/3*u - 5/4*u**2 + d. Factor f(b).
5*(b - 4)*(b + 1)/6
Let j(f) be the second derivative of f**6/24 - 5*f**4/16 + 5*f**3/12 - 3*f + 189. Find w, given that j(w) = 0.
-2, 0, 1
Let n = 77 + -58. Let h be ((-6)/(-12))/(1/6). Find x such that 5 + h*x**5 + 23*x**4 + 69*x**2 - n*x**2 - 14 + 3*x - 28*x**3 + 86*x**3 = 0.
-3, -1, 1/3
Let v(g) be the first derivative of -2*g**6/15 - 32*g**5/25 + 247*g**4/20 - 199*g**3/15 - 399*g**2/10 - 117*g/5 + 1414. Determine s so that v(s) = 0.
-13, -1/2, 3
Let s(u) = -36*u + 27. Let x(y) = 110*y - 76. Let m(z) = -14*s(z) - 5*x(z). Let k be m(0). Find i such that 30/13*i + 4/13*i**k - 16/13 = 0.
-8, 1/2
Let x = 345563 - 345561. Find i such that 22/5*i**2 - x*i**4 - 26/5*i + 26/5*i**3 - 12/5 = 0.
-1, -2/5, 1, 3
Let m(n) = n**3 - 48*n - 5. Let h be 6 + (0 - (-9 - -8)). Let r be m(h). Factor -7/6*y**3 + 17/6*y**r + 1/6*y**4 - 17/6*y + 1.
(y - 3)*(y - 2)*(y - 1)**2/6
Factor 29448*c - 2612*c**2 + 7752*c + 4*c**4 + 36000 - 3361*c**2 - 196*c**3 + 6973*c**2.
4*(c - 30)**2*(c + 1)*(c + 10)
Let k(c) be the third derivative of -c**6/24 + 23*c**5/2 - 225*c**4/2 + 1340*c**3/3 - 147*c**2 + c. Factor k(f).
-5*(f - 134)*(f - 2)**2
Suppose x**3 - 7*x**3 + 3*x**2 + 135956*x - 108 - 135740*x = 0. Calculate x.
-6, 1/2, 6
Let f(g) be the first derivative of -29*g**3 + 6*g**2 + 174 + 0*g + 21/4*g**4. Suppose f(y) = 0. Calculate y.
0, 1/7, 4
Let s(r) be the third derivative of 23/30*r**5 + 27/2*r**3 - 6*r**4 + 0 + 0*r + 2/15*r**6 + 13*r**2 + 1/210*r**7. Factor s(a).
(a - 1)**2*(a + 9)**2
Suppose -40 = 1886*j - 1896*j. Let f(b) be the third derivative of 7*b**2 + 0*b + 0 + 1/52*b**j + 1/390*b**5 + 2/39*b**3. Factor f(s).
2*(s + 1)*(s + 2)/13
Let x(k) be the third derivative of -1/120*k**5 + 1/24*k**4 + 1/4*k**3 - 1 + 0*k - 65*k**2. Solve x(b) = 0 for b.
-1, 3
Let l(b) = 20*b**2 - 396*b + 408. Let r(v) = -2*v**2 + 36*v - 37. Suppose -4*g + 8 = 0, -5*g + 108 = 4*h - 30. Let s(j) = h*r(j) + 3*l(j). Factor s(c).
-4*(c - 1)*(c + 10)
Let p(a) = a + 27. Let o be p(0). Let s = 217 + -214. Let -o*h + s*h**3 + 6*h**2 + 57*h - 27*h = 0. What is h?
-1, 0
Let m = -930 + 933. Suppose -42*o = -43*o + m. Factor 0 + 1/2*v**2 - 1/2*v**4 + 2*v - 2*v**o.
-v*(v - 1)*(v + 1)*(v + 4)/2
Let s(i) be the first derivative of -i**3/4 - 33*i**2/8 - 18*i - 624. Factor s(c).
-3*(c + 3)*(c + 8)/4
Suppose 3*p = p + 3*u + 24, -3*u - 42 = -4*p. Let l(r) = r - 5. Let q be l(p). Find h such that -5 + 21 + h + 0*h - 4*h**3 + 15*h - q*h**2 = 0.
-2, -1, 2
Let m(n) be the first derivative of -2*n**3/15 - 23*n**2/5 - 52*n + 2101. Factor m(v).
-2*(v + 10)*(v + 13)/5
Let l(h) be the third derivative of h**6/420 - 29*h**5/105 - 17*h**4/12 - 20*h**3/7 - 39*h**2 - 3*h + 3. Factor l(n).
2*(n - 60)*(n + 1)**2/7
Factor -450 - 60*y - 3/2*y**2.
-3*(y + 10)*(y + 30)/2
Let x(h) be the third derivative of 0 + 1/30*h**5 + 0*h**3 + 70*h**2 - 1/120*h**6 + 0*h + 1/8*h**4. Factor x(i).
-i*(i - 3)*(i + 1)
Let f(p) = -18*p + 33. Let o be f(-18). Solve m**4 - 358*m**3 + m**5 + o*m**3 - 2*m**2 + m**2 = 0 for m.
-1, 0, 1
Find o, given that 4*o**4 + 652*o + 3*o**3 + 3*o**5 - 2*o**5 - 652*o = 0.
-3, -1, 0
Let j(t) be the first derivative of -40*t - 5/3*t**3 + 217 - 15*t**2. Factor j(z).
-5*(z + 2)*(z + 4)
Let z(n) = -n**3 - 4*n**2 - 5*n - 44. Let t = 794 - 799. Let m be z(t). Suppose 27/2 + m*r**2 - 3/4*r**3 - 63/4*r = 0. Calculate r.
2, 3
Suppose -23*i = -21*i - 22*i. Let n(q) be the second derivative of 0*q**2 + i*q**3 + 2/15*q**6 + 0 + 0*q**4 - 3/5*q**5 + 22*q. Factor n(l).
4*l**3*(l - 3)
Factor 156*x + 284 - 178*x - 68*x**2 + x**3 + 0*x**3 - 195*x.
(x - 71)*(x - 1)*(x + 4)
Let r(w) = 3*w**3 - 63*w**2 - 171*w - 105. Let n(u) = -u**2 + 1. Let k(g) = -18*n(g) - r(g). Factor k(y).
-3*(y - 29)*(y + 1)**2
Factor -2951524/3 - 1/3*l**2 + 3436/3*l.
-(l - 1718)**2/3
Factor 288150 + 44960*g + 4*g**3 + 187754 + 7456*g + 876*g**2.
4*(g + 11)*(g + 104)**2
Let r = 63 + -45. Let q be (-63)/r*18/(-21). Factor 2*b + 2*b + 19 - 17 - b**2 - q*b.
-(b - 2)*(b + 1)
Suppose -180230*p + 180157*p + 146 = 0. Find c, given that -c**p + 4/3*c + 1/3*c**4 - 2/3*c**3 + 4/3 = 0.
-1, 2
Let v(o) be the third derivative of 0 - 1/480*o**6 + 1/96*o**4 - 35*o**2 - 1/24*o**3 + 1/240*o**5 + 0*o. Suppose v(a) = 0. Calculate a.
-1, 1
Let a(h) be the first derivative of 4*h + 130 - 73/15*h**2 - 2/9*h**3. Factor a(u).
-2*(u + 15)*(5*u - 2)/15
Let m(l) be the third derivative of 2*l + 19*l**2 - 1/6*l**5 + 0*l**4 + 0 - 1/60*l**6 + 0*l**3. Determine s so that m(s) = 0.
-5, 0
Let i(n) = 67*n**2 - 33*n + 390. Let q(h) = -123*h**2 + 68*h - 781. Let g(b) = 11*i(b) + 6*q(b). Suppose g(w) = 0. What is w?
12, 33
Factor 832*u**3 - 80 - 11*u**4 + 153 + 15*u**4 - 73.
4*u**3*(u + 208)
Factor -24/7*d**3 + 12*d + 76/7*d**2 - 16/7.
-4*(d - 4)*(d + 1)*(6*d - 1)/7
Let -1153*z + 39310*z**3 + 24843*z**4 + 85*z + 12 + 9284*z**3 + 22671*z**2 = 0. Calculate z.
-1, 2/91
Let d(r) be the third derivative of r**6/720 - 91*r**5/360 + 163*r**4/144 + 445*r**3/12 - 8986*r**2. Suppose d(i) = 0. What is i?
-3, 5, 89
Let o(z) = 2*z**2 + 360*z - 380. Let a(b) = -b**2 + 2*b + 2. Let f(w) = -6*a(w) - o(w). Factor f(p).
4*(p - 92)*(p - 1)
Let i(s) = 715*s**3 - 2045*s**2 + 1490*s + 110. Let g(y) = 65*y**3 - 186*y**2 + 135*y + 10. Let t(h) = 45*g(h) - 4*i(h). Factor t(d).
5*(d - 2)*(d - 1)*(13*d + 1)
Suppose c + 2*n = 6, c + 13*n - 12 = 9*n. Suppose -37*t + c = -0. Factor -2/21*b**5 + 0 + t*b**2 + 0*b**4 + 2/21*b**3 + 0*b.
-2*b**3*(b - 1)*(b + 1)/21
Let k = -14/81 + -287/1620. Let p = k + 37/20. Suppose 3*x + 0 - p*x**2 = 0. Calculate x.
0, 2
What is a in 11605*a**2 + 11607*a**2 - 190*a - 23213*a**2 - 55*a - 1200 = 0?
-240, -5
Determine s, given that -s**3 - 26*s**3 - 2368 + 16908*s - 13831*s**2 - 4488 + 1216 + 1177*s**2 = 0.
-470, 2/3
Let i(y) = 2*y**2 + 2*y - 17. Let j be i(-4). Let x be 164/j*4/(-24) - -4. Factor 0 - 2/7*v**2 + 4/21*v + x*v**3.
2*v*(v - 2)*(v - 1)/21
Factor -566/3*p**2 + 2/3*p**4 + 280/3*p**3 + 284/3*p + 0.
2*p*(p - 1)**2*(p + 142)/3
Let l(z) = 8*z**4 - 8*z + 6. Let s(i) = i**4 + i**3 - i**2 - i + 1. Suppose 4*u + 3 = 11. Suppose u*n - 10 = 2. Let d(o) = n*s(o) - l(o). What is g in d(g) = 0?
0, 1
Let f(t) = 14*t**3 - 2236*t**2 + 2210*t + 4364. Let x(k) = -5*k**3 + 746*k**2 - 737*k - 1452. Let j(w) = -3*f(w) - 8*x(w). Determine m, given that j(m) = 0.
-1, 2, 369
Let j(q) be the second derivative of -q**4/4 + 301*q**3/2 - 450*q**2 - 1594*q. Factor j(w).
-3*(w - 300)*(w - 1)
Let w(q) = 6*q**3 - 49*q**2 + 37*q + 40. Let x(s) = -70*s**3 + 570*s**2 - 445*s - 480. Let f(b) = 25*w(b) + 2*x(b). Factor f(o).
5*(o - 8)*(o - 1)*(2*o + 1)
Let v = -58117 - -58126. What is x in v + 121/4*x**2 + 33*x = 0?
-6/11
Suppose z + 7*t - 144 = 12*t, 3*z - 3*t - 456 = 0. Let x = z + -152. Solve 0*a + 2/5*a**4 + 4/5*a**3 + 2/5*a**x + 0 = 0 for a.
-1, 0
Let l = 511 + -520. Let u be (-12)/8*12/l. Factor 2/5*b**3 + 2*b - 8/5*b**u - 4/5.
2*(b - 2)*(b - 1)**2/5
Let s(q) = -q**3 - q**2 + 1. Let i be -34*1/(-2) + 4. Let l(k) = -33*k**2 - i*k**3 + 7*k**2 + 15*k - 4*k**2 + 18. Let p(o) = -l(o) + 18*s(o). Factor p(j).
3*j*(j - 1)*(j + 5)
What is p in -24/11*p**2 + 0 - 14/11*p**4 + 0*p - 2/11*p**5 - 32/11*p**3 = 0?
-3, -2, 0
Suppose -97/2*r - 32 - 1/4*r**3 - 67/4*r**2 = 0. Calculate r.
-64, -2, -1
Let c(n) = -6*n**2 - 176*n + 162. Let s(a) = -28*a**2 - 706*a + 644. Let p(w) = -9*c(w) + 2*s(w). What is r in p(r) = 0?
1, 85
Let w(d) be the second derivative of -d**6/180 + 19*d**5/60 - 17*d**4/6 - 175*d**3/6 - 67*d. Let x(h) be the second derivative of w(h). Factor x(k).
-2*(k - 17)*(k - 2)
Let q be ((-8 - -10) + 0)*1. Let t(y) be the second derivative of 5/12*y**4 + 5/6*y**3 + 0 - 5*y**2 - q*y. Find p such that t(p) = 0.
-2, 1
Factor 8929/8*q**3 - 89/4*q**4 + 1/8*q**5 - 22675/2*q**2 + 42662*q - 55112.
(q - 83)**2*(q - 4)**3/8
Let s(j) = -23*j**4 - j**3 + 454*j**2 + 476*j - 11. Let d(m) = -2*m**4 + m**3 - m**2 - 1. Let c(t) = 33*d(t) - 3*s(t). Factor c(y).
3*y*(y - 17)*(y + 1)*(y + 28)
Factor 2/3*d**3 - 28/3*d**2 + 88/3*d - 80/3.
2*(d - 10)*(d - 2)**2/3
Let l be (-84 + 86)*10/(-4). Let i be (1 + 1)*(6 + l). Determine u so that -6/5*u - 8/5*u**3 - 14/5*u**i + 0 = 0.
-1, -3/4, 0
Let p = 2075/4952 + -182/619. What is m in 0 + p*m**5 + 1/8*m**3 + 0*m**2 + 1/4*m**4 + 0*m = 0?
-1, 0
Let l(c) = -2*c**3 + 205*