+ d**3.
d**2*(d + 1)**2/2
Let a(d) be the second derivative of -11*d**5/120 + 13*d**4/72 - d**3/18 + 37*d. Let a(x) = 0. What is x?
0, 2/11, 1
Let a(i) be the first derivative of -i**2 - 112/45*i**5 + 13/9*i**4 - 49/27*i**6 + 0*i + 16/9*i**3 + 1. What is p in a(p) = 0?
-1, 0, 3/7
Let g(s) be the first derivative of s**6/300 + s**5/75 - s**4/60 - 2*s**3/15 - 5*s**2 - 5. Let p(y) be the second derivative of g(y). Factor p(c).
2*(c - 1)*(c + 1)*(c + 2)/5
Let f(v) be the first derivative of -5*v**3/3 + 170*v**2 - 5780*v - 49. Factor f(g).
-5*(g - 34)**2
Let d = -339 - -1381/4. Let -5/4*f**4 + 15/4*f**2 + 5/2 + 5/4*f**3 - d*f = 0. What is f?
-2, 1
Factor -292*v**2 + 15*v + 290*v**2 + 110 - 9*v + 6*v.
-2*(v - 11)*(v + 5)
Factor 85*p**3 - 5*p**4 + 0 + 480*p**2 + p**4 + 0 + 900*p + 9*p**4.
5*p*(p + 5)*(p + 6)**2
Let y be (-1270)/300 + 1/(-6). Let v = y - -31/5. Find z, given that 6/5*z + v*z**2 + 3/5*z**3 + 0 = 0.
-2, -1, 0
Let d(n) be the third derivative of n**6/660 - 7*n**5/330 - 17*n**4/132 - 3*n**3/11 - 421*n**2. Factor d(g).
2*(g - 9)*(g + 1)**2/11
Let q = 327 - 1627/5. Let t(c) be the first derivative of q*c**3 - 5 + 1/2*c**4 + 0*c + 4/5*c**2. Factor t(s).
2*s*(s + 2)*(5*s + 2)/5
Let b = 21933 + -21931. Factor 0 + 0*m**4 + 12/7*m**3 + 8/7*m**b - 4/7*m**5 + 0*m.
-4*m**2*(m - 2)*(m + 1)**2/7
Let u(s) be the first derivative of -s**4/4 + 8*s**3 - 72*s**2 - 188. Factor u(f).
-f*(f - 12)**2
Let h = -2406/55 - -490/11. Determine f, given that -12/5*f + 8/5 + h*f**2 = 0.
1, 2
Let o = -2/12719 + 12731/76314. Factor o - 1/6*q**2 + 0*q.
-(q - 1)*(q + 1)/6
Let c(v) be the second derivative of v**5/600 - v**4/80 - v**3/15 + 17*v**2/2 + 6*v. Let q(r) be the first derivative of c(r). Let q(m) = 0. What is m?
-1, 4
Let x be (6/4)/(((-255)/340)/(2/(-10))). Factor -x*b**4 + 4/5*b + 6/5*b**3 + 0 - 2/5*b**5 + 2*b**2.
-2*b*(b - 2)*(b + 1)**3/5
Suppose 11*h = 9*h. Suppose 0 = -f - h*f + 4. Factor s**3 - 12*s**4 + 0*s**3 + 5*s**3 - 9*s**f.
-3*s**3*(7*s - 2)
Factor 36/7*g**2 + 108/7 + 4/7*g**3 + 108/7*g.
4*(g + 3)**3/7
Suppose 2*i = 3 + 1. Let h = 143 + -141. Solve -h*q + 2 + 7*q + 16*q**i - 12*q**2 + q**3 = 0.
-2, -1
Suppose -4*r = -4*w + 4, 25*w = -5*r + 22*w + 19. Let z(c) be the second derivative of 0 + 2*c**r - 3*c - 1/12*c**4 - 1/2*c**3. Suppose z(g) = 0. Calculate g.
-4, 1
Find y, given that 50*y**5 - 8*y**4 + 1964*y**3 - 2012*y**3 + 32*y**2 - 22*y**4 = 0.
-1, 0, 4/5
Let i be (((-4)/(-32))/((-2)/16))/(-3). Suppose i*g**4 + 0*g**3 - 2*g**2 - 1 + 8/3*g = 0. Calculate g.
-3, 1
Let t(w) be the third derivative of 4*w**3 + 1/2*w**4 + 1/40*w**5 + 0 - 21*w**2 + 0*w. Factor t(v).
3*(v + 4)**2/2
Suppose -2 = -3*h - 2*w, -48*h + 45*h = -8*w - 22. Determine m, given that 0 + 1/3*m**h - 1/3*m**4 - 1/3*m + 1/3*m**3 = 0.
-1, 0, 1
Factor -22/9*h + 2/9*h**2 - 8/3.
2*(h - 12)*(h + 1)/9
Let m(q) be the second derivative of -q**6/2 - 9*q**5/5 + 21*q**4/4 + 20*q**3 + 18*q**2 - 2*q - 1. Solve m(k) = 0.
-3, -1, -2/5, 2
Let s = 921 - 921. Let y(g) be the second derivative of 0*g**3 + 2*g + 1/147*g**7 + 0*g**2 - 1/105*g**6 + 1/42*g**4 - 1/70*g**5 + s. What is z in y(z) = 0?
-1, 0, 1
Let g(b) = 401*b**2 - b + 2. Let h be g(1). Suppose v = 5*x + 148, 3*x + 42 = 3*v - h. Factor 173*s - 315 - v*s + 167*s + 4*s**3 + 59 - 48*s**2.
4*(s - 4)**3
Let -8/5*o**3 + 0 - 3/5*o**4 + 28/5*o + 23/5*o**2 = 0. Calculate o.
-4, -1, 0, 7/3
Let k(b) be the third derivative of 1/168*b**8 - 3/20*b**6 + 0*b - 1/105*b**7 - 4*b**3 + 0 + 1/6*b**5 + 4/3*b**4 - 34*b**2. Determine y so that k(y) = 0.
-2, 1, 3
Let y = -11 + 18. Suppose 2*c - 15*i + 2 = -17*i, -5*c = 2*i - y. Solve 0 - 4/5*v**4 + 4/5*v**2 + 2/5*v + 0*v**c - 2/5*v**5 = 0.
-1, 0, 1
Let z(o) be the first derivative of -o**3/24 + o**2/2 + 9*o/8 - 57. Determine s so that z(s) = 0.
-1, 9
Let m(b) be the second derivative of b + 3/20*b**5 + 0 + 0*b**3 + 1/20*b**6 + 1/8*b**4 + 0*b**2. Factor m(u).
3*u**2*(u + 1)**2/2
Let q(w) be the second derivative of -w**4/6 + w**3/3 + 6*w**2 - 22*w - 5. Factor q(c).
-2*(c - 3)*(c + 2)
Let n(j) be the third derivative of -j**5/12 + 10*j**4/3 - 160*j**3/3 - 14*j**2 - 1. Let n(u) = 0. Calculate u.
8
Let m(n) be the third derivative of -n**5/120 + 19*n**4/16 - 681*n**2. Determine h, given that m(h) = 0.
0, 57
Let u(h) = -h**2. Let d(v) = 6*v**2 + 7*v - 6. Let w(z) = d(z) + 5*u(z). Let g be w(-8). Factor -4*s**g + s**2 - s + 2*s**2.
-s*(s + 1)
Let q = 197701/150 + -1318. Let u(d) be the second derivative of 0 + 3/25*d**5 + q*d**6 + 3*d + 81/10*d**2 + 9/10*d**4 + 18/5*d**3. Find p, given that u(p) = 0.
-3
Let k be ((-4)/3)/((-76)/171). Let z(a) be the third derivative of 0*a + 0*a**k - 1/4*a**4 + 0 + 3*a**2 - 1/20*a**5. Factor z(t).
-3*t*(t + 2)
Factor -114*n**2 + 582/5*n - 12/5.
-6*(n - 1)*(95*n - 2)/5
Let n = -838 - -33523/40. Let i(c) be the third derivative of 5*c**2 + n*c**5 - 1/8*c**4 + 0*c + 1/16*c**6 + 0*c**3 + 0. Suppose i(s) = 0. Calculate s.
-1, 0, 2/5
What is y in 4*y**2 + 308 + 28*y - 136 - 148 = 0?
-6, -1
Let v(z) = -z**3 + 2*z**2 + 4*z + 1. Let h be v(3). Factor -h*t**4 - 40*t + 20 - 3*t**2 + 8*t**3 - t**4 + 18*t**2 + 2*t**3.
-5*(t - 2)*(t - 1)**2*(t + 2)
Let y = 11236 + -11233. Factor 0 + 6/7*p + 3*p**y + 1/7*p**5 - 19/7*p**2 - 9/7*p**4.
p*(p - 6)*(p - 1)**3/7
Suppose 21*h = 6*h - 7*h. What is m in 0*m - 2/11*m**3 + h - 2/11*m**2 = 0?
-1, 0
What is v in 8*v - 1 - 5*v**2 + 7 + 14 + 40*v = 0?
-2/5, 10
Suppose 0 = -4*u - 6 + 14. Factor i**4 - 207*i**2 + 5*i**3 + 33*i - 8 + 186*i**u - 10*i.
(i - 1)**3*(i + 8)
Let a be 2/4 + (-63)/252. Determine o so that -1/4*o**4 + a*o**2 + 0*o**3 + 0 - 1/8*o**5 + 1/8*o = 0.
-1, 0, 1
Let m = -1972 - -7889/4. Suppose 0*v - 5*v + 13 = u, -3*u - 3*v + 15 = 0. Factor 0 + m*i + 0*i**2 - 1/4*i**u.
-i*(i - 1)*(i + 1)/4
Suppose -f + r = 0, -3*f + 4 = 3*r - 26. Let d(c) be the third derivative of 1/9*c**4 - 1/9*c**3 - 1/30*c**f + 0*c + 2*c**2 + 0. Factor d(b).
-2*(b - 1)*(3*b - 1)/3
Let n(s) be the third derivative of 0*s**5 + 0*s**4 + 28*s**2 - 1/90*s**6 + 0*s + 0*s**3 + 0 - 1/210*s**7 + 1/1008*s**8. Factor n(b).
b**3*(b - 4)*(b + 1)/3
Let c(l) = -5*l - 1. Let v be c(-1). Solve 20*h**3 - v*h + 24*h + 32*h**2 + 3*h**4 + h**4 - 4*h = 0 for h.
-2, -1, 0
Let z(n) be the third derivative of -n**6/540 - n**5/270 + n**4/54 - 193*n**2. Factor z(x).
-2*x*(x - 1)*(x + 2)/9
Let w(m) = -3*m**2 + 14*m - 10. Let y(i) = -3*i**2 + 15*i - 9. Let o = 82 + -79. Let s(g) = o*w(g) - 2*y(g). Suppose s(h) = 0. What is h?
2
Let m(x) = 4*x**3 - 22*x**2 - 2*x + 126. Let n(j) = -j**2 + j + 1. Let l(c) = -m(c) - 2*n(c). Factor l(h).
-4*(h - 4)**2*(h + 2)
Let d be (-10)/4*36/(-45). Factor -2*m**2 - 6 + 0 + d*m + 5 + 5.
-2*(m - 2)*(m + 1)
Let z(u) be the second derivative of 7/6*u**4 + 0*u**2 + 48*u - 2/3*u**3 + 0. What is p in z(p) = 0?
0, 2/7
Let x be (6/8)/(5/(-8) + 1). Let n be (-1 + x)/((-36)/(-8)). Let -n*d**2 + 16/9*d - 32/9 = 0. Calculate d.
4
Let h(g) be the first derivative of -4/5*g**2 - 3 + 0*g + 2/5*g**5 + 32/15*g**3 - 17/10*g**4. Suppose h(u) = 0. Calculate u.
0, 2/5, 1, 2
Let w(j) be the first derivative of 25*j**4/4 - 65*j**3/3 + 10*j**2 + 20*j - 154. Solve w(d) = 0.
-2/5, 1, 2
Let k(i) = 4*i**2 + 4*i - 13. Suppose -2*z - z - 18 = 0. Let f(m) = 2*m**2 + 2*m + 2*m + 2*m**2 - 13 - 1. Let h(l) = z*k(l) + 5*f(l). Factor h(s).
-4*(s - 1)*(s + 2)
Let d(g) be the second derivative of -2/21*g**7 + 0*g**3 - 15*g + 1/5*g**5 + 0*g**2 - 4/15*g**6 + 2/3*g**4 + 0. Determine f, given that d(f) = 0.
-2, -1, 0, 1
Let g be (-43 - -28)/15*0. Factor 1/4*f**5 + 0*f + g + 0*f**2 - 7/4*f**3 - 3/2*f**4.
f**3*(f - 7)*(f + 1)/4
Let z be 12/(-42) + 184/7. Let x = -103/4 + z. Solve 1/2*d**2 - 1/4*d - 1/2 + x*d**3 = 0 for d.
-2, -1, 1
Let t be (-10)/(1 - -89) - 34/(-90). Let j(k) be the first derivative of 5 - t*k**3 + 0*k**2 + 0*k. Determine z so that j(z) = 0.
0
Let q = 4216/3153 + -4/1051. Factor 0 - 8/3*w - q*w**2.
-4*w*(w + 2)/3
Let r(y) = y**3 + y**2 + y - 1. Suppose z = 5*h + 6*z, 3 = -2*h - z. Let q(w) = 4*w**2 + w - 1. Let c(k) = h*r(k) + 3*q(k). Factor c(g).
-3*g**2*(g - 3)
Let v be -6 - (-396)/63 - (132/105)/(-4). Factor 3/5*d**4 + 6/5*d + 0 - v*d**2 - 6/5*d**3.
3*d*(d - 2)*(d - 1)*(d + 1)/5
Let d be -7 - ((-5)/(-20))/((-6)/180). Let d*n + 1/4*n**2 + 1/4 = 0. Calculate n.
-1
Let t(h) = -h**2 + 4*h + 7. Let r be t(