 - 2*k**4 = 0.
-1, 0, 1
Let o = 13 + -9. Suppose 0*k - o*k = -l - 27, -5*k + 25 = -3*l. What is j in 0*j**3 - k - 10*j**2 - 2*j**3 - 16*j + 0*j**3 = 0?
-2, -1
Let f(c) = -c + 16. Let q be f(11). Let m(n) = 6*n**2 + 6*n - 17. Let d(t) = 9*t**2 + 9*t - 26. Let o(s) = q*d(s) - 8*m(s). Solve o(p) = 0 for p.
-2, 1
Let i(m) = -10*m**2 - 5*m + 5. Let u(p) = 5*p**2 + 2*p - 3. Let v(q) = -3*i(q) - 5*u(q). Factor v(c).
5*c*(c + 1)
Let n be -5 + 1 + 117/26. Let g be 2/1 + 3 + -2. Factor 1/2*l**g + 1/2 - n*l - 1/2*l**2.
(l - 1)**2*(l + 1)/2
Let z be (0/2)/(0 - -1). Let o(h) be the first derivative of -1 + z*h + 0*h**2 + 0*h**4 - 1/12*h**3 + 1/20*h**5. Solve o(g) = 0 for g.
-1, 0, 1
Let s = 96 - 53. Let n = s - 127/3. Solve 1/3*y - 1/3*y**5 + 0 - 2/3*y**4 + n*y**2 + 0*y**3 = 0 for y.
-1, 0, 1
Let v(p) = -9 + 2*p**3 + 6*p**2 + 5*p - p**3 + 8 + 0*p**3. Let n be v(-4). Factor -2*x**2 + 2*x - 3*x + 10*x**3 - n*x**3.
-x*(x + 1)**2
Let f(b) be the first derivative of 2*b**2 - 2 + 2*b + 2/3*b**3. Find a such that f(a) = 0.
-1
Let c = 6 - 2. Suppose -10 + 2 = -c*h + 2*n, -h = -5*n + 16. Suppose -d**3 - 14*d**2 - 4*d + d**3 - 10*d**h - 2*d**5 - 18*d**3 = 0. What is d?
-2, -1, 0
Let j(i) be the first derivative of i**9/6048 - i**8/3360 - i**7/1680 + i**6/720 + 8*i**3/3 + 1. Let p(u) be the third derivative of j(u). Factor p(q).
q**2*(q - 1)**2*(q + 1)/2
Let a(u) be the first derivative of -u**4 + 2*u**2 + 18. Determine s, given that a(s) = 0.
-1, 0, 1
Let u(a) be the third derivative of -1/3*a**6 + 2*a**2 - 8/105*a**7 - 3/20*a**5 + 0 + 13/24*a**4 - 1/3*a**3 + 0*a. Determine w, given that u(w) = 0.
-2, -1, 1/4
Let j be ((-204)/850)/(9/(-15)). Factor -1/5*q**4 + 1/5*q**2 - j*q + 0 + 2/5*q**3.
-q*(q - 2)*(q - 1)*(q + 1)/5
Let l(p) be the third derivative of 0*p + 3*p**2 + 0*p**3 + 0 + 1/60*p**6 + 1/12*p**4 + 1/15*p**5. Factor l(x).
2*x*(x + 1)**2
Let f(g) be the first derivative of 48*g**5/5 + 6*g**4 - 103*g**3 + 147*g**2/2 - 18*g + 33. Factor f(a).
3*(a - 2)*(a + 3)*(4*a - 1)**2
Let t(z) be the first derivative of 0*z + 0*z**2 + 2 + 1/144*z**4 + 1/360*z**5 + 1/2160*z**6 + 1/3*z**3. Let q(f) be the third derivative of t(f). Factor q(h).
(h + 1)**2/6
Factor 1/2*r - 1 + 1/4*r**2 - 1/8*r**3.
-(r - 2)**2*(r + 2)/8
Let u(m) = -m - 14. Let i be u(-11). Let h be 3 + 0/(i - 1). Factor 0 + 2/3*v**h - 1/3*v**4 - 1/3*v**2 + 0*v.
-v**2*(v - 1)**2/3
Let 1 + 0 - 2*d**3 + 12*d**2 - 2*d**3 + 3 - 12*d = 0. Calculate d.
1
Solve -2/3*x**4 + 2*x**2 + 0*x**3 + 0 + 4/3*x = 0 for x.
-1, 0, 2
Let u(z) = -z**3 + 11*z**2 - 9*z - 8. Let y be u(10). Factor 12*k + 18*k**2 - 21*k**y - 7 - 5.
-3*(k - 2)**2
Let o(u) = -5*u**2 - 3*u - 3. Let h(t) = 2*t**2 + 0*t**2 + 0*t + 2*t**2 + 2 + 2*t. Let v(m) = 3*h(m) + 2*o(m). Factor v(w).
2*w**2
Let g be 4/(3/(3/2)). Let j be (20/(-4))/5 - -3. Find i such that -2*i**3 - 2*i**j - 3*i**2 + i**2 + g*i**2 + 2 + 2*i = 0.
-1, 1
Let r(k) be the third derivative of -1/60*k**5 - 1/210*k**7 - k**2 + 0*k**4 + 0*k**3 + 1/60*k**6 + 0 + 0*k. What is u in r(u) = 0?
0, 1
Let u(b) = -54*b**2 - 120*b - 19. Let t(z) = 27*z**2 + 60*z + 10. Let h be ((-4)/(-3))/(4/6). Let r(o) = h*u(o) + 5*t(o). Factor r(j).
3*(j + 2)*(9*j + 2)
Let i be (-1)/2 - (-20924)/40. Let z = i - 521. What is f in -6/5*f**3 + z*f**4 + 0 - 8/5*f**2 + 8/5*f**5 - 2/5*f = 0?
-1, -1/2, 0, 1
Let z(u) = 12*u**4 + 40*u**3 + 12*u**2 + 16*u. Let l(m) = -4*m**4 - 13*m**3 - 4*m**2 - 5*m. Let i(x) = -16*l(x) - 5*z(x). Solve i(s) = 0.
-1, 0
Let q(v) be the second derivative of -v**6/15 + v**4/6 - 2*v + 36. What is n in q(n) = 0?
-1, 0, 1
Factor -1/8*m**3 + 1/8*m + 1/8*m**2 - 1/8.
-(m - 1)**2*(m + 1)/8
Suppose 8 + 3*k + 3*k - 2*k**2 - 12 = 0. Calculate k.
1, 2
Let r = -53 - -53. What is g in 3/5*g**2 + r + 3/5*g = 0?
-1, 0
Let s(w) be the third derivative of -1/8*w**4 + 0*w**3 + 3/10*w**5 + 0 + 0*w + 2*w**2 + 1/7*w**7 - 3/10*w**6 - 3/112*w**8. Let s(q) = 0. Calculate q.
0, 1/3, 1
Let x(t) be the first derivative of -1/2*t**2 + 0*t + 0*t**4 + 0*t**3 - 1/120*t**5 + 1/240*t**6 + 1. Let w(p) be the second derivative of x(p). Factor w(z).
z**2*(z - 1)/2
Let c(x) = 2*x**3 - 36*x**2 + 110*x - 106. Let a(n) = -7*n**3 + 144*n**2 - 441*n + 423. Let z(y) = 2*a(y) + 9*c(y). Factor z(b).
4*(b - 3)**3
Let n(w) be the first derivative of w**5/120 + w**4/48 - w**3/6 - w**2/2 - 2. Let s(u) be the second derivative of n(u). Factor s(x).
(x - 1)*(x + 2)/2
Let y(d) = d**3 + 7*d**2 + 4. Let j = 8 + -15. Let n be y(j). Factor 3*a + 3*a**2 - 2*a - n*a**2.
-a*(a - 1)
Suppose -1 = -2*s + 1. Let b(g) be the first derivative of s + 8/15*g**3 - g**2 + 2/5*g. Suppose b(u) = 0. What is u?
1/4, 1
Let t = 18 + -18. Find x, given that t - 3*x**4 - 1/3*x + 5/3*x**2 - x**3 = 0.
-1, 0, 1/3
Let p = 33781 - 303028/9. Let a = p - 111. Factor 0*k**3 - 2/9*k**4 + a*k**2 + 0 + 0*k.
-2*k**2*(k - 1)*(k + 1)/9
Let a(p) be the third derivative of 13/315*p**7 + p**2 + 1/5*p**5 + 7/36*p**4 + 1/9*p**3 + 0 + 1/168*p**8 + 0*p + 11/90*p**6. Factor a(i).
2*(i + 1)**4*(3*i + 1)/3
Let m(c) be the second derivative of -c**5/20 + 7*c**4/12 - 4*c**3/3 - 8*c**2 + 17*c. Factor m(d).
-(d - 4)**2*(d + 1)
Let s(x) = -4*x**3 + 6*x**2 + 2. Let g(w) = w**3 + w. Let n be (-4)/(-1) - (-1)/(-1). Suppose n*v + 1 = -5, -t - 4 = 5*v. Let z(f) = t*g(f) + s(f). Factor z(u).
2*(u + 1)**3
Let o be (-6)/(-6) + (-6)/(-2). Suppose 0 = -3*f + 5*l + o - 3, f + 4*l = 6. Factor 1/3*p**f - 1/3*p + 0.
p*(p - 1)/3
Find p such that -1/3*p**4 + 2/3*p**2 - 1/3 + 0*p**3 + 0*p = 0.
-1, 1
Let x(z) be the first derivative of -2/21*z**3 + 0*z**2 + 1 + 2/7*z. Factor x(b).
-2*(b - 1)*(b + 1)/7
Let t(q) = -q**3 + q**2 + 5*q - 1. Let r(d) = 3*d**3 - 2*d**2 - 14*d + 2. Let f(i) = -4*r(i) - 11*t(i). Solve f(m) = 0.
-3, -1, 1
Let o = 84 - 82. Factor 4/13*a + 0 + 2/13*a**o.
2*a*(a + 2)/13
Let m be (3 - (1 - -2))*-1. Determine u, given that m + 1 - u**2 - 2 + 2*u**2 = 0.
-1, 1
Let w be 2/(-14) + 154/49. Factor 3*p - p**2 + p + 0*p**2 - w*p + 2.
-(p - 2)*(p + 1)
Let m(u) be the first derivative of u**8/5040 - u**6/1080 - 8*u**3/3 - 1. Let s(o) be the third derivative of m(o). Factor s(t).
t**2*(t - 1)*(t + 1)/3
Factor -l**3 - l + 3*l - 3*l**2 - 375*l**4 + 378*l**4 - l**5.
-l*(l - 2)*(l - 1)**2*(l + 1)
Let b(p) be the first derivative of -6*p - 4 - 3*p**4 + 0*p**5 + 1/2*p**6 + 9/2*p**2 + 2*p**3. Factor b(n).
3*(n - 1)**3*(n + 1)*(n + 2)
Let m(u) = -2*u**4 + 2*u**3 + 6*u**2 - 2*u - 2. Let w(p) = 3*p**4 - 3*p**3 - 13*p**2 + 3*p + 5. Let t(q) = 5*m(q) + 2*w(q). Factor t(g).
-4*g*(g - 1)**2*(g + 1)
Let m = 366 - 366. Let -1/5*y**2 + m*y + 0 = 0. What is y?
0
Suppose -10*q - 5 + 25 = 0. Let m(c) be the second derivative of q*c + 0 + 1/3*c**4 - 2*c**2 + 1/3*c**3 - 1/10*c**5. Suppose m(p) = 0. Calculate p.
-1, 1, 2
Let s be (-20)/(-110) + 19/(-165). Let n(m) be the second derivative of 3*m + 1/63*m**7 + s*m**5 + 0*m**2 - 1/27*m**3 + 0*m**4 - 8/135*m**6 + 0. Factor n(k).
2*k*(k - 1)**3*(3*k + 1)/9
Let m = 0 + 10/7. Factor -2/7*s**4 - 2/7*s**3 + m*s + 6/7*s**2 + 4/7.
-2*(s - 2)*(s + 1)**3/7
Let b(t) be the second derivative of -t**5/180 + t**4/18 - 2*t**3/9 + 5*t**2/2 - 5*t. Let n(p) be the first derivative of b(p). Suppose n(h) = 0. Calculate h.
2
Suppose 3*y = l - 21, y + 0 = 3*l - 15. Let m be -1*4/42*y. Solve 2/7 + 2/7*h**4 - 4/7*h**2 + 2/7*h**5 + 2/7*h - m*h**3 = 0.
-1, 1
Let m = 10 + -7. Suppose -t**2 - 3*t + t + m*t = 0. What is t?
0, 1
Let l(g) be the third derivative of 0*g**5 + 0*g + 6*g**2 + 0*g**7 + 0 + 1/300*g**6 - 1/840*g**8 + 0*g**4 + 0*g**3. Factor l(r).
-2*r**3*(r - 1)*(r + 1)/5
Factor 0 + 6/17*w - 2/17*w**2.
-2*w*(w - 3)/17
Let x(f) be the third derivative of -f**7/140 - f**6/20 - 3*f**5/20 - f**4/4 - f**3/4 - 22*f**2. Determine l, given that x(l) = 0.
-1
Let i = 55 + -81. Let s be (i/(-8) + -3)*1. Factor 1/2*f**3 - 1/4*f + 1/2*f**2 - 1/4*f**4 - s - 1/4*f**5.
-(f - 1)**2*(f + 1)**3/4
Let o(k) = -3*k**3 - 18*k**2 - 63*k - 3. Let f(g) = g**3 + g**2 + g + 1. Let r(z) = 15*f(z) + o(z). Factor r(i).
3*(i - 2)*(i + 2)*(4*i - 1)
Factor y**4 - 22*y**3 - 6*y**4 + 62*y**3 - 25*y**3 - 15*y**2 + 5*y.
-5*y*(y - 1)**3
Let k(w) = 2*w**3 + 4*w**2 + w - 7. Let q(l) = -6*l**3 - 12*l**2 - 4*l + 22. Let o(i) = -10*k(i) - 3*q(i). Factor o(f).
-2*(f - 1)*(f + 1)*(f + 2)
Let r(t) be the second derivative of 1/21*t**7 + 0*t**4 + 0*t**