+ 2*w**3/27 + 65. Find h, given that a(h) = 0.
-1, 0, 1
Let n = -9 + 13. Suppose 5*a = n*t + 19, 4*t = a + 3*t - 4. Factor -1/4*v**2 + 1/4 - 1/4*v + 1/4*v**a.
(v - 1)**2*(v + 1)/4
Let n(t) = 4*t + 46. Let v be n(-11). Let k(z) be the first derivative of -4 - v*z - 5*z**2 - 8/3*z**3. Let k(b) = 0. Calculate b.
-1, -1/4
Let d be (-49)/14 + 2 + (1 - -1). Factor 0*h - d*h**2 + 1/2*h**3 + 0.
h**2*(h - 1)/2
Let q be (8/(-5))/((-15)/(-25)) + 3. Find s, given that 2/3 - 5/3*s - q*s**3 + 4/3*s**2 = 0.
1, 2
Factor 288 - 7*r - 46*r + 5*r - 3*r**2 + 5*r**2.
2*(r - 12)**2
Suppose 8*m - 6 = 6*m. Solve -20*w + 0 + 0 + 3*w**3 + m*w**2 - 3*w**4 + 17*w = 0.
-1, 0, 1
Let m(g) = g**3 - 4*g**2 + 2*g + 1. Let a be m(3). Let d be 9/(-6)*a/1. Factor -3*o + d*o**2 + 2*o - 12 + 10.
(o - 1)*(3*o + 2)
Let a be -2 - (-1 + 3 + -2). Let j = a + 5. Factor j - 2*h - 3 - 4*h**4 - 2*h**5 + 4*h + 4*h**2.
-2*h*(h - 1)*(h + 1)**3
Let b(z) be the second derivative of -z**6/240 + z**5/60 - z**4/48 - z**2 - 4*z. Let g(c) be the first derivative of b(c). Let g(d) = 0. What is d?
0, 1
Let i(n) = -4*n**2 + 7*n**5 + n**3 + 3*n - n + 2*n - 3*n**4 + 3*n**2. Let p(u) = 13*u**5 - 6*u**4 + u**3 - u**2 + 7*u. Let y(o) = 7*i(o) - 4*p(o). Factor y(b).
-3*b**2*(b - 1)**2*(b + 1)
Let p be 18/(-12)*8/(-6). Let t = -3 - p. Let k(s) = 22*s**2 - 22*s + 16. Let i(w) = 7*w**2 - 7*w + 5. Let q(r) = t*k(r) + 16*i(r). Factor q(y).
2*y*(y - 1)
Let i = 19 - 16. Let q(t) be the third derivative of 1/120*t**5 + 1/480*t**6 + 0*t**i + 0 + 1/96*t**4 + t**2 + 0*t. Factor q(v).
v*(v + 1)**2/4
Let h(q) be the first derivative of -q**3/2 + 9*q**2/4 - 3*q + 32. Factor h(u).
-3*(u - 2)*(u - 1)/2
Let z be -3 + 3 + 1 - -13. Let d be (3/6)/(z/24). Factor -8/7*j**3 + d*j + 0*j**2 + 2/7.
-2*(j - 1)*(2*j + 1)**2/7
Let p be (-2)/(-4)*-3*-2. Suppose -7*z = -p*z. Let 0 - 2*f**2 + z - 5*f + 3*f = 0. What is f?
-1, 0
Find v, given that 2*v - 5*v**4 + 60*v**3 - 4*v**2 - 51*v**3 - v**2 + v**5 - 2*v**2 = 0.
0, 1, 2
Let -8*q - 12*q - 3*q**3 - 50 + 48*q**2 + 17*q**3 + 6*q**3 + 2*q**4 = 0. What is q?
-5, -1, 1
Let v(b) be the first derivative of b + 1 + 1/30*b**6 - 1/30*b**5 + 0*b**2 + 0*b**3 - 1/36*b**4. Let f(g) be the first derivative of v(g). Factor f(j).
j**2*(j - 1)*(3*j + 1)/3
Let k(o) be the first derivative of 5*o**4/4 + 10*o**3 - 160*o + 34. Determine w so that k(w) = 0.
-4, 2
Let c(x) = -2*x - 6. Let u be c(-4). Let s(n) be the second derivative of 0 - 1/12*n**3 + 1/4*n**2 + u*n + 1/40*n**5 - 1/24*n**4. Factor s(l).
(l - 1)**2*(l + 1)/2
Let b = -2 + 4. Factor -2*t**b + 36*t + 8*t**2 + 3*t**3 + 24 + 12*t**2.
3*(t + 2)**3
Suppose -15 = -8*y + 3*y. What is w in 22*w**5 - 10*w - 9*w**y - 15*w**2 + 3*w**4 + 4*w - 19*w**5 = 0?
-1, 0, 2
Let p(u) = -119*u**2 + u. Let v be p(1). Let r = -350/3 - v. Factor 0*z + 0*z**3 + r*z**2 - 2/3 - 2/3*z**4.
-2*(z - 1)**2*(z + 1)**2/3
Let v(s) = s + 6. Let t be v(-3). Suppose -6 = n - t*n. Factor 4 + 2*i**n + i**3 + 2*i - 6*i**2 - 5*i**3 + 2*i**2.
-2*(i - 1)*(i + 1)*(i + 2)
Let k(q) = -5*q**2 - 8*q + 2. Let m(v) = -36*v**2 - 57*v + 15. Let r(z) = -15*k(z) + 2*m(z). Factor r(x).
3*x*(x + 2)
Let r(t) be the third derivative of -t**6/600 + t**5/50 - 3*t**4/40 + 2*t**3/15 - 37*t**2. Determine j so that r(j) = 0.
1, 4
Let v(p) be the third derivative of p**8/420 - p**7/70 + 3*p**6/80 - p**5/60 + 4*p**2. Let k(u) be the third derivative of v(u). Factor k(l).
3*(4*l - 3)**2
Let t(v) be the first derivative of 1/16*v**4 - 1 + 0*v + 1/12*v**3 + 0*v**2. Determine r so that t(r) = 0.
-1, 0
Let l(z) = 6*z**4 - 2*z**3 - 5*z**2 + 7*z + 4. Let m(u) = -u**4 + u**2 - u - 1. Let y(v) = -4*l(v) - 20*m(v). Suppose y(r) = 0. Calculate r.
-1, 1
Let g be 2/(-12) + 34/60. Let y be (2/(-3))/((-10)/6). Find b, given that -2/5*b - 2/5 + g*b**3 + y*b**2 = 0.
-1, 1
Let l = 17 + -14. Factor 6*a**3 - a**2 + 7*a**2 - 5*a**l - 4*a**3.
-3*a**2*(a - 2)
Let o be (-8)/((-2)/4 - 0). Let y = 16 - o. Factor -1/2*a**2 + y - 1/4*a - 1/4*a**3.
-a*(a + 1)**2/4
Determine q so that 6/5*q - 2/5*q**2 - 4/5 = 0.
1, 2
Let n be (-11)/(-44) + 1/4. Let m(a) be the second derivative of -1/12*a**4 + 1/3*a**3 - a - n*a**2 + 0. Find f such that m(f) = 0.
1
Suppose 6*u = 2*u + 24. Let f be (3/u)/(0 - -1). What is w in -3/2*w + 2*w**2 - f = 0?
-1/4, 1
Let b(j) be the first derivative of -2/3*j**4 + 6 + 0*j**2 + 0*j**3 - 2/9*j**6 + 0*j + 4/5*j**5. Determine t, given that b(t) = 0.
0, 1, 2
Let l = -8 + 10. Let b(r) be the first derivative of -8/45*r**5 + 1/3*r**4 - 8/27*r**3 - 2 + 1/9*r**l + 0*r + 1/27*r**6. Factor b(m).
2*m*(m - 1)**4/9
Solve 2/7*s + 4/7 - 2/7*s**2 = 0 for s.
-1, 2
Suppose -12 = -2*d - b - 3, 0 = 4*d - b - 15. Factor 1/3*a**d + 1/3*a - 1/3*a**3 - 1/3*a**2 + 0.
a*(a - 1)**2*(a + 1)/3
Let v(c) = 0*c + 3*c + 0*c + 2*c**2 - 4 - 5*c. Let b(r) = r**2 - r - 3. Let g(l) = -4*b(l) + 3*v(l). Factor g(h).
2*h*(h - 1)
Let c = 24 + -24. Let l(g) be the first derivative of -2/3*g**3 + 0*g**2 + 1 + c*g - 1/2*g**4. Find z, given that l(z) = 0.
-1, 0
Let n(r) be the second derivative of -1/8*r**3 + 7*r - 1/48*r**4 + 0*r**2 + 0. Factor n(q).
-q*(q + 3)/4
Let b(m) = -9*m**3 + 51*m**2 - 60*m + 9. Let w(v) = -8*v**3 + 51*v**2 - 60*v + 8. Let s(p) = -4*b(p) + 3*w(p). Factor s(a).
3*(a - 2)**2*(4*a - 1)
Let j be (5 + -3)*3/12. Suppose 2*l = 5*l. Determine z, given that 1/2*z + l*z**2 + 1/4 - j*z**3 - 1/4*z**4 = 0.
-1, 1
Factor 6 + 6*h + 24 + 19*h - 5*h**2 + 0.
-5*(h - 6)*(h + 1)
Let p be -7 + (-2 - -1 - -3). Let v = 7 + p. Factor -4/3 - 10/3*r + 14/3*r**v.
2*(r - 1)*(7*r + 2)/3
Let y(h) be the second derivative of 1/12*h**3 + 0 - 1/24*h**4 + 1/60*h**6 + 0*h**2 - 1/40*h**5 - 3*h. What is g in y(g) = 0?
-1, 0, 1
Let q(v) be the second derivative of v**7/84 - v**6/20 + 3*v**5/40 - v**4/24 + 27*v. Solve q(i) = 0.
0, 1
Let p(a) = -a**3 + 5*a**2 + 4*a + 6. Let d be p(6). Let i be (-1 - -1) + (-3)/d. Let -3/2*o**2 + i*o + 1 = 0. What is o?
-2/3, 1
Let m(o) be the third derivative of o**9/52920 - o**8/23520 + o**4/24 + 3*o**2. Let v(c) be the second derivative of m(c). What is r in v(r) = 0?
0, 1
Let t(b) be the second derivative of -2*b + 1/3*b**4 + 0 + 3*b**3 - 9/10*b**5 - 4/15*b**6 + 2*b**2. Determine x, given that t(x) = 0.
-2, -1, -1/4, 1
Let q(h) be the third derivative of -4*h**2 + 1/132*h**4 + 0*h**3 + 0*h + 1/330*h**5 + 0. Factor q(d).
2*d*(d + 1)/11
Let c(q) be the second derivative of 25*q**7/147 + 2*q**6/7 - 61*q**5/70 - 11*q**4/21 + 12*q**3/7 - 8*q**2/7 + 2*q + 8. Let c(t) = 0. What is t?
-2, -1, 2/5, 1
Let b = 19 + -15. Find j, given that -2/7*j**3 + 0 + 2/7*j + 6/7*j**b - 6/7*j**2 = 0.
-1, 0, 1/3, 1
Let z(a) be the third derivative of -a**6/1620 + a**3/3 - 2*a**2. Let q(n) be the first derivative of z(n). Factor q(b).
-2*b**2/9
Let r = 11 + -7. Let h = -27 - -27. Solve -6/7*d**3 - 4/7*d**2 + 0 + 10/7*d**r + h*d = 0.
-2/5, 0, 1
Suppose 3*a - 4*i = -41, 2 + 0 = -a - i. Let y = a - -7. Let -q**3 - 2*q + y - 3*q**2 - q - 3 + 2 = 0. What is q?
-1
Let c = -1 - -6. Let q be (18/(-21))/(c/(-7)). Let -q*m - 2/5*m**2 - 4/5 = 0. What is m?
-2, -1
Solve 20/3*s - 22/3 + 2/3*s**2 = 0.
-11, 1
Factor -4*b**4 - 29*b**2 + 45*b - b**4 + 35*b**3 - 46*b**2.
-5*b*(b - 3)**2*(b - 1)
Let x(u) be the third derivative of -1/1080*u**6 + 1/90*u**5 - 2*u**2 - 1/18*u**4 - 1/3*u**3 + 0 + 0*u. Let q(z) be the first derivative of x(z). Factor q(s).
-(s - 2)**2/3
Factor -4/7 + 2/7*a**2 + 6/7*a**3 - 6/7*a + 2/7*a**4.
2*(a - 1)*(a + 1)**2*(a + 2)/7
What is d in -49/2*d**5 - 112*d**4 - 4 - 361/2*d**3 - 127*d**2 - 38*d = 0?
-2, -1, -2/7
Let x = 38 - 38. Suppose 0 + 1/3*d**3 - 1/3*d**2 + x*d = 0. Calculate d.
0, 1
Let t(n) = -2*n**3 + 36*n**2 + 3. Let a be t(18). Let p be (-1)/2*24/(-14). Factor -6/7*r**2 + 2/7*r**a + p*r - 2/7.
2*(r - 1)**3/7
Let q be (24/9)/(6*(-2)/(-3)). Factor 0*n - 1/3*n**4 + 0 - 1/3*n**2 - q*n**3.
-n**2*(n + 1)**2/3
Let c(j) be the second derivative of -j**5/30 - j**4/4 - 2*j**3/3 + j**2/2 + 2*j. Let d(p) be the first derivative of c(p). Factor d(h).
-2*(h + 1)*(h + 2)
Let i(m) be the second derivative of m**7/168 - m**6/30 - m**5/40 + m**4/4 + 3*m**3/8 - 13*m. Suppose i(a) = 0. Calculate a.
-1, 0, 3
Let r = 7501/30 - 250. Let y(k) be the third derivative of -1/60*k**6 + 1/12*k**4 + 0*k - 1/3*k**3 - 3*k**2 + 0 + r*k**5. Determine b, given that y(b) = 0.
-1, 1
Let f(