 Factor g(t).
3*(t - 10)*(t + 12)/5
Let s be (252/30)/((-26)/(-20) - 1). Factor 11*r**3 - 25*r**4 + s*r**2 + 12 + 34*r - 6*r**5 + 4*r**5 + 17*r**4 - 11*r**3.
-2*(r - 2)*(r + 1)**3*(r + 3)
Let r = -2305859/3 + 768625. Factor -2/3*k**2 - 8 - r*k.
-2*(k + 2)*(k + 6)/3
Let x(k) = 43*k**3 + 632*k**2 + 1127*k + 223. Let h(b) = -22*b**3 - 316*b**2 - 564*b - 108. Let w(g) = -9*h(g) - 4*x(g). Factor w(y).
2*(y + 2)*(y + 10)*(13*y + 2)
Factor 73/4*a**2 + 1/8*a**5 + 17/4 + 3/2*a**4 - 117/8*a - 19/2*a**3.
(a - 2)*(a - 1)**3*(a + 17)/8
Let f(q) be the second derivative of 0*q**3 - 2 + 0*q**2 - 5/42*q**7 + 10/3*q**4 + 15/4*q**5 + q**6 - 74*q. Solve f(l) = 0.
-1, 0, 8
Let -816/7*m**2 - 27648/7 + 44/7*m**4 - 2/7*m**5 + 11520/7*m - 248/7*m**3 = 0. What is m?
-6, 6, 8
Let o(g) be the second derivative of g**7/42 + 9*g**6/5 - 143*g**5/10 + 131*g**4/3 - 137*g**3/2 + 59*g**2 + 129*g + 3. Find l, given that o(l) = 0.
-59, 1, 2
Let i(c) be the second derivative of -c**7/147 - 17*c**6/21 - 335*c**5/14 + 5545*c**4/42 - 5720*c**3/21 + 1936*c**2/7 - 102*c - 4. Factor i(w).
-2*(w - 1)**3*(w + 44)**2/7
Let t(a) be the first derivative of -4/105*a**5 + 8/21*a**4 + 0*a + 1/630*a**6 + 0*a**2 - 18 + 5*a**3. Let c(l) be the third derivative of t(l). Factor c(z).
4*(z - 4)**2/7
Suppose -4*n = 23*n - 12663. Solve -141*h**5 + n*h**4 + 134*h**4 + 33*h**5 + 75 - 1272*h**3 - 540*h + 1242*h**2 = 0 for h.
1/4, 1, 5/3
Let c(s) be the third derivative of s**5/20 + 285*s**4/4 + 81225*s**3/2 + 1505*s**2. Factor c(q).
3*(q + 285)**2
Let n(f) = 44*f**2 + 15*f. Let g be n(4). Let -1000 + 371*v - 707*v + 136*v**3 + 20*v**4 - 5*v**5 - g*v - 190*v**2 - 32*v**3 + 11*v**3 = 0. Calculate v.
-2, 5
Let z(g) = 15*g**2 - 549*g + 2247. Let d(m) = 6*m**2 + 1. Let w(s) = -3*d(s) + z(s). Solve w(u) = 0 for u.
-187, 4
Let w(q) = 15*q**3 - 31*q**2 + 54*q - 67. Let t be 49/3 + 28/(-21) - 2. Let v(p) = 7*p**3 - 15*p**2 + 27*p - 33. Let l(f) = t*v(f) - 6*w(f). Factor l(b).
(b - 3)**3
Let h = 7474 + -22063/3. Let x = -119 + h. Factor 0 + 2/3*t**2 - 2/3*t + x*t**3 - 2/3*t**4.
-2*t*(t - 1)**2*(t + 1)/3
Let v = -8803/255 - -1781/51. Solve -16/5*d + v*d**2 + 0 = 0 for d.
0, 8
Suppose 441/4 - 41/4*c**2 - 1/4*c**3 - 399/4*c = 0. What is c?
-21, 1
Let v be (2 + (-1 - 0))*(-4 + 4). Suppose -2*w = 3*i - 15, v = -4*w + 3*i - 5 - 10. What is t in w + 4/3*t**2 + 0*t - 2*t**3 = 0?
0, 2/3
Let g(k) be the third derivative of 2*k**2 + 1/390*k**5 + 0*k - 30 + 34/39*k**3 - 35/156*k**4. Let g(b) = 0. Calculate b.
1, 34
Suppose -4*k + 36 = -4*p, 4*k = -4*p + 272 - 212. Suppose 50/3*s**2 + 0 + 5/3*s**p + 80/3*s = 0. What is s?
-8, -2, 0
Determine m so that 0 - 3*m**3 - 16*m - 5/2*m**4 + 24*m**2 = 0.
-4, 0, 4/5, 2
What is b in 386/3*b**2 + 25/3*b**4 + 1/6*b**5 + 35 + 59*b**3 + 677/6*b = 0?
-42, -5, -1
Determine m so that 45*m**3 + 34*m**2 + 84*m**2 - 10*m**5 - 172*m**2 + 74*m**2 - 20*m - 5*m**4 = 0.
-2, -1, 0, 1/2, 2
Suppose 161 = 7*c + 147. Solve l**3 - 14330*l - 3*l**4 + 14330*l + c*l**3 - 3*l**5 + 3*l**2 = 0.
-1, 0, 1
Let z be 734 + (2 + -6 - 0). Suppose 6*t + z = 16*t. Factor -13*f + 50*f**2 - 5*f**3 - 39*f - t*f.
-5*f*(f - 5)**2
Factor -50/3*n**3 + 0 - 34/3*n - 8/3*n**4 - 76/3*n**2.
-2*n*(n + 1)**2*(4*n + 17)/3
Let o(f) be the third derivative of -1/320*f**6 + 0*f - 43*f**2 + 0 + 1/10*f**5 - 77/64*f**4 + 49/8*f**3. Factor o(v).
-3*(v - 7)**2*(v - 2)/8
Let q(k) = 5*k - 38. Let i be q(8). Let z be ((-472)/120 - 6/15) + 5. Factor -z*x + 2/9*x**i + 4/9.
2*(x - 2)*(x - 1)/9
Let i(n) = 64*n**2 - 1560*n + 579. Let u be i(24). Factor 2/9*w**u - 4/9*w**2 - 40/9*w - 16/3.
2*(w - 6)*(w + 2)**2/9
Let q(h) = 3*h**4 + 6*h**3 + h**2 + 3*h - 1. Let p(g) = -20*g**4 - 8*g**3 + 124*g**2 + 136*g + 72. Let f(s) = -p(s) - 8*q(s). Factor f(j).
-4*(j + 1)**2*(j + 4)**2
Let w(t) be the second derivative of -55*t**4/2 - 35*t**3/6 + 1723*t. Factor w(o).
-5*o*(66*o + 7)
Let a = 2226536/19 + -117186. Solve 0 + 22/19*k - a*k**2 = 0.
0, 11
Let u(r) = -r**4 + 1598*r**3 - 638397*r**2 + 1272011*r - 635209. Let d(s) = -2*s**3 - s**2 + s. Let m(b) = 2*d(b) + 2*u(b). What is i in m(i) = 0?
1, 797
Let j(i) = -i**3 + 82*i**2 - 61*i - 1620. Let n be j(81). Suppose n + 4/3*b**5 - 1/3*b - b**3 - 4/3*b**4 + 4/3*b**2 = 0. Calculate b.
-1, 0, 1/2, 1
Let q(r) = -15*r**3 + 3024*r**2 - 992040*r + 109783128. Let z(j) = j**3 - 3*j**2 + 2*j - 2. Let x(p) = q(p) + 12*z(p). Factor x(s).
-3*(s - 332)**3
Let a(g) = g + 7. Let j be a(-5). Suppose -8 = 3*x + 4*i, 5*x + 66 + 19 = -21*i. Factor -2/11*b**x - 8/11*b - 16/11*b**j - 10/11*b**3 + 0.
-2*b*(b + 1)*(b + 2)**2/11
Let w be 19 + 12/(-1) + -4. Let b(k) be the second derivative of 0*k**2 + 1/45*k**5 + 0*k**4 + 0 + 0*k**w - 22*k - 1/45*k**6. Factor b(v).
-2*v**3*(3*v - 2)/9
Let q(a) be the second derivative of 2*a**7/7 - 5*a**6/2 + 63*a**5/10 + 7*a**4/4 - 26*a**3 + 18*a**2 + 3*a + 138. Solve q(i) = 0 for i.
-1, 1/4, 2, 3
Let t(b) be the first derivative of -49*b**4/24 - 7*b**3/2 - 9*b**2/4 + 34*b - 105. Let x(c) be the first derivative of t(c). Determine s, given that x(s) = 0.
-3/7
Suppose 0*u + 5*u + 5*a = 100, -3*a = 2*u - 42. Let i = -16 + u. Let -9 - 6*o**2 + 7*o + 7 + i*o**3 - o = 0. What is o?
1
Let x be (16/(-728))/(3/(-39)). Let r(k) = 2*k + 2. Let d be r(-1). Find n such that x*n - 10/7*n**2 + d = 0.
0, 1/5
Let a(g) be the third derivative of g**6/600 - 7*g**5/50 - 43*g**4/120 + 4418*g**2. Find s such that a(s) = 0.
-1, 0, 43
Let s(x) = -5*x**2 + 10*x - 2. Let q be s(1). Factor -120 + 120 - 15*h**4 - 4*h**3 + 12*h + 36*h**2 + 13*h**q.
-3*h*(h - 2)*(h + 1)*(5*h + 2)
Let h(b) = 531*b**3 + 2*b**2 - b - 1. Let c be h(-1). Let v be 2/(-5) + c/(-460). Let 3/2*u**2 + 0 + 3/4*u**3 + v*u = 0. Calculate u.
-1, 0
Let g(z) be the first derivative of z**5/180 - z**4/18 + 2*z**3/9 - 13*z**2/2 + 40. Let j(o) be the second derivative of g(o). Factor j(b).
(b - 2)**2/3
Let d(m) be the first derivative of -5/33*m**4 + 1/330*m**5 + 9/2*m**2 + 100/33*m**3 + 0*m - 11. Let b(j) be the second derivative of d(j). Factor b(g).
2*(g - 10)**2/11
Let f(c) be the third derivative of -2*c**7/315 - 41*c**6/45 + 11*c**5/5 + 674*c**4/9 + 3320*c**3/9 + 32*c**2 + 14*c + 5. Suppose f(m) = 0. Calculate m.
-83, -2, 5
Let n(w) be the second derivative of w**6/40 + 3*w**5/8 + 27*w**4/16 + 9*w**3/4 + 317*w - 5. Factor n(k).
3*k*(k + 1)*(k + 3)*(k + 6)/4
Suppose 0 - 62*n + 93/2*n**3 - 1/2*n**5 + 2*n**2 + 14*n**4 = 0. What is n?
-2, 0, 1, 31
Suppose -2038/15*s**2 + 4/15*s + 0 = 0. What is s?
0, 2/1019
Let k(o) be the first derivative of 1/35*o**5 + 6/7*o**4 + 0*o + 48/7*o**3 + 0*o**2 + 63. Solve k(l) = 0.
-12, 0
What is v in -43/2 - 127/4*v + 7/4*v**4 + 519/4*v**2 - 313/4*v**3 = 0?
-2/7, 1, 43
Let g(q) be the first derivative of 62 - 6*q + 5/4*q**4 + 1/5*q**5 - 5/2*q**2 + 5/3*q**3. Determine c, given that g(c) = 0.
-3, -2, -1, 1
Factor -25/4*l**2 - 14641 - 605*l.
-(5*l + 242)**2/4
Suppose -66*x**2 + 156061*x**3 + 0 - 156058*x**3 + 1 - 1 = 0. What is x?
0, 22
Let o(v) be the first derivative of -1/5*v**4 + 3/100*v**5 + 1/2*v**3 - 3/5*v**2 - 27 - 18*v. Let h(p) be the first derivative of o(p). Factor h(q).
3*(q - 2)*(q - 1)**2/5
Let y = -8359 - -8364. Let u(w) be the second derivative of -w + 5/3*w**3 - 25/7*w**2 + 1/70*w**y - 11/42*w**4 + 0. Factor u(x).
2*(x - 5)**2*(x - 1)/7
Let -238*t**2 - 10653055*t - 61440 + 10667263*t + 3*t**3 - 161*t**2 = 0. What is t?
5, 64
Let l(u) be the third derivative of 0 + 1/20*u**5 + 23/4*u**4 + 52*u**2 + 0*u + 529/2*u**3. Solve l(t) = 0 for t.
-23
Suppose 934*r**2 - 984*r + 2 - 26 - 64 - 1 + 17 + 940*r**3 + 174*r**4 = 0. What is r?
-3, -2/29, 2/3
Let f(o) be the third derivative of o**8/1176 + 4*o**7/735 - 9*o**6/140 + 19*o**5/105 - 4*o**4/21 - 9*o**2 + 3*o + 13. Determine g, given that f(g) = 0.
-8, 0, 1, 2
Let l(b) be the third derivative of b**8/42 + 44*b**7/105 + 41*b**6/60 + b**5/3 + 150*b**2 + 4. Find z, given that l(z) = 0.
-10, -1/2, 0
Let x(f) be the third derivative of f**8/28 - 3*f**7/70 - f**6/40 + 748*f**2. Solve x(i) = 0 for i.
-1/4, 0, 1
Let p = 32061 + -21163. Let g be p/60 + (-8 - (-472)/60). Factor 6*y - 66*y**2 + g*y**3 + 0.
3*y*(11*y - 2)**2/2
Let x(v) be the third derivative of -v**5/140 - 17*v**4/56 + 6*v**3 + 436*v**2 - 2*v. Determine g, given that x(g) = 0.
-21, 4
Let h be 2/(-2) - -3*8. Suppose -b + 6*b