s - 22)**2
Suppose -2*d + 4*q = -82, -2*q = -3*d + 159 - 16. Let z = -49 + d. Factor u**2 + z*u**2 - 7*u**2 + 8*u - 4*u**2 + 2*u**3.
2*u*(u - 2)**2
Let r be 280/30*180/21. Suppose 0 = -27*o + r + 28. Factor 0 - 20/3*z**o - 4*z**3 + 8/3*z**2 + 0*z.
-4*z**2*(z + 1)*(5*z - 2)/3
Let t(k) be the second derivative of k**6/150 - 4*k**5/25 - 149*k**4/60 - 46*k**3/5 - 72*k - 37. What is z in t(z) = 0?
-4, -3, 0, 23
Let t = 118/38535 + -1/1468. Let h(a) be the third derivative of -t*a**6 + 0*a - 5/84*a**4 + 0 - 1/35*a**5 + 0*a**3 - 5*a**2. Factor h(l).
-2*l*(l + 1)*(l + 5)/7
Let z(t) be the first derivative of -t**4/2 + 274*t**3/3 - 795*t**2 + 2358*t - 3944. Factor z(n).
-2*(n - 131)*(n - 3)**2
Suppose 0 = 2*r - 2*x - 28, -45*r - x - 2 = -42*r. Find k, given that 33/2*k - 33/2*k**r + 90*k**2 - 363/4 + 3/4*k**4 = 0.
-1, 1, 11
Let f(o) be the third derivative of 0*o + 1/21*o**7 + 0*o**3 + 209*o**2 - 5/24*o**4 - 1/6*o**5 + 5/336*o**8 + 0*o**6 + 0. Factor f(n).
5*n*(n - 1)*(n + 1)**3
Suppose 70*v = -59*v + 109*v. Let k(c) be the third derivative of -16*c**2 + 0*c + v*c**3 - 1/2*c**4 + 0 + 1/10*c**6 - 2/105*c**7 + 1/15*c**5. Factor k(m).
-4*m*(m - 3)*(m - 1)*(m + 1)
Let g(o) be the third derivative of -o**8/4032 + 2*o**7/21 - 16*o**6 - 11*o**5/15 + 3*o**2 + 3. Let b(y) be the third derivative of g(y). Factor b(p).
-5*(p - 48)**2
Let a(f) be the third derivative of f**7/840 - 7*f**6/240 + 23*f**5/80 - 17*f**4/12 + 10*f**3/3 - 679*f**2. Factor a(l).
(l - 5)*(l - 4)**2*(l - 1)/4
Let w(q) = q**2 + q. Let z(u) = u**2 + 7*u + 30. Let k = -261 + 264. Let t(r) = k*w(r) - z(r). Factor t(m).
2*(m - 5)*(m + 3)
Let j = -206 - -211. Factor -13*x**5 + 4*x**3 - 11*x + 40*x**2 + 17*x**5 - j*x - 32 - 16*x**4.
4*(x - 2)**3*(x + 1)**2
Let k = -51973/5 + 415789/40. Suppose j = 5*s - 17, -3*s + 0 = 3*j - 21. Factor 9/8 + 7/8*o**2 + 15/8*o + k*o**j.
(o + 1)*(o + 3)**2/8
Let n be (6/8 + 10/40)*7. Let s(g) = -g**3 + 32*g**2 - 259*g. Let t(l) = -2*l**3 + 64*l**2 - 519*l. Let j(w) = n*s(w) - 3*t(w). Factor j(d).
-d*(d - 16)**2
Let c(m) = -3*m + 20. Let f be c(6). Suppose -30 = -5*x + 3*i, -f*x + 5*i = x - 34. Determine t so that -8*t**2 + 3*t**3 - x*t + 7*t + t**3 = 0.
0, 1
Let f(t) be the third derivative of -t**8/560 + t**7/525 + t**6/150 - t**5/150 - t**4/120 - 2308*t**2. Determine y so that f(y) = 0.
-1, -1/3, 0, 1
Let n(y) be the second derivative of y**7/84 + y**6/6 + 3*y**5/40 - 9*y**4/4 - 90*y - 11. Find s, given that n(s) = 0.
-9, -3, 0, 2
Let q(c) be the first derivative of -4*c**3/3 - 456*c**2 - 51984*c + 13805. Factor q(s).
-4*(s + 114)**2
Factor 6*v + 1379*v**2 - 10 - 681*v**2 - 680*v**2 - 5*v**3 - 3*v - 6*v**4.
-(v - 1)**2*(v + 2)*(6*v + 5)
Solve 20 - 838*z**2 + 534*z**2 + 279*z**2 + 5*z**4 = 0 for z.
-2, -1, 1, 2
Let i be (-73)/(-60) + (-4327)/86540. Let -5/3*z - 1/6*z**3 + i*z**2 + 0 = 0. What is z?
0, 2, 5
Let v(z) be the first derivative of -3*z**5/5 + 285*z**4/2 + z**3 - 285*z**2 + 6865. Factor v(h).
-3*h*(h - 190)*(h - 1)*(h + 1)
Suppose -105 = -31*b + 50. Suppose 3*r - 7 = -q - 6, b = -4*r + 5*q. Factor -3/4*f**2 + 33/8*f**3 + 0 + 21/8*f**5 - 6*f**4 + r*f.
3*f**2*(f - 1)**2*(7*f - 2)/8
Let i be (-5 - (-88)/16)*8. Find b such that -89*b**3 + 32*b**2 + 416*b - 60*b**i - 192 + 54*b**3 - 269*b**3 + 18*b**5 = 0.
-2, 2/3, 6
Let k(z) be the second derivative of 3*z**2 - 134 + 7/6*z**3 + 1/12*z**4 + 2*z. Solve k(t) = 0 for t.
-6, -1
Let q(b) be the first derivative of 0*b + 6*b**4 - 67 - 4*b**3 - 3*b**5 + 0*b**2 + 1/2*b**6. Suppose q(d) = 0. What is d?
0, 1, 2
Let z be 33/165 - ((-211)/(-5) + -2). Let b be (((-156)/(-15))/(-2))/(152/z). Factor -4/19 + 2/19*s - b*s**3 + 18/19*s**2 + 10/19*s**4.
2*(s - 1)**3*(5*s + 2)/19
Let p(u) = -u**3 - 19*u**2 - 5*u - 92. Let t be p(-19). Factor 16109*q - 10*q**t - 5*q**4 - 16109*q + 15*q**2.
-5*q**2*(q - 1)*(q + 3)
Suppose 19 = -2*m + f + 125, 5*f - 172 = -3*m. Let j(t) be the first derivative of -18 + 6*t**3 + m*t - 1/2*t**4 - 27*t**2. Factor j(i).
-2*(i - 3)**3
Let f(d) be the second derivative of -1/21*d**4 + 1/21*d**3 + 15/2*d**2 - 18*d + 0 + 1/70*d**5. Let j(p) be the first derivative of f(p). Factor j(u).
2*(u - 1)*(3*u - 1)/7
Let r(o) be the second derivative of -26*o - 8*o**2 - 5/8*o**4 + 0 + 1/12*o**5 - 10/3*o**3. Let v(t) be the first derivative of r(t). Factor v(k).
5*(k - 4)*(k + 1)
Let m be (32 + (-8575)/275)/((-2)/(-80)). Find b such that 1598/11*b**4 + 0*b - 640/11*b**2 - 630/11*b**5 + 32/11 - m*b**3 = 0.
-2/5, -2/7, 2/9, 1, 2
Let w(i) be the second derivative of -i**6/48 - 93*i**5/160 - 137*i**4/96 - 5*i**3/16 + 17*i**2/8 + 39*i - 15. Suppose w(d) = 0. What is d?
-17, -1, 2/5
Let c be ((-42)/35*1)/(2/(-5)). Let u be ((-12)/9)/(2/(-3)). Solve u*z**c - 3*z**4 - 2*z**4 + 0*z**3 + 3*z**3 = 0.
0, 1
Factor 1673*w - 220*w**2 + 5604 + 727*w + 13729 + 633*w**3 - 629*w**3 - 1333.
4*(w - 30)**2*(w + 5)
Let w = -53 - -58. Let z(v) = v**2 - 6*v + 2. Let d be z(7). Determine y, given that d*y**2 - w*y - 3*y + 14*y + 3*y**3 = 0.
-2, -1, 0
Let t be 1 + -455 + 8 + (-6)/1. Let i = -452 - t. Determine a so that i - 6*a**2 - 27/8*a**3 + 3/2*a = 0.
-2, 0, 2/9
Let h(v) be the first derivative of 2*v**3/3 - 38*v**2 - 430*v - 415. Solve h(q) = 0 for q.
-5, 43
Let s(m) = 4*m**2 + 1912*m + 5702. Let o be s(-475). Factor -4*f - 1/5*f**o - 20.
-(f + 10)**2/5
Let y = 1753 + -7011/4. Let r be 55/40*-2 - -4. Determine f, given that 3/4 + r*f**2 + y*f**3 + 7/4*f = 0.
-3, -1
Let g(f) be the third derivative of -5*f**8/504 + 4*f**7/315 + 9*f**6/20 - 2*f**5/45 - 61*f**4/9 - 16*f**3/3 - 6923*f**2. Find d, given that g(d) = 0.
-3, -2, -1/5, 2, 4
Factor 9*h**3 - 4 + 27*h - 85/2*h**2.
(h - 4)*(2*h - 1)*(9*h - 2)/2
Let o(y) = 12*y**2 + 24*y - 180. Suppose 11*d - 12 = 2*n + 13*d, -5*n - 2*d = 30. Let b(j) = 2*j**2 + 4*j - 30. Let q(p) = n*o(p) + 34*b(p). Factor q(u).
-4*(u - 3)*(u + 5)
Let q be -4*(-2)/(-6) - 13/(663/(-68)). Let m(h) be the second derivative of 1/20*h**5 + 44*h + 0*h**2 + 1/6*h**4 + 0 + q*h**3. Factor m(w).
w**2*(w + 2)
Let b(v) be the third derivative of 0 + 0*v**3 + 0*v**4 + 1/210*v**7 - 1/30*v**6 - 1/12*v**5 - 2*v**2 + 75*v. Solve b(d) = 0 for d.
-1, 0, 5
Suppose -3*c - w = -70, 2*w + 24 = 2*c - 3*w. Let b(m) be the first derivative of -8*m**3 - 30 + 3*m + c*m**2 - 27*m + 2*m**4 - m**4. Factor b(p).
4*(p - 3)*(p - 2)*(p - 1)
What is a in 81*a - 408/5 + 3/5*a**2 = 0?
-136, 1
Let 797/3*t - 5/3*t**2 - 106 = 0. What is t?
2/5, 159
Determine o so that -o**3 + 25/3*o**2 - 7*o - 1/3*o**4 + 0 = 0.
-7, 0, 1, 3
Suppose 84 + 104 = 47*x. Let v(f) be the third derivative of 1/120*f**5 + 0*f**x + 0*f**3 + 1/240*f**6 - 9*f**2 + 0 + 0*f. Factor v(l).
l**2*(l + 1)/2
Factor 479742*c - 2*c**3 + 110 - 480184*c - 4*c**3 + 338*c**2.
-2*(c - 55)*(c - 1)*(3*c - 1)
Suppose 3*r - 122*d = -125*d + 10152, 4*r - 3*d - 13382 = 0. Factor r - 82*t + 1/2*t**2.
(t - 82)**2/2
Let r = 1/1671 - -927/2228. Let f(q) be the second derivative of 5/3*q**3 + 6*q - 1/4*q**5 + 0*q**2 + r*q**4 + 0. Factor f(x).
-5*x*(x - 2)*(x + 1)
Let z(f) = 6*f**4 + 18*f**3 + 26*f**2 + 12*f - 52. Let v(w) = w**3 + 2*w + 6 + w**4 - 259*w**2 + 258*w**2 - 8. Let x(g) = -10*v(g) + z(g). Solve x(y) = 0 for y.
-2, -1, 1, 4
Let g(n) = n**3 - n**2 - 13. Let x(i) = 36*i**3 - 34*i**2 - 2*i - 156. Let l(q) = -12*g(q) + x(q). Solve l(j) = 0.
-1/12, 0, 1
Suppose 0 = 33*p - 111 - 54. Suppose 0*l - 5*k = 4*l - 3, p = 5*l + 5*k. Factor l + 3/2*x + 1/4*x**2.
(x + 2)*(x + 4)/4
Let w = 146 + -127. Find h, given that -57*h - 5*h**3 - 6*h**2 - w*h**2 + 37*h + 5*h**2 = 0.
-2, 0
Let l(d) be the first derivative of -3*d**3 - 2334*d**2 + 1557*d + 3722. Determine m so that l(m) = 0.
-519, 1/3
Let n(r) be the second derivative of -r**5/16 - 25*r**4/6 - 40*r**3 + 2880*r**2 - 1426*r. Factor n(l).
-5*(l - 8)*(l + 24)**2/4
Factor 537/7*n**2 - 72360/7*n - 1/7*n**3 + 71824/7.
-(n - 268)**2*(n - 1)/7
Let x(l) be the first derivative of l**3/3 - 58*l**2 + 230*l + 120. Let n be x(2). Determine h so that -1/2*h - 1/4*h**n + 0 = 0.
-2, 0
Suppose -8*w = 15*w + 736. Let o be (-15)/(-84) + w/(-56). Factor 23/4*r**2 + 9*r**3 - o + 5*r**4 + 7/8*r**5 + 1/8*r.
(r + 1)**3*(r + 3)*(7*r - 2)/8
Let o be 93/30 - (19110/(-84))/65. Factor o*p**2 - 12 - 3/5*p**3 - 24/5*p.
-3*(p - 10)*(p - 2)*(p + 1)/5
Factor -96/13*c**2 + 2/13*c**3 + 184/13*c + 0