Let w be 2*(1 - 6*2/(-8)). Suppose 0*a**4 + 0 + 0*a**2 + 2/5*a - 4/5*a**3 + 2/5*a**w = 0. What is a?
-1, 0, 1
Let a(j) = -j - 1. Let t be a(-3). Suppose -t*f - 2*f + 8 = 0. Solve f*p**5 - 2*p**3 + 5*p**4 - 5*p**4 = 0.
-1, 0, 1
Let f(i) be the third derivative of -i**5/150 + i**4/60 - 6*i**2. Factor f(c).
-2*c*(c - 1)/5
Let g(a) = -a**2 + 9*a - 9. Let o be g(7). Suppose o*t - 6 = 3*d + 16, 26 = 3*t - 5*d. Factor -2/11*w**t + 0 - 2/11*w.
-2*w*(w + 1)/11
Let r(z) be the first derivative of -z**6/12 - 7*z**5/30 - 5*z**4/24 - z**3/18 + 11. Factor r(u).
-u**2*(u + 1)**2*(3*u + 1)/6
Let w = -502/117 + 40/9. Find d, given that 0 + w*d**4 + 0*d**3 - 2/13*d**2 + 0*d = 0.
-1, 0, 1
Let a(h) = -h**4 - h**3 + h**2 + h - 1. Let s(b) = 8*b**4 + 2*b**3 + 2*b**2 - 14*b + 9. Suppose 17 - 5 = -4*n. Let w(k) = n*s(k) - 21*a(k). Factor w(v).
-3*(v - 2)*(v - 1)**3
Let t(n) be the first derivative of n**7/84 - n**6/60 - n**5/40 + n**4/24 - 3*n + 3. Let m(z) be the first derivative of t(z). Factor m(w).
w**2*(w - 1)**2*(w + 1)/2
Let p(w) be the third derivative of -w**8/1176 - 4*w**7/735 - w**6/140 + 2*w**5/105 + w**4/21 + 4*w**2. Suppose p(m) = 0. What is m?
-2, -1, 0, 1
Let s = -151 - -156. Let i(b) be the second derivative of 0*b**2 + 0*b**3 + 0 + 3/20*b**s - 1/14*b**7 - 4*b - 1/10*b**6 + 1/4*b**4. Factor i(g).
-3*g**2*(g - 1)*(g + 1)**2
Let t(h) = -4*h**3 - 8*h**2 - 6*h - 4 - 3*h - 3*h. Let c(k) = 32*k**2 + 49*k - 3 - 3*k**3 + 19 + 20*k**3. Let z(i) = 2*c(i) + 9*t(i). Let z(r) = 0. What is r?
-2, -1
Solve -l**3 + 3*l**3 + 0*l**2 - 2*l**2 = 0 for l.
0, 1
Let w = -9/2 + 5. Let q(k) be the second derivative of 0*k**2 + k - w*k**3 + 0 + 1/4*k**4. Suppose q(g) = 0. What is g?
0, 1
Let y(o) be the second derivative of 2*o**7/21 - 3*o**5/5 - 2*o**4/3 - 5*o + 1. Find j, given that y(j) = 0.
-1, 0, 2
Let j be (-2)/(-8) - (-22)/8. Find p, given that -p**2 + j*p - p**2 - p**2 = 0.
0, 1
Let l(u) be the first derivative of -u**5/150 - u**4/60 + 3*u**2/2 - 1. Let i(s) be the second derivative of l(s). Factor i(g).
-2*g*(g + 1)/5
Let o = -44 - -265/6. Let k(l) be the third derivative of 0 + 0*l - 11/120*l**6 + 3*l**2 - 1/3*l**5 - o*l**4 + 0*l**3 + 1/6*l**7. Factor k(z).
z*(z - 1)*(5*z + 2)*(7*z + 2)
Let y be 2 + 0 + (-2 - 2) + 5. Let i(r) be the first derivative of 4 + 2/5*r - 2/5*r**y + 2/5*r**2. Determine f so that i(f) = 0.
-1/3, 1
Let d(g) be the first derivative of -g**3/18 + g**2/3 - 2*g/3 + 6. Solve d(t) = 0.
2
Let q(s) be the third derivative of s**8/840 - s**7/525 - s**6/300 + s**5/150 - 5*s**2. Factor q(v).
2*v**2*(v - 1)**2*(v + 1)/5
Let t(f) = -2*f**3 - 4*f**2 - 2*f. Let h(m) = 2*m**3 + 3*m**2 + m. Let s(w) = 2*h(w) + 3*t(w). Factor s(i).
-2*i*(i + 1)*(i + 2)
Let q = 116/3 + -38. Suppose -2/3*s**2 + 2/3*s + 0 - q*s**3 + 2/3*s**4 = 0. Calculate s.
-1, 0, 1
Suppose 2*r + 5 = 5*m + 6*r, 5 = -m - 2*r. Suppose 3*s + 13 = p, 2*p - m*s - 3 = 5*p. Factor -g + 1 - p + g**2 + 2 + g**3.
(g - 1)*(g + 1)**2
Let y = 29 - 143/5. Determine m so that -6/5*m**2 + 7/5*m - y = 0.
1/2, 2/3
Let v = 0 - -5. Factor -5*d**5 - 4*d**2 - 77*d**4 - 20*d**5 - 32*d**3 + 5*d**5 - 29*d**v.
-d**2*(d + 1)*(7*d + 2)**2
Let u(c) = -5*c**3 - 8*c**2 + 5*c + 2. Let g(x) = 40*x**3 + 65*x**2 - 40*x - 15. Let n(r) = 3*g(r) + 25*u(r). Factor n(l).
-5*(l - 1)*(l + 1)**2
Let k(q) be the third derivative of 0*q**3 + 0*q + 1/180*q**5 - 2*q**2 + 1/24*q**4 + 0. Solve k(u) = 0.
-3, 0
Let v be 1/6*(10 - 8). Let g(x) be the first derivative of -1/5*x**5 - 1/3*x**2 + 1/12*x**4 + v*x**3 + 1/18*x**6 - 2 + 0*x. Let g(w) = 0. Calculate w.
-1, 0, 1, 2
Suppose -1/4*u**2 + 1/8*u**3 + 1/8*u + 0 = 0. Calculate u.
0, 1
Suppose 5*v - 5*b = -b + 30, 0 = 4*v - b - 13. Find f, given that -1 + 0 - f**4 - 3*f**v - f - 3*f**3 + 1 = 0.
-1, 0
Let a(p) be the third derivative of -1/3*p**4 + 1/5*p**5 + 0*p**3 + 1/210*p**7 + p**2 - 1/20*p**6 + 0 + 0*p. Factor a(z).
z*(z - 2)**3
Let g(q) = 6*q**3 + 6*q**2 - 7. Let z(y) = -y**3 - y**2 + 1. Let p(f) = -2*g(f) - 14*z(f). Factor p(t).
2*t**2*(t + 1)
Let v(j) be the second derivative of 2/3*j**3 + 0*j**2 - 1/1260*j**6 + 0*j**5 + 0 + 0*j**4 - 2*j. Let b(g) be the second derivative of v(g). Factor b(f).
-2*f**2/7
Let p(c) = -5*c**3 + 9*c**2 - 9*c + 2. Let g(f) = 16*f**3 - 28*f**2 + 28*f - 6. Let d(t) = 6*g(t) + 20*p(t). Let d(y) = 0. What is y?
1
Let z(d) be the first derivative of -d**3/3 - 17*d**2/8 - d + 27. Factor z(t).
-(t + 4)*(4*t + 1)/4
Let i(k) = k**3 - 7*k**2 - 7*k - 15. Let f be i(8). Let g be (3/(-6))/(f/8). Factor 6/7*v + g*v**2 - 4/7*v**3 - 6/7*v**4 + 2/7 - 2/7*v**5.
-2*(v - 1)*(v + 1)**4/7
Suppose 18*z - 10*z = 0. Suppose 2/7*i**5 + 6/7*i**3 + z + 6/7*i**4 + 0*i + 2/7*i**2 = 0. What is i?
-1, 0
Let u(q) be the third derivative of 0 + 1/672*q**8 - 1/240*q**6 + 0*q**3 + 0*q**4 - q**2 + 0*q + 1/120*q**5 - 1/420*q**7. Factor u(h).
h**2*(h - 1)**2*(h + 1)/2
Let a(y) be the first derivative of 4*y**3/3 + 4*y**2 - 32*y + 3. What is b in a(b) = 0?
-4, 2
Let h(x) = -5*x**2 + 5*x + 2. Let u(i) = i**2 - i. Let d(n) = h(n) + 4*u(n). Factor d(s).
-(s - 2)*(s + 1)
Let i(a) be the first derivative of 0*a**2 - 2/3*a**3 - a**4 + 0*a - 2/5*a**5 - 3. Solve i(v) = 0.
-1, 0
Suppose 16 = 5*q - y, 0 = -3*q - 0*y + 5*y - 8. Let a(c) be the second derivative of 0 - 1/30*c**6 + 0*c**2 + 1/10*c**5 - 1/12*c**q + 0*c**3 + 2*c. Factor a(v).
-v**2*(v - 1)**2
Factor 0 - 1/2*t**2 - 1/4*t - 1/4*t**3.
-t*(t + 1)**2/4
Let c be 3 - (-3)/6*(-290)/55. Solve 2/11 + c*j + 2/11*j**2 = 0 for j.
-1
Let y(z) = 4*z**2 + 2*z - 5*z + 5*z**2 - 9*z**3 + 8*z**4 - 5*z - 5. Let b(h) = 7*h**4 - 9*h**3 + 9*h**2 - 7*h - 4. Let c(n) = -5*b(n) + 4*y(n). Factor c(l).
-3*l*(l - 1)**3
Let m(q) be the first derivative of -1 + 0*q - 1/24*q**6 + 0*q**5 + 0*q**2 + 0*q**3 + 1/16*q**4. Factor m(i).
-i**3*(i - 1)*(i + 1)/4
Let v(g) = g**3 + 5*g**2 - 2*g - 7. Let w be (-4)/4 - (-1 + 5). Let c be v(w). Determine y so that -2*y**c - 2*y**2 + 0*y**2 + 0*y**3 = 0.
-1, 0
Let k = -20/13 - -153/91. Let n(q) be the first derivative of 0*q - 2/7*q**2 - 2/21*q**3 + 2 + 2/35*q**5 + k*q**4. Factor n(c).
2*c*(c - 1)*(c + 1)*(c + 2)/7
Let a(u) = 48*u**2 + 42*u - 6. Let o(h) = -7*h**2 - 6*h + 1. Let q(c) = 6*a(c) + 44*o(c). Factor q(x).
-4*(x + 1)*(5*x - 2)
Suppose -3*d = -14 - 1. Factor -2*k**2 - 8*k + 16 - 2*k**2 + d*k**3 - 3*k**3.
2*(k - 2)**2*(k + 2)
Find m such that -4/5*m - 2/5*m**2 + 2/5*m**4 + 0 + 4/5*m**3 = 0.
-2, -1, 0, 1
Factor 0 - 3/2*m**2 - 9/4*m**3 - 1/4*m - m**4.
-m*(m + 1)**2*(4*m + 1)/4
Let r(y) be the second derivative of 1/3*y**3 - 1/360*y**6 + 0*y**2 + 0 + 1/120*y**5 - y + 0*y**4. Let h(f) be the second derivative of r(f). Factor h(n).
-n*(n - 1)
Suppose -25*z + 6 = -24*z. Let p(r) be the third derivative of -1/160*r**z + 1/6*r**3 + 0 + 0*r**4 + 0*r - 7/240*r**5 + 3*r**2. Suppose p(x) = 0. What is x?
-2, -1, 2/3
Let -92*n + 45 + 121*n**2 + 124*n**2 - 118*n = 0. What is n?
3/7
Let g(j) be the second derivative of 1/10*j**5 - 1/42*j**7 - 1/6*j**4 - j + 0 - 1/6*j**3 + 1/2*j**2 + 1/30*j**6. Factor g(b).
-(b - 1)**3*(b + 1)**2
What is u in 0*u**3 - 4/15*u**2 + 2/15*u**4 + 2/15 + 0*u = 0?
-1, 1
Factor -4*d**4 - 24*d**3 - 5*d**2 + 29*d - 7*d**2 + 11*d.
-4*d*(d - 1)*(d + 2)*(d + 5)
Let s(i) = 2*i - 2. Let d be s(2). Factor -2*q**5 + 2*q**d + 0*q**4 - q**4 - q**4 + 2*q**3.
-2*q**2*(q - 1)*(q + 1)**2
Suppose 0 = -7*f - 4 + 4. Let o(u) be the first derivative of -1/6*u**3 + 1/2*u**5 + 2 + f*u**2 + 1/2*u**4 + 0*u. Factor o(a).
a**2*(a + 1)*(5*a - 1)/2
Let s(h) be the second derivative of -8*h**6/15 - 7*h**5/5 - h**4 + h**3/6 + h**2/2 + 2*h. Solve s(x) = 0.
-1, -1/2, 1/4
Let y = -62 + 62. What is c in 6/5*c**3 - 3/5*c**2 + 0*c + y - 3/5*c**4 = 0?
0, 1
Factor -1/4*r**2 + 3/4 + 1/2*r.
-(r - 3)*(r + 1)/4
Suppose x = -3*x + 8. Solve 5*n**x - n**2 + 8*n + 8 - 2*n**2 = 0.
-2
Suppose -48 - 18 = -22*i. Let x be -1 + 0 + 14/10. Let 2/5*h + 2/5*h**4 - x*h**i - 2/5*h**2 + 0 = 0. What is h?
-1, 0, 1
Let m(n) be the second derivative of n**5/50 - n**4/30 - 8*n. Determine z, given that m(z) = 0.
0, 1
Let a be ((-18)/8 - (-3 + 1))*0. Determine v, given that a*v**4 + 0*v**2 - 1/3*v - 1/3*v**5 + 2/3*v**3 + 0 = 0.
-1, 0, 1
Let c(p) = 2*p**2 + 5*p**3 - 8*p - p**3 + 2*p**3 - 8*p**3. Let j(r) = -4*r**3 + 5*r**2 - 16*r. Let o(z) = -11*c(z) + 6*j(z). Factor o(t).
-2*t*(t - 2)**