5 - -88. Let o = m + 536/5. Factor o + 2/5*z + 1/5*z**2.
(z + 1)**2/5
Let x(v) be the second derivative of -v**4/90 - 2*v**3/9 + 13*v**2/5 + 112*v. Factor x(h).
-2*(h - 3)*(h + 13)/15
Suppose 3*g + 0 - 6 = 0. Suppose 19 = 5*d - 3*h - 0*h, d - h - 5 = 0. Factor 4 - o - 2*o**g - 16*o**d - 13*o.
-2*(o + 1)*(9*o - 2)
Let b be 9/15 + 306/15. Determine u, given that -6*u - 4*u**2 - 29*u**2 + 0*u - 48*u**3 - b*u**4 = 0.
-1, -2/7, 0
Let k(m) be the first derivative of -12*m**5/5 + 2*m**4 + 4*m**3/3 - 92. Determine q so that k(q) = 0.
-1/3, 0, 1
Let v = 2/137 + 407/274. Let h(r) be the second derivative of -3/4*r**4 - v*r**2 + 8*r + 3/20*r**5 + 0 + 3/2*r**3. What is u in h(u) = 0?
1
Let c(o) be the second derivative of -9*o**7/14 + o**6/15 + 134*o. Factor c(a).
-a**4*(27*a - 2)
Let x(r) be the second derivative of -r**6/70 - 3*r**5/28 - 3*r**4/14 + 2*r**3/7 + 12*r**2/7 - 4*r + 1. Factor x(o).
-3*(o - 1)*(o + 2)**3/7
Let y(f) be the second derivative of f**7/33 - f**6/33 - f**5/55 + 249*f. Let y(o) = 0. What is o?
-2/7, 0, 1
Let -90 + 2/5*z**3 - 26*z + 2/5*z**2 = 0. Calculate z.
-5, 9
Factor 5*q**3 + 3*q**3 - 6*q**3 - 1052*q**2 + 988*q**2 + 64 - 2*q.
2*(q - 32)*(q - 1)*(q + 1)
Let r be (0 - 1/(-33))/(41/246). What is k in r*k**5 - 4/11*k**3 - 2/11*k**4 + 2/11*k + 4/11*k**2 - 2/11 = 0?
-1, 1
Let k = -10 - -12. Let t be k - (3 - 10/3)*-4. Factor -t*r - 2/3*r**2 + 4/3.
-2*(r - 1)*(r + 2)/3
Suppose -4*z = -2*l + 48, 0 = -8*l + 6*l + 3*z + 44. Suppose -3*w - 3*h = -3, -5*w + 2*h + l = -w. Factor -y**4 + 5*y + 7*y**3 - 3*y + y**2 - 3*y - 6*y**w.
-y*(y - 1)**2*(y + 1)
Let c be 22 - ((-56)/42 + (-8)/(-6)). Suppose j - 47 = -4*a, 9*a + 2*j = 7*a + c. Factor -24*s**3 - 16/3*s**4 - a*s - 4/3 - 97/3*s**2.
-(s + 2)**2*(4*s + 1)**2/3
Let -87/8*u - 15/2 - 15/8*u**2 = 0. What is u?
-5, -4/5
Let y be (-1)/(((-2)/21)/2). Suppose 2*c = -5*w - 9, 0 = 2*c + 2*w - 7*w - y. Find t, given that 2*t - 4*t**2 - t**c + 2*t**3 + 7*t**2 = 0.
-2, -1, 0
Let q(b) be the first derivative of -b**6/8 + 3*b**4/8 - 3*b**2/8 - 43. Factor q(n).
-3*n*(n - 1)**2*(n + 1)**2/4
Let n(t) be the second derivative of -t**4/21 + 2*t**2/7 - 4*t + 1. Factor n(s).
-4*(s - 1)*(s + 1)/7
Let u(c) be the first derivative of -3*c**4/4 - c**3 + 15*c**2/2 - 9*c + 219. Find z such that u(z) = 0.
-3, 1
Let t(f) = f - 1. Let c(b) = 3*b**3 + 11*b**2 + 8*b - 16. Let u(l) = l**3 + l**2 + l - 1. Let n(x) = -c(x) + 5*u(x). Let q(k) = -2*n(k) - 6*t(k). Factor q(r).
-4*(r - 2)**2*(r + 1)
Let c(o) be the first derivative of -2*o**3/3 + 36*o**2 + 234*o - 458. Suppose c(a) = 0. What is a?
-3, 39
Let c(p) be the first derivative of -3/2*p**2 - 2*p + 5/2*p**4 + 3*p**3 - 9. Solve c(i) = 0.
-1, -2/5, 1/2
Let s = 1590/13 - 11117/91. Factor s*f**3 - 1/7*f + 2/7*f**2 - 2/7.
(f - 1)*(f + 1)*(f + 2)/7
Let c(s) be the second derivative of s**6/120 - s**5/20 + s**4/8 - 17*s**3/6 - 20*s. Let m(h) be the second derivative of c(h). Factor m(p).
3*(p - 1)**2
Let y be (-2)/(387 + -382 - ((-66)/(-10) + 1)). Determine k, given that -12/13 + 2/13*k**2 - y*k = 0.
-1, 6
Factor 0*w**2 + 0 + 10/7*w**5 - 2*w**4 + 4/7*w**3 + 0*w.
2*w**3*(w - 1)*(5*w - 2)/7
Let h(m) = m**3 + 19*m**2 + 34*m - 1. Let s be h(-17). Let z be 3 + s - 12/7. Determine t so that z*t**3 + 0 + 2/7*t + 4/7*t**2 = 0.
-1, 0
Let d be (-1 - -4)*(6 + -5). Let c(n) = n**3 - 11*n**2 + 19*n - 90. Let f be c(10). What is l in -4/3*l**2 + l**d + 1/3*l + f = 0?
0, 1/3, 1
Let s(c) be the second derivative of -7*c**4/4 + 6*c**3 + 6*c**2 - 7*c - 2. Factor s(j).
-3*(j - 2)*(7*j + 2)
Let o be 10/(-4) + 1630/(-20). Let i be o/(-49)*(-2)/(-4). Suppose i*u**3 + 8/7*u**2 + 0 + 2/7*u = 0. Calculate u.
-1, -1/3, 0
Factor -29/3*m + 5/6*m**2 - 4.
(m - 12)*(5*m + 2)/6
Factor -144 - 160*k - 148/9*k**2 - 4/9*k**3.
-4*(k + 1)*(k + 18)**2/9
Let j(k) be the second derivative of 0*k**2 + 15*k - 1/32*k**4 + 1/8*k**3 - 3/160*k**5 + 0. Find g, given that j(g) = 0.
-2, 0, 1
Factor -9775*n**3 - 20 + 5*n**4 + 19*n**2 - 4*n**2 + 9795*n**3 - 20*n.
5*(n - 1)*(n + 1)*(n + 2)**2
Let o be ((-24)/(-18))/((-2)/(-3)). Let w be (3/o)/(3/16*4). Factor -11*r**3 - 10*r + w + 5/2*r**4 + 33/2*r**2.
(r - 2)*(r - 1)**2*(5*r - 2)/2
Let m(b) be the third derivative of 5*b**7/84 - b**6/2 + 7*b**5/10 - b**4/3 - 95*b**2. Find o such that m(o) = 0.
0, 2/5, 4
Let u(y) be the third derivative of 0*y**3 - 1/20*y**5 + 0*y**4 - 38*y**2 + 0*y + 0. Find f such that u(f) = 0.
0
Let d be ((-58)/(-145))/(2/20). Factor 3*c**2 - 2*c - d + 4*c + c**2 - 2*c**2.
2*(c - 1)*(c + 2)
Determine n so that -7 - 64*n**3 - 160*n - 64*n**2 - 104*n**2 - 45 - 4*n**4 = 0.
-13, -1
Let l = 206/141 - 53/47. Factor -l*m - 2/3 + 1/3*m**2.
(m - 2)*(m + 1)/3
Let t(w) be the first derivative of 1/5*w**5 + 0*w + 5/3*w**3 - w**4 - w**2 + 15. Factor t(f).
f*(f - 2)*(f - 1)**2
Let l = 69 + -105. Let p be (-2)/(-72) + (-8)/l. Factor 1/4*m**5 + 1/2*m**2 - 1/2*m**3 - 1/4*m**4 + p*m - 1/4.
(m - 1)**3*(m + 1)**2/4
Factor -66*i - 6*i**2 - 2*i**2 - 6*i**2 - 8*i**2 + 2*i**2 - 2*i**3 - 72.
-2*(i + 3)**2*(i + 4)
What is v in 0*v + 0 - 3/5*v**3 + 6/5*v**2 = 0?
0, 2
Let y be ((-4)/(-16))/((-3)/(-3066)). Let k = y - 255. Solve -1/2*j - 1 + k*j**2 = 0 for j.
-1, 2
Let s(d) = 6*d**3 - 7*d**2 + 34. Let g be s(-5). Let z = g - -8027/9. What is x in 2/9*x**3 + 0 + 2/3*x - z*x**2 = 0?
0, 1, 3
Let q(v) = 6*v**5 - 19*v**4 + 32*v**3 + 6*v**2 - 24*v. Let k(u) = -37*u**5 + 113*u**4 - 193*u**3 - 37*u**2 + 144*u. Let r(z) = 6*k(z) + 39*q(z). Factor r(f).
3*f*(f - 2)**3*(4*f + 3)
Suppose -5*a + 7*b - 2*b + 20 = 0, 5*a - b = 16. Let p(g) be the second derivative of -4/11*g**2 + 0 + a*g - 8/33*g**3 - 5/66*g**4 - 1/110*g**5. Factor p(t).
-2*(t + 1)*(t + 2)**2/11
Let r(i) be the third derivative of -i**5/60 - i**4/24 + i**3 + 201*i**2. Factor r(q).
-(q - 2)*(q + 3)
Let m(g) = -12*g**2 - 1 + 3*g + 0 + 11*g**2 - 1. Let z be m(2). Suppose z*u - 1/2*u**3 - 2 + 3/2*u**2 = 0. What is u?
-1, 2
Factor 0 + 4/7*y**3 + 60/7*y - 32/7*y**2.
4*y*(y - 5)*(y - 3)/7
Let g = -17 - -19. Factor -2*k + 4*k + k + k**2 + g.
(k + 1)*(k + 2)
Let n = 206 - 203. Let l(i) be the second derivative of 1/6*i**4 + 0*i**3 + 0*i**2 - 1/10*i**5 + 0 + n*i. Factor l(j).
-2*j**2*(j - 1)
Let o be 36/16 - (-3)/4. Let k be (-8)/4 + o - (2 + -3). Factor -4/11*s**3 + 0*s + 2/11*s**4 + 0 + 2/11*s**k.
2*s**2*(s - 1)**2/11
Let y be 4*((-119)/392 - (-12 + (-324)/(-28))). Let h = 7 - 4. Factor 0 - 1/2*f**h + 1/2*f**2 + 1/2*f - y*f**4.
-f*(f - 1)*(f + 1)**2/2
Let a(l) be the third derivative of 0*l**3 - 1/105*l**7 + 0*l + 1/70*l**5 + 1/140*l**6 - 10*l**2 + 1/392*l**8 - 1/42*l**4 + 0. Factor a(t).
2*t*(t - 1)**3*(3*t + 2)/7
Let i(b) = b**3 + 2*b**2. Let h(f) = -f**3 - 107*f**2 - 205*f - 105. Let s(v) = -h(v) - 6*i(v). Suppose s(p) = 0. What is p?
-1, 21
Let h(a) be the third derivative of a**8/1680 + a**7/168 + a**6/90 - 35*a**3/6 + 55*a**2. Let c(f) be the first derivative of h(f). Factor c(q).
q**2*(q + 1)*(q + 4)
Suppose -1/10*o**4 + 9/5*o**2 + 7/10 + 2*o + 2/5*o**3 = 0. Calculate o.
-1, 7
Suppose 10*m - 246 = 7*m. Let x = m - 79. Factor 2/5*v**x - 1/5*v**4 - 1/5*v**2 + 0*v + 0.
-v**2*(v - 1)**2/5
Factor 0*g + 0 + 2/9*g**4 - 2/3*g**3 + 4/9*g**2.
2*g**2*(g - 2)*(g - 1)/9
What is d in -3/2 - 15123/2*d**2 + 213*d = 0?
1/71
Let o be 13 + (-1500)/70 + 11. Factor -o*i**2 - 12/7*i**3 - 8/7*i - 2/7*i**4 + 0.
-2*i*(i + 1)**2*(i + 4)/7
Let r(h) = -59*h**3 - 2*h. Let s be r(-1). Let y = s + -58. Suppose -1/4*t**y - 27/4 - 27/4*t - 9/4*t**2 = 0. Calculate t.
-3
Let t(a) be the first derivative of -8*a**4/15 + 944*a**3/45 - 233*a**2/15 + 58*a/15 + 237. Factor t(v).
-2*(v - 29)*(4*v - 1)**2/15
Let l be 100/(-800) - (-4)/8. Determine k, given that 0*k + 1/8*k**4 + l*k**3 + 0 + 1/4*k**2 = 0.
-2, -1, 0
Let x be -3 + 6 + -6 + -2 + 5. Let r(n) be the second derivative of 1/18*n**4 + x - n + 0*n**2 + 2/9*n**3. Factor r(k).
2*k*(k + 2)/3
Let o(c) be the first derivative of 1/20*c**4 + 3/10*c**2 - 1/5*c + 2 - 1/5*c**3. Let o(g) = 0. What is g?
1
Let x = -2759/7 - -395. Let d = -1/12 + 43/84. Let -d*u**2 + 0 - x*u = 0. What is u?
-2, 0
Let g(s) be the second derivative of -s**7/84 + 4*s**6/15 + 37*s**5/20 + 29*s**4/6 + 79*s**3/12 + 5*s**2 - 158*s. Factor g(n).
-(n - 20)*(n + 1)**4/2
Suppose -66 = -3*v - 2*o, 0 = -2*v + 7*v - 4*o - 132. Let y = v + -19. Factor 0*p**2 + 5