first derivative of -208*g**3/3 + 1350*g**2 + 52*g - 10316. Factor x(s).
-4*(s - 13)*(52*s + 1)
Suppose f - 3*p = -7, -2*f + 31*p = 28*p + 5. Suppose 82506 + 2*z**4 + 32000*z + 2400*z**2 + 77494 + z**4 - f*z**4 + 80*z**3 = 0. What is z?
-20
Suppose -7*g - 2*p = -28 + 7, -9 = -3*g - 4*p. Find t such that -4*t**g - 45*t**5 - t**3 - 5*t**2 + 80*t**4 - 5*t**2 - 21*t**3 + t**3 = 0.
-2/9, 0, 1
Let x(l) be the third derivative of -l**5/12 + 305*l**4/3 + 2450*l**3/3 - l**2 + 280*l. Solve x(m) = 0.
-2, 490
Let -7869*f - 25797*f - 2*f**3 - 19328 + 0*f**3 - 28104 - 13150*f + 614*f**2 = 0. Calculate f.
-1, 154
Let j(m) be the second derivative of 3*m - 3/5*m**5 - 3/5*m**6 + 11/6*m**4 + 14 - 4*m**2 + 4/3*m**3. Solve j(p) = 0.
-1, 2/3
Factor -5*n**2 - 4/3 - 6*n - 7/6*n**3.
-(n + 2)**2*(7*n + 2)/6
Let v = -78843 - -867275/11. What is c in 28/11*c**2 + 0*c + 0 - v*c**3 = 0?
0, 14
Let m(j) = -8*j**4 - 57*j**3 - 90*j**2 - 3*j + 6. Let x(l) = 16*l**4 + 115*l**3 + 180*l**2 + 7*l - 14. Let z(k) = 7*m(k) + 3*x(k). Factor z(v).
-2*v**2*(v + 3)*(4*v + 15)
Let s = -474395 + 474397. Let 0 + 1/7*b**3 + 10/7*b**s + 24/7*b = 0. What is b?
-6, -4, 0
Let -2/7*o**3 - 32400/7 - 2610/7*o + 164/7*o**2 = 0. Calculate o.
-8, 45
Suppose -482 = -5*f - 452. Determine k so that -2*k**2 - 2*k**3 + 0*k**3 - f*k**2 + 12*k + 2*k**2 - 4*k**2 = 0.
-6, 0, 1
Suppose -682276/3 - 1652/3*c - 1/3*c**2 = 0. Calculate c.
-826
Let w(b) be the first derivative of b**3/3 + 367*b**2/2 + 1452*b + 852. Factor w(k).
(k + 4)*(k + 363)
Find k such that -87*k + 20*k - 2*k - 2*k**2 + 3*k**2 + 187 - 119*k = 0.
1, 187
Solve -17280*p**2 - 225*p**3 - 306*p**3 + 737280*p + 666*p**3 - 10485760 = 0.
128/3
Let w(r) = -26177*r + 287949. Let o be w(11). Solve 30/7*k + 29/7 + 1/7*k**o = 0.
-29, -1
Let u(r) be the first derivative of 2*r**3/15 - 41*r**2/5 - 84*r/5 + 1465. Factor u(t).
2*(t - 42)*(t + 1)/5
Suppose 5*j + 58 = 198. Suppose -172*s - 431*s + j - 23*s**3 + 16*s**3 + 128*s**2 + 134 = 0. What is s?
2/7, 9
Let z(p) be the second derivative of p**7/105 - 11*p**6/75 + 3*p**5/25 + 79*p**4/15 - 7*p**3/15 - 147*p**2/5 - 4847*p - 1. Let z(b) = 0. Calculate b.
-3, -1, 1, 7
Let o(n) be the first derivative of -n**6/4 + 393*n**5/10 - 945*n**4/4 + 1231. Let o(c) = 0. Calculate c.
0, 5, 126
Let s(k) be the third derivative of -2*k**2 - 13/24*k**6 + 0 + 245/24*k**4 - 11*k + 1/42*k**7 + 35/12*k**5 + 0*k**3. Solve s(o) = 0 for o.
-1, 0, 7
Suppose 8*q + 58*q + 7 = 139. Determine p, given that 2/3*p**q + 16 + 50/3*p = 0.
-24, -1
Let b(f) be the second derivative of -5*f**7/42 + 25*f**6/3 - 232*f**5 + 9760*f**4/3 - 71680*f**3/3 + 81920*f**2 - 152*f. Suppose b(q) = 0. What is q?
2, 8, 16
Let p(t) be the second derivative of t**5/20 - 5*t**4/4 - 17*t**3/6 + 9*t**2 + 26*t. Let l be p(16). Factor 2*d**2 - 2*d**2 - 8*d - 2*d**l.
-2*d*(d + 4)
Let y(f) = -f**2 + f. Suppose 2*g = -4*l + 6*g - 44, 0 = 2*l - 5*g + 37. Let n = 0 + l. Let k(s) = -11*s**2 + 6*s. Let q(c) = n*y(c) + k(c). Factor q(i).
-5*i**2
Suppose 11 = -2*w + 3*j, -2*w = -5*j + j + 16. Let r(g) be the first derivative of 12*g**w + 12*g + 3/4*g**4 + 3 + 5*g**3. Find x such that r(x) = 0.
-2, -1
Suppose 456*q - 45 = 461*q - 5*u, -4*q = -u - 3. Find s, given that 0 + 0*s**2 + 0*s + 2/9*s**q + 1/9*s**5 + 1/9*s**3 = 0.
-1, 0
Suppose -18*u - 243 - 1 = 4*g, 3*u = 4*g - 50. Find y, given that -69/2*y**g - 9*y - 26*y**3 + 4 - 9/2*y**4 = 0.
-4, -1, 2/9
Let u(r) be the third derivative of 0*r - 1/40*r**5 - 2*r**3 + 0 - 3/8*r**4 + 3*r**2. Factor u(b).
-3*(b + 2)*(b + 4)/2
Factor -38 - 1/2*g**3 - 15/2*g**2 + 36*g.
-(g - 2)**2*(g + 19)/2
Let c(s) be the first derivative of 4*s**5/5 - 4*s**4 + 20*s**3/3 - 4*s**2 - 3752. Factor c(r).
4*r*(r - 2)*(r - 1)**2
Factor 0 - 57/5*i**2 - i.
-i*(57*i + 5)/5
Let h(b) be the first derivative of -70/3*b**3 - 92 - 15/4*b**4 + 0*b - 20*b**2. Factor h(n).
-5*n*(n + 4)*(3*n + 2)
Suppose -5*t - h - 266 = 0, -4*t = -3*h - 2*h + 236. Let i = t + 155. What is a in -65*a + 20*a + 50 + 12*a**2 - 102*a**3 + i*a**3 = 0?
2, 5
Let d = 35111 - 35105. Let b(r) be the first derivative of -12/13*r**2 + 0*r + 40/39*r**3 - 36/65*r**5 + 5/39*r**d - 22 + 9/26*r**4. Find h such that b(h) = 0.
-1, 0, 3/5, 2
Determine c so that 132/7 - 10/7*c - 2/7*c**3 - 24/7*c**2 = 0.
-11, -3, 2
Suppose 3*b = -15, 17172 - 17152 = -4*q - 4*b. Let 2*n**2 - 4/5*n + q = 0. What is n?
0, 2/5
Let n(j) = -11*j**3 + 35*j**2 - 32*j - 10. Let x(m) = m**3 + 3. Let c(y) = 5*n(y) + 10*x(y). Factor c(q).
-5*(q - 2)**2*(9*q + 1)
Let b = -677 + 655. Let z = b + 22. Factor 10/21*u**3 + 2/21*u**4 + 2/3*u**2 + z + 2/7*u.
2*u*(u + 1)**2*(u + 3)/21
Let i(m) be the third derivative of -m**7/525 - m**6/100 + 7*m**5/150 + 9*m**4/20 + 6*m**3/5 - 5629*m**2. Suppose i(q) = 0. Calculate q.
-3, -2, -1, 3
Let f = 138 + -274. Let z be (-2 - 1)/((-130)/f - 1). Factor -z*g**3 + 2*g**2 + 58*g**3 - 7*g**2 - 20*g**5 + 35*g**4.
-5*g**2*(g - 1)**2*(4*g + 1)
Let g(h) be the first derivative of -2*h**3/3 - 3187*h**2/4 - 1194*h + 6554. Find u such that g(u) = 0.
-796, -3/4
Solve 40/13*d**2 + 0 - 40/13*d**4 + 168/13*d - 2/13*d**5 - 166/13*d**3 = 0.
-14, -6, -1, 0, 1
Solve 117329 + 2*k**2 + 1307*k + 529*k - 65702 + 229281 + k**2 = 0 for k.
-306
Let n(p) be the third derivative of p**6/600 - p**5/25 - p**4/8 + 13*p**3/15 + 620*p**2 - 4*p + 1. What is i in n(i) = 0?
-2, 1, 13
Let 4*k**5 + 1196*k**3 + 2400*k + 193093*k**2 - 140*k**4 - 99785*k**2 - 96768*k**2 = 0. Calculate k.
0, 1, 5, 24
Let b(r) be the second derivative of -258*r - 5/2*r**4 + 15/2*r**3 + 0 + 1/4*r**5 - 10*r**2. Factor b(h).
5*(h - 4)*(h - 1)**2
Determine k, given that 2/11*k**2 - 20/11*k + 32/11 = 0.
2, 8
Factor -5 + 1412*o**3 - 710*o**3 - 158*o**2 - 704*o**3 + 5 + 160*o.
-2*o*(o - 1)*(o + 80)
Let u(r) = -3*r**2 - 382*r + 83608. Let p be u(115). Factor 0 - 6/17*l**2 - 8/17*l**p + 2/17*l.
-2*l*(l + 1)*(4*l - 1)/17
Let h = -27/2155 - -17321/6465. Factor -4*b - h*b**2 - 4/3.
-4*(b + 1)*(2*b + 1)/3
Let i(m) be the second derivative of m**4/20 - m**3 + 63*m**2/10 - 762*m. Solve i(z) = 0 for z.
3, 7
Factor 29*x**2 - 46*x**2 - 178*x + 19*x**2 - 180.
2*(x - 90)*(x + 1)
Solve -84 - 243/2*y**2 + 15/2*y**4 - 13/2*y**3 - 191*y - 1/2*y**5 = 0.
-2, -1, 7, 12
Let u = -1357028 + 2714101/2. Factor 5/4*q**3 + 35/4*q - u + 25/2*q**2.
5*(q - 1)*(q + 2)*(q + 9)/4
Let t = 161321 + -161319. What is f in -2/9*f**t + 4/3 + 2/9*f = 0?
-2, 3
Let d(i) be the first derivative of -4/15*i**3 - 1/30*i**4 + 0*i + 118 - 1/3*i**2. Find b, given that d(b) = 0.
-5, -1, 0
Suppose 5*w + u = -1, 27*w - 26*w - 57 = 5*u. Find d, given that 14/17 - 8/17*d**w + 54/17*d = 0.
-1/4, 7
Let t(l) = -7*l - 51. Suppose 0 = 4*q + 110 - 78. Let r be t(q). Factor 0*x + 0 + 1/11*x**2 - 3/11*x**r - 5/11*x**4 - 1/11*x**3.
-x**2*(x + 1)**2*(3*x - 1)/11
Let m(j) = 444*j**2 - 8222*j + 8218. Let g(k) = 356*k**2 - 8224*k + 8220. Let i(z) = 5*g(z) - 4*m(z). Factor i(s).
4*(s - 2057)*(s - 1)
Let n(b) be the second derivative of -b**7/21 + 214*b**6/15 - 7142*b**5/5 + 155060*b**4/3 - 2723200*b**3/3 + 8464000*b**2 - 646*b - 2. Factor n(i).
-2*(i - 92)**2*(i - 10)**3
Let j(t) = -2*t**3 - 7*t**2 - 5*t - 1. Let y be j(-6). Suppose -y + 215 = 3*l. Let -4/5 + l*x + 32/5*x**2 + 18/5*x**3 = 0. Calculate x.
-1, 2/9
Let a(f) = f**2 + 13*f + 39. Let j be a(-8). Let i be ((-3)/(-6) + 1)/(j/(-2)). Factor -11*r**2 + 3*r**5 + 14*r**2 + 2*r**i + 7*r**3 + 9*r**4.
3*r**2*(r + 1)**3
Factor 38996*u**3 - 19505*u**3 - 19493*u**3 + 32*u.
-2*u*(u - 4)*(u + 4)
Let c = 404 - 355. Determine z so that -98*z - 36*z**2 - 53*z**3 + c*z**3 + 2*z - 64 = 0.
-4, -1
Suppose -3396*w - 418 = -1803*w - 1802*w. Solve 6 + 25/3*g - 1/3*g**3 + 2*g**w = 0.
-2, -1, 9
Let k(x) be the third derivative of 1967*x**5/15 + 274*x**4/3 - 8*x**3/3 - 20*x**2 - 9. Find v such that k(v) = 0.
-2/7, 2/281
Let d(o) be the second derivative of o**5/230 + 8*o**4/23 - 103*o**3/69 - 150*o**2/23 + 1086*o. Suppose d(n) = 0. Calculate n.
-50, -1, 3
Let t(u) be the second derivative of u**8/336 - 2*u**7/105 + u**6/24 - u**5/30 - 39*u**2 - 2*u + 32. Let o(p) be the first derivative of t(p). Factor o(c).
c**2*(c - 2)*(c - 1)**2
Factor 0*s + 784/3*s**2 + 0 - 132*s**3 + 2/3*s**4.
2*s**2*(s - 196)*(s - 2)/3
Let r(q) = 22*q**5 + 754*q**4 - 376*q**3 - 370*q**2 + 10. Let f(w) = -3*w**5 + w**4 - w**2 - 1