m).
2*(m - 12)**3*(m + 19)
Let u(j) be the second derivative of -1 - 18*j + 16*j**2 + 1/10*j**5 - 28/3*j**3 + 2*j**4 - 1/15*j**6. Solve u(p) = 0 for p.
-4, 1, 2
Let g(f) = 5*f**3 + 7*f**2 - 43*f + 45. Suppose 4*p = -81 + 69. Let h(m) = -m**3 - m**2 + m + 1. Let i(z) = p*h(z) - g(z). Solve i(c) = 0.
-6, 2
Let m = -703 + 706. Suppose -5*s = -3*s - 6. Factor 7 + 3*t**4 - 10 - m*t**3 + s.
3*t**3*(t - 1)
Solve 2/5*m**2 + 0 + 1532/5*m = 0 for m.
-766, 0
Let r = 2933 + -1997. Find s such that 941*s**2 + 86 - 31 - r*s**2 + 60*s = 0.
-11, -1
Let w(k) be the second derivative of 15*k**4/8 - 85*k**3/3 - 385*k**2/4 + 2984*k + 1. Suppose w(r) = 0. Calculate r.
-1, 77/9
Let l be (-1)/((-21)/6 - -3). Let p be 9/(-15) + 15/25 + 2. Let 8*o + 0*o**p - o**2 + 4*o**l + o**2 = 0. What is o?
-2, 0
Suppose 632*t = -430*t. Determine i, given that 3/4*i**2 + t + 3*i = 0.
-4, 0
Let -56*w**2 + 84*w - 649 + 4*w**3 + 1545 - 752 = 0. What is w?
-1, 3, 12
Let p be (-660)/396*4/(-45). Let g(v) be the first derivative of -8/9*v - 26 - p*v**3 - 2/3*v**2. What is f in g(f) = 0?
-2, -1
Let w(k) = -k**3 + 685*k**2 - 28160*k - 123916. Let p(u) = -8*u**3 + 6164*u**2 - 253440*u - 1115248. Let v(z) = -3*p(z) + 28*w(z). Factor v(c).
-4*(c - 88)**2*(c + 4)
Let k(j) be the second derivative of 1/3*j**4 - 4/3*j**3 + 0 - 14*j - 1/30*j**5 - 9/2*j**2. Let d(g) be the first derivative of k(g). Factor d(h).
-2*(h - 2)**2
Find c, given that 335*c**2 + 302*c**2 + 324*c**2 + 540 - 5*c**3 - 1026*c**2 - 120*c = 0.
-9, -6, 2
Let j(h) be the third derivative of -h**7/315 + 13*h**6/60 - 7*h**2 - 14*h. Factor j(y).
-2*y**3*(y - 39)/3
Let i = -224405/18 + 12467. Let c(o) be the second derivative of 0 - 8*o + 5/9*o**3 + 0*o**2 - i*o**4. Find v, given that c(v) = 0.
0, 5
Solve -4/9*c**5 + 0 + 16/3*c**4 - 832/9*c**2 - 4/3*c**3 - 256/3*c = 0.
-3, -1, 0, 8
Suppose 12 = -3*g, -3*a = -4*a + 4*g + 20. Solve p - 13 - 2*p**3 - 23*p**2 + a*p**2 + 3*p**3 + 26*p + 4*p**2 = 0 for p.
1, 13
Factor 8085/2*j + 332750*j**3 + 343/4 + 63525*j**2.
(110*j + 7)**3/4
Suppose 15*b + 64 + 316 = 110*b. Let o(d) be the second derivative of 0 + 0*d**3 + 0*d**2 + d + 1/4*d**b + 3/40*d**5 - 3/20*d**6. Let o(z) = 0. What is z?
-2/3, 0, 1
Let m(b) be the second derivative of b**5/20 + 2*b**4/3 - b**3/6 - 2*b**2 - 2*b. Let t be m(-8). Factor -t*d**2 + 3*d + 6*d - 5*d.
-4*d*(d - 1)
Let a = 24811193/13 - 1911155. Let t = 2602 + a. Find n such that 6/13*n - 4/13*n**3 + 6/13*n**2 - t = 0.
-1, 1/2, 2
Let f(c) be the first derivative of -9*c**4/4 - 272*c**3/3 - 2085*c**2/2 - 450*c + 1440. Factor f(k).
-(k + 15)**2*(9*k + 2)
Let p(u) be the second derivative of 2*u**6/15 + u**5 + 7*u**4/3 + 2*u**3 - 1908*u. Factor p(v).
4*v*(v + 1)**2*(v + 3)
Let m(o) be the first derivative of 11*o**4/10 + 8*o**3/3 - 4*o**2/5 - 1955. Determine n so that m(n) = 0.
-2, 0, 2/11
Let -1/2*t**2 + 643 + 1285/2*t = 0. Calculate t.
-1, 1286
Let k(p) be the second derivative of -p**4/72 - 73*p**3/18 + 74*p**2/3 + 360*p. Factor k(y).
-(y - 2)*(y + 148)/6
Suppose -6*o + 9983 = 3425. Factor 6*u**2 + 0*u**2 + 1097*u**3 - o*u**3 - 2*u**4.
-2*u**2*(u - 3)*(u + 1)
Let c = -1119 + 815. Let n = c + 306. Solve -2/7*j**3 + 8/7 - 6/7*j**n + 0*j = 0.
-2, 1
Let z(a) be the first derivative of 0*a**2 + 10*a**4 - 7*a**5 + 5/6*a**6 + 80/3*a**3 - 14 + 0*a. Suppose z(r) = 0. What is r?
-1, 0, 4
Let n(r) be the third derivative of 0*r + 1/20*r**5 + 3/4*r**4 + 0 + 50*r**2 - 27/2*r**3. Factor n(k).
3*(k - 3)*(k + 9)
Let g = -6/5135 + 46227/10270. Factor 0 + g*p - 1/2*p**4 - 3/2*p**2 - 5/2*p**3.
-p*(p - 1)*(p + 3)**2/2
Let z(m) be the first derivative of -m**7/6300 + m**6/675 + m**5/180 + 5*m**3/3 - m + 62. Let l(v) be the third derivative of z(v). Factor l(u).
-2*u*(u - 5)*(u + 1)/15
Let t = -304270 + 304273. Determine p, given that 0*p**2 + 16/5*p**t + 0 - 12/5*p**4 + 0*p + 2/5*p**5 = 0.
0, 2, 4
Let q(j) = -j**2 + 166*j - 3638. Let b be q(26). What is x in -2/5*x**2 - b - 12/5*x = 0?
-5, -1
Suppose 0 = 4*h - 112*h - 16*h + 496. Determine p so that 20/13*p**2 - 10/13*p**3 + 2/13*p**5 - 16/13 - 4/13*p**h + 8/13*p = 0.
-2, -1, 1, 2
Let v be 975808/864640 - -1*2/28. Find d such that -18/5 - 28/5*d**2 + 6/5*d**4 + 1/5*d**5 + 9*d - v*d**3 = 0.
-6, -3, 1
Let x(q) be the second derivative of q**7/14 - 7*q**6/5 + 207*q**5/20 - 36*q**4 + 54*q**3 + 1030*q - 2. Solve x(l) = 0.
0, 2, 3, 6
Let x(s) = 29*s**3 - 32*s**2 + 103*s - 79. Let v(b) = -21*b**3 + 22*b**2 - 69*b + 53. Let l(d) = -7*v(d) - 5*x(d). What is f in l(f) = 0?
-6, 1, 2
Let n(f) be the first derivative of -f**3/12 + 37*f**2/4 - 73*f/4 + 1170. Find m, given that n(m) = 0.
1, 73
Let j(t) be the third derivative of -t**6/30 - 57*t**5/5 + 29*t**4 + 688*t**3/3 - 2882*t**2. Factor j(x).
-4*(x - 2)*(x + 1)*(x + 172)
Factor -5089*y - 293*y - 5*y**4 - 77*y**3 + 1042*y - 1290*y**2 - 63*y**3 - 3185.
-5*(y + 1)*(y + 7)**2*(y + 13)
Suppose 0 = 2*b + j - 119, 0 = 3*b - 10*j + 5*j - 198. Let y = b + -419/7. Let -12/7*n**2 + 0*n**3 + 0 - y*n + 4/7*n**4 = 0. Calculate n.
-1, 0, 2
Suppose 0 = 3*z - 2*u - 13, 4*u + 0*u = 2*z - 14. Factor -f**4 - 3*f**5 + 10*f**4 - 107*f**z + 101*f**3.
-3*f**3*(f - 2)*(f - 1)
Let w be (-90)/48 + 4 + 2/(-16). Factor -11 - 5 + w*f**2 + 0*f + 9*f + 5*f.
2*(f - 1)*(f + 8)
Suppose 69*p = 67*p + 86. Suppose p*y - 29 = 57. Factor 10/19*c - 2/19*c**y - 8/19.
-2*(c - 4)*(c - 1)/19
Suppose -42 = -2*y + 4*a, -12 - 5 = -y + 4*a. Let z(n) = -7*n + 178. Let b be z(y). Factor -20/3*o**2 - 4/3*o**b - 28/3*o - 4.
-4*(o + 1)**2*(o + 3)/3
Let x = -2 + -42. Let m be (-77)/x - 2/(-8). Factor -4/7*v**3 + 0*v + 2/7 - 6/7*v**m.
-2*(v + 1)**2*(2*v - 1)/7
Let k = 20/1313 + 6485/5252. Factor -25/2*b**3 + 0 + 125/4*b**2 + 0*b + k*b**4.
5*b**2*(b - 5)**2/4
Let j(b) be the third derivative of -65*b - 6*b**3 - 2*b**2 - 5/4*b**4 + 0 - 1/480*b**6 + 23/240*b**5. Let j(w) = 0. Calculate w.
-1, 12
Factor -72*v**4 - 78*v**4 + 10230*v**3 - 748980*v**2 + 115*v**4 + 213160*v.
-5*v*(v - 146)**2*(7*v - 2)
Find n, given that -1/3*n**2 - 467/3 - 156*n = 0.
-467, -1
Let v(p) = -3*p**3 - 22*p**2 + 170*p + 27. Let k be v(-12). Let o(b) be the first derivative of 1/30*b**4 + 4/15*b + 8/45*b**k + 17 + 1/3*b**2. Factor o(d).
2*(d + 1)**2*(d + 2)/15
Let a = 371 - -75. Let t = -441 + a. Factor 4/5*z**t - 4/5*z - 8/5*z**2 + 8/5*z**4 + 0*z**3 + 0.
4*z*(z - 1)*(z + 1)**3/5
Suppose 285 = 307*z - 636. Let b(l) be the first derivative of -2/33*l**z - 1/11*l**4 + 4 + 0*l + 2/55*l**5 + 2/11*l**2. Factor b(c).
2*c*(c - 2)*(c - 1)*(c + 1)/11
Suppose -864 = 30*q + 186. Let t be -3*(-14)/q*(-5)/3. Let 12/11 - 92/11*c**t - 40/11*c**4 - 14*c**3 + 34/11*c = 0. Calculate c.
-3, -1, -1/4, 2/5
Let 5*i**2 + 794 - 509*i + 1001 - 126*i - 545 = 0. What is i?
2, 125
Let h(n) = -6*n**2 - 31*n - 3. Let o be h(-5). Factor -24*i**3 + 4*i**4 + 6*i**3 + 67*i**2 + 9*i**o - 62*i**3.
4*i**2*(i - 19)*(i - 1)
Let f(h) be the third derivative of h**5/20 - 1399*h**4/4 + 1957201*h**3/2 - h**2 - 251*h - 5. Let f(o) = 0. What is o?
1399
Let v(g) = g**3 + 7*g**2 - g + 13. Let a be v(-7). Suppose -3*j - j + a = 4*z, -1 = -j + 3*z. Suppose -h + 4 - 4*h**j - h - 4*h + 8*h**3 - 2*h = 0. Calculate h.
-1, 1
Let v(m) = 42*m**3 + 49*m**2 - 11*m - 24. Let i(b) = -81*b**3 - 90*b**2 + 21*b + 45. Let p(t) = -8*i(t) - 15*v(t). Factor p(u).
3*u*(u - 1)*(6*u + 1)
Let b(z) be the second derivative of -z**6/6 - 19*z**5/4 - 65*z**4/2 + 350*z**3/3 + 500*z**2 + 2594*z. What is u in b(u) = 0?
-10, -1, 2
Let o(z) be the second derivative of -z**4/20 - z**3 - 24*z**2/5 - 855*z. Factor o(d).
-3*(d + 2)*(d + 8)/5
Let i be 1*6 + 4 + 3*-2. Let u be ((-8)/(-6))/(i/24*4). Factor -4*s**3 - 7*s + 2*s**2 + 2*s**u + 14 + 27*s - 2.
-4*(s - 3)*(s + 1)**2
Suppose -3*j + 0*j - 12 = 0. Let i be 3/(-6) + (-6)/j. Solve -7*n**2 - i - 9*n**2 + 17*n**2 = 0.
-1, 1
What is k in -3/4*k**4 - 16317/4*k**2 - 369/4*k**3 - 299811/4*k - 455877 = 0?
-37, -12
Let b(a) = -a**3 - 26*a**2 + 28*a + 45. Let k be b(-27). Factor 23 - 125*g + 5*g**3 + 64 + k + 115*g**2 - 90*g - 10*g**3.
-5*(g - 21)*(g - 1)**2
Let o(m) be the second derivative of m**6/10 + 153*m**5/20 + 49*m**4/2 - 9393*m. Factor o(s).
3*s**2*(s + 2)*(s + 49)
Factor 58/5*x - 1/5*x**3 - 17/5*x**2 - 8.
-(x - 2)*(x - 1)*(x + 20)/5
Let i(t) be the first derivative of 2/21*t**3 + 6/7*t**2 + 18/7*t + 152. Factor