ctor -4*g**2 + 4 + g + 2*g + c*g**2 - 2.
(g + 1)*(g + 2)
Let h be ((-3)/2)/((15/(-10))/3). What is n in 3*n**4 - 9*n**h + 10*n - 5*n**2 - n**3 + 2*n**4 = 0?
-1, 0, 1, 2
Let q(k) be the second derivative of -k**4/90 + 2*k**3/15 - k**2/3 + 3*k + 7. Solve q(p) = 0.
1, 5
Let g(p) be the third derivative of p**7/945 + p**6/540 - p**5/45 - p**4/27 + 8*p**3/27 - 2*p**2 - 25. Factor g(f).
2*(f - 2)*(f - 1)*(f + 2)**2/9
Let m(q) = 8*q - q - 3*q - 18. Let y be m(6). Factor -5*d**2 - 3 - 7*d**3 + 4*d**2 + 5*d + y*d**3.
-(d - 1)**2*(d + 3)
Let s be (-2 - 32/(-30))/((-3)/(-234)). Let q = -72 - s. Factor 0 - 14/15*i**2 - 4/15*i - q*i**3.
-2*i*(2*i + 1)*(3*i + 2)/15
Let n(w) = w**3 + 62*w**2 - 75*w - 756. Let s be n(-63). What is q in 0*q**2 + s*q + 0 - 8/11*q**4 - 2/11*q**3 = 0?
-1/4, 0
Let n(z) be the third derivative of -1/4*z**3 - 1/120*z**5 + 0 + 12*z**2 - 1/12*z**4 + 0*z. Solve n(h) = 0 for h.
-3, -1
Let o(f) be the second derivative of 0 + 1/20*f**4 + 2/5*f**3 - 8*f + 6/5*f**2. Find s, given that o(s) = 0.
-2
Let z(g) be the first derivative of g**5/50 + g**4/6 + 8*g**3/15 + 4*g**2/5 - 49*g + 6. Let o(x) be the first derivative of z(x). Find f such that o(f) = 0.
-2, -1
Let d(c) be the second derivative of -c**5/100 - c**4/30 - c**3/30 - c - 77. Factor d(y).
-y*(y + 1)**2/5
Let s(h) be the first derivative of -5*h**4 - 5*h**3 - 3 + 72*h**2 + h**3 + 8 - 48*h. Let t(o) = o. Let r(i) = -s(i) + 16*t(i). Factor r(l).
4*(l - 2)*(l + 3)*(5*l - 2)
Let x(a) be the first derivative of -4*a**3/3 - 68*a**2 - 1156*a - 154. Factor x(w).
-4*(w + 17)**2
Let f(p) be the first derivative of -p**4/18 + 2*p**3/27 + 17*p**2/9 + 10*p/3 - 158. Factor f(u).
-2*(u - 5)*(u + 1)*(u + 3)/9
Suppose 2*a - 46 = 2. Solve -9*n - 3*n + 0*n + 3*n**3 - 5*n**2 - n**2 + a = 0.
-2, 2
Let o(n) = n**2 - 3*n - 2. Let a be o(4). Suppose 0 = a*f - 13 + 5. Find k, given that -5/4*k**3 + 0 - k**f + 0*k - 1/4*k**2 = 0.
-1, -1/4, 0
Factor -2*j**3 - 15*j + 8746 + 9*j**2 + 5*j - 8743.
-(j - 3)*(j - 1)*(2*j - 1)
Let x(w) be the second derivative of 5*w - 1/21*w**3 - 1/21*w**4 + 1/70*w**5 + 2/7*w**2 - 6. Factor x(m).
2*(m - 2)*(m - 1)*(m + 1)/7
Let y = 82 - 78. Suppose -u - u = -y*k + 14, 0 = -4*k - 5*u - 7. Factor -4/3*h**3 + 2/3*h**5 - 4/3*h**k + 2/3*h + 2/3*h**4 + 2/3.
2*(h - 1)**2*(h + 1)**3/3
Let c(a) be the first derivative of 3 - 2/3*a**3 + 0*a**2 + 0*a + 1/4*a**4. Factor c(f).
f**2*(f - 2)
Suppose -1/2*f**4 - 1/4*f**5 - 1/4*f - 1/2 + 1/2*f**3 + f**2 = 0. What is f?
-2, -1, 1
Let p be 30/(-50) - 13*(-1)/5. Let s be (16/p - 0)*(-36)/(-180). Factor -2/5*z**3 - s*z**2 - 4/5 - 2*z.
-2*(z + 1)**2*(z + 2)/5
Let h be 4*(-3)/(-20) - 41/(-15). Find j, given that 4/3*j**3 + 0 - 2*j + h*j**2 = 0.
-3, 0, 1/2
Let a = -19 - -17. Let d(m) = 3*m**2 - 8*m - 2. Let s(x) = 14*x**2 - 39*x - 11. Let z(j) = a*s(j) + 11*d(j). Factor z(t).
5*t*(t - 2)
Let l(f) be the second derivative of -f**6/15 - 3*f**5/5 - 11*f**4/6 - 2*f**3 - 2*f + 118. Factor l(u).
-2*u*(u + 1)*(u + 2)*(u + 3)
Let g(u) = -2*u**2 - 4*u + 6. Let t be g(3). Let l = t - -28. Factor -2 + 4*p + 3*p - l*p**2 - 2*p + p**3 + 0.
(p - 2)*(p - 1)**2
Let k(z) be the second derivative of 0 - 2/15*z**3 - 9*z + 0*z**2 - 1/30*z**4. Factor k(t).
-2*t*(t + 2)/5
Let l be ((-214)/(-4))/(63/14 + -4). Suppose 111*o**3 + 0*o**4 - o**4 - l*o**3 = 0. What is o?
0, 4
Let c(x) be the third derivative of 1/15*x**4 + 0 + 0*x**3 + 1/75*x**5 + 3*x**2 + 0*x - 1/150*x**6. Factor c(q).
-4*q*(q - 2)*(q + 1)/5
Suppose 6*i - 5*i = h, -12 = -h - 5*i. What is y in 0*y + 0 + 4/3*y**3 - y**h - 1/3*y**4 = 0?
0, 1, 3
Let t(k) be the third derivative of 0*k**5 + 0*k**3 - 1/1176*k**8 - 1/420*k**6 + 0*k**4 + 0 + 2/735*k**7 + 0*k - 9*k**2. Let t(v) = 0. Calculate v.
0, 1
Let o(f) be the third derivative of -f**7/315 - f**6/12 - 67*f**5/90 - 31*f**4/12 - 40*f**3/9 + 189*f**2. Determine h, given that o(h) = 0.
-8, -5, -1
Suppose 14/3*k**5 - 34*k**4 + 36*k + 238/3*k**3 - 242/3*k**2 - 16/3 = 0. What is k?
2/7, 1, 4
Let b(h) = 8*h**4 - 20*h**3 - 93*h**2 - 94*h - 32. Let o(x) = 9*x**4 - 20*x**3 - 94*x**2 - 92*x - 31. Let f(r) = 4*b(r) - 3*o(r). Solve f(d) = 0.
-1, 7
Let h(b) be the third derivative of b**6/96 + 11*b**5/24 - 235*b**4/96 + 5*b**3 - 94*b**2. Let h(t) = 0. What is t?
-24, 1
Let c(t) be the first derivative of 1/28*t**4 + 1/21*t**3 - 2/7*t**2 - 4/7*t + 6. Let c(d) = 0. What is d?
-2, -1, 2
Solve -69/7*r - 3*r**2 - 48/7 = 0.
-16/7, -1
Suppose 24/7 - 10/7*m**2 + 16/7*m - 2/7*m**3 = 0. What is m?
-6, -1, 2
Let o(g) be the third derivative of -23*g**2 + 0 - 1/20*g**6 + 0*g - 1/15*g**5 + 0*g**3 + 0*g**4. Factor o(c).
-2*c**2*(3*c + 2)
Let r(h) = -2*h + 5. Let m be r(-4). Let t = m - 11. What is i in 4*i**5 - t*i**2 - 52*i + 2*i**4 + 2*i**5 + 56*i - 10*i**3 = 0?
-1, 0, 2/3, 1
Let v = 395/606 + 3/202. Let x(m) be the first derivative of -1/3*m**6 + 1/2*m**4 - v*m**3 + 0*m - 1 + 2/5*m**5 + 0*m**2. Solve x(a) = 0 for a.
-1, 0, 1
Let j(s) be the third derivative of s**6/480 + 11*s**5/120 + 5*s**4/3 + 16*s**3 + 14*s**2 + 7. Solve j(u) = 0.
-8, -6
Let k(n) = -n**3 + 49*n**2 - 214*n + 297. Let b(x) = -48*x**2 + 212*x - 296. Let q(f) = -3*b(f) - 4*k(f). Factor q(c).
4*(c - 5)**2*(c - 3)
Determine x, given that -15/4*x**3 + 21/4*x**2 + 0 - 3/2*x = 0.
0, 2/5, 1
Suppose -66*m + 0 - 6/11*m**3 - 12*m**2 = 0. Calculate m.
-11, 0
Let f = -115 + 117. Let y(a) be the second derivative of -1/12*a**4 + 0*a**f - 1/6*a**3 - 2*a + 0. Determine w so that y(w) = 0.
-1, 0
Let g(x) be the second derivative of -x**5 + 8*x**4/3 - 2*x**3 + 56*x. Determine b, given that g(b) = 0.
0, 3/5, 1
Let p(g) = -g**3 - 5*g**2 - 7. Let t be p(-5). Let x be t/2*108/(-63). Factor 2*o**3 - 6*o**3 + 3*o + 5*o**2 + o**3 + x - 11*o**2.
-3*(o - 1)*(o + 1)*(o + 2)
Let z(n) = n - 3. Let d be z(7). Suppose -d*f + 2 = -2*m, -29 = 2*f - 5*f - 4*m. Suppose u**4 - 53*u**3 + 53*u**f = 0. Calculate u.
0
Let v(w) be the second derivative of -w**9/7560 + w**8/1680 - w**7/1260 + 13*w**4/12 + 4*w. Let m(u) be the third derivative of v(u). Factor m(n).
-2*n**2*(n - 1)**2
Let i(u) be the second derivative of 0*u**4 + 3*u**2 + 3/20*u**5 + 0 - 19*u - 3/2*u**3. Find c such that i(c) = 0.
-2, 1
Let g be (-2)/(-7) - 560/(-98). Let j = -1 + 4. Determine v, given that j*v**3 - 5*v**5 + 8*v**5 - g*v**5 = 0.
-1, 0, 1
Let h(r) = -2*r**2 - 18*r - 4. Suppose 5*c = 3*n - 16, -2*c - 2*c = -2*n + 8. Let g(d) = d. Let t(v) = n*g(v) + h(v). Determine i so that t(i) = 0.
-2, -1
Factor 2*t**2 + 7*t**2 - 6*t**2 - 6*t + 0*t.
3*t*(t - 2)
Let c(o) be the second derivative of o**6/6 - 2*o**5 - 25*o**4/6 + 20*o**3/3 + 45*o**2/2 + 157*o + 1. Factor c(u).
5*(u - 9)*(u - 1)*(u + 1)**2
Let h(m) be the third derivative of 0*m**3 + 0*m**4 + 0 + 55*m**2 + 1/80*m**6 + 0*m**7 - 1/224*m**8 + 0*m + 0*m**5. Factor h(f).
-3*f**3*(f - 1)*(f + 1)/2
Let n(l) be the first derivative of -l**2/2 + 4*l - 72. Let k be n(1). Determine d so that 4/19*d - 10/19*d**4 + 0 - 2/19*d**2 - 16/19*d**k = 0.
-1, 0, 2/5
Let d(g) be the second derivative of -g**7/14 - g**6/5 + 9*g**5/20 + g**4 - 2*g**3 - 7*g - 10. Suppose d(r) = 0. What is r?
-2, 0, 1
Let s be ((-87)/(-9))/(9 - 8) - 9. Find a such that 2/3 - 2/3*a + 2/3*a**3 - s*a**2 = 0.
-1, 1
Let k(a) be the first derivative of -4*a**5/35 - a**4 + 68*a**3/21 - 18*a**2/7 + 76. Factor k(o).
-4*o*(o - 1)**2*(o + 9)/7
Let x(j) be the first derivative of 0*j - 3*j**4 - 7/5*j**5 - j**3 + j**2 + 22. What is v in x(v) = 0?
-1, 0, 2/7
Let l be (-1)/4 - 882/(-24). Let v = l - 36. Factor v + 0*r**2 - 3/4*r + 1/4*r**3.
(r - 1)**2*(r + 2)/4
Let p = 160/231 + -2/77. Suppose -1 = 50*u + 2 - 3. Suppose u*k + 0 - 1/3*k**4 - k**3 - p*k**2 = 0. Calculate k.
-2, -1, 0
Find z such that 815*z**2 - 2694*z**2 + 1089*z**3 - 99*z**4 - 1450*z**2 + 3*z**5 - 664*z**2 = 0.
0, 11
What is i in 40/3*i - 1/2*i**3 + 0 - 59/3*i**2 = 0?
-40, 0, 2/3
Let j(v) = v**2 + 20*v + 2. Let n be j(-20). Let i be (-2 + 2)/n - 1/(-4). Factor 13/4*a**2 + 1 - 3*a - 3/2*a**3 + i*a**4.
(a - 2)**2*(a - 1)**2/4
Determine h, given that -35*h**4 + 39*h**2 + 82*h + 21*h**4 - 108*h**2 + 20*h**3 - 32 + 13*h**4 = 0.
1, 2, 16
Let w(v) = -v**3 + 2*v**2 + 2*v - 4. Let j be w(2). Let i(o) be the first derivative of 1/16*o**4 + 2 + j*o - 1/6*o**3 + 1/8*o**2. Factor i(d).
d*(d - 1)**2/4
Factor -6 + 165*u - 62*u**2 + 3*u**3 - 