0 - -8). Factor -2/3*l - 2/3*l**2 - q*l**3 + 0.
-l*(l + 2)**2/6
Suppose 140*i - 186 = 47*i. Let n + 2/3 - i*n**3 - 5/3*n**2 = 0. Calculate n.
-1, -1/2, 2/3
Let g be -2 + 793/65 - (6 + 0). Factor 3/5*q**2 - g*q + 18/5.
3*(q - 6)*(q - 1)/5
Let u = 99 + -99. Suppose 3*s + 5*d - 15 = u, 11*d - 9*d - 6 = -5*s. Suppose 0*j - 3/2*j**5 + 15/2*j**4 - 12*j**3 + 6*j**2 + s = 0. What is j?
0, 1, 2
Let o(n) be the third derivative of n**6/30 - 7*n**5/15 + 7*n**4/3 - 16*n**3/3 + n**2 + 29*n. Let o(i) = 0. What is i?
1, 2, 4
Let x(b) be the second derivative of 21*b**5/20 - b**4/2 - 6*b. Factor x(h).
3*h**2*(7*h - 2)
Find o such that -38/9*o + 40/9*o**2 + 2/9*o**5 + 4/3 - 4/3*o**3 - 4/9*o**4 = 0.
-3, 1, 2
Suppose -82 = -4*q + 14. Suppose -28*f + 3*f**2 + q*f - 11*f = 0. Calculate f.
0, 5
Suppose -5*r + 3*z = -304, 287 + 21 = 5*r - z. Factor -6*o - r*o**2 + o + 57*o**2.
-5*o*(o + 1)
Let s(x) = x**4 + x**3 - 9*x**2 - x + 11. Let a(d) = -d**4 - d**3 + 8*d**2 + 2*d - 10. Let j(h) = -3*a(h) - 2*s(h). Let j(m) = 0. Calculate m.
-2, 1, 2
What is c in 15 - 111*c**2 - 3*c**4 - 11 + 135*c - 58 + 33*c**3 = 0?
1, 3, 6
Let q = 364 + -360. Let x(v) be the first derivative of 0*v + 5*v**3 - 3*v**4 - 3*v**2 + q + 3/5*v**5. Suppose x(j) = 0. Calculate j.
0, 1, 2
Let t(h) be the third derivative of -3*h**5/5 + 7*h**4/3 + 16*h**3/3 - 438*h**2. Factor t(d).
-4*(d - 2)*(9*d + 4)
Let u(j) be the second derivative of -1/21*j**4 - 15*j + 2/21*j**3 + 4/7*j**2 + 0. Determine m, given that u(m) = 0.
-1, 2
Let a(l) be the second derivative of -l**5/40 - l**4/16 + 7*l**2 + 10*l. Let c(x) be the first derivative of a(x). Solve c(j) = 0.
-1, 0
Let b = 13517 + -13515. What is c in -2/7*c**4 - 4/7*c**b + 0 + 0*c - 6/7*c**3 = 0?
-2, -1, 0
Let m(h) = 17 + h**3 + 7*h**3 - h**3 - 5*h**4 - 5*h**2. Let j(y) = 2*y**4 - 2*y**3 + 2*y**2 - 6. Let b(d) = -17*j(d) - 6*m(d). Factor b(n).
-4*n**2*(n + 1)**2
Let j(t) be the first derivative of 26 - 1/9*t**2 - 1/9*t - 1/27*t**3. Determine m so that j(m) = 0.
-1
Factor -1/5*z + 1/5*z**3 + 1/5 - 1/5*z**2.
(z - 1)**2*(z + 1)/5
Let i(r) be the third derivative of 1/24*r**3 + 0*r**6 + 0*r + 1/840*r**7 - 1/120*r**5 - 14*r**2 + 0 + 0*r**4. Factor i(j).
(j - 1)**2*(j + 1)**2/4
Suppose 3*o - 10 = -2*g, 5*o - 68 = -g - 56. Factor -1/7*w - 2/7*w**g - 1/7*w**3 + 0.
-w*(w + 1)**2/7
What is r in -4172 + r**2 - 13*r + 4253 - 4*r**2 - r - 4*r = 0?
-9, 3
Let t be (-3 - -3) + -30*5/(-125). Find k, given that -k**5 + 0 + 0*k**2 + t*k**3 - 13/5*k**4 + 0*k = 0.
-3, 0, 2/5
Let q = 4 + 4. Let o(p) = -2*p - 11 + q*p**2 - 2*p**2 + 20*p**2 - 3*p. Let h(r) = 9*r**2 - 2*r - 4. Let t(d) = 11*h(d) - 4*o(d). Factor t(i).
-i*(5*i + 2)
Let r(q) = -6*q**2 + 2*q + 18. Let t(d) = -9*d**2 - 7*d**2 + 3*d**2 + 5*d + 37. Let k(o) = 5*r(o) - 2*t(o). Find y, given that k(y) = 0.
-2, 2
Let r(s) = -s**2 + 38*s - 126. Let o(n) = 36*n - 128. Let w(t) = -3*o(t) + 4*r(t). Suppose w(f) = 0. What is f?
5, 6
Let k(z) be the third derivative of -z**6/20 - 2*z**5/15 + 5*z**4/12 + 2*z**3/3 - 87*z**2. What is n in k(n) = 0?
-2, -1/3, 1
Let h(r) = r**4 + r**3 - r**2 + r + 1. Let p(x) = 5*x**5 + 15*x**4 + 40*x**3 + 25*x**2 - 75*x - 55. Let n(m) = -15*h(m) - p(m). Factor n(s).
-5*(s - 1)*(s + 1)*(s + 2)**3
Let x(y) be the first derivative of 11 + 20*y + 5/3*y**3 + 10*y**2. Factor x(d).
5*(d + 2)**2
Let y be (-36)/(-24)*(-8)/(-6). Let z(k) be the second derivative of 0*k**3 + y*k + 0 - 1/15*k**4 + 0*k**2. Factor z(p).
-4*p**2/5
Let q(g) be the second derivative of g**5/100 + 119*g**4/30 + 14161*g**3/30 - 201*g. Suppose q(r) = 0. Calculate r.
-119, 0
Let n(w) be the first derivative of -w**4/2 - 32*w**3/3 - 52*w**2 - 96*w + 9. Suppose n(q) = 0. Calculate q.
-12, -2
Suppose p + 26*l - 6 = 27*l, 0 = -3*p - 4*l - 10. Let h(m) be the first derivative of -2*m**3 - 8 - 63/32*m**4 - 27/40*m**5 + 0*m - 3/4*m**p. Factor h(u).
-3*u*(u + 1)*(3*u + 2)**2/8
Let i(q) be the first derivative of q**3/3 - 3*q**2/2 - 10*q + 41. Find o, given that i(o) = 0.
-2, 5
Let f(c) = c**3 + c + 1. Let q(u) = 4*u**3 + 8*u + 7. Suppose -5*t = -2*a + 2, t + 5 = 5*a + 6*t. Let y(k) = a*q(k) - 5*f(k). Factor y(d).
-(d - 2)*(d + 1)**2
Let l(d) be the third derivative of d**8/336 - d**6/30 + d**5/30 + d**4/8 - d**3/3 - 93*d**2. Determine r, given that l(r) = 0.
-2, -1, 1
Solve -5/2 + 5/6*y**2 - 5/3*y = 0.
-1, 3
Find i such that -18*i**3 - 24*i - 17510*i**2 + 4*i**4 - i**4 + 17546*i**2 = 0.
0, 2
Let h be 28/24*(-11)/((-462)/24). Factor h*u**3 + 8/3*u**2 + 10/3*u + 4/3.
2*(u + 1)**2*(u + 2)/3
Factor 1/2*t**5 + 0*t + 0*t**3 + 0*t**2 + 0 + 1/2*t**4.
t**4*(t + 1)/2
Let h be 2 + (-12)/3 - (-3 - 1). Suppose -3*s = 5*t + 1 + 1, 0 = h*s + 8. Factor -3/2*l**t + 0 - 3*l.
-3*l*(l + 2)/2
Let v(q) be the first derivative of 4*q + 0*q**2 - 7/3*q**3 - 1/4*q**4 + 1/6*q**6 + 17 + 3/5*q**5. Solve v(b) = 0.
-2, -1, 1
Factor 3 + 122*y - 2*y**3 + 16*y**2 + 21 + 44 + 36.
-2*(y - 13)*(y + 1)*(y + 4)
Factor 18*a + 3*a**2 + 5*a + 7*a.
3*a*(a + 10)
Let u be (-1 - (-5)/9) + -39 + (-11814)/(-297). Factor -u + 2/3*n**2 + 0*n + 0*n**3 - 1/3*n**4.
-(n - 1)**2*(n + 1)**2/3
Suppose -52 = 97*n - 110*n. Let q(a) be the third derivative of -1/210*a**6 + 0 + 5*a**2 + 1/105*a**5 + 1/21*a**n + 0*a**3 + 0*a. Factor q(j).
-4*j*(j - 2)*(j + 1)/7
Let s = -38 - -45. Let l(r) be the third derivative of -7/180*r**5 + r**2 - 1/45*r**6 - 1/210*r**s + 0*r + 0*r**3 - 1/36*r**4 + 0. Factor l(n).
-n*(n + 1)**2*(3*n + 2)/3
Let r(y) be the third derivative of -2*y**7/105 - 3*y**6/10 - 9*y**5/5 - 9*y**4/2 - 5*y**2 + 38*y. Factor r(k).
-4*k*(k + 3)**3
Let u(x) be the first derivative of 0*x - 33 + 52/15*x**3 - 6/5*x**2 - 4/5*x**4. Suppose u(s) = 0. What is s?
0, 1/4, 3
Let w(f) = 3*f - 1. Let o be w(3). Suppose 4*k + u = 30, -4*k + o + 28 = 4*u. Factor 0*b**4 + b - b**4 - b**3 - k*b**2 + 6*b**3 + 2*b.
-b*(b - 3)*(b - 1)**2
Suppose -6/7*w**2 + 2/7*w**3 + 0*w + 0 = 0. What is w?
0, 3
Let z(v) be the third derivative of 0*v + 0*v**4 + 0*v**5 + 0 + 0*v**3 + 1/1050*v**7 - 1/100*v**6 + 4*v**2. Let z(a) = 0. Calculate a.
0, 6
Let f = -113768/9 - -12641. Determine c, given that f*c + 0 - 2/9*c**2 + 1/9*c**3 = 0.
0, 1
Let v be (-18)/(-27)*18*(-2)/(-2). Suppose -3*g + 0*g + 9 = 0. Factor 4*w + v*w**2 - 3*w**3 - 16*w - g*w**3 + 3*w**3.
-3*w*(w - 2)**2
Let s be -12*(3/(-6))/(-1). Let z(i) = 2*i + 12. Let c be z(s). Factor 1/3*o + 2/3*o**2 + c + 1/3*o**3.
o*(o + 1)**2/3
Let w = -4 - -7. Let g(i) be the first derivative of -1 + i**w - 2 + 12*i - 12*i. Solve g(x) = 0 for x.
0
Let h = -3322 + 66453/20. Let z(k) be the second derivative of -2*k - 6/5*k**3 - h*k**4 - 9/50*k**5 - 6/5*k**2 + 0 - 1/50*k**6. Let z(p) = 0. What is p?
-2, -1
Let h be -1 - (4 + -17 + 3). Suppose h*i - 7*i = 16. Suppose 5*q**2 - 4 - i*q + 8*q**2 - 7*q**3 + 6*q**2 + 0*q**2 = 0. Calculate q.
-2/7, 1, 2
Let d(f) be the first derivative of f**4/2 + 22*f**3/3 - 25*f**2 + 26*f + 141. Let d(w) = 0. Calculate w.
-13, 1
Let d(y) be the second derivative of y**7/300 + 23*y**6/900 + y**5/15 + y**4/15 + 29*y**3/6 - 22*y. Let a(n) be the second derivative of d(n). Factor a(g).
2*(g + 1)*(g + 2)*(7*g + 2)/5
Factor 97*q**2 - 4802 - 4606*q - 2088*q**3 + 2086*q**3 + 97*q**2.
-2*(q - 49)**2*(q + 1)
Let r(b) = 2*b**2 - 30 + 14 + 16 + b. Let m(p) = 2*p**2. Let s(h) = 3*m(h) - 2*r(h). Let s(u) = 0. Calculate u.
0, 1
Factor 1/8*k**5 - 17/8*k**4 + 49/4*k + 0 - 175/8*k**2 + 93/8*k**3.
k*(k - 7)**2*(k - 2)*(k - 1)/8
Let l(a) be the second derivative of -5*a**4/12 + 5*a**3/3 + 15*a**2/2 - 744*a. Solve l(c) = 0 for c.
-1, 3
Let m(v) be the third derivative of -v**5/20 - 67*v**4/8 - 65*v**3 + 634*v**2. Factor m(b).
-3*(b + 2)*(b + 65)
Let h(t) be the second derivative of -t**6/30 - 13*t**5/60 - t**4/6 - t**3/6 + 3*t. Let d(p) be the second derivative of h(p). Find v such that d(v) = 0.
-2, -1/6
Let t(f) be the second derivative of 0 - 7/18*f**3 - 29*f + 1/60*f**5 - 1/18*f**4 - 2/3*f**2. Solve t(o) = 0.
-1, 4
Let q(u) be the third derivative of -u**6/24 - 5*u**5/12 - 5*u**4/12 + 20*u**3/3 + 8*u**2. Suppose q(h) = 0. Calculate h.
-4, -2, 1
Let t(z) be the first derivative of -10 + 1/10*z**4 - 2/3*z**3 - 6/5*z + 7/5*z**2. Solve t(i) = 0.
1, 3
Find z such that 1/2*z**4 + 4*z + 0 + z**2 - 5/2*z**3 = 0.
-1, 0, 2, 4
Let z(v) be the second derivative of 2*v**7/21 - 11*v**6/15 + 