 17 = 3*t - g, 2*t + 2*g - 8 = 0. Suppose 0 = t*o + 5*q + 5, -3*q - 9 - 3 = 0. Factor -3*w**2 - 45*w + o*w**4 + 45*w.
3*w**2*(w - 1)*(w + 1)
Let j(m) be the second derivative of 3*m**6/40 + m**5/30 - 5*m**2/2 + 12*m. Let d(w) be the first derivative of j(w). Factor d(h).
h**2*(9*h + 2)
Let j = 1804 + -1802. Factor -4/9*u + 2/9 + 2/9*u**j.
2*(u - 1)**2/9
Let v(a) be the first derivative of 7/10*a**5 + 0*a**2 + a - 4/3*a**3 + 0*a**4 + 1/5*a**6 - 5. Let t(p) be the first derivative of v(p). Factor t(z).
2*z*(z + 1)*(z + 2)*(3*z - 2)
Let p(x) be the third derivative of -x**8/3528 + 11*x**7/2205 - x**6/36 + 5*x**5/126 + 7*x**2 - 19. Factor p(g).
-2*g**2*(g - 5)**2*(g - 1)/21
Suppose 0 = -2*k - h - 1, -5*k + 2*k = 2*h + 4. Suppose -m**k + 3*m**3 + 3*m**3 + 1 + m - 7*m**3 = 0. Calculate m.
-1, 1
Factor -3/4*j**3 - 3/4*j**2 + 3*j + 3.
-3*(j - 2)*(j + 1)*(j + 2)/4
Suppose -t + 4*n = 16, -n + 16 = 5*t + 3*n. Suppose -2*i + 7*i - 75 = t. Factor -5*f**4 + 15*f**3 + 1 + 6*f**3 + i*f - 4 - f**4 - 27*f**2.
-3*(f - 1)**3*(2*f - 1)
Let n = 225 - 218. Let c(o) be the third derivative of 1/3*o**3 + 0 + 1/30*o**6 - 8*o**2 - 1/6*o**4 + 0*o**5 + 0*o - 1/105*o**n. Factor c(g).
-2*(g - 1)**3*(g + 1)
Let b(n) be the first derivative of -n**5/12 - 5*n**4/24 + 7*n**2 + 14. Let k(j) be the second derivative of b(j). Solve k(t) = 0 for t.
-1, 0
Suppose -x = -0*x. Let g(d) = d**3 + 10*d**2 + 24*d + 4. Let i be g(-4). Factor 0 + x*f - 36/7*f**i - 24/7*f**3 - 4/7*f**2.
-4*f**2*(3*f + 1)**2/7
Let a(y) be the first derivative of -7*y**4/4 + 37*y**3/2 - 15*y**2 - 21*y - 9. Let t(l) be the first derivative of a(l). Factor t(k).
-3*(k - 5)*(7*k - 2)
Let m(y) be the first derivative of 2*y**5/55 + 2*y**4/11 + 97. Let m(n) = 0. What is n?
-4, 0
Let i(q) be the first derivative of q**6/600 + q**5/300 - q**4/12 + 4*q**3/15 + 35*q**2/2 + 2. Let n(x) be the second derivative of i(x). Factor n(k).
(k - 2)*(k - 1)*(k + 4)/5
Let p(t) be the third derivative of -1/30*t**6 + 2/105*t**7 + 0*t**4 - 1/252*t**8 + 30*t**2 + 1/45*t**5 + 0*t + 0 + 0*t**3. Factor p(o).
-4*o**2*(o - 1)**3/3
Let u(k) = -2*k**4 - 4*k**3 + 6*k**2 + 4*k + 4. Let t(s) = -s**3 + 1. Let i = 60 + -56. Let w(d) = i*t(d) - u(d). Suppose w(j) = 0. What is j?
-1, 0, 2
Suppose 36 = 4*c - 8. Find g such that 9*g**4 + g + 10*g**3 + c*g**3 - 5*g**2 - 18*g**3 = 0.
-1, 0, 1/3
Let s(h) = h**2 + 9*h + 9. Let y(w) = 2*w**2 + 17*w + 18. Let d(o) = o**2 + 12*o + 30. Let t be d(-9). Let i(b) = t*y(b) - 5*s(b). Factor i(x).
(x + 3)**2
Let g be (-2)/10 - 399/(-30)*18/252. Factor 1/4 + 1/8*v - g*v**2 + 1/8*v**3 + 1/4*v**4.
(v - 1)**2*(v + 2)*(2*v + 1)/8
Let p = 410 - 407. Factor -112/3*v - 12*v**p + 32/3 + 40*v**2.
-4*(v - 2)*(3*v - 2)**2/3
Let n(y) = 9*y**2 - 5*y**3 + 6*y**3 - 13*y - 2 - 2*y**3 - 5. Let c be n(7). Factor -1/3*f**2 + 0*f + c - 1/3*f**3.
-f**2*(f + 1)/3
Let l(i) = -2*i. Let g(u) = 5*u**2 + 8*u. Let a(z) = -g(z) + 3*l(z). Factor a(t).
-t*(5*t + 14)
Factor j**3 + 1/2*j**4 - 15/2*j**2 + 0 - 18*j.
j*(j - 4)*(j + 3)**2/2
Suppose -2*y - 4*n = -14, 5*n = -3*y - 7 + 25. Let p(m) be the first derivative of y + 3/8*m**2 - 1/2*m**3 - 3/16*m**4 + 3/2*m. Find t, given that p(t) = 0.
-2, -1, 1
Let i = -7535 - -7537. Let 32/3*t**5 - 40/3*t**3 + 20/3*t**i - 16/3*t**4 + 8/3*t - 4/3 = 0. What is t?
-1, -1/2, 1/2, 1
Let i(q) = -q**2 + q - 2. Let x(s) = -4*s**2 - 2*s**2 - 3*s + 10*s**2 + 6. Let f(c) = 14*i(c) + 4*x(c). Factor f(l).
2*(l - 1)*(l + 2)
What is s in -26/19*s**2 + 10/19*s**4 + 16/19 + 2/19*s**5 + 2/19*s**3 - 4/19*s = 0?
-4, -2, -1, 1
Let i = 5114/9 - 568. Let o(r) be the second derivative of -1/45*r**6 + 0 + i*r**2 + 5*r - 1/9*r**3 + 7/90*r**5 - 1/18*r**4. Find b, given that o(b) = 0.
-2/3, 1
Let g be 40/15*(-3)/(-2). Let q(p) be the first derivative of -1/8*p**g + 0*p + 0*p**2 - 8 + 0*p**3. Factor q(u).
-u**3/2
Let b be 17/(102/84) + -11. Factor 1/3 - 3*k**b + 5/3*k + k**2.
-(k - 1)*(3*k + 1)**2/3
Let p(a) be the third derivative of a**9/1008 - a**7/140 + a**5/40 + 17*a**3/6 + 17*a**2. Let h(w) be the first derivative of p(w). Suppose h(q) = 0. What is q?
-1, 0, 1
Factor -d**2 - 3*d**2 - 56 - 3*d - 29*d + 2*d**2.
-2*(d + 2)*(d + 14)
Let f be -6 - ((9 - 2) + -169). Suppose 8*p - f = -132. Factor 1/3*g**5 - g**4 + 0 + 1/3*g**p - 2/3*g + g**2.
g*(g - 2)*(g - 1)**2*(g + 1)/3
Let g(z) be the third derivative of z**8/784 + z**7/294 - z**6/84 - z**5/14 - 25*z**4/168 - z**3/6 - 30*z**2 - 2. Determine n, given that g(n) = 0.
-1, 7/3
Let p(w) be the first derivative of -98*w**3/27 + 280*w**2/3 - 800*w + 348. Find q, given that p(q) = 0.
60/7
Factor -3/5*g**4 + 216/5*g + 204/5*g**2 + 0 + 42/5*g**3.
-3*g*(g - 18)*(g + 2)**2/5
Let n(f) = 5*f**2 - 510*f + 12996. Let h(w) = -10*w**2 + 1020*w - 25989. Let c(b) = 3*h(b) + 7*n(b). Factor c(o).
5*(o - 51)**2
Let g(w) be the second derivative of w**4/9 + 76*w**3/9 + 722*w**2/3 - 19*w + 5. Factor g(f).
4*(f + 19)**2/3
Let t(f) be the second derivative of -49/6*f**4 + 17/30*f**6 + 0 + 21/2*f**3 - 1/42*f**7 + 6*f - 31/10*f**5 + 81/2*f**2. Factor t(x).
-(x - 9)**2*(x - 1)*(x + 1)**2
Let w be 5/(-8)*(-520)/65. Find h, given that 0*h**2 + w*h**3 + 0*h - 15/2*h**5 + 0 + 5/2*h**4 = 0.
-2/3, 0, 1
Suppose -50*i - i**2 + 5*i**4 - i**5 - 5 - 37*i + 0 - 7*i**3 + 95*i + 1 = 0. Calculate i.
-1, 1, 2
Let d be -3 - 29/(-9) - 1101/(-27). Let m = d - 41. Determine y so that 4/3*y - 4/3*y**3 + 2/3*y**4 + m*y**2 - 2/3 = 0.
-1, 1
Let a be (64/(-40))/4 + 24/10. Suppose -12*v**a - 6 + 18*v**2 + v - 2*v**3 + v = 0. What is v?
-1, 1, 3
Let b(n) be the third derivative of -n**8/84 - n**7/105 + n**6/12 - n**5/15 - 22*n**2 + 3*n. Solve b(s) = 0 for s.
-2, 0, 1/2, 1
Let l = 57 - 35. Let f(c) = 6*c**2 - 16*c - 4. Let q(y) = 29*y**2 - 81*y - 20. Let x(t) = l*f(t) - 4*q(t). Let x(z) = 0. Calculate z.
-1/4, 2
Let j be (-2 + 38)/(-9) + 6. Let u(d) be the first derivative of 1/24*d**3 - 1/40*d**5 + 1/48*d**6 + 0*d**j + 0*d + 2 - 1/32*d**4. Factor u(p).
p**2*(p - 1)**2*(p + 1)/8
Let q(j) be the third derivative of j**7/13860 + j**6/1320 + 5*j**4/24 - 34*j**2. Let p(v) be the second derivative of q(v). What is c in p(c) = 0?
-3, 0
Let m(h) be the first derivative of -h**3/9 - 10*h**2/3 - 17*h + 848. Factor m(t).
-(t + 3)*(t + 17)/3
Let l(j) be the second derivative of -4*j + 0*j**2 - 5/12*j**4 + 0*j**3 - 1/4*j**5 + 0. Factor l(n).
-5*n**2*(n + 1)
Let r be 2/(6 - 4) - -4. Suppose 2*t - 4*h - 54 = -0*h, -3*t + r*h + 78 = 0. What is a in 15*a**3 - 26*a**2 + t*a**3 - 16*a**4 + 2*a**2 + 4*a = 0?
0, 1/4, 1
Suppose -5*s + 41 = 2*q, 5*s - 38 - 15 = 4*q. Factor s*g - 29 - g**3 - 9*g**2 - 31 + 58 + 3*g**4.
(g - 1)**2*(g + 2)*(3*g - 1)
Let i(j) be the first derivative of 5*j**4/4 - 25*j**3 + 120*j**2 + 320*j + 162. Find q, given that i(q) = 0.
-1, 8
Let y = -18/35 + 58/35. Let 22*h**4 + 64/7*h + 34/7*h**3 - 14*h**5 - 146/7*h**2 - y = 0. Calculate h.
-1, 2/7, 1
Let s(k) be the third derivative of -k**8/28 + 2*k**7/105 + k**6/2 - k**5/3 - 2*k**4 + 8*k**3/3 - 2*k**2 - 20*k. Find c such that s(c) = 0.
-2, -1, 1/3, 1, 2
Factor 20*h**4 + 1209*h**2 - 4*h**4 - 632*h + 0*h**4 + 136*h - 1028*h**3 + 1031*h**2.
4*h*(h - 62)*(h - 2)*(4*h - 1)
Let p be (-1 - -1)/(-5 - -3). Suppose -2*c - 5*h + p = 4, 5*c + 2*h - 11 = 0. Determine j, given that -2 - 16*j - 147*j**c + 4*j + 84*j**2 + 2 = 0.
0, 2/7
Let d(s) be the third derivative of s**5/15 + 25*s**4/6 + 92*s**3/3 + 59*s**2 - 2*s. Factor d(w).
4*(w + 2)*(w + 23)
Factor 4 + 2*d**4 + 4*d**3 - 9 - 6*d**2 + 5.
2*d**2*(d - 1)*(d + 3)
Let c(h) be the first derivative of 2/55*h**5 - 4 - 1/11*h**2 + 2/11*h**3 - 3/22*h**4 + 0*h. Factor c(b).
2*b*(b - 1)**3/11
Let p(g) = 5*g**3 - 38*g**2 - 144*g - 8. Let l(c) = -42*c**3 + 303*c**2 + 1152*c + 66. Let a(x) = 4*l(x) + 33*p(x). Find t such that a(t) = 0.
-8, -6, 0
Let m be 3 + (0 - 104/(-12)) + 0. Let l = -11 + m. Solve 1/3*h**3 - l*h**4 - 1/3*h + 0 + 2/3*h**2 = 0.
-1, 0, 1/2, 1
Let i = 83 + -79. What is y in -y**4 - i*y**3 - 5 + 11 - 6 + 6*y - y**2 = 0?
-3, -2, 0, 1
Suppose 27 = -5*u - m - 25, -3*m = 3*u + 24. Let w = 14 + u. Factor -226*q**2 - 6 - w*q**3 + 9*q + 226*q**2.
-3*(q - 1)**2*(q + 2)
Let f(y) be the second derivative of 16*y + 0 - 7/18*y**3 - 1/3*y**2 + 5/12*y**4. Factor f(p).
(3*p - 2)*(5*p + 1)/3
Suppose 0 = -55*o + 8*o. Let a(r) be the second derivative of 0*r*