u + 21/5*c**2 + 6/5*c - 3*c**5 + 9/5*c**3 - 21/5*c**4 = 0. What is c?
-1, -2/5, 0, 1
Find q such that 0*q**3 - 1/7*q**5 + 1/7*q + 2/7*q**2 + 0 - 2/7*q**4 = 0.
-1, 0, 1
Let n(h) be the second derivative of -h**6/180 - h**5/12 - h**4/3 + 11*h**3/6 + h. Let s(f) be the second derivative of n(f). Factor s(c).
-2*(c + 1)*(c + 4)
Find x, given that -2/3*x + 2/3 - 85/6*x**2 - 77/6*x**3 = 0.
-1, -2/7, 2/11
Let v(a) be the third derivative of -1/45*a**5 + 8*a**2 - 1/180*a**6 + 1/36*a**4 + 0*a + 2/9*a**3 + 0. Factor v(g).
-2*(g - 1)*(g + 1)*(g + 2)/3
Let a(j) be the second derivative of 1/105*j**7 + 0*j**3 - 1/30*j**4 + 0 - 1/50*j**5 + 3*j + 0*j**2 + 1/75*j**6. Factor a(t).
2*t**2*(t - 1)*(t + 1)**2/5
Let f(b) = b**3 + 144*b**2 - 291*b + 158. Let n(x) = 15*x**3 + 2015*x**2 - 4075*x + 2215. Let p(d) = -85*f(d) + 6*n(d). Factor p(l).
5*(l - 28)*(l - 1)**2
Let g = 12845/2 - 64213/10. Factor 0 + g*p**2 - 4/5*p.
2*p*(3*p - 2)/5
Let u(b) be the first derivative of -10*b**3/33 - 13*b**2 + 116*b/11 + 225. Factor u(d).
-2*(d + 29)*(5*d - 2)/11
Let d(r) be the second derivative of r**6/225 - 11*r**5/300 - r**4/20 + 2*r**3/3 - 2*r. Let y(i) be the second derivative of d(i). Factor y(v).
2*(v - 3)*(4*v + 1)/5
Let j(c) be the second derivative of 8*c + 0*c**3 + 1/108*c**4 + 0 - 1/180*c**6 - 1/135*c**5 + 5*c**2. Let n(q) be the first derivative of j(q). Factor n(x).
-2*x*(x + 1)*(3*x - 1)/9
Suppose 4*m = 6 + 2. Suppose 2 = y, -m*y = 5*c - 0*y - 14. Solve 3*r - 2*r**3 - r**3 + 2*r**c + 6 - 8*r**2 - 3*r**2 + 3*r**4 = 0 for r.
-1, 1, 2
Let d(o) be the first derivative of -13/10*o**4 + 12/25*o**5 + 8/5*o**3 - 4/5*o**2 + 1 - 1/15*o**6 + 0*o. Solve d(h) = 0 for h.
0, 1, 2
Suppose i = 3*z + 3 - 5, -4*z + 2*i = 0. Suppose -z*r = f + r, 0 = f + 2*r. Factor -2/9*d - 2/9*d**2 + f.
-2*d*(d + 1)/9
Let n = -263/3 + 88. Let q(c) be the first derivative of -c + 6 + n*c**3 + 1/6*c**4 - 1/3*c**2. Determine l so that q(l) = 0.
-3/2, -1, 1
Suppose 0 = -15*y - 26*y - 6 + 6. Factor 2/19*j**2 - 2/19*j**3 + 0*j + 2/19*j**5 - 2/19*j**4 + y.
2*j**2*(j - 1)**2*(j + 1)/19
Let y(w) be the third derivative of 3*w**5/4 + 29*w**4/8 - w**3 + 667*w**2. Factor y(c).
3*(c + 2)*(15*c - 1)
Let l(r) be the third derivative of r**8/5040 - r**7/2520 - 2*r**3/3 + 11*r**2. Let c(k) be the first derivative of l(k). Factor c(y).
y**3*(y - 1)/3
Let u(t) be the third derivative of -t**7/420 + t**5/12 - 3*t**3/4 - 239*t**2. Find b, given that u(b) = 0.
-3, -1, 1, 3
Let f(v) be the third derivative of -v**7/945 - v**6/54 - 14*v**5/135 - 2*v**4/9 + 47*v**2 - v. What is r in f(r) = 0?
-6, -2, 0
Determine a, given that -2/13*a**5 + 0 + 2/13*a**3 - 2/13*a**2 + 0*a + 2/13*a**4 = 0.
-1, 0, 1
Let r = -2 + 8. Let n(s) = 4*s**5 - 2*s**4 + 4*s**3 + 6*s - 6. Let z(m) = -3*m**5 + m**4 - 3*m**3 - 5*m + 5. Let t(o) = r*z(o) + 5*n(o). Factor t(l).
2*l**3*(l - 1)**2
Let w(x) be the first derivative of -x**5/4 + 55*x**4/16 - 40*x**3/3 + 35*x**2/2 + 124. Factor w(j).
-5*j*(j - 7)*(j - 2)**2/4
Let u(a) be the second derivative of 0*a**3 - a**2 - 1/630*a**7 + 0*a**4 + 1/180*a**5 + 0 + 0*a**6 - 7*a. Let h(g) be the first derivative of u(g). Factor h(i).
-i**2*(i - 1)*(i + 1)/3
Solve -6272/3*s + 112/3*s**2 - 2/9*s**3 + 351232/9 = 0.
56
Let o be (-66)/(-9) + (-18)/(-27). Let v(w) be the first derivative of o*w + 3 + 4*w**2 + 2/3*w**3. Factor v(a).
2*(a + 2)**2
Suppose w - 2*w = 3*w. Factor -7*d**2 + w*d - 16*d + 11*d**2 + 16.
4*(d - 2)**2
Let g(a) = -2*a**2 - 35*a - 3. Let q(v) = 8*v**2 + 135*v + 11. Let m(i) = -11*g(i) - 3*q(i). Find x, given that m(x) = 0.
-10, 0
Let q(s) = -7*s**2 - 10*s + 9. Let w(k) = -2*k**2. Let o(c) = q(c) - 4*w(c). Let o(d) = 0. What is d?
1, 9
Let b(x) = 17*x**2 + 274*x + 2646. Let s(j) = 9*j**2 + 138*j + 1323. Let t(o) = 6*b(o) - 11*s(o). Factor t(k).
3*(k + 21)**2
Let x = 45 + -43. Determine w, given that 4*w - 4*w**2 - x*w**2 + 6*w**2 - 6 + 2*w**2 = 0.
-3, 1
Let z be -3 + 2 + 1 + 3. Suppose -j**2 + 2*j**2 + 2*j**z + 2*j**2 - j**2 = 0. Calculate j.
-1, 0
Let d = -335 - -20101/60. Let o(f) be the second derivative of 1/3*f**2 - d*f**5 - 1/18*f**4 + 0 - f + 1/18*f**3. Determine z so that o(z) = 0.
-2, -1, 1
Let j(v) be the second derivative of v**5/40 + 71*v**4/24 - 6*v**3 + 369*v. Factor j(f).
f*(f - 1)*(f + 72)/2
Let x(z) be the first derivative of -z**4/4 + 4*z**3/3 - 51. Factor x(p).
-p**2*(p - 4)
Suppose 3 + 9 = -3*a, -a = -b + 8. Let z(y) = 5*y**3 - 21*y**2 + 4*y + 12. Let g(i) = -9*i**3 + 42*i**2 - 9*i - 24. Let c(h) = b*g(h) + 9*z(h). Factor c(x).
3*(x - 2)*(x - 1)*(3*x + 2)
Suppose -9*g + 4*g + 55 = 0. Determine h so that -h + 8*h**2 + h + 4*h**4 + g*h**3 + 2*h - h**3 = 0.
-1, -1/2, 0
Let w = 78 - 77. Let m be (-2 - w)*1 + 30/8. Determine n so that 0*n + 3/2*n**2 + 0*n**3 - m*n**4 - 3/4 = 0.
-1, 1
Let r = 17 + -12. Suppose -r*o + o = 3*x - 53, -2*o = 5*x - 65. Factor -21*h**2 + 7 - x + 6*h + 4.
-3*h*(7*h - 2)
Let y be (0 + -4)/(-209 - -204). Factor -2/5 - 2/5*p**2 - y*p.
-2*(p + 1)**2/5
Let g(n) be the third derivative of n**8/504 + n**7/315 - n**6/180 - n**5/90 + 47*n**2 - n. What is f in g(f) = 0?
-1, 0, 1
Let n(k) be the second derivative of 1/90*k**6 + 0*k**4 + 9*k + 0 - 1/15*k**5 + 1/6*k**3 + 0*k**2. Let g(w) be the second derivative of n(w). Factor g(a).
4*a*(a - 2)
Suppose -5*z - 40*t = -39*t + 2, 2 = -t. Let b(w) be the third derivative of -1/12*w**4 + 0*w + 5*w**2 + 0*w**3 + z - 1/15*w**5. Solve b(v) = 0.
-1/2, 0
Let s(a) be the third derivative of a**7/210 + 3*a**6/100 - 2*a**5/75 + 3*a**2 + 35*a. Determine y, given that s(y) = 0.
-4, 0, 2/5
Let a(y) be the first derivative of -y**7/3780 + y**6/405 - y**5/135 + 5*y**3/3 - 9. Let j(m) be the third derivative of a(m). Factor j(x).
-2*x*(x - 2)**2/9
Let h(r) = r**3 - 9*r**2 + 2. Let a be h(9). Factor -6*n**2 - n**2 + 2*n - 2*n**2 + 7*n**a.
-2*n*(n - 1)
Factor 1/2*g**4 - 13/4*g**3 + 13/2*g**2 + 0 - 15/4*g.
g*(g - 3)*(g - 1)*(2*g - 5)/4
Let p = -46 - -50. Let t be 2/70*17 + p/(-20). Determine q, given that -6/7 + t*q**2 - 4/7*q = 0.
-1, 3
Let g be 1/(-1) - (2 + -3). Let l(u) = u**3 + u**2 + 4*u. Let q be l(0). Let 0*c**4 - 1/4*c**3 + g + q*c + 0*c**2 + 1/4*c**5 = 0. What is c?
-1, 0, 1
Let 64 + 2*b**2 + 3*b**2 + 25*b + 2*b**2 - 76 = 0. Calculate b.
-4, 3/7
Determine p so that -50/11 - 32/11*p**2 - 80/11*p = 0.
-5/4
Let x(s) be the third derivative of -s**7/840 + s**6/480 + s**5/16 + 23*s**4/96 + 5*s**3/12 - 78*s**2. Factor x(v).
-(v - 5)*(v + 1)**2*(v + 2)/4
Let p be 36/16 - 1/4. Factor -2*z**2 - 2*z**p - 3*z**3 - 2*z**2 - 6*z**3 + 15*z**4.
3*z**2*(z - 1)*(5*z + 2)
Let o(j) be the third derivative of j**7/210 + j**6/10 - j**5/60 - j**4/2 - 6*j**2 + 29*j. Solve o(d) = 0 for d.
-12, -1, 0, 1
Let o(p) = 28*p**4 + 20*p**3 - p**2 - 7*p. Let d(r) = r. Let q(g) = 5*d(g) + o(g). Suppose q(t) = 0. Calculate t.
-1/2, 0, 2/7
Let h = -42191 + 42193. Factor 1/3*p**3 - 1/3*p + 8/3*p**h - 8/3.
(p - 1)*(p + 1)*(p + 8)/3
Let q(h) be the third derivative of 1/90*h**5 + 1/180*h**6 - 1/9*h**3 + 42*h**2 - 1/36*h**4 + 0 + 0*h. Let q(r) = 0. What is r?
-1, 1
Let d be (4/16)/((-2)/(-40)). Factor 23*y**2 - y**3 - 2*y**d + 2*y**4 - 22*y**2 - 3*y**4 + 3*y**5.
y**2*(y - 1)**2*(y + 1)
Let d(z) be the second derivative of -1/80*z**5 - 1/168*z**7 + 0*z**2 + 1/60*z**6 + 0 - 17*z + 0*z**3 + 0*z**4. Solve d(s) = 0.
0, 1
Suppose j - 2 - 2 = 0. Let b = j - -1. Solve -b*m**2 + 2*m**3 + 9*m - 7*m + m**2 = 0 for m.
0, 1
Suppose 3*b + 17 = 125. Factor 21*t**2 - b*t - 5 - 10 + 3.
3*(t - 2)*(7*t + 2)
Let x(d) = -d**2 + d - 2. Let q be x(5). Let u = q - -24. Factor -49*h**2 + 2*h + h + 46*h**u.
-3*h*(h - 1)
Let s(m) be the second derivative of -m**5/5 - m**4/2 + 4*m**3 - 7*m**2 - 151*m. Factor s(k).
-2*(k - 1)**2*(2*k + 7)
Let j be (0/(-1 - -3))/(-1). Let d(a) = -1155*a - 6930. Let h be d(-6). Factor 2/7*c**2 + h + 2/7*c**3 + j*c.
2*c**2*(c + 1)/7
Let o = 369/14 - 181/7. Let c(t) be the first derivative of -o*t**4 - 4*t**2 - 8/3*t**3 + 0*t + 3. Suppose c(d) = 0. What is d?
-2, 0
Let i be (-84)/(-189)*((-2)/(-5) - (-44)/40). What is v in i*v - 1/6*v**3 + 2/3 - 1/6*v**2 = 0?
-2, -1, 2
Let z be (-1)/2*24 - (-152)/12. Let -14/3*u**2 + 16/3*u + 32/3 + z*u**3 = 0. Calculate u.
-1, 4
Find i such that 75*i**3 - 11*i**2 + 32 + 74*i - 74*i**3 - 54*i = 0.
-1, 4, 8
Let n(z) = -8*z**2 + 16*z. Let 