 33*m**5/5 + 689*m**4/2 - 39326*m**3/3 - 276*m**2 + 7. Factor c(s).
4*(s - 7)*(s + 53)**2
Suppose -33*k + 8 + 25 = 0. Let a(s) = -s**3 - s**2. Let g(x) = -27*x**3 + 59*x**2 + 34*x - 12. Let z(t) = k*g(t) - 3*a(t). Determine v so that z(v) = 0.
-2/3, 1/4, 3
Suppose -36*j - 113 + 221 = 0. Suppose -6 = f - j*c, 2 = 4*f + c - 13. Factor -2/15*x**4 - 14/5*x**2 + 38/15*x - 4/5 + 6/5*x**f.
-2*(x - 6)*(x - 1)**3/15
Suppose 2*p - 2 = -3*h, 0*p + 2*p + 2 = -5*h. Suppose 2*b + 2 = -r, p*b + 5*r + 1 = -9. Determine l so that -4*l**3 + 8*l + 4*l - 8 + b*l**3 = 0.
-2, 1
Factor 0 - 36*j + 130/7*j**2 - 2/7*j**3.
-2*j*(j - 63)*(j - 2)/7
Let z be 6/(30/(-5)) + 37/37. Let g(u) be the third derivative of 0*u + z + 30*u**2 - 1/480*u**6 + 1/96*u**4 + 1/210*u**7 + 0*u**3 - 1/60*u**5. Factor g(o).
o*(o - 1)*(o + 1)*(4*o - 1)/4
Let p(y) be the second derivative of -11*y**5/240 + y**4/16 + 150*y**2 + 2*y + 82. Let i(s) be the first derivative of p(s). Factor i(u).
-u*(11*u - 6)/4
Let i = -5695 - -609370/107. Let v = 301/428 + i. Determine o so that 0*o**2 + 3/4*o**4 + 3/2*o**3 - v - 3/2*o = 0.
-1, 1
Let c(g) be the second derivative of g**7/525 - g**5/75 + g**3/15 - 12*g**2 + 38*g. Let j(f) be the first derivative of c(f). What is y in j(y) = 0?
-1, 1
Let d = 18 - 16. Factor -3*n**3 - 3*n - 5267*n**2 + 3*n + 5300*n**d.
-3*n**2*(n - 11)
Suppose -u = 2*v - 15, 15*v = -2*u + 17*v. Suppose -5*n + u*t + 19 = 9, 4 = 2*n + 3*t. Factor -9/10*z**n + 6/5*z - 2/5.
-(3*z - 2)**2/10
Suppose 0 + 1/4*j**2 + 12*j = 0. Calculate j.
-48, 0
Let u(q) be the third derivative of q**8/504 - 94*q**7/315 - 19*q**6/36 - q**2 - 386. Factor u(x).
2*x**3*(x - 95)*(x + 1)/3
Let l(c) = -7*c + 42. Let s be l(-6). Let r be (-12)/s + (-338)/(-14). Find b such that -43*b**3 - b**4 - b + r*b**3 + 20*b**3 + 3*b**2 - 2 = 0.
-1, 1, 2
Let o(b) be the first derivative of -5*b**4/4 - 65*b**3/3 - 255*b**2/2 - 315*b - 833. Solve o(a) = 0 for a.
-7, -3
Factor -1223*l + 14492*l**2 - 13361*l**2 + 365*l + 12*l**3 - 285.
3*(l - 1)*(l + 95)*(4*l + 1)
Let p(m) be the third derivative of m**7/140 - 59*m**6/240 + 91*m**5/30 - 40*m**4/3 - 64*m**3/3 - 23*m**2 - 11*m. Factor p(t).
(t - 8)**2*(t - 4)*(3*t + 1)/2
Let -n**4 + 80 - 138*n**3 + 93*n + 11*n + 21*n**2 + 134*n**3 = 0. What is n?
-4, -1, 5
Let b be (-48)/(-6) + 4 + -10. Suppose 0*q - s - 3 = -3*q, 6 = -b*s. Let q*z + 4/11*z**2 - 2*z**5 + 0 - 4/11*z**4 + 2*z**3 = 0. What is z?
-1, -2/11, 0, 1
Let p = -242899 + 242902. Factor -2*l**2 + 32/7 + 2/7*l**p - 20/7*l.
2*(l - 8)*(l - 1)*(l + 2)/7
Let a(u) be the third derivative of u**5/120 + 13*u**4/6 - 1265*u**3/12 - 1723*u**2 - 2*u - 1. Factor a(w).
(w - 11)*(w + 115)/2
Let y be 20*10/20 + 0. Let d be (-4)/y + (-336)/(-315). Suppose -d*v**2 + 4*v - 6 = 0. What is v?
3
Let b be (-4)/10 - (-4 - 238/(-70)). Let u(o) be the second derivative of 0 - b*o**3 + 1/30*o**4 - 5*o + 2/5*o**2. Factor u(g).
2*(g - 2)*(g - 1)/5
Let z be -22 + 19 - (-169)/52. Let q(x) be the first derivative of -1/3*x**3 - 1/2*x**2 + z*x**4 - 27 + x. Suppose q(p) = 0. Calculate p.
-1, 1
Let t(f) be the second derivative of -16/3*f**2 - 1/15*f**6 - 28/9*f**3 + 2/9*f**4 + 13/30*f**5 - 4*f - 24. Find b, given that t(b) = 0.
-1, -2/3, 2, 4
Let x be (-11 - -19 - -7) + (1 - -4). Let s be 54/x + (-6)/5. Suppose -3/2 + s*b**3 - 3/2*b + 3/2*b**2 = 0. Calculate b.
-1, 1
Let q = 9269/120 - 386/5. Let g(i) be the third derivative of 0 - 1/840*i**7 - 1/48*i**4 - 2*i**2 + 0*i**5 + q*i**3 + 0*i + 1/240*i**6. Factor g(h).
-(h - 1)**3*(h + 1)/4
Let c(m) be the second derivative of m**5/80 - 847*m**4/48 + 22366*m**3/3 + 22472*m**2 + 822*m. Determine s so that c(s) = 0.
-1, 424
Let i(y) = y**3 + 2*y**2 - y + 1. Let d(f) = -7*f**3 - 27*f**2 - 8*f - 6. Suppose 0 = -5*k - 5*k + 60. Let c(w) = k*i(w) + d(w). Solve c(l) = 0 for l.
-14, -1, 0
Let y(z) be the third derivative of -z**7/735 - 31*z**6/420 + 23*z**5/70 + 33*z**4/28 - 47*z**2 + 6*z. Find d, given that y(d) = 0.
-33, -1, 0, 3
Let z(a) be the second derivative of 3*a**5/80 - 3*a**4/8 + 5*a**3/8 + 526*a - 2. Find r, given that z(r) = 0.
0, 1, 5
Determine k so that 58261*k**3 + 100*k**2 - 27*k + 2156 + 839*k - 58257*k**3 = 0.
-11, -7
Suppose 0 = 2*c + 2*q - 70, -5*c = -6*c + 3*q + 23. Suppose -43 - 3*x**2 + 103 - c + 32*x - 2*x**2 - 40 = 0. What is x?
2/5, 6
Suppose -9*x - 273481 + 273526 = 0. What is b in -112/5*b - 238/15*b**2 + 2/15*b**x + 96/5 - 10/3*b**4 + 334/15*b**3 = 0?
-1, 1, 12
Suppose 46 = 35*j - 24. Solve -3*f**3 - 12*f**2 - 4*f**j - 8*f - 19*f - 2*f**2 - 12 = 0.
-4, -1
Let u(o) be the first derivative of -8 + 1/90*o**5 - o**2 + 1/3*o**4 + 0*o + 4*o**3. Let b(w) be the second derivative of u(w). Solve b(n) = 0 for n.
-6
Let d(j) be the first derivative of 82 + j**4 + 116/3*j**3 + 784*j + 448*j**2. Find g, given that d(g) = 0.
-14, -1
Let d be (6/8)/((-2)/100). Let i = -33 - d. Determine s, given that -3*s + 1/2*s**2 + i = 0.
3
Let a(q) = -3*q**2 - 87*q - 66. Let s(k) = 22*k**2 - 35*k - 53*k**2 + 30*k**2 - 26. Let b(p) = -5*a(p) + 12*s(p). Factor b(u).
3*(u + 2)*(u + 3)
Let b(c) = -2*c**3 + 232*c**2 - 3389*c + 2279. Let o be b(99). Factor 86/17*f + 84/17 + 2/17*f**o.
2*(f + 1)*(f + 42)/17
Let z(x) be the second derivative of 0*x**2 + 1/2*x**6 + 0*x**3 + 6 + 13/2*x**5 + 20/3*x**4 + 2*x. Let z(c) = 0. Calculate c.
-8, -2/3, 0
Suppose 2*i - 45 = -d, 4*i - 42 = 2*i - 2*d. Let q(r) = r**3 - 26*r**2 + 50*r - 46. Let c be q(i). Factor -2/9*j**4 - 4/9*j**3 - 2/9*j**c + 0*j + 0.
-2*j**2*(j + 1)**2/9
Let f = 164 - 161. Let 40 + 5 + 3*m**3 + 3*m**f + 15*m - 25*m**2 - m**3 = 0. Calculate m.
-1, 3
Let g(d) be the third derivative of -1/12*d**4 + 0 + 0*d + 3*d**2 - 1/90*d**5 + 0*d**3. Determine f so that g(f) = 0.
-3, 0
Let r(h) be the second derivative of 9*h**7 + 44*h**6/5 + 2*h**5/5 - 417*h. Factor r(u).
2*u**3*(3*u + 2)*(63*u + 2)
Let g be (1/2)/(14/(-1400)). Let x be g/15*42/(-4). What is h in 17*h - h**2 + 15*h - x*h - 2 = 0?
-2, -1
Let f = 3917/2178 - 5/242. Solve -f*l**2 + 32/9 + 2/9*l**4 + 0*l**3 + 0*l = 0.
-2, 2
Determine q, given that 368/5 + 82/5*q**2 - 2/5*q**3 + 452/5*q = 0.
-4, -1, 46
Let r be 2162/2115 - 68/306. Solve o**4 + 5*o**5 + 0 + r*o**2 - 16/5*o**3 + 0*o = 0.
-1, 0, 2/5
Factor 155*p**3 + 1716*p**2 + 69*p**3 + 16640*p - 66*p**2 - 179*p**3 + 27040.
5*(p + 2)*(3*p + 52)**2
Let m(w) be the second derivative of -w**5/70 - w**4/21 + 55*w**3/21 + 8*w**2 + 2*w + 2039. Factor m(v).
-2*(v - 7)*(v + 1)*(v + 8)/7
Let i(w) be the first derivative of 80 - 8/45*w**3 + 0*w - 2/15*w**4 - 2/75*w**5 + 0*w**2. Factor i(m).
-2*m**2*(m + 2)**2/15
Let p(i) = i**2 - 4*i - 2. Let r be p(-2). Factor 15 + r*z - 5*z**3 - 7*z + 22*z + 5*z**2.
-5*(z - 3)*(z + 1)**2
Let z(n) be the third derivative of 0*n**3 - 1/490*n**7 + 0*n - 1/70*n**5 + 0 + 0*n**4 - 3/280*n**6 - 11*n**2. Let z(k) = 0. What is k?
-2, -1, 0
Let i(z) be the third derivative of z**8/112 + z**7/5 + 9*z**6/5 + 83*z**5/10 + 167*z**4/8 + 30*z**3 + 296*z**2. Suppose i(g) = 0. What is g?
-5, -4, -3, -1
Let p = -1018469/2 + 509344. Find j such that p*j + 18*j**2 + 9 = 0.
-6, -1/12
Suppose -80*x**4 + 37*x**3 + 152*x**4 - 4*x**3 + 171*x**2 + 135*x - 75*x**4 = 0. Calculate x.
-3, -1, 0, 15
Factor y**4 + 31588*y**2 - 532278*y + 151584*y**2 - 852*y**3 - 305031*y + 114813*y + 719104.
(y - 424)**2*(y - 2)**2
Let -6*x**3 + 52*x + 4*x + 54 - 481 + 390*x**2 - 50*x**3 + 2*x**4 + 35 = 0. Calculate x.
-1, 1, 14
Suppose -k + 4*z = -34, 4*k + 5*z = 3*k + 25. Suppose 25 - k*m**2 - 15*m - 5*m**3 - 25 + 50 = 0. What is m?
-5, -2, 1
Let s(j) = 13 + 17*j + 6*j + 2*j**2 - 4*j. Let y be s(-9). Factor -32*n**5 + 28*n**5 + 4*n**4 + 12*n**3 - y*n**2 + 8*n**3 - 32*n - 16.
-4*(n - 2)**2*(n + 1)**3
Let s(g) = g**3 + 6*g**2 - 8*g - 2. Let j be s(-7). Factor 3*x**3 + 240*x - x**4 - 264*x + 17*x**2 + j*x**2.
-x*(x - 6)*(x - 1)*(x + 4)
Solve -2253/4*m**2 - 27 - 147/8*m**5 - 315/2*m**4 - 441/2*m - 3771/8*m**3 = 0 for m.
-3, -2, -2/7
Let t(y) = y**3 + y**2. Let g(c) = 8*c**3 + 4*c**2 - 4*c. Let r be (-12)/((-7)/((-21)/(-2))). Let w(z) = r*t(z) - 2*g(z). Factor w(j).
2*j*(j + 1)*(j + 4)
Let s = -42895 - -42899. Suppose -s*b**2 - 19/8*b - 15/8*b**3 - 1/4 = 0. What is b?
-1, -2/15
Let a(t) be the first derivative of -t**4/36 - 11*t**3/18 - 74*t + 111. Let s(r) be the first derivative of a(r). Find h such 