(n) be the third derivative of t(n). Let s(x) = 0. What is x?
6/7
Let o(x) be the second derivative of -x**4/48 - 103*x**3/24 - 245*x**2/4 - 2*x + 160. Factor o(u).
-(u + 5)*(u + 98)/4
Let m(h) be the first derivative of -57 + 0*h**3 + 3/2*h**4 - 3/2*h**2 + 0*h**5 + 0*h - 1/2*h**6. Factor m(s).
-3*s*(s - 1)**2*(s + 1)**2
Suppose -2*w - 2 = 24. Let u = -9 - w. Suppose -10*b**2 + 1 + 18*b**2 - 1 + u*b**3 = 0. Calculate b.
-2, 0
Let q(o) = -2*o**4 - 53*o**3 - 521*o**2 - 1842*o - 2178. Let y(h) = -6*h**4 - 160*h**3 - 1564*h**2 - 5528*h - 6534. Let b(j) = 8*q(j) - 3*y(j). Factor b(a).
2*(a + 3)**2*(a + 11)**2
Let o be 11*(-1007)/(-3135) - 7*(-1)/(-3). Let z(b) be the first derivative of 1/30*b**3 - 2/5*b**2 + 1/40*b**4 - o*b + 13. Factor z(q).
(q - 3)*(q + 2)**2/10
Let v(i) = -i**3 - 360*i**2 - 361*i + 650. Let w(a) = a**3 + a**2 + 34. Let z(x) = 2*v(x) + 4*w(x). Factor z(m).
2*(m - 359)*(m - 1)*(m + 2)
Let b(u) be the first derivative of 3 - 1/1800*u**6 + 1/20*u**4 - 1/600*u**5 + 29/3*u**3 + 0*u + 0*u**2. Let h(p) be the third derivative of b(p). Factor h(l).
-(l - 2)*(l + 3)/5
Let w(n) = -15*n**3 - 13*n**2 + 89*n + 26. Let p(d) = -7*d**3 - 6*d**2 + 43*d + 12. Let b(q) = 13*p(q) - 6*w(q). Factor b(s).
-s*(s - 5)*(s + 5)
Determine h, given that -369/2*h + 2213/12*h**2 + 0 + 1/12*h**3 = 0.
-2214, 0, 1
Solve 1800/7 - 8*t**4 + 4380/7*t + 95*t**3 + 3302/7*t**2 + 1/7*t**5 = 0 for t.
-2, -1, 30
Let y(w) be the first derivative of -4/3*w + 4 + 5/18*w**4 + 14/27*w**3 - 2/45*w**5 - 5/9*w**2. Let y(q) = 0. Calculate q.
-1, 1, 6
Let t = 138533 + -138528. Factor 17/3*p - 2/3 + 62/3*p**3 - 16*p**2 - 38/3*p**4 + 3*p**t.
(p - 1)**4*(9*p - 2)/3
Suppose 101*f = 122*f - 1617. Suppose -68*w = -f*w + 18. Find b such that 1/3*b**3 - 1/3*b**w + 0 - 2/3*b = 0.
-1, 0, 2
Let s(o) be the second derivative of o**4/144 + 7*o**3/4 - 127*o**2/24 - 1316*o. Factor s(m).
(m - 1)*(m + 127)/12
Let c = -285336/149 - -1915. Let v = 293/745 - c. Find g such that 8/5*g + 6/5 + v*g**2 = 0.
-3, -1
Let c(d) be the first derivative of 44/3*d**3 + 16*d + 36 + 24*d**2 - 2/3*d**6 + d**4 - 12/5*d**5. Let c(h) = 0. What is h?
-2, -1, 2
Let p be (-99 + -1)/(1/(-15 + 13)). Factor 2*r**3 - 18*r**2 + 114*r + 5*r**2 + 46*r + p - 25*r**2.
2*(r - 10)**2*(r + 1)
Find w, given that 0 + 2/15*w**5 + 132/5*w**3 + 504/5*w**2 + 144*w + 46/15*w**4 = 0.
-6, -5, 0
Let s = 80142/5 - 16027. Let -7/5*h + 22/5*h**3 + s*h**4 - 6/5*h**2 - 1/5 - 3*h**5 = 0. What is h?
-1, -1/3, -1/5, 1
Factor -28*a - 4*a**4 + 8*a**2 + 18*a**3 + 46278*a**5 - 46276*a**5 + 7*a - 3*a - 8*a**4.
2*a*(a - 3)*(a - 2)**2*(a + 1)
Suppose 34*v - 867 = -221. Let b(c) be the first derivative of -27/10*c**5 - 2*c**3 - 5/8*c**6 + 3/2*c - v + 9/8*c**2 - 33/8*c**4. Solve b(g) = 0.
-1, 2/5
Let h = 19 + -9. Suppose -4*n - 1 - 1 = -3*c, c = 4*n - h. Factor c + 3 - z**2 + 12*z - 1 + 5*z**2.
4*(z + 1)*(z + 2)
Let q be (-36)/(-4) - 2/(-2)*-2. Suppose -q*z = -16 + 2. Factor -8/7*l + 2/7*l**z + 0.
2*l*(l - 4)/7
Let l(k) be the first derivative of 121/10*k + 1/50*k**5 - 3/5*k**4 + 83/15*k**3 - 80 - 66/5*k**2. Determine j so that l(j) = 0.
1, 11
Let w(q) = -916*q**3 - 68156*q**2 + 18220*q - 1208. Let m(h) = 4*h**3 - h**2 + h - 2. Let r(k) = 4*m(k) + w(k). Factor r(u).
-4*(u + 76)*(15*u - 2)**2
Let z = -322731 - -322731. Factor z + 1/4*b**3 - 7/4*b**2 + 5/2*b.
b*(b - 5)*(b - 2)/4
Let l(b) be the second derivative of -1/4*b**4 + 4/3*b**3 + 3*b - 2*b**2 + 1/30*b**6 - 1/10*b**5 - 33. Factor l(k).
(k - 2)*(k - 1)**2*(k + 2)
Let o be 22 - 56/(-30)*(-3960)/396. Let -38/3*r + 6*r**2 - o - 8/3*r**4 + 38/3*r**3 = 0. What is r?
-1, -1/4, 1, 5
Determine v so that 2/3*v**2 + 166*v + 492 = 0.
-246, -3
Let u(p) be the second derivative of 3*p**5/20 + 9*p**4 - 42*p**3 - 456*p**2 + 64*p + 41. Factor u(w).
3*(w - 4)*(w + 2)*(w + 38)
Let t(m) be the second derivative of 2*m**6/105 - 2*m**5/7 + 31*m**4/21 - 20*m**3/7 - 2596*m. Solve t(q) = 0.
0, 2, 3, 5
Let 729*s**2 + 4183 - 12552 - 2187*s + 4184 + 4185 + 3*s**4 - 81*s**3 = 0. Calculate s.
0, 9
Let d = 1060 - 1012. Suppose d*j - 179 = -35. Suppose 0 - 2/5*g**2 + 14/5*g**j + 0*g = 0. Calculate g.
0, 1/7
Suppose -6*a + 4*c = -3*a - 50, 0 = -4*a - 3*c - 25. Solve 10/3*b**a - 8 - 56/3*b = 0.
-2/5, 6
Let c(p) be the first derivative of 3/4*p**4 + 45/2*p**2 + 75*p - 45 - 9*p**3. Factor c(z).
3*(z - 5)**2*(z + 1)
Let j(y) = -8*y**4 - 188*y**3 + 195*y**2 + 185*y - 190. Let c(g) = 145*g**4 + 3385*g**3 - 3510*g**2 - 3330*g + 3420. Let d(p) = 3*c(p) + 55*j(p). Factor d(f).
-5*(f - 1)**2*(f + 1)*(f + 38)
Determine g, given that -96*g + 175 - 2*g**3 - 41*g**2 + 10 - 61*g**2 - 71 + 86 = 0.
-50, -2, 1
Suppose 6*b - 3 = -3*k + 2*b, -5*k + 13 = 4*b. Suppose 9*x - 12 = k*x. Suppose -4*n**2 + n**2 - 5 - n**x - 11*n - 2*n**2 - 2*n**2 = 0. Calculate n.
-5, -1
Let o(w) be the first derivative of w**7/168 + 7*w**6/72 - w**5/3 + 35*w**3/3 - w**2/2 + 131. Let m(y) be the third derivative of o(y). Factor m(c).
5*c*(c - 1)*(c + 8)
Let h(n) be the third derivative of 200*n**3 + 83*n**2 + 5/2*n**4 + 1/80*n**5 + 0*n + 0. Factor h(g).
3*(g + 40)**2/4
Let v(h) = -2*h**3 + 8*h**2 - 2*h - 18. Let x be v(8). Let u = 1117/2 + x. Factor 0 - 8*q**3 + u*q**5 + 0*q - 2*q**2 - 5/2*q**4.
q**2*(q - 1)*(5*q + 2)**2/2
Factor 16/7*t**2 + 3*t**4 - 144/7 - 144/7*t + 60/7*t**3 + 2/7*t**5.
(t + 2)**3*(t + 6)*(2*t - 3)/7
Solve -2*f**3 + 266*f**2 - 3459 - 1745 - 2148*f - 6562*f - 3774 = 0.
-1, 67
Suppose -1226 = -104*v + 1157 + 1049. Let y = -5 - -7. Factor -2*u**3 - 4*u**y - v + 4*u - 2*u**3 - 4*u**2 + 41.
-4*(u - 1)*(u + 1)*(u + 2)
Let n be 8/124 + (24 - 76006/5673). Determine i, given that 16/3*i**3 - n*i**2 + 0*i + 0 - 2/3*i**4 = 0.
0, 4
Suppose 0*i - 12 = -3*w + 3*i, 2*w - 5*i = -7. Factor -5 - 5 - w*p - 6 + 6 + p**2.
(p - 10)*(p + 1)
Factor 314/11*n**2 + 0*n + 2/11*n**5 + 318/11*n**4 + 630/11*n**3 + 0.
2*n**2*(n + 1)**2*(n + 157)/11
Let -31/4*g + 1/4*g**2 + 27 = 0. Calculate g.
4, 27
Let u(h) be the second derivative of h**4/24 + h**3/2 + 5*h**2/4 - 3*h + 350. Determine r so that u(r) = 0.
-5, -1
Let o(q) be the first derivative of q**6/15 - 6*q**5/25 - 3*q**4/10 + 22*q**3/15 - 6*q**2/5 + 2402. Find n, given that o(n) = 0.
-2, 0, 1, 3
Let h(a) be the first derivative of -a**3/27 - 121*a**2/6 + 219. Find u, given that h(u) = 0.
-363, 0
Let t(s) = 2*s**3 + 29*s**2 + 77*s + 10. Let h(d) = d + 33*d**2 - 2*d - 5 + 3 - 34*d**2. Let b(i) = -5*h(i) - t(i). Suppose b(c) = 0. What is c?
-6, 0
Let o(y) be the third derivative of 0 + 1/30*y**5 + 3844/3*y**3 + 125*y**2 + 31/3*y**4 + 0*y. Factor o(q).
2*(q + 62)**2
Let v = 104314 - 104310. Factor 92/7*j**3 + 484/7*j + 0 + 572/7*j**2 + 4/7*j**v.
4*j*(j + 1)*(j + 11)**2/7
Suppose 15 = 5*r - c, c = -4*r - r + 5. Let f = -3979 + 3985. Solve f*u + 867*u**r - 863*u**2 - 18*u = 0 for u.
0, 3
Let j(n) be the first derivative of -n**9/1512 + n**8/840 + 34*n**3/3 + n - 44. Let v(q) be the third derivative of j(q). Factor v(p).
-2*p**4*(p - 1)
Let m(w) be the first derivative of 2*w**3/15 - w**2 + 1496. Find n such that m(n) = 0.
0, 5
Let q be -5 + 17 - (((-966)/115)/((-8)/20) - 12). What is l in 1/3*l**q + 3025/3 + 37*l**2 + 1045*l = 0?
-55, -1
Suppose -6 = 3*l - y - 7, 4*l - 2*y - 2 = 0. Let t(c) be the first derivative of 17 + c**2 - 1/6*c**6 + l*c + 3/4*c**4 + 5/3*c**3 - 1/5*c**5. Factor t(o).
-o*(o - 2)*(o + 1)**3
Factor 1152/5 + 1144/5*t**2 - 4/5*t**3 + 460*t.
-4*(t - 288)*(t + 1)**2/5
Let w(h) be the third derivative of -h**7/315 + 11*h**6/180 - 7*h**5/90 - 49*h**4/12 + 676*h**2. Solve w(n) = 0 for n.
-3, 0, 7
Let u(v) be the first derivative of v**8/4200 + 3*v**7/700 + v**6/60 + 7*v**5/300 - 2*v**3/3 + 25*v - 40. Let k(l) be the third derivative of u(l). Factor k(a).
2*a*(a + 1)**2*(a + 7)/5
Let k(s) be the first derivative of 2*s**2 + 0*s**3 + 0*s - 44 - 2*s**4 + 0*s**5 + 2/3*s**6. Solve k(t) = 0 for t.
-1, 0, 1
Find s such that 1/3*s**3 - 30*s + 0 + 1/3*s**5 - 33*s**2 + 11/3*s**4 = 0.
-10, -3, -1, 0, 3
Factor -797*y - 20*y**3 + 347*y - 1134*y - 456*y**2 + 2*y**4.
2*y*(y - 22)*(y + 6)**2
Factor 0 - 106671168*x - 684*x**3 - 467856*x**2 - 1/3*x**4.
-x*(x + 684)**3/3
Let h(u) = -2*u**2 + u - 1. Let s(o) = 2688 - 257*o + 112*o**2 + 3720 - 92*o**2 - 71*o. Let g(a) = 8*h(a) + s(a). Determine l so that g(l) = 0.
40
Let c(f) be the first derivat