**2
Let n(k) be the third derivative of 0*k + 0*k**5 - 45/112*k**8 + 0*k**4 + 0*k**3 + 5*k**2 - 4/35*k**7 + 1/10*k**6 + 0. Factor n(d).
-3*d**3*(5*d + 2)*(9*d - 2)
Let j(n) = -n**3 + n. Let y(f) = f**3 - 6*f**2 + 5*f. Let m(g) = -j(g) + y(g). Factor m(z).
2*z*(z - 2)*(z - 1)
Determine h so that -16/7*h + 24/7*h**2 + 4/7*h**3 - 32/7 - 4/7*h**4 = 0.
-2, -1, 2
Let c(d) be the second derivative of d**7/280 + d**6/60 - 3*d**5/40 - d**3 + 12*d. Let n(u) be the second derivative of c(u). Determine p, given that n(p) = 0.
-3, 0, 1
Let j(c) = -14*c**2 - 2*c - 5. Let w be j(-2). Let h = -57 - w. Find g such that -2/7*g**3 + 6/7*g**4 + 4/7*g - 6/7*g**2 - 2/7*g**5 + h = 0.
-1, 0, 1, 2
Let x be ((-15)/(-6))/((-10)/(-20)). Solve 4*i**2 + 4*i - 5*i**x - 4*i**4 + 0*i**4 + 18*i**4 - 19*i**3 + 2*i**5 = 0.
-1/3, 0, 1, 2
Let n = -5600 - -123179/22. Let g = -5/11 - n. Suppose 1/2*q**2 - 5/4*q**5 + 5/4*q**3 + 0 + 0*q - g*q**4 = 0. What is q?
-1, -2/5, 0, 1
Let a be 6/(4 - 1) - 1. Let h = -3 - -8. Find d, given that -d**h - 2*d**3 - 2*d**2 - a - 5*d**2 + 5*d**2 + 3*d + 3*d**4 = 0.
-1, 1
Suppose -4*j - 2 = -14. Factor -j*m - 2*m - 4 - 40*m**2 + 3*m + 56*m**2 - 10*m**3.
-2*(m - 1)**2*(5*m + 2)
Let s = -121/20 - -153/20. Factor -2/5*p**4 + 2/5*p**2 - 16/5*p - 2/5*p**5 + 2*p**3 + s.
-2*(p - 1)**3*(p + 2)**2/5
Let u(a) be the third derivative of a**5/540 + 11*a**4/108 - 23*a**3/54 + 248*a**2. Determine s, given that u(s) = 0.
-23, 1
Let c(r) be the second derivative of 5*r**6/6 - 7*r**5 + 55*r**4/4 + 15*r**3 - 3*r + 7. Suppose c(q) = 0. What is q?
-2/5, 0, 3
Let a(r) be the third derivative of 0*r - 1/210*r**5 + 1/21*r**3 + r**2 + 0 + 1/84*r**4 - 1/420*r**6. Solve a(z) = 0.
-1, 1
Suppose 76/9 + 8*u - 4/9*u**2 = 0. Calculate u.
-1, 19
Let 4/3*k**2 + 2/9*k**3 + 4/3 + 22/9*k = 0. Calculate k.
-3, -2, -1
Let s(h) be the second derivative of h**7/70 - h**6/10 + 3*h**5/20 + 17*h**2 - 19*h. Let p(v) be the first derivative of s(v). Determine a so that p(a) = 0.
0, 1, 3
Let g(n) be the third derivative of -n**9/504 - 5*n**8/1344 + n**7/84 + 11*n**4/24 - 7*n**2. Let u(c) be the second derivative of g(c). Factor u(h).
-5*h**2*(6*h**2 + 5*h - 6)
Let o = 9 - 6. Suppose -2*n**2 + 6*n**2 - o*n + 3*n - 4*n**4 = 0. Calculate n.
-1, 0, 1
Factor 10/13 - 18/13*q - 4/13*q**2.
-2*(q + 5)*(2*q - 1)/13
Let 4*q**2 + 16*q + 16 - 20*q**4 + 18*q + 4615*q**3 - 2*q - 4643*q**3 - 4*q**5 = 0. What is q?
-2, -1, 1
Find f, given that -454/9*f - 40/3 - 13*f**2 + 7/9*f**3 = 0.
-3, -2/7, 20
Let h(s) = s - 8. Let q be h(5). Let v = 7 + q. Let v*o - o**2 - 4*o + 0*o = 0. What is o?
0
Let y(j) be the second derivative of j**7/840 + 7*j**6/480 + j**5/30 - j**4/6 - 3*j**2/2 + 10*j. Let n(w) be the first derivative of y(w). Factor n(m).
m*(m - 1)*(m + 4)**2/4
Let a(u) = u**2 - 7*u - 20. Let t be a(11). Suppose -z - 5*l - 7 + t = 0, 12 = 3*z + 2*l. Factor 0*c + 2/5*c**z - 8/5.
2*(c - 2)*(c + 2)/5
Let q be (3 - 0/(-4)) + 292/(-4). Let g = 281/4 + q. Factor 0*z - g*z**2 + 0.
-z**2/4
Let s(l) be the third derivative of l**6/60 + l**5/2 - 11*l**4/4 + 17*l**3/3 - 22*l**2 + l. Let s(o) = 0. Calculate o.
-17, 1
Suppose -6*p = -18*p + 9*p. Let f(u) be the second derivative of -3/5*u**5 + 3/4*u**4 + 2*u**3 + 1/10*u**6 + 6*u - 6*u**2 + p. Factor f(d).
3*(d - 2)**2*(d - 1)*(d + 1)
Let z(x) = -8*x**2 + 36*x - 53. Let h(j) = -12*j**2 + 52*j - 80. Let i(p) = 5*h(p) - 8*z(p). Factor i(u).
4*(u - 6)*(u - 1)
Factor -4*o**3 + 14*o**5 - 4*o**2 - 18*o**5 + 4*o**4 + 8*o**3.
-4*o**2*(o - 1)**2*(o + 1)
Let h(s) be the third derivative of s**7/105 - 7*s**5/30 + s**4/2 - 393*s**2. Determine c, given that h(c) = 0.
-3, 0, 1, 2
Let u(x) be the second derivative of x**7/21 + 2*x**6/3 + 3*x**5/5 - 16*x**4/3 - 47*x**3/3 - 18*x**2 + 5*x - 2. Factor u(q).
2*(q - 2)*(q + 1)**3*(q + 9)
Let r(o) be the third derivative of o**7/105 + o**6/10 - 7*o**5/30 - 4*o**4 - 12*o**3 - 98*o**2 - 2*o. Determine b, given that r(b) = 0.
-6, -2, -1, 3
Let m be (-84)/(-98)*(-2 + 60/9). Let j(n) be the first derivative of -2*n**2 - 1/2*n**m + 0*n - 2*n**3 + 5. Factor j(f).
-2*f*(f + 1)*(f + 2)
Let j(y) = y**3 + 4*y**2 + 4*y + 2. Let x be j(-4). Let h(q) = q**2 + 14*q + 4. Let d be h(x). Factor -4*r**2 - d*r**3 + r - 9*r - r**2 - 7*r**2.
-4*r*(r + 1)*(r + 2)
Suppose -156 = -5*t - 34*t. Let q(j) be the second derivative of 1/24*j**3 - 7*j + 9/80*j**5 - 1/8*j**t + 0 + 0*j**2. Let q(d) = 0. What is d?
0, 1/3
Let u = -5145/11 - -36037/77. Solve -u*s**2 - 8/7 - 8/7*s = 0.
-2
Let d = 6676 - 13347/2. Suppose -d*l**2 + 2*l + 0 + 1/2*l**3 = 0. What is l?
0, 1, 4
Suppose r + 5*a = 20, 3*r + 99*a = 100*a - 4. Let i(w) be the second derivative of -5/24*w**4 + r*w**2 + 0 - 5/4*w**3 + 6*w. Let i(x) = 0. Calculate x.
-3, 0
Let b = 6 - 0. Suppose -2*s - 10 = -7*s. Factor 4*c**2 + c**3 + c**3 - b*c**s.
2*c**2*(c - 1)
Let o = 296/7 - 335/21. Let g = o - 155/6. Determine d so that -1 - 1/2*d + g*d**2 = 0.
-1, 2
Let j(f) = -2*f**3 - 18*f**2 - 10*f + 48. Let o(z) = 5*z**3 + 53*z**2 + 31*z - 144. Let u(t) = -17*j(t) - 6*o(t). Let u(q) = 0. Calculate q.
-2, 2, 3
Suppose 14*m - 3*t - 100 = 10*m, 5*m - 4*t - 126 = 0. Let s = -12 - -17. Solve 22*c - c**3 + c**s - m*c + 2*c**4 - c**4 - c**2 = 0.
-1, 0, 1
Let k(w) be the third derivative of w**3 + 1/105*w**7 + 0*w + 1/6*w**4 - 12*w**2 - 1/30*w**6 + 0 - 2/15*w**5. Solve k(q) = 0.
-1, 1, 3
Let x = 41 + -38. Let p be (-2 + 4)*39/6 + x. What is n in 0 - 26/3*n**2 - 6*n**4 + p*n**3 + 4/3*n = 0?
0, 1/3, 2
Let h(m) be the first derivative of -m**3/6 - 13*m**2/8 - 9*m/2 + 464. Let h(j) = 0. Calculate j.
-9/2, -2
Let n(g) be the first derivative of g**8/1400 - 11*g**7/6300 + g**6/1350 + 6*g**3 + 8. Let m(k) be the third derivative of n(k). Factor m(c).
2*c**2*(c - 1)*(9*c - 2)/15
Let q(a) be the first derivative of 5*a**6/6 - 5*a**5 - 15*a**4/2 + 160*a**3/3 + 80*a**2 + 15. Factor q(u).
5*u*(u - 4)**2*(u + 1)*(u + 2)
Factor 20/3 - 25/3*s**2 + 5/3*s**4 + 5*s - 5*s**3.
5*(s - 4)*(s - 1)*(s + 1)**2/3
Let o(i) be the third derivative of -i**6/40 + 17*i**5/20 + 9*i**4/4 - 156*i**2. Factor o(b).
-3*b*(b - 18)*(b + 1)
Let j = 256 + -96. Let z = 163 - j. Find y such that -3/8*y**2 + z*y - 6 = 0.
4
Find h such that 275*h**2 + 10*h**4 + 20*h**4 - 12*h**3 - 32*h**4 + 16*h - 267*h**2 + 2*h**5 = 0.
-2, -1, 0, 2
Let z = -38 + 54. Suppose z = 5*b + 1. Determine s, given that -b*s**5 + 2*s**3 + 4*s**5 - 4*s**4 + s**5 = 0.
0, 1
Let m(v) be the second derivative of v**5/4 - 20*v**4/3 - 175*v**3/6 - 45*v**2 + 21*v + 2. Factor m(q).
5*(q - 18)*(q + 1)**2
Suppose 30*s - 33*s = 84. Let a = s - -37. Suppose 0*i**3 - a*i**4 - 5*i**5 - i**4 - 5*i**3 = 0. What is i?
-1, 0
Let k(a) be the third derivative of -a**8/840 + a**7/560 + a**6/720 - 19*a**3/6 - 6*a**2. Let b(f) be the first derivative of k(f). Find s such that b(s) = 0.
-1/4, 0, 1
Let l(r) be the second derivative of 1/120*r**6 + 0*r**5 + 4*r + r**2 + 0 + 0*r**3 + 0*r**4. Let y(t) be the first derivative of l(t). Factor y(v).
v**3
Let h(j) be the second derivative of -2*j**6/15 + 63*j**5/80 - 5*j**4/4 - j**3/6 - 36*j. Factor h(g).
-g*(g - 2)**2*(16*g + 1)/4
Let c(p) be the third derivative of -2/15*p**5 + 1/2*p**3 + 0*p + 1/2*p**4 + 1/90*p**6 + p**2 + 0. Let w(q) be the first derivative of c(q). Factor w(k).
4*(k - 3)*(k - 1)
Let p be (-10)/6 - 3286/(-954). Determine q so that -2/9*q**3 - 10/9*q**2 - 8/9 - p*q = 0.
-2, -1
Let s(k) be the third derivative of -k**8/3024 + k**7/630 + k**6/180 - k**5/54 - 7*k**4/72 - k**3/6 + 25*k**2 - 3*k. Factor s(u).
-(u - 3)**2*(u + 1)**3/9
Suppose 4*r = 3*y - 25, 3*y + 4*r = -9 + 2. Let c be (-2)/(-8) - (-6)/40. Determine k so that -2/5*k**y + 0 - 6/5*k**2 - c*k + 6/5*k**4 + 4/5*k**5 = 0.
-1, -1/2, 0, 1
Let d(j) = -j**3 - 12*j**2 + 28*j + 4. Let h be 40/(-3) + (-10)/15. Let f be d(h). Solve 0 + 3/2*b**f + 0*b + 1/2*b**5 + 1/2*b**2 + 3/2*b**3 = 0.
-1, 0
Let c(m) = m**2 - 6*m + 10. Let w be c(5). Let b(k) = -4 - k**2 - 1 + w. Let p(d) = -10*d**2 - 6*d + 4. Let t(o) = 12*b(o) - p(o). Factor t(y).
-2*(y - 2)*(y - 1)
Determine s, given that 2*s**2 - 6*s**2 - 429*s**3 + 428*s**3 = 0.
-4, 0
Suppose -37 = -2*p - 5*s - 11, -p - 4*s + 19 = 0. Suppose 7*m**p + 60*m**3 + 120*m - 75*m**2 + 58*m**3 - 20 - 150*m**2 = 0. Calculate m.
2/5, 1
Let u(m) be the second derivative of -m**6/15 + m**5/5 - m