*2 + h**5 = 0. What is h?
-3, -2, 0, 1/3, 1
Let c(v) be the third derivative of v**5/60 - 3*v**4/2 - 38*v**3/3 - 386*v**2. Find d, given that c(d) = 0.
-2, 38
Factor -356/5*f + 176/5 + 184/5*f**2 - 4/5*f**3.
-4*(f - 44)*(f - 1)**2/5
Let w(y) be the third derivative of 1/40*y**4 + 0 + 10*y**2 + 0*y**3 + 3/100*y**5 + 0*y + 3/200*y**6 + 1/350*y**7. Find b such that w(b) = 0.
-1, 0
Let s(q) = q**3 + 10*q**2 + 2. Let i be s(-10). Solve -3*p**i - 4 - 9*p**2 - 4*p**3 + 4 = 0.
-3, 0
Find f such that 4232/9*f**4 + 0 - 3680/9*f**3 - 2*f - 178/3*f**2 = 0.
-3/46, 0, 1
Factor -2*n**3 - n**3 + 10*n**2 - 12*n**2 + 0*n**2 + n.
-n*(n + 1)*(3*n - 1)
Let s(q) be the first derivative of -q**6/90 + q**5/10 + 2*q**4/3 - 3*q**3 - 12. Let u(a) be the third derivative of s(a). Solve u(m) = 0 for m.
-1, 4
Let s(z) = -z**2 - 6*z + 3. Let y be s(0). Let f be (-12)/15*y/(-6). Solve 0 - f*l**4 - 2/5*l**3 + 0*l + 0*l**2 = 0.
-1, 0
Let y(r) = -r**3 - 12*r**2 - 9*r + 25. Let c be y(-11). Suppose 3*u = 2*u - c, 2*u + 6 = 5*z. Factor -3*x**4 + 0*x + 0*x**2 + 3/2*x**5 + z + 3/2*x**3.
3*x**3*(x - 1)**2/2
Let o(v) be the second derivative of v**5/45 + 10*v**4/3 + 200*v**3 + 6000*v**2 + 135*v. Let o(p) = 0. Calculate p.
-30
Let g(x) be the first derivative of 1089*x**4/32 - 517*x**3/12 + 20*x**2 - 4*x + 29. Suppose g(f) = 0. Calculate f.
2/9, 4/11
Let x(y) be the third derivative of 0 + 1/40*y**6 + 2*y + 0*y**4 - 2*y**2 - 3/20*y**5 + 1/42*y**7 + 1/336*y**8 + 0*y**3. Factor x(a).
a**2*(a - 1)*(a + 3)**2
Let d(i) be the first derivative of -1/5*i**5 - 7/2*i**2 + i**3 - 6*i - 13 + 3/4*i**4. Factor d(r).
-(r - 3)*(r - 2)*(r + 1)**2
Let l(k) be the third derivative of k**6/40 - 27*k**5/10 + 105*k**4/8 - 26*k**3 + 127*k**2. Factor l(t).
3*(t - 52)*(t - 1)**2
Let q(k) be the first derivative of 1/140*k**5 + 7 + 0*k - 1/28*k**4 + 1/14*k**3 + 2*k**2. Let s(c) be the second derivative of q(c). Factor s(u).
3*(u - 1)**2/7
Factor 0 - 3*n + 4/3*n**3 - 3*n**2.
n*(n - 3)*(4*n + 3)/3
Let v(u) be the second derivative of 0*u**4 + 0*u**3 + 1/10*u**5 - 1/21*u**7 + 9*u + 0*u**2 + 0*u**6 + 0. Determine f, given that v(f) = 0.
-1, 0, 1
Let h be (42/24 - 2)*-1. Suppose 1/2*p**2 + 3/4*p - h*p**3 + 0 = 0. What is p?
-1, 0, 3
Suppose -4/3*w**2 - 32*w - 92/3 = 0. What is w?
-23, -1
Let r(c) be the second derivative of -c**8/2240 - c**7/280 - c**6/120 - c**3 + 8*c. Let m(q) be the second derivative of r(q). Factor m(n).
-3*n**2*(n + 2)**2/4
Let k(y) be the second derivative of 4*y**3 + 18*y**2 + 0 + 1/3*y**4 + 10*y. Factor k(m).
4*(m + 3)**2
Let l(p) be the second derivative of -17*p**4/72 - 37*p**3/18 - 2*p**2 + 3*p + 66. Factor l(n).
-(n + 4)*(17*n + 6)/6
Let b(s) be the second derivative of -2*s**6/135 - 2*s**5/15 - s**4/9 + 20*s**3/27 - s + 2. Factor b(l).
-4*l*(l - 1)*(l + 2)*(l + 5)/9
Suppose 20 = -2*z - 4*k, -k + 5*k + 20 = 4*z. Let g be ((-160)/35 + 5)/(16/56). What is b in -g*b**2 + 0 + 9/4*b**5 + 3*b**4 + z*b - 3/4*b**3 = 0?
-1, 0, 2/3
Let o(t) be the second derivative of -t**8/8400 + t**7/4200 - 7*t**3/6 - 7*t. Let u(f) be the second derivative of o(f). Factor u(w).
-w**3*(w - 1)/5
Let c(z) be the first derivative of 0*z**5 - 43 - 1/21*z**6 + 3/7*z**2 + 3/7*z**4 - 16/21*z**3 + 0*z. Factor c(i).
-2*i*(i - 1)**3*(i + 3)/7
Let o(y) = 4*y**2 + 3*y - 2. Let g be o(1). Factor k**5 - 3*k**4 - k - 2*k + 1 + 7*k**3 + 2*k**2 - g*k**3.
(k - 1)**4*(k + 1)
Let y(p) be the second derivative of -3*p**5/160 + p**4/16 + 13*p**3/16 + 15*p**2/8 + 8*p + 2. Factor y(f).
-3*(f - 5)*(f + 1)*(f + 2)/8
Let -7*c - 5*c - 2*c**4 - 16*c + 48*c**2 + 38*c**3 - 44*c**3 - 28*c = 0. Calculate c.
-7, 0, 2
Let y = 221364/30989 - 2/4427. Factor y - 20/7*k + 2/7*k**2.
2*(k - 5)**2/7
Let f be 2*2/8*2. Let o be (0 - f/(-3))*2/2. Factor -1/3 - 2/3*k - o*k**2.
-(k + 1)**2/3
Let j(h) be the third derivative of h**7/70 + h**6/20 - 3*h**5/5 + 7*h**4/4 - 5*h**3/2 + 5*h**2. Determine f, given that j(f) = 0.
-5, 1
Let g(f) be the second derivative of f**5/20 - f**4/3 - 5*f**3/2 + 9*f**2 - 2*f - 76. Let g(z) = 0. Calculate z.
-3, 1, 6
Let n(i) be the second derivative of 68/3*i**4 + 75/7*i**7 - 16/3*i**3 - 16*i**2 + 8/5*i**5 + 25*i + 0 - 23*i**6. Solve n(d) = 0 for d.
-2/5, 2/3, 1
Let g(a) be the second derivative of -a**6/45 - 17*a**5/150 + 7*a**4/45 + 68*a**3/45 + 8*a**2/5 + 632*a. Solve g(o) = 0.
-3, -2, -2/5, 2
Let n(r) be the first derivative of -2/15*r**3 + 2/25*r**5 + 0*r + 2/5*r**2 - 1/5*r**4 - 7. Factor n(o).
2*o*(o - 2)*(o - 1)*(o + 1)/5
Let b(v) be the second derivative of 0*v**2 + 0*v**3 - 1/30*v**4 + 11*v + 0. Determine d, given that b(d) = 0.
0
Let p = 154 - 126. Let u be ((45/6)/(-5))/((-21)/p). Factor 0 - 4/3*o**u - 2/3*o**3 + 2/3*o**4 + 0*o.
2*o**2*(o - 2)*(o + 1)/3
Factor 0 + 24/11*q**3 + 0*q**2 - 24/11*q**4 + 0*q + 6/11*q**5.
6*q**3*(q - 2)**2/11
Let z(u) be the second derivative of 1/105*u**7 - 4/75*u**6 - 18*u + 0 + 0*u**2 + 1/15*u**3 + 3/25*u**5 - 2/15*u**4. Let z(p) = 0. Calculate p.
0, 1
Let o = -2/221 - -10841/1326. Let i(u) be the first derivative of -1 - 2*u - 7*u**2 - o*u**3. Find k such that i(k) = 0.
-2/7
Let s(h) be the third derivative of -h**10/10080 + h**8/1120 - h**6/240 - 7*h**4/24 - 11*h**2. Let y(c) be the second derivative of s(c). Factor y(a).
-3*a*(a - 1)**2*(a + 1)**2
Solve 0*b + 24/5*b**2 + 0 - 14/3*b**3 - 2/15*b**4 = 0.
-36, 0, 1
Let u = -28 + 50. Solve 6*p**2 + 20*p**3 + 4 - u*p**3 - 5 - 7 = 0 for p.
-1, 2
Let n(q) be the second derivative of -q**4/60 + q**3/15 + 3*q**2/2 + 2*q + 22. Determine l, given that n(l) = 0.
-3, 5
Let z(t) be the first derivative of 4*t**5/35 - 4*t**4/7 + 20*t**3/21 - 4*t**2/7 - 122. Find r, given that z(r) = 0.
0, 1, 2
Let c(m) be the first derivative of 0*m**2 + 3/20*m**5 + 0*m**3 - 1/2*m**4 - 6 - 7*m. Let u(s) be the first derivative of c(s). Factor u(g).
3*g**2*(g - 2)
Let d(q) be the first derivative of q**6/720 + q**5/40 + 5*q**4/48 + 20*q**3/3 + 12. Let m(v) be the third derivative of d(v). Factor m(l).
(l + 1)*(l + 5)/2
Suppose -10*o**2 + 32/5*o + 24/5 + 14/5*o**3 = 0. Calculate o.
-3/7, 2
Let s be (-532)/(-95) - (4/(-10) + 0). Let z(c) be the first derivative of 4/3*c**3 - c**4 - 2/5*c**5 - 5 - 2*c + 1/3*c**s + c**2. Solve z(o) = 0.
-1, 1
Suppose -5*n - 2 = 2*g, -2*g = 3*g + n - 41. Let d be 3/6 + g/6. Factor -10*w**2 - 2 + d*w + 0*w + 2.
-2*w*(5*w - 1)
Suppose -3*w - 4*j - 8 = 0, 0 = 5*w + 2*j + 7 - 3. Suppose 0 = -q - w*q. Solve q + 1/5*d**2 - 2/5*d = 0.
0, 2
Let n(g) be the first derivative of 5/2*g**2 - 29 + 0*g**3 - 5/4*g**4 + 0*g. Factor n(v).
-5*v*(v - 1)*(v + 1)
Let s(c) be the second derivative of -c**7/126 - c**6/6 - 6*c**5/5 - 26*c**4/9 + 8*c**3/3 + 24*c**2 + 224*c. Let s(n) = 0. Calculate n.
-6, -2, 1
Let d = 4740/7 + -23679/35. Find g, given that d*g - 1/5*g**3 + 0*g**2 - 2/5 = 0.
-2, 1
Let v(p) be the second derivative of -3*p**5/16 + 13*p**4/16 + 3*p**3/4 - p - 17. Find g, given that v(g) = 0.
-2/5, 0, 3
Let v(g) = 8*g**2 - 1684*g + 19016. Let b(o) = -o**2 + 187*o - 2113. Let m(w) = 28*b(w) + 3*v(w). Factor m(n).
-4*(n - 23)**2
Factor -141*i**2 - 100 - 2250*i**3 - 3*i**4 + 5*i**4 + 2228*i**3 - 3*i**4 - 220*i.
-(i + 1)**2*(i + 10)**2
Let w be (((-6)/4)/(-3) - (-247)/(-988))*2. Factor w*g - 1 + 1/2*g**2.
(g - 1)*(g + 2)/2
Suppose 21*k = 18*k. Let t(m) be the second derivative of 0*m**2 - 2*m + 1/15*m**4 + k*m**5 - 1/105*m**7 + 1/15*m**3 + 0 - 2/75*m**6. Factor t(g).
-2*g*(g - 1)*(g + 1)**3/5
Let -20*o**2 + 5*o**4 + 45*o**2 - 24 - 25*o - 6 + 25*o**3 = 0. Calculate o.
-3, -2, -1, 1
Let n(q) be the second derivative of q**8/504 - 2*q**7/315 + 6*q**2 - 12*q. Let w(j) be the first derivative of n(j). Solve w(u) = 0.
0, 2
Let b(q) be the first derivative of q**6/80 + q**5/16 - q**4/8 + 4*q**3/3 + q - 29. Let s(p) be the third derivative of b(p). Let s(c) = 0. What is c?
-2, 1/3
Let r(y) = 2*y**3 - 6*y**2 - 36*y + 2. Let p(g) = -3*g**3 + 11*g**2 + 74*g - 5. Let f(b) = 2*p(b) + 5*r(b). Factor f(v).
4*v*(v - 4)*(v + 2)
Let l(k) be the first derivative of k + 14 - 1/3*k**3 - 1/16*k**4 + 1/8*k**2. Factor l(z).
-(z - 1)*(z + 1)*(z + 4)/4
Suppose -3*s + 7*s - 8 = 0. Suppose -3*r + 5 = -s*r. Factor -q**4 - 10*q**2 - q**4 + 2*q**5 + 2*q**r + 1 - 13*q**4 + 20*q**3.
(q - 1)**4*(4*q + 1)
Let k = 25 + -25. Suppose t = -k + 3. Factor -t*q**3 + 3*q**2 + 2*q**2 + 2*q**3 +