3 + 2*h**2 + 16*h. Let v(n) = -8*n**4 + 33*n**3 + 55*n**2 + 112*n. Let o(t) = 3*v(t) - 21*y(t). Factor o(b).
-3*b**2*(b - 41)*(b + 1)
Let s(a) = -3*a - 6. Let d be s(-2). Suppose d*k = 3*k + 4*c - 12, -4*k = 2*c - 16. Factor -76 - 2*l + 12*l**3 + 6*l**5 + 76 - 16*l**k.
2*l*(l - 1)**3*(3*l + 1)
Let 88059*i**3 - 2*i**4 - 216*i - 87889*i**3 + 208*i**2 + 8*i**4 = 0. What is i?
-27, -2, 0, 2/3
Let w(o) = -3*o + 6. Let g(d) = d - 1. Let a(y) = 5*g(y) + w(y). Let u(b) = -b**2 + 5*b - 1. Let r(p) = -35*a(p) + 5*u(p). What is s in r(s) = 0?
-8, -1
Factor 2*t**5 + 400*t**4 - 118*t**4 - 136*t**4 - 18*t**2 - 2*t**3 - 128*t**4.
2*t**2*(t - 1)*(t + 1)*(t + 9)
Let y = -1007/5 + 2029/10. Let r(u) be the second derivative of 0*u**4 - 3/4*u**3 + y*u**2 + 0 + 3/40*u**5 - 7*u. Factor r(d).
3*(d - 1)**2*(d + 2)/2
Let o(d) be the first derivative of -5*d**6/6 - 37*d**5 - 845*d**4/4 - 1475*d**3/3 - 565*d**2 - 320*d - 2713. Factor o(n).
-5*(n + 1)**3*(n + 2)*(n + 32)
Suppose 6*z + 5*z + 13*z = 0. Let x(b) be the third derivative of 0*b**3 + 1/28*b**4 - 1/210*b**5 + z + 0*b + 12*b**2. Find o, given that x(o) = 0.
0, 3
Suppose 0*k**2 - 7111 + 275*k - 4792 - 5*k**2 + 9483 = 0. Calculate k.
11, 44
Let h = -25447 + 25450. Let z(d) be the first derivative of 2/3*d**h + 0*d + 34 + 0*d**2. Let z(x) = 0. Calculate x.
0
Let n(o) = -o**2 - 46*o - 170. Let f be n(-4). Let s be (-11)/(715/(-140)) + -4 - f. Factor -s*i**3 + 4/13*i**2 + 6/13*i + 0.
-2*i*(i - 3)*(i + 1)/13
Suppose -5*b = -4*f - 339, -5*f + 2*f + 198 = 3*b. Let v = 97 - b. Suppose 0*k**3 - 38*k - 3*k**3 + v - 57*k**2 + 81*k**2 - 13*k = 0. Calculate k.
1, 2, 5
Let d = 7036123/88 + -79957. Let w = d + 13/11. Let 0*h + 0 - w*h**2 = 0. Calculate h.
0
Let w = -1483057/3 - -494359. What is x in 2/3 + w*x - 23/2*x**2 = 0?
-2/23, 2/3
Suppose -24*v = -27*v + 105. Suppose -v*d = -34*d. Factor d + 5/6*r**5 - 1/3*r**2 + 1/6*r**3 + 0*r + 4/3*r**4.
r**2*(r + 1)**2*(5*r - 2)/6
Let 16/19*d**2 + 0 - 6/19*d = 0. Calculate d.
0, 3/8
Let z(x) be the second derivative of x**4/78 - 922*x**3/39 + 212521*x**2/13 + 49*x. Factor z(u).
2*(u - 461)**2/13
Let q(o) be the second derivative of o**6/10 + 22*o**5/5 + 91*o**4/6 - 32*o**3 - 81*o**2/2 - 3345*o - 2. Find u, given that q(u) = 0.
-27, -3, -1/3, 1
Suppose 3*l - 2*z + 20 = 7*l, 3*l + 4*z = 25. Find d such that 37*d**5 + 8*d**l + 53*d**5 - 28*d**4 - 70*d**5 = 0.
0, 2/5, 1
Let c(y) be the second derivative of 19*y**5/30 + 124*y**4/9 + 13*y**3/9 - 79*y - 3. Suppose c(n) = 0. What is n?
-13, -1/19, 0
Suppose -27 = -9*r + 18. Suppose -r - 49 = -6*k. Let -3 + 125*c**3 - 15*c - k*c**2 - 126*c**3 + 28 = 0. Calculate c.
-5, 1
Factor -50*v**4 - 9*v**4 - 3*v**3 + 58*v**4 + 14 - 33*v + 23*v**2.
-(v - 2)*(v - 1)**2*(v + 7)
Let d = 1143565/254126 + 1/127063. Factor -9/4*j**2 + d + 15/8*j + 3/8*j**3.
3*(j - 4)*(j - 3)*(j + 1)/8
Let b(f) = f**3 + 52*f**2 + 503*f - 154. Let j be b(-39). Let y = -37/14 - -22/7. Factor -y*u + 0 - u**j.
-u*(2*u + 1)/2
Let x = 382857/11 - 34805. Let c(t) be the first derivative of -4/11*t - x*t**2 + 11 - 1/33*t**3. Find n such that c(n) = 0.
-2
Let k(l) = -2*l**2 + 21*l - 6. Let o be k(10). Suppose -25*n + 80 = 9*n + 6*n. Factor 4/3*c**3 + 0*c + 0 + c**n + 1/3*c**o.
c**2*(c + 1)*(c + 3)/3
Let r(u) be the second derivative of u**5/240 + u**4/96 - u**3/4 + 23*u**2/2 + 194*u. Let p(o) be the first derivative of r(o). Factor p(m).
(m - 2)*(m + 3)/4
Let s(y) be the first derivative of -33/2*y**2 - 54*y - y**3 - 11. Find d such that s(d) = 0.
-9, -2
Suppose -21*z + 17509 = -6851. Factor z*n**2 + 5*n**3 + 0*n**3 - 1052*n**2 + 972*n - 2*n**3.
3*n*(n + 18)**2
Let g(t) be the third derivative of -t**5/75 + 1001*t**4/180 + 134*t**3/9 + 569*t**2 - 2. Determine y, given that g(y) = 0.
-2/3, 335/2
Suppose -4*h + 189 = 4*f + 153, h - 13 = -2*f. Let k(v) be the first derivative of 11 + 0*v**3 + 1/18*v**6 + 0*v + 1/6*v**2 - 1/6*v**f + 0*v**5. Factor k(w).
w*(w - 1)**2*(w + 1)**2/3
Let t(q) be the third derivative of -q**7/630 + 61*q**6/360 - 1219*q**5/180 + 2645*q**4/24 + q**2 - 1358*q. Factor t(a).
-a*(a - 23)**2*(a - 15)/3
Let s(c) = -c**2 - 13*c - 6. Let v be s(-12). Let z(f) = 2*f - 10. Let k be z(v). What is r in -18*r**k + 19*r**2 - 1 + 1 + r = 0?
-1, 0
Solve 110/7*n**3 + 396/7 + 1110/7*n - 4/7*n**4 + 692/7*n**2 = 0.
-3, -2, -1/2, 33
Let v(y) = y**2 + 31*y + 87. Let i be v(-28). Let -2*q**3 + 12*q**2 + 9*q**3 + 18*q - 7*q**3 + 2*q**i = 0. What is q?
-3, 0
Let k(c) = 3*c**2 - 4564*c + 54338. Let i be k(12). Find t, given that 344/9*t + 4/9*t**i + 7396/9 = 0.
-43
Let b(k) be the third derivative of -k**5/240 - 17*k**4/24 - 145*k**3/6 + k**2 + k - 663. Factor b(v).
-(v + 10)*(v + 58)/4
Find b such that 1/2*b**5 + 7*b**4 - 126*b + 55/2*b**3 + 3*b**2 - 108 = 0.
-6, -3, -1, 2
Suppose 10*y + 6 = 16*y. Let f be (4*(-1)/18)/(y/(-9)). Factor -4*p - 4 + 3*p**f + 3 + 1 - 4 - p**4 + 2*p**3.
-(p - 2)**2*(p + 1)**2
Let y = -90441/2 - -45401. Solve 1/2*q**2 + y - 19*q = 0 for q.
19
Suppose 32*j**5 - 2358 - 1578*j**2 + 31*j**3 - 13248 - 12546*j + 368*j**4 + 1075*j**3 = 0. What is j?
-17/4, -3, 3
Let a be (-45)/((-20925)/(-62)) - 3684/(-90). Factor 36/5 - 126/5*y**3 + a*y**2 - 141/5*y + 3/5*y**5 + 24/5*y**4.
3*(y - 1)**4*(y + 12)/5
Let f(q) be the third derivative of q**6/24 + 8*q**5/3 - 335*q**4/24 + 85*q**3/3 + 3401*q**2. Factor f(a).
5*(a - 1)**2*(a + 34)
Let q(r) be the first derivative of r**9/12096 - r**7/3360 - 79*r**3/3 + 60. Let a(d) be the third derivative of q(d). What is m in a(m) = 0?
-1, 0, 1
Let z be ((-785)/9)/(-157)*(7/(-5) + 2). Factor 2/3*y**2 + z*y + 0.
y*(2*y + 1)/3
Let f(n) be the second derivative of -25/16*n**2 + 14 - 1/2*n**3 + n + 1/96*n**4. Solve f(y) = 0.
-1, 25
Suppose 51 = 4*o + 3*u + 3, o - 70 = -8*u. Suppose -14 - o*z + 1/2*z**2 = 0. Calculate z.
-2, 14
Let d = 191467 - 191464. Factor 2/9*s**2 - 2/9*s**4 + 0 - 4/9*s + 4/9*s**d.
-2*s*(s - 2)*(s - 1)*(s + 1)/9
Determine b, given that -1552*b**2 - 4*b**3 + 2924*b - 180*b**2 - 164*b - 183*b + 903*b = 0.
-435, 0, 2
Factor 104/5 - 6/5*v**2 + 8*v.
-2*(v + 2)*(3*v - 26)/5
Let r(q) be the first derivative of 361*q**3 - 3762*q**2 + 13068*q + 1263. Factor r(c).
3*(19*c - 66)**2
Factor 0 + 80/3*p - 2/3*p**3 + 4*p**2.
-2*p*(p - 10)*(p + 4)/3
Determine y so that 484/3*y**5 - 7603*y**3 + 36971/3*y**4 + 4616/3*y**2 + 0 - 308/3*y = 0.
-77, 0, 2/11, 1/4
Factor k**3 + 6046*k**2 + 7*k**3 - 85*k - 5966*k**2 - 3*k**3.
5*k*(k - 1)*(k + 17)
Let d(s) be the first derivative of 5/2*s**2 - 5/4*s**4 - 5/3*s**3 + 5*s - 29. Determine l, given that d(l) = 0.
-1, 1
Let f(k) be the first derivative of -k**6/12 - 2*k**5 + 91*k**4/8 - 59*k**3/3 + 12*k**2 - 670. What is d in f(d) = 0?
-24, 0, 1, 2
Let r = 600 - 525. Suppose -5 = -a - 5*v, -2*a - 71*v = -r*v + 4. Find b, given that a - 2/5*b - 2/5*b**2 = 0.
-1, 0
Let b(l) be the third derivative of 0*l**3 - 1/36*l**4 + 1/270*l**5 - 12*l**2 + 0 + 3*l. Let b(g) = 0. Calculate g.
0, 3
Let l be (-90)/(-60) - 5/(-2). Solve -8*b - 144*b**l - 6*b**2 + 75*b**4 + 18*b**3 + 65*b**4 = 0.
-1/2, 0, 1, 4
Let u(j) = -2*j - 15. Let q be u(-10). Let i = 8 - q. Solve -d + d**2 - 5*d**2 + 4*d - 38*d**3 + 39*d**i = 0.
0, 1, 3
Let a = -104648/7 - -209317/14. Solve 2 - 1/2*q**2 + a*q = 0.
-1, 4
Let t(l) = 6*l**2 + 215*l + 253. Let y(i) = -2*i**2 - 72*i - 86. Let o(f) = -4*t(f) - 11*y(f). Factor o(u).
-2*(u + 1)*(u + 33)
Let x be 156/56 - 150/(-700). Let u(s) be the second derivative of 0 - 1/48*s**4 + 1/120*s**6 + 0*s**5 + 0*s**x - 17*s + 0*s**2. Factor u(p).
p**2*(p - 1)*(p + 1)/4
Let x(v) be the second derivative of 7/18*v**3 + 57*v + 17/60*v**5 - 1/60*v**6 + 8/9*v**4 + 0 - 13/12*v**2. Suppose x(z) = 0. Calculate z.
-1, 1/3, 13
Suppose 0*w - w + 10 = -k, 0 = 4*k. Factor w*x**3 + 14*x**2 - 6*x + 4*x**2 - 5 - 2 - 1 - 6*x**2.
2*(x + 1)**2*(5*x - 4)
Let f(d) be the first derivative of 2*d**5/5 + d**4/12 - 2*d**3/3 - d**2/6 + 1595. Factor f(a).
a*(a - 1)*(a + 1)*(6*a + 1)/3
Let o(h) be the third derivative of 5 + 0*h - 1/1260*h**7 + 0*h**3 + 0*h**6 - 9*h**2 + 1/30*h**5 - 1/9*h**4. What is n in o(n) = 0?
-4, 0, 2
Let a be ((-14560)/624)/(56/(-21)). Factor 1 + 49/8*d**3 - 13/2*d + a*d**2.
(d + 2)*(7*d - 2)**2/8
Let t(p) be the third derivative of 2*p**4 + 7*p**2 + 28/9*p**3 + 1/18*p**5 + 0 + 0*p. Solve t(z) = 0.
-14, -2/5
Find g suc