i + b*i**2 = 0.
-1, 0
Let q(b) be the first derivative of -b**6/15 - b**5/5 - b**4/6 - 3*b - 1. Let r(a) be the first derivative of q(a). Find h, given that r(h) = 0.
-1, 0
Suppose 3*u = 8*u. Suppose u*f + 12 = 4*f. Factor 0*a**2 - 1/2*a**4 + 0 + 0*a + 1/2*a**f.
-a**3*(a - 1)/2
Solve 7*z**2 + 8*z + 45*z**2 - 12*z - 48*z**3 = 0 for z.
0, 1/12, 1
Let j be (2/3)/((-14)/(-12)). Determine m so that -j*m - 6/7*m**2 + 0 + 6/7*m**5 + 6/7*m**3 + 2*m**4 = 0.
-1, 0, 2/3
Let b(d) be the first derivative of -3*d**4/28 - 3*d**3/7 - 3*d**2/7 - 6. Factor b(y).
-3*y*(y + 1)*(y + 2)/7
Let f(x) be the second derivative of 0*x**2 + x + 0 + 1/10*x**5 + 0*x**3 + 0*x**4 - 1/15*x**6. Factor f(o).
-2*o**3*(o - 1)
Let o = 1 + -2. Let q = o - -3. Factor -4*i**4 - 2*i**5 + 4*i**q - 3*i**2 + 3*i**2 + 2*i.
-2*i*(i - 1)*(i + 1)**3
Let b be 9/(-15) - (5 - (14 - 6)). Let b*n - 18/5 - 2/5*n**2 = 0. What is n?
3
Let u(t) = -t**2 + t - 24. Let v be u(0). Let i be 66/v + 1 + 2. Let 0*d - 1/4*d**2 + i = 0. Calculate d.
-1, 1
Let a = 6 - 4. Let r be (-4)/(0 - 0 - a). Solve 4*n**2 + n**3 - r*n**3 + 2*n + 3*n**3 = 0.
-1, 0
Let b = 415966/75 - 5546. Let z(o) be the second derivative of -4/25*o**5 + 0*o**3 + 0*o**2 + 0 + b*o**6 + 1/30*o**4 + o. Solve z(d) = 0.
0, 1/4
Let w be (-2 - -1)*(0 - -4). Let j be (8/10)/(w/(-10)). Factor -3*b + 3*b**4 - 3*b**2 - 3*b**3 - 5*b**3 + 9*b + j*b**3.
3*b*(b - 2)*(b - 1)*(b + 1)
Suppose 0 = -3*n - 5*h + 19, 7 = n - h + 3*h. Let p(u) be the first derivative of 0*u**n + 0*u + 0*u**2 - 1/10*u**5 + 1 - 1/8*u**4. Suppose p(l) = 0. What is l?
-1, 0
Let l(o) = -21*o**4 + 71*o**3 - 14*o**2 - 6*o - 6. Let q(x) = 43*x**4 - 143*x**3 + 27*x**2 + 13*x + 13. Let p(i) = -13*l(i) - 6*q(i). Factor p(r).
5*r**2*(r - 4)*(3*r - 1)
Let o = -12293/2860 + 284/55. Let z = -8/13 + o. What is k in -1/4 + 1/2*k - z*k**2 = 0?
1
Let i(s) be the first derivative of 4*s**3/9 + 10*s**2/3 + 16*s/3 - 14. Factor i(z).
4*(z + 1)*(z + 4)/3
Let z = 42 + -36. Let f(s) be the first derivative of 7/3*s**z + 28/3*s**3 - 1 + 2*s**4 - 32/5*s**5 + 4*s - 11*s**2. Suppose f(n) = 0. What is n?
-1, 2/7, 1
Let c(b) be the first derivative of b**5/25 - b**4/20 - b**3/5 + b**2/2 - 2*b/5 + 5. Factor c(s).
(s - 1)**3*(s + 2)/5
Factor 1/8 - 1/8*c**2 + 1/8*c**3 - 1/8*c.
(c - 1)**2*(c + 1)/8
Let i(x) be the second derivative of -25*x**4/12 - 5*x**3/3 + 3*x. Factor i(u).
-5*u*(5*u + 2)
Suppose 0 = 35*l - 42*l. Factor 1/7*q**3 - 1/7*q**4 + 0*q + 0*q**2 + l.
-q**3*(q - 1)/7
Let q = -22 - -42. Suppose -5*f + q = -0*f. Factor 0 - 1/4*w**f - 3/4*w**3 - 3/4*w**2 - 1/4*w.
-w*(w + 1)**3/4
Let c = 15 - 13. Let m(x) = 2*x - 1. Let w be m(3). Suppose -3*r**3 - 6*r**3 + r**2 + 2*r**c + 9*r**4 - 3*r**w = 0. What is r?
0, 1
Let b = -523/1908 + 16/53. Let c(s) be the third derivative of 0 + 1/45*s**5 + 0*s**3 + 0*s + s**2 - 1/180*s**6 - b*s**4. Factor c(q).
-2*q*(q - 1)**2/3
Let x(k) be the first derivative of 0*k**3 + 0*k**2 + k + 0*k**6 + 1/42*k**7 + 3 + 0*k**5 + 0*k**4. Let s(a) be the first derivative of x(a). Factor s(z).
z**5
Let m be (-4)/(-12) - (-16)/6. Suppose m = 5*r - 7. What is b in -4/5*b + 2/5*b**3 + 0 + 2/5*b**5 - 6/5*b**4 + 6/5*b**r = 0?
-1, 0, 1, 2
Let d(y) = 3*y**3 + 7*y**2 - 10*y - 2. Let f(l) = l**3 - l**2 + l - 1. Let m(b) = -d(b) + 6*f(b). Factor m(v).
(v - 2)**2*(3*v - 1)
Suppose -3*h - 20 = -2*p, -4*h + 9 - 37 = -3*p. Factor -s**3 + 0*s**3 + 3*s**p - 2*s**4.
s**3*(s - 1)
Let z = -43/6 + 239/30. What is d in -2/5*d**2 + z*d + 0 = 0?
0, 2
Let z(w) be the first derivative of w**3 + 3*w**2 - 6*w - 1. Let t(c) = 5*c**2 + 11*c - 11. Let m(r) = 6*t(r) - 11*z(r). Factor m(s).
-3*s**2
Let k(y) be the third derivative of -y**6/30 - 4*y**5/45 - y**4/18 + 9*y**2. What is h in k(h) = 0?
-1, -1/3, 0
Let n(b) be the third derivative of b**5/270 - b**4/108 - 8*b**2. Factor n(w).
2*w*(w - 1)/9
Let c(z) be the third derivative of -1/240*z**5 + 3*z**2 - 3/8*z**3 + 0*z + 0 - 1/16*z**4. Factor c(b).
-(b + 3)**2/4
Let h(i) = 8*i**4 + 6*i**3 - 2*i**2 - 5*i + 5. Let a(s) = 33*s**4 + 24*s**3 - 9*s**2 - 21*s + 21. Let r(c) = 5*a(c) - 21*h(c). Solve r(z) = 0 for z.
-1, 0
Let 42*h**2 - 6*h**2 + 16*h + 7*h**3 + 4*h**3 + 3*h**4 - 2*h**4 - 64 = 0. What is h?
-4, 1
Let y = 22 + -14. Factor m**2 + 2*m + y - 10 - m.
(m - 1)*(m + 2)
Factor 0*y - 1/5*y**2 + 0 - 1/5*y**3 + 1/5*y**5 + 1/5*y**4.
y**2*(y - 1)*(y + 1)**2/5
Factor -2/17*b**3 - 6/17*b - 6/17*b**2 - 2/17.
-2*(b + 1)**3/17
Let v(i) be the second derivative of -i**5/5 - 3*i**4 - 18*i**3 - 54*i**2 - 2*i. Let v(a) = 0. What is a?
-3
Let o(i) be the second derivative of 3*i**5/20 - 2*i**3 - 7*i. Factor o(t).
3*t*(t - 2)*(t + 2)
Solve -20/7*s**3 - 8/7 - 36/7*s**2 - 4*s - 4/7*s**4 = 0.
-2, -1
Let x(o) be the first derivative of 2/9*o**2 + 0*o + 2/27*o**3 - 6. Factor x(a).
2*a*(a + 2)/9
Let q = -6 + 8. Let w be (-56)/(-10) + (-8)/(-20). Factor -6*j**4 + 4*j**q + w*j**3 + j**5 - 6*j**2 + j**5.
2*j**2*(j - 1)**3
Let d(f) = 6*f + 50. Let h be d(-8). Factor 256/5*k**4 - 256/5*k**3 + 96/5*k**h - 16/5*k + 1/5.
(4*k - 1)**4/5
Let l(x) be the second derivative of x**4/24 - 7*x**3/36 + x**2/6 + 12*x. Factor l(k).
(k - 2)*(3*k - 1)/6
Let x = 14 - 9. Factor 0*c - 6*c**3 + x*c**2 - 2*c + 3*c**3.
-c*(c - 1)*(3*c - 2)
Let g(p) = -9*p**3 + 9*p - 5. Let s(f) = -22*f**3 + 22*f - 12. Let n(c) = -12*g(c) + 5*s(c). Find m such that n(m) = 0.
-1, 0, 1
Let z = -296 - -298. What is j in -4/5 + 0*j - 18/5*j**3 + 17/5*j**z + j**4 = 0?
-2/5, 1, 2
Suppose -2*m + 5*m = -24. Let b be (m/(-6))/((-3)/(-9)). Factor 3*z**3 + 0*z**2 + z**4 - z**2 - b*z**3 + z**5.
z**2*(z - 1)*(z + 1)**2
Let w(c) be the second derivative of -c**6/180 + c**5/15 - c**4/3 - c**3/3 + c. Let a(g) be the second derivative of w(g). Let a(x) = 0. What is x?
2
Let p(s) = -5*s**2. Let a(r) = 39*r**2. Let n(c) = -5*a(c) - 40*p(c). Factor n(k).
5*k**2
Let z = 50 - 28. Factor z*h**2 - 3*h**4 + 7*h**4 - 6 - 18*h**3 - 2.
2*(h - 2)**2*(h - 1)*(2*h + 1)
Factor 0*q**2 + 0 + 2/7*q**4 + 0*q + 0*q**3 + 2/7*q**5.
2*q**4*(q + 1)/7
Let v(m) be the first derivative of 1/36*m**4 + m + 1/18*m**3 + 0*m**2 + 2. Let j(p) be the first derivative of v(p). Suppose j(l) = 0. What is l?
-1, 0
Let l be 1 - 5*2/15. Let j(u) be the first derivative of -4 - l*u**3 + u - 4/3*u**2. Factor j(g).
-(g + 3)*(3*g - 1)/3
Find v, given that 1/2*v + 5*v**2 - 5*v**4 + 12*v**3 - 25/2*v**5 + 0 = 0.
-1, -1/5, 0, 1
Let i = 4/137 + 117/685. Factor -1/5*m**3 + i*m - 2/5 + 3/5*m**2 - 1/5*m**4.
-(m - 1)**2*(m + 1)*(m + 2)/5
Let z(j) be the third derivative of -2*j**2 + 0*j + 1/108*j**4 + 0 + 0*j**3 - 1/270*j**5. Factor z(r).
-2*r*(r - 1)/9
Let m(d) be the third derivative of -d**5/300 - 7*d**4/60 - 49*d**3/30 - 24*d**2. Factor m(u).
-(u + 7)**2/5
Let v = 11 - 5. Let y be 4/v + 10/3. Factor 4*d**3 - 3*d**4 - 6*d**3 + 2*d**y.
-d**3*(d + 2)
Factor 10/17*k**3 + 8/17*k**4 + 0 + 0*k + 4/17*k**2 + 2/17*k**5.
2*k**2*(k + 1)**2*(k + 2)/17
Let h(r) = -r**2. Let t(d) = 2 - 10*d**4 + 12*d**4 + 9*d**3 - d**3 + 6*d**2 + 8*d. Let a(x) = -6*h(x) + t(x). Factor a(m).
2*(m + 1)**4
Factor 0 - 2/3*f - 24*f**3 - 8*f**2.
-2*f*(6*f + 1)**2/3
Suppose 0 = 3*t - 6*t + 15. Let v = 16 - 14. Suppose -z**3 - v - 1 + 0*z - z**2 + t*z = 0. Calculate z.
-3, 1
Let z(p) be the third derivative of p**8/588 + 4*p**7/735 + p**6/210 + 7*p**2. Let z(t) = 0. What is t?
-1, 0
Suppose 0 = d - q - 4, 5*q + 2 + 0 = -d. Solve 6*y**3 + 1 + 8*y**4 + 4*y**d - 6*y**2 - 10*y - 3 + 0*y**4 = 0 for y.
-1, -1/4, 1
Let u(q) be the first derivative of -5*q**4/4 + 5*q**3 - 20*q - 10. Solve u(o) = 0.
-1, 2
Suppose 1/4*j**2 - 1/4*j**5 - 7/4*j**3 + 2*j - 5/4*j**4 + 1 = 0. Calculate j.
-2, -1, 1
Let i = -1487088/349 + 4261. Let l = 2795/1047 - i. Suppose -14/3*z - 32/3*z**4 - l*z**5 - 2/3 - 50/3*z**3 - 38/3*z**2 = 0. What is z?
-1, -1/2
Let u(x) be the third derivative of 0 + 1/300*x**5 + 1/40*x**4 - x**2 + 0*x + 1/15*x**3. Factor u(j).
(j + 1)*(j + 2)/5
Solve -3/8*v**3 - 1/4*v + 0 - 5/8*v**2 = 0.
-1, -2/3, 0
Let a be 16/15*3/2. What is d in 0 - 4/5*d - 2/5*d**2 + a*d**3 + 6/5*d**4 = 0?
-1, 0, 2/3
Let m(q) be the second derivative of -q**6/660 + 2*q**5/165 - 5*q**4/132 + 2*q**3/33 + 7*q**2/2 + 4*q. Let l(z) be the first derivative of m(z). Factor l(x).
-2*(x - 2)*(x - 1)**2/11
Let k(o) be the third derivative of -o**8/2016 - o**7/420 - o**6/360 + 