t c = 71 + -109. Let f = -36 - c. Determine s so that 16*s**3 + 6*s**2 - 20*s**2 + 8*s - 6*s**f - 7*s**4 + 3*s**4 = 0.
0, 1, 2
Let t(u) be the first derivative of u**4/28 - 25*u**3/7 + 684*u**2/7 + 1444*u/7 + 443. What is r in t(r) = 0?
-1, 38
Let m = -1196 - -1336. Let q = m + -138. Determine a, given that 2/3*a**q + 6*a - 2*a**4 + 4/3 - 26/3*a**3 + 8/3*a**5 = 0.
-1, -1/4, 1, 2
Solve 0*q + 0 - 2/9*q**3 - 250/9*q**2 = 0.
-125, 0
Let d = 466 - 464. Suppose 845*i**4 + 20 + 58*i**d - 80*i - 20*i**5 - 4*i**2 - 885*i**4 - 10*i**2 + 55*i**3 + 21*i**2 = 0. Calculate i.
-2, 1/2, 1
Let t(d) be the second derivative of 4*d**5/25 - 14*d**4/3 + 1537*d**3/30 - 2523*d**2/10 + 81*d. Factor t(z).
(z - 3)*(4*z - 29)**2/5
Let d be (-629220)/(-28) + (-708)/4956. Factor -d*o**2 - 2382032/3*o - 848/3*o**3 - 31561924/3 - 4/3*o**4.
-4*(o + 53)**4/3
Determine r so that -90*r**3 + 210*r**2 - 108*r**4 + 4*r**5 + 262*r**2 - 334*r + 19*r - 7*r**5 + 44*r**2 = 0.
-35, -3, 0, 1
Let f(v) be the third derivative of -v**6/40 + 3*v**5/4 + 12*v**4 + 40*v**3 + 84*v**2 + 2*v - 7. Find r, given that f(r) = 0.
-4, -1, 20
Let m be ((-119)/612 + 1/9)/(1/(-4)). Let p(h) be the first derivative of 13 + 4*h + 2*h**2 + m*h**3. Suppose p(l) = 0. What is l?
-2
Let -9*y**3 + 36*y**2 - 108*y + 264*y + 338 - 3*y**4 - 194 = 0. What is y?
-3, -2, 4
Suppose -5*t + 513 = -5*y - 32, 4*y - t + 424 = 0. Let n = -101 - y. Determine q so that -8/5*q**3 + 8/5 + 4/5*q - 16/5*q**2 + 4/5*q**5 + 8/5*q**n = 0.
-2, -1, 1
Let x(m) be the second derivative of -m**7/105 - 4*m**6/75 - m**5/50 + m**4/5 - 1032*m. Solve x(k) = 0.
-3, -2, 0, 1
Let i be (-93)/(-5) - ((44 - 25) + -13 - 22 - -27). Determine j, given that 16/5*j**2 + 2/5*j**3 + 24/5 + i*j = 0.
-4, -3, -1
Suppose -706*g**2 + 36*g**3 + 57*g + 39*g + 16 + 822*g**2 = 0. Calculate g.
-2, -1, -2/9
Let k(z) be the second derivative of -z**5/105 - 17*z**4/21 - 22*z**3/7 - 151*z**2/2 - 75*z - 2. Let i(s) be the first derivative of k(s). Solve i(t) = 0 for t.
-33, -1
Let c(x) be the second derivative of 0 + 0*x**2 - 20/3*x**3 + 61*x - 5/12*x**4. Factor c(a).
-5*a*(a + 8)
Let k(p) = p**3 - p**2. Let l(s) = -8*s**3 + 6*s**2. Let v = -150 + 212. Let h = -83 + v. Let a(u) = h*k(u) - 3*l(u). Factor a(j).
3*j**2*(j + 1)
Let o = -210 - -75. Let d be 22/(-110) - (3 - (-552)/o). Factor 0 - 2/9*j**2 + d*j.
-2*j*(j - 4)/9
Factor 592 + 455 + 197*h**2 - 353*h - 399 + 35*h - 312*h - 24*h**3 + h**4.
(h - 9)**2*(h - 4)*(h - 2)
Let c(o) be the second derivative of o**5/10 + 1293*o**4/2 + 1671849*o**3 + 2161700757*o**2 - 5879*o. Factor c(y).
2*(y + 1293)**3
Let h(u) be the first derivative of u**6/90 + u**3/3 - 3*u**2 + 21. Let k(b) be the third derivative of h(b). Factor k(g).
4*g**2
Let j = 665 + -627. Suppose 0 = j*m + 2*m. Suppose 15/8*n**4 - 3/4*n**5 + m*n**3 + 3/4*n + 0 - 15/8*n**2 = 0. Calculate n.
-1, 0, 1/2, 1, 2
Factor -39/2*b**2 - 51/4 + 29*b + 3*b**3 + 1/4*b**4.
(b - 3)*(b - 1)**2*(b + 17)/4
Let u(z) be the second derivative of z**4/60 + 7*z**3/15 + 9*z**2/2 - 3030*z. Factor u(a).
(a + 5)*(a + 9)/5
Let l be -1*(-21)/14 - (-7653)/(-18). Let y = 433 + l. Factor 20/3*k**2 + y*k + 4 + 4/3*k**3.
4*(k + 1)**2*(k + 3)/3
Let g(v) = -4*v**2 + 356*v - 1806. Let t(y) = -2*y**2 + 178*y - 896. Let b(n) = -4*g(n) + 9*t(n). Factor b(i).
-2*(i - 84)*(i - 5)
Let t = -161041/2 + 80526. Factor 1/2*r**4 + t*r**3 + 0*r + 0 + 0*r**2.
r**3*(r + 11)/2
Let l(h) = -h**2 - 5*h - 1. Let y be l(-2). Let z = 85 + -81. Solve -20*f**z - 3*f**y + 27*f - 74*f**3 + 12 + f**4 + f**4 + 6*f**2 + 50*f**3 = 0.
-4, -1, 1
Let f(r) be the first derivative of -r**3 + 1707*r**2 - 971283*r - 1567. Suppose f(h) = 0. What is h?
569
Let s(l) = -3*l**2 + 7*l - 2. Let t be s(1). Let w be (0 - -17)*(-8 - -9). Factor 16*v**2 - 16*v**4 - 4*v**5 - 43*v**3 - 28*v**t + w*v**3 + 2*v**5.
-2*v**2*(v + 1)**2*(v + 6)
Let l(w) be the second derivative of w**4/3 + 328*w**3/3 + 326*w**2 + 7691*w. Find o, given that l(o) = 0.
-163, -1
Let a(u) be the third derivative of -u**7/315 - 217*u**6/180 + 437*u**5/90 - 73*u**4/12 + 21*u**2 - 15. Determine p so that a(p) = 0.
-219, 0, 1
Let p(y) be the third derivative of 0 + 11/160*y**6 + 1/4*y**3 + 7/32*y**4 + 0*y + 84*y**2 - 1/4*y**5. Solve p(a) = 0 for a.
-2/11, 1
Let c = -2036/155 - -2098/155. Factor -18*y - 24/5*y**2 - 108/5 - c*y**3.
-2*(y + 3)**2*(y + 6)/5
Let z(i) be the second derivative of -i**4/4 - 2*i**3 - 5*i**2/2 + 3*i. Let l be z(-3). Solve l*q**4 - 4*q**2 - 4*q**3 + q**5 + 3*q**5 + 0*q**4 = 0.
-1, 0, 1
Let m(v) = 2*v**2 - 212*v + 618. Let r(l) = l**2 - 206*l + 609. Let w(g) = -3*m(g) + 4*r(g). Determine i, given that w(i) = 0.
-97, 3
Let p be 20629/686 - 39 - (-6)/14 - -9. Factor -2*u + p*u**2 - 5/2.
(u - 5)*(u + 1)/2
Let r be 10/(-3)*(-32 + 9420/300). Factor -1/2*v**2 - 5/2*v - r.
-(v + 1)*(v + 4)/2
Let y(x) = x**3 + 9*x**2 + 4*x + 6. Let l be y(-9). Let b be ((-36)/l)/((-6)/(-20)). Factor 10*t - b*t - 4*t**2 + 10*t - 12.
-4*(t - 3)*(t - 1)
Let y = -424 + 427. Suppose w**4 + 7*w**4 - 115*w**3 + 41*w**y + 12*w**5 + 26*w**3 - 32*w**2 = 0. What is w?
-2, -2/3, 0, 2
Let f(c) be the third derivative of c**8/2240 + c**7/240 - c**6/40 - c**5/30 - 19*c**4/24 - 2*c**2 + 125. Let r(v) be the third derivative of f(v). Factor r(p).
3*(p + 3)*(3*p - 2)
Let q = 2048/33 + -679/11. Let j(l) be the second derivative of 4/3*l**3 - 2*l**2 - 11*l - q*l**4 + 0. Factor j(m).
-4*(m - 1)**2
Suppose -5*y = b - 311, -b = 6 - 2. Let n be (-4)/7*(y/45)/(-1). What is a in -n*a**2 - 4/5*a**3 + 8/5*a + 0 = 0?
-2, 0, 1
Let w = -67 + 70. Suppose -a - 9 = -w*z, 0 = 5*z - 4*z - 5*a - 3. Let c(u) = 9*u**2 + 11*u + 5. Let h(s) = 3*s**2. Let o(r) = z*h(r) - 3*c(r). Factor o(n).
-3*(n + 1)*(6*n + 5)
Let x(m) = -m**3 - 17*m**2 - 3*m + 4. Let t be x(-17). Let j = t - 31. Let 2 - 12*v**3 + 2*v**4 + 3 - 5 - 16*v + j*v**2 = 0. What is v?
0, 2
Let g(y) be the first derivative of -2*y**7/105 - 2*y**6/15 - 4*y**5/15 + 2*y**2 + 5*y - 130. Let p(f) be the second derivative of g(f). Factor p(j).
-4*j**2*(j + 2)**2
Let z(a) = 164*a**3 + 924*a**2 + 216*a. Let h(q) = -12*q + 52. Let p be h(3). Let o(n) = 33*n**3 + 185*n**2 + 43*n. Let g(v) = p*o(v) - 3*z(v). Factor g(k).
4*k*(k + 5)*(9*k + 2)
Suppose 0 = -190*s + 65*s + 375. Let z(m) be the first derivative of -1/5*m**5 + 2*m - 1/3*m**s + 3/4*m**4 + 15 - 3/2*m**2. Factor z(c).
-(c - 2)*(c - 1)**2*(c + 1)
Let z(j) be the first derivative of -2*j**5/5 + 17*j**4 - 466*j**3/3 + 200*j**2 + 3855. Factor z(v).
-2*v*(v - 25)*(v - 8)*(v - 1)
Let u be 356*(-5)/(-90) + -25 + 23 + -8. Solve 20/9*p + 0 + u*p**3 - 14/9*p**4 - 94/9*p**2 = 0 for p.
0, 2/7, 1, 5
Let a be (0 + 0)/(90/(-15)). Factor 60*x + a*x**2 - 9 - x**2 - 9 - x**2 - 48*x.
-2*(x - 3)**2
Suppose c - 3*c - 16 = -3*z, 2*z + c + 1 = 0. Let u = 5 - z. Factor 4*i**2 - i**3 + 0*i**3 - 2*i**4 + 3*i**u.
-2*i**2*(i - 2)*(i + 1)
Let x(m) be the second derivative of -m**5/100 - 7*m**4/30 - 49*m**3/30 - 382*m. Solve x(g) = 0 for g.
-7, 0
Factor -2/3*i**4 - 2/3*i**3 + 8/3*i**2 + 0 + 8/3*i.
-2*i*(i - 2)*(i + 1)*(i + 2)/3
Let f(b) = -11*b**3 + 818*b**2 - 1204*b + 349. Let t(u) = 10*u**3 - 816*u**2 + 1204*u - 366. Let g(y) = -2*f(y) - 3*t(y). Factor g(z).
-4*(z - 100)*(z - 1)*(2*z - 1)
Let g(s) be the second derivative of s**6/15 - 43*s**5/10 + 201*s**4/2 - 2873*s**3/3 + 2312*s**2 + 10704*s. Factor g(n).
2*(n - 17)**2*(n - 8)*(n - 1)
Let k(o) be the second derivative of -5 + 1/60*o**4 + 0*o**2 + 1/10*o**3 + 10*o. Factor k(r).
r*(r + 3)/5
Suppose -406 = 6*d - 1510. Solve -75*k**4 + 540*k - 5 - d*k**3 - 626*k**3 + 137 + 213*k**2 = 0.
-11, -2/5, 1
Let n be 2/36*117 - 28/(-7). Find g such that -27/2*g**3 + 3/2*g**4 + 45/2*g**2 + 0 - n*g = 0.
0, 1, 7
Let x(c) = -c**2 - c + 1. Let q(k) = 113*k + 32 + 200*k**2 + 122*k - 63*k. Suppose 93*o = 92*o - 1. Let z(u) = o*q(u) - 4*x(u). Factor z(f).
-4*(7*f + 3)**2
Let k(o) be the second derivative of o**5/4 + 19595*o**4/6 + 76792805*o**3/6 + 563*o. Factor k(p).
5*p*(p + 3919)**2
Let v(c) be the third derivative of c**5/120 - 26*c**4 + 32448*c**3 - c**2 - 616. Factor v(o).
(o - 624)**2/2
Let i(u) be the first derivative of 3*u**4/4 + 201*u**3 + 29997*u**2/2 - 30603*u + 2199. Factor i(s).
3*(s - 1)*(s + 101)**2
Let m(q) be the second derivative of 148/15*q**3 + 2 + 1/30*q**4 + 5476/5*q**2 - 94*q. Factor m(