+ 4/5*j**2.
-2*j*(j - 1)**2/5
Suppose 1/2*u - 1/4*u**2 + 0 = 0. What is u?
0, 2
Factor -4/11 + 2/11*p**2 + 2/11*p.
2*(p - 1)*(p + 2)/11
Let v(w) = w**2 - 5*w + 4. Let b be v(4). What is d in b*d + 0 - 2/7*d**2 + 2/7*d**4 + 0*d**3 = 0?
-1, 0, 1
Let f be 4/8 - 35/(-76). Let m = f + -4/19. Let 0 - m*n**3 + 1/2*n + 1/4*n**2 = 0. Calculate n.
-2/3, 0, 1
Let x(g) be the third derivative of g**5/20 - g**4/4 + g**3/2 - 13*g**2. Factor x(f).
3*(f - 1)**2
Suppose l - 189 = 4*p - 0*l, 2*l - 237 = 5*p. Let b = 49 + p. Factor 0 + 12*d**b - 4/3*d + 42*d**4 - 49/3*d**5 - 109/3*d**3.
-d*(d - 1)**2*(7*d - 2)**2/3
Factor 29*h**3 - 8*h + 25*h**3 - 52*h**3.
2*h*(h - 2)*(h + 2)
Let o = 8 - 7. Let w(x) = 4*x**3 - 2*x**2 + 1. Let q be w(o). Let 2/5*b - 2/5*b**4 - 6/5*b**2 + 6/5*b**q + 0 = 0. Calculate b.
0, 1
Let s(n) be the third derivative of -2*n**7/105 + n**6/15 - n**5/15 - n**2. Suppose s(x) = 0. Calculate x.
0, 1
Let d(m) be the first derivative of -1/10*m**4 - 3/5*m**2 + 2/5*m - 3 + 2/5*m**3. Factor d(s).
-2*(s - 1)**3/5
Let r(d) be the first derivative of d**7/21 - 2*d**6/15 + d**4/3 - d**3/3 + 2*d - 2. Let q(u) be the first derivative of r(u). Suppose q(m) = 0. What is m?
-1, 0, 1
Let q(x) be the second derivative of -x**6/40 + x**5/5 - 5*x**4/8 + x**3 - 9*x**2/2 + x. Let k(z) be the first derivative of q(z). Factor k(b).
-3*(b - 2)*(b - 1)**2
Let m be -2*(1 - 4*-1). Let v be m/(-4)*1/5. Factor -o + v*o**2 + 1/2*o**3 + 0.
o*(o - 1)*(o + 2)/2
Let r(q) = q + 2. Let v be r(0). Suppose -2*b + 4*b = 4. Factor -4*y - b - y + y - v*y**2.
-2*(y + 1)**2
Let i be -4 + ((-198)/4)/(-11). Factor 0 - i*j**3 + 0*j + 1/2*j**4 + 0*j**2.
j**3*(j - 1)/2
Let x(r) be the first derivative of 3*r**4/8 - r**3/2 - 3*r**2/2 - 3. Factor x(o).
3*o*(o - 2)*(o + 1)/2
Suppose -6*d = -12 - 0. Find v such that -2/3*v**4 + 0 + 2/3*v**3 - 2/3*v + 2/3*v**d = 0.
-1, 0, 1
Let s(y) be the second derivative of y**6/90 + y**5/30 - y**4/3 + 2*y**3/3 + y. Let k(p) be the second derivative of s(p). Let k(u) = 0. What is u?
-2, 1
Suppose -l - l = -3*z, 3*z + l = 0. Let q = z - -9. Suppose 3*t**3 + 4*t**4 - t**3 - q*t**4 = 0. Calculate t.
0, 2/5
Let f(u) be the first derivative of -u**6/120 - u**5/20 - u**4/8 - u**3/6 + 5*u**2/2 - 6. Let v(h) be the second derivative of f(h). Solve v(a) = 0 for a.
-1
Let q(h) be the first derivative of -4*h**3/3 - 4*h**2 + 12*h - 9. Factor q(g).
-4*(g - 1)*(g + 3)
Let p be 102/(-36) - -1*3. Find j, given that 0*j**3 - p*j**5 + 1/3*j**2 - 1/3*j**4 + 1/6*j + 0 = 0.
-1, 0, 1
Let s(t) = -t - 8. Let v be s(4). Let r be 8/v*2/(-4). Factor 2/3*f**2 - 2/3*f**4 - r*f + 0 + 1/3*f**5 + 0*f**3.
f*(f - 1)**3*(f + 1)/3
Let q = -9548/9 - -1061. Factor 0 - q*o**3 + 1/9*o - 1/9*o**2 + 1/9*o**4.
o*(o - 1)**2*(o + 1)/9
Suppose -r - 2*r + 3*f = 3, 11 = 4*r + f. Suppose -3*z + 14 = -2*a, -5*z - 2*a = -a - 6. Factor t + t**2 - r*t**z + t.
-t*(t - 2)
Let o(y) be the second derivative of -y**7/210 - y**6/90 - y**5/120 - 5*y**3/6 - y. Let v(d) be the second derivative of o(d). Factor v(h).
-h*(2*h + 1)**2
Suppose -s + 1/2*s**2 - 1/2*s**4 + 0 + s**3 = 0. What is s?
-1, 0, 1, 2
Let q(i) = -i**4 - i**3 - i**2 + 1. Let b(u) = 4*u**3 + 4*u**2 - 2*u - 2. Let c(p) = -p - 10. Let k be c(-8). Let z(r) = k*q(r) - b(r). Solve z(o) = 0 for o.
-1, 0, 1
Let m = 313/780 - 5/13. Let a(u) be the third derivative of -3*u**2 - 1/30*u**5 + 1/36*u**4 - 1/315*u**7 + 0*u + m*u**6 + 0*u**3 + 0. Solve a(s) = 0.
0, 1
Let d(j) be the first derivative of 0*j + 1/6*j**4 - 1/15*j**5 - 1/9*j**3 + 0*j**2 - 6. Factor d(w).
-w**2*(w - 1)**2/3
Let g(c) be the third derivative of c**6/60 - c**4/4 - 2*c**3/3 - 6*c**2. Solve g(o) = 0.
-1, 2
Let -6/7 + 2/7*s**2 - 4/7*s = 0. Calculate s.
-1, 3
Let f(y) be the first derivative of -y**5/20 - y**4/4 - y**3/2 - 2*y**2 - 6. Let k(n) be the second derivative of f(n). Solve k(h) = 0 for h.
-1
Factor 18/13*d**2 + 2/13*d**4 + 0*d - 12/13*d**3 + 0.
2*d**2*(d - 3)**2/13
Suppose 0*k - 5*v + 2 = -k, -3*k + 5*v + 4 = 0. Suppose -3*b = 4*p - 14, -k*b + b - p = -6. Factor -1 - 2*g**b - 1/2*g**3 - 5/2*g.
-(g + 1)**2*(g + 2)/2
Solve -19*p**3 - 16*p + 23*p**3 - 4*p**2 + 4*p**2 = 0 for p.
-2, 0, 2
Let w(q) be the first derivative of q**6/27 + 2*q**5/15 + q**4/18 - 2*q**3/9 - 2*q**2/9 + 48. Find f, given that w(f) = 0.
-2, -1, 0, 1
Let t(f) be the first derivative of -f**3 - 9*f**2/2 - 10. Factor t(u).
-3*u*(u + 3)
Let q(j) be the first derivative of j**6/6 - j**5/5 - 3*j**4/4 + j**3/3 + j**2 + 6. Factor q(g).
g*(g - 2)*(g - 1)*(g + 1)**2
Let t = 102 + -100. Solve -24*u**t + 21/2*u**3 + 6*u + 0 = 0 for u.
0, 2/7, 2
Find o such that 9/8*o**3 + 0 - 3/8*o**2 + 3/2*o**4 + 0*o = 0.
-1, 0, 1/4
Let s(f) = -f**2 + 5*f - 2. Let k(h) = -h**2 + 5*h. Let z be k(4). Let r be s(z). Factor -4/5 - 6/5*q**2 + r*q.
-2*(q - 1)*(3*q - 2)/5
Let -2/3*o - 1/6*o**2 - 2/3 = 0. What is o?
-2
Let d = -22 - -32. Suppose -2*j + d = 4. Let l**3 - 3 - l**3 + 3*l - j*l**3 + 3*l**2 = 0. Calculate l.
-1, 1
Let n(c) be the second derivative of -c**4/48 - c**3/8 + 8*c + 1. Let n(a) = 0. What is a?
-3, 0
Let o be ((-1)/1)/(5/30). Let c = 8 + o. Factor 2*f**3 + f**2 - 5*f**2 + 8 - c*f**2.
2*(f - 2)**2*(f + 1)
Let m(j) be the first derivative of -3*j**5/10 - 3*j**4/4 + 4. Determine v so that m(v) = 0.
-2, 0
Let f(c) be the first derivative of -4*c**5 + 22*c**4 - 92*c**3/3 + 12*c**2 - 2. Let f(k) = 0. Calculate k.
0, 2/5, 1, 3
Let k = 16 - 8. Let t be (k/12)/((-2)/(-6)). Let 5/2*z**3 + 0*z + 0 - 5/2*z**5 - z**t + z**4 = 0. What is z?
-1, 0, 2/5, 1
Let z(c) be the first derivative of -5*c**3/12 - 5*c**2/4 - 18. Solve z(r) = 0.
-2, 0
Let z(i) be the first derivative of i**5/5 + i**4/2 + i**3/3 - 14. Factor z(c).
c**2*(c + 1)**2
Let y = -125 - -376/3. Solve 0*i + y*i**4 + 0 - 2/3*i**2 + 1/3*i**3 = 0 for i.
-2, 0, 1
Let n be (-4)/((-12)/21) + -3. Suppose t - 12 = 2*d, t - 4*t - n*d = 14. Factor 1/2*i - 1/4 - 1/4*i**t.
-(i - 1)**2/4
Let a = 15 - 10. Let m(u) = -6*u + 3*u**3 - a*u**3 + 0 + 6. Let w(t) = 4*t**3 + 13*t - 13. Let x(l) = -13*m(l) - 6*w(l). Suppose x(v) = 0. What is v?
0
Let q(b) = 10*b**5 + 24*b**4 + 45*b**3 - 17*b**2 - 48*b + 7. Let w(z) = -3*z**5 - 8*z**4 - 15*z**3 + 6*z**2 + 16*z - 2. Let u(m) = 2*q(m) + 7*w(m). Factor u(d).
-d*(d - 1)*(d + 1)*(d + 4)**2
Let i(n) = 2*n. Let g be i(-7). Let x be g/(-8) - (-2)/8. Factor -3*f**x - 5 + 3 - 3*f**2 + 7*f + f.
-2*(f - 1)*(3*f - 1)
Let n = 1/4 - -1/4. Solve k**3 + 2*k**5 + 0*k + 7/2*k**4 + 0 - n*k**2 = 0 for k.
-1, 0, 1/4
Let i(w) be the second derivative of 2/15*w**6 + w + 7/3*w**3 - 2*w**2 - 1/21*w**7 + 0 - 4/3*w**4 + 1/5*w**5. Determine v so that i(v) = 0.
-2, 1
Let g be 627/(1 - 13/(-2)). Let w = -83 + g. Let w*c - 3/5*c**2 + 1/5*c**3 - 1/5 = 0. Calculate c.
1
Let z(n) be the first derivative of 9/4*n**4 + 4 + 0*n + 3/2*n**2 - 3*n**3 - 3/5*n**5. Factor z(p).
-3*p*(p - 1)**3
Let z(q) be the first derivative of 1/60*q**5 + 0*q**3 + 0*q - 3 - 2*q**2 + 1/12*q**4. Let i(u) be the second derivative of z(u). What is p in i(p) = 0?
-2, 0
Factor -15/2*j - 3/2 + 9*j**2.
3*(j - 1)*(6*j + 1)/2
Let n(t) be the second derivative of -23/4*t**4 + 6*t**2 - 7/2*t**7 + t + 8*t**3 + 119/10*t**6 - 201/20*t**5 + 0. Factor n(s).
-3*(s - 1)**3*(7*s + 2)**2
Let u(d) be the third derivative of 0 + 0*d**6 - 3*d**2 - 1/24*d**4 + 1/105*d**7 + 1/336*d**8 + 0*d + 0*d**3 - 1/30*d**5. Solve u(o) = 0.
-1, 0, 1
Let d be (-1)/(-1)*(1 + 1). What is h in -2*h - 2*h**2 + h**2 + h**2 - 2*h**d = 0?
-1, 0
Let r = 27 + 1. Let g = -1 + 4. Factor 4*v**2 - g - 1 + 18*v - r*v**2 + 10*v**3.
2*(v - 1)**2*(5*v - 2)
Let i(u) be the second derivative of -1/10*u**6 - 3/10*u**5 + 0*u**2 + 0 + 0*u**3 - u - 1/4*u**4. Factor i(z).
-3*z**2*(z + 1)**2
Suppose -i + 3*f = -0*f - 8, 4*i - 14 = 3*f. Factor -3/4*h**4 + 0*h + 3/4*h**i + 0*h**3 + 0.
-3*h**2*(h - 1)*(h + 1)/4
Factor y + 5/7*y**2 + 2/7.
(y + 1)*(5*y + 2)/7
Let a be 1/1 - (-10)/(-20). Let -a*p**4 + 0*p + p**3 + 0 - 1/2*p**2 = 0. What is p?
0, 1
Suppose x = r - 3*x + 14, 0 = 3*r - 5*x + 14. Factor -9*o**3 - 3*o - 5*o**2 + 3*o**4 + 8*o**r + 6*o**2 + 0*o**4.
3*o*(o - 1)**3
Let n(v) = 80*v - 240. Let r be n(3). Factor r - u + 1/4*u**4 + 2*u**2 - 5/4*u**3.
u*(u - 2)**2*(u - 1)/4
Let s(w) be the first derivative of 1/15*w**3 + 1/20*w**4 + 3 + 0*w**2 + 0*w - 1/30*w**6 - 1/25*w**5. Let s(h)