 - 54945*f**4/8 - 165649*f**3/3 + 9*f**2 + 10*f + 6. Solve o(c) = 0 for c.
-2, 814
Let u(z) be the second derivative of 15*z**2 + 1/8*z**4 - 1/3*z**3 + 0 - 23*z - 3/160*z**5 + 1/960*z**6. Let q(d) be the first derivative of u(d). Factor q(v).
(v - 4)**2*(v - 1)/8
Suppose 291 - 9*n - 33*n**2 + 3*n**4 - 261 + 11*n**3 - 5*n**3 + 3*n**3 = 0. What is n?
-5, -1, 1, 2
Let q = -80845 - -80845. Factor 1/3*l - 1/6*l**2 + q.
-l*(l - 2)/6
Factor 0 + 0*o + 108/5*o**2 + 39/5*o**4 - 708/5*o**3.
3*o**2*(o - 18)*(13*o - 2)/5
Let w(y) be the second derivative of y**4/54 - 403*y**3/27 + 134*y**2/3 - 3679*y. Find q such that w(q) = 0.
1, 402
Suppose -6*q = -14 + 8. Let t be (-5 - (-2)/q) + 6. Factor 18*f - 11*f**2 - t - 11*f**2 + 8*f**2 - 13*f**2.
-3*(3*f - 1)**2
Let a(r) = -r**2 + r - 13. Let p(s) = 12*s**3 + 3126*s**2 - 1042*s - 26. Let w(b) = -2*a(b) + p(b). Find l such that w(l) = 0.
-261, 0, 1/3
Let d = 73 + -67. Let z be (-2)/d*(-22 + 16). Factor y**4 + 16*y - 17*y - 3*y**5 - 3*y**4 + 4*y**5 + 2*y**z.
y*(y - 1)**3*(y + 1)
Let z(c) = -2*c**2 + 47*c + 28. Let y be z(24). Suppose -y*m + 46*m - 84 = 0. Suppose 0 - 36/5*i + 4/5*i**4 + 12/5*i**m + 4*i**3 = 0. Calculate i.
-3, 0, 1
Let 16/15*s**4 - 8/15*s**3 - 2/15*s**5 + 28/15 + 2/3*s - 44/15*s**2 = 0. What is s?
-1, 1, 2, 7
Let g(z) be the first derivative of -3*z**4/16 - 9*z**3/4 + 3*z**2/8 + 27*z/4 - 2860. Solve g(k) = 0.
-9, -1, 1
Let l(t) = 3*t**4 + 14*t**3 + 7*t**2 - 18*t. Let j(b) = 8*b**4 + 34*b**3 + 13*b**2 - 36*b. Let u(a) = -4*j(a) + 10*l(a). Determine x so that u(x) = 0.
-3, 0, 2, 3
Let c(g) be the second derivative of 3*g**6/8 + 3347*g**5/80 - 4513*g**4/24 + 1153*g**3/6 - 77*g**2 + 312*g - 2. Solve c(m) = 0 for m.
-77, 2/9, 2/5, 2
Factor -2/11*a**4 - 202/11*a - 206/11*a**3 - 406/11*a**2 + 0.
-2*a*(a + 1)**2*(a + 101)/11
Let r(p) be the first derivative of -1/24*p**3 + 115 - 1/4*p**2 + 1/2*p + 1/32*p**4. Solve r(i) = 0.
-2, 1, 2
Let w(y) be the third derivative of 7*y**6/20 + 34*y**5/15 - 16*y**4/3 + 1493*y**2. Solve w(n) = 0.
-4, 0, 16/21
Solve -2/17*b**3 + 0 - 28/17*b + 18/17*b**2 = 0.
0, 2, 7
Let p be (301/(-4))/((-3)/(-12)). Let g be (-3 - (p + 1)) + 2. What is v in -g - 5*v**5 + 5*v**3 + 5*v**4 - 5*v**2 + 299 = 0?
-1, 0, 1
Let g = -718489/40 - -89813/5. Let -g*b**4 + 147/8*b - 105/8*b**2 - 39/8*b**3 + 0 = 0. What is b?
-7, 0, 1
Let a(p) be the second derivative of -p**8/672 + p**7/210 + p**6/80 - p**5/30 - p**4/12 - 34*p**2 - 10*p. Let h(l) be the first derivative of a(l). Factor h(w).
-w*(w - 2)**2*(w + 1)**2/2
Let n(s) = s**3 - 2*s**2 - 48*s + 19. Let v be n(8). Suppose 40 = v*g - 9*g. Find l, given that 0 + 2/3*l**g - 2/3*l**2 + 0*l + 0*l**3 = 0.
-1, 0, 1
Let g(k) be the third derivative of -2 + 0*k - 1/2*k**3 + 0*k**4 - 13*k**2 + 1/80*k**5. Factor g(i).
3*(i - 2)*(i + 2)/4
Let y(h) be the third derivative of h**5/270 + 617*h**4/54 + 380689*h**3/27 + 1683*h**2. Solve y(u) = 0 for u.
-617
Let k(h) be the first derivative of -h**5/10 - h**4/8 + 5*h**3/2 + 9*h**2/4 - 27*h + 568. Factor k(a).
-(a - 3)*(a - 2)*(a + 3)**2/2
Solve -157*a - 114*a + 24*a**3 + 2*a**4 + 307*a + 58*a**2 = 0 for a.
-9, -2, -1, 0
Let j = 2065640714/747 + -2765248. Let h = -14/83 + j. Factor 1/3*p - h + 1/9*p**2.
(p - 1)*(p + 4)/9
Let c(g) be the second derivative of g**7/42 - 11*g**6/60 - 27*g**5/20 - 19*g**4/6 - 11*g**3/3 - 9*g**2/4 + 642*g. Factor c(o).
(o - 9)*(o + 1)**3*(2*o + 1)/2
Let l(s) be the first derivative of -s**6/3 - 284*s**5/35 + 225*s**4/7 + 80*s**3/3 - 443*s**2/7 - 276*s/7 + 4403. Determine v, given that l(v) = 0.
-23, -1, -2/7, 1, 3
Let x(a) = -3*a**4 - 18*a**3 + 42*a - 48. Let y(d) = -2*d**4 - 17*d**3 + 43*d - 48. Let n = 15 + -20. Let m = 99 - 93. Let t(f) = m*y(f) + n*x(f). Factor t(b).
3*(b - 2)**3*(b + 2)
Determine z so that -1/10*z**4 + 231/10*z**3 + 19494/5*z - 1368*z**2 + 0 = 0.
0, 3, 114
Let x(y) = 17*y**4 - 5*y**3 - y**2 + 26*y + 15. Let z(j) = 14*j**4 - 6*j**3 - 2*j**2 + 26*j + 16. Let b(u) = 4*x(u) - 5*z(u). Solve b(s) = 0 for s.
-1, 2, 5
Let 3 - 18590*z - 2 - 2015*z**2 + 54481*z**3 + 5*z**4 - 1 - 54461*z**3 = 0. What is z?
-13, 0, 22
Factor 8*k + 4*k + 40 - 37 + 0*k**2 + 18*k**2 + 12*k**3 + 3*k**4.
3*(k + 1)**4
Suppose 2*z - 7 = -0*z - o, -14 = -2*z + 6*o. Solve 10/9*h**3 + 4/9 + 2/9*h**z + 14/9*h + 2*h**2 = 0 for h.
-2, -1
Let -2739/2*q**2 - 8664 + 9*q**3 + 52212*q = 0. What is q?
1/6, 76
Let k be (-5 + (-286)/(-65))/((-12)/35). Let o = k + -3/2. Factor o*b**3 + 1/4*b + 1/2*b**2 + 0.
b*(b + 1)**2/4
Factor -548/3 + 184*v - 47*v**2 + 1/3*v**3.
(v - 137)*(v - 2)**2/3
Let a(y) be the first derivative of -2*y**5/65 - 2*y**4/13 + 8*y**3/13 + 64*y**2/13 + 128*y/13 - 11510. Let a(z) = 0. Calculate z.
-4, -2, 4
Let v(r) = 3*r**3. Let k(y) = -17*y**3 - 256*y**2 - 515*y - 258. Let w(f) = -k(f) - 6*v(f). Factor w(g).
-(g - 258)*(g + 1)**2
Solve 91*b**2 - 358*b + 47*b**2 - 66*b**2 + 128 - 38*b + 520 - 4*b**3 = 0 for b.
3, 6, 9
Suppose 0*f - 8 = -2*f - g, -2*f - 3*g = -12. Solve -27*v - 32*v**2 + 1 - 2 - f*v + 3 = 0.
-1, 1/16
Determine f, given that 60/7*f + 2/7*f**2 + 208/7 = 0.
-26, -4
Let t be (-12)/(-18)*(-9)/6. Let u(v) = -2*v**3 + 2*v**2 + 2*v + 1. Let o be u(t). Let 5*c**o - 6*c**3 + 2*c**2 + 3*c**3 - 3*c**3 - c = 0. Calculate c.
0, 1
Let t(i) be the third derivative of 7/3*i**4 + 0*i + 784/3*i**3 + 1/120*i**5 + 0 + 21*i**2. Find x such that t(x) = 0.
-56
Let j(v) be the third derivative of 0 + 4*v**2 - 1/210*v**7 - 1/15*v**6 - 4*v + 2/15*v**5 - 24*v**3 + 4*v**4. Factor j(z).
-(z - 2)**2*(z + 6)**2
Let v(u) be the first derivative of 2*u**3/39 - 2474*u**2/13 + 3060338*u/13 - 6502. Solve v(l) = 0 for l.
1237
Suppose -23*y - 15*y = 0. Let i be y/((-48)/26 - 8/52). Determine w so that 0*w + i + 3/7*w**3 + 3/7*w**2 = 0.
-1, 0
Let g be (11664/1248)/(105/455). Suppose 5*z**3 - 1/4*z**4 + g*z - 117/4*z**2 + 0 = 0. What is z?
0, 2, 9
Let w be (-35)/455 - 53/(-13). Let s be (-3)/6 + (-29)/(-2). Find v, given that 9 - w*v**3 + s - 12*v**2 - 7 = 0.
-2, 1
Let n(h) = 24*h**2 - 288*h + 2. Let q be n(12). Let d(v) = -23*v + 1. Let o be d(-6). Let -f**4 + 2*f - f + 141 - o - f**2 + q*f - 3*f**3 = 0. Calculate f.
-2, -1, 1
Let o = -317 + 321. Suppose 2*x + o = -2*h, 4*x - 6*x - 4*h - 8 = 0. Factor c**4 + 3/2*c**5 + 0 - 1/2*c**3 + 0*c**2 + x*c.
c**3*(c + 1)*(3*c - 1)/2
Let s be (-4)/(-1)*845/52. Suppose 69*l = s*l + 40. Factor -l + 7*i**2 - 8*i - 6 + 0*i**3 - 4*i**3 + 3*i**3.
-(i - 4)**2*(i + 1)
Factor 0*m + 0 - 10*m**2 + 2/5*m**3.
2*m**2*(m - 25)/5
Let p = 11067/8 - 4150/3. Let m(z) be the third derivative of 26*z**2 + 1/480*z**6 + 1/6*z**3 - 1/240*z**5 + 0*z + 0 - p*z**4. Factor m(s).
(s - 2)*(s - 1)*(s + 2)/4
Let m(z) = z**3 - 3*z - 3. Let p(g) = 11*g**3 + 510*g**2 + 1962*g + 1942. Let r(b) = 6*m(b) - p(b). What is q in r(q) = 0?
-98, -2
Let y(l) = -l**2 - 23*l - 87. Let t be y(-18). Let c(r) be the first derivative of 9*r + 3/4*r**4 - 3*r**t + 13 - 3/2*r**2. Find s such that c(s) = 0.
-1, 1, 3
Let t = 168367 + -168365. Suppose 9*c + 1/2*c**4 - 3/2*c**2 - t*c**3 + 0 = 0. What is c?
-2, 0, 3
Let k(g) be the third derivative of -g**7/1890 - 7*g**6/810 + 65*g**3/6 - 199*g**2. Let x(h) be the first derivative of k(h). Find b, given that x(b) = 0.
-7, 0
Let k(i) be the first derivative of 2*i**3/3 + 2*i**2 - 198*i + 3902. Let k(a) = 0. Calculate a.
-11, 9
Let z be (24/(-306))/((-208)/24). Let y = 209/1326 + z. Factor y*q - 1/6*q**3 + 1/12*q**4 - 1/12*q**2 + 0.
q*(q - 2)*(q - 1)*(q + 1)/12
Let x be (-36)/(-4 + 0)*6/18. Let b be (1 + -35)/(-14 + 4) + -3. Find i, given that b*i**4 - 2/5*i**x - 2/5*i**2 + 0 + 2/5*i = 0.
-1, 0, 1
Let r(n) = -348*n**3 + 392*n**2 + 668*n - 108. Let o(k) = -3*k**2 - k + 11. Let t(y) = -4*o(y) - r(y). Factor t(j).
4*(j - 2)*(j + 1)*(87*j - 8)
Let u(q) be the first derivative of -5*q**6/27 + 104*q**5/45 - 125*q**4/18 + 44*q**3/27 + 148*q**2/9 - 112*q/9 - 626. Determine x so that u(x) = 0.
-1, 2/5, 2, 7
Let g(z) be the third derivative of -z**9/3024 + z**8/96 - 7*z**7/72 - 4*z**4/3 - 11*z**2. Let s(h) be the second derivative of g(h). Factor s(c).
-5*c**2*(c - 7)**2
Let s be (-42)/(-15)*((-2860)/(-154) + -18). Let 2/5*c**3 - s - 8/5*c + 2/5*c**2 = 0. What is c?
-2, -1, 2
Let b(q) = q**2 - 3*q - 8. Let l be b(5). Suppose -14*z**2 - 2*z + 36*z**4 + 44*z**l + 8*z - 3*z - 69*z**3 = 0. Calculate 