ose o(l) = 0. What is l?
-6, -2, 0, 1/5
Let u be (-1)/10*-12 - 2 - (-5 + 3). Let p(z) be the first derivative of 5/4*z**3 - 3/4*z + 1/2*z**6 - 3/8*z**2 + 3/16*z**4 + 25 - u*z**5. Factor p(i).
3*(i - 1)**3*(2*i + 1)**2/4
Factor 27*c + 28 - 55 + 21 - 2*c**2 - 35*c**2 + 16*c**2.
-3*(c - 1)*(7*c - 2)
Let d be (2 + (-48)/32)*((-56)/40 - -5). Suppose 2/5*u**3 - d*u**2 + 12/5*u - 4/5 = 0. What is u?
1/2, 2
Let z(s) be the first derivative of -4/3*s - 13/9*s**2 + 52/27*s**3 - 47 - 7/18*s**4. Solve z(c) = 0 for c.
-2/7, 1, 3
Find x, given that -9/2*x + 21/4 - 3/4*x**2 = 0.
-7, 1
Let u be -44 + 22 + 22 + 2/6. Let w(c) be the second derivative of 22*c + 0 - u*c**2 + 5/36*c**3 - 1/72*c**4. Let w(f) = 0. Calculate f.
1, 4
Let u(k) be the third derivative of k**6/40 - 36*k**5/5 + 423*k**4/8 - 822*k**2 - 1. Find s such that u(s) = 0.
0, 3, 141
Let g = -24670 + 24709. Let t(z) be the third derivative of 0*z + 2/9*z**4 - 1/90*z**5 - 16/9*z**3 + 0 - g*z**2. Factor t(a).
-2*(a - 4)**2/3
Determine p, given that -279/2*p - 63 - 13/2*p**2 = 0.
-21, -6/13
Let l(j) = 2*j**2 - 36*j + 159. Let k be l(7). Suppose 0 = 5*y - 10*y + 15. What is n in 0 - 7/3*n**3 - y*n - k*n**2 - 1/3*n**4 = 0?
-3, -1, 0
Let b(u) be the second derivative of 25*u**7/42 - 341*u**6/2 - 3515*u**5/4 - 21785*u**4/12 - 1905*u**3 - 1040*u**2 + 134*u + 8. What is g in b(g) = 0?
-1, -2/5, 208
Let x = -683 - -718. Suppose 3*g - 15 = -3*p - 0*g, -5*p + g + 13 = 0. Let 37*h**3 + h**4 + h**4 - x*h**p = 0. What is h?
-1, 0
Let x = 454 + -466. Let v(d) = -d**3 - 11*d**2 + 8*d - 45. Let m be v(x). Factor -16/5*w**2 + 32/5*w**m - 32/5*w - 14/5*w**4 + 32/5 + 2/5*w**5.
2*(w - 2)**4*(w + 1)/5
Let v(y) = -81*y**2 - 720*y + 508. Let z(j) = 1055*j**2 + 9375*j - 6605. Let l(i) = 105*v(i) + 8*z(i). Factor l(c).
-5*(c + 10)*(13*c - 10)
Factor -60*l**3 + 29*l**3 + 0*l**4 + 35*l**3 + 4*l**4 - 7*l**2 - l**2.
4*l**2*(l - 1)*(l + 2)
Let a = -501269/6 - -83749. Factor 1/6*n**2 + a - 35/3*n.
(n - 35)**2/6
Let s(h) be the first derivative of h**3/9 - 7*h**2/3 + 11*h - 1461. What is p in s(p) = 0?
3, 11
Let o(c) be the first derivative of -8/5*c - 6/5*c**3 - 240 + 4*c**2. Factor o(a).
-2*(a - 2)*(9*a - 2)/5
Let n(z) = -19*z**4 - 54*z**3 + 307*z**2 - 621*z + 363. Let w(j) = -31*j**4 - 108*j**3 + 615*j**2 - 1241*j + 725. Let r(b) = -5*n(b) + 3*w(b). Factor r(c).
2*(c - 20)*(c - 3)**2*(c - 1)
Factor -1/3*y**2 + 1/3*y**4 + 0 + 233/3*y**3 - 233/3*y.
y*(y - 1)*(y + 1)*(y + 233)/3
Factor 0*v**3 - 20/3*v**5 + 0 + 0*v**2 - 2*v**4 + 0*v.
-2*v**4*(10*v + 3)/3
Factor 0 - 2/3*q + 2/3*q**2.
2*q*(q - 1)/3
Suppose -4*o = -3*i - i + 4, 0 = 3*o - 3. Suppose 0 = 5*g - 6*g - 2*m + 5, -4*g + i*m = -10. Factor 8/7*j - 2/7*j**2 - 2/7*j**g + 8/7.
-2*(j - 2)*(j + 1)*(j + 2)/7
Let d(r) be the third derivative of 0*r - 95/24*r**4 - 6*r**2 - 1/4*r**5 - 5*r**3 + 2. Suppose d(w) = 0. What is w?
-6, -1/3
Let l = 59/1032 + 9/344. Let f(a) be the second derivative of 0 - l*a**4 + 1/2*a**2 + 0*a**3 - 41*a. Let f(q) = 0. What is q?
-1, 1
Let z = 17 + -15. Find x, given that 42*x**5 - 180*x**z - 28*x**4 - 83*x**5 - 156*x**3 - 64*x + 53*x**5 = 0.
-1, 0, 16/3
Let c(b) = -49*b**3 + 2079*b**2 - 12358*b + 18360. Let f(i) = 17*i**3 - 692*i**2 + 4119*i - 6120. Let g(a) = 6*c(a) + 17*f(a). Determine u so that g(u) = 0.
3, 136
Let 12/7*z**3 - 64/7*z**2 - 64/7*z - 2/7*z**5 + 10/7*z**4 + 0 = 0. Calculate z.
-2, -1, 0, 4
Suppose 141/4*n**3 + 480*n**2 + 2025*n + 0 + 3/4*n**4 = 0. Calculate n.
-27, -10, 0
Let r = -24 - -49. Let l = r + -21. Factor 24*w**2 + 33*w + 19*w**2 - 8*w**2 + l*w**2 + 15*w**3 + 9.
3*(w + 1)**2*(5*w + 3)
Suppose -2*t + 19 = 5*b, -4*b = t + t - 14. Let z(n) = -n**2 - 2*n + 3. Let v be z(t). Factor v + 4 - 5*x**4 - 4*x + 1 + 14*x - 10*x**3.
-5*(x - 1)*(x + 1)**3
Let y(j) = -4*j**2 - 6 - 2 - 8*j + j**2. Let k(v) be the second derivative of v**4/4 + 3*v**3/2 + 9*v**2/2 - v - 34. Let h(q) = 4*k(q) + 3*y(q). Factor h(r).
3*(r + 2)**2
Solve -10/3*t**3 + 1546/3*t + 644/3 - 164/3*t**2 = 0 for t.
-23, -2/5, 7
Let m(u) be the second derivative of 3/20*u**4 + 2 - 3/50*u**5 + 0*u**3 + 33*u - 3/10*u**2. Solve m(p) = 0.
-1/2, 1
Factor -64/3*r - 130/3*r**2 - 2/3*r**4 + 0 - 68/3*r**3.
-2*r*(r + 1)**2*(r + 32)/3
Let a = 3322691/84 - 39555. Let i = -2/21 + a. Let -i - 5/4*j**2 + 7/4*j + 1/4*j**3 = 0. What is j?
1, 3
Let q(j) = 14*j**2 - 32*j + 16. Let s(y) = -142*y**2 - 32*y - 143*y**2 - 139*y**2 + 18 + 438*y**2. Let o(t) = 5*q(t) - 4*s(t). Factor o(f).
2*(f - 2)*(7*f - 2)
Let j(y) be the third derivative of y**6/48 - y**5/6 + 5*y**4/12 - 384*y**2 - 6*y. Let j(u) = 0. What is u?
0, 2
Let w be 14/36 - (2023/153 - (-143)/(-11)). Factor -1/3*q**2 - w*q + 0*q**3 + 0 + 1/6*q**5 + 1/3*q**4.
q*(q - 1)*(q + 1)**3/6
Let r(o) = 22*o**2 + 35*o - 5. Let c be r(4). Let b = -485 + c. Let 0*p - 1/5*p**b + 0 = 0. Calculate p.
0
Let m(s) be the first derivative of -s**4/16 + 2127*s**3/4 - 13572387*s**2/8 + 9622822383*s/4 + 2845. Factor m(x).
-(x - 2127)**3/4
Let t(d) = d**2 - 38*d - 37. Suppose u = 9 + 30. Let b be t(u). Factor -1/3*v**3 + 2/3*v + 1/3*v**b + 0.
-v*(v - 2)*(v + 1)/3
Let y(n) be the second derivative of -n**6/70 + 339*n**5/35 - 51525*n**4/28 + 50625*n**3/7 - 32*n + 156. Suppose y(p) = 0. What is p?
0, 2, 225
Let c be 1 - -5 - (-36)/9. Let l(n) = -n**4 - n**3 + 11*n**2 + n. Let j(h) = h**3 + h. Let p(x) = c*j(x) + 2*l(x). Solve p(b) = 0.
-1, 0, 6
Let x(v) = -7*v**4 + 55*v**3 - 55*v**2 - 5. Let l(m) = 3*m**4 - 24*m**3 + 27*m**2 + 2. Let j(f) = -5*l(f) - 2*x(f). Let j(y) = 0. Calculate y.
0, 5
Let h(n) be the third derivative of -n**5/105 + n**4 + 86*n**3/21 + 3*n**2 - 163. Determine r, given that h(r) = 0.
-1, 43
Solve -360/7*d - 50/7*d**3 + 2/7*d**4 + 0 + 272/7*d**2 = 0.
0, 2, 5, 18
Suppose -n + 1 = 4. Let x be (51/12 + n)*4. Factor 0*s**4 - 2*s**4 + 7*s**4 + 5*s**3 - 3*s - 2*s - x*s**2.
5*s*(s - 1)*(s + 1)**2
Let f(w) be the first derivative of 3*w**5/5 - 175*w**4/2 + 3441*w**3 - 3306*w**2 - 3364*w + 455. Factor f(q).
(q - 58)**2*(q - 1)*(3*q + 1)
Let i(k) = -k**4 - k**3 + 4*k**2 + 2*k - 4. Let g(s) = 9122*s**4 + 6722*s**3 + 1857*s**2 + 229*s - 2. Let c(h) = g(h) - 3*i(h). Factor c(y).
(5*y + 1)**3*(73*y + 10)
Let a be 3 - (6 + 0)/6. Factor 363*s**2 - 24*s**3 + 4*s**3 - 308*s**a - 30*s - 5*s**4.
-5*s*(s - 1)**2*(s + 6)
Let o = 11815 + -11812. Let g(a) be the second derivative of -2*a**o + 0 + 0*a**2 - 20*a - 1/6*a**4. Let g(l) = 0. Calculate l.
-6, 0
Let n(r) be the second derivative of -r**6/20 - 6*r**5 - 117*r**4/4 - 58*r**3 - 231*r**2/4 + 1669*r. Find l, given that n(l) = 0.
-77, -1
Suppose 4*d + 20 = -4*m, d - 5 = -3*m + 2*d. Suppose -s = m, -2*c + 1 = 4*s - 3. Find p, given that 0 + 33*p - 35*p - 2*p**4 + c*p**3 + 0 + 2*p**2 = 0.
-1, 0, 1
Let o(k) be the first derivative of -k**6/105 + 13*k**5/210 - k**4/21 + 79*k**3/3 + 62. Let u(q) be the third derivative of o(q). Factor u(c).
-4*(c - 2)*(6*c - 1)/7
Let u(t) be the first derivative of t**4/10 + 3008*t**3/5 + 6786048*t**2/5 + 6804144128*t/5 - 4692. Find s, given that u(s) = 0.
-1504
Let -8/11*z - 424/11*z**2 + 0 - 210/11*z**3 = 0. Calculate z.
-2, -2/105, 0
Let a(z) = z**3 + 7*z**2 + 2*z - 20. Let v be a(-6). Suppose 2*p - 28 = q, -p - 2*p = v*q - 31. What is m in 0*m - 4*m + 8*m**3 - p*m**2 + 9*m**2 = 0?
-1/2, 0, 1
Factor -2688*b**2 + 2117*b**3 + 21*b**4 + 25088*b - 12*b**4 + 15*b**4 + 3*b**5 - b**5 - 2493*b**3.
2*b*(b - 8)**2*(b + 14)**2
Factor 72*d**2 - 5037/4*d**3 + 0 - 5329/4*d**4 - d.
-d*(d + 1)*(73*d - 2)**2/4
Determine h, given that -93/2 - 25/2*h**2 + 235*h = 0.
1/5, 93/5
Let m(l) = -l**2 + 2691*l - 37476. Let o be m(14). Determine d, given that 4*d - 31/8 - 1/8*d**o = 0.
1, 31
Find o, given that -2/5*o - 4/5*o**4 - 2/5*o**5 + 4/5*o**3 - 4/5 + 8/5*o**2 = 0.
-2, -1, 1
Factor 395 + 52 - 176*a - 591*a - 5*a**3 + 60 - 123*a**2 - 4*a**2.
-(a + 13)**2*(5*a - 3)
Let k be (-5282)/(-298433) + 448/226. Factor 2/9*a**k + 56/9 + 58/9*a.
2*(a + 1)*(a + 28)/9
Let k = 3963 - 1643. Suppose -5*r + 5850 = k. Suppose 722*z**2 - 4 - r*z**2 - 12*z**5 + 4 - 44*z**4 - 32*z**3 = 0. What is z?
-2, 0, 1/3
Let b(r) be the second derivative of -r**6/70 - 9*r**5/35 - 37*r**4/28 - 3*r**3 - 24*r**2/7 - 13*r - 65. Suppose b(f) = 0. What is f?
-8, -2, -1
Suppose -4*a = -h + 6, -h - 3 = -2*h + a. Factor -915*p**2 + 4*p**3 + 442*p**h + p*