3*r**2.
-2*r**2*(3*r + 2)*(5*r - 2)**2
Let y = 224713/7 - 32101. Factor -2/7*o + 0 - y*o**3 + 2/7*o**4 + 6/7*o**2.
2*o*(o - 1)**3/7
Let k = -22 + 58. Suppose -k + 16 = -4*r. Factor 2/7*o**3 - 2/7*o**4 + 0*o - 2/7*o**r + 0 + 2/7*o**2.
-2*o**2*(o - 1)*(o + 1)**2/7
Let x = -12137/134 - -5/67. Let v = 94 + x. Factor 1/2 + v*s + 9/2*s**3 + 15/2*s**2.
(s + 1)*(3*s + 1)**2/2
Let v(k) = 3*k**2 + 9*k + 8. Let x be v(-2). Let m(c) be the first derivative of -1/4*c**2 - 1/12*c**3 - x - 1/4*c. Solve m(g) = 0 for g.
-1
Let c(o) = -2*o**3 + 16*o**2 - 32. Let i(a) = 22*a**3 - 14*a**3 - a**4 - 7*a**3. Let b(w) = c(w) + 2*i(w). Factor b(r).
-2*(r - 2)**2*(r + 2)**2
Let o(d) = -19*d**5 - 48*d**4 - 435*d**3 - 1099*d**2 - 1008*d - 324. Let h(p) = -2*p**5 - p**4 - 2*p**2. Let r(t) = 18*h(t) - 2*o(t). Find v such that r(v) = 0.
-18, -1
Let w = -5 + 8. Let x(k) be the first derivative of 4*k**3 + w + k**2 + k**2 - 1 + 0. Solve x(o) = 0.
-1/3, 0
Let n(h) = 7*h + 37. Let j be n(-5). Find r, given that -22*r + 2*r**3 - 4 + 6*r**2 - 14*r**j - 8 = 0.
-1, 6
Let d(x) = -x**2 + 13*x + 18. Let g be d(14). Factor 0*k**4 - 15*k**2 - 2*k**5 + 11*k**2 + 2*k + g*k**4.
-2*k*(k - 1)**3*(k + 1)
Suppose 0*q + 0*q**2 + 3*q**3 + 3/7*q**5 + 0 + 24/7*q**4 = 0. What is q?
-7, -1, 0
Factor -80*j**3 + 156*j**4 + 47*j**2 - 76*j**4 - 82*j**4 + 35*j**2.
-2*j**2*(j - 1)*(j + 41)
Let s = 19256/5 + -3850. Let -1/5*g**2 - 1 + s*g = 0. Calculate g.
1, 5
Factor 0*j**4 - 20*j**2 + 10*j**4 - 5*j**4.
5*j**2*(j - 2)*(j + 2)
Let m(g) be the second derivative of -g**4/30 - g**3/5 - g - 5. Factor m(f).
-2*f*(f + 3)/5
Let g = 4/13615 + 27178/176995. Let a(q) = q - 1. Let r be a(3). Solve 0 - g*t**r + 0*t - 2/13*t**4 + 4/13*t**3 = 0 for t.
0, 1
Let f be ((-1)/(-9))/((-9)/(5 + -32)). Let b(w) = -w**3 - 12*w**2 - w - 10. Let r be b(-12). Suppose -1/3*k**3 - f + 1/3*k**r + 1/3*k = 0. Calculate k.
-1, 1
Let k(y) be the second derivative of -y**4/48 + 23*y**3/12 - 529*y**2/8 - 5*y - 7. Factor k(f).
-(f - 23)**2/4
Let x(g) = -9*g**2 - 15*g. Let y(q) = -7*q**2 - 15*q. Let d(u) = 5*x(u) - 6*y(u). Factor d(n).
-3*n*(n - 5)
Factor 4/3*w**3 - 4/3*w + 0 + 0*w**2.
4*w*(w - 1)*(w + 1)/3
Suppose 15 = -8*w + 11*w. Suppose p + 4*p - 10 = 3*m, w*p - 10 = m. Determine h, given that 4*h**2 - 5*h**3 - h**2 + 10*h - 10*h**p + 2*h**2 = 0.
-2, 0, 1
Let v = 242779/7 + -34740. Let k = -57 - v. Suppose 2/7 + k*q**2 - 4/7*q = 0. Calculate q.
1
Let -57/4*g + 3/2 - 81/4*g**5 - 159/2*g**4 - 72*g**2 - 231/2*g**3 = 0. What is g?
-1, 2/27
Let f(o) be the third derivative of -o**5/60 + 9*o**4/8 + 386*o**2. Solve f(l) = 0.
0, 27
Let o(f) be the second derivative of 5*f**4/12 + 55*f**3/3 + 237*f. Factor o(u).
5*u*(u + 22)
Let u = 31 - 27. Factor -9*m**3 + 10*m**u + 14*m**3 - 4*m**2 - m**2.
5*m**2*(m + 1)*(2*m - 1)
Suppose -32 = -4*d + 4*q, -7*q = -d - 2*q + 24. Suppose -5*z + 19 - d = 0. Solve 6 - 10 + 6*f**3 + z + 5 + 14*f + 16*f**2 = 0 for f.
-1, -2/3
Suppose -2*y = -2*g - 6, -3*g - 7 = -4*y + 2. Suppose y = -2*l + 3*l - 0*l. Find d, given that l + 2/5*d**2 + 7/5*d**3 + 0*d = 0.
-2/7, 0
Let i = -65 + 46. Let p = 19 + i. Factor -1/3*u**5 + 2/3*u**4 + 0 + 1/3*u + p*u**3 - 2/3*u**2.
-u*(u - 1)**3*(u + 1)/3
Let m = -12 + 15. Suppose m = -a + 8. Suppose -6*k**2 - a*k**3 - 16*k - k**3 - 4*k**2 - 8 + 4*k**3 = 0. Calculate k.
-2, -1
Let n(q) be the third derivative of -q**7/1995 + q**6/1140 + 3*q**5/190 + 11*q**4/228 + 4*q**3/57 + q**2 + 69. What is m in n(m) = 0?
-1, 4
Let p(l) be the first derivative of -5*l**3/3 - 80*l**2 + 438. Factor p(r).
-5*r*(r + 32)
Let c(i) be the first derivative of i**4/48 + i**3/12 + 4*i + 9. Let u(z) be the first derivative of c(z). Let u(w) = 0. What is w?
-2, 0
Suppose -10*w = -330 + 80. Suppose w + 5*d**2 + 16*d - 55 + 9*d = 0. Calculate d.
-6, 1
Let q(n) = -5*n**4 + 12*n**3 + 17*n**2 - 4*n. Let l(p) = p**4 - p**3 - 2*p**2 + p. Let k(b) = -4*l(b) - q(b). Factor k(j).
j**2*(j - 9)*(j + 1)
Let s(w) be the second derivative of -5*w**6/12 - 4*w**5 - 185*w**4/24 - 25*w**3/6 - 50*w. Solve s(o) = 0 for o.
-5, -1, -2/5, 0
Suppose 2*g - 4 = 6. Let j(w) = -2*w**3 - 5*w**2 + 2*w. Let m(s) = 2*s**3 + 5*s**2 - 3*s. Let z(c) = g*j(c) + 4*m(c). Let z(t) = 0. What is t?
-2, -1/2, 0
Let c(d) be the second derivative of d**5/4 - 25*d**4/12 + 10*d**3/3 - 4*d + 14. Factor c(m).
5*m*(m - 4)*(m - 1)
What is q in 66/5*q - 69/5*q**3 + 48/5 - 3*q**4 + 3/5*q**5 - 33/5*q**2 = 0?
-2, -1, 1, 8
Let t be -3 - 1 - -3 - 324/(-316). Let w = 719/316 - t. Factor 3 + w*f**2 + 6*f.
3*(f + 2)*(3*f + 2)/4
Let o(j) be the second derivative of 18*j + 0*j**4 + 0*j**5 + 0 - 1/30*j**6 + 0*j**3 + 1/42*j**7 + 0*j**2. Factor o(b).
b**4*(b - 1)
Let o = 3097/4659 - -3/1553. Let t be 8/14*28/12. Factor t + o*n - 2/3*n**2.
-2*(n - 2)*(n + 1)/3
Let a(s) = 2*s**5 + s**4 - 1. Let z(x) = -8*x**5 + 652*x**4 + 327*x**3 + 41*x**2 - 4. Let m(t) = -4*a(t) + z(t). Let m(c) = 0. Calculate c.
-1/4, 0, 41
Let v(r) be the second derivative of r**7/14 + r**6/5 - 21*r**5/20 - 5*r**4 - 6*r**3 + 35*r + 3. Solve v(p) = 0.
-2, -1, 0, 3
Let k(n) be the first derivative of 3*n**4/4 + 28*n**3 - 177*n**2/2 + 90*n - 144. Suppose k(x) = 0. Calculate x.
-30, 1
Let j = -5 - -8. Let h be 10/(-5)*j/(-2). Factor 2*s**2 + h*s**3 - 3*s**4 + 6*s**4 - 2*s**2.
3*s**3*(s + 1)
Let a(o) be the first derivative of -23 - 2/9*o**3 + 11/3*o**2 - 20/3*o. Factor a(x).
-2*(x - 10)*(x - 1)/3
Suppose -5*c - 2*s - 3*s + 50 = 0, s = 0. Factor -3*z**5 - 2*z**3 + 18*z**4 - 6*z**4 - c*z**3.
-3*z**3*(z - 2)**2
Let l(h) be the second derivative of -h**6/50 + 192*h**5/25 - 2193*h**4/2 + 63580*h**3 - 368475*h**2/2 + 89*h - 2. What is k in l(k) = 0?
1, 85
Let p = 89 - 86. Let a(i) be the first derivative of -3/5*i**5 + 3*i**p + 6*i**2 - 12*i - 2 - 3/2*i**4. Factor a(x).
-3*(x - 1)**2*(x + 2)**2
Let l(b) be the second derivative of 0 - 5*b + 0*b**3 + 1/33*b**4 + 2/165*b**6 + 0*b**2 - 1/22*b**5. Factor l(a).
2*a**2*(a - 2)*(2*a - 1)/11
Let s(u) be the third derivative of -u**6/840 - u**5/60 - u**4/24 + 5*u**3/14 + 4*u**2 + 54. Solve s(b) = 0 for b.
-5, -3, 1
Let u = 13447/6 + -2241. Factor u*q**3 + 0*q + 0 + 1/6*q**2.
q**2*(q + 1)/6
Let o(q) be the first derivative of -q**6/6 - 3*q**5/5 + q**4 + 16*q**3/3 - 16*q + 134. Find y such that o(y) = 0.
-2, 1, 2
Let d(u) = -u**3 + 6*u**2 + 10*u + 6. Let j be d(7). Suppose -2187 - 54*q**2 - j*q**2 - 3*q**3 + 729*q + 2*q**3 + 4*q**3 = 0. Calculate q.
9
Let 3*h**2 + 8202 + 270*h - 10776 + 8649 = 0. Calculate h.
-45
Suppose -8/3 + 134/3*p**2 + 66*p**4 + 8*p - 308/3*p**3 - 40/3*p**5 = 0. What is p?
-1/4, 1/5, 1, 2
Determine m so that 30/7*m**4 - 450/7*m - 60/7*m**3 - 162/7 - 2/7*m**5 - 380/7*m**2 = 0.
-1, 9
Let q(p) be the first derivative of 0*p + 0*p**2 + 2/3*p**3 + 2/25*p**5 + 3/5*p**4 - 22. Solve q(f) = 0.
-5, -1, 0
Suppose 254*g - 222*g = 96. Let 16/7 + 6/7*z**g - 24/7*z + 4/7*z**2 - 2/7*z**4 = 0. What is z?
-2, 1, 2
What is t in 10/7*t + 0 + 4/21*t**2 - 2/21*t**3 = 0?
-3, 0, 5
Let p(y) be the second derivative of -5*y**5/7 - 195*y**4/7 - 22*y**3 - 46*y**2/7 + 645*y. Factor p(u).
-4*(u + 23)*(5*u + 1)**2/7
Suppose 0 = -f - 32 + 34. Factor 0*b**f - 3*b**2 - 91*b - 38 + 8 + 70*b.
-3*(b + 2)*(b + 5)
Let a(f) be the second derivative of -f**7/10080 - f**6/720 - f**5/160 + 11*f**4/12 - 8*f. Let g(l) be the third derivative of a(l). What is j in g(j) = 0?
-3, -1
Factor 0 + 4*k + 4/3*k**4 + 28/3*k**2 + 20/3*k**3.
4*k*(k + 1)**2*(k + 3)/3
Let u be 888/(-64) + 9 - (-10)/2. Let o(r) be the second derivative of 0*r**3 + u*r**2 + 0 - 1/48*r**4 + 7*r. Factor o(x).
-(x - 1)*(x + 1)/4
Let j(u) be the second derivative of -1/6*u**4 + 0 + 0*u**2 + 0*u**3 + 1/10*u**5 + 2*u. Let j(b) = 0. Calculate b.
0, 1
Solve 8 - 36*l - 8*l**4 + 4*l**3 + 18*l**2 - 28*l**4 + 10*l**2 + 32*l**3 = 0.
-1, 1/3, 2/3, 1
Let w be -3 + 5/2 - (-29)/2. Factor -2*h**2 + 3*h**3 - w*h + 9*h + 6*h - 2*h**3.
h*(h - 1)**2
Suppose 6*i - 10 = 4*i. Find c, given that -10*c**3 + 3*c**4 - 4 - 11*c - i*c**4 - 16*c**2 - 3*c - 2*c**2 = 0.
-2, -1
Suppose s - 2 = 3*o, o + 2*s + 27 - 45 = 0. Solve 0 + 0*n**o + 0*n**4 - 2/15*n**3 + 2/15*n**5 + 0*n = 0 for n.
-1, 0, 1
Let y = -2270/11 - -206. Let z = 58/99 + y. What is f in 4/9 - 10/9*f**3 - 16/9*f**2 - z*f = 0?
-1, 2/5
Let 0 + 0*x**3 + 2/5*x + 3/5*x**2 - 1/5*x**4 = 0. Calculate x.
-1, 0, 2
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