**3 - 1/4*b**4 - 1/2*b**5 = 0 for b.
-2, 1/2, 1, 2
Let q(b) be the third derivative of b**5/540 + 2*b**4/27 + 10*b**3/9 - b**2 - 257*b. Find x, given that q(x) = 0.
-10, -6
Let l(y) = y**3 - 45*y**2 + 492*y - 103. Let w be l(18). Find g such that -1/7*g**3 + 6/7*g**4 - 16/7*g + 0 - 1/7*g**w - 24/7*g**2 = 0.
-1, 0, 4
Let u(h) be the second derivative of h**7/189 + 11*h**6/135 - h**5/5 - 10*h**4 - 56*h**3 + 32*h - 1. Factor u(l).
2*l*(l - 7)*(l + 6)**3/9
Let m(v) = v**3 - 9*v**2 + 14*v + 4. Let b be m(7). Find c, given that 22*c**2 + 24*c**2 + b*c - 42*c**2 = 0.
-1, 0
Let r(k) = -25*k**3 + 144*k**2 + 135*k - 1251. Let l(p) = 6*p**3 - 36*p**2 - 34*p + 314. Let j(s) = 9*l(s) + 2*r(s). Suppose j(o) = 0. Calculate o.
-3, 3, 9
Let m = -43 + 45. Factor 18 + 15 + 2*v**m - 23 + 0*v**2 + 12*v.
2*(v + 1)*(v + 5)
Determine v, given that -8632 - 8964 - 2*v**2 + 165*v + 18046 - 2*v**3 - 35*v = 0.
-5, 9
Factor 536/7*i**2 + 0 - 36*i**3 + 34/7*i**4 - 368/7*i + 2/7*i**5.
2*i*(i - 2)**3*(i + 23)/7
Let r = 248/63 + -20/9. Let y = 3770269/7 - 538609. Factor y*u**2 - r*u + 0.
6*u*(u - 2)/7
Factor 13*p**2 - 106580 - 4*p**2 + 168*p + 1292*p - 14*p**2.
-5*(p - 146)**2
Let j = -33192 + 365127/11. Let f(h) be the first derivative of j*h**2 - 14/33*h**3 + 15 - 18/11*h + 1/22*h**4. Suppose f(t) = 0. Calculate t.
1, 3
Let x(d) be the first derivative of -d**3/3 + 18*d**2 - 275*d - 6082. Determine y, given that x(y) = 0.
11, 25
Solve -112/15*f**3 + 8/3*f**4 - 626/15*f - 44/3 + 2/15*f**5 - 556/15*f**2 = 0.
-22, -1, 5
Let m(s) = 6*s + 100. Let o = 352 - 368. Let u be m(o). Factor 0 + 0*w**3 + 0*w + 1/3*w**2 - 1/3*w**u.
-w**2*(w - 1)*(w + 1)/3
Let w(d) be the first derivative of 4*d**5/5 - 37*d**4 - 844*d**3/3 + 74*d**2 + 840*d - 1090. Find h such that w(h) = 0.
-5, -1, 1, 42
Suppose 92 = 3*x + 5*z, 4*z - 41 - 50 = -3*x. Find q, given that -59*q - 48*q - 3*q**2 + x*q + 62 + 19 = 0.
-27, 1
Let y(s) be the first derivative of -3/20*s**5 - 5 + 0*s**2 + 2*s - 1/2*s**4 + 0*s**3. Let c(a) be the first derivative of y(a). Factor c(m).
-3*m**2*(m + 2)
Let t be 16/(-9) - 314/(-126). Find o, given that 3/7 - t*o**5 - 13/7*o + 11/7*o**4 - 2*o**2 + 18/7*o**3 = 0.
-1, 1/5, 1, 3
Determine y so that -23814/5*y + 6765*y**3 + 0 + 9/5*y**5 + 1119/5*y**4 - 60291/5*y**2 = 0.
-63, -1/3, 0, 2
Let l = 656999/11 + -59727. Factor -4/11 - 8/11*w**2 - l*w**3 - 10/11*w.
-2*(w + 1)**2*(w + 2)/11
Let n be (-48 - (24 + -76))*(-4)/((-40)/3). Solve 0 + 6/5*r**4 - 2*r**3 + 2/5*r**5 + 8/5*r - n*r**2 = 0.
-4, -1, 0, 1
Let l(y) be the first derivative of 1/4*y**5 + 15/2*y**4 + 60*y**3 + 110 + 0*y + 0*y**2. Factor l(h).
5*h**2*(h + 12)**2/4
Let s = -659 + 661. Suppose -18 - s = -5*h. Let -4/3*d**3 - 4*d + 4/3 + h*d**2 = 0. Calculate d.
1
Determine f so that -28/3*f**2 + 0 - 1/3*f**3 - 52/3*f = 0.
-26, -2, 0
Let f(y) be the third derivative of -2*y**2 - 1/7*y**3 + 0*y - 1/840*y**6 + 60 - 11/168*y**4 - 1/70*y**5. Find z, given that f(z) = 0.
-3, -2, -1
Suppose p - 3*s + 12 = 0, -13 = -p - 2*s - 5. Let -g**4 + 42*g**2 - 39*g**3 + 3*g**4 - 9*g**4 + 4*g**4 + p*g**4 = 0. What is g?
-14, 0, 1
Let c(u) be the second derivative of -2*u**6/15 - 11*u**5/5 + 65*u**4/3 + 50*u**3 + 301*u - 11. Factor c(x).
-4*x*(x - 5)*(x + 1)*(x + 15)
Let o be -1 + (-2)/((-4)/602). Suppose -11*m - 234 = -o. Solve -m*j - 15/2 + 3/2*j**2 = 0 for j.
-1, 5
Suppose 4*n + 14 = -2*p + 44, 3*p = 3*n + 9. Factor -5*s**5 - 3*s**3 + 0*s + 2*s + 33*s**3 + p*s + 6*s - 40*s**2.
-5*s*(s - 1)**3*(s + 3)
Suppose q + 130 = 39. Let w = q + 139. Solve -12*t**2 - 10*t - 51*t**3 + t + w*t**3 = 0.
-3, -1, 0
Let i(c) be the third derivative of 0*c - 1/960*c**5 + 0*c**4 + 14*c**2 - 1/2880*c**6 + 17/6*c**3 + 0. Let x(k) be the first derivative of i(k). Factor x(n).
-n*(n + 1)/8
Let l be (56/(-84))/(1/(-6)). Let a(m) be the first derivative of -2*m**2 + m**l + 4/5*m**5 - 17 + 0*m - 4/3*m**3. Factor a(k).
4*k*(k - 1)*(k + 1)**2
Let s(c) = -7*c**2 + 115*c + 418. Let x(b) = -33*b**2 + 459*b + 1671. Let k(g) = -9*s(g) + 2*x(g). Factor k(a).
-3*(a + 4)*(a + 35)
Solve -14*l + 1/2*l**3 - 2*l**2 - 16 = 0 for l.
-2, 8
Let -260*f + 5*f**4 - 170*f - 3847*f**3 + 3647*f**3 - 635*f**2 = 0. Calculate f.
-2, -1, 0, 43
Let i(c) be the third derivative of -c**5/210 + 72*c**4/7 - 62208*c**3/7 - c**2 + 2*c - 456. Find r such that i(r) = 0.
432
Let j(z) be the first derivative of z**9/12096 + z**8/3360 - z**7/840 - z**6/180 + 17*z**3/3 - 15. Let m(k) be the third derivative of j(k). Factor m(u).
u**2*(u - 2)*(u + 2)**2/4
Let o be (-580)/28 + (-2)/7. Let t = o - -43. Find z, given that -2*z**5 - 5*z**3 + 4*z + t*z**3 - 5*z**3 - 6*z**3 - 10*z**2 + 2*z**4 = 0.
-2, 0, 1
Let b(u) = 2*u - 1. Let m(g) = -g**2 - 4. Let y(k) = -k**2 + 30*k - 47. Let z(r) = 6*m(r) - 2*y(r). Let s(q) = -6*b(q) + z(q). Solve s(j) = 0 for j.
-19, 1
Suppose 3 = 3*w + 21. Let i be (-2 + 3/w*-4)/3. Factor -2/9*x + 2/9*x**2 + i.
2*x*(x - 1)/9
Let p(a) = -a**3 - 2*a. Let i be p(-1). Let 87*w - 172*w**2 + 480*w**i - 100*w**4 + 856*w**2 + 129*w = 0. Calculate w.
-3/5, 0, 6
Let n = -331 - -660. Let q = n - 326. Suppose 3*f**3 - q*f + 3/2*f**2 - 3/2 = 0. What is f?
-1, -1/2, 1
Let y(a) be the first derivative of -1/3*a**6 - 2/9*a**3 + 0*a + 0*a**2 + 2/3*a**5 + 7 - 1/6*a**4. Factor y(q).
-2*q**2*(q - 1)**2*(3*q + 1)/3
Suppose -5*f + 1273 = z + z, -4*z = 2*f - 506. Suppose -4*g - 2*n + f = 13, 5*g - 4*n = 283. Let -29 + 6*h**2 + 4*h - 30 - 2*h**4 + g = 0. Calculate h.
-1, 0, 2
Let q be ((-24)/(-30))/((-98)/(-245)). Solve 0*k**q - 8/9*k + 0 + 2/9*k**3 = 0.
-2, 0, 2
Suppose 2/7*k**3 + 24/7*k**2 - 1600/7 - 120/7*k = 0. Calculate k.
-10, 8
Let o = 28709 - 28706. Find u such that -u**o + 0 + 0*u + 1/2*u**4 + 1/2*u**5 + 0*u**2 = 0.
-2, 0, 1
Suppose -4*a = -143 - 1. Let n(y) = 2*y**2 - 2*y - 1. Let b(s) = -34*s**2 + 50*s + 38. Let q(k) = a*n(k) + 2*b(k). Determine p, given that q(p) = 0.
-5, -2
Factor -1273*s**2 - s**3 - 420*s + 0*s**3 + 604*s + 1363*s**2.
-s*(s - 92)*(s + 2)
Let z = 315/8 + -39. Let r = 26719/214520 - -12/26815. Determine x, given that z*x + 1/4 + r*x**2 = 0.
-2, -1
Let b = -413 + 409. Let u(w) = 18*w**2 + 22*w - 7. Let k(v) = -10*v**2 - 10*v + 4. Let o(d) = b*u(d) - 7*k(d). Solve o(a) = 0 for a.
-9, 0
Let k(r) be the third derivative of -1/20*r**5 + 70*r**2 - 17/56*r**4 + 1/280*r**6 - 9/14*r**3 + 0*r + 0. Suppose k(w) = 0. Calculate w.
-1, 9
Let z(k) be the first derivative of -4*k**3/15 - 16*k**2/5 - 1133. Factor z(t).
-4*t*(t + 8)/5
Let v(a) be the third derivative of -a**6/150 + 4*a**5/25 + 2*a**4/15 - 32*a**3 + a**2 + 402. Suppose v(q) = 0. What is q?
-4, 6, 10
Suppose -35919*m + 35884*m + 105 = 0. Factor -96/5*a - 6*a**m + 3/5*a**4 + 36/5 + 87/5*a**2.
3*(a - 6)*(a - 2)*(a - 1)**2/5
Let 2 + 37/3*b**2 - 113/3*b = 0. What is b?
2/37, 3
Let v(n) be the first derivative of -5*n**3/3 + 155*n**2 - 1160*n - 1149. What is m in v(m) = 0?
4, 58
Let g = -18127/5 - -18129/5. Factor 8 + 24/5*i + g*i**2.
2*(i + 2)*(i + 10)/5
Let t(o) be the second derivative of 5*o**4/12 - 55*o**3/6 - 1680*o**2 - 4624*o. What is a in t(a) = 0?
-21, 32
Let u(k) = -236*k**2 + 4224*k - 15412. Let n(x) = -23*x**2 + 384*x - 1401. Let q(i) = -32*n(i) + 3*u(i). Factor q(b).
4*(b - 3)*(7*b + 117)
Let l(d) be the second derivative of 0*d**2 + 5/12*d**4 + 5/3*d**3 - 28*d + 0. Determine h, given that l(h) = 0.
-2, 0
Suppose 9*g + 364 = 391. Let i(q) be the third derivative of -18*q**2 - 8/3*q**g + q**4 + 0*q + 0 + 1/12*q**6 + 3/5*q**5. Factor i(u).
2*(u + 2)**2*(5*u - 2)
Let g(u) be the second derivative of -170/3*u**3 + 1445/12*u**4 + 0 + 10*u**2 - 72*u. Solve g(y) = 0 for y.
2/17
Let o(g) be the first derivative of g**4/10 + 6*g**3/5 - 34*g**2/5 + 48*g/5 + 2871. Factor o(w).
2*(w - 2)*(w - 1)*(w + 12)/5
Let x(n) be the second derivative of -n**6/60 + 9*n**5/20 + n**4/24 - 3*n**3/2 + 3*n + 525. Factor x(r).
-r*(r - 18)*(r - 1)*(r + 1)/2
Let a be 4 - 4 - 0 - -727. Let r = 727 - a. Solve -8/3 - 2/3*l**3 + r*l + 14/3*l**2 + 2/3*l**5 - 2*l**4 = 0 for l.
-1, 1, 2
Let h(g) = 11*g**3 + 257*g**2 + 869*g + 560. Let k(y) = 7*y**3 + 129*y**2 + 438*y + 280. Let m(w) = 4*h(w) - 7*k(w). Solve m(n) = 0 for n.
-2, -1, 28
Let s(n) = 455*n**2 + 320*n - 45. Let j(d) = 455*d**2 + 313*d - 48. Let p(l) = -5*j(l) + 6*s(l). Solve p(t) = 0.
-6/7, 1/13
Let u = 5716 - 5713. Let