-1, 1/2
Suppose -4*o = -5*o. Factor o*w**2 + 2/7*w**4 + 0 + 0*w**3 + 0*w.
2*w**4/7
Let u be (-1)/(15*(-3)/36). Factor 2/5*m - u*m**2 + 4/5 - 2/5*m**3.
-2*(m - 1)*(m + 1)*(m + 2)/5
Factor -5*t**4 + 15*t + 13*t**2 + 9*t**2 + 10 - 15*t**3 - 27*t**2.
-5*(t - 1)*(t + 1)**2*(t + 2)
Solve 28/5*z - 7/5*z**3 - 8/5 + 2/5*z**2 = 0 for z.
-2, 2/7, 2
Determine d, given that 0*d + 0 - 2/5*d**2 - 7/5*d**3 = 0.
-2/7, 0
Let o = 6 + -28. Let l = o + 38. Factor -l*r**2 - 2*r**5 + 2*r**3 + 16*r**2.
-2*r**3*(r - 1)*(r + 1)
Let z = 37/10 + -16/5. Factor 0 - z*c**3 - 1/2*c**4 + 0*c + 0*c**2.
-c**3*(c + 1)/2
Suppose d - 10 = 6*d. Let r be 1/d*(-10)/15. Factor 1/3*p**3 + 0*p**2 + 2/3*p**4 + 0*p + r*p**5 + 0.
p**3*(p + 1)**2/3
Suppose -3 = -5*w - c - 0, 3*c = 9. Let j be 1*(w/(-3) - -3). Factor -6*y + 4*y + 14*y + j*y**3 + 12*y**2.
3*y*(y + 2)**2
Let w = 4 + -2. Suppose -f = w*f - 9. Solve 3*g**3 + g**4 - 5*g**f - 2*g**4 = 0 for g.
-2, 0
Suppose -6*w**5 + w**5 + 1613*w**3 - 20*w**4 - 1633*w**3 = 0. Calculate w.
-2, 0
Let l be (-10)/(-2) + 4/(-2). Determine x so that 53*x**4 + 26*x**2 - 8*x**5 - 48*x**l - 3*x - x - 19*x**4 = 0.
0, 1/4, 1, 2
Let z(t) be the first derivative of -4*t**5/5 - 3*t**4 - 4*t**3/3 + 6*t**2 + 8*t - 5. Factor z(k).
-4*(k - 1)*(k + 1)**2*(k + 2)
Let t(y) be the first derivative of -7*y**5/40 - 23*y**4/32 - 9*y**3/8 - 13*y**2/16 - y/4 + 13. Factor t(z).
-(z + 1)**3*(7*z + 2)/8
Let a(w) be the second derivative of 1/60*w**5 - 1/90*w**6 + 0*w**4 + 0*w**2 - 2*w + 0 + 0*w**3. Factor a(d).
-d**3*(d - 1)/3
Let m(r) be the third derivative of -r**6/48 - r**5/8 + 5*r**4/48 + 5*r**3/4 + 12*r**2. Find a, given that m(a) = 0.
-3, -1, 1
Suppose -4 = -2*m - 2. Let y be m*(1 + -2 + 9). Factor 7*q + 3*q + y*q**3 + 27*q**2 + 2 - 11*q**2.
2*(q + 1)*(2*q + 1)**2
Let y be 0 + 2 + 0/2. Let -10 + 10 - 4*h**2 - y*h**3 = 0. Calculate h.
-2, 0
Let w(a) = 2*a**2 - 4*a + 2. Let t be w(2). Suppose 4*d**3 - 2*d**4 - t*d**2 - 8*d**3 + 0*d**4 = 0. Calculate d.
-1, 0
Suppose -c + 2*f = -f + 1, -4*f = -5*c + 6. Suppose c*p - i = 10, i - 10 = -5*p + 3*p. Factor -b**4 + 3*b**3 + 3*b**4 - p*b**3.
2*b**3*(b - 1)
Let f be 33/9 + (-4 - -1). Factor -f + 1/3*c**2 - 1/3*c.
(c - 2)*(c + 1)/3
Let m(h) = h - 3*h + 3*h**2 - 2*h**2 + 3*h. Let s be m(0). Let s - 1/2*g - 1/4*g**2 = 0. What is g?
-2, 0
Suppose 0 = 5*i - 18 - 42. Factor -2*x**4 - 10*x**2 - 3*x + 0*x**4 - i*x**3 - x + 4*x**3.
-2*x*(x + 1)**2*(x + 2)
Let d = 49 - 49. Let c(s) be the third derivative of 1/360*s**6 - 1/72*s**4 - 1/180*s**5 + 0*s - s**2 + d + 1/18*s**3. Let c(i) = 0. What is i?
-1, 1
Suppose 0 = -z - 0*z + 4. Factor d**2 - 3*d**3 - d**z - d**5 + 0*d**2 + 4*d**3.
-d**2*(d - 1)*(d + 1)**2
Let p(s) be the third derivative of s**7/315 - s**6/90 + s**5/90 + 4*s**2. Solve p(o) = 0 for o.
0, 1
Suppose 0 + 2/3*f**3 + 2/3*f + 4/3*f**2 = 0. What is f?
-1, 0
Factor -18/5 - 33/5*w - 12/5*w**2.
-3*(w + 2)*(4*w + 3)/5
Let i(f) = -3*f**3 - 2*f**2 - 3*f - 2. Let o(h) = h**3 - h**2 - h. Let g(m) = 3*i(m) + 6*o(m). Factor g(a).
-3*(a + 1)**2*(a + 2)
Let t(l) be the second derivative of -l**5/40 - l**4/6 + l**3/12 + l**2 + 31*l. Determine z so that t(z) = 0.
-4, -1, 1
Let f(t) be the first derivative of -t**4/8 + t**3/6 + t**2/2 + 6. Let f(x) = 0. What is x?
-1, 0, 2
Let m = 1213/12 - 101. Let x = m - -5/12. Factor 3/2*r**3 + x*r**2 - 3/2*r + 1/2*r**4 - 1.
(r - 1)*(r + 1)**2*(r + 2)/2
Factor -58 - 44*t + t**2 - 3*t**2 - 184.
-2*(t + 11)**2
Let b(d) be the second derivative of 0*d**2 + 1/30*d**5 - 2/27*d**4 + 0 - 1/27*d**3 - 3*d + 2/15*d**6. Factor b(r).
2*r*(2*r - 1)*(3*r + 1)**2/9
Determine s so that -7*s**2 - 3 + 8*s - s**2 + 1 = 0.
1/2
Let -30/11*q**4 - 52/11*q**3 + 8/11 - 6/11*q**2 + 24/11*q = 0. Calculate q.
-1, -2/5, 2/3
Let -3/7*c**4 + 6/7*c + 36/7*c**3 + 0 + 33/7*c**2 - 12/7*c**5 = 0. What is c?
-1, -1/4, 0, 2
Let c(g) be the third derivative of -2/525*g**7 + 0*g - 1/60*g**4 - 5*g**2 - 3/50*g**5 + 3/100*g**6 + 1/5*g**3 + 0. Solve c(d) = 0.
-1/2, 1, 3
Let o(l) be the second derivative of 0*l**3 - 1/15*l**4 + 1/50*l**5 + 0*l**2 - l + 0. Factor o(v).
2*v**2*(v - 2)/5
Let p(u) be the second derivative of u**4/42 + 10*u**3/7 + 225*u**2/7 + 56*u. Determine f, given that p(f) = 0.
-15
Let z(u) be the first derivative of u**7/210 - u**6/75 - u**5/100 + u**4/30 + u + 4. Let k(o) be the first derivative of z(o). Let k(d) = 0. Calculate d.
-1, 0, 1, 2
Let c(x) be the second derivative of -x**6/70 + 3*x**5/140 + 5*x**4/28 + 3*x**3/14 - 6*x. Factor c(s).
-3*s*(s - 3)*(s + 1)**2/7
Let z(p) = -p**3 + p**2 + p - 1. Let v(j) = j**4 - 6*j**3 + 2*j**2 + 6*j - 3. Let m(f) = -2*v(f) + 10*z(f). Factor m(k).
-2*(k - 2)*(k - 1)*(k + 1)**2
Factor -1205*l**3 + 2979 + 1629*l + 2150*l**2 + 2021 - 5*l**5 + 6871*l + 140*l**4.
-5*(l - 10)**3*(l + 1)**2
Let a = 35 - 35. Factor a*j + 2/7*j**4 + 0 + 0*j**2 - 2/7*j**3.
2*j**3*(j - 1)/7
Let j(r) be the first derivative of -r**5/150 - r**4/30 - 3*r**2/2 + 4. Let d(y) be the second derivative of j(y). Determine q, given that d(q) = 0.
-2, 0
Solve -g**3 + 7*g**4 - 3*g**4 + 118*g**5 - 115*g**5 - 2*g**2 = 0 for g.
-1, 0, 2/3
Let p = -6 + 0. Let b be (-8 - p) + 8/3. Solve -1/3*a**2 + b*a - 1/3 = 0 for a.
1
Suppose -18*p = -21*p + 6. Factor 0 + 2/9*x - 4/9*x**4 - 2/9*x**5 + 0*x**3 + 4/9*x**p.
-2*x*(x - 1)*(x + 1)**3/9
Determine j, given that -1/3*j**5 + 46/3*j**2 + 3 + 3*j**4 - 10*j**3 - 11*j = 0.
1, 3
Find r, given that -4*r**4 + 0 - 12*r**3 + 0*r - 8/3*r**2 + 56/3*r**5 = 0.
-1/2, -2/7, 0, 1
Let u(h) be the first derivative of h**6/360 + h**5/120 + 2*h**3/3 - 1. Let t(d) be the third derivative of u(d). Solve t(c) = 0 for c.
-1, 0
Factor 25/4*a**2 + 5/4*a**3 - 45/4 + 15/4*a.
5*(a - 1)*(a + 3)**2/4
Let s(a) be the first derivative of 1/9*a**4 + 0*a**3 + 2/45*a**5 - 2/9*a**2 - 2/9*a + 2. Factor s(y).
2*(y - 1)*(y + 1)**3/9
Let t be (30/(-216))/((-15)/9). Let d(z) be the second derivative of -1/3*z**3 + t*z**4 - 2*z + 0 + 0*z**2 + 1/10*z**5 - 1/30*z**6. Factor d(x).
-x*(x - 2)*(x - 1)*(x + 1)
Let p(b) = -b**4 - b**3 + b. Let q(z) = -6*z**4 - z**3 - 6*z**2 + 9*z - 1. Let f(r) = -5*p(r) + q(r). Factor f(x).
-(x - 1)**4
Factor -1/4*m**2 + 0 + 5/4*m.
-m*(m - 5)/4
Let p(h) be the first derivative of 0*h**2 + 2/3*h**3 + 0*h - 1. Suppose p(v) = 0. What is v?
0
Let t(s) be the first derivative of -s**3 - 29*s**2/2 + 10*s - 16. Factor t(a).
-(a + 10)*(3*a - 1)
Let p(f) be the first derivative of -9*f**3/8 - 15*f**2/8 - 3*f/8 + 11. Factor p(y).
-3*(y + 1)*(9*y + 1)/8
Let z be (-20 - -5)*4/(-12). Find c such that -8/7*c**4 + 3/7*c**z + 0*c**2 + 6/7*c**3 - 1/7*c + 0 = 0.
-1/3, 0, 1
Let y = -112 - -114. Let b(t) be the first derivative of 0*t**y + t**3 + 0*t**4 - 3/5*t**5 + 4 + 0*t. Factor b(v).
-3*v**2*(v - 1)*(v + 1)
Let q be ((-146)/30 + 5)*1. Determine p so that 2/15*p + 0 - q*p**2 = 0.
0, 1
Determine n so that 23*n**2 - 43*n**2 - 6*n + 23*n**2 + 15*n = 0.
-3, 0
Let d(m) be the second derivative of -m**6/105 - m**5/70 + m**4/14 + 5*m**3/21 + 2*m**2/7 + 11*m. Factor d(v).
-2*(v - 2)*(v + 1)**3/7
Let m be (2 - 5) + (-14)/(-2). Let v be 19/m + (9 - 13). Find n such that 1/4*n**5 + 1/2*n**3 + 1/4 + 1/2*n**2 - 3/4*n - v*n**4 = 0.
-1, 1
Let k(h) = -h**2 + 11*h - 20. Let v be k(14). Let i = -184/3 - v. Factor 0*a + 0 - 4/9*a**2 - 2/9*a**4 + i*a**3.
-2*a**2*(a - 2)*(a - 1)/9
Factor 0 + 0*n**2 + 2/7*n - 2/7*n**3.
-2*n*(n - 1)*(n + 1)/7
Let t(f) be the first derivative of 14/9*f**3 + 1 - 8/15*f**5 + 0*f + 2/3*f**4 + 2/3*f**2. Factor t(c).
-2*c*(c - 2)*(2*c + 1)**2/3
Find y such that -3/4*y**4 + 13/4*y**3 - 9/4*y - y**5 + 1/2 + 1/4*y**2 = 0.
-2, -1, 1/4, 1
Let q(g) be the first derivative of 1/12*g**6 - 7/30*g**5 + 0*g - 3 + 1/8*g**4 - 1/6*g**2 + 1/6*g**3. Let q(f) = 0. What is f?
-2/3, 0, 1
Let v = 1/6 + 1/6. Let b(n) = 2*n - 24. Let y be b(13). Determine z so that 1/3*z**y + 1/3*z**3 + 0*z - v*z**4 - 1/3*z**5 + 0 = 0.
-1, 0, 1
Let o(d) be the second derivative of -d**7/1400 - d**6/600 - d**5/600 - d**4/6 - 2*d. Let s(b) be the third derivative of o(b). Solve s(l) = 0.
-1/3
Let g(w) be the third derivative of -w**6/30 - w**5/15 + w**4/3 + 6*w**2. Factor g(f).
-4*f*(f - 1)*(f + 2)
What is i in -2/3*i**4 + 0 + 0*i**3 + 2*i**2 + 4/3*i = 0?
-1, 0, 2
Let n(o) be the third derivative of o**8/20160 - o**7/7560 - o**4/6 + 4*o**2. Let l(z) be the 