**4 + 4/33*x**3 + 1/165*x**6 + 0. Find o, given that s(o) = 0.
-1, 0, 2
Let u = -78641/102 + 771. Let o(l) be the third derivative of -1/340*l**6 + 1/102*l**4 - 31*l**2 + 0 + u*l**5 + 0*l**3 + 0*l. Solve o(a) = 0 for a.
-1/3, 0, 2
Let w(y) = -3*y + 33. Let p be w(10). Suppose 0 = -3*v + 3*s + 9, 0*v + v = 4*s + p. Solve -11*u**2 + 5*u**5 - 9*u**4 + 9*u**2 + 9*u**v - 3*u**4 = 0.
0, 2/5, 1
Let q be (-1)/81*(-540)/40. Factor 1/6*r**3 + 0 - 1/6*r**4 - q*r**5 + 0*r + 1/6*r**2.
-r**2*(r - 1)*(r + 1)**2/6
Let o be (1 + (-9)/2)/(34/(-68)). Let p be (-36)/(-10)*(-51)/(-238)*o. Factor -12/5*b**3 + p + 3/5*b**4 - 6/5*b**2 + 36/5*b.
3*(b - 3)**2*(b + 1)**2/5
Let a be 35/(-30) - (-40)/24. Let x(b) be the first derivative of -a*b**4 - 14 + 2/3*b - 10/9*b**3 - 1/3*b**2. Factor x(u).
-2*(u + 1)**2*(3*u - 1)/3
Let l(g) = 5*g**3 - 39*g**2 + 118*g - 858. Let f be l(8). Determine u so that -10*u - 1/6*u**2 - f = 0.
-30
Let z = 3/5695 - -5686/17085. Factor -79/6*y - 76/3*y**2 - z - 25/2*y**3.
-(y + 1)**2*(75*y + 2)/6
Suppose 25*j - 616*j - 120*j + 2133 = 0. Suppose 0*z - 12/19*z**4 + 22/19*z**j + 2/19*z**5 + 0 - 12/19*z**2 = 0. What is z?
0, 1, 2, 3
Let x be (7 - (-2 + 2/1)) + -3. Suppose -4 = -3*m - p + 3, m - 11 = x*p. Let -13*i**3 + 12*i**5 - m*i**2 + 5*i**3 - i**3 = 0. Calculate i.
-1/2, 0, 1
Let t be (-170892)/(-69993) - (-8)/(-11). Solve t*l**4 + 0*l + 0 + 4/7*l**5 + 8/7*l**3 + 0*l**2 = 0.
-2, -1, 0
Let q(t) be the first derivative of t**4 + 400*t**3/3 + 5000*t**2 - 1457. Factor q(p).
4*p*(p + 50)**2
Let s(y) = 34*y + 102. Let k be s(-3). Let l be (8 + -5 + -2)*k. What is n in -21/2*n**3 - 27/2*n**5 + 0 + 3/2*n**2 + l*n + 45/2*n**4 = 0?
0, 1/3, 1
Let n = -39119/9 - -12685/3. Let f = 5347/45 + n. Suppose -12 + 0*m**3 - 51/5*m**2 + f*m**4 - 108/5*m = 0. Calculate m.
-2, -1, 5
Let k(l) be the second derivative of -1/2*l**4 + 52*l + 0 + 8*l**3 + 1/90*l**5 - 48*l**2. Find c such that k(c) = 0.
3, 12
What is z in 2*z**5 + 0*z + 106/5*z**2 - 202/5*z**3 + 0 + 86/5*z**4 = 0?
-53/5, 0, 1
Let t be ((-1020)/225)/((-6)/465). Let p = 353 - t. Factor 0 + 3*k - k**2 - 1/3*k**4 - p*k**3.
-k*(k - 1)*(k + 3)**2/3
Let n = 72 + -57. Let m be -18*((-5)/n)/1. Solve 24*o**3 - 10*o**4 - 8 + 5*o**3 - 9*o**3 + m + 2*o**5 + 10*o - 20*o**2 = 0 for o.
1
Suppose -190/9*v - 238/9*v**2 + 0 - 50/9*v**3 - 2/9*v**4 = 0. Calculate v.
-19, -5, -1, 0
Let r(o) be the third derivative of o**8/20160 - o**6/2160 - 59*o**4/24 + 143*o**2. Let k(a) be the second derivative of r(a). Suppose k(g) = 0. What is g?
-1, 0, 1
Suppose 5*w - 654 + 639 = 0. Let k(x) be the third derivative of 0 - 1/4*x**5 + 0*x**3 + 0*x - 5/24*x**4 - w*x**2. Factor k(b).
-5*b*(3*b + 1)
Let b(z) = -2*z - 6. Let q be b(-8). Suppose 0 = 8*w - 3*w - q. Solve 14*k**4 + 10*k**4 - 168*k**w + 92*k - 53*k**4 - 16 + 112*k**3 - 12*k**5 + 21*k**4 = 0.
-4, 1/3, 1
Let w(h) be the second derivative of h**4/18 + 40*h**3/9 + 391*h**2/3 + 64*h + 8. Factor w(p).
2*(p + 17)*(p + 23)/3
Let v(q) = 6*q**2 - 121*q - 101. Let f be v(21). Let h(n) be the second derivative of 0 + 1/18*n**f + 2/9*n**3 - 8/3*n**2 + 7*n. Let h(a) = 0. Calculate a.
-4, 2
Let b = 2523/17 + -11045/153. Factor -4/9 + 1078/9*w**3 + 82/9*w + b*w**4 - 182/3*w**2.
2*(w + 2)*(7*w - 1)**3/9
Suppose -35 + 5 = 5*u. Let c(y) = y**4 - y**2 + 3*y - 3. Let q(h) = 4*h**4 + h**3 - 4*h**2 + 10*h - 11. Let l(d) = u*q(d) + 22*c(d). Factor l(s).
-2*s*(s - 1)*(s + 1)*(s + 3)
Factor 0*u + 344763/4*u**2 + 1017/2*u**3 + 3/4*u**4 + 0.
3*u**2*(u + 339)**2/4
Let g(u) = -5*u**3 + 17*u**2 + 66*u - 212. Let s be g(4). Determine z, given that -s*z**3 + 1/3*z**4 - 2/3*z + 0 + 4/3*z**5 - 11/3*z**2 = 0.
-1, -1/4, 0, 2
Let d(r) be the first derivative of r**6/18 - 386*r**5/5 + 111747*r**4/4 + 556. Factor d(w).
w**3*(w - 579)**2/3
Let j(v) be the second derivative of v**4/6 - 493*v**3/15 - 198*v**2/5 - 111*v + 8. Factor j(r).
2*(r - 99)*(5*r + 2)/5
Let y(d) be the first derivative of 0*d**3 - 21 + 0*d + 0*d**2 - 9/20*d**4 + 1/25*d**5. Solve y(f) = 0 for f.
0, 9
Suppose -147 = -10*q - 117. Let 2*o + 4*o**3 - o**3 + o**q + 1 + o**4 + 6*o**2 + 2*o = 0. What is o?
-1
Let c(l) = -4*l**3 - 284*l**2 + 380*l + 737. Let d(t) = -2*t**3 - 136*t**2 + 190*t + 368. Let a(j) = -4*c(j) + 7*d(j). Factor a(p).
2*(p - 2)*(p + 1)*(p + 93)
Factor 0 + 2/7*q**2 - 100*q.
2*q*(q - 350)/7
Let c(q) be the third derivative of q**6/600 - 7*q**4/120 - q**3/5 + 5*q**2 + 17*q. Solve c(t) = 0.
-2, -1, 3
Let v be 4/((-32)/12)*50/(-3). Suppose -5*p = -3*a - v, 17 = -3*a + 2. Find o such that p*o**2 + 12 - 2*o**2 + o**2 - 4*o**2 = 0.
-2, 2
Let p = 2843897/3 + -947961. Factor 29/6 - 1/6*s**2 + p*s.
-(s - 29)*(s + 1)/6
Let k(b) be the second derivative of b + 23 - 1/36*b**4 + 0*b**2 - b**3. What is i in k(i) = 0?
-18, 0
Let t(i) = -2*i**2 + 3*i - 1. Let x(y) = -122*y**2 + 193*y + 84. Let u(z) = -6*t(z) + x(z). Factor u(o).
-5*(o - 2)*(22*o + 9)
Let w(y) = 4*y**2 + 2*y + 1. Let j(b) = -4*b**3 + 144*b**2 + 750*b + 611. Let u(v) = j(v) - 3*w(v). Let u(d) = 0. What is d?
-4, -1, 38
Let t(w) be the first derivative of w**6/18 + 2*w**5/5 - 61*w**4/12 - 178*w**3/3 - 186*w**2 - 216*w - 601. Find n, given that t(n) = 0.
-6, -2, -1, 9
Let d = 3013/4788 - 80/133. Let t(b) be the second derivative of 3*b**2 - 7/6*b**3 - d*b**4 + 0 + 1/12*b**5 - 1/90*b**6 - 6*b. Factor t(l).
-(l - 3)**2*(l - 1)*(l + 2)/3
Determine s, given that -26/3*s**3 - 1280/3 + 4*s**2 + 2/3*s**4 + 704/3*s = 0.
-5, 2, 8
Let x(q) be the third derivative of q**7/1365 - 16*q**6/195 + 21*q**5/130 - 236*q**2 + 3. Factor x(h).
2*h**2*(h - 63)*(h - 1)/13
What is k in 32*k**2 - 9*k**3 - 248*k**2 + 21*k**3 - 7*k**3 + 1185*k - 1710 - 4*k**2 = 0?
3, 38
Let d(y) be the second derivative of y**6/270 + 2*y**5/15 - 25*y**4/108 - 1951*y. Determine l, given that d(l) = 0.
-25, 0, 1
Let p be (-6223)/539 + (-21)/(-3). Let v = p - -133/22. Let 2*w**2 - v - 11/2*w = 0. What is w?
-1/4, 3
Let g = -1/707 - 34637/4242. Let c = g - -107/12. Let -3 - 3/4*b**2 - 6*b + 15/4*b**3 + 3/4*b**4 - c*b**5 = 0. What is b?
-1, 2
Let t(k) be the third derivative of k**7/1260 + k**6/54 + 11*k**5/60 + k**4 + 55*k**3/6 + 2*k**2 + 10*k. Let c(f) be the first derivative of t(f). Factor c(n).
2*(n + 3)**2*(n + 4)/3
Let w(d) = 40*d - 160. Suppose -3*p - 4 = -4*v, -3*v + 76*p - 78*p = -20. Let x be w(v). Suppose x - 27/2*c**3 + 3*c**2 + 21/2*c**4 + 0*c = 0. Calculate c.
0, 2/7, 1
Suppose -84*n + 254 - 32 = 27*n. Find y such that -n*y + 2/3*y**3 + 12 - 8/3*y**2 = 0.
-2, 3
Let a(r) be the first derivative of r**5/20 - r**4 + 21*r**3/4 - 23*r**2/2 + 11*r - 13282. Factor a(u).
(u - 11)*(u - 2)**2*(u - 1)/4
Let j(x) = x**4 - 56*x**3 + 520*x**2 - 1254*x + 765. Let v(i) = -10*i**4 + 615*i**3 - 5720*i**2 + 13790*i - 8415. Let t(b) = 65*j(b) + 6*v(b). Factor t(q).
5*(q - 3)**2*(q - 1)*(q + 17)
Let m(r) = r**2 + r. Suppose -32 + 7 = -s. Let f(t) = -10 - s*t**2 - 4*t - 7*t**3 - 26*t + 2*t**3. Let o(k) = f(k) + 5*m(k). Suppose o(h) = 0. What is h?
-2, -1
Let j(n) be the second derivative of -3*n**5/160 - 1107*n**4/32 - 306915*n**3/16 - 917427*n**2/16 - 10*n + 89. Factor j(a).
-3*(a + 1)*(a + 553)**2/8
Let c(s) = -5*s**3 - 57*s**2 + 5054*s + 3. Let p be c(-38). What is y in 3/2*y - 5/2*y**2 - 3/2*y**p + 2 + 1/2*y**4 = 0?
-1, 1, 4
Let w be -60*(4815/2250)/(-107). Factor -9/5*n**3 + 0*n**2 + 0 - w*n**4 + 3/5*n**5 + 0*n.
3*n**3*(n - 3)*(n + 1)/5
Let i(c) = -c**2 - 27*c - 45. Let h(l) = -3*l**2 - 77*l - 138. Let x(v) = 3*h(v) - 8*i(v). Determine s, given that x(s) = 0.
-9, -6
Let m(v) be the first derivative of -3*v**4/4 - 14*v**3/3 + 16*v**2 + 160*v - 901. Let m(r) = 0. What is r?
-4, 10/3
Let f(c) be the third derivative of 1/3*c**3 + 7/120*c**6 + 0*c + 7*c**2 + 1/8*c**4 - 13 - 1/5*c**5. Solve f(h) = 0 for h.
-2/7, 1
Let p(b) = b + 10. Let u be p(-6). Suppose -2*c + 4*c = u. Determine h so that 5*h**2 - 5*h**2 - 2*h**2 + 20*h - 2*h**c - 24 = 0.
2, 3
Factor 20*k**2 - 3290*k - 2*k**3 - 5215 - 172*k**2 + 1164 - 1423 - 9226.
-2*(k + 6)*(k + 35)**2
Suppose 37*j = 216 - 89 + 21. Factor 0*a - 2*a**2 + 0 + 8/3*a**3 - 2/3*a**j.
-2*a**2*(a - 3)*(a - 1)/3
Let y(a) = -2*a**4 + 176*a**3 + 364*a**2 + 216*a. Let c(g) = 8*g**4 - 704*g**3 - 1455*g**2 - 858*g. Let h(f) = 6*c(f) + 23*y(f). Factor h(k).
2*k*(k - 90)*(k + 1)**2
Let d(n) be the first derivative of 4*n*