative of -2/3*j**3 - 1/4*j**4 - 32 + 2*j + p*j**2. Let w(u) = 0. What is u?
-2, -1, 1
Let d(h) be the first derivative of -h**5/20 - 5*h**4/24 + h**3/3 + 3*h**2 - 7*h - 37. Let k(m) be the first derivative of d(m). Solve k(u) = 0.
-2, 3/2
Let p(k) = 1612*k. Let x be p(0). Find o such that 2/7*o**2 + x*o - 2/7 = 0.
-1, 1
Let q(m) = -m**2 - 1 - 16884*m + 16884*m. Let l(a) = -4*a**2 - 21*a - 1. Let k(u) = l(u) - q(u). Solve k(f) = 0 for f.
-7, 0
Suppose -4 = -10*s + 9*s. Suppose 7*g = 5*g + s. Suppose -t**2 + g*t + 4*t**2 - 2*t**3 + 17*t**4 - 20*t**4 = 0. What is t?
-1, -2/3, 0, 1
Suppose -4*v - 95 - 38 = -5*z, -90 = -4*z - 5*v. Let m = 25 - z. Let -2/5*d**4 + 0 + m*d - 2/5*d**2 - 4/5*d**3 = 0. What is d?
-1, 0
Let w(g) be the first derivative of -2*g**3/13 - 863*g**2/13 - 1148*g/13 - 280. Factor w(o).
-2*(o + 287)*(3*o + 2)/13
Let u(i) = -i**3 + 11*i**2 - 9*i - 6. Let s be u(10). Let r = -56 + 62. Determine k, given that 5*k**3 - 2*k**3 - s*k**2 - r*k**2 + k**2 = 0.
0, 3
Factor -2048/5*l + 672/5*l**2 - 88/5*l**3 + 2048/5 + 4/5*l**4.
4*(l - 8)**2*(l - 4)*(l - 2)/5
Let h = 577 + -552. Factor h*x**2 + 54*x - 10*x**2 + 25*x**3 - 214*x + 60.
5*(x - 2)*(x + 3)*(5*x - 2)
Suppose -6*x = 45 - 99. Suppose 3*d**5 - 2*d**4 + 333*d**2 - x*d**4 + 0*d**5 + 8*d**3 - 329*d**2 = 0. Calculate d.
-1/3, 0, 2
Let t(q) = -q**3 - 4*q**2 - 4*q - 1. Let l be t(-3). Factor -l*s + 23 - 7 - 6*s - 7 - s**2.
-(s - 1)*(s + 9)
Suppose -63 = 41*d - 48*d. Let c be 2 + 63/d - 6. Let -1/4*o**4 + o**2 + 0*o**c + 0 + 0*o = 0. What is o?
-2, 0, 2
Let o(f) = -49*f + 198. Let m(y) = -50*y + 194. Let v(l) = 5*m(l) - 6*o(l). Let a be v(5). Factor 3/7*w**a - 36/7 - 3/7*w**3 + 24/7*w.
-3*(w - 2)**2*(w + 3)/7
Find q, given that 820/11*q + 336/11 - 40/11*q**3 + 450/11*q**2 - 6/11*q**4 = 0.
-12, -1, -2/3, 7
Suppose -6*o = -13*o + 49. Suppose 11*l - 3*s - 15 = o*l, 5*l = 2*s + 17. Factor 2/5*w**l - 6/5*w**2 + 2/5*w**4 + 4/5 - 2/5*w.
2*(w - 1)**2*(w + 1)*(w + 2)/5
What is n in 115/6 + 17/6*n**2 - 1/6*n**3 + 133/6*n = 0?
-5, -1, 23
Let d be (-7)/(-14) + (-4)/((-8)/5). Suppose 2*f - f - d = 0. Solve -6*b**3 + 7*b**3 - 3 + f*b - 2*b**2 - 7*b**3 - 3*b**4 + 8*b**2 + 3*b**5 = 0 for b.
-1, 1
Let d(u) be the second derivative of -23*u**7/4410 - 5*u**6/252 - u**5/105 + 20*u**4/3 - u**3/3 - 156*u. Let k(x) be the third derivative of d(x). Factor k(v).
