e c(i) = 0.
0, 5
Let q(w) be the second derivative of -w**7/168 + w**6/40 - w**5/40 - 58*w. Find j such that q(j) = 0.
0, 1, 2
Suppose -5*o**4 - 47*o**2 - 29*o + 2*o**2 - 25*o**3 - 10 - 6*o + 0*o**2 = 0. What is o?
-2, -1
Let j(y) be the first derivative of 17 - 15*y - 5/3*y**3 - 10*y**2. Factor j(t).
-5*(t + 1)*(t + 3)
Let l(d) be the second derivative of -13*d**6/120 + 5*d**5/8 - 31*d**4/48 - d**3/4 + d - 21. Solve l(g) = 0.
-2/13, 0, 1, 3
Let l(v) be the second derivative of -3*v**5/20 - 37*v**4/6 + 25*v**3/6 + 4*v - 6. Solve l(m) = 0 for m.
-25, 0, 1/3
Let k = 2368/57 - 764/19. Determine j, given that 0 - j**2 + k*j**3 - 1/3*j**4 + 0*j = 0.
0, 1, 3
Factor 0*k**2 - 20/9*k**4 + 0 + 0*k**3 - 2/9*k**5 + 0*k.
-2*k**4*(k + 10)/9
Let p(u) be the third derivative of -u**5/450 + u**4/12 + 34*u**3/45 - 572*u**2. Determine m so that p(m) = 0.
-2, 17
Factor 1828 - 1828 + 4*z**3 + 0*z**3 + 36*z**2.
4*z**2*(z + 9)
Suppose 3*s + 6*h - 3*h = -24, 0 = 2*s - h + 4. Let x(n) = n**2 - 13*n + 12. Let m(y) = -6*y**2 + 90*y - 84. Let o(t) = s*m(t) - 27*x(t). Factor o(r).
-3*(r - 1)*(r + 4)
Let r = -3918 + 15673/4. Suppose -3*w = 5*d - 32, d - 1 - 7 = -w. Factor -3/4 + r*y**d - y + y**3 + 1/2*y**2.
(y - 1)*(y + 1)**2*(y + 3)/4
Let z(i) be the third derivative of i**8/1008 - 2*i**7/315 + i**6/72 - i**5/90 - 70*i**2 + 2. Factor z(b).
b**2*(b - 2)*(b - 1)**2/3
Let x = 8 - 30. Let u = -14 - x. Solve -u*c**2 + 7*c**2 + 0 + 1 = 0.
-1, 1
Determine v so that -1/2*v**2 + 3/2*v + 0 = 0.
0, 3
Let w(z) be the first derivative of -1 + z**4 + 0*z - 4/3*z**3 - 4*z**2. Factor w(g).
4*g*(g - 2)*(g + 1)
Let z(c) = 36*c**2 - 36*c. Let f be ((-4)/8 + 0)*-12. Let v(t) = f*t - 8*t - 3*t + 5*t**2 + 0*t. Let r(o) = -15*v(o) + 2*z(o). Factor r(j).
-3*j*(j - 1)
Let -10*f - 13*f**3 - 5*f**2 - 3*f**4 + 23*f**3 + 8*f**4 = 0. Calculate f.
-2, -1, 0, 1
Let v(d) be the third derivative of 5*d**8/336 - d**7/42 - d**6 + 22*d**5/3 - 70*d**4/3 + 40*d**3 - d**2 - 27*d. Find h, given that v(h) = 0.
-6, 1, 2
Let p(k) be the first derivative of -k**4/10 + 26*k**3/15 - 11*k**2 + 30*k + 49. Find v, given that p(v) = 0.
3, 5
Let o(f) be the first derivative of f**3/21 - 5*f**2/7 - 79. Factor o(g).
g*(g - 10)/7
Let f(p) = 45*p**2 + 35*p - 6. Let a(r) = -r + 25. Let z be a(21). Let q(j) = -90*j**2 - 70*j + 11. Let l(d) = z*q(d) + 9*f(d). Factor l(t).
5*(t + 1)*(9*t - 2)
Let 18/7*n + 16/7 + 2/7*n**2 = 0. What is n?
-8, -1
Let n(x) be the second derivative of -1/48*x**4 - 1/48*x**3 - 1/160*x**5 + 0*x**2 + 0 + 11*x. Let n(d) = 0. What is d?
-1, 0
Let h(c) be the third derivative of 0*c**3 + 0*c + 1/10*c**5 + 16/315*c**7 - 12*c**2 + 1/36*c**4 + 0 + 2/15*c**6. Find u, given that h(u) = 0.
-1, -1/4, 0
Let g(t) = t**3 - 8*t**2 + 5*t + 2. Let b = 33 + -35. Let p(s) = 9*s**2 - 6*s - 3. Let q(y) = b*p(y) - 3*g(y). Let q(n) = 0. Calculate n.
0, 1
Let r = -54 - -54. Let i(d) be the third derivative of -d**2 + 1/120*d**6 + 0 + r*d**3 + 0*d**5 - 1/105*d**7 + 1/336*d**8 + 0*d + 0*d**4. Factor i(x).
x**3*(x - 1)**2
Let f be (3/(-150))/((-72)/60). Let q(x) be the third derivative of 0*x + 2/3*x**3 + f*x**6 - 1/15*x**5 + 0 - 1/12*x**4 + 4*x**2. Solve q(k) = 0 for k.
-1, 1, 2
Let k(b) be the second derivative of -5*b**4/48 - 25*b**3/8 + 10*b**2 + 2*b. Factor k(g).
-5*(g - 1)*(g + 16)/4
What is k in -11/3*k**3 + 0 - 1/3*k**4 - 32/3*k**2 - 28/3*k = 0?
-7, -2, 0
Suppose -4/3*q + 0 - 8/3*q**2 - q**3 = 0. Calculate q.
-2, -2/3, 0
Let o(w) = -w - 3. Let x be (-3 + 2)*14/2. Let j be o(x). Determine i, given that 4 - 4*i**2 - 2*i + 2*i**3 - i - j*i + 5*i = 0.
-1, 1, 2
Suppose -w - 2 = 5*a, 78*w - 77*w + 2 = -4*a. Factor 0 + 6/7*f**4 + a*f**2 + 0*f - 3/7*f**3 - 3/7*f**5.
-3*f**3*(f - 1)**2/7
Let b = -8 - -12. Suppose -5*n = -2*n - 4*l - 21, -b*l - 3 = 3*n. Factor -6*t - 3*t**2 + 3*t**3 + 5*t**n - 5*t**3.
3*t*(t - 2)*(t + 1)
Let o(r) be the second derivative of 0*r**2 + 1/3*r**3 + 0 - 5/36*r**4 + 1/30*r**6 - 10*r - 2/15*r**5. Factor o(b).
b*(b - 3)*(b + 1)*(3*b - 2)/3
Let l(n) be the second derivative of -48*n - 2/9*n**2 + 1/9*n**3 + 0 - 1/54*n**4. Suppose l(g) = 0. What is g?
1, 2
Suppose -25*g + 2*g + 284 = 284. Find z such that 0*z**2 + 0 + g*z + 12/7*z**4 + 8/7*z**3 + 4/7*z**5 = 0.
-2, -1, 0
Let y be (5 - -4)/(3/2). Let b = -38 + 44. Factor y + 0 - b + 2*q**2.
2*q**2
Suppose 2*y = -4*k + 12 + 42, -29 = -2*k + y. Let r = k + -12. Suppose 2*j - 2*j**2 - 6 + 2*j**2 + 2 + r*j**2 = 0. Calculate j.
-2, 1
Suppose -18 + 8 = -2*f. Solve 3*q**4 + 5*q**5 - 20*q**2 - 3*q**3 + 33*q**3 - 23*q**4 + f*q = 0.
0, 1
Let l = 490 - 486. Let g(k) be the third derivative of 0*k + 0 + 0*k**3 + 1/120*k**5 + 0*k**l - 1/420*k**7 + 0*k**6 - 9*k**2. Solve g(a) = 0 for a.
-1, 0, 1
Let x(m) be the second derivative of 0*m**2 + 0 + 1/45*m**6 + 8*m + 1/30*m**5 + 0*m**3 - 1/9*m**4. Factor x(k).
2*k**2*(k - 1)*(k + 2)/3
Let j(x) be the first derivative of -3*x**4/8 + 15*x**3/2 + 12*x**2 - 561. Determine u so that j(u) = 0.
-1, 0, 16
Let n(p) be the first derivative of -2*p**3/13 - 128*p**2/13 - 168*p/13 + 170. Find j, given that n(j) = 0.
-42, -2/3
Factor 0*a - 25/2*a**3 + 5/2*a**5 + 0 + 10*a**4 + 0*a**2.
5*a**3*(a - 1)*(a + 5)/2
Let h(n) be the first derivative of -3*n**4/4 + 18*n**2 - 48*n + 174. Factor h(v).
-3*(v - 2)**2*(v + 4)
Solve -12/5*u - 1/5*u**4 + 0 - 7/5*u**3 - 16/5*u**2 = 0 for u.
-3, -2, 0
Factor -1/4*n**2 - 7/4*n + 9/2.
-(n - 2)*(n + 9)/4
Let x(v) = -v**2 - 8*v + 7. Let d be x(-8). Factor -10 - d + 5*p**2 + 12.
5*(p - 1)*(p + 1)
Suppose 14*x = -12 + 96. Let p be ((5 - -1)/x)/2. Factor 1 - k**2 + p*k**3 - 1/2*k.
(k - 2)*(k - 1)*(k + 1)/2
Let h = 1063 + -5513/5. Let q = h - -40. Solve 4/5*y**2 + 0 - 2/5*y - q*y**3 = 0.
0, 1
Let q be 168/448 - (2 - 58/16). Find l, given that -3/2 - 3/2*l**q + 3*l = 0.
1
Let l(j) be the first derivative of j**5/5 - j**4/2 - 7*j**3/3 + 10*j**2 - 12*j - 4. Factor l(n).
(n - 2)**2*(n - 1)*(n + 3)
Factor 0 + 1/3*u**4 + 968/3*u + 59/2*u**3 + 660*u**2.
u*(u + 44)**2*(2*u + 1)/6
Let t(i) = 41*i**3 + 51*i**2 - 72*i - 32. Let j(u) = 40*u**3 + 50*u**2 - 70*u - 30. Let o(k) = 6*j(k) - 5*t(k). Factor o(c).
5*(c - 1)*(c + 2)*(7*c + 2)
Let d be ((-510)/(-3))/(-5) - -4. Let h = -30 - d. Solve 2/3*p + 4/3*p**2 + h*p**3 + 0 - 2/3*p**5 - 4/3*p**4 = 0.
-1, 0, 1
Factor 15/2 - 5/2*b**2 + 11*b.
-(b - 5)*(5*b + 3)/2
Suppose 20 = 5*u - 0*u. Factor -1/4 + 1/2*n**u + 3/4*n**2 + 5/4*n**3 - 1/4*n.
(n + 1)**3*(2*n - 1)/4
Let q(j) be the second derivative of -1/120*j**4 + 0 - 11/60*j**3 - 15*j - 1/2*j**2. Find x such that q(x) = 0.
-10, -1
Let p(y) be the third derivative of y**7/840 + y**6/40 - y**4/12 - 7*y**3/2 - y**2. Let i(w) be the second derivative of p(w). Factor i(k).
3*k*(k + 6)
Suppose -2*f + 18 = -4. Let 0*i + 7*i**2 - f*i**2 - 27*i - 14*i**2 - 3*i**3 = 0. Calculate i.
-3, 0
Solve 92/5*u**3 - 12*u**2 - 2/5 + 18/5*u**5 - 66/5*u**4 + 18/5*u = 0.
1/3, 1
Solve 0 - 2/3*r**5 - 4/3*r + 2/3*r**4 - 2/3*r**2 + 2*r**3 = 0 for r.
-1, 0, 1, 2
Factor 465/8*r**3 + 0 + 0*r + 3/4*r**4 + 231/8*r**2.
3*r**2*(r + 77)*(2*r + 1)/8
Let s(u) be the third derivative of 4/21*u**3 + 1/28*u**4 + 0 - 1/210*u**5 + 19*u**2 + 0*u. Factor s(o).
-2*(o - 4)*(o + 1)/7
Let m be ((-105)/56)/(3/26). Let n = m - -495/28. Find k such that 8/7*k**2 - n*k + 4/7 - 2/7*k**3 = 0.
1, 2
Let p(i) be the first derivative of -2 + 3*i - 3/14*i**3 + 0*i**2 + 1/28*i**4. Let l(t) be the first derivative of p(t). Factor l(j).
3*j*(j - 3)/7
Let s be 5/10 - (-6)/4. Suppose -3*q + g = -s, -16 = -4*q - 2*g - 0*g. Factor 1 - 3 + 10*z + 0 - 15*z**2 + 7*z**q.
-2*(z - 1)*(4*z - 1)
Let -1/6*f**2 + 4/3*f + 3/2 = 0. Calculate f.
-1, 9
Let b(o) be the third derivative of 13*o**2 + 0*o**5 - 2/105*o**7 + 2/3*o**3 + 0 - 1/3*o**4 + 1/15*o**6 + 0*o. Let b(t) = 0. What is t?
-1, 1
Let f(a) = 3*a. Let w(k) = 3*k**2 - 108*k. Let p(o) = -4*f(o) + w(o). Determine n so that p(n) = 0.
0, 40
Determine o, given that -11/4*o**2 + 19/4*o + 1/4*o**3 - 9/4 = 0.
1, 9
Suppose 23 = -k - s, -5*k - 2*s = 172 - 51. Let b = k - -28. What is r in 10*r**3 - 4*r**5 - 4*r**2 + 2*r**4 + 2*r**4 - 6*r**b = 0?
-1, 0, 1
Let a(k) = k**2 - 10*k + 9. Suppose y + 0*y = 14. Let l be a(y). Suppose -34*z**5 + z**3 + l*z**5 - 32*z**5 = 0. What is z?
-1, 0, 1
Let y be ((-1248)/288)/((-13)/6). Determine r, given that -2/9*r - 2/9*r**y + 4/9 = 