. Suppose 0 = -33*w + y*w + 16. Factor 3/8*h**3 + 0*h**w + 0 - 3/2*h.
3*h*(h - 2)*(h + 2)/8
Let z be (434/(-14) - -35) + 0. Factor 2/3*b**5 + 0*b + 0*b**3 + 4/3*b**z + 0*b**2 + 0.
2*b**4*(b + 2)/3
Let c(o) be the third derivative of -o**6/540 + 53*o**5/270 - 164*o**4/27 + 2368*o**3/27 - 1796*o**2 + o. Solve c(h) = 0.
8, 37
Find b, given that 8/11*b**3 - 136/11*b + 0 - 542/11*b**2 = 0.
-1/4, 0, 68
Factor 225/4 - 1/4*n**2 - 4*n.
-(n - 9)*(n + 25)/4
Let g(o) = o**3 - 67*o**2 - 4*o + 103. Let b(v) = -9*v**3 + 535*v**2 + 34*v - 835. Let a(p) = 6*b(p) + 50*g(p). Find w such that a(w) = 0.
-35, -1, 1
Let z be (37/18 - (26 - 798/28)) + -3. Solve -16/9 - z*a**2 + 28/9*a + 2/9*a**3 = 0.
1, 2, 4
Find o such that 0 + 1/4*o**4 - 3/2*o**2 - 2*o + 3/4*o**3 = 0.
-4, -1, 0, 2
Let h = -444974/15 + 29665. Let z(k) be the first derivative of 0*k**2 + 0*k + 5 + 0*k**4 - 1/9*k**3 + h*k**5. Find q such that z(q) = 0.
-1, 0, 1
Let c(j) be the third derivative of j**5/180 + 29*j**4/36 + 55*j**3/6 + 3004*j**2. Suppose c(o) = 0. What is o?
-55, -3
Let x(s) be the third derivative of -1/84*s**4 + 3*s**2 + 0*s**3 + 16*s - 1/70*s**5 + 0. Determine y, given that x(y) = 0.
-1/3, 0
Let f(c) be the first derivative of 845/12*c**3 + 83*c**2 + 25/16*c**4 + 33*c - 127. Factor f(p).
(p + 33)*(5*p + 2)**2/4
Suppose 60*w = 54*w - 342. Let g = 59 + w. Solve -2/3*o**g + 0*o + 2/3*o**4 - 2/3*o**5 + 0 + 2/3*o**3 = 0.
-1, 0, 1
Let z(o) be the second derivative of o**7/14 - 9*o**6 + 5799*o**5/20 + 1035*o**4 + 1058*o**3 + 10045*o. Solve z(i) = 0.
-1, 0, 46
Let f = -11/10 - -63/55. Let g(o) be the first derivative of 10 + 0*o + 0*o**2 - 6/55*o**5 + 0*o**3 - f*o**4. Factor g(d).
-2*d**3*(3*d + 1)/11
Let u(o) = -16*o**4 + 19*o**3 + 4*o**2 - 7*o + 3. Let b(c) = 33*c**4 - 38*c**3 - 9*c**2 + 14*c - 7. Let g(j) = -3*b(j) - 7*u(j). Factor g(q).
q*(q - 1)**2*(13*q + 7)
Let c(f) be the first derivative of -203 + 14/25*f**5 - 8/15*f**3 + 0*f + 0*f**2 - 6/5*f**4. Factor c(o).
2*o**2*(o - 2)*(7*o + 2)/5
Let 3/7*x**4 - 807/7*x**2 + 0*x + 804/7*x**3 + 0 = 0. Calculate x.
-269, 0, 1
Suppose 1760 - 1916 = -4*j. Suppose -18*k = -j*k + 84. Factor 25/2*d**3 + 0 + 15/2*d**k + 0*d + 5*d**2.
5*d**2*(d + 1)*(3*d + 2)/2
Let g(u) be the second derivative of u**7/420 - 28*u**6/75 - u**5/25 + 112*u**4/15 + 4*u**3/15 - 448*u**2/5 - 2015*u. Find w such that g(w) = 0.
-2, 2, 112
Let p(t) = -190*t**3 - 11*t**2 + t - 2. Let v be p(2). Let d = 1566 + v. Factor 56/3*u**d + 0 - 25/3*u**4 - 55/3*u**3 - 4*u.
-u*(u + 3)*(5*u - 2)**2/3
Let y(g) = 11*g**3 + 3*g - 2. Let b be y(1). Factor 185*c**3 + b*c**4 + 9*c**4 + 7*c**4 + 8*c**4 - 31*c**4.
5*c**3*(c + 37)
Let o(j) be the third derivative of -j**8/3024 + 19*j**7/378 - 28*j**6/9 + 96*j**5 - 1280*j**4 - 6144*j**3 - 139*j**2. Factor o(k).
-(k - 24)**4*(k + 1)/9
Suppose 0 = -277*a + 493 + 351 + 264. What is z in 2/3*z**5 + 14/3*z**2 + 0 - 14/3*z**a + 16/3*z - 6*z**3 = 0?
-1, 0, 1, 8
Suppose 3*d = -4*u, -9*d + 2 = -2*u - 11*d. Solve -10*y**2 + 9*y**3 + 0*y**5 + 10*y**4 - 5*y**5 - 3*y + 11*y**u + 0*y**2 - 12*y = 0 for y.
-1, 0, 1, 3
Let y(m) = -8*m**3 + 2*m + 1. Let z(v) = 25*v**3 - 139*v**2 + 4893*v - 4764. Let h(x) = -3*y(x) - z(x). Factor h(j).
-(j - 69)**2*(j - 1)
Let b(i) be the second derivative of 19/15*i**5 - 32/9*i**4 - 7/45*i**6 - 3*i**2 - 6*i + 1 + 14/3*i**3. Find r, given that b(r) = 0.
3/7, 1, 3
Let l(z) = 12*z**3 + 54*z**2 + 354*z + 453. Let v(w) = 17*w**3 + 52*w**2 + 353*w + 454. Let g(t) = -4*l(t) + 3*v(t). Solve g(i) = 0.
-3, -2, 25
Suppose 0 = 4*i + 2*d + 1518, -8*i - 1503 = -4*i - d. Let j be ((-2)/6)/(7 + i/52). Determine u so that 4/3*u**3 - 7/3*u - 2/3 - j*u**2 = 0.
-1/2, 2
Let o(v) = v**3 - 3*v**2 - 8*v - 11. Let b be o(5). Let h be b/(2*(-2)/8). Factor -2*z**3 + z**3 - 5*z**2 + 14*z**h + 27 - 29*z + 2*z.
-(z - 3)**3
Let v be ((-2)/36)/(508/(-381)). Let g(r) be the third derivative of v*r**3 + 0 + 0*r - 1/48*r**4 + 17*r**2 + 1/240*r**5. Factor g(w).
(w - 1)**2/4
Factor 312*t**2 + 8903276 - 308*t**2 - 8185*t + 16417748 - 11943*t.
4*(t - 2516)**2
Let z(v) = -7*v**4 - 57*v**3 - 173*v**2 + 597*v + 11. Let l(m) = -8*m**4 - 56*m**3 - 172*m**2 + 596*m + 12. Let c(q) = -11*l(q) + 12*z(q). Factor c(r).
4*r*(r - 19)*(r - 2)*(r + 4)
Find x, given that 0 - 27/5*x**3 + 4/5*x + 12/5*x**2 = 0.
-2/9, 0, 2/3
Factor -118095 + 3*l**3 + l**3 + 1864*l**2 + 101265*l - 42048*l + 159791*l + 548687.
4*(l + 2)*(l + 232)**2
Let p be (((-1 - -3)/6)/2)/(63/(5670/60)). Solve -3/2*r + 7/4*r**2 + 0*r**3 - p*r**4 + 0 = 0.
-3, 0, 1, 2
Suppose 0 = 69*y - 45*y + 24528. Let j = 3070/3 + y. Let -4/3*f**2 - j - 8/3*f**3 - 2/3*f**5 + 10/3*f + 8/3*f**4 = 0. Calculate f.
-1, 1, 2
Suppose -2*q + 9827 - 981 = r, q = 4*r + 4414. Let b be -2*(-1)/(-3)*q/(-44). Factor -15*h**2 + 2*h**2 - 5 - 2*h**2 + 72*h**3 + 15*h - b*h**3.
5*(h - 1)**3
Suppose -10 = -10*a + 10. Suppose -3*g + 4 + a = 0, 5*d + g = 62. Solve 4*q + d*q**2 - 9*q**3 + 281 - 281 - 7*q**4 = 0 for q.
-2, -2/7, 0, 1
Let y(k) be the third derivative of 13*k - 8/9*k**3 - 1/72*k**4 + 4/45*k**5 - k**2 + 0 + 1/360*k**6. Factor y(j).
(j - 1)*(j + 1)*(j + 16)/3
Let u(z) be the first derivative of 2/9*z**3 + 21 + 1/18*z**4 - z**2 + 24*z. Let q(r) be the first derivative of u(r). Solve q(s) = 0 for s.
-3, 1
Let u(j) be the second derivative of j**6/180 + 3*j**5/20 - 5*j**4/6 + 4*j**3/3 + 305*j. Let t(y) be the second derivative of u(y). Suppose t(d) = 0. What is d?
-10, 1
Let t = -91120 - -91123. Let l = -130 - -652/5. Determine c, given that -6/5*c**2 + 6/5*c**4 + 0 + l*c**t - 2/5*c = 0.
-1, -1/3, 0, 1
Let x = 6 - 4. Let t be 490/165 + (-198)/121. Suppose 0 + 10/9*v**x + 2/9*v**3 - t*v = 0. Calculate v.
-6, 0, 1
Let z(f) = -4*f**2 + 2*f + 13. Let g be z(-10). Let v be 3 + (g/165 - (-2)/(-10)). Factor -v*o**2 - 1/3*o + 1/3*o**3 + 1/3.
(o - 1)**2*(o + 1)/3
Let h(z) be the first derivative of -121*z**4/12 + 80*z**3/3 + 2*z**2/3 + 4260. Factor h(d).
-d*(d - 2)*(121*d + 2)/3
Let c(h) be the third derivative of -2*h**7/63 - 13*h**6/72 + 481*h**5/36 - 1735*h**4/72 - 65*h**3/2 - 3*h**2 + h - 32. Let c(x) = 0. What is x?
-13, -1/4, 1, 9
Let i(o) = 3*o**2 + 24*o - 8. Let w(b) = 4*b**2 + 23*b - 4. Let m(x) = 3*i(x) - 4*w(x). Let a be m(-2). Factor -3/5*n**3 + 3/5*n**a - 9/5*n**2 - 6/5 + 3*n.
3*(n - 1)**3*(n + 2)/5
Let r(k) = -5*k**2 + 19*k + 6. Suppose 23*w + 27 - 4 = 0. Let q(v) = v**2. Let z(i) = w*r(i) + 2*q(i). Let z(b) = 0. What is b?
-2/7, 3
Let n(j) be the second derivative of 20*j**2 - 3 + 1/20*j**5 - 3*j + 7/6*j**4 + 22/3*j**3. What is l in n(l) = 0?
-10, -2
Let s(x) be the second derivative of -1225/11*x**2 + 12 - 1/66*x**4 + 70/33*x**3 + 5*x. Factor s(v).
-2*(v - 35)**2/11
Let q(s) be the second derivative of s**5/5 + s**4 - 22*s**3 - 70*s**2 - 3298*s. Factor q(g).
4*(g - 5)*(g + 1)*(g + 7)
Let u(j) be the first derivative of 3*j**4/8 + 14*j**3 - 1065*j**2/4 + 1425*j + 649. Factor u(w).
3*(w - 5)**2*(w + 38)/2
Let b(m) be the second derivative of -m**5/20 + m**4/4 + 2*m**3/3 - 5*m**2 + 17*m + 10. Let u be b(3). Factor -8*w**2 - 17/2*w**3 - 5/2*w**4 - u*w + 0.
-w*(w + 1)*(w + 2)*(5*w + 2)/2
Let q(w) be the second derivative of 13*w**4/42 + 10*w**3/21 - 23*w**2/7 + 1554*w + 2. Solve q(k) = 0.
-23/13, 1
Find h, given that -57*h**4 - 4572902 + 8*h**4 + 354*h**2 + 6*h**4 - 12*h**5 - 32*h**4 + 36*h + 39*h**3 + 4572686 = 0.
-6, -2, -1, 3/4, 2
Let i(a) be the second derivative of a**7/42 - 8*a**6/15 - 157*a**5/10 - 175*a**4/3 + 2401*a**3/6 - 686*a**2 - 973*a - 1. Suppose i(g) = 0. Calculate g.
-7, 1, 28
Let f(s) be the first derivative of -s**5/10 - 9*s**4 - 324*s**3 - 5832*s**2 + 77*s + 67. Let a(r) be the first derivative of f(r). Factor a(q).
-2*(q + 18)**3
Suppose 0 = 3*q + 12*q - 30. Factor 32*z - 14*z**2 - 13*z**2 + 60 - 16*z**2 + 47*z**q.
4*(z + 3)*(z + 5)
Let c(y) be the second derivative of y**4/4 - 41*y**3/2 + 2457*y. Factor c(s).
3*s*(s - 41)
Let w be 548/685 - 2954/2480. Let u = -1/62 - w. Factor 3/8*b**2 - u*b - 9/4.
3*(b - 3)*(b + 2)/8
Let z(l) = -l**2 + 58*l - 536. Let j(t) = t**2 - 59*t + 532. Let n(k) = -10*j(k) - 11*z(k). Factor n(m).
(m - 24)**2
Let z be (-3 - 0) + (1 + 0)*6. Let 12*r**3 - 175*r**2 - 11*r**z - 6*r**3 + 1620 - 1440*r = 0. What is r?
-18, 1
Suppose 50*b + 5130 = -19070. Let q = b + 1937/4. Factor q*a**2 - 5/2*a + 25/4.
(a - 