9*y**2. Let b(l) = 16*l**3 - 14*l**3 - 5*l**3 - 9*l**2. Let q(d) = -7*b(d) + 3*n(d). Factor q(x).
3*x**2*(x + 2)
Factor 441*q**2 - 231*q**2 + 45 - 205*q**2 + 20 + 46*q + 24*q.
5*(q + 1)*(q + 13)
Let m = 50 + -55. Let w(y) = -4*y**4 + 6*y**3 - y**2 - 5*y. Let x(d) = d**4 - d**3 - d**2 + d. Let p(k) = m*x(k) - w(k). Factor p(q).
-q**2*(q - 2)*(q + 3)
Let p be (10 - (-544)/(-51))/(-10). Let q(w) be the third derivative of 2/3*w**4 - p*w**5 - 12*w**2 + 0*w + 0 - 2*w**3. Factor q(j).
-4*(j - 3)*(j - 1)
Let u(a) = -3*a**2 - 588*a + 1191. Let n(t) = -9*t**2 - 1763*t + 3572. Let q(f) = -3*n(f) + 10*u(f). Factor q(x).
-3*(x - 2)*(x + 199)
Let k = -4573 + 22867/5. Let r be (-27)/30 + (-24)/(-16) - -3. Factor -38/5*h - k*h**3 - r - 22/5*h**2.
-2*(h + 1)**2*(h + 9)/5
Let h be 85*((-288)/(-66) + 7). Let f = 966 - h. Factor -1/11*v - 6/11 + f*v**2.
(v - 3)*(v + 2)/11
What is l in 0 - 848/3*l**2 + 0*l - 4/3*l**3 = 0?
-212, 0
Let d(k) = -6*k**2 + 98*k - 108. Let b(g) = -2*g**2 + 33*g - 36. Let a be 1/4 + (-909)/36 + 9. Let n(t) = a*b(t) + 5*d(t). Factor n(u).
2*(u - 18)*(u - 1)
Let y(c) = -39*c**2 + 609*c - 2208. Let o(d) = 9*d**2 - 152*d + 552. Let k(r) = -9*o(r) - 2*y(r). Factor k(b).
-3*(b - 46)*(b - 4)
Let r(m) be the first derivative of -18/11*m**3 + 0*m + 26/11*m**2 + 86 + 1/22*m**4. Factor r(h).
2*h*(h - 26)*(h - 1)/11
Determine g so that -27/7*g**4 + 0*g + 0 + 24*g**2 + 18/7*g**3 + 3/7*g**5 = 0.
-2, 0, 4, 7
Let y be 564/14 - (110/(-77))/(-5). Suppose 67*h**4 + 15*h**5 - 66*h**3 - y*h**4 - 12*h + 9*h + 36*h**2 - 36*h**4 + 27*h = 0. Calculate h.
-2, -2/5, 0, 1, 2
Let o = 3232 - 3228. Let c(x) be the first derivative of -3/4*x**o - 1/3*x**5 - 7/9*x**3 - 1/18*x**6 + 0*x + 14 - 1/3*x**2. Factor c(w).
-w*(w + 1)**3*(w + 2)/3
Let f = -176463/4 + 1236441/28. Factor 3/7*x**2 + 7500/7 - f*x.
3*(x - 50)**2/7
Let 13/5*k**3 - 2/5*k**4 - 27/5*k - 2/5*k**2 + 18/5 = 0. What is k?
-3/2, 1, 6
Suppose 24528 = 6*z + 24516. Factor -16/11*k**z + 10/11*k + 100/11 + 2/11*k**3.
2*(k - 5)**2*(k + 2)/11
Suppose -8*w + 6*w = -4*r - 2664, 2*w = 2*r + 2660. Suppose 4*p - 1340 = -w. Determine j, given that -8/15*j + 2/15*j**p + 0 + 0*j**2 = 0.
-2, 0, 2
Factor u - 3/4*u**3 + 0 + 0*u**2 - 1/4*u**4.
-u*(u - 1)*(u + 2)**2/4
What is c in 64*c**4 - 320*c + 595*c**2 - 118*c**3 + 1189*c**2 + 36*c**5 - 543*c**3 - 903*c**3 = 0?
-8, 0, 2/9, 1, 5
Suppose 951*c - 228*c**2 - 951*c + c**3 + 3*c**3 = 0. Calculate c.
0, 57
Let d(o) = -3*o**3 + 127*o**2 - 668*o + 832. Let l(m) = -5*m**3 + 250*m**2 - 1335*m + 1660. Let b(c) = 5*d(c) - 2*l(c). Factor b(g).
-5*(g - 21)*(g - 4)*(g - 2)
Let n(v) be the first derivative of v**4/60 + 16*v**3/5 + 1152*v**2/5 + 171*v - 204. Let c(x) be the first derivative of n(x). Find q such that c(q) = 0.
-48
Suppose 6*f + 104 = -5*l, 212*f = 4*l + 210*f - 46. Solve -1/6*y**3 - 4225/6*y + 0 + 65/3*y**l = 0.
0, 65
Let j = 206 + -202. Let b = -3628 + 3633. Factor -k**3 - 1/6*k**b + 2/3*k**j - 1/6*k + 0 + 2/3*k**2.
-k*(k - 1)**4/6
Let l(q) be the third derivative of -1/30*q**6 + 4*q**2 - 4*q + 3/5*q**5 - 5/2*q**4 - 50/3*q**3 + 0. Solve l(y) = 0.
-1, 5
Let r = 4/860557 + 63681198/4302785. Factor -76/5 + 2/5*p**2 + r*p.
2*(p - 1)*(p + 38)/5
Let r(y) = -25*y**2 - 653*y + 5317. Let o(j) = -7*j**2 - 163*j + 1329. Let l(d) = -22*o(d) + 6*r(d). Find s such that l(s) = 0.
9, 74
Let l(z) = -2*z**3 - z**2 - 57*z. Let d(y) = 5*y**3 - 18*y**2 + 173*y. Let o(f) = 3*d(f) + 8*l(f). Factor o(p).
-p*(p - 1)*(p + 63)
Let o(i) be the third derivative of 1/3*i**3 + 0 + 1/36*i**4 - 86*i**2 - 1/360*i**5 + 0*i. Factor o(t).
-(t - 6)*(t + 2)/6
Suppose -366*c + 368*c = -o - 10, -4*o - 70 = -2*c. Factor 11/3*y**2 - 1/3*y**4 + 4*y - 2/3*y**c - 12.
-(y - 2)**2*(y + 3)**2/3
Suppose 5*t - 1492 = -2*d - 1446, -4*t + 17 = -5*d. Factor 5*h**2 - 5 + 1/2*h - 1/2*h**d.
-(h - 10)*(h - 1)*(h + 1)/2
Let i be (-3213)/(-833) + -2 + (-60)/(-28). Let b(k) be the first derivative of -1/2*k**i + 11 + 0*k**2 + 0*k**3 + 0*k + 9/5*k**5. Find s such that b(s) = 0.
0, 2/9
Let u = -1763822 - -22916040/13. Let r = u - -1050. Find n such that -4/13*n**2 - 2/13*n**3 + r*n**4 + 2/13*n + 0 = 0.
-1, 0, 1/2, 1
Factor 59/3*w + 83/3*w**2 + 4/3*w**3 - 20/3.
(w + 1)*(w + 20)*(4*w - 1)/3
Factor 6*p**2 + 113/4*p + 45/2 + 1/4*p**3.
(p + 1)*(p + 5)*(p + 18)/4
Let h(f) be the third derivative of -3/220*f**5 - 120*f**2 + 1/1320*f**6 + 0 + 0*f + 25/66*f**3 + 5/88*f**4. Determine y so that h(y) = 0.
-1, 5
Let o(x) be the first derivative of 11/10*x**2 - 1/15*x**3 + 38 - 24/5*x. Factor o(n).
-(n - 8)*(n - 3)/5
Let r(k) be the first derivative of 20*k**6/3 + 158*k**5/35 - 29*k**4/14 - 20*k**3/21 - 1648. Solve r(f) = 0 for f.
-5/7, -1/4, 0, 2/5
Solve 397/4*y**2 - 217/2*y + 25/4*y**4 + 43 - 1/8*y**5 - 319/8*y**3 = 0 for y.
1, 2, 43
Let t(c) be the first derivative of 20*c**3/3 - 125*c**2/2 + 30*c - 395. Determine x so that t(x) = 0.
1/4, 6
Suppose 47 = -19*w + 85. Let h = 2147 + -2147. Suppose -4/3*l**w + 0*l - 10/9*l**3 + h - 2/9*l**4 = 0. Calculate l.
-3, -2, 0
Let u(x) be the second derivative of -2*x**6/15 - 21*x**5 + 108*x**4 + 4468*x. Factor u(p).
-4*p**2*(p - 3)*(p + 108)
Let -9/2*y**3 + 5/6*y**4 + 81/2*y - 23/6*y**2 - 33 = 0. What is y?
-3, 1, 3, 22/5
Let i = 2643 + -2648. Let s = 36 + -21. Let n(d) = -d**3 - d**2 - 3*d + 3. Let o(u) = -u**2 - u + 1. Let z(r) = i*n(r) + s*o(r). Determine q so that z(q) = 0.
0, 2
Let v(c) be the first derivative of -2*c**5/45 - 4*c**4/3 + 104*c**3/27 + 1003. Factor v(o).
-2*o**2*(o - 2)*(o + 26)/9
Let d(r) = -r**2 - 9*r - 18. Suppose 5*i + 12*a = 8*a + 1, 0 = 2*a - 8. Let k be d(i). Factor 5/2*s**2 + 0*s - 5/2*s**4 + 5/2*s**5 + k - 5/2*s**3.
5*s**2*(s - 1)**2*(s + 1)/2
Let p(s) be the second derivative of -s**7/12 + s**6/5 + 11*s**5/5 - 4*s**4/3 - 20*s**3 - 16*s**2 + 80*s. Determine v, given that p(v) = 0.
-2, -2/7, 2, 4
Let f(h) = 47*h**2 + 352*h + 2510. Let g(t) = -21*t**2 - 177*t - 1254. Let z(q) = 4*f(q) + 9*g(q). Factor z(j).
-(j + 7)*(j + 178)
Determine x, given that -60*x**4 - 63*x**4 + 1443*x**2 + 1799276 + 191520*x + 1813*x**2 + 124*x**4 - 211676 - 152*x**3 = 0.
-14, 90
Let h(r) be the first derivative of -r**3 - 498*r**2 + 999*r - 1162. Factor h(z).
-3*(z - 1)*(z + 333)
Suppose -430 = -0*t - 2*t. Suppose 4*a = -4*d + 156, 5*d + 2*a - t = 7*a. Factor 32*o + 41*o**2 - d*o**2 - 37*o**2 - 67*o**2 - 28*o**3.
-4*o*(o + 4)*(7*o - 2)
Factor 15*s**3 - 33*s**3 - 5*s**5 + 0*s**5 - 22*s**3 + 418*s**4 - 448*s**4.
-5*s**3*(s + 2)*(s + 4)
Let d(k) be the first derivative of -k**6/30 - k**5/6 + 23*k**4/96 - k**3/8 + 31*k**2 - 21. Let y(a) be the second derivative of d(a). Factor y(l).
-(l + 3)*(4*l - 1)**2/4
Let x = 348 - 344. Solve -3 - 6*m**2 - 11*m**4 + 40*m**4 - 18*m**4 + 8*m - 10*m**x = 0 for m.
-3, 1
Suppose -6*o - 2 = -164. Let y(b) = b**2 - 3*b - 20. Let h(u) = 12*u**2 - 39*u - 261. Let g(i) = o*y(i) - 2*h(i). Solve g(k) = 0.
-2, 3
Factor 1058 - 46*v + 1/2*v**2.
(v - 46)**2/2
Let n(v) = v**3 - 29*v**2 - 29*v + 22. Let w be n(30). Suppose l = -w*l + 106. Factor 2/9*d**3 + 2/9 - 2/9*d**l - 2/9*d.
2*(d - 1)**2*(d + 1)/9
Let i be 123/(-246)*((-8 - -1) + 372/60). Find b, given that -i*b**5 - 4/5*b**3 + 4/5*b**2 + 6/5*b - 6/5*b**4 + 2/5 = 0.
-1, 1
Let g(b) = -22*b**2 - 1038*b - 386. Let c(v) = 155*v**2 + 7265*v + 2710. Let a(w) = -3*c(w) - 20*g(w). Find r, given that a(r) = 0.
-41, -2/5
Let m(x) = -147*x**2 + 4047*x - 36. Let k(d) = 16*d**2 + d + 4. Let c(f) = -9*k(f) - m(f). Determine q so that c(q) = 0.
0, 1352
Let f(q) = -10*q**2 + 62*q + 17. Let z(m) = -51*m**2 + 309*m + 84. Suppose 0 = -2*n + 3*s - 51, -n + 6*s = 3*s + 27. Let v(p) = n*f(p) + 5*z(p). Factor v(c).
-3*(c - 4)*(5*c + 1)
Let s = -65 + 68. Suppose -w + 4*w = 4*k - s, -3*w = -3*k. Suppose -5*u - 8*u**3 + 3*u**w + 5*u + 5*u = 0. Calculate u.
-1, 0, 1
Let q(a) be the third derivative of -21*a**7/40 + 91*a**6/16 + 2579*a**5/240 - 47*a**4/8 + 7*a**3/6 + 42*a**2 - 2. Suppose q(j) = 0. Calculate j.
-1, 2/21, 7
Suppose 2*o + 2*g + 2 = 0, 3*g = -2*o - 15 + 12. Let m be o/(10/(-90)*-9). Let 0*i + m + 3/4*i**2 - 3/4*i**3 = 0. Calculate i.
0, 1
Let f = 337 - 333. Suppose 3*g**3 - 2134*g**f + 2139*g**4 + 2*g**3 = 0. What is g?
-1, 0
Let v(s) = -44*s - 28. Let j be v(-1). Let r = 82/5 - j. Solve 0*u + 2/5*u**4 + 1/5*u**3 + 0 - r*u**2 - 1/5*u**5 = 0.
-1,