+ 6 = 0. Suppose -4*t**2 + 4*t**3 - 4*t**2 + 0*t**2 + 2*t**2 + m*t = 0. Calculate t.
0, 1/2, 1
Find s such that 2/11*s + 4/11*s**2 + 0 + 2/11*s**3 = 0.
-1, 0
Let v = -33 + 35. Let h be (-45)/27 + v*1. Factor -1/3*t**2 + 0 - h*t**3 + 1/3*t + 1/3*t**4.
t*(t - 1)**2*(t + 1)/3
Let q = 15 - 10. Factor -5*j**4 - j**q + 5*j**4 + 2*j**4.
-j**4*(j - 2)
Let b = 39/22 + -3/11. Factor -1/2*n**5 + b*n**3 + 0 + 0*n + 0*n**4 - n**2.
-n**2*(n - 1)**2*(n + 2)/2
Solve 0 + 8/11*q - 2/11*q**2 = 0.
0, 4
Let d(t) = -t**4 - 8*t**3 + 3*t**2 + 4*t + 2. Let m(h) = -15*h**4 - 129*h**3 + 48*h**2 + 63*h + 33. Let w(b) = 33*d(b) - 2*m(b). Factor w(a).
-3*a*(a - 1)*(a + 1)*(a + 2)
Let m be 1 - 3 - (-4 + 0). Let j be (-4)/8 - 11/(-2). Factor 4/7*z**3 - 2/7*z**4 + 4/7*z**m - 2/7*z**j - 2/7 - 2/7*z.
-2*(z - 1)**2*(z + 1)**3/7
Suppose 2*r + 9 = 5*r, -2*r + 14 = 4*m. Find n such that -m*n**2 + 2*n**3 + 0*n**3 - 2*n**2 = 0.
0, 2
Let c = -204 - -1249/6. What is q in 2/3 - 10/3*q + c*q**2 = 0?
2/5
Let h = -47 + 51. Let -3/4*n**h + 0*n**2 + 3/2*n**3 + 3/4 - 3/2*n = 0. Calculate n.
-1, 1
Let z be 4/(-10) + 36/(-10). Let u be (-20)/(-21) + z/14. Determine p so that -4/3*p**2 + 2/3*p**3 + 0 + u*p = 0.
0, 1
Let s = 51 - 46. Let x(v) be the third derivative of 1/12*v**4 + 2*v**2 - 1/15*v**3 + 0 - 2/75*v**s + 0*v. Factor x(k).
-2*(k - 1)*(4*k - 1)/5
Let t = 64/87 - 2/29. Factor -s**2 + 0*s**3 + 1/3*s**4 + 0 - t*s.
s*(s - 2)*(s + 1)**2/3
Let r = 11 + -8. Suppose -5 = -i - r. Factor 0 + 1/3*d**i + 2/3*d.
d*(d + 2)/3
Let i(q) be the third derivative of -q**8/6720 + q**6/720 - q**4/8 - 3*q**2. Let g(z) be the second derivative of i(z). Factor g(m).
-m*(m - 1)*(m + 1)
Factor 0*m**3 - 4/7*m**5 + 8/7*m**2 + 4/7*m + 0 - 8/7*m**4.
-4*m*(m - 1)*(m + 1)**3/7
Let r(g) be the first derivative of -2/15*g**3 - 4 - 2/5*g + 2/5*g**2. Find t, given that r(t) = 0.
1
Let g(j) be the first derivative of -1/12*j**3 + 3 + 0*j**2 + j. Find v, given that g(v) = 0.
-2, 2
Let p(f) be the first derivative of -3*f**5/10 + 21*f**4/8 - 9*f**3 + 15*f**2 - 12*f - 2. Factor p(m).
-3*(m - 2)**3*(m - 1)/2
Let n(x) be the second derivative of -x**9/37800 - x**8/16800 + x**4/12 + 2*x. Let o(g) be the third derivative of n(g). Suppose o(h) = 0. What is h?
-1, 0
Factor 52/3*m**2 + 0 + 16/3*m + 12*m**3.
4*m*(m + 1)*(9*m + 4)/3
Let m be (-3)/(2 - 38/16). Suppose 4*s = m*s. Factor h**2 - 1/2*h + 1/2*h**5 - h**4 + 0*h**3 + s.
h*(h - 1)**3*(h + 1)/2
Let a = 11 + -9. Suppose 4*z - a*c - 10 = 0, -z + 3 - 1 = -c. Let 2*g**z - 3*g**2 - 3*g**3 - 1 - 7*g + 4*g = 0. Calculate g.
-1
What is p in -30 + 30*p + p**2 - 6 - 6*p - 5*p**2 = 0?
3
Let j(w) be the second derivative of 0 - 1/54*w**4 - 8*w + 2/27*w**3 - 1/9*w**2. Suppose j(x) = 0. What is x?
1
Let v(j) = -15*j**3 - 180*j**2 - 297*j + 183. Let r(t) = -4*t**3 - 45*t**2 - 74*t + 46. Let h(w) = 9*r(w) - 2*v(w). Determine c, given that h(c) = 0.
-4, 1/2
Let w(n) = -n**3 - 29*n**2 + n + 31. Let f be w(-29). Factor 0 - 3/2*a**3 + 4*a**2 - f*a.
-a*(a - 2)*(3*a - 2)/2
Let r = -5 + 17. Let f be (r/(-21))/(2/(-7)). Solve -3*u - f*u**3 + 2*u**3 + u**3 + 2*u = 0 for u.
-1, 0, 1
Let q = 5691/11 - 517. Let v = -10 + 10. Solve q*x**2 - 2/11*x**5 - 4/11*x**4 + 0 + v*x**3 + 2/11*x = 0 for x.
-1, 0, 1
Let s = -2/161 - 1119/644. Let i = 51/20 + s. Factor 0*p**2 + 6/5*p - i - 2/5*p**3.
-2*(p - 1)**2*(p + 2)/5
Suppose -g + 0 = -7. Suppose -2*s = 3*u + g, -2*u = -2*s + 7*s - 10. Factor s*q**3 + q**2 - 1 - q + 0*q**2 - 3*q**3.
(q - 1)*(q + 1)**2
Let n = -13 + 13. Let u(s) be the first derivative of 3/20*s**5 + n*s**2 - 1/24*s**6 - 3/16*s**4 + 0*s + 1/12*s**3 + 2. Factor u(p).
-p**2*(p - 1)**3/4
Factor -2/3*z + 1/3*z**2 + 1/3*z**3 + 0.
z*(z - 1)*(z + 2)/3
Let t be 12/(-16) - 275/(-132). Factor t*n - 2/3*n**2 + 0.
-2*n*(n - 2)/3
Solve -27/5*k**4 - 84/5*k**2 + 18*k**3 + 24/5*k + 0 = 0.
0, 2/3, 2
Let o(m) be the third derivative of -m**6/30 + m**5/15 + m**4/6 - 2*m**3/3 - 14*m**2. Factor o(j).
-4*(j - 1)**2*(j + 1)
Let p(b) be the first derivative of 0*b - 1/4*b**3 + 4 - 3/16*b**4 + 0*b**2. Factor p(y).
-3*y**2*(y + 1)/4
Let z(o) be the third derivative of -o**7/180 - o**6/60 - o**5/90 - o**3/2 + o**2. Let k(m) be the first derivative of z(m). What is w in k(w) = 0?
-1, -2/7, 0
Let z(h) be the first derivative of -h**5/20 - h**4/16 + h**3/12 + h**2/8 - 39. Let z(r) = 0. Calculate r.
-1, 0, 1
Factor 10/21*w**3 + 128/7*w + 122/21*w**2 + 24/7.
2*(w + 6)**2*(5*w + 1)/21
Suppose 3*c - 21 = -6. Factor c*v**2 - 7*v**3 + v**3 - 14*v**2 - v**4.
-v**2*(v + 3)**2
Let k(s) be the first derivative of s**5/5 - 7*s**4/8 - s**3 + 7*s**2/4 + 2*s - 22. Let k(j) = 0. What is j?
-1, -1/2, 1, 4
Let l(v) be the second derivative of -3*v**6/10 - 11*v**5/20 - v**4/6 + 8*v. Factor l(t).
-t**2*(t + 1)*(9*t + 2)
Suppose 7*r - 24 = 4. Let m(a) be the third derivative of 0*a**3 - 1/6*a**r + 0 + 1/10*a**5 - 1/105*a**7 + 0*a**6 + 2*a**2 + 0*a. Factor m(h).
-2*h*(h - 1)**2*(h + 2)
Let r = 162 - 158. Suppose 2/9*o**2 + 0*o + 0*o**3 + 0 - 2/9*o**r = 0. What is o?
-1, 0, 1
Suppose -3*v = 2*w - 19, 3*v + w = v + 12. Suppose h + 2 = v. Solve 2*g - g - 6*g**2 - h*g = 0 for g.
-1/3, 0
Let g(h) be the first derivative of -4*h**5/5 + 4*h**3/3 + 13. What is x in g(x) = 0?
-1, 0, 1
Let v = 9 + -6. Suppose r = v*r. Solve -2/7*w**2 + 2/7*w**5 + r*w - 2/7*w**3 + 0 + 2/7*w**4 = 0.
-1, 0, 1
Let w(c) = -3*c**2 - 20*c - 10. Let n be w(-9). Let m = -217/3 - n. Factor -m*h**3 + 0 + 4/3*h**2 + 0*h.
-2*h**2*(h - 2)/3
Let u(g) be the second derivative of -g**7/84 - g**6/12 - 9*g**5/40 - 7*g**4/24 - g**3/6 + 20*g. What is s in u(s) = 0?
-2, -1, 0
Let 57/7*t**4 + 24/7*t**2 - 12/7*t + 0 + 12/7*t**5 + 81/7*t**3 = 0. What is t?
-2, -1, 0, 1/4
Let b(d) be the first derivative of -8/3*d**3 + 2*d**2 - 1/2*d + 5. Factor b(y).
-(4*y - 1)**2/2
Let s = 81 + -79. Factor 18/7*d**s - 2*d**3 + 0 - 4/7*d.
-2*d*(d - 1)*(7*d - 2)/7
Let b be (-1)/(9/(-6))*3. Let z be 1/(b/(-8)*-10). Factor 0*a - 2/5*a**2 - 2/5*a**3 + z*a**5 + 2/5*a**4 + 0.
2*a**2*(a - 1)*(a + 1)**2/5
Let a(u) be the first derivative of -u**6/24 - 3*u**5/10 - 7*u**4/8 - 4*u**3/3 - 9*u**2/8 - u/2 + 7. Factor a(q).
-(q + 1)**4*(q + 2)/4
Let z be 4/(-26) - (-114)/65. Let c = -233/5 - -47. Factor -c*h**2 - z - 8/5*h.
-2*(h + 2)**2/5
Suppose -85*k = -103*k + 36. Factor 2/13*s**k - 8/13*s + 0.
2*s*(s - 4)/13
Let d be (1 + 3)*(-6)/(-8). Let i(n) be the second derivative of -n + 1/105*n**6 + 0*n**2 + 1/42*n**4 - 1/35*n**5 + 0 + 0*n**d. Determine x so that i(x) = 0.
0, 1
Factor 9/4*w**2 - 7/4*w + 1/4*w**4 + 1/2 - 5/4*w**3.
(w - 2)*(w - 1)**3/4
Factor 10/17*y**3 + 0 - 16/17*y**2 + 8/17*y - 2/17*y**4.
-2*y*(y - 2)**2*(y - 1)/17
Let -4 - 2/5*t**4 + 22/5*t**2 - 18/5*t**3 + 18/5*t = 0. What is t?
-10, -1, 1
Let q(g) = g**2 + 1. Let f(w) = -3*w**2 + 2*w - 3. Let o be ((-1)/(-1))/(6/(-12)). Let z(p) = o*q(p) - f(p). Suppose z(n) = 0. Calculate n.
1
Let h be ((-105)/(-140))/(-2 + 74/16). Factor -2/7 + h*n**2 + 0*n.
2*(n - 1)*(n + 1)/7
Let c = -3/4 + 3/2. Let p(o) = -o - 5. Let d be p(-5). Suppose -c*w + 1/2 + 1/4*w**3 + d*w**2 = 0. What is w?
-2, 1
Let p(r) = 24*r**3 - 39*r**2 - 15*r + 6. Let j(a) = -47*a**3 + 77*a**2 + 29*a - 10. Let g(o) = 3*j(o) + 5*p(o). Factor g(z).
-3*z*(z - 2)*(7*z + 2)
Let v(o) be the third derivative of o**5/30 - o**4/12 - o**2. Let v(b) = 0. Calculate b.
0, 1
Let r(k) = -k**2 - 1. Let p(a) = -7*a**2 - 2*a - 8. Let o be 120/70*(-13 + -1). Let z(j) = o*r(j) + 3*p(j). Suppose z(u) = 0. Calculate u.
0, 2
Let z(s) be the third derivative of -s**6/60 + s**5/60 - s**3/2 + 2*s**2. Let r(f) be the first derivative of z(f). Factor r(a).
-2*a*(3*a - 1)
Let k(y) be the first derivative of -4/21*y**6 + 6/7*y**3 - 18/35*y**5 + 3 + 1/7*y**4 + 2/7*y**2 + 0*y. Determine i so that k(i) = 0.
-2, -1, -1/4, 0, 1
Let c be 2/(1 - 25)*(-8 - -6). Let r(u) be the first derivative of 3/5*u**5 + 0*u**2 + 3/4*u**4 - 2 + c*u**6 + 1/3*u**3 + 0*u. Solve r(s) = 0 for s.
-1, 0
Let x(k) be the first derivative of 4 + 0*k + 0*k**2 + 1/4*k**3. Factor x(z).
3*z**2/4
Let s = -3 + 11. Suppose -2*i + s = -0. What is d in 10*d**3 - d + 4*d**5 + 3*d**2 - 8*d**5 - 5*d**3 - 3*d**i = 0?
-1, 0, 1/4, 1
Let n = 24 + -16. Let d = n + -4. Factor 4*k**d + k**3 - k**5 + 0*k**4 - 2*k**3 - 2*k**5.
-k**3*(k - 1)*(3*k - 1)
Let i(o) = -o - 5. Let r be i(-7). Supp