 1/6*c**4. Let f(a) be the third derivative of g(a). Factor f(r).
4*(r + 1)**2
Let g(p) be the third derivative of 0*p**4 + 0*p**3 - 1/112*p**8 + 0 - 1/35*p**7 + 0*p - 1/40*p**6 + 0*p**5 - 9*p**2. Factor g(j).
-3*j**3*(j + 1)**2
Let h = 17 - 17. Suppose 6 = 2*d - h. Suppose 4*f**2 - 3*f**2 + f + 0*f**d - 3*f + f**3 = 0. Calculate f.
-2, 0, 1
Let a(n) be the first derivative of -3*n**5/5 + 9*n**4/4 + 9*n**3 + 15*n**2/2 - 121. Factor a(y).
-3*y*(y - 5)*(y + 1)**2
Let t(i) be the second derivative of -i**9/75600 + i**8/33600 + i**7/12600 - i**6/3600 + 2*i**4/3 + 13*i. Let n(j) be the third derivative of t(j). Factor n(z).
-z*(z - 1)**2*(z + 1)/5
Factor 5371238/9 + 278/3*d**2 + 38642/3*d + 2/9*d**3.
2*(d + 139)**3/9
Let j = 625 - 620. Factor 0*s - 4/5*s**3 - 4/5*s**j + 8/5*s**4 + 0*s**2 + 0.
-4*s**3*(s - 1)**2/5
Let 1/3*p**3 + 0 + 1/3*p**2 + 0*p = 0. Calculate p.
-1, 0
Let x(a) be the first derivative of 38 + 2/27*a**3 - 4/3*a**2 + 0*a. Let x(v) = 0. What is v?
0, 12
Suppose -67*j + 63*j + 56 = 0. What is l in 100*l**2 + j + 7 + 9 - 20 + 65*l = 0?
-2/5, -1/4
Let i = 14/65 - -23/195. Factor -1/3 + z - z**2 + i*z**3.
(z - 1)**3/3
Let p(c) be the first derivative of 2*c**5/15 - 22*c**3/9 + 6*c**2 - 16*c/3 - 33. Find a such that p(a) = 0.
-4, 1, 2
Let c(n) be the third derivative of n**11/166320 - n**10/37800 + n**9/30240 - 3*n**5/10 - 11*n**2. Let g(s) be the third derivative of c(s). Factor g(v).
2*v**3*(v - 1)**2
Let i = 242/15 - 439/30. Factor -1 + i*h**3 - 4*h**2 + 7/2*h.
(h - 1)**2*(3*h - 2)/2
Let p(b) be the second derivative of -1/5*b**5 + 2/21*b**7 + 0*b**2 - 2/15*b**6 - 16*b + 0 + 0*b**3 + 1/3*b**4. Factor p(l).
4*l**2*(l - 1)**2*(l + 1)
Let g(z) be the second derivative of -7/12*z**3 - 1/15*z**6 - 13/40*z**5 - 13*z - 5/8*z**4 + 0 - 1/4*z**2. Solve g(h) = 0.
-1, -1/4
Let w(n) be the first derivative of -n**3/3 - n**2/2 + n - 12. Let h(m) = -7*m**2 - 8*m + 8. Let o(v) = 3*h(v) - 24*w(v). Let o(t) = 0. Calculate t.
0
Suppose 6 = 5*b - 14. Suppose -3*x + b = -2. Factor -2*m**5 - 2*m + 7*m**4 + m**4 + 6*m**x - 12*m**3 + 8*m**2 - 6*m**2.
-2*m*(m - 1)**4
Let a(c) be the first derivative of -c**3/9 - 31*c**2/3 - 961*c/3 - 35. Let a(h) = 0. Calculate h.
-31
Let s be 4/(-10) - 153/(-420). Let g = s + 23/56. Factor 0 + 1/2*j**3 + g*j**2 - 1/8*j.
j*(j + 1)*(4*j - 1)/8
Let l(o) = -o**3 - 5*o**2. Let u be l(-5). Suppose -4*k + u*k = -16. Solve k*n + 8*n**2 - 5*n**2 - n**2 = 0.
-2, 0
Suppose 85*c + 531 = 262*c. Factor -1/4*a**4 + 1 - a**c + a - 3/4*a**2.
-(a - 1)*(a + 1)*(a + 2)**2/4
Factor 0*s**2 + 0 + 0*s + s**4 - s**3 - 1/4*s**5.
-s**3*(s - 2)**2/4
Let n(f) = -f**2 - 9*f + 13. Let i be n(-10). Suppose 0 = -2*z + z + i. Let -2*w**2 - w**2 - z + 3 + 3*w**4 = 0. What is w?
-1, 0, 1
Let k(q) be the second derivative of -q**7/147 - q**6/15 + 13*q**5/70 + 43*q**4/42 + 8*q**3/7 - 30*q - 6. Solve k(d) = 0 for d.
-8, -1, 0, 3
Let b = -742/9 + 5221/63. What is s in -6/7*s + b*s**2 + 3/7 = 0?
1
Let i = 2/109121 - -218236/327363. Factor -5/6*u - i - 1/6*u**2.
-(u + 1)*(u + 4)/6
Let m(h) = 5*h - 3. Let i be m(1). Let o be (-108)/30 - (i + -6). Factor -8/5*s + 8/5 + o*s**2.
2*(s - 2)**2/5
Suppose -3 = 2*v + 2*n - 13, 0 = 3*v - 2*n. Factor -5 - 1 + 4*t**v + 2*t**3 + 2 - 2*t.
2*(t - 1)*(t + 1)*(t + 2)
Let n(l) be the third derivative of -l**8/112 + l**7/14 + l**6/40 - 17*l**5/20 - 3*l**4/2 + 4*l**2 + 4. Find p, given that n(p) = 0.
-1, 0, 3, 4
Let u be (-356)/(-574) + 744/(-15252). Factor 0 + 2/7*y**3 + 0*y + u*y**2.
2*y**2*(y + 2)/7
Let h = -1679/488 - -4/61. Let r = h + 29/8. Let -1/4*i**2 - r*i**4 + 1/2*i**3 + 0*i + 0 = 0. What is i?
0, 1
Let z(u) = -u**3 + 1. Let v(m) = -19 + 0*m**2 + m**2 + 3*m**3 + 15. Let t(h) = -3*v(h) - 12*z(h). Factor t(f).
3*f**2*(f - 1)
Factor 1/8*u**3 + 36*u - 33/8*u**2 - 32.
(u - 16)**2*(u - 1)/8
Let a(m) be the third derivative of 12/5*m**5 + 1/70*m**7 + 0*m**3 + 0 + 8*m**4 + 0*m + 3/10*m**6 - 3*m**2. Find r such that a(r) = 0.
-4, 0
Let o be ((-10)/20*5)/(-1). Factor o*h**2 - 10/3*h + 5/6.
5*(h - 1)*(3*h - 1)/6
Suppose 24*y = 13*y - 21*y + 128. Determine g, given that 0 + 4*g + 1/4*g**5 - 10*g**2 - 5/2*g**y + 33/4*g**3 = 0.
0, 1, 4
Suppose -12*g + 4543 = 4543. Factor -1/7*r**3 + g + 0*r + 0*r**2.
-r**3/7
Let 46/3*v**2 - 4/9*v + 146/9*v**3 + 0 - 142/9*v**5 - 46/3*v**4 = 0. What is v?
-1, 0, 2/71, 1
Suppose 6*f - 10*f + 4*t = -4, 0 = -4*f + 5*t + 6. Let k be 1*f - ((0 - 6) + 5). Factor 1/3*y**3 + k + 0*y + 0*y**2.
y**3/3
Let z(g) be the third derivative of g**6/360 - 91*g**5/180 + 235*g**4/8 - 225*g**3/2 + 225*g**2. Find r such that z(r) = 0.
1, 45
Suppose 3*m - 37 = -2*a, 4*a + m + 13 = 102. Suppose -c = y - 6, 0 = -5*c - 0*y + 2*y + a. Factor -5*u**3 + 6 - c - 4 + 5*u**2 + 5*u - 2.
-5*(u - 1)**2*(u + 1)
Let r(x) be the second derivative of -2*x**4/27 - 19*x**3/27 + 5*x**2/9 - 5*x - 4. Find s such that r(s) = 0.
-5, 1/4
Factor -1536/11 - 6/11*x**2 - 192/11*x.
-6*(x + 16)**2/11
Let d = -57/17 - -421/85. Solve 4/5*p**2 - 12/5 + d*p = 0.
-3, 1
Let r(j) be the third derivative of -j**5/30 + 13*j**4/4 - 38*j**3/3 + 558*j**2. Factor r(f).
-2*(f - 38)*(f - 1)
Let o(n) = 20*n**2 - 12*n - 20. Let m(g) = 23*g**2 - 13*g - 20. Let a(t) = 6*m(t) - 7*o(t). What is c in a(c) = 0?
-2, 5
Let u(z) be the third derivative of -2/33*z**3 + 4/165*z**5 + 1/220*z**6 + 0*z + 1/44*z**4 - 42*z**2 + 0. Find c such that u(c) = 0.
-2, -1, 1/3
Let p(a) be the third derivative of -a**7/2100 - a**6/225 - a**5/300 + a**4/10 + 11*a**3/6 - 28*a**2. Let q(f) be the first derivative of p(f). Factor q(s).
-2*(s - 1)*(s + 2)*(s + 3)/5
Let v(k) = -5*k - 102. Let b be v(-21). Let -1/4*n - 1/4*n**5 + 1/4 + 1/4*n**4 + 1/2*n**b - 1/2*n**2 = 0. What is n?
-1, 1
Let x be 10/5*(-279)/(-18). Suppose 28*q - x*q + 9 = 0. Find k, given that -2/5 + 1/5*k**q + 0*k**2 - 3/5*k = 0.
-1, 2
Let p(s) = -s**4 + s**4 - 4*s**3 + 3*s**4 - 9*s**2 + 6*s**4. Let d(m) = 10*m**4 - 5*m**3 - 10*m**2. Let l(k) = -4*d(k) + 5*p(k). Factor l(q).
5*q**2*(q - 1)*(q + 1)
Factor 14/3*y**4 + 20*y**3 + 1/3*y**5 + 0 + 50/3*y**2 - 125/3*y.
y*(y - 1)*(y + 5)**3/3
Let a(x) = x**3 + x. Let k be a(0). Let t be 1/(-3) + 14/6. Suppose -3*v**t - v**2 + k*v + 2*v + v**3 + v**3 = 0. What is v?
0, 1
Let i(o) be the third derivative of o**6/60 - 4*o**5/15 - o**4/12 + 8*o**3/3 + 2*o**2 - 16. Determine h, given that i(h) = 0.
-1, 1, 8
Let c(s) be the second derivative of s**4/78 + 2*s**3/3 + 25*s**2/13 - 430*s. Factor c(y).
2*(y + 1)*(y + 25)/13
Solve 2/9*w**3 + 32/3 + 88/9*w + 8/3*w**2 = 0 for w.
-6, -4, -2
Suppose -392 = -3*t - 4*q, 0 = 2*t + 2*q - 141 - 123. Let v be ((-459)/t)/(3/(-4)). Find b such that -7/2*b**4 + v*b**2 - 1 + 5/2*b - 5/2*b**3 = 0.
-1, 2/7, 1
Suppose -54 = -3*n - 12. Suppose 134*k**4 - 6*k + 150*k**4 + n*k + 76*k**2 + 112*k**5 + 240*k**3 = 0. Calculate k.
-1, -2/7, -1/4, 0
Let i(p) = 465*p - 4185. Let t be i(9). Suppose -3/7*d**3 - 3/7*d**2 + t*d + 0 = 0. What is d?
-1, 0
Let j(n) be the second derivative of -2*n**6/3 - 75*n**5 - 28865*n**4/12 - 4625*n**3 - 6845*n**2/2 - 22*n. Let j(m) = 0. What is m?
-37, -1/2
Suppose 752/7*r**3 - 16*r**4 - 196*r**2 + 552/7*r + 288/7 = 0. What is r?
-2/7, 3/2, 4
Let t(i) be the second derivative of -i**5/120 - 17*i**4/72 + i**3/2 - 3*i + 15. Suppose t(u) = 0. What is u?
-18, 0, 1
Let n(d) be the second derivative of 3*d**7/77 + 19*d**6/55 + 17*d**5/22 - 5*d**4/66 - 34*d**3/33 + 8*d**2/11 - 13*d - 2. What is b in n(b) = 0?
-4, -2, -1, 1/3
Let k(g) be the second derivative of -g**4/28 + g**3/7 - 3*g**2/14 - 94*g. What is m in k(m) = 0?
1
Let q(n) = -n - 14. Let h be q(-7). Let o = 16 + h. Suppose -5 - 7*a - 4*a + 3*a + 4*a**2 + o = 0. What is a?
1
Let d = 220/17 + -1066/85. Find j, given that -d*j**2 + 0*j + 0 - 2/5*j**4 + 4/5*j**3 = 0.
0, 1
Let k be (-49)/5 - 4/20. Let b be -3*(k/14 + 12/(-42)). What is m in 6/11*m**2 - 2/11*m**b + 2/11 - 6/11*m = 0?
1
Suppose 27*l - 12*l - 14*l = 0. Let f(v) be the first derivative of -1/15*v**5 + 0*v**4 + 0*v**2 - 5 + 1/9*v**3 + l*v. Factor f(b).
-b**2*(b - 1)*(b + 1)/3
Let v(x) be the second derivative of 63*x**5/4 - 1495*x**4/6 - 790*x**3/3 - 100*x**2 + 2*x - 305. Determine o so that v(o) = 0.
-2/7, -2/9, 10
Let b(i) = -i**4 + 7*i**3 - 8*i**2 - i + 3. Let g = -30 - -33. Let v(r) = r**3 - r**2 - r + 1. Let w(k) = g*v(k) - b(k). Factor