ose -164*n + 800*n - 2926 = -658*n - 169*n. Factor 8/7*d + 0 + 6/7*d**3 - 26/7*d**n.
2*d*(d - 4)*(3*d - 1)/7
Factor -284/7*v**2 - 40 + 562/7*v + 2/7*v**3.
2*(v - 140)*(v - 1)**2/7
Suppose 3*l = -76 - 14. Let g be 100/l*3/(-2). Solve -j**4 - 4*j**3 + 0 + 4 + 4*j + g*j**2 - 8*j**2 = 0.
-2, -1, 1
Find g such that 1024/5 - 2/5*g**2 + 248/5*g = 0.
-4, 128
Let p(d) be the first derivative of 2/21*d**3 + 19/7*d**2 + 96/7*d - 27. Factor p(c).
2*(c + 3)*(c + 16)/7
Let p(m) = -9*m**5 - 24*m**4 + 30*m**3 + 39*m**2 - 3*m + 3. Let q(z) = 7*z**5 + 22*z**4 - 29*z**3 - 40*z**2 + 2*z - 2. Let r(s) = 2*p(s) + 3*q(s). Factor r(d).
3*d**2*(d - 2)*(d + 1)*(d + 7)
Let x(q) be the first derivative of 0*q - 16*q**3 - 42*q**2 + 206 + 3/5*q**5 + 39/4*q**4. Factor x(l).
3*l*(l - 2)*(l + 1)*(l + 14)
Suppose 0 = 4*u + 24, 3*u + 66 - 56 = -4*l. Factor -24/25*m**l - 16/25*m + 0 - 12/25*m**3 - 2/25*m**4.
-2*m*(m + 2)**3/25
Let k(z) be the second derivative of -6 + 40/33*z**3 - 1/55*z**5 + 2/11*z**4 - 1/165*z**6 + 32/11*z**2 - z. Let k(d) = 0. Calculate d.
-2, 4
Let k(p) be the third derivative of 0*p + 1/30*p**6 + 0 - 4/15*p**5 - 7/6*p**4 + 20/3*p**3 - 8*p**2. Factor k(b).
4*(b - 5)*(b - 1)*(b + 2)
Suppose -12*y = -y - 55. Suppose 8 = y*g - 12. Determine p so that 20 + 16*p**4 + 173*p**2 + 0*p**4 - 8*p**2 + g*p**4 - 100*p**3 - 100*p = 0.
1/2, 2
Suppose -438 - 651 = -11*l. Suppose 110*f = l*f. What is d in 4/5 - 2/5*d**3 + f*d**2 + 6/5*d = 0?
-1, 2
What is w in -11/2*w**2 - 13/2*w**4 + 12 - 79*w + 79*w**3 = 0?
-1, 2/13, 1, 12
Let x(n) be the second derivative of n**6/50 - 3*n**5/5 + 51*n**4/10 - 74*n**3/5 + 39*n**2/2 + n + 607. Suppose x(z) = 0. What is z?
1, 5, 13
Let u = 805099 - 805097. Solve 0*m**u - 14*m**4 + 0*m + 0 + 5/4*m**3 + 11/4*m**5 = 0.
0, 1/11, 5
Let u(v) = -8*v - 54. Let b be u(-7). Let d = -5 - -7. Factor -7*p - 85 + 91 + 3*p**b - d*p.
3*(p - 2)*(p - 1)
Factor 3/8*x**4 - 57*x**3 + 2808*x**2 - 40560*x - 210912.
3*(x - 52)**3*(x + 4)/8
Let l(u) = 4*u**2 - 11*u - 30. Let p be l(-2). Suppose 0 = 5*n - 15, 0 = -2*q - 5*n + 7 + p. Factor 1/4*k**3 + q*k - 1 + 3/4*k**2.
(k - 1)*(k + 2)**2/4
Let u(v) be the third derivative of v**5/90 + 71*v**4/36 - 146*v**3/9 + 2*v**2 + 51*v - 9. Suppose u(d) = 0. Calculate d.
-73, 2
Let u(n) be the second derivative of -243675*n**4/4 - 1140*n**3 - 8*n**2 - 5629*n. Factor u(z).
-(855*z + 4)**2
Suppose -42 = -11*d + 24. Let i be (-2 + 2 + -2)*d/(-4). Suppose 38*k**3 - 69*k**3 + 8*k + 5*k**2 + 33*k**i + 5*k**2 = 0. What is k?
-4, -1, 0
Let l(i) = -614*i**2 - 18*i + 22. Let c(g) = -13*g**2 - g + 1. Let d(m) = -22*c(m) + l(m). Determine j, given that d(j) = 0.
0, 1/82
Let u(l) = 2*l**2 - 3. Let r be u(-2). Suppose -5*z = 3*j - 9, -2*z + r*z = 0. Suppose -34*d**j + 32*d**3 - d + d**5 + 2*d = 0. Calculate d.
-1, 0, 1
Let o be (-240)/21*(-140)/40. Let i be 13 - 8/(o/55). Factor -2/9*f**3 + 2 - 10/9*f**i - 2/3*f.
-2*(f - 1)*(f + 3)**2/9
Let q(v) = -13*v**3 + 67*v**2 + 126*v - 155. Let k(h) = 24*h**3 - 135*h**2 - 243*h + 309. Let u(o) = -5*k(o) - 9*q(o). Find y, given that u(y) = 0.
-2, 1, 25
Suppose 0 = 3*k + 5*g + 56, 181*g = 4*k + 185*g + 40. Let 10/3*x**k - 14/3*x**2 - 10/3*x + 4 + 2/3*x**4 = 0. Calculate x.
-6, -1, 1
Let d(w) = -w**2 + 11. Let g be d(-3). Factor 20 - 2*y**3 - 435*y + 2*y**2 + 14*y**g + 473*y.
-2*(y - 10)*(y + 1)**2
Let v(x) be the third derivative of -6*x**3 - 102*x**2 + 0 + 1/40*x**6 + 2*x**4 - 7/20*x**5 + 0*x. Find h such that v(h) = 0.
2, 3
Factor 284*f - f**2 - 89*f + 308*f - 502.
-(f - 502)*(f - 1)
Let y(s) be the third derivative of -s**7/1155 - 1073*s**6/660 - 19153*s**5/22 + 96123*s**4/44 + 1775*s**2. Determine j so that y(j) = 0.
-537, 0, 1
Let o(v) = -4876*v + 863054. Let g be o(177). Factor 0*c + 5/2*c**g + 5/4*c**3 + 0.
5*c**2*(c + 2)/4
Let m(r) be the third derivative of -1/140*r**6 + 0*r + 0*r**3 - 2*r**2 + 3 - 1/84*r**4 - 1/70*r**5 - 1/735*r**7. Factor m(y).
-2*y*(y + 1)**3/7
Let v(s) be the third derivative of -971*s**6/540 - 194*s**5/27 - 967*s**4/108 + 2*s**3/27 - 2*s**2 - 346*s - 2. Solve v(o) = 0.
-1, 2/971
Suppose 10*j + 711 = 731. Determine h, given that -4*h**4 + 24*h - 142*h**j - 24*h**3 + 73*h**2 + 73*h**2 = 0.
-6, -1, 0, 1
Let a(n) = -96*n + 178. Let m be a(3). Let t be (16/(-60))/(4/m). Factor 4*y**2 + t*y + 2/3*y**3 + 4.
2*(y + 1)*(y + 2)*(y + 3)/3
Let -182/11*h + 2/11*h**2 + 0 = 0. Calculate h.
0, 91
Let o(g) be the first derivative of 9*g**2 + 0*g + 49/2*g**4 - 28*g**3 + 149. Factor o(s).
2*s*(7*s - 3)**2
Let z be ((-4)/78 + 0)*(11 + (-360)/32). Let x(p) be the third derivative of 0 + 2*p**2 + 0*p**3 + 1/390*p**5 + z*p**4 + 0*p. Factor x(d).
2*d*(d + 2)/13
Let g(i) be the first derivative of 205 + 5/3*i**3 + 0*i + 5/4*i**4 - 5*i**2. Solve g(f) = 0.
-2, 0, 1
Let q(p) be the third derivative of -p**5/6 - 133*p**4/12 - 138*p**3 - 56*p**2 - 3*p. Factor q(j).
-2*(j + 23)*(5*j + 18)
Let g = 484 - 454. Factor 4*l + g*l**2 - 13*l**2 - 4*l**3 + 12 - 29*l**2.
-4*(l - 1)*(l + 1)*(l + 3)
Let y = -132 - -188. Let d = y + -53. Factor 865 - 865 - d*n**2.
-3*n**2
Suppose -590 = 2*w - 602. Suppose -4*k**4 + w*k**3 + 6*k**4 + 974*k + 5*k**4 - 32*k**2 - 1006*k + k**5 = 0. Calculate k.
-4, -1, 0, 2
Find v such that 0 + 3365/4*v**3 + 5/4*v**5 + 980*v + 1890*v**2 - 135/2*v**4 = 0.
-1, 0, 28
Let y(v) = v**3 - 14*v**2 - v + 17. Let r(d) = d**3 - 28*d**2 - d + 33. Suppose 0*l - 75 = 25*l. Let j(t) = l*r(t) + 5*y(t). Let j(n) = 0. Calculate n.
-7, -1, 1
Let g = 109564/5 + -21910. Factor -2 - g*t**2 + 22/5*t + 2/5*t**3.
2*(t - 5)*(t - 1)**2/5
Let r = 78 - 153/2. Let m = 2069/10 - 1027/5. Factor -3/2*y**2 + 3/2 + m*y - r*y**3.
-3*(y - 1)*(y + 1)**2/2
Let f = -140972 - -704862/5. Let -16/5 + 4/5*q + f*q**2 = 0. Calculate q.
-4, 2
Let k(a) = a**3 + 2*a - 2. Let l(c) = -14*c**3 - 48*c**2 - 512*c + 12832. Let g(i) = -16*k(i) - l(i). Factor g(o).
-2*(o - 20)**2*(o + 16)
Let o(u) = u**3 + 17*u**2 - 19*u - 18. Let n be (-19 + 22)/(1/(-6)). Let w be o(n). Find l, given that w*l - 5/2*l**3 + 10*l**2 + 0 = 0.
0, 4
Suppose -o - 3*o = 0. Let i be (5/3)/(605/66 + -9). Factor o - 7*l - 2*l - 7*l - 6 - i*l**2.
-2*(l + 1)*(5*l + 3)
Let d(i) = -52*i - 92. Let h be d(-2). Suppose -2*m = -31 - 43. Factor -m*a**2 + 14*a**2 + 15*a**2 + 8*a + h*a**2.
4*a*(a + 2)
Let g be (6 - (-48)/(-8))/4. Let r(p) be the second derivative of g - 2/3*p**3 - 6*p - 1/5*p**5 + 2/3*p**4 + 0*p**2. Suppose r(y) = 0. Calculate y.
0, 1
Let u(i) be the first derivative of -i**5/150 + i**4/30 - 2*i**3/45 - 37*i - 20. Let v(y) be the first derivative of u(y). Solve v(j) = 0 for j.
0, 1, 2
Let p(h) = -4*h**4 + 22*h**3 + 171*h**2 + 367*h + 251. Let o(q) = -19*q**4 + 111*q**3 + 856*q**2 + 1834*q + 1254. Let v(z) = -3*o(z) + 14*p(z). Solve v(k) = 0.
-2, 31
Let i(c) be the first derivative of 1/8*c**3 + 31 - 12*c + 93/16*c**2. Solve i(o) = 0.
-32, 1
Let h = -618 - -621. Suppose 3*s = -h*n + 9, 4*s + 1 = -n + 13. Factor -2/3*l**s + 2/3*l**2 + l + 1/3 - l**4 - 1/3*l**5.
-(l - 1)*(l + 1)**4/3
Let o be (6*1)/(((-4)/6)/((-160)/1680)). Solve -22/7*m**3 - 18/7*m - o*m**4 - 4/7 - 30/7*m**2 = 0 for m.
-1, -2/3
Let b(o) be the third derivative of -1/105*o**7 + 0*o**4 + 0*o + 0*o**3 - 44*o**2 - 49/30*o**5 + 0 - 7/30*o**6. Factor b(q).
-2*q**2*(q + 7)**2
Suppose -2*c = -2*k - 8, -5*c + 6 = -c + k. Suppose -c*q = -37 + 29. Factor -1/2*b + 1/8*b**3 - 1/2*b**2 + 1/8*b**q + 0.
b*(b - 2)*(b + 1)*(b + 2)/8
Let s = 581 + -586. Let u be ((-1)/(-9)*s)/(255/(-306)). Factor 0*y - u + 2/3*y**2.
2*(y - 1)*(y + 1)/3
Let c = 38 - -1106. Let h = c + -4569/4. Let 1/4*f**4 - 3/4*f + 13/4*f**2 + h*f**3 - 9/2 = 0. What is f?
-3, -2, 1
Suppose -20*r + 12*r = -1392. Find n, given that -120 - 117*n**3 + 4*n**4 + 76*n**2 - r*n + 15*n**4 - 339*n**3 + 653*n**2 + 2*n**4 = 0.
-2/7, 1, 20
Let l(u) be the first derivative of 2*u**6/15 - 3*u**5/5 + 2*u**4/3 - 86*u + 56. Let f(t) be the first derivative of l(t). Determine j, given that f(j) = 0.
0, 1, 2
Let s = 422495/21 - 20114. Let i = s + -13/42. Factor 5/3 - i*k + 5/6*k**2.
(k - 5)*(5*k - 2)/6
Factor -197*v - 9/2*v**2 + 44.
-(v + 44)*(9*v - 2)/2
Suppose 206 = -7*c + 241. Let o be (-3)/c*725/(-1305). Factor -2/9*a**2 + o*a + 2/9 - 1/3*a**3.
-(a - 1)*(a + 1)*(3*a + 2)/9
Factor -9/4*f - 1 - 3/4*f**2 + 5/4*f**3 + 3/4*f**4.
(f + 1)**3*(3*f - 4)/4
Let c be (-18)/