ive of y**6/8 + 9*y**5/20 - y**3 + 4. Suppose k(l) = 0. Calculate l.
-2, 0, 1
Let v(m) be the second derivative of 12*m**2 - 19*m - 19*m**3 + 0 + 39/4*m**4 + 21/8*m**5 - 5/8*m**6. Let v(i) = 0. What is i?
-2, 2/5, 4
Determine f so that -24*f - 4*f**4 - 3*f**5 + 263*f**3 + 0*f**4 - 245*f**3 + f**4 + 12*f**2 = 0.
-2, 0, 1, 2
Let j = -1212 - -1214. Solve -1 + 9/2*s**j - 1/2*s**3 - 3/2*s**4 - 3/2*s = 0 for s.
-2, -1/3, 1
Let u(n) be the second derivative of -7*n**4/4 - 13*n**3 + 12*n**2 + 174*n. Determine o so that u(o) = 0.
-4, 2/7
Let h(z) be the third derivative of z**6/60 - 2*z**5/15 + z**4/4 + 150*z**2. Factor h(w).
2*w*(w - 3)*(w - 1)
Let y(v) = 1 + 10*v + 1 + 1 + 2*v - v**2. Let u be y(12). Factor 2/7*s**5 - 4/7*s**u - 2/7*s**4 + 4/7*s**2 - 2/7 + 2/7*s.
2*(s - 1)**3*(s + 1)**2/7
Let b(a) be the second derivative of -a**8/7560 - a**7/3780 + a**3/3 + 23*a. Let y(x) be the second derivative of b(x). Factor y(n).
-2*n**3*(n + 1)/9
Let n(i) be the first derivative of -11/3*i**3 + 7/5*i**5 + 6*i**2 - 3*i**4 + 4*i - 6. Solve n(j) = 0.
-1, -2/7, 1, 2
What is h in 4/3*h**2 - 4/3*h + 4/3*h**3 - 4/3*h**4 + 0 = 0?
-1, 0, 1
Let j be ((-406)/(-2233))/((-13)/(-77)). Factor -30/13*z**2 + 2*z**3 - 8/13*z**4 + j*z - 2/13.
-2*(z - 1)**3*(4*z - 1)/13
Solve -4/7*u**3 - 40 + 40/7*u**2 - 44/7*u = 0.
-2, 5, 7
Let z(q) be the third derivative of q**5/120 - 13*q**4/4 + 507*q**3 - 27*q**2. Factor z(c).
(c - 78)**2/2
Let n = -25 - -32. Suppose y - 8 = 3*y, -3*y = 5*l + n. Solve 2 + 4 - c**2 - 4 - l = 0 for c.
-1, 1
Suppose 69 = -3*g + 4*k + 87, k + 7 = 2*g. Let s(j) be the first derivative of 0*j**g + 0*j - 1 + 3/2*j**6 - 3/2*j**4 + 3/5*j**5 + 0*j**3. Factor s(u).
3*u**3*(u + 1)*(3*u - 2)
Factor 4*q**5 - 232*q + 84*q**2 - 20*q**4 + 183*q**3 + 160*q - 179*q**3.
4*q*(q - 3)**2*(q - 1)*(q + 2)
Let w(k) = -k**2 + 53*k - 96. Let t(d) be the first derivative of d**3 - 66*d**2 + 240*d + 12. Let n(m) = -5*t(m) - 12*w(m). Factor n(s).
-3*(s - 4)**2
Let r(z) = 6*z + 4. Suppose -b - 9 = 13. Let g(u) = -u**2 + 31*u + 21. Let w(p) = b*r(p) + 4*g(p). Factor w(t).
-4*(t + 1)**2
Let d = 11497/3 - 3765. Let s = d + -66. Factor -2*a - s + 0*a**2 + 2/3*a**3.
2*(a - 2)*(a + 1)**2/3
Let s**3 + 5/3*s + 0 - 3*s**2 + 1/3*s**4 = 0. What is s?
-5, 0, 1
Let r(h) = 39*h**2 - 33*h - 3. Let k(s) = s**2. Let j(z) = -3*k(z) + r(z). Solve j(x) = 0 for x.
-1/12, 1
Suppose -2*n + 85 = n - l, -3*l + 25 = n. Let s be 1/12*n - 2/6. Factor 2*r + 2/3*r**s + 4/3.
2*(r + 1)*(r + 2)/3
Let j(i) be the second derivative of -i**4/66 + 28*i**3/33 + 2*i + 413. Determine w so that j(w) = 0.
0, 28
Let p(u) = -4*u - 79. Let j be p(-21). Let f(h) be the third derivative of 1/9*h**3 - 1/180*h**j + 0 + 0*h - 3*h**2 + 1/72*h**4. Factor f(o).
-(o - 2)*(o + 1)/3
Let q(l) be the third derivative of 5*l**8/336 - 8*l**7/21 + 7*l**6/12 + 4*l**5/3 - 25*l**4/8 - 68*l**2. Let q(n) = 0. Calculate n.
-1, 0, 1, 15
Let i(s) be the second derivative of 0*s**4 - 11*s - 1/165*s**6 - 1/55*s**5 + 0*s**3 + 0 + 0*s**2. Solve i(u) = 0.
-2, 0
Let t(d) be the first derivative of 3*d**4/4 + d**3/3 - d**2 - 41. Suppose t(r) = 0. Calculate r.
-1, 0, 2/3
Let n = -370 - -463. Let t be n/42 + ((-10)/(-7))/5. Let 5/2*x**2 + t*x - 5/2*x**3 - 5/2 = 0. What is x?
-1, 1
Let n(t) = 2*t + 50. Let x be n(-20). Find v, given that 15*v**2 - 5*v + x*v - 2*v + 9*v**2 = 0.
-1/8, 0
Let d be (-4)/5 - (-1158)/10. Let g be 1/6 - d/(-30). Factor -4*v**g + 93*v + 8*v**2 - 93*v - 4.
-4*(v - 1)**2*(v + 1)**2
Let m be (-195)/(-78)*(-4)/(-5). Let i be (m/(-3) + 2)*(-78)/(-676). Factor i*x**2 - 6/13*x + 0.
2*x*(x - 3)/13
Let k(w) be the third derivative of w**5/15 - w**4/2 + 5*w**3/6 + 15*w**2. Let b(g) = -6*g**2 + 18*g - 7. Let a(h) = 5*b(h) + 7*k(h). Let a(u) = 0. What is u?
0, 3
Let n(i) be the first derivative of 3*i**4/20 + i**3/5 - 3*i**2/5 - 45. Solve n(u) = 0.
-2, 0, 1
Let g = -200 - -65. Let u = g - -137. Let u*z**4 + 18/5*z**2 + 4/5*z + 0 + 24/5*z**3 = 0. What is z?
-1, -2/5, 0
Let z(c) = 3*c**4 + 66*c**3 + 91*c**2 - 12*c - 140. Let l(f) = 2*f**4 + 43*f**3 + 61*f**2 - 8*f - 93. Let k(x) = 8*l(x) - 5*z(x). Solve k(n) = 0.
-11, -2, 1
Determine d, given that -1/5*d - 17/5*d**2 + 17/5 + 1/5*d**3 = 0.
-1, 1, 17
Let 2751*o + 2*o**4 - 5497*o - 20*o**2 + 2*o**3 + 2762*o = 0. Calculate o.
-4, 0, 1, 2
Let b(f) be the second derivative of f**5/30 + 4*f**4/9 + 7*f**3/9 + 126*f. Factor b(m).
2*m*(m + 1)*(m + 7)/3
Let q(l) = l**2 + 13. Let a be q(0). Let k = a - 10. Factor -4 + 2*w + 3*w**2 - w**k + 3*w**2 - 2*w**4 - w**3.
-2*(w - 1)**2*(w + 1)*(w + 2)
Let u(m) be the second derivative of m**6/210 + m + 17. Determine l so that u(l) = 0.
0
Suppose -2*c - h + 24 = 0, -4*c = -0*h - h - 54. Factor -23*y**2 - 12*y + 12 - 4 - c*y**2 - 16*y.
-4*(y + 1)*(9*y - 2)
Let d = -16429/5 + 3287. Suppose 6/5*h**2 + d*h + 2/5*h**3 + 2/5 = 0. Calculate h.
-1
Suppose 58*s + 6*s = 0. Let z = 2 - 0. Factor s + 0*a**z - 3/5*a**3 + 3/5*a.
-3*a*(a - 1)*(a + 1)/5
Solve 16/3*u**2 + 8/3*u**4 + 0 + 4/3*u**5 + 0*u - 28/3*u**3 = 0 for u.
-4, 0, 1
Let f(d) = -d**3 - 26*d**2 + 62*d - 46. Let a be f(-28). Let b = 216 + a. Factor -3/7*l**b + 0 - 12/7*l.
-3*l*(l + 4)/7
Let p(k) be the first derivative of -7*k**6/2 - 6*k**5/5 + 63*k**4/4 - 8*k**3 - 6*k**2 - 54. Determine q, given that p(q) = 0.
-2, -2/7, 0, 1
What is u in 2/5*u**2 - 16/5*u + 14/5 = 0?
1, 7
Suppose 0 = -4*c + 4 + 8. Suppose c*f - 13 = 8. Solve f*g**4 + 3*g**3 - 4*g**3 - g**2 - 6*g**4 + g = 0 for g.
-1, 0, 1
Solve -13/3*u**2 - 1/3*u**3 - 9 - 13*u = 0.
-9, -3, -1
Let d = 31 + -26. Let x(z) be the third derivative of 1/660*z**6 - 1/165*z**d + 0 + 0*z + 0*z**3 - 2*z**2 + 1/132*z**4. Determine o, given that x(o) = 0.
0, 1
Let t(n) be the second derivative of -n**6/150 - 23*n**5/100 - 4*n**4/3 - 38*n**3/15 - 37*n + 2. What is w in t(w) = 0?
-19, -2, 0
Let i(u) be the third derivative of u**7/1050 - 2*u**6/75 + 13*u**5/300 + u**4/4 + 4*u**2 - 25*u. Factor i(t).
t*(t - 15)*(t - 2)*(t + 1)/5
Suppose 0 = -r - 4*r + 45. Suppose -2*v + 22 = r*v. Factor 4/7 - 6/7*t**3 + 20/7*t**v - 18/7*t.
-2*(t - 2)*(t - 1)*(3*t - 1)/7
Let j(a) be the second derivative of 0 + 4*a**2 - 20*a + a**3 - 1/6*a**4. Find n such that j(n) = 0.
-1, 4
Suppose 530/7*r + 38/7*r**2 - 2/7*r**3 + 1450/7 = 0. What is r?
-5, 29
Suppose -123*t - 8 = 30 - 284. Solve 5/9*x**t - 14/9*x**4 + 0 - 2/9*x + 11/9*x**3 = 0.
-1/2, 0, 2/7, 1
Suppose -3 = -5*d + 3*q, 2*d - 4*q + 4 = -6. Factor 22*s**3 + s**2 + 15*s**3 - 33*s**d - 3*s**2 - 2*s**4.
-2*s**2*(s - 1)**2
Let g(b) be the second derivative of b**7/21 - b**6 + 24*b**5/5 - 22*b**4/3 + 14*b. Determine a, given that g(a) = 0.
0, 2, 11
Let 0 + 2/11*x**2 - 6*x = 0. What is x?
0, 33
Factor 1/4*u**5 + 2*u**4 - 9/4*u**3 + 0*u**2 + 0*u + 0.
u**3*(u - 1)*(u + 9)/4
Let t(r) be the first derivative of -r**3/9 - 7*r**2 - 39*r - 117. Find f, given that t(f) = 0.
-39, -3
Suppose 244/5*r + 2/5*r**2 + 7442/5 = 0. Calculate r.
-61
Let n(b) be the third derivative of b**5/570 - b**4/38 - 40*b**3/57 + 12*b**2 - 11*b. Factor n(l).
2*(l - 10)*(l + 4)/19
Let z(g) = -9*g**3 + 25*g**2 + 61*g + 35. Let i(u) = -123*u - 70 - 61*u**2 - 837*u**3 + 854*u**3 + 11*u**2. Let d(m) = 4*i(m) + 7*z(m). Solve d(n) = 0.
-1, 7
Let k(l) = 16*l**3 + 16*l**2 - 34*l - 14. Suppose 4*o - 5*t = 35, t - 4 + 3 = 0. Let x(i) = 5*i**3 + 5*i**2 - 11*i - 5. Let y(f) = o*x(f) - 3*k(f). Factor y(s).
2*(s - 2)*(s + 1)*(s + 2)
Let o(t) = t**3 - 12*t**2 + 11*t + 98. Let f be o(10). Let g(w) be the first derivative of 0*w - 1/6*w**3 + f + 1/2*w**2. Factor g(y).
-y*(y - 2)/2
Suppose 0 = -2*z + 4*v + 36, -60*v = 2*z - 56*v + 4. Let r(n) be the second derivative of -4/15*n**3 - z*n + 0 - 1/5*n**4 - 1/25*n**5 + 0*n**2. Factor r(g).
-4*g*(g + 1)*(g + 2)/5
Let f(w) be the first derivative of -3*w**5/2 + 25*w**4/2 + 25*w**3/3 - 25*w**2 - 35*w/2 - 66. Find v such that f(v) = 0.
-1, -1/3, 1, 7
Let l(o) be the first derivative of -5*o**3/9 + 10*o**2 + 65*o/3 + 41. Factor l(n).
-5*(n - 13)*(n + 1)/3
Let r(l) = 2*l**2 - 9*l + 7. Let s be r(5). Suppose -3*w + s = w. Let 2/3*m**4 + 2/3*m**w + 0 + 0*m**2 + 0*m = 0. What is m?
-1, 0
Let c = 1 + 6. Let o = c - 3. What is q in 2*q**4 + 3*q**2 + 24*q**3 - 19*q + 6*q**o + q**4 - 12 - 5*q = 0?
-2, -1, -2/3, 1
Find d, given that 370*d**3 + 36*d**4 + 540636*d - 34*d**4 + 22692