that -134/3*w**3 + 374/3*w**2 + 48 + 2/3*w**5 + 10/3*w**4 - 132*w = 0.
-12, 1, 2, 3
Let r(u) = -3*u**2 - 6*u + 2. Let k be r(-4). Let f be (-6)/(-33) - 84/k. Factor -p**2 + 2072*p**4 + p**2 + p**3 - 2071*p**f.
p**3*(p + 1)
Let v(p) = 2*p**3 - 282*p**2 + 578*p - 290. Let u(n) = -5*n**2 + 1. Let a(s) = 2*u(s) + v(s). Factor a(f).
2*(f - 144)*(f - 1)**2
Let p(j) be the first derivative of 0*j**2 + 1/2*j**5 + 0*j**3 - 3/4*j**4 - 84 - 1/12*j**6 + 0*j. Suppose p(f) = 0. Calculate f.
0, 2, 3
Let r(p) = 49*p**3 + 948*p**2 + 4245*p - 162. Let g(i) = 50*i**3 + 949*i**2 + 4248*i - 162. Let w(a) = -4*g(a) + 3*r(a). What is s in w(s) = 0?
-9, 2/53
Factor 2/11*m**2 + 42632/11 - 584/11*m.
2*(m - 146)**2/11
Let k be 4*((-34)/24 - -2) - 2. Let r = k - -5/12. Factor -9/4*s**2 + r + 5/2*s - s**3.
-(s - 1)*(s + 3)*(4*s + 1)/4
Solve 0*u**4 + 14*u + u - 119*u + 3*u**4 + 38*u - 63 + 66*u**3 + 60*u**2 = 0.
-21, -1, 1
Let b(c) be the third derivative of c**7/1050 + 7*c**6/150 - c**5/5 + c**2 + 293*c. Factor b(f).
f**2*(f - 2)*(f + 30)/5
Suppose 0 = -4*p + 4*a, -2*a + 1 = -p - 1. Let s(c) be the first derivative of 18 - p*c + 2*c**2 - 2/3*c**3. Factor s(x).
-2*(x - 1)**2
Let f(t) be the third derivative of t**6/60 + 8*t**5/3 - 163*t**4/12 + 82*t**3/3 + 3*t**2 - 356. Factor f(l).
2*(l - 1)**2*(l + 82)
Let p be 4410/270 + (209/(-57))/(1/3). Let 8/3*s**3 - 8/3*s + p - 1/3*s**4 - 5*s**2 = 0. Calculate s.
-1, 1, 4
Suppose 300 = 64665*u - 64650*u. Solve 26/3*x**3 + u*x**2 + 56/3*x + 16/3 + 4/3*x**4 = 0.
-2, -1/2
Let t(o) be the first derivative of -4*o**3/3 + 52*o**2 - 420*o + 4865. Let t(w) = 0. What is w?
5, 21
Let r(y) be the first derivative of y**4/12 + 35*y**3/9 + 17*y**2/3 + 36. Suppose r(s) = 0. What is s?
-34, -1, 0
Let d(w) be the third derivative of w**5/75 - 37*w**4/15 + 2738*w**3/15 + 8*w**2 + 48. Let d(q) = 0. Calculate q.
37
Let h(w) = 2*w**3 - 8*w**2 + 3. Let x be h(4). Let 256*c**2 - 286*c**3 + 293*c**x + 128*c + 161*c**3 + 44*c**4 + 4*c**5 = 0. Calculate c.
-4, -2, -1, 0
Let z(o) = o**3 + 2*o**2 + 3. Let g(r) = -324*r**4 - 12172*r**3 - 125772*r**2 - 216320*r - 102412. Let l(q) = -g(q) - 4*z(q). Solve l(u) = 0.
-160/9, -1
Let s be ((-95)/342)/(1/(-9)). What is m in 0 - s*m**2 - 2*m**3 + 0*m + 1/2*m**4 = 0?
-1, 0, 5
Suppose 1620 = 5*l - 6275. What is o in 3*o**2 + 1595*o - 3141*o + l*o = 0?
-11, 0
Let h(w) = -w**5 + 11*w**4 - 21*w**3 + 25*w**2 - 18*w + 2. Let i(v) = 2*v**4 - v**3 - v - 1. Let l(z) = -h(z) + 2*i(z). Find a, given that l(a) = 0.
1, 2
Let h be (-592)/185*225/(-2). Find x such that -35 - 37 - h*x**2 - 2*x - 10*x + 364*x**2 = 0.
-3, 6
Let a = -374441 - -374444. What is u in 1/4*u + 5/4*u**4 - 1/4*u**a + 0 - 5/4*u**2 = 0?
-1, 0, 1/5, 1
Let l(q) = 388*q**2 - 1028*q + 528. Let o(p) = -p**3 + 2*p**2 + p. Let w(f) = l(f) - 12*o(f). Find c such that w(c) = 0.
-33, 2/3, 2
Let r(z) be the first derivative of -11/6*z**2 + 1/12*z**4 + 96 - 8/9*z**3 + 6*z. Solve r(q) = 0.
-2, 1, 9
Let n be (-3)/(-15)*-2 - 748/(-20). Let u = n + -26. Factor 8*w + 3*w**4 - 12*w**3 - 7*w**4 + 3*w**2 + u*w**5 - 7*w**5 + w**2.
4*w*(w - 2)*(w - 1)*(w + 1)**2
What is t in 4/5*t**2 + 0 + 536/5*t = 0?
-134, 0
Let 6258*r - 44402/7 + 594/7*r**2 + 2/7*r**3 = 0. What is r?
-149, 1
Let z(o) be the second derivative of o**4/12 - 2*o**3 + 5*o - 6. Let y(d) = d**2 - 10*d + 1. Let h(w) = 4*y(w) - 3*z(w). Factor h(t).
(t - 2)**2
Let x(s) be the second derivative of -s**8/1680 - s**7/120 + 17*s**3/2 + 2*s + 56. Let h(c) be the second derivative of x(c). Factor h(d).
-d**3*(d + 7)
Suppose 0*r**3 - 4*r**3 - 400*r - 18845*r**2 + 18441*r**2 = 0. What is r?
-100, -1, 0
Suppose 3/5*m**4 + 97263/5*m**2 - 3641757/5*m + 18545418/5 - 927/5*m**3 = 0. Calculate m.
6, 101
Let i be (-1 + -13 - 1) + -1. Let x = 16 + i. Suppose -b**3 + 2*b**5 + x*b**4 - 4*b**4 + 3*b**3 = 0. Calculate b.
0, 1
Let c be 61161/338143 + 224/(-74) + 3. Solve -2/13*y**2 + 60/13 + c*y = 0 for y.
-5, 6
Let z be 1/5*7/(-2)*(-120)/42. Let f(q) be the first derivative of -17 + 4/5*q + 3/5*q**z + 2/15*q**3. Factor f(i).
2*(i + 1)*(i + 2)/5
Suppose 16*r - 15*r + 2*d - 43 = 0, -r + 5*d + 8 = 0. Let t be (-33 + r)*(-2)/2. Let 10/3*g**2 + t - 8/3*g - 2/3*g**3 = 0. What is g?
0, 1, 4
Let i(l) be the third derivative of -l**8/112 + 4*l**7/35 - 19*l**6/40 + 2*l**5/5 + 5*l**4/2 - 8*l**3 - 1731*l**2. Determine s, given that i(s) = 0.
-1, 1, 2, 4
Let m(p) be the first derivative of 7/30*p**3 - 3/10*p**2 + 0*p + 3/40*p**4 + 46. Solve m(g) = 0 for g.
-3, 0, 2/3
Let c(l) = -19*l**2 + 2016*l - 254021. Let m(v) = -30*v**2 + 3024*v - 381032. Let y(o) = 8*c(o) - 5*m(o). Factor y(p).
-2*(p - 252)**2
Let d(y) = -20*y**2 - 40*y. Let t(i) = -8*i**2 - 38*i + 38. Let l be t(1). Let q(v) = -13*v**2 - 27*v. Let h(u) = l*q(u) + 5*d(u). Let h(s) = 0. What is s?
-4, 0
Let u(b) be the first derivative of 1/5*b**2 - 1/90*b**4 + 21*b - 33 - 2/45*b**3. Let r(c) be the first derivative of u(c). Find x such that r(x) = 0.
-3, 1
Let -2/11*w**5 - 8/11*w**4 + 12/11*w**2 + 0*w + 0 - 2/11*w**3 = 0. What is w?
-3, -2, 0, 1
Let c be (22 - (2 - -19))*6/4*220/165. Solve -48/5*h**c - 6/5*h**3 + 3/5*h**5 + 24/5*h**4 + 24/5 + 3/5*h = 0.
-8, -1, 1
Let q(t) = -3*t**2 + 310*t + 881. Let a(h) = -8*h**2 + 620*h + 1761. Let y(n) = -4*a(n) + 9*q(n). Factor y(x).
5*(x + 3)*(x + 59)
Let l = -42160/3 + 14055. Let r(s) be the second derivative of -4*s - 5/3*s**4 + 15/2*s**2 + 0 - l*s**3 + 1/2*s**5 + 1/6*s**6. What is p in r(p) = 0?
-3, -1, 1
Let c(m) = -m**3 + 4*m**2 + 2*m - 115. Let a be c(0). Let k = a - -118. Factor -12/7*x**2 - 12/7*x**k - 6/7*x**5 - 6/7 + 18/7*x + 18/7*x**4.
-6*(x - 1)**4*(x + 1)/7
Let r be (-3525 + 0)*(-80)/200. Let h = r - 4202/3. Let -h*y**2 - 40/3*y + 0 - 4/3*y**3 = 0. What is y?
-5, -2, 0
Solve 0*y**3 + 13*y**2 + 9*y**2 - 18*y**2 - 4*y**3 = 0 for y.
0, 1
Let o(q) = q**2 + 24*q - 305. Let b be o(-34). Let v(t) = 2*t**3 - 72*t**2 + 69*t + 37. Let i be v(b). Solve -8/11*x - 10/11*x**i - 2/11*x**3 + 0 = 0 for x.
-4, -1, 0
Let y(v) be the first derivative of -2*v**3/3 - 1059*v**2 + 4244*v + 1052. Determine d so that y(d) = 0.
-1061, 2
Let u(c) = -9*c**2 + 44*c + 10. Let i be u(5). Suppose 4*y = 0, 9*g - 7*g - 6 = -i*y. Determine w so that -5*w + 5/3*w**g + 0*w**2 - 10/3 = 0.
-1, 2
Let u(x) be the third derivative of x**7/5040 - x**6/240 - 5*x**4/12 - 5*x**3/6 + 25*x**2 - x. Let a(c) be the second derivative of u(c). Solve a(t) = 0 for t.
0, 6
Suppose -2*u = -3*n - 17, 0 = -4*n + 12 - 16. Let z(a) be the second derivative of 0 + 0*a**2 + u*a - 1/51*a**3 - 1/51*a**4 - 1/170*a**5. Solve z(b) = 0.
-1, 0
Let a = -110 - -128. Factor a + 0*j + 0*j**3 + 0*j - 10*j**2 + 6*j + 2*j**3.
2*(j - 3)**2*(j + 1)
Let o = 56598 + -56595. Suppose 8/3*g**2 - 2/3*g**o + 10/3*g + 0 = 0. Calculate g.
-1, 0, 5
Let y(n) be the third derivative of -3*n + 0 + 1/60*n**6 + 98/3*n**3 - 2/5*n**5 + 45*n**2 + 7/4*n**4. Suppose y(f) = 0. What is f?
-2, 7
Let d(o) be the first derivative of -o**5/40 - 7*o**4/16 + 2*o**3 - 38*o**2 - 24. Let s(x) be the second derivative of d(x). Determine y so that s(y) = 0.
-8, 1
Let m be 22/(-66) + 1/((-60)/(-92)) + -1. Let f(u) be the first derivative of 0*u**2 + 0*u + m*u**5 - 12 - u**3 - 1/2*u**4. Factor f(d).
d**2*(d - 3)*(d + 1)
Let j = 17 - 10. Suppose 5 = 3*p + u, 2*p - 7 = 3*u - 0. Solve 12*r**4 - 5*r**p + 4*r**3 - 10*r**2 + j*r**2 = 0 for r.
-1, 0, 2/3
Let r(j) be the second derivative of -4*j + 0*j**2 - 11/6*j**6 + 29 + 0*j**5 + 0*j**3 + 0*j**4 + 5/42*j**7. Find o, given that r(o) = 0.
0, 11
Let p = 558 - 564. Let w(a) = -4*a**2 + 20*a + 20. Let g(m) = -2*m + 2. Let s(y) = p*g(y) - w(y). Determine r, given that s(r) = 0.
-2, 4
What is x in -32/7 + 216/7*x - 32/7*x**2 - 18*x**3 - 26/7*x**4 = 0?
-4, -2, 2/13, 1
Let k(w) be the third derivative of -72361*w**5/120 - 269*w**4/24 - w**3/12 - 10*w**2 - 44. Suppose k(p) = 0. What is p?
-1/269
Let r(j) be the second derivative of -j**7/21 + 4*j**6/15 - j**5/10 - 5*j**4/3 + 4*j**3/3 + 8*j**2 + 952*j. Factor r(f).
-2*(f - 2)**3*(f + 1)**2
Let u(a) = -a**2 - 9*a - 8. Let g(k) = -5*k**2 - 44*k - 39. Let p(w) = -8*g(w) + 44*u(w). Let p(x) = 0. Calculate x.
-10, -1
Suppose 220*w - 616 = -55*w - 33*w. Find o, given that -8/7*o - 32/7 + 4/7*o**w = 0.
-2, 4
Determine j so that 2749/5*j + 41/5*j**2 + 134/5 = 0.
-67, -2/41
Suppos