 -t**2 - 2*t - 2. Let b be (((-3 - -4) + 0)/1)/1. Let x(o) = b*q(o) - 6*m(o). Factor x(c).
4*c*(c + 57)
Suppose 12 + 1/2*y**2 - 7*y = 0. What is y?
2, 12
Let h be ((-166)/(-30) - 1) + 624/(-144) - 0. Suppose -h - 2/5*c + 0*c**2 + 2/5*c**3 + 1/5*c**4 = 0. Calculate c.
-1, 1
Let h(v) = -15*v**3 - 30*v**2 - 25*v + 5. Let n(d) = 47*d**2 + 12*d - 32*d**2 + 5*d**3 + 2*d**3 - 2. Let u(z) = -2*h(z) - 5*n(z). Determine y so that u(y) = 0.
-2, -1, 0
Let y(z) be the first derivative of -138 + 3/4*z**3 + 5/2*z**4 + 4/5*z**5 + 1/2*z - 13/8*z**2. Factor y(m).
(m + 1)*(m + 2)*(4*m - 1)**2/4
Let t(l) be the third derivative of -1/2*l**3 + l**2 + 1/420*l**5 + 1/42*l**4 + 0*l + 46. Factor t(x).
(x - 3)*(x + 7)/7
Let o be (1218/(-5916))/(196/(-238)). Find u, given that 7 - 29/4*u + o*u**2 = 0.
1, 28
Find f such that 932/7*f + 264 + 4/7*f**2 = 0.
-231, -2
Let -2379 + 2382*g + 1657*g**2 - 553*g**2 - 554*g**2 - 553*g**2 = 0. Calculate g.
1, 793
Let d(r) = -4*r**4 + 14*r**3 + 79*r**2 - 94*r. Let u(s) = 3*s**4 - 15*s**3 - 76*s**2 + 92*s. Let z(x) = -4*d(x) - 5*u(x). Factor z(t).
t*(t - 1)*(t + 6)*(t + 14)
Let g(y) be the first derivative of -y**5/5 - 5*y**4/2 - 29*y**3/3 - 16*y**2 - 12*y + 2576. Factor g(b).
-(b + 1)**2*(b + 2)*(b + 6)
Let b(y) be the first derivative of -y**6/30 - 14*y**5/3 - 1225*y**4/6 + 73*y**2/2 + 13. Let x(q) be the second derivative of b(q). Let x(m) = 0. What is m?
-35, 0
Let v = 199534 + -1396722/7. Solve -12/7*p**4 + 4/7*p**2 - 2/7*p**5 + 8/7 - v*p**3 + 18/7*p = 0.
-4, -1, 1
Let o(z) be the second derivative of 8 + 0*z**3 + 0*z**4 + 1/147*z**7 + 0*z**5 + 0*z**2 - 6*z + 17/105*z**6. Suppose o(w) = 0. What is w?
-17, 0
Let f(o) be the second derivative of o**4/3 + 44*o**3 + 610*o**2 - 150*o. Factor f(j).
4*(j + 5)*(j + 61)
Determine m so that -15/7*m**5 + 0 - 192/7*m - 864/7*m**3 + 780/7*m**2 + 291/7*m**4 = 0.
0, 2/5, 1, 2, 16
Let n be 16/(-96) - (2/(-12) + 0). Let i(d) be the first derivative of -23 + n*d - 1/24*d**4 - 2/9*d**3 - 1/4*d**2. Suppose i(w) = 0. What is w?
-3, -1, 0
Let h(y) be the first derivative of -5*y**4/4 - 125*y**3/3 - 55*y**2 + 240*y + 762. Factor h(i).
-5*(i - 1)*(i + 2)*(i + 24)
Let c(z) be the third derivative of -z**6/40 - 4*z**5/15 + 5*z**4/2 - 16*z**3/3 + 249*z**2 + 2. Find j, given that c(j) = 0.
-8, 2/3, 2
Suppose 5*w = -5*q + 60, -3*q + 6*q - 44 = -4*w. Let u be 2/5 - w*2/(-10). Suppose 352*n**2 + 6 + 3*n**3 - 362*n**u + n + 0 = 0. Calculate n.
-2/3, 1, 3
Let t(d) be the first derivative of 135*d**6/8 + 9*d**5/2 + d**4/2 - 6*d**3 + 48. Let o(v) be the third derivative of t(v). What is i in o(i) = 0?
-2/45
Let z(y) be the first derivative of 0*y - 1/14*y**6 - 9/28*y**4 + 0*y**3 + 50 + 12/35*y**5 + 0*y**2. Factor z(n).
-3*n**3*(n - 3)*(n - 1)/7
Let j(h) be the second derivative of h**5/4 - 5555*h**4/4 + 6171605*h**3/2 - 6856653155*h**2/2 - 4031*h. Let j(x) = 0. Calculate x.
1111
Suppose -34 = -2*b + 2*u, 2*b + 4*u - 9 = 7. Suppose -b*l = -16*l + 8. Suppose 7*h**2 - 3*h**3 - 2*h - 2*h**5 + 4*h**l - 11*h**4 + 7*h**5 = 0. Calculate h.
-1, 0, 2/5, 1
Let n = 3547/3220 - -19/460. Find z, given that -6/7*z**2 + 2*z**4 + 32/7*z**3 - 32/7*z - n = 0.
-2, -1, -2/7, 1
What is s in 10/3*s**2 + 32*s - 2/3*s**3 - 72 = 0?
-6, 2, 9
Let u = -1/78361 + 3369525/156722. Factor -u*t - 15 - 6*t**2 + 1/2*t**3.
(t - 15)*(t + 1)*(t + 2)/2
Let q(r) be the first derivative of -8*r**3 + 0*r - 9/2*r**4 + 14/5*r**5 + 4*r**2 - 29. Factor q(i).
2*i*(i - 2)*(i + 1)*(7*i - 2)
Let i(z) be the third derivative of 0*z + 1/12*z**3 + 0 + 1/480*z**6 - 1/840*z**7 + 1/80*z**5 - 5/96*z**4 - 143*z**2. Suppose i(t) = 0. Calculate t.
-2, 1
Suppose 43*u + 9 = 42*u. Let i be (-2 - u/2)*24/20. What is w in -10 - 5*w - 42*w**4 - 2*w**3 + 15*w**2 + 7*w**i + 37*w**4 = 0?
-1, 1, 2
Let a(v) be the first derivative of v**6/6 - 12*v**5/5 + 53*v**4/4 - 106*v**3/3 + 48*v**2 - 32*v - 3265. Factor a(k).
(k - 4)**2*(k - 2)*(k - 1)**2
Suppose 6*y = 21 - 177. Let z = -23 - y. Suppose 6*d**z - 3*d + 139*d**4 - 3*d**5 - 139*d**4 = 0. What is d?
-1, 0, 1
Let w(r) be the second derivative of -64*r**2 - 16/9*r**3 - 1/54*r**4 + 2 + 18*r. Factor w(h).
-2*(h + 24)**2/9
Let k = 59368/186675 - 22/9825. Let u be (5 - -1)/((-4)/(-2)). Suppose 0*v - k*v**2 + 8/19 + 2/19*v**u = 0. What is v?
-1, 2
Let z(k) be the second derivative of -80*k + 0*k**6 - 1/42*k**7 + 0*k**4 + 0 + 0*k**2 - 1/6*k**3 + 1/10*k**5. Solve z(o) = 0 for o.
-1, 0, 1
Suppose 0 = -7*d + 1 + 13. Factor -5*z**4 - 6*z**d - 9*z**3 + 2*z**2 + 15*z + 10 - z**2 - 6*z**3.
-5*(z - 1)*(z + 1)**2*(z + 2)
Let k(o) be the third derivative of o**6/24 + 77*o**5/6 - 5*o**4/24 - 385*o**3/3 - 7*o**2 - 43. Factor k(m).
5*(m - 1)*(m + 1)*(m + 154)
Let v(q) be the second derivative of q**8/420 - 11*q**7/210 + q**6/9 - 5*q**3/2 - 2*q**2 - q + 9. Let j(s) be the second derivative of v(s). Factor j(u).
4*u**2*(u - 10)*(u - 1)
Let m(g) be the second derivative of 0*g**2 - g - 1/70*g**6 + 0*g**3 - 1/28*g**4 + 41 + 3/70*g**5. Determine l, given that m(l) = 0.
0, 1
Let w = 2/3873 - -3869/7746. Let x(m) be the first derivative of -w*m**2 + 1/3*m**3 + 4 + 0*m. Solve x(q) = 0 for q.
0, 1
Let r(i) = -i**2 - 28*i + 39. Let m be r(-29). Suppose -z + 7 = -5*v + m, 2*v + 6 = -2*z. Factor 6/7*o + v + 3/7*o**2.
3*o*(o + 2)/7
Suppose -4*y = d + 541 - 589, -4*d - 3*y = -62. Solve -186/5*c**3 + 16*c**5 + d*c**2 + 0 + 8/5*c + 58/5*c**4 = 0 for c.
-2, -1/8, 0, 2/5, 1
Let b(k) be the second derivative of 0 - k**4 - 8/3*k**3 + 1/5*k**5 - 217*k + 24*k**2. Find z such that b(z) = 0.
-2, 2, 3
Let z = 903/67 - 4113/335. Factor -2/5*u**3 + z*u + 0 - 4/5*u**2.
-2*u*(u - 1)*(u + 3)/5
Factor -a**3 - 15206*a**2 + 7612*a**2 + 7635*a**2 - 40*a.
-a*(a - 40)*(a - 1)
Let u(q) = q**2 - 8*q + 14. Let b(y) = y + 2. Let l be b(5). Let d be u(l). Find t, given that 13*t - 4*t**2 + t - 5*t**3 - d*t**3 + 4 - 2*t = 0.
-1, -1/3, 1
Let a(b) = 13*b**2 - 3030*b + 765081. Let c(j) = 31*j**2 - 6060*j + 1530165. Let n(x) = 5*a(x) - 2*c(x). Factor n(v).
3*(v - 505)**2
Suppose -w + 12 = u, -4*u + 0*u - w + 33 = 0. Let z(b) = -4*b**2 + 30*b - 10. Let p be z(u). Let -g - 2*g + 5*g**2 + 7*g - p*g**2 = 0. Calculate g.
-4, 0
Let d be 16/12 - (-2)/3. Let i(f) = f**2 + 3*f + 3. Let n be (-2)/(-2) + (-32)/(4 + 4). Let g(w) = 2*w**2 + 2*w + 2. Let m(c) = d*i(c) + n*g(c). Factor m(y).
-4*y**2
Let h(d) be the third derivative of -1/105*d**7 + 0*d**3 + 0 - 1/6*d**4 + 1/30*d**5 + 1/30*d**6 - 61*d**2 + 0*d. Factor h(i).
-2*i*(i - 2)*(i - 1)*(i + 1)
Factor -633/5*o + 0 - 3/5*o**2.
-3*o*(o + 211)/5
Let o(p) be the first derivative of -p**6/120 + 79*p**5/360 + p**4/4 - p**3/3 - 9*p**2/2 - 63. Let f(x) be the third derivative of o(x). Factor f(v).
-(v - 9)*(9*v + 2)/3
Let m(k) = k**3 + 30*k**2 - 62*k + 63. Let t be m(-32). Let i be (12/t)/3 + 340/85. Suppose 1/2*p**3 + 7/4*p**2 + i - 1/4*p**4 + p = 0. What is p?
-1, 0, 4
Suppose -2/11*y**4 + 2/11*y**5 + 0 - 14/11*y**3 + 2/11*y**2 + 12/11*y = 0. What is y?
-2, -1, 0, 1, 3
Factor 2125*d - 35080 - d**2 + 5*d**2 + 427*d + 64902 + 377222.
4*(d + 319)**2
Let r(a) = a**3 - 133*a**2 - 1315*a - 331. Let w be r(-9). Find k such that -254/7*k - 32/7 + 32/7*k**3 - 496/7*k**w = 0.
-1/4, 16
Solve 273143 - 314905 - 449365 - 3364*w**2 - 214473 - 708960*w - 4*w**3 = 0 for w.
-420, -1
Let u(j) be the third derivative of 0*j + 0 + 55/6*j**4 - 89*j**2 + 28/3*j**3 - 4/15*j**5. Suppose u(t) = 0. What is t?
-1/4, 14
Let h(y) be the second derivative of 1/18*y**5 - 1/18*y**4 - 1/135*y**6 + 0 + 0*y**2 - 1/3*y**3 - 87*y. Find s, given that h(s) = 0.
-1, 0, 3
Let a be 19050/1000 + -26 + 2/10 - -10. Factor -1/4*j**2 - a*j - 21/2.
-(j + 6)*(j + 7)/4
Suppose 2*j + 4*b = 26, 0 = -3*j + 4*b + 14 + 55. Factor 2*g**2 - 13*g - 5*g**2 - 10*g + j*g + g**2.
-2*g*(g + 2)
Let n be (-29)/(-3) + (16/(-6))/(-8). Let n + 42 + 21*y + 4*y**2 - 3*y + 11*y + 27*y = 0. What is y?
-13, -1
Let s(k) be the first derivative of -7/8*k**4 - k + 2*k**3 - 239 - 3/4*k**2. Find w such that s(w) = 0.
-2/7, 1
Let y(s) be the second derivative of -s**4/6 - 49*s**3/3 + 270*s**2 - 23*s + 37. Factor y(c).
-2*(c - 5)*(c + 54)
Let r(f) = 19*f - 34*f - 13*f + 6*f**2 + 4. Let l(n) = 7*n**2 - 26*n + 5. Let t(h) = 4*l(h) - 5*r(h). Suppose t(d) = 0. What is d?
0, 18
Suppose -5/2*t**3 + 1/6*t**4 - 6 + 35/6*t**2 + 5/2*t = 0. Calculat