 -6*c**3 + 10*c**5 - 4*c**3 - 4*c**2 + c**4 + x*c**4 = 0. What is c?
-1, -2/5, 0, 1
Let x(f) = -f**3 - f**2 - 9*f + 1. Let d(h) = -h**3 - h**2 - h + 1. Let s(n) = -5*d(n) + x(n). Factor s(w).
4*(w - 1)*(w + 1)**2
Let s(g) be the first derivative of -2*g + 8 - 1/6*g**3 - g**2. Factor s(v).
-(v + 2)**2/2
Solve -1/6*x**2 + 2/3*x + 0 = 0.
0, 4
Let b = -4/141 - -149/282. Factor 0 + w + b*w**4 + 5/2*w**2 + 2*w**3.
w*(w + 1)**2*(w + 2)/2
Let n(u) be the first derivative of -2*u**5/45 + u**4/18 + 2*u**3/27 - u**2/9 + 7. Factor n(y).
-2*y*(y - 1)**2*(y + 1)/9
Let m(g) be the third derivative of g**8/1008 - g**7/630 - g**6/120 + g**5/36 - g**4/36 + 45*g**2. Determine x, given that m(x) = 0.
-2, 0, 1
Let t(o) = 36*o**3 - 275*o**2 + 589*o + 911. Let n(y) = 7*y**3 - 55*y**2 + 118*y + 182. Let v(j) = -11*n(j) + 2*t(j). Factor v(i).
-5*(i - 6)**2*(i + 1)
What is r in 1/2*r + 1/4*r**2 + 1/4 = 0?
-1
Suppose 6*m = 5 + 13. Let 1/3 - 1/3*f**2 - 4/3*f + 4/3*f**m = 0. Calculate f.
-1, 1/4, 1
Let d(h) be the third derivative of h**6/420 + h**5/70 - 4*h**3/21 + 3*h**2. Determine s so that d(s) = 0.
-2, 1
Let j(m) = -m**3 - m**2 - m - 155. Let d be j(0). Let r = 470/3 + d. Solve -1/3*g**3 + 0*g - r*g**5 + 2/3*g**2 + 0 - 8/3*g**4 = 0 for g.
-1, 0, 2/5
Let j = 35 - 55. Let k be (5/j)/(3/(-8)). Find n such that -k - 1/3*n**3 + 1/3*n**4 + 5/3*n - n**2 = 0.
-2, 1
What is c in -13 + 5*c**5 + 1 - 5*c**3 - 15*c**4 + 158*c**2 - 8 - 123*c**2 = 0?
-1, 1, 2
Suppose 4*u + 6 = 7*u. Suppose 0 = h + u*p - 0 + 6, -h = -2*p - 6. Suppose h*v - 1/2*v**2 + 1/2 = 0. What is v?
-1, 1
Let o = 14169/17 + -833. What is m in -8/17 - 2/17*m**2 - o*m = 0?
-2
Let m(a) = 10*a**3 + 41*a**2 - 40*a. Let i(k) = 2*k**3 + 8*k**2 - 8*k. Let b(g) = -11*i(g) + 2*m(g). Factor b(f).
-2*f*(f - 1)*(f + 4)
Let z(r) be the third derivative of -r**5/180 + r**4/18 - 2*r**3/9 - 30*r**2. Find x such that z(x) = 0.
2
Suppose 4*h - 7 - 17 = 0. Let i(v) be the second derivative of 0 - 1/2*v**2 - 1/30*v**h - 1/10*v**5 + 1/6*v**4 - v + 1/6*v**3 + 1/42*v**7. Factor i(p).
(p - 1)**3*(p + 1)**2
Let c(r) be the first derivative of 49*r**6/3 - 42*r**5/5 - 12*r**4 - 8*r**3/3 + 17. Factor c(g).
2*g**2*(g - 1)*(7*g + 2)**2
Let r(s) = s**3 - 13*s**2 - 35*s. Let u(j) = -5*j**3 + 79*j**2 + 209*j. Let x(g) = 34*r(g) + 6*u(g). Factor x(b).
4*b*(b + 4)**2
Let w(q) be the first derivative of -q**7/420 - q**6/90 + q**5/60 + q**4/6 - 2*q**3/3 + 3. Let l(h) be the third derivative of w(h). Factor l(o).
-2*(o - 1)*(o + 1)*(o + 2)
Let f(a) be the second derivative of -a**7/2100 - a**6/900 + a**3/2 + 3*a. Let j(w) be the second derivative of f(w). Find i, given that j(i) = 0.
-1, 0
Let i(o) be the second derivative of o**4/28 - o**3 + 21*o**2/2 - 20*o. Factor i(b).
3*(b - 7)**2/7
Suppose -11 + 2 = -g. Let k be -6*(1 + (-15)/9). Solve 2 + g*s**2 + s**k - 7*s**3 + 2*s**3 - 2*s - 5*s = 0 for s.
1, 2
Let g be -2*(22/(-4) - -3). Suppose d = -g*n + 6, 0*d - 2*d = 4*n. Solve -3/4*b - b**n + 1/4 = 0.
-1, 1/4
Let j(f) be the first derivative of 2*f**3/13 + 5*f**2/13 + 4*f/13 + 10. Factor j(m).
2*(m + 1)*(3*m + 2)/13
Let d(h) be the second derivative of -5*h**7/42 + 2*h**6/3 - 5*h**5/4 + 5*h**4/6 - 17*h. Determine v, given that d(v) = 0.
0, 1, 2
Let t(m) be the first derivative of m**3/5 + m**2/10 - 2*m/5 - 3. Find d, given that t(d) = 0.
-1, 2/3
Let b(j) be the first derivative of j**4/16 + j**3/4 + 3*j**2/8 + j/4 - 11. Let b(a) = 0. Calculate a.
-1
Let r(l) be the third derivative of l**6/900 - l**5/50 + 3*l**4/20 - 3*l**3/5 - 2*l**2 + 29*l. Factor r(h).
2*(h - 3)**3/15
Factor -247*x - 2*x**3 - x**4 + 251*x - 4 + 2*x**2 + x**2.
-(x - 1)**2*(x + 2)**2
Let o be (-2)/8 + 61/20. Suppose -3*v + 6*w = 4*w - 14, 8 = -2*w. Factor 0*l + o*l**4 + v*l**3 + 0 - 4/5*l**2.
2*l**2*(l + 1)*(7*l - 2)/5
Factor 40/7*k + 24/7*k**3 + 12/7 + 4/7*k**4 + 48/7*k**2.
4*(k + 1)**3*(k + 3)/7
Let b(o) = -o**3 - o**2 + o. Let t be b(-2). Factor 6*d - t + 2 + 2*d**2 - 4*d.
2*d*(d + 1)
Let p(q) = q**3 - 3*q**2 - 2*q + 3. Let x be p(2). Let c = x - -8. Factor k**2 + 2*k**c + 2*k**5 - 3*k**2 + 2*k**4 - 4*k**5.
-2*k**2*(k - 1)**2*(k + 1)
Factor 1/7*c**3 + 4/7*c + 0 + 4/7*c**2.
c*(c + 2)**2/7
Let x = 4412/5 + -878. Let u = 174/35 - x. Factor u - 2/7*p**2 - 2/7*p.
-2*(p - 1)*(p + 2)/7
Let -426*m - 3 - 4*m**2 - 3*m**3 + 429*m + 7*m**2 = 0. What is m?
-1, 1
Suppose -22 = -2*t + 2*i, 5*t = 4*i + 54 + 2. Suppose -t = f - 4*f. Factor -12*k**3 + 6*k**5 - 3*k**5 + 2*k**5 + k**2 - 3*k**f - 5*k**2.
k**2*(k - 2)*(k + 1)*(5*k + 2)
Suppose -2*h - 4*q + 6 = 0, -12 = -4*h - 6*q + q. Let k(c) be the first derivative of -9/4*c**2 - 3 - 7/6*c**h - c. Solve k(s) = 0.
-1, -2/7
Let b(n) = n**2 + 2*n + 5. Let i(f) = f**2 - 4*f - 8. Let g be i(6). Let l(s) = s**2 + 3*s + 6. Let c(m) = g*l(m) - 5*b(m). Factor c(x).
-(x - 1)**2
Let r(m) = -21*m - 10. Let d be r(5). Let v = d - -463/4. Factor v*b - 1/4*b**2 - 1/2.
-(b - 2)*(b - 1)/4
Let d(t) be the third derivative of -9*t**2 - 1/70*t**7 + 0 - 1/2*t**3 - 3/10*t**5 + 0*t + 1/2*t**4 + 1/10*t**6. Factor d(x).
-3*(x - 1)**4
Find z, given that -4*z**2 + 2 - 4*z + 4*z**3 + 4 - 4*z**2 + 2 = 0.
-1, 1, 2
Let t(i) be the third derivative of -i**8/1680 + 2*i**7/315 - i**6/45 + 11*i**4/24 + 9*i**2. Let r(d) be the second derivative of t(d). Factor r(n).
-4*n*(n - 2)**2
Let f(w) be the second derivative of 0*w**2 + 0*w**5 + 0*w**4 - 2/21*w**7 + 0 + 0*w**3 + 1/15*w**6 - 3*w. Factor f(y).
-2*y**4*(2*y - 1)
Let r(j) be the first derivative of j**5 - 5*j**4/4 - 25*j**3/3 - 15*j**2/2 + 39. Suppose r(n) = 0. Calculate n.
-1, 0, 3
Suppose -1/6*m**3 - 1/6 + 1/6*m + 1/6*m**2 = 0. Calculate m.
-1, 1
Factor 4/9*z - 2/9*z**2 - 2/9.
-2*(z - 1)**2/9
Factor -1/4*v**3 - 1/6 + 1/12*v**2 + 1/12*v**4 + 1/4*v.
(v - 2)*(v - 1)**2*(v + 1)/12
Let z(d) be the first derivative of 3*d**2 - 9/5*d**5 + 5/2*d**6 + 0*d + 5 + 3*d**3 - 21/4*d**4. Solve z(g) = 0 for g.
-1, -2/5, 0, 1
Let x(a) be the third derivative of a**5/15 - 2*a**4 + 32*a**2. Factor x(d).
4*d*(d - 12)
Let n(c) be the first derivative of c**3 + 3*c**2 + 3*c + 12. Suppose n(x) = 0. What is x?
-1
Find w such that -1/3*w**3 + 1 - w**2 + 1/3*w = 0.
-3, -1, 1
Let l = 13 - 9. Suppose 50*o**5 - o**5 + 59*o**4 + l*o**2 + 32*o**3 + 18*o**4 = 0. Calculate o.
-1, -2/7, 0
Suppose b + 3*d + 3 = 11, 0 = -2*b - 5*d + 14. Factor -z + 1/4*z**b + 3/4.
(z - 3)*(z - 1)/4
Let g = 1/53 + 103/159. Factor 0 - g*d**2 + 0*d + 2/3*d**3.
2*d**2*(d - 1)/3
Factor -2/9*n**3 + 0*n**2 - 4/9 + 2/3*n.
-2*(n - 1)**2*(n + 2)/9
Let q = 59 + -57. Let h be (-6)/(-4)*1/3. Find y, given that -y - 1/2*y**q - h = 0.
-1
Let a(s) be the first derivative of 1 + 1/24*s**3 + 0*s - 3/2*s**2 + 1/240*s**5 + 1/48*s**4. Let f(p) be the second derivative of a(p). Factor f(y).
(y + 1)**2/4
Determine r, given that 2/11*r**2 + 10/11*r + 12/11 = 0.
-3, -2
Let h be (-3)/((-9)/12 - 0). Suppose 2/7*f**5 + 0 + 4/7*f**h - 2/7*f + 0*f**3 - 4/7*f**2 = 0. Calculate f.
-1, 0, 1
Let u(p) be the first derivative of p**2 - 3/10*p**4 - 4/5*p + 8/15*p**3 + 2. Factor u(j).
-2*(j - 2)*(j + 1)*(3*j - 1)/5
Let a(t) be the second derivative of -3*t**5/40 - 5*t**4/8 - 3*t**3/4 + 27*t**2/4 + 55*t. Factor a(k).
-3*(k - 1)*(k + 3)**2/2
Let b(u) be the second derivative of -3*u**7/133 - u**6/95 + 17*u**5/190 + 7*u**4/114 - 8*u**3/57 - 4*u**2/19 - 16*u. Determine c so that b(c) = 0.
-1, -2/3, 1
Suppose -2*z = -5*c - 139, -3*z - c = -0*c - 166. Factor -75*x**2 - 20*x**4 + z*x**3 - 3*x**4 - 12 + 53*x + 2*x**4 + 3*x**5 - 5*x.
3*(x - 2)**2*(x - 1)**3
Factor 21 - 2*r**2 + 3*r**2 + 2*r - 20.
(r + 1)**2
Let u(i) be the first derivative of i**3/3 + i**2 + i + 9. What is o in u(o) = 0?
-1
Factor -6*n**4 - 2*n**5 - 6*n**4 + 10*n**4.
-2*n**4*(n + 1)
Let d be (-7 + (-68)/(-12))*(-3)/14. Factor -8/7*b**3 + 10/7*b**2 - d*b + 0.
-2*b*(b - 1)*(4*b - 1)/7
Determine n, given that 3*n**2 - 15*n - 8*n**2 + 5*n**3 + 5*n**4 + 10*n = 0.
-1, 0, 1
Let q(o) be the first derivative of 0*o**2 + 1/6*o**3 + 0*o**4 - 1/20*o**5 - 2 - 1/4*o. Solve q(m) = 0.
-1, 1
Let n(b) = b**2 + 6*b - 2. Let p(t) = -2*t**2 - t**2 + 31*t + 2 + 9*t**2 - 11. Let j(r) = -11*n(r) + 2*p(r). Factor j(q).
(q - 2)**2
Let r = -2 + 4. Suppose 0 = 3*k - k - 4. Factor 4*u + 0*u - k*u**2 + 4*u**r + 2.
2*(u + 1)**2
Let d(w) be the first derivative of 2*w**5/25 - 4*w**4/5 + 32