t s(y) = y**3 + 39*y**2 - 125*y - 62. Let p be s(-42). Let a be 8/52 - 10/p. What is n in a*n**2 + 3/2 - 7/4*n = 0?
1, 6
Let a(b) = -9*b**3 + 31*b**2 - 38*b - 76. Let y(o) = -110*o**3 + 370*o**2 - 455*o - 910. Let w(z) = -25*a(z) + 2*y(z). Factor w(d).
5*(d - 4)**2*(d + 1)
Let a(x) = 3*x**3 - 55*x**2 - 1224*x - 7436. Let k(q) = q**3 + 2*q**2 + 6*q. Let v(j) = -a(j) + 4*k(j). Let v(f) = 0. Calculate f.
-26, -11
Let w(y) be the third derivative of -3*y**2 + 22*y - 1/300*y**5 - 16/15*y**3 + 0 + 3/20*y**4. Factor w(d).
-(d - 16)*(d - 2)/5
Let w = -71 - -73. Find j such that 3*j**w - 244 - j**2 - 7*j**2 + 136*j - 12 + j**2 = 0.
2, 32
Let t be 0/(10 - 2) + 1 + 7. Suppose -5*l + l - t = -f, 3*f = l + 13. Factor -20*a + 1/2*a**f + 3*a**2 + 4*a**3 + 25/2.
(a - 1)**2*(a + 5)**2/2
Let x(r) be the third derivative of -1452/13*r**3 - 165*r**2 + 0*r + 0 - 1/390*r**5 + 11/13*r**4. Factor x(p).
-2*(p - 66)**2/13
Determine s, given that -17*s**2 + 124*s + 47*s**3 - 58*s**2 + 56*s + 42*s**3 - 84*s**3 = 0.
0, 3, 12
Let n(j) be the second derivative of -j**7/28 - j**6/120 + 33*j**5/40 + 119*j**4/48 + 11*j**3/4 + j**2 - 2722*j. Find i, given that n(i) = 0.
-2, -1, -1/6, 4
Let d(a) = -16*a + 29. Let n be d(2). Let c be (12/18*-3)/n. Factor -2*y + c*y**3 + 0 + 4/3*y**2.
2*y*(y - 1)*(y + 3)/3
Factor -297/7*s + 153/7*s**2 + 21 - 3/7*s**3.
-3*(s - 49)*(s - 1)**2/7
Let k = -4 - -11. Let q be 0*k/(-7)*-1. Factor q*n**3 + 0 + 2/11*n**5 + 0*n + 0*n**2 + 2/11*n**4.
2*n**4*(n + 1)/11
Let a = -18 - -23. Suppose -2*p = -2*l + 6, 0 = -5*p + 10*p - l - a. Factor -27*b + 16 + 1 + 7 + 3*b**p.
3*(b - 8)*(b - 1)
Let w(a) = 151*a**3 - 2*a**2. Let g be w(1). Suppose 7*j = -g + 163. Factor 1/2*q + 1/2*q**j - 1/2 - 1/2*q**3.
-(q - 1)**2*(q + 1)/2
Suppose 3*i + 3555 = 4*v + 6*i, 0 = -3*i + 15. Let u = -883 + v. Determine c so that 3/4 - c + 1/4*c**u = 0.
1, 3
Find x such that -20/3*x**2 - 1/3*x**3 - 160/3 - 116/3*x = 0.
-10, -8, -2
Suppose 0 = -5*o + 7*o + 4*q + 1960, o + 970 = 3*q. Let n be (2/(-44))/(122/o). What is s in -8/11*s + 42/11*s**3 + 0 - 14/11*s**5 - n*s**4 - 16/11*s**2 = 0?
-2, -2/7, 0, 1
Determine o so that 1/2 + 63*o + 2646*o**2 + 37044*o**3 = 0.
-1/42
Let n(r) = r**5 - r**4 + 2*r - 1. Let y(v) = -20*v**5 - 66*v**4 - 456*v**3 - 884*v**2 - 762*v - 198. Let t(o) = -36*n(o) - 2*y(o). Determine i so that t(i) = 0.
-36, -3, -1
Factor 1/3*f**2 - 17 + 14/3*f.
(f - 3)*(f + 17)/3
Factor -471/2 + 237/2*v**2 + 3/4*v**3 + 465/4*v.
3*(v - 1)*(v + 2)*(v + 157)/4
Let h(t) be the first derivative of -108*t - 45/2*t**2 - 159 - t**3. Factor h(w).
-3*(w + 3)*(w + 12)
Determine u so that -592/3*u - 580/3*u**2 + 1168/3 + 4/3*u**3 = 0.
-2, 1, 146
Let v(x) be the third derivative of x**7/105 - 149*x**6/30 + 21901*x**5/30 + 3725*x**4 + 7500*x**3 + 97*x**2 - 5. Factor v(h).
2*(h - 150)**2*(h + 1)**2
Let u(x) be the third derivative of -19/24*x**3 + 41*x**2 + 0 + 0*x - 3/16*x**4 + 1/240*x**5. Find r, given that u(r) = 0.
-1, 19
Let j(s) be the third derivative of s**7/1120 - s**6/480 + 13*s**3/6 + 14*s**2 - s. Let t(w) be the first derivative of j(w). Factor t(z).
3*z**2*(z - 1)/4
Determine p, given that -3921/5*p**2 + 627*p**4 + 786/5 - 2373/5*p**3 + 12/5*p**5 + 2361/5*p = 0.
-262, -1, -1/4, 1
Let m(u) = 3*u**3 + 639*u**2 - 552*u - 12. Let a(d) = -3*d**3 - 638*d**2 + 566*d + 10. Let q(p) = -6*a(p) - 5*m(p). Factor q(g).
3*g*(g - 1)*(g + 212)
Let h be (0 - -2) + 7*2051/(-7203). Let b(o) be the second derivative of 0 - 2/105*o**6 + 1/21*o**4 + 0*o**5 + 1/21*o**3 - h*o**7 + 29*o + 0*o**2. Factor b(c).
-2*c*(c - 1)*(c + 1)**3/7
Let z(p) be the third derivative of p**5/12 + 5795*p**4/12 + 6716405*p**3/6 + 245*p**2 - 1. Let z(a) = 0. What is a?
-1159
Let k = 52 + -50. Factor -16 + 5*x**2 - 15*x - 18 - 2*x**k + 71 - 19.
3*(x - 3)*(x - 2)
Let q = 885 + -579. Let b = q + -611/2. Factor -b*u**3 - 3*u**4 + 0 + 0*u + u**2.
-u**2*(2*u - 1)*(3*u + 2)/2
Suppose 0 - 1875/7*k - 3600/7*k**2 - 3/7*k**5 + 144/7*k**4 - 1578/7*k**3 = 0. Calculate k.
-1, 0, 25
Let f(g) = 4*g**2 - 82*g + 421. Let k be f(11). Determine i so that 2/9*i**4 - 4/3*i + 0 - 14/9*i**2 + 0*i**k = 0.
-2, -1, 0, 3
Let j(w) = 190*w**3 + 32655*w**2 + 6756815*w + 25. Let c(f) = 23*f**3 + 4083*f**2 + 844602*f + 3. Let p(i) = -25*c(i) + 3*j(i). Factor p(u).
-5*u*(u + 411)**2
Let n(g) be the third derivative of g**5/240 + 55*g**4/96 + 9*g**3/4 + 583*g**2. Solve n(m) = 0 for m.
-54, -1
Let j be (0 - 10/(-55))/((-114)/(-1254)). Suppose 1/5*m**5 + 2/5*m**4 + 0 - 1/5*m**3 + 0*m - 2/5*m**j = 0. What is m?
-2, -1, 0, 1
Let p(s) be the second derivative of s**5/180 + 5*s**4/36 + 21*s**2/2 - 23*s. Let y(n) be the first derivative of p(n). Suppose y(u) = 0. Calculate u.
-10, 0
Let r be -18*(-14)/1008*((-9)/(-2) + -3). Suppose -51/4*a**2 + 0 - 108*a**3 + 51/4*a**4 + 867/8*a - r*a**5 = 0. Calculate a.
-1, 0, 1, 17
Suppose 2*b = o + 12, 5*b + 122*o - 117*o = 0. Factor -12/13*g**3 + 0 - 2/13*g**2 + 2/13*g**b + 12/13*g.
2*g*(g - 6)*(g - 1)*(g + 1)/13
Let w be (10 - (-135)/(-12))*-4. Suppose 3 = -w*q + 3*k, -13*q = 7*k - 9*k + 2. Let -1/2*v + 1/2*v**3 + q + 0*v**2 = 0. What is v?
-1, 0, 1
Let z = 101/555 + 28/185. Let x(n) be the first derivative of -19 - 20/3*n**3 + z*n**6 + 4/5*n**5 - 5/2*n**4 + 4*n**2 + 16*n. Suppose x(o) = 0. What is o?
-2, -1, 1, 2
Let k(s) = -s**2 - 10*s + 33. Let u be k(-12). Find j such that 153*j**4 - u - 304*j**4 + 12*j + 6*j**2 - 12*j**3 + 154*j**4 = 0.
-1, 1, 3
Factor 3*c**4 - 25*c**3 + 295*c + 96*c**2 - 151*c - 20*c**3.
3*c*(c - 12)*(c - 4)*(c + 1)
Suppose 18 + 6 = 12*q. Find z such that -3*z - q*z**2 + 8*z - z**2 - 2*z**2 + 30 = 0.
-2, 3
Let a(v) = v**2 + 13*v - 146. Let q be a(-20). Let n be (-103)/(-28) + q/24. Factor -2/7*k**4 - n*k**2 + 12/7*k**3 + 16/7*k + 0.
-2*k*(k - 2)**3/7
What is q in 4088*q**2 - 4090*q**2 + 168 + 30*q - 80*q + 132 = 0?
-30, 5
Let q(z) be the second derivative of z**5/10 + 11*z**4/3 + 101*z**3/3 + 80*z**2 + 526*z. Factor q(k).
2*(k + 1)*(k + 5)*(k + 16)
Let y be 22 + -12 + -22 + 16. Let w(z) be the first derivative of 2/7*z + 2/35*z**5 + 0*z**2 - 4/21*z**3 + 0*z**y - 30. Let w(v) = 0. What is v?
-1, 1
Suppose -64480/7*z - 64896/7 + 178/3*z**2 - 2/21*z**3 = 0. What is z?
-1, 312
Suppose -74*r - 18*r = 29*r + 32*r. Let c(v) be the second derivative of 0*v**2 - 8*v - 2/5*v**5 + 1/2*v**4 + 1/3*v**3 + r. Factor c(w).
-2*w*(w - 1)*(4*w + 1)
Factor -27/4*y**3 - 2133*y - 483/2*y**2 + 486.
-3*(y + 18)**2*(9*y - 2)/4
Let -3/7*h**3 - 9/7*h**2 + 12/7 + 0*h = 0. Calculate h.
-2, 1
Let k(r) be the second derivative of -r**4/12 - 251*r**3/2 - 376*r**2 - 2*r - 4854. Find u, given that k(u) = 0.
-752, -1
Let q(m) be the third derivative of -m**6/180 + m**5/20 - m**4/6 - 8*m**3 + m**2 - 22. Let h(i) be the first derivative of q(i). Let h(r) = 0. What is r?
1, 2
Let a(i) = i**2 - 10*i + 9. Let k be a(9). Suppose k = 12*s - 7*s - 10. Find d, given that -19*d + 2 - 1 - 1 - 44*d**s - 2 = 0.
-1/4, -2/11
Let w(q) be the third derivative of q**5/150 + q**4/10 + 8*q**3/15 + 3*q**2 - 239*q. Factor w(o).
2*(o + 2)*(o + 4)/5
Let s be (-92)/460 - 3/((-9)/15). Let k(h) be the first derivative of -7 + s*h**2 + 144/5*h + 4/15*h**3. What is b in k(b) = 0?
-6
Let k(t) be the first derivative of -14*t**3/9 - 3572*t**2/3 - 680*t - 4497. Let k(b) = 0. What is b?
-510, -2/7
Suppose -550*g = -337*g + 856*g. Determine b, given that -b**3 - 1/8*b**5 + g*b**2 + 0 + 0*b - 9/8*b**4 = 0.
-8, -1, 0
Let k(r) = -9*r**2 - 296*r + 3091. Let m(t) = -6*t**2 - 208*t + 2060. Let f(o) = 5*k(o) - 7*m(o). Find w such that f(w) = 0.
-23, 15
Let g be 1/(13/((-1927055)/(-35))). Let k = 4246 - g. Factor 45/7*u + 3/7*u**3 - k + 27/7*u**2.
3*(u - 1)*(u + 5)**2/7
Let b be ((-7)/4)/(6/48). Let x(o) = -o**2 - o - 3*o + 3*o. Let i(w) = -w**4 + 2*w**3 - 8*w**2 - 7*w. Let p(f) = b*x(f) + 2*i(f). Factor p(r).
-2*r**2*(r - 1)**2
Suppose -10*t + 13*t - 6 = 0. Let 144 + 24*o**4 - 143*o + 109*o - 215*o - 2*o**5 - 114*o**3 - 63*o + 268*o**t = 0. Calculate o.
2, 3
Let b(c) be the first derivative of 2*c**5/5 - 5*c**4 + 34*c**3/3 + 52*c**2 - 120*c - 1914. Let b(d) = 0. What is d?
-2, 1, 5, 6
Let i(l) = -101*l + 303. Let m be i(3). Suppose 8/9*g**4 + 4/9*g**3 + 0 + m*g - 4/9*g**5 - 8/9*g**2 = 0. Calculate g.
-1, 0, 1, 2
Let n(q) = -11*q + 1. Let g be n(5). Let z = -50 - g. What is s i