. Let v be x(-10). Factor 2/3*i**v + 32/3 + 0*i**3 - 16/3*i**2 + 0*i.
2*(i - 2)**2*(i + 2)**2/3
Let a(n) be the third derivative of -2*n**7/105 - 23*n**6/6 - 3127*n**5/15 + 3481*n**4/2 + 305*n**2 - 2*n. Solve a(o) = 0.
-59, 0, 3
Let s(k) = -6*k**2 - 10320*k + 6656230. Let y(x) = -x**2 - 17. Let d(z) = s(z) - 10*y(z). Suppose d(p) = 0. What is p?
1290
Find u such that -274/5*u - 14/5*u**3 - 134/5*u**2 - 156/5 + 2/5*u**4 = 0.
-3, -2, -1, 13
Let u be -6*((-4)/3)/(127 + -115). Solve 0*o + 0*o**2 - 2/3*o**4 + 0*o**3 - u*o**5 + 0 = 0 for o.
-1, 0
Let q(v) be the second derivative of 0*v**3 + 0 - 40*v**2 + 49*v + 5/12*v**4. Suppose q(j) = 0. Calculate j.
-4, 4
Let z(m) = 66*m - 2. Let p be z(1). Suppose 5*r = f + p, 0 = -0*r - 5*r - 4*f + 44. Factor 25*c**4 - 10*c**4 - r*c**4.
3*c**4
Factor 2/9*k**2 + 35/9 - 17/9*k.
(k - 5)*(2*k - 7)/9
Let a(t) = -42*t**2 + 384*t + 3578 + 127*t**2 - 4727 + 7*t**3. Let x(i) = -15*i**3 - 169*i**2 - 768*i + 2297. Let q(o) = 7*a(o) + 3*x(o). Factor q(v).
4*(v - 2)*(v + 12)**2
Let o = 501 - -63. Solve -16*r**3 - o*r**3 + 686*r**4 - 5*r**2 + 185*r**2 - 8*r**3 - 12*r**2 - 16*r = 0.
0, 2/7
Let x = 783 - 780. Let g be (-1374)/(-8) - (-3)/(-4). Factor -g*y**3 + 178*y**x + y - 19*y**2 - 7*y.
y*(y - 3)*(7*y + 2)
Suppose 2*p - 22 = -14. Factor 6 + 10*w**3 + 4*w**2 - 78*w**2 + 110*w**4 + 62*w - 96*w**p - 18.
2*(w - 1)**2*(w + 3)*(7*w - 2)
Let f(o) be the first derivative of -1/22*o**4 - 17/11*o**2 + 193 + 20/11*o + 16/33*o**3. Factor f(z).
-2*(z - 5)*(z - 2)*(z - 1)/11
Let t be 2/39*(-767)/(-52)*8. Let z = t - 57/13. Factor -2 - 1/3*n**3 + 2/3*n**2 + z*n.
-(n - 3)*(n - 1)*(n + 2)/3
Let -837/4 + 135/2*j + 3/4*j**2 = 0. What is j?
-93, 3
Let m be ((-987867)/456)/(2601/(-4)). Let i = 1/578 + m. Find z, given that z**2 + i + 17/3*z = 0.
-5, -2/3
Let p(t) be the second derivative of t**5/10 - t**4/12 - t**2/2 + t - 5. Let i(h) = 3*h**3 - 99*h**2 - 75*h + 39. Let u(k) = i(k) + 3*p(k). Factor u(b).
3*(b - 12)*(b + 1)*(3*b - 1)
Let n be (-3)/(-4) + (-273)/(-52). Suppose 2 + n = 4*g. Find h such that 52*h + 60*h**g + 63*h**3 + h**4 + 16 - 35*h**3 + 3*h**4 = 0.
-4, -1
Let x(z) = -11*z**3 - z**2 + 15*z + 9. Let o(g) = 10*g**3 + 2*g**2 - 14*g - 9. Let n(c) = 4*o(c) + 3*x(c). Factor n(v).
(v + 1)**2*(7*v - 9)
Let m be (2/(-9) + 4505/(-10710))/(3/(-2)). Let b = -94 + 662/7. Factor 1/7*v**2 - b*v + m.
(v - 3)*(v - 1)/7
Let p(n) be the first derivative of -4*n**6 + 132/5*n**5 + 207/4*n**2 - 267/8*n**4 - 27/2*n - 115/2*n**3 + 29. Find r such that p(r) = 0.
-1, 1/4, 3
Suppose 0 = -9*r - 51 + 51. Suppose r = 6*t - 3 - 9. Factor -10/9*v**t + 2/9 + 8/9*v.
-2*(v - 1)*(5*v + 1)/9
Suppose -5*g + 7*w = 4*w - 80, 5*w = -25. Determine o, given that -5*o**5 + g*o**3 - 27*o**3 - 16*o**3 - 201*o**2 + 191*o**2 + 35*o + 25*o**4 - 15 = 0.
-1, 1, 3
Let p(o) = -3*o**3 - 300*o**2 + 1188*o - 1179. Let c(s) = -s**3 - 302*s**2 + 1188*s - 1178. Let i(q) = -3*c(q) + 2*p(q). Determine t, given that i(t) = 0.
2, 98
Let u be (25/(-24))/((-7270)/5816). Solve u*c**2 + 0 + 7/3*c - 1/6*c**3 = 0 for c.
-2, 0, 7
Let z(x) be the first derivative of x**5/300 - x**4/30 + 2*x**3/15 - x**2 - 10*x + 9. Let q(s) be the second derivative of z(s). Let q(k) = 0. What is k?
2
Let j(s) = s**3 + 35*s**2 - 36*s + 3. Let q(g) = 8*g**3 + 316*g**2 - 324*g + 28. Suppose 0 = -14*m - 3 + 45. Let f(d) = m*q(d) - 28*j(d). Factor f(k).
-4*k*(k - 1)*(k + 9)
Let y(f) = -4*f**2 - 5*f - 8. Let p be y(-2). Let h = -11 - p. Let -4/5 - 2/5*k**h + 2*k**4 - 6*k**2 + 26/5*k = 0. What is k?
-2, 1/5, 1
Let i be (-7)/(-24) + 985/2955. Factor -1/2*x - 5/2 + 1/8*x**3 + i*x**2.
(x - 2)*(x + 2)*(x + 5)/8
Factor 4135688/9 + 5752/9*a + 2/9*a**2.
2*(a + 1438)**2/9
Let q(t) be the first derivative of -1/13*t**2 + 24/13*t - 2/39*t**3 + 94. Factor q(b).
-2*(b - 3)*(b + 4)/13
Let i = -65 + 166. Find m such that -20 + 15*m + i*m**2 - 7*m - 89*m**2 = 0.
-5/3, 1
Determine m so that -155053 + 1752*m - 815*m**2 + 812*m**2 - 100739 = 0.
292
Let x(v) = 9*v**3 + 11*v**2 - 5*v + 1. Let i(t) = t**3 + t**2 - t. Let d = -35 - -11. Let l = d - -29. Let s(b) = l*x(b) - 40*i(b). Let s(j) = 0. Calculate j.
-1
Let o(r) be the third derivative of -1/45*r**5 + 1/9*r**3 + 1/24*r**4 - 1/120*r**6 + 0 + 0*r - 228*r**2 + 1/315*r**7. Determine n, given that o(n) = 0.
-1, -1/2, 1, 2
Let w(y) be the third derivative of -y**8/168 + 2*y**7/21 - 19*y**6/60 - 13*y**5/15 + 23*y**4/3 - 56*y**3/3 - 2*y**2 + y - 645. What is u in w(u) = 0?
-2, 1, 2, 7
Let y(g) = -9*g**5 + 15*g**4 + 5*g**3 - 90*g**2 + 64*g. Let c(b) = -b**5 - b**4 + b**3 - 2*b**2. Let x(i) = 5*c(i) - y(i). What is s in x(s) = 0?
-2, 0, 1, 2, 4
Let w(k) = k**2 - 9*k - 34. Let v be w(12). Suppose v*j + 2*d - 8 = 0, -4*d + 29 - 15 = 3*j. Factor 0*p - 1/2*p**3 + 1/2*p**5 - 1/4 + p**j - 3/4*p**4.
(p - 1)**3*(p + 1)*(2*p + 1)/4
Let k(g) = -7*g**2 - 32*g - 58. Let d(c) = -30*c**2 - 126*c - 231. Let f = -313 + 304. Let u(h) = f*k(h) + 2*d(h). Factor u(w).
3*(w + 2)*(w + 10)
Let g(h) be the first derivative of h**6/320 - 9*h**5/80 + 33*h**4/64 - h**3 - 5*h**2/2 - 32*h - 106. Let a(s) be the second derivative of g(s). Factor a(d).
3*(d - 16)*(d - 1)**2/8
Let w(a) be the first derivative of -127 - 90 - 24*a**2 - a**3 + 276 - 192*a. Let w(x) = 0. Calculate x.
-8
Let u(k) be the first derivative of -5/3*k**3 + 70*k - 65/2*k**2 + 38. Find l, given that u(l) = 0.
-14, 1
Let c(s) = -1. Let x(h) be the third derivative of h**6/60 + 2*h**5/5 - 13*h**4/12 + h**3/3 - 64*h**2. Let g(v) = -2*c(v) - x(v). Factor g(p).
-2*p*(p - 1)*(p + 13)
Suppose 2*a = 3*b - 51, -b + 80*a = 81*a + 18. Let -2/7*h**b + 0 + 4/7*h**2 + 48/7*h = 0. Calculate h.
-4, 0, 6
Let i(q) be the third derivative of -q**7/7560 - q**6/1080 - q**5/360 + 9*q**4/8 + q**2 - 4*q. Let f(p) be the second derivative of i(p). Factor f(o).
-(o + 1)**2/3
Let n**2 - 104 - 26 - 263*n + 27 - 99 - 62 = 0. Calculate n.
-1, 264
Let u(c) be the first derivative of 26/17*c - 58 + 14/17*c**2 + 2/51*c**3. Let u(y) = 0. Calculate y.
-13, -1
Let n = 20 - 20. Let u be 1/((-23)/(-322)*-42*(-1)/4). Suppose -2/3*t**2 - u*t + n = 0. What is t?
-2, 0
Let i(j) be the third derivative of j**7/1260 + j**6/72 + 23*j**5/360 + 7*j**4/72 + 4*j**2 - 51*j. Let i(o) = 0. Calculate o.
-7, -2, -1, 0
Suppose -3*r = 2*r - 2*z - 16, -3*z = -4*r + 10. Factor -3*c**3 - c**3 - 32*c**5 + 34*c**5 - 5*c**r + 0*c**4 + 3*c**2.
c**2*(c - 3)*(c + 1)*(2*c - 1)
Let k be (161/(-2415))/(3 + (-66)/20). Find w, given that -8/9*w**2 + k*w**5 + 4/9*w**4 + 8/9*w + 0 - 2/3*w**3 = 0.
-2, 0, 1
Let o(y) be the first derivative of 5*y**3/6 + 345*y**2/4 - 426. Find t, given that o(t) = 0.
-69, 0
Let r(w) be the first derivative of -w**6/360 - 23*w**5/60 + 23*w**3/3 + 46. Let l(t) be the third derivative of r(t). Factor l(u).
-u*(u + 46)
Let r(y) = 2*y**2 + 12*y - 30. Let g be r(-8). Suppose 359 - 367 = -g*z. Factor 5/2*s + 5*s**3 + 0 - 5*s**z + 35/4*s**2.
-5*s*(s - 2)*(2*s + 1)**2/4
Let l = -1052 - -984. Let r be (319/(-33) + 9)*l. Factor -r*d**2 + 112*d + 4*d**3 + 96.
4*(d - 6)**2*(3*d + 2)/3
Let i(g) be the first derivative of 5*g**3/3 + 35*g**2 - 1960*g - 6330. Factor i(a).
5*(a - 14)*(a + 28)
Suppose 0 = -f - 4*b + 2616, 0 = -3*b - 25 + 22. Determine g, given that 391*g - f - 580 + 15*g**4 - 19*g**4 - 1128*g**2 + 148*g**3 - 4871*g = 0.
-2, -1, 20
Let z(r) be the second derivative of -3 + 21*r - 1/4*r**5 - 160*r**3 + 1280*r**2 - 25/2*r**4. Factor z(d).
-5*(d - 2)*(d + 16)**2
Let g(s) be the first derivative of -s**6/3 + 16*s**5/5 + s**4 - 32*s**3/3 - s**2 + 16*s + 281. Find d, given that g(d) = 0.
-1, 1, 8
Let t(c) = -87*c - 126. Let j be t(-6). Let m = j + -393. Let -120/7*h - 92/7*h**2 + 36/7 - 16/7*h**m = 0. Calculate h.
-3, 1/4
Let z be (((-140)/(-12))/(-7))/(2/60). Let f = -48 - z. Factor 3*c**f + 5*c - 9*c + c**2 - 8*c.
4*c*(c - 3)
Let p(c) be the first derivative of -8*c**6/3 - 328*c**5/5 - 1633*c**4/4 + 952*c**3/3 + 4387*c**2/2 - 3362*c + 2229. Suppose p(q) = 0. What is q?
-41/4, -2, 1
Let z(r) be the second derivative of 0*r**2 + 21 + 3*r + 5/6*r**3 + 1/12*r**4. Suppose z(n) = 0. What is n?
-5, 0
Let k = -324300/7 - -46330. Let -2/7*c**2 + 12/7*c - k = 0. What is c?
1, 5
Let a = 83 - 81. Factor -30 + 31*x**2 + 5*x**3 + 12 + 15*x - 6*x**a - 27.
5*(x - 1)*(x + 3)**2
Let b be -22 + 27 + (-3 - 1). Let w 