e -36*m + 4*m**3 - 16*m**3 + 11*m**v + 3*m**2 + 4*m**3 = 0. What is m?
-4, 0, 3
Let u be 0 - 63/(-7) - (6 - 0 - -1). Let o(d) be the second derivative of 2*d**u - 1/12*d**4 - d + 0 - 1/2*d**3. Factor o(t).
-(t - 1)*(t + 4)
Let k(d) be the third derivative of 0*d + 1/180*d**6 + 4096/9*d**3 + 0 + 64/3*d**4 - 61*d**2 + 8/15*d**5. Suppose k(i) = 0. Calculate i.
-16
Let z(u) = u**2 - 691*u + 7. Let t(x) = x**2 - 231*x + 2. Suppose -3*w + b + 2*b = -36, -2*w - 6 = 4*b. Let q(n) = w*t(n) - 2*z(n). Factor q(i).
5*i*(i - 47)
Let u(i) be the second derivative of 3887/30*i**3 - 1/210*i**7 + 37/150*i**6 + 2197/10*i**2 - 43/10*i**5 - 2 + 611/30*i**4 + 44*i. Factor u(o).
-(o - 13)**3*(o + 1)**2/5
Let t(d) be the first derivative of -6*d**4 + 49*d**3 + 183*d**2 - 48*d + 2269. Factor t(g).
-3*(g - 8)*(g + 2)*(8*g - 1)
Factor -3072*a + 12*a**3 + 16384 + 1/4*a**4 + 16*a**2.
(a - 8)**2*(a + 32)**2/4
Let u = -905/798 - -22/19. Let o = u - -9/14. Factor -1/2*r**3 + 1/6*r**5 + o*r - 1/3*r**4 + 0 + 2/3*r**2.
r*(r - 2)**2*(r + 1)**2/6
Find v, given that -16*v**2 + 2*v**5 - 4 - 14*v + 0*v**5 - 922149*v**4 + 922153*v**4 - 4*v**3 = 0.
-1, 2
Let g(j) be the third derivative of -2*j**3 + 0*j - 2/105*j**7 - 5/3*j**4 - 84*j**2 - 4/5*j**5 - 1/5*j**6 + 0. Factor g(p).
-4*(p + 1)**3*(p + 3)
Find u such that -14*u - 2/5*u**2 + 0 = 0.
-35, 0
Let l(z) = -z**2 + z. Let k be ((-4)/(-1))/(-9 - -10). Let y(h) = 10*h**2 - 30*h. Let p(q) = k*y(q) + 36*l(q). Suppose p(w) = 0. Calculate w.
0, 21
Let d(x) be the second derivative of -x**5/5 + 19*x**4/3 - 224*x**3/3 + 384*x**2 - 2*x - 14. Factor d(r).
-4*(r - 8)**2*(r - 3)
Let m(z) be the first derivative of -z**5/12 + 11*z**4/24 - 106*z**2 + 60. Let j(t) be the second derivative of m(t). Factor j(i).
-i*(5*i - 11)
Find g such that 48*g**2 - 148/3*g + 148/3*g**3 + 2/3*g**4 - 146/3 = 0.
-73, -1, 1
Let d(t) be the second derivative of -t**6/195 - 24*t**5/65 + t**4/26 + 142*t**3/39 - 96*t**2/13 + t - 2458. Find j, given that d(j) = 0.
-48, -2, 1
Let m = -2309 + 2330. Suppose 0 = 43*x - m*x - 66. Suppose -198/7*l - 54/7 - 12*l**2 - 6/7*l**5 + 10/7*l**4 + 76/7*l**x = 0. Calculate l.
-3, -1, -1/3, 3
Let u be (4/(-6))/((-35)/(-36) - 1). Let a = -19 - -43. Determine t so that -3*t**3 + 4*t**4 + a - 16*t**2 - u + 32*t - 5*t**3 = 0.
-2, 0, 2
Let n(o) = -11*o - 29. Let k be n(-8). Suppose 3*i + 32 - k = 0. Solve i*a + 2*a**2 - 10*a + 3*a = 0.
-1, 0
Let t(h) be the second derivative of 124 - 40/9*h**3 - 1/90*h**5 + 23/54*h**4 - 16*h**2 - h. Find p, given that t(p) = 0.
-1, 12
Let t(a) = a**2 - 222*a - 432. Let y(g) = -5*g**2 + 1335*g + 2590. Let f(n) = 25*t(n) + 4*y(n). Factor f(b).
5*(b - 44)*(b + 2)
Let w(i) = -i**2 + 2*i - 7. Let y(m) = -14*m**2 + 2762*m - 1871515. Let k(d) = -26*w(d) + 2*y(d). Let k(u) = 0. Calculate u.
1368
Factor 0*q + 0 + 2/17*q**3 - 22/17*q**2.
2*q**2*(q - 11)/17
Let p(y) = 4*y + 50. Let t be p(-12). Factor 8*z**2 - 579 - 9*z**t - 677 - 96*z - 1048.
-(z + 48)**2
Let x(g) be the first derivative of g**4/4 + 10*g**3/3 - 5*g**2 + 13*g - 16. Let n be x(-11). Factor n*s**2 + 24*s + 7 + 20 + 36 + 9.
2*(s + 6)**2
Let r = 2324/17 - 11518/85. What is i in 2/5*i**2 - 4/5*i - r = 0?
-1, 3
Factor 20/7 - 29/7*p - 1/7*p**3 + 10/7*p**2.
-(p - 5)*(p - 4)*(p - 1)/7
Let r(l) = l + 12. Let g be r(-7). Find h, given that h**g - 32*h**4 + 14*h**4 + h**3 + 20*h**4 = 0.
-1, 0
Suppose 2*x = 30 - 62. Let n be (93/310)/((-2)/x). Factor -6/5*q - 3*q**2 - n*q**3 - 3/5*q**4 + 0.
-3*q*(q + 1)**2*(q + 2)/5
Let f be 12*(-2)/44*(-44)/12. Find z such that 20/7*z - 8/7*z**3 - 2/7*z**f + 2 = 0.
-1, 7/4
Let j(l) be the third derivative of l**5/60 - 7*l**4/24 + 2*l**3 - 11*l**2. Let b be j(5). Factor 2*u**3 - 3 - 9*u**b - u**3 + 9*u + 2*u**3.
3*(u - 1)**3
Let c(g) = g**4 + 24*g**3 - 5*g**2 - 24*g + 2. Let o(f) = f**4 + 6*f**3 + 2*f**2 - f + 1. Let u(m) = -c(m) + 2*o(m). Find p, given that u(p) = 0.
-1, 0, 2, 11
Let v(b) be the second derivative of b**6/10 + 9*b**5/2 + 253*b**4/4 + 210*b**3 + 294*b**2 - 21*b. Factor v(w).
3*(w + 1)**2*(w + 14)**2
Let x(h) be the first derivative of -h**4 - 196*h**3/3 + 104*h**2 + 400*h + 1021. Find q, given that x(q) = 0.
-50, -1, 2
Let k(x) = -19*x**4 + 89*x**3 - 261*x**2 - 341*x + 4. Let y(l) = -42*l**4 + 180*l**3 - 522*l**2 - 681*l + 9. Let f(r) = 9*k(r) - 4*y(r). Factor f(p).
-3*p*(p - 23)*(p - 5)*(p + 1)
Factor 0*h - 2/7*h**4 + 0*h**2 + 0 - 520/7*h**3.
-2*h**3*(h + 260)/7
Suppose -33*k - 12 = -31*k. Let o be (-1 - 4/k)/(324/(-1944)). Factor 2/9*t**o - 32/9*t + 128/9.
2*(t - 8)**2/9
Let i = 3525 - 3523. Factor -1/6*g + 1/6*g**3 - 3/2 + 3/2*g**i.
(g - 1)*(g + 1)*(g + 9)/6
Let x(m) be the third derivative of m**6/24 - 323*m**5/12 - 815*m**4/12 + 540*m**3 - 2467*m**2. Solve x(y) = 0.
-2, 1, 324
Find k such that -261362*k**2 - 2 + 237169*k**3 + 158*k - 421377*k**2 + 209375*k**2 - 47*k - 2058*k = 0.
-1/487, 2
Factor 650 - 29*i**3 - 30*i**2 - 985*i + 122*i**2 + 1286 + 27*i**3 - 159*i.
-2*(i - 22)**2*(i - 2)
Factor -982 - 12*x**2 + 32*x + 33*x + 581 - 3*x - 2*x**3 + 473.
-2*(x - 4)*(x + 1)*(x + 9)
Solve 3*c**4 - 171 - 1365/2*c - 669/2*c**3 - 849*c**2 = 0.
-1, -1/2, 114
Factor 2655*c**2 - 2592*c**2 - c**4 + 2*c**4 - 25*c + 20*c - 15*c**3 - 44*c.
c*(c - 7)**2*(c - 1)
Let x(t) = -t**3 - 11*t**2 - 38*t - 45. Let y be x(-8). Suppose 138 = 2*v + y*v. Factor 1/4*r - 1/2 + 1/4*r**v.
(r - 1)*(r + 2)/4
Suppose 73*f - 77*f = -28. Solve 3*g + 3*g + 2*g - 20*g**3 - 10 + 5*g**5 + 10*g**2 + f*g = 0.
-2, -1, 1
Let j = 43391/17073 - -73/2439. Factor 120/7*h + 3/7*h**4 + j*h**2 - 24/7*h**3 + 75/7.
3*(h - 5)**2*(h + 1)**2/7
Let t = 8128 - 8126. Let v(o) be the third derivative of 0 + 21*o**t + 0*o**3 + 0*o**4 + 1/80*o**5 + 0*o + 1/320*o**6. Find u, given that v(u) = 0.
-2, 0
Let u = -7740 + 7744. Let n(b) be the second derivative of 0 + 3/2*b**2 - 1/4*b**3 + 3/40*b**5 - 1/4*b**u + 27*b. Factor n(f).
3*(f - 2)*(f - 1)*(f + 1)/2
Let -52*m - 234*m**2 + 3*m**4 + 18*m - 75*m - 131*m + 5880 - 72*m**3 - 5961 = 0. What is m?
-1, 27
Suppose -v = -152*v - 196*v + 16656. Factor 1/2*j**3 + v + 7*j**2 + 32*j.
(j + 4)**2*(j + 6)/2
Let p(f) be the third derivative of f**5/210 + 227*f**4/42 - 200*f**2 - f + 9. Determine o, given that p(o) = 0.
-454, 0
Suppose 0 = -2*g - 15*g + 272. Suppose -5*i - g = 4*r - 1, -4*r + 9 = -3*i. Solve -1/3*t**2 - 2/3*t**3 + r + 2/3*t + 1/3*t**4 = 0.
-1, 0, 1, 2
Let q(p) be the first derivative of -3*p**4/4 - 88*p**3 - 1503*p**2/2 - 2214*p - 191. Factor q(g).
-3*(g + 3)**2*(g + 82)
Let u(x) = 9*x**3 - 304*x**2 + 4785*x + 10886. Let m(p) = 17*p**3 - 612*p**2 + 9570*p + 21773. Let c(q) = 4*m(q) - 7*u(q). Factor c(f).
5*(f - 33)**2*(f + 2)
Let v(a) be the first derivative of -9 - 10/3*a**3 - 2*a + 8*a**2 + 1/3*a**4. Let j(g) be the first derivative of v(g). Factor j(q).
4*(q - 4)*(q - 1)
Find y such that 4/3*y**4 + 4/3*y**5 + 1280/3 - 128/3*y**3 + 896/3*y - 112/3*y**2 = 0.
-5, -2, 4
Suppose -k = 5*q - 8 - 9, -22 = -5*k - 4*q. Suppose -h + 2*r = -6 - 2, -10 = -k*h - 2*r. Factor -68*t**3 - 4*t + 73*t**3 - h*t + 5*t**2.
5*t*(t - 1)*(t + 2)
Factor -136242/5 - 2/5*r**4 - 1048/5*r**3 - 273528/5*r - 138332/5*r**2.
-2*(r + 1)**2*(r + 261)**2/5
Let i(t) be the second derivative of -t**5/70 - 5*t**4/6 - 22*t**3/7 - 333*t + 1. Suppose i(s) = 0. Calculate s.
-33, -2, 0
Let u be 21/539*70 + (-6)/3. Determine r, given that u*r**2 + 0 - 8/11*r**3 + 0*r + 2/11*r**4 = 0.
0, 2
Let k be (-37 + 38)*(1 + 3). Factor -2920 + 2928 - v**5 + 0*v**k + 7*v**2 - 18*v - 3*v**4 + 7*v**3.
-(v - 1)**3*(v + 2)*(v + 4)
Let q(b) = -b**2 + 12*b - 16. Let i be q(10). Solve 5*l + 11*l + l**2 - 20*l - 1 + i = 0 for l.
1, 3
Let c(v) be the first derivative of 2/25*v**5 + 0*v**2 - 8 + 0*v**3 + 0*v - 1/45*v**6 + 4/3*v**4. Factor c(y).
-2*y**3*(y - 8)*(y + 5)/15
Solve -144*q**4 + 639*q + 154*q**4 + 26*q**2 + 32*q**3 - 635*q = 0 for q.
-2, -1, -1/5, 0
Suppose -2242455*x**2 + 6*x + 96*x - 15 + 2242476*x**2 = 0. What is x?
-5, 1/7
Determine k, given that 53*k + 14882*k**5 - 116*k**3 - 14884*k**5 + 120 + 75*k - 38*k**4 - 82*k**2 - 10*k**3 = 0.
-15, -2, -1, 1
Let w = 73 + -57. Factor -8949*a**3 - 78*a**2 + 8940*a**3 - w*a - 33*a - 8.
-(a + 8)*(3*a + 1)**2
Let c(b) be the third derivative of b**5/36 - 5*b**4/36 + 2*b**2 + 678. Find k such that c(k) = 0.
0, 2
Let a = -2455 - -2458. Let k