x(s) = 96*s**4 + 381*s**3 + 723*s**2 + 456*s. Let g(d) = -5*d**4 - 20*d**3 - 38*d**2 - 24*d. Let w(z) = m*g(z) - 2*x(z). Solve w(f) = 0.
-2, 0
Let q = 21181/2 - 317711/30. Let o(f) be the first derivative of -12 + q*f**3 - 3/5*f**2 + 0*f. Factor o(l).
2*l*(l - 3)/5
Solve 44*s**3 - 15999*s**2 + 16099*s**2 - 39*s**3 + 2240 - 1040*s = 0 for s.
-28, 4
Let t(s) be the second derivative of s**4/3 - 4*s**3/3 - 70*s**2 + 3009*s. Factor t(c).
4*(c - 7)*(c + 5)
Let p = 2047881/138370 + -1/27674. Factor p*i**2 + 144*i + 648/5 + 2/5*i**3.
2*(i + 1)*(i + 18)**2/5
Let o(m) = -m**3 + 8*m - 3. Let i be o(3). Let h be (-49)/(-21) + 2/i. Suppose 1 - 15 + 5*x**h + 9 = 0. What is x?
-1, 1
Let z(u) = -3*u**3 - 11*u**2 + 5*u + 7. Let g be z(-4). Let q(v) be the first derivative of 1/5*v**2 + 4/15*v - 20 + 2/45*v**g. Find i, given that q(i) = 0.
-2, -1
Determine m, given that -24/11 + 50/11*m**3 - 40/11*m - 10/11*m**5 - 6/11*m**4 + 30/11*m**2 = 0.
-2, -1, -3/5, 1, 2
Let q be 105360/(-38200)*1/(-2) + -1. Let h = 4/191 + q. Factor 2/5*b**4 - 4/5*b**2 + h + 0*b**3 + 0*b.
2*(b - 1)**2*(b + 1)**2/5
Let o = 119005/3 - 39668. Factor -1/3*m**3 + 2/3 + o*m - 2/3*m**2.
-(m - 1)*(m + 1)*(m + 2)/3
Let u(t) be the first derivative of t**3/6 - 2168. Solve u(n) = 0.
0
Suppose -13/8*d + 1/8*d**2 - 7/4 = 0. Calculate d.
-1, 14
Suppose -4*o - 480 = -488. Let f = 15 - 11. Let -4*v**4 + 0*v**f - 64*v**o + 52*v**3 + 16*v - 8*v**4 = 0. Calculate v.
0, 1/3, 2
Let l(u) = -u**5 + 16*u**4 + 6*u + 6. Let c(r) = -3*r**5 + 33*r**4 + 13*r + 13. Let x = 933 - 920. Let d(g) = x*l(g) - 6*c(g). Suppose d(o) = 0. What is o?
-2, 0
Let z(c) = 9*c**3 + c**2 + 4*c - 9. Let u(i) be the first derivative of -i**4/2 + i**2/2 - 140. Let t(g) = 5*u(g) + z(g). Solve t(s) = 0.
-3, 1, 3
Let a(n) be the first derivative of -n**4/4 - 326*n**3/3 - 13446*n**2 - 52488*n + 1735. Solve a(m) = 0.
-162, -2
Suppose 527*k**2 - 519*k**2 + 20*k**3 + 33*k**4 - 17*k**4 + 4*k**5 = 0. What is k?
-2, -1, 0
Let i(h) be the third derivative of 29/3*h**4 - 112/3*h**3 + 0 + 349*h**2 + 1/60*h**6 + 0*h - 16/15*h**5. Factor i(t).
2*(t - 28)*(t - 2)**2
Factor -132*t**3 + 27*t**3 + 3*t**4 + 369*t**3 + 546*t - 813*t**2.
3*t*(t - 2)*(t - 1)*(t + 91)
Factor -218441*p**2 + 1013*p - 2717*p - 1701 + 218438*p**2.
-3*(p + 1)*(p + 567)
Suppose 86*l = 19 - 19. Let o(x) be the third derivative of 0 - 13*x**2 + 0*x**3 + l*x - 1/60*x**5 + 1/72*x**4. Suppose o(p) = 0. Calculate p.
0, 1/3
Let k(l) be the third derivative of -l + 16/525*l**7 + 107/60*l**4 + 0 + 14/25*l**6 - 93/50*l**5 - 4/5*l**3 + 57*l**2. Find n such that k(n) = 0.
-12, 1/4, 1
Suppose -149*q + 179 = -148*q. Factor -33*t**4 - 3*t**5 + 179*t - 72*t**3 + 108*t**2 - q*t.
-3*t**2*(t - 1)*(t + 6)**2
Determine n, given that -131/5*n**3 - 1/5*n**4 + 132/5*n**2 + 0 + 0*n = 0.
-132, 0, 1
Suppose 4*r - u = 9, 5*r + 1324 - 1435 = -13*u. Solve -31/2*l**3 + 31/2*l - 957/8*l**2 + 961/8*l**r - 1/2 = 0.
-1, 2/31, 1
Let b(x) be the first derivative of 4*x**6 + 68*x**5/5 - 140*x**4 + 300*x**3 - 272*x**2 + 112*x - 1191. Let b(p) = 0. What is p?
-7, 1/2, 2/3, 1, 2
Let y(i) be the second derivative of i**7/525 - i**6/150 - i**5/150 + i**4/30 - 23*i**2/2 + 103*i. Let t(z) be the first derivative of y(z). Factor t(w).
2*w*(w - 2)*(w - 1)*(w + 1)/5
Let v(q) = -4*q**3 + 6*q**2 - 6. Let l(o) = -24 - 5*o - 11*o**3 + 3*o + 24*o**2 - 6*o**3 + o. Let n(c) = 4*l(c) - 18*v(c). Factor n(r).
4*(r - 3)*(r - 1)*(r + 1)
Let v(i) = 2*i**2 + 34*i + 133. Let d be v(-12). Let q be (-10 + d)/(3/30*21). Determine o so that -10/7*o**2 + 4/7 - 10/7*o**3 + 6/7*o**4 + q*o = 0.
-1, -1/3, 1, 2
Let l(o) be the second derivative of o**6/540 + o**5/180 + o**3/6 - o - 3. Let t(u) be the second derivative of l(u). Factor t(f).
2*f*(f + 1)/3
Suppose 3245*v - 88919*v**3 + 89051*v**3 - 8*v**4 - 65*v - 1108*v**2 - 2200 + 4*v**4 = 0. What is v?
1, 5, 22
Let t = 310/253 + -24/23. Let b = -202 + 205. Determine k, given that 0 - 4/11*k + t*k**2 + 2/11*k**b = 0.
-2, 0, 1
Let w(r) be the second derivative of -r**5/20 + 69*r**4/4 - 665*r**3/2 + 4925*r**2/2 - 34*r - 73. Determine g so that w(g) = 0.
5, 197
Let w(y) = 8*y**3 + 500*y**2 + 2136*y - 6796. Let j(r) = -r**3 - 71*r**2 - 305*r + 971. Let o(v) = -20*j(v) - 3*w(v). Let o(s) = 0. Calculate s.
-11, 2
Let b(h) be the first derivative of -2*h**3/39 - 180*h**2/13 - 16200*h/13 + 979. Factor b(s).
-2*(s + 90)**2/13
Let s(c) = -8*c + 12 + 4*c - 2 + 7. Let x be s(3). Factor 39 + 8*v**2 + 3*v**3 - v**4 - 2*v - v**x - 39 - 7*v**2.
-v*(v - 1)**2*(v + 1)*(v + 2)
Let m(i) = 1847*i + 450672. Let d be m(-244). Determine p, given that 5/2*p**5 + 20 - 25*p**2 - 10*p + 5/2*p**3 + 10*p**d = 0.
-2, 1
Suppose -4*x = -5*d + 35, -2*x + d - 1181 + 1174 = 0. What is y in 0*y**2 + 0 + x*y - 36/5*y**4 + 88/5*y**3 - 4/5*y**5 = 0?
-11, 0, 2
Let w be (-28)/70 + (-9)/(-4). Let o = 58/5 - w. Suppose -3/4*t**3 - 105/4*t + 147/4 - o*t**2 = 0. Calculate t.
-7, 1
Let v(h) = -h**3 + 4*h**2 + 4*h - 27. Let d be v(3). Let f be (-2)/4*0*(-5 - d). Determine n so that 4/3*n**4 + 5/6*n**5 + 0 + 0*n + f*n**2 + 1/2*n**3 = 0.
-1, -3/5, 0
Let s be 43/3 + 1 + (-30)/(-45). Let l(o) = o**2 + o. Let w(k) = 20*k**2 + 48*k + 28. Let n(q) = s*l(q) - w(q). What is h in n(h) = 0?
-7, -1
Let v(l) be the third derivative of l**6/90 - l**5/15 + l**3/6 - 34*l**2. Let k(u) be the first derivative of v(u). Factor k(g).
4*g*(g - 2)
Let b = 399138 + -798275/2. Factor -b*v**2 - 7/2*v + 4.
-(v - 1)*(v + 8)/2
Let w(b) = 4*b**3 - 4. Let x = 130 - 126. Let v(u) = 4*u**3 - u - 3. Let d(s) = x*v(s) - 3*w(s). Factor d(m).
4*m*(m - 1)*(m + 1)
Factor 2/5*i**3 + 1302/5*i - 2612/5 + 1308/5*i**2.
2*(i - 1)*(i + 2)*(i + 653)/5
Let t be (-173553)/(-451) + 3/(66/4). Factor 3*n**5 + 393 - 778 + 432*n**2 + t - 69*n**4 + 360*n**3.
3*n**2*(n - 12)**2*(n + 1)
Let u(j) be the first derivative of -5*j**6/12 - 3*j**5 + 5*j**4/4 + 40*j**3 + 355*j**2/4 + 75*j + 912. Solve u(q) = 0.
-5, -2, -1, 3
Let 2/7*l**2 - 48 - 34/7*l = 0. Calculate l.
-7, 24
Factor 0*o + 45/7*o**4 - 432/7*o**3 - 1/7*o**5 - 1728/7*o**2 + 0.
-o**2*(o - 24)**2*(o + 3)/7
Let b(c) be the second derivative of 9 - 4*c - 15/2*c**3 - 25/12*c**4 - 10*c**2. Find g such that b(g) = 0.
-1, -4/5
Let p(k) be the first derivative of k**5/5 + 3*k**4/4 - 28*k**3 + 136*k**2 - 192*k - 812. Solve p(f) = 0 for f.
-12, 1, 4
Let p(m) be the third derivative of 11/210*m**6 + 0*m**3 + 268*m**2 - 5/21*m**5 + 13/42*m**4 + 0 + 2/735*m**7 + 0*m. What is t in p(t) = 0?
-13, 0, 1
Let b(l) be the second derivative of l**6/600 + 7*l**5/100 + l**4/6 - 183*l**2/2 + 13*l + 4. Let q(g) be the first derivative of b(g). Factor q(m).
m*(m + 1)*(m + 20)/5
Suppose 12*w = -75*w - 19488. Let z = w - -228. What is o in -5/2*o**5 - 4*o**z + 0 - 3/2*o**3 + 0*o**2 + 0*o = 0?
-1, -3/5, 0
Factor 13/4*l + 1/8*l**2 - 13/4*l**3 - 1/8*l**4 + 0.
-l*(l - 1)*(l + 1)*(l + 26)/8
Factor 5/2*n**4 + 11*n - 1/2*n**3 - 4 - 1/2*n**5 - 17/2*n**2.
-(n - 4)*(n - 1)**3*(n + 2)/2
Suppose 292 + 508 = 10*r. Let g = r - 42. Let 15*s + 18*s**3 - g*s**2 + 33*s + 24*s - 50*s - 2 = 0. Calculate s.
1/9, 1
Let f(v) = 20*v**2 + 580*v - 352. Let a(c) = c**2 - c - 14. Let q(m) = -52*a(m) + 4*f(m). Solve q(s) = 0.
-85, 2/7
Find g, given that -6/7*g**2 - 1884/7 + 954/7*g = 0.
2, 157
Let x(u) be the second derivative of -u**5/5 + 310*u**4/3 + 1246*u**3/3 + 624*u**2 + 381*u. Factor x(o).
-4*(o - 312)*(o + 1)**2
Let u be (-14)/90 - (-1875)/3125. Factor -u*y + 26/9*y**2 + 0.
2*y*(13*y - 2)/9
Let q(i) be the first derivative of -9 + 0*i - 34/15*i**3 - 2/5*i**2. Factor q(g).
-2*g*(17*g + 2)/5
Find q such that 0 - 50/3*q**5 + 145*q**4 - 40*q**2 - 265/3*q**3 + 0*q = 0.
-3/10, 0, 1, 8
Suppose 5*h + 5*u = 25, 6 = -5*u + 11. Suppose h*k + 37 = 5*v + 35, 0 = v - k. Determine m, given that -2/3*m + 0*m**3 + 2/3*m**5 + 4/3*m**v + 0 - 4/3*m**4 = 0.
-1, 0, 1
Let n = -699 - -721. Factor -20*d - 59 - 16*d - n - 1848*d**2 + 1845*d**2.
-3*(d + 3)*(d + 9)
Factor 22338 - 95*p + p**2 + 214*p - 21914 + 306*p.
(p + 1)*(p + 424)
Find v, given that 0*v + 36*v**2 + 19*v + 7*v**3 - 11*v**3 - 4*v**4 + 17*v = 0.
-3, -1, 0, 3
Suppose 709 = 9*a - 911. Factor 9 - a*k**4 + 182*k**4 + 95*k + 114*k**2 + 27 + 15*k + 42*k**3.
2*(k + 1)**3*(k + 18)
Let c = -2/2343 + 14068/11715. Factor c*n - 1 - 1/5*n**2.
-(n - 5)*(n - 1)/5
Let l b