*f.
3*l**2*(l - 1)*(l + 2)**2/4
Let g be (1084/(-134) + 8)*(-3)/(-3). Let w = 31/402 - g. Find t, given that 1/6*t**4 + 1/2*t**2 - w*t - 1/2*t**3 + 0 = 0.
0, 1
Suppose -3*w - 5*q = -2*q - 363, -2*q = -4*w + 514. Let r = -123 + w. Solve 190*x**4 + 2*x**5 + 2*x**2 - 200*x**4 + 8 - 16*x + 0*x**2 + 14*x**r = 0 for x.
-1, 1, 2
Determine b so that 130/3*b**3 + 50/3*b - 3/2 - 25/6*b**4 - 163/3*b**2 = 0.
1/5, 1, 9
Let v = -211 + 215. Factor -c**2 + 33*c - v*c**2 + 8*c**2 - 16 + 46.
3*(c + 1)*(c + 10)
Suppose -3*f = -10*f + 21. Determine l so that -3*l + 0*l**3 + 3*l**3 + f*l = 0.
0
Let t(q) be the third derivative of q**5/210 - q**4/3 - 29*q**3/21 - q**2 - 26*q - 61. Determine d so that t(d) = 0.
-1, 29
Find i such that 2*i**3 + 1305*i**2 - 90795*i + 30236 - 7*i**3 - 61783 + 6300*i - 54258 = 0.
-1, 131
Let z(a) be the first derivative of 2*a**3/39 + 2592*a**2/13 - 5186*a/13 + 14605. Find c such that z(c) = 0.
-2593, 1
Let d be (-4)/16 + (-218)/(-8). Let f = -216772 + 216772. Determine c so that 18*c**2 + 33/4*c**3 - d*c + 3/4*c**4 + f = 0.
-6, 0, 1
Factor -2/9*h**2 + 26/9*h + 460/9.
-2*(h - 23)*(h + 10)/9
Let o = 601494 + -601494. Determine k, given that -3/7*k + o - 9/7*k**3 + 3/7*k**4 + 9/7*k**2 = 0.
0, 1
Suppose -18411*s = -18421*s. Let 0 + 6/7*b**3 + 90/7*b**2 + s*b = 0. Calculate b.
-15, 0
Let t(d) be the third derivative of d**6/60 + 4*d**5/15 + 7*d**4/12 - 626*d**2. Solve t(z) = 0 for z.
-7, -1, 0
Let k(u) = 8*u**3 - 7*u**2 - 5*u + 16. Let y(j) = -j - j**2 - 16*j**3 + 2*j**2 + 15*j**3. Let d(q) = -3*k(q) - 21*y(q). What is n in d(n) = 0?
-4, 2
Suppose -4*v - f = f - 18, 5*f - 5 = 0. Factor 20*c + v*c + 2*c**2 + 0*c - 26.
2*(c - 1)*(c + 13)
Let h(z) be the first derivative of z**3/3 - 127*z**2 - 771*z + 221. Factor h(g).
(g - 257)*(g + 3)
Let p be (27/(-30))/9 - 403/(-130). Let s be (-2)/p + 60/54. Solve 0 - s*f - 1/3*f**2 + 1/9*f**3 = 0.
-1, 0, 4
Let f = 1897/2589 + -57/863. Determine k so that f*k + k**2 - 1/3 = 0.
-1, 1/3
Suppose -10 = -5*i + 5*q, 3*i - 4 = i + 5*q. Determine y, given that -y**4 - 15*y**2 - 30*y**3 - 6*y**4 - 18*y**2 - y**4 - 12*y - y**i = 0.
-2, -1, -3/4, 0
Let q = -1424 + 1427. Suppose -3*m + 4 = 8*z - 24, -z = -q*m + 10. Factor 2*b**3 - 2/9*b**2 - 2*b + 0 + 2/9*b**m.
2*b*(b - 1)*(b + 1)*(b + 9)/9
Let y be (-4)/120*-94 - (-2)/(-15). Factor 9 - 23 + 2*g**4 - 14*g**2 + 10*g - 10*g**y + 26.
2*(g - 6)*(g - 1)*(g + 1)**2
Factor 18/7*o - 3/7*o**2 - 24/7.
-3*(o - 4)*(o - 2)/7
Suppose 5*p + 5351 = 4*i, -2*p + 6*i = 4*i + 2142. Let r = p - -4052. Factor -298 + 55*s**2 - r - 1176*s - 2205 - 139*s**2 - 2*s**3.
-2*(s + 14)**3
Let h(n) be the first derivative of n**3/3 - n**2 - n - 31. Let x be h(-1). Determine b, given that 97*b**x + 40 + 19*b - 127*b - 25*b**2 = 0.
2/3, 5/6
Let d = -14 - -16. Let q(l) be the first derivative of -8/15*l**d - 2/45*l**3 + 0*l + 40. Factor q(x).
-2*x*(x + 8)/15
Let n(w) = -2*w**2 + 26*w + 7. Let i be n(13). Suppose -i*r = -2*r - 20. What is g in 0*g**2 + 15*g**2 - 24*g**3 - 6*g + 3*g**r + 12*g**3 = 0?
0, 1, 2
Let f(r) = 11*r**3 - 308*r**2 + 330*r + 589. Let z(h) = -2*h**3 + h**2 - 6*h + 3. Let c(l) = -f(l) - 5*z(l). Suppose c(q) = 0. What is q?
-1, 2, 302
Let a(f) be the first derivative of 121*f**6/36 + 11*f**5/6 - 541*f**4/24 - 211*f**3/18 + 19*f**2 - 6*f - 2068. Suppose a(g) = 0. What is g?
-2, -1, 3/11, 2
Suppose -10 = -2*g - 0*g. Suppose 3*j = 3*z - 11 + 32, 4*j = -3*z - 7. Let -q**3 + 5*q**2 + q**4 + 9*q**j + 6*q**3 - g*q**2 + 7*q + 2 = 0. What is q?
-2, -1
Suppose 3*c + 28 = 5*r + 3, 4*r - 20 = -2*c. Let 71*j**4 + 3*j**r - 13*j**5 - 37*j**4 + 8*j**2 + j**3 - 22*j**3 - 11*j**3 = 0. What is j?
0, 2/5, 1, 2
Let b(c) = -9*c**3 - 387*c**2 - 477*c - 44. Let r(k) = -10*k**3 - 386*k**2 - 476*k - 56. Let t(x) = -4*b(x) + 5*r(x). Factor t(m).
-2*(m + 1)*(m + 26)*(7*m + 2)
Let w(p) be the first derivative of -p**6/720 + p**5/12 + 11*p**4/12 + 5*p**3 + 3*p**2/2 - 316. Let g(s) be the third derivative of w(s). Factor g(j).
-(j - 22)*(j + 2)/2
Let g(w) be the second derivative of -3*w**5/40 + 48*w**4 - 12288*w**3 + 1572864*w**2 + 8*w + 11. Factor g(x).
-3*(x - 128)**3/2
Factor 1252*r**2 + 5*r**5 - 220 + 50*r**4 + 1186*r**2 - 625*r - 2988*r**2 - 100*r**3.
5*(r - 4)*(r + 1)**3*(r + 11)
Suppose 31*m - 3429 = -3367. Let 0 + 2*j**4 + 0*j + 13/4*j**3 - 7/4*j**5 - 1/2*j**m = 0. What is j?
-1, 0, 1/7, 2
Let v(l) be the second derivative of 1/2*l**2 + 5/72*l**4 + 0 - 13*l - 1/45*l**5 + 1/360*l**6 - 1/9*l**3. Let r(b) be the first derivative of v(b). Factor r(q).
(q - 2)*(q - 1)**2/3
Let l = -19060923/117515 + -2/23503. Let t = l - -163. Factor 1/5*m**3 + 8/5*m + m**2 + t.
(m + 1)*(m + 2)**2/5
Let z(h) be the first derivative of h**6/3 - 12*h**5/5 + 9*h**4/2 - 8*h**3/3 + 2697. Factor z(c).
2*c**2*(c - 4)*(c - 1)**2
Let y(l) be the first derivative of -l**4/2 - 4*l**3/3 + 3*l**2/4 + 9*l/2 + 1163. Solve y(s) = 0.
-3/2, 1
Let f(k) be the third derivative of 68*k**2 - 7/6*k**4 - 3/5*k**6 + 8/105*k**7 + 0*k**3 + 0 + 1/84*k**8 + 4/3*k**5 + 0*k. Factor f(p).
4*p*(p - 1)**3*(p + 7)
Suppose -1/2*i**2 + 237/2*i + 119 = 0. What is i?
-1, 238
Let s(r) be the third derivative of -3*r**8/112 + 5*r**7/14 - 31*r**6/20 + 33*r**5/10 - 31*r**4/8 + 5*r**3/2 - 6*r**2 + 83*r. Let s(n) = 0. Calculate n.
1/3, 1, 5
Suppose -13*c = -32*c + 646. Let w be c/272 - 94/(-16). Factor 3/2 + 3/2*j**4 - 6*j - w*j**3 + 9*j**2.
3*(j - 1)**4/2
Let b = -16/11491 + 11571/57455. Factor 0 - 26/5*q + b*q**2.
q*(q - 26)/5
Let g(m) = 5*m**2 - 40*m + 45. Suppose -136 + 126 = -2*t. Let z(d) = -5*d**2 + 39*d - 46. Let l(o) = t*z(o) + 6*g(o). Factor l(p).
5*(p - 8)*(p - 1)
Suppose -3*j - 24 = -5*a, 4*a = 31*j - 28*j + 3. Solve -105/2*h + j*h**2 + 26 - 1/2*h**3 = 0 for h.
1, 52
Let n(o) be the third derivative of o**8/560 - 6*o**7/175 + 7*o**6/40 + 3*o**5/25 - 9*o**4/10 - 41*o**2 - 9*o. Find b, given that n(b) = 0.
-1, 0, 1, 6
Let j = 1840 + -1836. Let u(k) be the first derivative of 24*k**4 - 36/5*k**5 - 88/3*k**3 + 16*k**2 - j*k - 8. What is i in u(i) = 0?
1/3, 1
Let g be 125/40 + 1/(-8) - -1. Factor 9*n**3 + 8 + n**g - 45*n + n**2 - 58 + 12*n**2.
(n - 2)*(n + 1)*(n + 5)**2
Let t be (15 - -67) + (2 - (5 - 2)). Let w be (-356)/(-63) + -9 + 711/t. Determine s so that -2*s**4 + 32/7*s - 50/7*s**2 + w*s**3 - 8/7 + 2/7*s**5 = 0.
1, 2
Let l be (31 - 15)/48*(-6)/(-4). Let o(v) be the first derivative of l*v**2 + 1/3*v**3 + 0*v - 1/4*v**4 - 1/5*v**5 - 19. What is w in o(w) = 0?
-1, 0, 1
Let -8/11*f**3 + 2/11 + 12/11*f**2 + 2/11*f**4 - 8/11*f = 0. Calculate f.
1
Let b(a) = -4*a**2 + 30*a + 10. Let p(j) = 13*j**2 - 96*j - 29. Let s(y) = -10*b(y) - 3*p(y). Factor s(t).
(t - 13)*(t + 1)
Let j be 24/28 + (-4650)/4375. Let y = 659/1050 - j. Factor y*q**2 + 120 + 20*q.
5*(q + 12)**2/6
Factor -31 + 177*t**2 - 355*t**2 - 54*t + 179*t**2 - 129 + 18*t.
(t - 40)*(t + 4)
Let l be -2 - (-6 + (-264)/16)/2 - 8. Factor -320 - l*u**2 + 40*u.
-5*(u - 16)**2/4
Let s(y) be the first derivative of y**3/6 - 277*y**2 + 153458*y + 280. Let s(g) = 0. Calculate g.
554
Let u(k) = 33*k**4 - 12*k**3 + 177*k**2 - 285*k + 30. Let h(l) = -9*l**4 + 3*l**3 - 44*l**2 + 72*l - 8. Let n(p) = -15*h(p) - 4*u(p). Factor n(w).
3*w*(w - 2)**2*(w + 5)
Let d(t) be the first derivative of -5*t**4/12 - 5*t**3/9 + 185*t**2/3 + 240*t + 2851. Factor d(r).
-5*(r - 9)*(r + 2)*(r + 8)/3
Let g(v) = -v**2 + 7*v + 2. Let a be g(6). Let i(x) = 533*x + 5870. Let c be i(-11). Determine h, given that -5*h - 9*h**2 + a*h**2 - 4*h**3 - c*h**2 + h = 0.
-1, 0
Let s(o) be the third derivative of -o**6/960 - 9*o**5/160 - 17*o**4/48 + 2*o**3 - 837*o**2. Let s(i) = 0. Calculate i.
-24, -4, 1
Let y(p) be the first derivative of 4*p**3/21 - 130*p**2/7 - 592. Factor y(b).
4*b*(b - 65)/7
Let j(h) be the first derivative of h**3/3 - 57*h**2/2 + 212*h + 1729. Factor j(f).
(f - 53)*(f - 4)
Let i = -1668035 + 1668037. Factor -105/4*r + 39/4*r**i - 3/4*r**3 - 147/4.
-3*(r - 7)**2*(r + 1)/4
Let x(h) be the first derivative of h**8/336 - h**7/56 + h**6/72 + h**5/8 - 5*h**4/12 - 31*h**3/3 + 1. Let i(f) be the third derivative of x(f). Factor i(r).
5*(r - 2)*(r - 1)**2*(r + 1)
Let q(v) be the third derivative of v**8/1176 + 22*v**7/735 - 7*v**6/30 + 76*v**5/105 - 103*v**4/84 + 26*v**3/21 + 2113*v**2. Factor q(k).
2*(k - 1)**4*(k + 26)/7
Let o be ((-64