y) = 7*y**2 - 512*y + 984. Let s(l) = -4*f(l) - 15*m(l). Factor s(o).
3*(o - 162)*(o - 2)
Suppose 0 = -4*p - 4*k + 196, -p + 12 = -5*k - 7. Suppose -5*s - p = -16*s. Let n**s + 9*n**3 - 19*n**3 + 8*n**3 = 0. Calculate n.
0, 2
Find c, given that -165/7*c**3 - 234*c - 1923/7*c**2 + 1680 + 27/7*c**4 + 3/7*c**5 = 0.
-7, -5, 2, 8
Let m(t) = -2*t**4 + t**3 - t**2 - t + 3. Let p(l) = -15*l**4 - 18*l**3 + 63*l**2 - 57*l + 27. Let k(q) = 9*m(q) - p(q). Solve k(a) = 0 for a.
0, 1, 4
Suppose -28*t + 3400 = -23*t. Let f(r) = 3*r**2 + r**2 - 26*r + t - 78*r. Let j(x) = -4*x**2 + 104*x - 681. Let a(d) = -5*f(d) - 4*j(d). Factor a(z).
-4*(z - 13)**2
Factor 0 - 3*p**3 - 4/3*p**2 + 12*p + 1/3*p**4.
p*(p - 9)*(p - 2)*(p + 2)/3
Let z(t) = 23 + 20 - 21*t - t**2 - 56. Let q be z(-17). Factor q*v**2 + 7*v**4 + 30*v + 16*v**4 - 18*v**4 + 30*v**3.
5*v*(v + 1)*(v + 2)*(v + 3)
Factor -13598*y + 4518*y + 4405*y + 4531*y + 4*y**2 + 1196.
4*(y - 23)*(y - 13)
Let w(k) = 6*k**2 - 3*k**3 - 2*k**3 + 4*k**3 - 12 - 20*k**2 - k. Let a be w(-14). Suppose 35*v**3 + 3*v**2 - 6*v**2 - v**2 - 6*v**a = 0. Calculate v.
0, 2/7
Let q(t) = 5*t**4 + 4*t**3 + 3*t**2 - t - 11. Let s(d) = 3*d**4 + 3*d**3 + 4*d**2 - 2*d - 10. Let m(n) = 2*q(n) - 3*s(n). Determine g, given that m(g) = 0.
-2, -1, 2
Let c(w) be the third derivative of w**7/210 - 191*w**6/120 - 193*w**5/60 + 191*w**4/24 + 32*w**3 + 958*w**2. Factor c(q).
(q - 192)*(q - 1)*(q + 1)**2
Let b(f) be the second derivative of f**4/60 + 71*f**3 + 226845*f**2/2 - 7*f + 240. Factor b(y).
(y + 1065)**2/5
Let o(b) be the first derivative of 5*b**4/4 - 995*b**3/3 + 1950*b**2 - 7523. Factor o(f).
5*f*(f - 195)*(f - 4)
Let z(t) = 2*t - 9. Let a be z(7). Suppose -15 = -10*r + a*r. Find w, given that -9*w**4 + 149*w**4 + 74*w**5 + 85*w**r - 9*w**5 + 10*w**2 = 0.
-1, -2/13, 0
Let 4/3*h**5 + 142540/3*h**3 - 7096896*h + 1628148*h**2 + 7294032 + 1316/3*h**4 = 0. Calculate h.
-111, 2
Let j = 5060/17 + 55144/85. Let h = j + -946. Determine g so that -h*g**2 - 72/5 + 24/5*g = 0.
6
Let r = -7 + 7. Suppose r = n - 4 + 2. Determine t, given that 52*t**4 - 41*t**3 - 2*t + 30*t**n - 14*t**3 - 22*t**4 - 3*t = 0.
0, 1/3, 1/2, 1
Let j = 2135 - -2110. Factor -662 - j + 130*w + 893 + w**3 - 2845 - 57*w**2 + 953*w.
(w - 19)**3
Let g(z) be the third derivative of 2/21*z**3 - 1/105*z**5 + 1 + 8*z**2 + 0*z + 0*z**4. Factor g(b).
-4*(b - 1)*(b + 1)/7
Let u(k) be the first derivative of -5*k**4/4 - 160*k**3/3 - 540. Factor u(n).
-5*n**2*(n + 32)
Suppose 34*j = 8 + 60. Let f(s) be the second derivative of -8/11*s**j + 133/110*s**5 - 29/33*s**4 + 6*s - 52/33*s**3 + 0 + 49/55*s**6. Let f(x) = 0. What is x?
-1, -2/7, 2/3
Suppose 4*o - 5*h = -102, -13125*h - 160 = -3*o - 13132*h. Let g be 1/(-3) + (0 - -1). Factor -g*i + 8/9 - 2/9*i**o.
-2*(i - 1)*(i + 4)/9
Let g(x) = -1319*x**2 + 6*x - 9 + 1333*x**2 - x**3 + 0*x. Let f(s) = s**3 - 13*s**2 - 5*s + 9. Let m(i) = 5*f(i) + 4*g(i). Factor m(q).
(q - 9)*(q - 1)*(q + 1)
Let y(d) = -18*d**2 + 35*d - 75. Suppose 0 = -l - q + 21, -2*l + 0*q + 3*q + 57 = 0. Let a(o) = 87*o**2 - 174*o + 375. Let v(r) = l*y(r) + 5*a(r). Factor v(s).
3*(s - 5)**2
Let o(s) be the second derivative of -s**4/18 + 23*s**3/9 + 26*s**2 - s - 2. Factor o(l).
-2*(l - 26)*(l + 3)/3
Let b(n) be the first derivative of -n**5/5 - 291*n**4 - 339886*n**3/3 - 338142*n**2 - 337561*n + 1982. Factor b(w).
-(w + 1)**2*(w + 581)**2
What is m in 98/3*m**4 - 2660/3*m**3 + 0 - 30976/3*m + 20416/3*m**2 = 0?
0, 2, 88/7
Let c(d) be the third derivative of -1/60*d**6 - 23*d**2 + 0 - 8/9*d**3 - 1/9*d**5 + 0*d - 1/945*d**7 - 11/27*d**4. Solve c(y) = 0 for y.
-3, -2
Suppose -3*n + 7*n = a - 1, -a = 4*n - 9. Find w, given that -7 + a + w**4 - 3*w + 6 + 3*w**3 - 5*w**2 = 0.
-4, -1, 1
Solve 28/9*p**2 + 4/3 + 34/9*p - 8/9*p**4 - 2/9*p**5 + 0*p**3 = 0.
-3, -1, 2
Factor 98/3*s**2 - 386/3*s + 128 - 1/6*s**3.
-(s - 192)*(s - 2)**2/6
Let o(c) be the first derivative of -c**6/75 + 4*c**5/25 + 3*c**4/10 + 32*c - 12. Let g(f) be the first derivative of o(f). Factor g(u).
-2*u**2*(u - 9)*(u + 1)/5
Let u(h) = 6*h - 9. Let t be u(10). Suppose m = -4*y + 4*m + t, y - 15 = 3*m. Factor 2*a - 2 + 6*a - y*a**2 + 8*a**3 - 29*a**4 + 27*a**4.
-2*(a - 1)**4
Let v(p) be the second derivative of 160/3*p**3 - 17/3*p**4 - 128*p**2 + 1/5*p**5 + 0 - 69*p. Factor v(t).
4*(t - 8)**2*(t - 1)
Let b(j) be the second derivative of -10*j**2 + 1/4*j**5 + 5/12*j**4 - 3*j - 13 - 10/3*j**3. Factor b(n).
5*(n - 2)*(n + 1)*(n + 2)
Let h(s) be the first derivative of s**5/330 - s**4/44 - 4*s**3/33 + 27*s**2 + 2*s + 83. Let c(y) be the second derivative of h(y). Factor c(u).
2*(u - 4)*(u + 1)/11
Suppose 12 = -3*i, 3*i = v - 23 - 10. Let d be 1*(-8 + 5)/v*-3. Factor -30/7*r + 75/7 + d*r**2.
3*(r - 5)**2/7
Let a(u) be the third derivative of u**5/180 + 457*u**4/36 - 305*u**3/6 + 112*u**2 - 16. Solve a(f) = 0 for f.
-915, 1
What is k in -30403*k**2 + 439*k**3 - 4988*k + 48*k**2 + 32468*k - 6300 + 406*k**3 = 0?
6/13, 35
Suppose 11*j - 15*j = 0. Let v(g) be the first derivative of 20 - 17 + g**3 + j*g**3. Factor v(l).
3*l**2
Suppose 0 = -1232*i + 1230*i - 3*z - 23, -1 = 4*i + z. Let b(h) be the second derivative of 0 + 1/4*h**5 - 8*h - 1/6*h**4 + h**i - 5/6*h**3. Factor b(f).
(f - 1)*(f + 1)*(5*f - 2)
Suppose 0 = -231*n + 91*n - 145*n + 1140. Suppose 4*a**3 + 1 - 8*a**n + 17/2*a + 39/2*a**2 = 0. Calculate a.
-1, -1/4, 2
Let y(z) be the first derivative of 0*z - 5/4*z**4 + 35/3*z**3 + 124 + 0*z**2. Factor y(c).
-5*c**2*(c - 7)
Let c be (8/(-3))/((-14)/63). What is v in 4 + 4*v**4 - 20*v**2 - 113*v + 125*v + 12 - c*v**3 = 0?
-1, 1, 4
Let a = 17/5159 + 5/67. Let n = 562/693 + a. Let -n - 2/9*x**2 + 10/9*x = 0. Calculate x.
1, 4
Let m(g) = -7*g**3 + 499*g**2 - 34267*g + 158755. Let z(w) = 10*w**3 - 750*w**2 + 51401*w - 238133. Let j(o) = -7*m(o) - 5*z(o). Let j(r) = 0. What is r?
5, 126
Let y(l) be the second derivative of -l**5/80 + l**4/48 + 11*l**3/6 - 21*l**2/2 - 3429*l. Suppose y(m) = 0. What is m?
-7, 2, 6
Let n(d) be the first derivative of -1/10*d**5 + 1/2*d**4 + 0*d**2 + 100 - 2/3*d**3 + 0*d. Factor n(z).
-z**2*(z - 2)**2/2
Suppose -a + 80 - 35 = 0. Let b = a + -38. Factor -b*i**2 + 2*i**3 - 6*i**3 - 2*i + 2243 - 2242.
-(i + 1)**2*(4*i - 1)
Let g(a) = 7*a + 68. Let s be g(-9). Let r be (-2 + s)/((-51)/(-2)). Factor 2/17*m**2 + 0 + r*m.
2*m*(m + 1)/17
Let u be 20/(-25) - 938/(-35). Solve -u - 37*k - 17*k**2 - 38*k**2 - 14 + 5*k**4 - 53*k = 0.
-2, -1, 4
Let z = 1210119/7 + -172865. Solve 12/7*j**2 + 0*j - z + 2/7*j**3 = 0.
-4, 2
Solve -152/3*q**4 + 290/3*q**3 + 0 - 52/3*q**2 + 10/3*q**5 + 0*q = 0.
0, 1/5, 2, 13
Find j, given that 3*j**2 - 569*j + j**2 + 533*j + 176 - 6*j**2 = 0.
-22, 4
Factor -16*a + 190/3 + 2/3*a**2.
2*(a - 19)*(a - 5)/3
Find x, given that -610 + 132*x**3 + 3*x**5 + 178 - 11*x**4 + 9*x**4 - 48*x**2 - 576*x + 7*x**4 + 34*x**4 = 0.
-6, -2, -1, 2
Let -956/3 + 2/3*l**2 + 158*l = 0. Calculate l.
-239, 2
Suppose 3*j = 2*j + 9. Suppose 2135*i + 24 = 2147*i. Determine p so that -16*p - 2 - j + 4*p**i - 9 = 0.
-1, 5
Suppose -45 = 24*w - 113 + 17 + 3. Let -1/9*j**4 - j - 5/3*j**w - 7/9*j**3 + 0 = 0. Calculate j.
-3, -1, 0
Factor 5/2*q**3 + 65/4*q**2 + 25/2*q - 5/4*q**4 + 0.
-5*q*(q - 5)*(q + 1)*(q + 2)/4
Let j(d) = -183*d**2 + 114*d + 7. Let u(c) = -26*c**2 - 4*c + 1. Let h(i) = -2*j(i) + 14*u(i). What is m in h(m) = 0?
0, 142
Let k(n) = -10*n**2 + 213*n - 728. Let l be k(17). Factor -12/7*m + 4/7*m**l - 10/7 + 18/7*m**2.
2*(m - 1)*(m + 5)*(2*m + 1)/7
Factor 17 + 257*a**4 - 15 + 773*a**3 - 29146*a + 777*a**2 + 29409*a.
(a + 1)**3*(257*a + 2)
Let x = 1860552 + -1860549. Let z be (3 - 2) + (-5)/(-4). Solve 3/2*h**x + z + 9/4*h**4 - 3/4*h**5 - 9/2*h**2 - 3/4*h = 0 for h.
-1, 1, 3
Find r such that 128683*r**4 - 128875*r**4 - 3*r**5 - 2*r + 2*r + 195*r**3 = 0.
-65, 0, 1
Let x = -65 - -68. Factor 3*h**5 - x*h**3 + 13868*h**4 - 13868*h**4.
3*h**3*(h - 1)*(h + 1)
Let m(t) be the third derivative of t**9/128520 - t**8/28560 - 2*t**7/5355 - 127*t**4/12 - 3*t**2 + 4. Let g(r) be the second derivative of m(r). Factor g(d).
2*d**2*(d - 4)*(d + 2)/17
Factor 96 + 66*v - 4*v**2 - 10*v**2 - 10*v**2 + 20*v**2 + 26*v.
-4*(v - 24)*(v + 1)
Let c(z) = z**3 + 3*z**2 + z - 1. Let v(d) = 7*d**3 - 1335*d**2 + 1373*d - 9. Let a(k) = -18*c(k) +