 0. Calculate s.
-1, 1
Find w, given that 3*w**5 - 1950*w**2 + 510*w**3 - 1875 + 1945*w + 33*w**4 - 96*w**4 + 1430*w = 0.
1, 5
Suppose 2*u - 3 = -129. Let w be (-3 + (-165)/u)*(-9)/12. Find d such that 12/7*d - w*d**2 - 18/7 = 0.
3
Let j(a) = -50*a**3 - 1355*a**2 - 4760*a - 4620. Let w(g) = -7*g**3 - 193*g**2 - 680*g - 660. Let l(c) = 2*j(c) - 15*w(c). Suppose l(s) = 0. What is s?
-33, -2
Let k(x) be the third derivative of x**8/336 - 2*x**7/105 - x**6/120 + x**5/15 + 165*x**2. Factor k(o).
o**2*(o - 4)*(o - 1)*(o + 1)
Solve 0 + m + 1/6*m**2 - 1/6*m**4 + 1/6*m**5 - 7/6*m**3 = 0.
-2, -1, 0, 1, 3
Let k be (-6)/(-9)*(15 - 0). Let n = -6 + k. Factor 4*w**n - 2*w**4 - 5*w**4.
-3*w**4
Let u = -408 - -6121/15. Let h(p) be the first derivative of -1/20*p**4 - 1/5*p + 1 + 1/10*p**2 + u*p**3. Factor h(l).
-(l - 1)**2*(l + 1)/5
Let i be ((-2 - -1)*1)/(2/(-6)). Suppose 0 = -4*w - 12, 4*n = -i*w + w + 2. Factor -160/7*t**n + 2/7*t**5 + 160/7*t + 80/7*t**3 - 64/7 - 20/7*t**4.
2*(t - 2)**5/7
Suppose -2 = -5*c - 2*u + 17, 0 = -2*u + 4. Suppose -5*o + c*o = 0. Factor -2/7*b**2 - 2/7*b**3 + 0 + o*b.
-2*b**2*(b + 1)/7
Factor 728*x**3 - 4*x**4 + 0*x**4 - 361*x**3 - 363*x**3 - 15*x + 16*x**2 - x.
-4*x*(x - 2)*(x - 1)*(x + 2)
Let y(t) = -5*t**2 - 3*t + 20. Let g(q) = 5*q**2 + 4*q - 20. Let l(z) = z**2 + 6*z - 4. Let n be l(-6). Let c(o) = n*y(o) - 3*g(o). Factor c(u).
5*(u - 2)*(u + 2)
Let b(g) be the third derivative of g**6/420 - 13*g**5/105 + 7*g**4/12 - 8*g**3/7 + 16*g**2 + g. What is r in b(r) = 0?
1, 24
Let z(d) = -8*d**3 - 69*d**2 - 83*d - 91. Let a(w) = -4*w**3 - 34*w**2 - 42*w - 42. Let m(u) = -13*a(u) + 6*z(u). What is n in m(n) = 0?
-4, -3, 0
Let b(k) be the second derivative of 5*k**7/42 - 2*k**6/3 - k**5/4 + 5*k**4/3 - k + 16. Suppose b(x) = 0. Calculate x.
-1, 0, 1, 4
Let t(w) be the second derivative of -w**4/4 - 5*w**3/2 + 61*w - 1. Find o such that t(o) = 0.
-5, 0
Factor -20/9*w**3 - 16/9*w - 2/9*w**4 + 0 - 34/9*w**2.
-2*w*(w + 1)**2*(w + 8)/9
Let h(k) be the first derivative of -4/21*k**3 - 2/7*k**2 - 1 + 0*k - 1/28*k**4. Factor h(i).
-i*(i + 2)**2/7
Let k(q) be the first derivative of -4*q**3/9 - 8*q**2/3 - 16*q/3 + 43. Factor k(d).
-4*(d + 2)**2/3
Suppose -7*o + 12 = -9*o. Let r be (-40 + 4)*2/o. Determine a, given that 18*a**2 - 8 + r*a**3 + 12*a + 17*a**2 - 3*a**2 = 0.
-2, -1, 1/3
Let v be (81/6 - -1)*-2. Let o = 32 + v. Determine m, given that 1/2*m**o + m + 3/2*m**2 + 0 = 0.
-2, -1, 0
Let a(m) = 13*m**3 + 25*m**2 - 24*m. Suppose 12*y + 20 = 17*y. Let c(r) = 7*r**3 + 13*r**2 - 12*r. Let i(h) = y*a(h) - 7*c(h). Factor i(b).
3*b*(b - 1)*(b + 4)
Suppose -2*k - 10 = 2*j - 12, 4*k = 5*j - 50. Let n(a) be the second derivative of 1/30*a**j + 1/3*a**3 + 3*a + 0 - 1/2*a**2 - 1/10*a**5 + 0*a**4. Factor n(f).
(f - 1)**3*(f + 1)
Let n(y) be the second derivative of y**6/10 - 3*y**5/10 - 15*y**4/4 - 2*y**3 + 30*y**2 - 4*y + 30. Solve n(c) = 0.
-2, 1, 5
Let w(o) be the third derivative of o**6/120 + o**5/5 + 11*o**4/12 + 10*o**3/3 - 17*o**2. Let h be w(-10). Find n such that -n**2 + 1/2*n**3 + h + 1/2*n = 0.
0, 1
Let j be 112/(-21) - ((-100)/(-10) - 16). Factor 2/3*g - j + 4/3*g**2 - 2/3*g**4 + 2/3*g**5 - 4/3*g**3.
2*(g - 1)**3*(g + 1)**2/3
Factor 36 + 52/3*f - 1/3*f**2.
-(f - 54)*(f + 2)/3
Find i such that -436*i**3 - 12*i**4 - 60 + 3*i**5 - 48*i - 9*i**4 + 57*i**2 + 457*i**3 = 0.
-1, 2, 5
Suppose -43*g = -48*g. Let j(s) be the first derivative of -9/5*s**5 + 3*s**3 + 1 + g*s - 1/2*s**6 + 3*s**2 - 3/4*s**4. Find d, given that j(d) = 0.
-2, -1, 0, 1
Let m(k) = k**3 + 12*k**2 + 18*k - 18. Let r be m(-10). Solve -3 + 3*d - 3/4*d**r = 0.
2
Suppose 8/11*k - 2/11*k**3 + 0*k**2 + 0 = 0. What is k?
-2, 0, 2
Let f(s) be the second derivative of 1/40*s**5 - 1/12*s**4 + 0 + 11*s + 0*s**2 + 1/12*s**3. Let f(d) = 0. What is d?
0, 1
Let b(l) be the third derivative of -l**6/780 + 3*l**5/130 - 3*l**2 + 49*l. Factor b(s).
-2*s**2*(s - 9)/13
Factor 90*x**2 - 5000*x**3 + 23350*x**2 - 5*x**5 - 42640*x + 290*x**4 - 768 + 5377 + 14602 + 7829.
-5*(x - 26)**2*(x - 2)**3
Let v(d) = -6*d**2 + 95*d - 276. Let h be v(12). Factor 1/5*u**5 + 2/5*u**4 + 0*u**3 - 1/5*u + h - 2/5*u**2.
u*(u - 1)*(u + 1)**3/5
Let j(f) = 38*f**4 + 260*f**3 + 1077*f**2 + 267*f - 11. Let p(c) = 10*c**4 + 65*c**3 + 269*c**2 + 67*c - 3. Let b(m) = -6*j(m) + 22*p(m). Solve b(o) = 0.
-8, -1/4, 0
Let m be (77/11)/42*(-1)/(-3). Let n(w) be the third derivative of 0 - 5*w**2 - 7/360*w**6 + 0*w**3 + m*w**4 + 1/15*w**5 + 0*w. Solve n(p) = 0 for p.
-2/7, 0, 2
Let k be 14/(-2) + 406/126 + 4. Find f, given that -8/9*f - 2/3 - k*f**2 = 0.
-3, -1
Let w = -68 - -66. Let c(n) = 2*n**4 - 2*n**2 + 2. Let x(f) = -4*f**4 + f**3 + 4*f**2 - f - 5. Let s(h) = w*x(h) - 5*c(h). Factor s(t).
-2*t*(t - 1)*(t + 1)**2
Find q, given that 36 + 6*q - q**2 - 1/6*q**3 = 0.
-6, 6
Let p be (62/(-651))/((-20)/14). Let n(a) be the first derivative of -1/6*a**4 + p*a**5 - 2 + 1/18*a**6 + 1/3*a - 2/9*a**3 + 1/6*a**2. Factor n(i).
(i - 1)**2*(i + 1)**3/3
Let b(v) = 6*v**3 - 237*v**2 + 395*v + 11. Let p(q) = 2*q**3 - 80*q**2 + 132*q + 4. Let x(l) = 4*b(l) - 11*p(l). Factor x(i).
2*i*(i - 32)*(i - 2)
Let l = 60 + -56. Let g be (40/(-440))/((-2)/11). What is v in v - 1/2*v**2 + 0 - v**3 + g*v**l = 0?
-1, 0, 1, 2
Let v = 21 - -13. Let -3 + v*c**3 + 20*c**4 + 12*c - 6*c**5 - 5*c**4 - 40*c**3 - 12*c**2 = 0. What is c?
-1, 1/2, 1
Let j(x) be the first derivative of x**6/3 - 2*x**5 + 9*x**4/2 - 14*x**3/3 + 2*x**2 - 4. Factor j(g).
2*g*(g - 2)*(g - 1)**3
Let x(v) = 20*v - 10. Let d be x(8). Let a = 1352/9 - d. Suppose 2/9*s**2 + 0*s - a = 0. What is s?
-1, 1
Let v be 72/54*(-3)/(-12). Let 0*p - v*p**2 + 4/3 = 0. Calculate p.
-2, 2
Let z be 8/6*12/8. Let f = -1609/5 - -333. Solve -f*c**4 - 54/5*c**3 + 6/5*c**z + 4/5*c + 0 = 0.
-1, -1/4, 0, 2/7
Let s(r) be the third derivative of r**4/24 - r**3/2 - r**2. Let g be s(5). Find z such that -4*z**3 - 5*z**3 - 9*z**2 + 12 - z**3 - 3*z**4 - g*z**3 + 12*z = 0.
-2, -1, 1
Let d(c) be the third derivative of c**7/840 - 31*c**6/480 - 11*c**5/80 + 31*c**4/96 + 4*c**3/3 - 173*c**2 - c. Factor d(p).
(p - 32)*(p - 1)*(p + 1)**2/4
Let p(y) = -6*y + 41. Let c be p(12). Let b = -31 - c. Determine u, given that -4/7*u + b + 2/7*u**2 - 26/7*u**4 + 10/7*u**5 + 18/7*u**3 = 0.
-2/5, 0, 1
Let v(n) be the third derivative of -1/180*n**5 + 0 + 1/9*n**3 - 1/72*n**4 + 15*n**2 + 0*n. Determine z, given that v(z) = 0.
-2, 1
Let z be -3 + 3 + (-3 - 0) - -5. Let u = 1 + -2/3. Let u*b**3 + 0 + 0*b - 1/3*b**z = 0. Calculate b.
0, 1
Let k(l) = 39*l**4 + 132*l**3 + 86*l**2 + 6*l. Let g(d) = -118*d**4 - 394*d**3 - 257*d**2 - 17*d. Let h(z) = 6*g(z) + 17*k(z). Factor h(o).
-5*o**2*(3*o + 4)**2
Let n(f) be the second derivative of 250*f**7/63 - 4*f**6/9 - 275*f**5/12 - 1015*f**4/36 - 80*f**3/9 + 10*f**2/3 + 182*f. Determine c, given that n(c) = 0.
-1, -1/2, 2/25, 2
Let a(x) be the first derivative of x**4/2 + 14*x**3/3 + 57. Suppose a(p) = 0. What is p?
-7, 0
Let z(k) be the first derivative of -31 + 1/20*k**4 - 4/15*k**3 + 6/5*k + 1/10*k**2. Factor z(r).
(r - 3)*(r - 2)*(r + 1)/5
Let j = -65 - -29. Let g = j + 38. Let -8/5 - 2*i**g - 16/5*i - 2/5*i**3 = 0. What is i?
-2, -1
Let q = 526 - 520. Let y(g) be the first derivative of -1/20*g**4 - 2/15*g**3 + q + 1/10*g**2 + 2/5*g. Let y(n) = 0. Calculate n.
-2, -1, 1
Suppose -2*c + 2*w = -2, -5*w + 1 = -3*c - 2. Factor 4*q**2 + 3*q - 23*q + c*q + 16.
4*(q - 2)**2
Let v(i) be the third derivative of i**6/300 + i**5/75 - 8*i**4/15 - 32*i**3/5 + 16*i**2 - 1. Find n, given that v(n) = 0.
-4, 6
Let g(q) be the second derivative of q**4/30 - 2*q**3/15 - 8*q**2/5 + 11*q - 1. Factor g(s).
2*(s - 4)*(s + 2)/5
Let h(u) = u**2 + 2*u - 4. Let i be h(-4). Suppose -1 = i*s - 13. Factor -4*r**3 - 2*r**4 - 4*r + 0*r + 2*r**2 + 8*r**s.
-2*r*(r - 2)*(r - 1)*(r + 1)
Let z(x) be the third derivative of x**8/2520 - x**7/1575 - x**6/150 + 52*x**2. Factor z(y).
2*y**3*(y - 3)*(y + 2)/15
Let v be (2/(-1))/(15/875). Let u = 118 + v. Find s, given that -u - 1/3*s**2 - 4/3*s = 0.
-2
Let a be ((-8)/392)/(60/(-7)). Let r(x) be the third derivative of a*x**6 + 0*x**3 + 0*x + 9*x**2 + 0*x**4 + 0*x**5 - 1/735*x**7 + 0. Factor r(q).
-2*q**3*(q - 1)/7
Let q(k) be the third derivative of -k**7/105 - 3*k**6/20 - 11*k**5/15 + 32*k**