t w = 6604 + -6601. Let c(l) be the first derivative of 0*l**2 + 8/5*l - w - 6/5*l**3. Suppose c(a) = 0. Calculate a.
-2/3, 2/3
Let w(o) be the second derivative of o**6/30 - 3*o**5/10 - 19*o**4/3 - 31*o**3 - 117*o**2/2 + 13*o + 370. Let w(u) = 0. Calculate u.
-3, -1, 13
Suppose 512/9 + 1/9*u**3 + 8/3*u**2 + 64/3*u = 0. Calculate u.
-8
Let v be (-1)/((-10)/12) - (4 - 3). Let d be 16/10 - (4 + -5 + 2). Solve 1/5 - v*n**3 + d*n**2 - 3/5*n = 0 for n.
1
Factor -99*i + 3/5*i**3 + 492/5*i**2 + 0.
3*i*(i - 1)*(i + 165)/5
Let l(z) be the third derivative of -104*z**7/735 + 46*z**6/35 - 43*z**5/15 + 20*z**4/7 - 32*z**3/21 + 69*z**2 + 2*z + 6. Let l(j) = 0. Calculate j.
4/13, 1/2, 4
Suppose 0 = -7578*n + 6613*n. Factor 4/9*x**5 + 0*x**2 + 0*x + 0*x**4 + n - 16/9*x**3.
4*x**3*(x - 2)*(x + 2)/9
Let l(i) be the first derivative of i**6/42 - 4*i**5/35 - i**4/28 + 4*i**3/21 - 3633. What is h in l(h) = 0?
-1, 0, 1, 4
Let p(k) = 11*k**3 + 218*k**2 + 519*k - 17646. Let n(w) = -10*w**3 - 210*w**2 - 520*w + 17645. Let x(s) = -6*n(s) - 5*p(s). Solve x(m) = 0 for m.
-21, 8
Determine v so that -21*v**3 - 9/4*v**2 + 3/4*v**4 + 123/2*v + 42 = 0.
-1, 2, 28
Let x be (256/56 + -4)/((-6)/(-21)). Determine a so that -22*a - 14 + 3*a**2 - 81 + x*a**2 - 52*a - 16*a = 0.
-1, 19
Let k(t) be the second derivative of -49/30*t**6 - 2*t**2 - 72*t + 14/3*t**3 + 5/21*t**7 + 0 + 22/5*t**5 - 73/12*t**4. Find i such that k(i) = 0.
2/5, 1/2, 1, 2
Let w(l) be the first derivative of 0*l - 90 + 1/4*l**4 + 50*l**2 + 20/3*l**3. Let w(u) = 0. Calculate u.
-10, 0
Let c(x) be the third derivative of 0 + 1/60*x**5 + 14*x + 2*x**2 + 0*x**3 + 5/24*x**4. Factor c(m).
m*(m + 5)
Solve 2/21*z**3 - 104/21*z + 40/21*z**2 - 352/21 = 0.
-22, -2, 4
Let k(y) be the second derivative of -y**4/3 - 3244*y**3/3 - 1315442*y**2 + 8510*y. Solve k(p) = 0 for p.
-811
Let x be 2 + 14010/42 + -8. Let t = -327 + x. Solve 2/7*b**4 + 4/7*b**3 + 0*b**2 - t*b - 2/7 = 0.
-1, 1
Let z(r) be the first derivative of 3*r**6/8 - 29*r**5/4 + 275*r**4/24 - 15*r**3/2 + r**2/2 + 7*r + 31. Let j(g) be the second derivative of z(g). Factor j(y).
5*(y - 9)*(3*y - 1)**2
Let f(x) be the second derivative of x**7/189 + 16*x**6/135 + 73*x**5/90 + 71*x**4/27 + 124*x**3/27 + 40*x**2/9 + 3*x - 365. Let f(s) = 0. Calculate s.
-10, -2, -1
Let y(p) be the third derivative of -1/6*p**4 - 4/3*p**3 + 0 - 79/120*p**6 + 29/30*p**5 - 1/48*p**8 + 4/21*p**7 + 0*p + 63*p**2. Let y(u) = 0. Calculate u.
-2/7, 1, 2
Determine c so that -5/4*c**3 + 165/4*c + 175/4 - 15/4*c**2 = 0.
-7, -1, 5
Let 1/2*t**2 + 68*t + 2312 = 0. Calculate t.
-68
Suppose -4*g = -8*g - 8. Let a be 6 + g + -1 - 0. Suppose -u + 2*u**2 + 3 + u - 8*u**2 + a*u**4 = 0. What is u?
-1, 1
Factor 417*d**3 - 1922 + 1920*d**2 + 3*d**4 - d**4 + 408*d**3 - 949*d**3 + 124*d.
2*(d - 31)**2*(d - 1)*(d + 1)
Let h(l) = 3*l**5 - 14*l**4 - 17*l**3 - 10*l**2 - 5*l. Let a(i) = -5*i**5 + 28*i**4 + 33*i**3 + 18*i**2 + 9*i. Let w(v) = -10*a(v) - 18*h(v). Factor w(t).
-4*t**3*(t + 1)*(t + 6)
Let i(c) be the second derivative of -2*c**5/15 + c**4/2 + 28*c**3/3 + 81*c**2/2 + 11*c - 3. Let z(q) be the first derivative of i(q). Factor z(a).
-4*(a + 2)*(2*a - 7)
Let a(d) be the second derivative of -d**5/5 - 160*d**4/3 - 14504*d**3/3 - 131424*d**2 - 512*d + 4. Factor a(n).
-4*(n + 12)*(n + 74)**2
Let c(g) be the first derivative of -11/12*g**4 - 1/3*g**5 + 2/9*g**6 - 60 + 7/6*g**2 - 2/3*g + 7/9*g**3. Let c(t) = 0. What is t?
-1, 1/4, 1, 2
Let m(p) be the second derivative of p**5/10 + 5*p**4/6 - 2*p**3/3 - 24*p**2 - 75*p. Factor m(i).
2*(i - 2)*(i + 3)*(i + 4)
Suppose -4 = -0*i + 2*i, 4*b + 5*i + 1626 = 0. Let p be (-12)/(-2 + 4) - 2525/b. Factor -p*u**3 + 1/4 - 1/4*u**2 + 1/4*u.
-(u - 1)*(u + 1)**2/4
Let t(z) be the second derivative of 736/3*z**3 + 46/3*z**4 - 2/3*z**6 - 1/42*z**7 - 768*z**2 + 4*z - 99/20*z**5 - 15. Let t(d) = 0. What is d?
-8, 1, 3
Let v = 9 + -9. Suppose v = 5*f + 2*g - 25, f + 2*g = -3*g + 28. Suppose -7*y**4 - 4*y**5 + 3*y**4 - 23*y**f + 11*y**3 + 16*y**3 + 4*y**2 = 0. Calculate y.
-1, 0, 1
Let d = 2087/973 - 2/973. Let g(j) = -55*j**2 + 213*j + 28. Let y be g(4). Let -6/7*h + 15/7*h**4 + 0*h**3 + 6/7*h**5 - d*h**2 + y = 0. What is h?
-2, -1, -1/2, 0, 1
Let y(o) = 2*o**2 - 8*o - 12. Let r be y(7). Suppose -32*q + r*q = -4. Factor -51*n**2 - q*n + 25*n**2 + 2*n**3 - 2 + 28*n**2.
2*(n - 1)*(n + 1)**2
Let u(p) be the third derivative of p**6/600 - p**5/2 - p**4/30 + 20*p**3 - 330*p**2 + 2. Find n such that u(n) = 0.
-2, 2, 150
Let p = -1/250 + 63/125. Suppose 28 = 2*t - 5*u, 5*t + 2*u = -u + 8. Factor p*b**t + 0 + 2*b - 2*b**2 - 1/2*b**3.
b*(b - 2)*(b - 1)*(b + 2)/2
Find s, given that 5/6*s**4 + 0 - 4/3*s**3 - 2*s**2 + 1/6*s**5 + 0*s = 0.
-6, -1, 0, 2
Let p(t) be the first derivative of t**6/3 - 14*t**5/5 + 15*t**4/2 - 26*t**3/3 + 4*t**2 + 3395. Find r, given that p(r) = 0.
0, 1, 4
Let v(g) = -3*g**3 - 39*g**2 + 110*g + 36. Let f(o) = 4*o**3 + 39*o**2 - 110*o - 63. Let u(p) = -4*f(p) - 5*v(p). Factor u(s).
-(s - 36)*(s - 2)*(s - 1)
Let i(n) be the third derivative of n**5/150 + 2*n**4/3 - 176*n**3/15 + 86*n**2 + 1. Factor i(k).
2*(k - 4)*(k + 44)/5
Let z(g) be the third derivative of 0*g + 35/6*g**4 + 0 + 4/15*g**5 - 179*g**2 - 6*g**3. Solve z(l) = 0.
-9, 1/4
Let h(z) = 15*z**3 - 4*z**2 - 3*z + 8. Let a be h(4). Let n = a + -888. What is k in 0*k + 0*k**2 + 1/2*k**n + 3*k**3 + 0 = 0?
-6, 0
Let g(l) = l**3 - 2*l**2 - 6*l + 5. Let j be g(4). Let r = j + -11. Let 6*y + 10 - 7 - 2*y**r - 7 = 0. Calculate y.
1, 2
Let j = 641 - 628. Suppose -4 = j*n - 43. Factor 1/5*p**4 - 1/5*p**2 + 0 - 1/5*p**n + 1/5*p.
p*(p - 1)**2*(p + 1)/5
Let c(a) = 48*a**2 + 570*a + 279. Let i(z) = -3*z**2 + 3*z - 3. Let b(y) = -c(y) - 9*i(y). What is s in b(s) = 0?
-28, -3/7
Let b(k) be the third derivative of k**6/600 - k**5/30 + 23*k**4/120 - 7*k**3/15 - 224*k**2. Factor b(i).
(i - 7)*(i - 2)*(i - 1)/5
Let -207/8*r**3 + 33/4*r**4 - 429/2*r**2 - 507/2*r + 0 - 3/8*r**5 = 0. What is r?
-2, 0, 13
Let i be 2/16*(-426 + 430). Suppose 1/2*o**3 - i*o**4 + 0 - 1/2*o + 1/2*o**2 = 0. Calculate o.
-1, 0, 1
Let x be (5 - (5 - -5)) + -154. Let o = 213 - x. Suppose 360*g + 2*g**2 + 5 - o*g + 3 + 2*g**2 = 0. Calculate g.
1, 2
Factor -3480/13*b + 378450/13*b**2 + 8/13.
2*(435*b - 2)**2/13
Let a = 65 + -140. Let j be a/30*(-12)/10. Solve 44*z**j + 3*z**4 - 15*z**2 - 87*z**3 - 9*z + 40*z**3 = 0.
-1, 0, 3
Let a = -51119 - -51903. Determine b, given that -a*b - 10976/3 - 4/3*b**3 - 56*b**2 = 0.
-14
What is v in -16/3*v**4 + 12*v**2 + 0*v + 22/3*v**3 - 2/3*v**5 + 0 = 0?
-9, -1, 0, 2
Let d(r) = 4*r**2 + 462*r + 12 - 3*r**2 - 437*r. Let k be d(-25). Factor 378 - k*b**2 - 366 + 26*b + 2*b**2.
-2*(b - 3)*(5*b + 2)
Find j such that -771/2 + 3/4*j**2 + 765/4*j = 0.
-257, 2
Determine p so that 32856 - 444*p + 3/2*p**2 = 0.
148
Determine l, given that 44*l - 26*l - 17*l + 225 - 2*l**2 + 3*l**2 - 35*l = 0.
9, 25
Let i be (-364)/(-16) + (-1)/(-4). Suppose -6*o + 77 - i = 0. Factor -o*x - x - 35*x**3 - 55*x**2 + 35*x**2 - 25*x**2.
-5*x*(x + 1)*(7*x + 2)
Let z = 41/108 - 169/540. Let w(l) be the third derivative of 0*l**3 + 2/105*l**7 - 1/30*l**6 + 0 + 0*l - 27*l**2 + 1/6*l**4 - z*l**5. Factor w(v).
4*v*(v - 1)**2*(v + 1)
Suppose 3*n = n. Let o = -70095 + 70098. Factor -9/4*f**2 + n*f**o - 3/2*f + 0 + 3/4*f**4.
3*f*(f - 2)*(f + 1)**2/4
Let g(r) = -6*r**3 + 88*r**2 + 270*r + 77. Let o(w) = -24*w**3 + 358*w**2 + 1082*w + 309. Let j(c) = 22*g(c) - 6*o(c). Let j(t) = 0. Calculate t.
-2, -1/3, 20
Let x = -31 - -39. Suppose 5*f = -0*f - x*f. Factor 3/7*t**4 + 0*t**2 + f*t + 3/7*t**3 + 0.
3*t**3*(t + 1)/7
Let a(c) be the second derivative of -c**4/54 - 6784*c**3/27 - 11505664*c**2/9 - 10845*c. Factor a(p).
-2*(p + 3392)**2/9
Let a(z) be the second derivative of 2*z + 0*z**3 + 16 + 0*z**2 - 1/21*z**7 + 1/10*z**5 - 1/15*z**6 + 1/6*z**4. Factor a(d).
-2*d**2*(d - 1)*(d + 1)**2
Let u(i) be the third derivative of -97*i**5/6 + 41*i**4/6 + i**3 - 2*i**2 - 12. Determine j, given that u(j) = 0.
-3/97, 1/5
Let o(j) = -6*j**2 + 770*j + 3726. Let x be o(133). Suppose 1/2*f**x + 5/2*f + 2 = 0. What is f?
-4, -1
Let g be (-1 + 16/15)/((-4671)/(-336312)). Suppose -8/5*p**2 + 32/5 - 44/5*p**3 + 48/5*p - 4/5*p**5 - g*p**4 = 0. Calculate p.
-2, -1, 1
Let y = 5552 - 5548. Let g(