he second derivative of -1/6*c**3 - 6*c - 1/60*c**6 + 0*c**2 - t*c**4 + 0 - 1/10*c**5. Solve h(v) = 0.
-2, -1, 0
Let j = 24638587/109652040 - -117/297160. Let t = j + -2/697. Factor 0*r + t*r**2 - 2/9.
2*(r - 1)*(r + 1)/9
Suppose 4*d - 35 = -z, -4*z + 120 = d - 95. Determine v so that 12*v**3 + 55*v - z*v - 4*v**4 + 4*v**3 = 0.
0, 4
Let y(k) be the second derivative of -k**8/1344 + k**6/144 + 11*k**4/4 - 8*k. Let o(p) be the third derivative of y(p). Suppose o(c) = 0. What is c?
-1, 0, 1
Let c(x) = -9*x**2 + 15*x - 30. Let o(y) = 11*y**2 - 14*y + 31. Suppose 0 = 6*i - 3*i - 12. Let j(q) = i*c(q) + 3*o(q). Factor j(h).
-3*(h - 3)**2
Let z = 11667/29105 + -5/5821. Factor -26/5 - z*h**2 + 28/5*h.
-2*(h - 13)*(h - 1)/5
Determine z, given that -93/4*z**3 + 0 + 1/4*z**4 - 29791/4*z + 2883/4*z**2 = 0.
0, 31
Let g be (-963)/4*92/43746. Let r = -2/317 - g. Let 3/4*d**2 + 5/4*d - r = 0. What is d?
-2, 1/3
Let t be -8 - -2*(-6)/(-1). Let o(u) be the third derivative of 0 + 1/10*u**3 + 11*u**2 + 0*u**t - 1/100*u**5 + 0*u. Factor o(b).
-3*(b - 1)*(b + 1)/5
Let p(d) = -3*d - 66. Let m be (-2)/2*(-9 - -12) - 19. Let a be p(m). Factor 4/5*z**2 + a + 6/5*z**3 + 1/5*z + 1/5*z**5 + 4/5*z**4.
z*(z + 1)**4/5
Let u(y) = -9*y**3 - 98*y**2 + 8*y + 32. Let o(s) = -2*s**3 - 23*s**2 + 2*s + 8. Let z(q) = -26*o(q) + 6*u(q). Factor z(w).
-2*(w - 4)*(w - 2)*(w + 1)
Let l(h) = -50*h - 200. Let a be l(-4). Factor 2/5*d**4 + 4/5*d**2 + a + 0*d - 6/5*d**3.
2*d**2*(d - 2)*(d - 1)/5
Let r = -26 - -38. Find f, given that 29*f**2 - 2*f - 2 - 8*f**2 - 7*f**2 + 2*f**3 - r*f**2 = 0.
-1, 1
Solve 320*t + 9 - 65 + 4*t**3 - 68*t**2 - 200 = 0.
1, 8
Let l = 401/10 + -198/5. Let f(j) be the second derivative of -l*j**5 - 5*j - 1/5*j**6 + 2*j**2 + 1/6*j**4 + 0 + 5/3*j**3. Determine z so that f(z) = 0.
-1, -2/3, 1
Let t = 1802/2387 - 6/217. Let d = 35/33 - t. Let 0*l - 7/6*l**5 + 0*l**2 + d*l**3 + 0 - 5/6*l**4 = 0. Calculate l.
-1, 0, 2/7
Let k(x) = -67*x**4 + 74*x**3 + 200*x**2 + 37*x + 11. Let z(c) = -17*c**4 + 18*c**3 + 50*c**2 + 9*c + 3. Let s(n) = 6*k(n) - 22*z(n). Let s(m) = 0. Calculate m.
-1, -2/7, 0, 3
Suppose -7*o = 3*o - 40. Suppose o*y = -y + 5*g - 25, -3*y = 2*g - 10. Factor -4/5*w**4 - 2/5*w + y + 2/5*w**5 + 0*w**3 + 4/5*w**2.
2*w*(w - 1)**3*(w + 1)/5
Suppose -x = -9*x + x. Let a(i) be the third derivative of x - 1/48*i**4 + 0*i + i**2 + 0*i**3 - 1/30*i**5. Find m, given that a(m) = 0.
-1/4, 0
Let s(q) be the third derivative of -q**5/12 + 20*q**4/3 + 55*q**3/2 - 24*q**2 + 3. Find w, given that s(w) = 0.
-1, 33
Let h(l) be the third derivative of l**7/210 + l**6/24 - 2*l**5/15 - l**4/2 - 67*l**2. Let h(k) = 0. What is k?
-6, -1, 0, 2
Let l(r) = -32*r**2 - 313*r. Let p(v) = -6*v**2 + v. Let q(d) = -l(d) + 5*p(d). Factor q(g).
2*g*(g + 159)
Suppose 3*m - 4 - 506 = 0. Let k be (9/5)/(51/m). Factor 6*h - k - 3/2*h**2.
-3*(h - 2)**2/2
Suppose -5*z - 43 = -7*m, 6*m - 2*m - 31 = 5*z. Let s be (-4)/(-2) - 3/6. Suppose -s*q**3 - 3/2*q**2 - 1/2*q - 1/2*q**m + 0 = 0. Calculate q.
-1, 0
Let t(o) be the first derivative of 2*o**5/5 - 2*o**4 - 22*o**3/3 - 6*o**2 - 148. Suppose t(r) = 0. What is r?
-1, 0, 6
Let o(l) be the first derivative of 3*l**5/5 + 5*l**4/3 + 2*l**3/3 - 2*l**2 + 11*l + 40. Let z(h) be the first derivative of o(h). Solve z(u) = 0.
-1, 1/3
Suppose 8/7 - 20/7*z + 16/7*z**2 - 4/7*z**3 = 0. What is z?
1, 2
Let v(r) be the third derivative of 4/735*r**7 + 0*r + 3*r**2 + 0*r**5 - 1/1176*r**8 + 0*r**3 - 1/105*r**6 + 0 + 0*r**4. Factor v(z).
-2*z**3*(z - 2)**2/7
Let g be 5/(-20) - 418/(-8). Let b be (-39)/g*(-8)/3. Factor -3*w**b - w**2 + w**4 + 8*w**5 + 11*w**4.
4*w**2*(w + 1)**2*(2*w - 1)
Let d be ((-50)/4 - -2)*(-280)/420. Let p(r) be the first derivative of 8*r - 4*r**3 + 4/5*r**5 - 2*r**2 + r**4 - d. Factor p(q).
4*(q - 1)**2*(q + 1)*(q + 2)
Let o(w) = 2*w**2 - 35*w - 15. Let k(z) = 3*z**2 + 5*z - 4. Let m be k(2). Let t be o(m). Factor -50/9*h**2 - 14/9*h**4 - 8/9 - 32/9*h - 38/9*h**t - 2/9*h**5.
-2*(h + 1)**3*(h + 2)**2/9
Suppose 4*d + 60 = -f, -4*d + 5*f - 14 = 22. Let n be ((-124)/217)/(4/d). Factor 1/2*h**n - 5/4*h**5 + 0*h + 0 - 9/4*h**3 + 3*h**4.
-h**2*(h - 1)**2*(5*h - 2)/4
Suppose 5*j = 5*v + 20, 3*j - 4 = -3*v + 14. Suppose 4 = j*z - 4*z. Factor 4*p + 4*p**2 - 4*p**3 + 0*p + 0*p + z*p.
-4*p*(p - 2)*(p + 1)
Suppose -v - 2*w - 5 + 18 = 0, -v = -4*w + 17. Suppose 4*d - c - 26 = -3*c, 14 = d + 2*c. Factor 2*f**2 + v*f**3 + f**2 - 2*f**4 + f**5 - f**d - 4*f**5.
-3*f**2*(f - 1)*(f + 1)**2
Factor 20/3*y - 14/3*y**2 + 0 + 2/3*y**3.
2*y*(y - 5)*(y - 2)/3
Suppose 8*w - 191 = -159. Suppose 4*d = -c + 10, -2*c = -6*c + w*d. Let -4 - 1/4*n**2 + c*n = 0. Calculate n.
4
Suppose 6*p + 4*i + 7 = 11*p, 4*i - 11 = -p. Factor 4*b**3 + 19*b + b**3 + 0*b**2 + 0*b**p - 38*b**2 + 14.
(b - 7)*(b - 1)*(5*b + 2)
Let u be 12/((-17)/(-4) + 72 + -65). Solve -u*w**2 + 0*w + 32/15 + 0*w**3 + 2/15*w**4 = 0.
-2, 2
Suppose -s + f = -2*s, -4*s + 6 = 2*f. Let z = 3 + 0. Let 8*q - 24*q**2 - z*q**3 - 12*q**2 + 13*q**3 + 18*q**s = 0. Calculate q.
0, 2/7, 1
Let q be (16/44 + 102/(-220))*-4. Factor 2/15*k - q*k**2 + 0.
-2*k*(3*k - 1)/15
Let t(c) be the first derivative of -c**6/9 + 28*c**5/45 - 2*c**4/9 - 4*c**3/3 + 7*c**2/9 + 8*c/9 + 5. Let t(l) = 0. What is l?
-1, -1/3, 1, 4
Let n(s) be the third derivative of s**5/210 + 16*s**4/21 + 1024*s**3/21 - 343*s**2. Factor n(u).
2*(u + 32)**2/7
Let s(m) be the first derivative of 7*m**3/12 - 13*m**2/4 - 2*m - 560. Factor s(c).
(c - 4)*(7*c + 2)/4
Let b(z) be the third derivative of -1/315*z**7 + 0*z + 5*z**2 - 1/90*z**6 + 1/9*z**3 + 8 + 0*z**5 + 1/18*z**4. Find v, given that b(v) = 0.
-1, 1
Let p(x) be the second derivative of -x**7/2520 + x**6/360 - 7*x**4/6 + 16*x. Let r(z) be the third derivative of p(z). Factor r(q).
-q*(q - 2)
Let y(q) be the first derivative of q**3/12 + q**2/2 + q - 351. Factor y(w).
(w + 2)**2/4
Let i(l) be the second derivative of -3*l**7/980 + l**6/420 + l**5/210 + l**3/6 - 4*l. Let q(z) be the second derivative of i(z). Factor q(r).
-2*r*(3*r - 2)*(3*r + 1)/7
Find a such that 9*a + 7*a**2 - 31*a**2 + 37*a**3 - 19*a**3 - 3*a**5 = 0.
-3, 0, 1
Let y = -3 + 6. Let i = y - 1. Let -s**3 + s**2 - i*s + 2*s = 0. Calculate s.
0, 1
Let m(i) be the second derivative of i**6/360 - i**5/60 - i**4/8 + 13*i**3/6 + 6*i. Let g(x) be the second derivative of m(x). Determine b so that g(b) = 0.
-1, 3
Let l(c) = c + 42. Let v be l(-18). Factor -27*i - 108*i**2 - 81 - v*i**3 - 17*i - 118*i.
-3*(2*i + 3)**3
Let x(d) be the second derivative of d**7/1680 - d**6/160 + d**5/40 + 13*d**4/12 - 15*d. Let m(k) be the third derivative of x(k). Factor m(b).
3*(b - 2)*(b - 1)/2
Solve -1/2*o**5 - 25/2*o**3 - 4 - 4*o**4 - 14*o - 19*o**2 = 0.
-2, -1
Suppose 40/11*k + 20/11*k**3 + 67/11*k**2 - 28/11 = 0. Calculate k.
-2, -7/4, 2/5
Determine x, given that 28/5*x**3 + 0 + 8*x - 68/5*x**2 = 0.
0, 1, 10/7
Let x(w) be the third derivative of w**9/4536 + w**8/2520 + 23*w**3/6 + 14*w**2. Let q(j) be the first derivative of x(j). Find f, given that q(f) = 0.
-1, 0
Suppose 5*k = 5*j - 0 + 10, -j - 7 = -2*k. Factor -a**4 + 3*a**5 + j*a**3 - a**5 - a**3 - 3*a**4.
2*a**3*(a - 1)**2
Let x(l) = -4*l**3 - l + 5. Suppose 5*o + 2 = -c - 10, -4*c = -2*o - 18. Let g(r) = -r**3 + 2*r**3 - 4*r**c + 4 - r. Let f(p) = 5*g(p) - 4*x(p). Factor f(v).
v*(v - 1)*(v + 1)
Let x = 11 + -7. Let a be (-52)/(-16) + (-1)/x. Let -4 + 12*q**2 - a*q + 8*q + 3*q = 0. What is q?
-1, 1/3
Let b(y) = 38*y + 1636. Let i be b(-43). Factor -2/5*t - 1/5*t**3 - 3/5*t**i + 0.
-t*(t + 1)*(t + 2)/5
Let y be (769 - 763)/(-3*2/(-4)). Factor 14/3*w**5 + 52/3*w**y + 32/3*w**2 - 2/3*w + 68/3*w**3 - 4/3.
2*(w + 1)**4*(7*w - 2)/3
Let c(u) be the first derivative of -u**7/48 + 13*u**6/240 - u**4/12 - 47*u**3/3 + 38. Let n(g) be the third derivative of c(g). Find x, given that n(x) = 0.
-2/7, 2/5, 1
Let z = 25 - 21. Suppose -z*v - 4*q = -52, 64 = 5*v + 3*q - 11. Factor -10*n**3 + v*n**3 - 2*n**2 - 9*n**3.
-n**2*(n + 2)
Let b(a) = -22*a - 88. Let i be b(-4). Let z(v) be the first derivative of 4/5*v**5 + i*v + 5/4*v**4 + 2/3*v**3 + 0*v**2 + 3 + 1/6*v**6. Factor z(k).
k**2*(k + 1)**2*(k + 2)
Suppose -2*x = -5*o + 25, 0*x - 5*o = -x - 20. Let l(g) = g + 9. Let r be l(x). Factor -q**2 + 4 - r + 0*q**2.
-q**2
Let d = 4/1557 - -20