*g**4 + 41. Solve v(i) = 0.
-1, -3/4, 1
Let j(b) = b + 9. Let q be j(-6). Suppose r - 8 = -5*l, 5*l - q*r - r - 18 = 0. Suppose 1265*f - f**3 - 1255*f + 3*f**2 + l*f**2 - 4*f**3 = 0. What is f?
-1, 0, 2
Let j = -4217944/3 + 1405991. Determine l, given that -26/3*l + 1/3*l**5 + j*l**2 + 8/3 - 1/3*l**4 - 11/3*l**3 = 0.
-4, 1, 2
Let q(w) = -w**3 + 9*w**2 + 33*w - 6. Let a be q(12). Let n be (4 - a/(-12))*0. Let n*r + 0 + 2/7*r**3 - 1/7*r**4 + 0*r**2 = 0. Calculate r.
0, 2
Let p be (-32508)/(-6966)*(-60)/(-98). Suppose -2/7*j**3 + 0 + 2*j**2 - p*j = 0. Calculate j.
0, 2, 5
Let y be (((-32)/(-84))/(374/1309))/(4/9). Find h such that 2/7*h**y + 0 + 18/7*h**2 - 20/7*h = 0.
-10, 0, 1
Let b(o) = 2*o**3 - o**2 - 10*o. Let f be b(3). Factor 2*u**4 - 6*u**4 + u**4 - f*u**3 - 2*u**4.
-5*u**3*(u + 3)
Suppose 5*c = 19*c - 28. Suppose -68 + 76 = c*h. Let -v + 24*v**5 - 2*v**3 - 25*v**5 + h*v**3 = 0. Calculate v.
-1, 0, 1
Factor -2295/2*u - 1215 - 675/2*u**2 - 45/2*u**3 + 5/2*u**4.
5*(u - 18)*(u + 3)**3/2
Suppose 1/3*r**4 + 8/3*r**2 + 1/3*r**5 + 0*r + 0 - 10/3*r**3 = 0. Calculate r.
-4, 0, 1, 2
Let c(n) be the first derivative of -130 - 1/4*n**4 - 5*n**2 - 7/3*n**3 + 0*n. Factor c(s).
-s*(s + 2)*(s + 5)
Suppose 238*g + 2*r = 237*g + 36, -g - 28 = -2*r. Factor 20/3 + 2/3*l**g + 6*l**3 + 18*l + 50/3*l**2.
2*(l + 1)**2*(l + 2)*(l + 5)/3
Let k(i) = i**3 + 11*i**2 - 12*i + 27. Let o be k(-17). Let c = -1500 - o. Let 2*y - 8/3*y**2 - 4/3*y**c + 0 - 2/3*y**5 + 8/3*y**4 = 0. What is y?
-1, 0, 1, 3
Suppose 5*p - 432 = -3*l, -15*l + 20*l - 440 = -5*p. Factor -69*z - p*z - 89*z + 3042 + 2*z**2 + 54*z + 32*z.
2*(z - 39)**2
Suppose -2*a - 5*u = a - 347, -5*a + 600 = 4*u. Let m be a/30 - (-22)/33. What is s in -16/5*s**3 - m*s**2 - 16/5*s - 4/5*s**4 - 4/5 = 0?
-1
Let r(i) be the first derivative of i**5/15 - 94*i**4/3 + 12272*i**3/3 - 138368*i**2/3 + 541696*i/3 + 5359. Factor r(f).
(f - 184)**2*(f - 4)**2/3
Let x(z) be the second derivative of 4/7*z**2 - 1/42*z**4 + 0 - z + 0*z**3. Solve x(p) = 0.
-2, 2
Suppose 13*c + 242 - 216 = 0. Let h(w) = w**3 - 3*w**2 - 13*w - 3. Let n be h(c). What is k in 3/5*k**4 - 3/5*k**5 + 6/5*k - n*k**2 + 9/5*k**3 + 0 = 0?
-2, 0, 1
Let k(q) be the second derivative of 163*q**3/6 + 247*q**2 - 196*q + 2. Let b be k(-3). What is t in -1/6*t**b + 1/6*t**3 - 1/6*t**2 + 1/6*t**4 + 0*t + 0 = 0?
-1, 0, 1
Let w(o) be the first derivative of 112*o**3 - 48/5*o**5 + 22*o**4 + 0*o + 2/3*o**6 + 268 + 98*o**2. Factor w(y).
4*y*(y - 7)**2*(y + 1)**2
Let a(s) be the first derivative of 21*s**4/16 + 117*s**3/4 - 60*s**2 + 27*s - 466. Factor a(q).
3*(q - 1)*(q + 18)*(7*q - 2)/4
Let t be ((-1 - -9)/(5 + 134/(-26)))/(-30). Factor 8/5*h - 2/15*h**2 + t.
-2*(h - 13)*(h + 1)/15
Factor 13*i - i**2 - 4*i**2 + 3*i**2 + i**3 - 10*i**2 - 2*i**2.
i*(i - 13)*(i - 1)
Let a(x) = -x - 24. Let m be a(-29). Suppose 4*y - m*z = 15 - 4, 2*y - 13 = -5*z. Suppose -3/7*c**3 - 3/7*c**y + 9/7*c**2 + 6/7 + 15/7*c = 0. What is c?
-1, 2
Suppose -341*p + 881*p - 1620 = 0. Determine g, given that 60/7 - 3/7*g**4 + 51/7*g**2 - 108/7*g + 0*g**p = 0.
-5, 1, 2
Let s be (650/(-125))/((-4)/30). Let z = s - 189/5. Factor -z*o**3 + 0*o**2 + 6/5*o + 3/5 - 3/5*o**4.
-3*(o - 1)*(o + 1)**3/5
Suppose -14540*g + 14593*g - 106 = 0. Let -2*h**4 - 2/3*h**3 + 0 + g*h**2 + 2/3*h**5 + 0*h = 0. What is h?
-1, 0, 1, 3
Let h(i) = -i**4 - 21*i**3 - 31*i**2 + 117*i - 66. Let k(z) = -5*z**4 - 106*z**3 - 157*z**2 + 586*z - 329. Let p(a) = -11*h(a) + 2*k(a). What is c in p(c) = 0?
-17, -4, 1
Let t(w) = w**5 + 53*w**4 - 455*w**3 + 751*w**2 + 5. Let z(b) = -3*b**5 - 132*b**4 + 1137*b**3 - 1878*b**2 - 12. Let q(x) = 12*t(x) + 5*z(x). Factor q(y).
-3*y**2*(y - 3)**2*(y + 14)
Factor -36226 - 194*c + 35486 - 551*c + 3*c**2 - 8*c**2.
-5*(c + 1)*(c + 148)
Let g(k) be the second derivative of k**4/4 - 21*k**3 + 324*k**2 + 274*k. Solve g(c) = 0.
6, 36
Let q(a) = -7168*a - 7168. Let w be q(-1). Suppose 62/3*v + w - 2/3*v**2 = 0. What is v?
0, 31
Let c(w) be the second derivative of -w**6/1800 + 11*w**5/300 - w**3/2 - w**2 - w + 29. Let n(p) be the second derivative of c(p). Factor n(d).
-d*(d - 22)/5
Suppose j + 4*f = 827, 0*j + 4*j - 3308 = -4*f. Let l = j - 9093/11. Factor l*g - 2/11*g**2 - 2/11.
-2*(g - 1)**2/11
Let a be ((-11)/(-22))/((-1)/4*2). Let c be (-2 - a)*12/(-6). Factor -2*s**4 + 3*s**2 + 4 - 12*s**3 + 6*s**3 + 6*s - 3*s**2 - c*s**2.
-2*(s - 1)*(s + 1)**2*(s + 2)
Suppose -986 - 3631 = -1114*i - 425*i. Solve -4/7*w**4 + 4/7*w**2 + 0*w - 4/7*w**5 + 0 + 4/7*w**i = 0 for w.
-1, 0, 1
Let b(i) be the first derivative of -2*i**3/9 - 2*i**2 - 16*i/3 + 2693. Factor b(k).
-2*(k + 2)*(k + 4)/3
Let 131/5*r**2 - 1312/5*r + 364/5 + 7/5*r**3 = 0. What is r?
-26, 2/7, 7
Let v(h) = -9*h**2 - 52*h - 54. Let z(j) = 3*j**2 + 17*j + 18. Let l = -200 - -196. Let p(k) = l*v(k) - 11*z(k). What is b in p(b) = 0?
-6, -1
Let d(b) be the third derivative of -10*b**2 + 0 + 1/30*b**5 + 0*b - 1/4*b**4 - 4/3*b**3. Suppose d(l) = 0. Calculate l.
-1, 4
Let n(i) be the third derivative of i**8/1680 - i**7/840 - i**6/720 + i**4/24 - 7*i**3/3 + 3*i**2 - 11. Let w(v) be the second derivative of n(v). Factor w(r).
r*(r - 1)*(4*r + 1)
Let s(l) = -11*l**2 - 192*l - 3068. Let g(r) = 6135 + 18*r**2 - 1410*r + 6*r**2 + 1794*r. Let q(d) = 4*g(d) + 9*s(d). Factor q(c).
-3*(c + 32)**2
Let c(o) = -5*o**3 + 1053*o**2 + 5*o - 1056. Let h(y) = -44*y**3 + 9474*y**2 + 44*y - 9500. Let m(i) = 52*c(i) - 6*h(i). What is u in m(u) = 0?
-1, 1, 522
Factor 32768/11*x + 128/11*x**3 - 3072/11*x**2 - 131072/11 - 2/11*x**4.
-2*(x - 16)**4/11
Let v(u) be the first derivative of 7*u**3/3 - 5*u**2 - 17*u - 1. Let z(y) = 15*y**2 - 21*y - 36. Let n(l) = -9*v(l) + 4*z(l). Factor n(b).
-3*(b - 3)*(b + 1)
Let l(i) = -84*i**2 + 6*i - 120. Let h be l(-12). Let m be 12/8*h/(-504). Determine z so that -m*z**3 + 36/7 + 64/7*z**2 + 156/7*z = 0.
-3/8, 1
Let y(s) be the third derivative of s**8/504 - 71*s**7/630 - s**6/10 + 2038*s**2. Let y(d) = 0. Calculate d.
-1/2, 0, 36
Let z = -29626/25 + 29636/25. Find n, given that 0 + 2*n - z*n**3 - 8/5*n**2 = 0.
-5, 0, 1
Let i(p) = -2*p + 5. Let z be i(-8). Suppose a + 9 - z = -4*w, -3*a - w = -3. Let 2/19*g**2 - 2/19*g**5 + 0*g + a + 6/19*g**4 - 6/19*g**3 = 0. What is g?
0, 1
Let n(r) be the third derivative of r**5/360 - r**4/36 - 455*r**3/12 + 4*r**2 + 1324*r. Factor n(x).
(x - 39)*(x + 35)/6
Let f(q) = 2*q + 0 - 1 + 0*q**4 - 1 + 4 + 2*q**4. Let t(c) = -2*c**4 - 3*c - 3. Let i = 14 - 20. Let b(g) = i*f(g) - 4*t(g). Let b(a) = 0. What is a?
0
Let x be (-78)/(-65) + 9/5. Solve o**3 + 20*o**4 + x*o**2 - 5*o**5 + 0*o**3 - 23*o**2 + 4*o**3 = 0 for o.
-1, 0, 1, 4
Let i(k) = -k**2 + 11*k + 105. Let b be i(17). Solve -57*y**2 + 9*y**b - 1089*y - 5*y**3 - 5*y**3 - 9*y**2 = 0.
-33, 0
Factor 124*j - 182*j - 70*j + 975 - 4*j**2 + 501.
-4*(j - 9)*(j + 41)
Suppose -10550*a - 3*l = -10548*a - 64, 15*l = a + 298. Solve 2048/13 - 128/13*g + 2/13*g**a = 0.
32
What is b in 0 - 4*b**4 - 76/9*b**2 + 28/3*b**3 + 8/3*b + 4/9*b**5 = 0?
0, 1, 6
Let s(l) be the first derivative of 4/45*l**3 + 0*l**4 + 226 - 2/75*l**5 - 2/15*l + 0*l**2. Determine j so that s(j) = 0.
-1, 1
Let j be (-1 + 4)/(8/(-16)*-3). Factor -47*l - l**2 + 5*l**j + 41*l - 2*l**2.
2*l*(l - 3)
Let p be ((-2)/(-6))/(778/8169 + (-3)/(-42)). Solve 2/3*s**5 + 10/3*s - 4/3*s**2 - 4*s**3 + p - 2/3*s**4 = 0.
-1, 1, 3
Factor -2*g**2 + 40 + 82/3*g.
-2*(g - 15)*(3*g + 4)/3
Factor -2/5*f**3 - 398/5*f + 202/5*f**2 + 198/5.
-2*(f - 99)*(f - 1)**2/5
Suppose 68/15*g**2 + 368/15 - 536/15*g - 8/3*g**4 + 142/15*g**3 - 2/15*g**5 = 0. Calculate g.
-23, -2, 1, 2
Let o(l) = l**3 - 7*l**2 - 7*l + 15. Let g be o(8). Let r(a) = -2*a**2 + 46*a + 2. Let d be r(g). Factor -1 - 1/6*x**d - 7/6*x.
-(x + 1)*(x + 6)/6
Let t be (((-11176)/9)/(-11))/(3/(-18)). Let i = t - -678. Suppose 0*b**2 - i*b**4 + 10/3*b**3 + 0*b + 0 = 0. Calculate b.
0, 5
Let m = 13 - 1. Suppose -m = 4*p - 8*p. Factor 3*w**4 + 3*w**p + 3*w**2 - 6*w**2 - 40*w + 22*w + 15*w.
3*w*(w - 1)*(w + 1)**2
Let h = 682705/48 + -14223. Let f(n) be the third derivative of 1/480*n**5 + 1/16*n**3 + 19*n**2 - h*n**4 + 0 + 0*n. Factor f(i).
(i - 3)*(i - 1)/8
Suppose 14*q = -25 + 11. Let v be q*1/((-5)/(-4)) + 1. Factor -v*s**3 + 1/5 + 3/5*s**2 - 3/5*s.
-(s - 1)**3/5
Let w(f) be the fi