 c/(-5)*(-11)/(-99). Factor -8*q - n*q**2 - 48.
-(q + 12)**2/3
Let v = 6861 - 6861. Let u(w) be the second derivative of -5/2*w**2 + 19*w - 1/6*w**6 + w**5 + 10/3*w**3 + v - 5/2*w**4. Solve u(g) = 0.
1
Let w(o) be the second derivative of -5*o**4/3 + 76*o**3/3 + 32*o**2 - 66*o + 2. Factor w(u).
-4*(u - 8)*(5*u + 2)
Let z(p) be the first derivative of p**6/150 - 31*p**5/100 + 17*p**4/4 - 15*p**3/2 + 16*p - 33. Let c(y) be the first derivative of z(y). Factor c(g).
g*(g - 15)**2*(g - 1)/5
Find w, given that -1188/7*w**2 + 36/7*w**3 + 3/7*w**4 - 7776/7*w + 139968/7 = 0.
-18, 12
Let h(u) be the first derivative of 0*u**5 + 0*u**2 + 0*u - 4/15*u**6 - 86 - 2/15*u**3 + 3/10*u**4. Factor h(k).
-2*k**2*(k + 1)*(2*k - 1)**2/5
Let b(m) be the third derivative of -m**6/60 - 6*m**5/5 - 77*m**4/4 - 196*m**3/3 + 2*m**2 - 2*m - 382. Factor b(y).
-2*(y + 1)*(y + 7)*(y + 28)
Determine x, given that -4*x + 10 + 40*x - 18*x + 12*x + 22*x**2 + 2*x**3 - 64 = 0.
-9, -3, 1
Let c = -89461 + 89463. Factor 0 + 2/5*v - 2/5*v**c.
-2*v*(v - 1)/5
Let n be (670168/(-130752) - -5) + 4/32. Let o = n - -8183/22473. Factor -o*j - 2/11*j**2 + 0 + 2/11*j**4 + 4/11*j**3.
2*j*(j - 1)*(j + 1)*(j + 2)/11
Let s = -627228 + 627232. Factor 8/3*h**3 + s*h + 0 + 22/3*h**2.
2*h*(h + 2)*(4*h + 3)/3
Let p = -1128 + 806. Let u be 513/99 + -5 + p/(-165). Determine v so that 14/15*v**4 - u*v - 38/15*v**3 - 2/15*v**5 + 8/15 + 10/3*v**2 = 0.
1, 2
Let i(s) = -10*s**3 + 2*s**2 + 8*s. Suppose -22*z + 3*k = -27*z - 25, 18 = -z + 2*k. Let p(l) = -l**3 - l**2 + l. Let w(n) = z*p(n) + i(n). Factor w(h).
-2*h**2*(h - 5)
Find z, given that -20*z**2 + 47*z**2 + 37*z - 28*z**2 - 36 = 0.
1, 36
Let v = -9068 - -190432/21. Let t(b) be the first derivative of 0*b - v*b**3 - 12/7*b**2 - 32. Determine f so that t(f) = 0.
-6, 0
Let y(s) be the second derivative of s**5/4 + 85*s**4/6 - 1330*s**3/3 + 2300*s**2 + 1757*s. Find p such that y(p) = 0.
-46, 2, 10
Let b(v) be the third derivative of v**8/35280 + v**7/735 - 13*v**6/1260 + 11*v**5/60 + 20*v**2 - 2*v. Let z(w) be the third derivative of b(w). Factor z(t).
4*(t - 1)*(t + 13)/7
Let k(c) be the third derivative of c + 91*c**2 + 7/30*c**6 + 2/105*c**7 + 16/3*c**3 + 6/5*c**5 + 0 + 10/3*c**4. Solve k(w) = 0 for w.
-2, -1
Suppose 0 = 42*k - 45*k + 24. Factor 20*d**4 + d**3 - 55 + 4*d**5 - 60*d**2 - 88*d + 23 - k*d**2 + 3*d**3.
4*(d - 2)*(d + 1)**3*(d + 4)
Let o(a) be the second derivative of a**5/50 - 2*a**4/5 - 65*a**3/3 - 391*a - 2. Factor o(j).
2*j*(j - 25)*(j + 13)/5
Let r(y) be the first derivative of -1/7*y**3 - 15/7*y**2 + 0*y - 64. Factor r(k).
-3*k*(k + 10)/7
What is n in -40 - 20/3*n**3 - 113/3*n**2 - 214/3*n - 1/3*n**4 = 0?
-12, -5, -2, -1
Let s(p) = p**3 - 14*p**2 + 11*p + 29. Let o be s(13). Suppose 0 = 4*m + 2*h - 16, -3*m = m + o*h - 20. Factor 1/7*d**m + 0 + 0*d.
d**2/7
Let f(q) be the third derivative of -q**7/42 - 11*q**6/60 + 217*q**5/60 + 15*q**4/4 - 630*q**2 + q. Suppose f(s) = 0. Calculate s.
-9, -2/5, 0, 5
Let p(l) be the third derivative of l**9/1008 + l**8/280 + l**7/280 - 23*l**3/3 + 69*l**2. Let w(o) be the first derivative of p(o). Factor w(q).
3*q**3*(q + 1)**2
Let r(x) be the first derivative of 4*x**3/3 + 2*x**2 - 48*x + 1221. Factor r(p).
4*(p - 3)*(p + 4)
Let f(l) = -5*l**2 - 453*l + 452. Let m(x) = -31*x**2 - 2718*x + 2710. Let z(g) = -13*f(g) + 2*m(g). Factor z(h).
3*(h - 1)*(h + 152)
Let y(a) be the third derivative of a**5/20 - 289*a**4/4 + 83521*a**3/2 + 312*a**2 + 2*a. Find o, given that y(o) = 0.
289
Let x(s) be the first derivative of -70*s - 127 + 45/2*s**2 - 5/3*s**3. Factor x(l).
-5*(l - 7)*(l - 2)
Let w = 290634/55 + -58118/11. What is x in -w*x**4 + 8/5*x**2 - 14/5*x - 4/5 - 14/5*x**5 + 28/5*x**3 = 0?
-1, -2/7, 1
Suppose 3*s - 237 = -3*b - 225, -3*s = 0. Let f(t) be the first derivative of 1/3*t**3 - 11 - 5/2*t**2 + b*t. Factor f(x).
(x - 4)*(x - 1)
Suppose -2 = 5*o + 4*h, -30*o = -35*o - 5*h - 5. Let n be (-6)/o + 329/105. Let 0 - 2/15*z + n*z**2 = 0. What is z?
0, 1
Suppose -1048 + 1084 = -9*t. Let v be 8/12*6/t + 3. Factor 3/2*a**3 - a + 1/2*a**v + 0.
a*(a + 1)*(3*a - 2)/2
Let j be 98/343 - 2/7. Suppose j = 43*h - 50*h. Determine x, given that h*x + 0 + 1/3*x**4 + 4/3*x**3 + 4/3*x**2 = 0.
-2, 0
Factor 52/3*s + 532/3 + 1/3*s**2.
(s + 14)*(s + 38)/3
Let j(r) be the third derivative of 1/210*r**5 - 2*r**2 + 343/3*r**3 - 7/6*r**4 + 21 + 0*r. Factor j(g).
2*(g - 49)**2/7
Let g(n) be the second derivative of 2*n**7/21 + 64*n**6/15 - 3*n**5/5 - 94*n**4/3 + 128*n**3/3 + 763*n + 3. Suppose g(o) = 0. Calculate o.
-32, -2, 0, 1
Let 2530*n - 282*n - 305*n**3 + 610*n**3 + 411*n**2 + 3753 - 306*n**3 + 245*n = 0. Calculate n.
-3, 417
Let x(s) = s**3 - s**2 - 1. Let m(f) be the first derivative of -9*f**4/4 - 4*f**3/3 - 2*f**2 + 12*f + 15. Let n(i) = -5*m(i) - 35*x(i). Solve n(t) = 0.
-5, -1, 1/2
Let w(i) = 2*i**3 + i**2 - 1. Let c(f) = -52*f**3 + 48*f**2 + 520*f - 92. Let n(y) = c(y) + 4*w(y). Factor n(l).
-4*(l - 4)*(l + 3)*(11*l - 2)
Let c(n) be the first derivative of 0*n + 38 - 9*n**2 + 8*n**3 + n**4 - 8/5*n**5 - 1/3*n**6. Factor c(i).
-2*i*(i - 1)**2*(i + 3)**2
Suppose -3*g + 270 = 3*g. Suppose -g = -4*y - 4*w + w, -55 = -4*y - w. Solve -y + 7 - 12*k + 4*k - 2*k**2 = 0 for k.
-2
Let n(b) be the first derivative of b**3/27 - 34*b**2/9 - 365*b/9 + 570. Let n(l) = 0. Calculate l.
-5, 73
Let g be 18/24 + 7 - (-1)/4. Suppose r = -g + 24. Factor -r*q**2 - 6/5 - 46/5*q + 32/5*q**3.
2*(q - 3)*(4*q + 1)**2/5
Let k(x) be the first derivative of -5*x**3/3 - 445*x**2/2 + 450*x + 2311. What is t in k(t) = 0?
-90, 1
Let d = -437/176 + 28/11. Let m(f) be the second derivative of 8*f + 0*f**2 + d*f**4 - 3/8*f**3 + 0. Factor m(j).
3*j*(j - 3)/4
Let v(o) be the second derivative of o**7/2520 + o**6/90 + o**5/8 + 97*o**4/12 - 244*o. Let y(q) be the third derivative of v(q). Determine c so that y(c) = 0.
-5, -3
Let l be ((-2348)/(-12))/(24/72). Let y = -583 + l. Solve -2/3*v**y - 2/3*v**2 + 4/3 + 2*v**3 - 2*v = 0.
-1, 1, 2
Suppose 32*j = -2568 + 2632. Factor -1 + 3/4*k**j + 1/4*k**4 - 5/4*k + 5/4*k**3.
(k - 1)*(k + 1)**2*(k + 4)/4
Let -43829*s**4 + 2772*s**2 + 702*s**3 + 2760*s + 21913*s**4 + 21919*s**4 = 0. What is s?
-230, -2, 0
Suppose 0 = 5*z + 5*i - 130, 0 = -3*i - 0 + 6. Suppose -12*d + z = -4*d. Let y**2 - 7*y**3 - 4 + d*y**3 + 4*y - 2*y**2 + 5*y**2 = 0. Calculate y.
-1, 1
Suppose -7*q + 145 = 22*q. Let i(p) = 16*p + 4. Let d(c) = -c**2 - 35*c - 10. Let m(n) = q*i(n) + 2*d(n). Factor m(h).
-2*h*(h - 5)
Let i(b) be the third derivative of -b**8/560 + 13*b**7/350 - 33*b**6/100 + 81*b**5/50 - 189*b**4/40 + 81*b**3/10 + 1213*b**2. Suppose i(q) = 0. Calculate q.
1, 3
Let q(r) be the first derivative of 61/4*r**2 - 30 - 31/2*r - 29/6*r**3 - 1/8*r**4. Factor q(m).
-(m - 1)**2*(m + 31)/2
Let h(w) be the second derivative of w**6/315 + 53*w**5/105 + 52*w**4/63 - 106*w**3/63 - 5*w**2 + 9*w - 5. Let h(m) = 0. Calculate m.
-105, -1, 1
Let j(s) = 2*s**3 - 12*s**2 + 4*s + 2. Let a(v) = -v**3 - 2*v**2 + 2*v + 1. Let f(z) = -2*a(z) + j(z). Factor f(x).
4*x**2*(x - 2)
Let t be (-5)/10*1728/(-240). What is r in t*r**3 + r**4 + 17/5*r**2 - 4/5 + 0*r = 0?
-2, -1, 2/5
Let x(r) be the third derivative of r**6/60 + 41*r**5/10 + 1681*r**4/4 + 68921*r**3/3 - 15*r**2 + 8*r. Let x(m) = 0. What is m?
-41
Let y(n) be the second derivative of n**6/15 + 28*n**5/5 + 121*n**4 - 1624*n**3/3 + 841*n**2 + 4359*n. Factor y(q).
2*(q - 1)**2*(q + 29)**2
Suppose -2/15*y**2 - 1122002/15 - 2996/15*y = 0. Calculate y.
-749
Let n(w) = -2*w**2 - 4. Let o(u) = -20*u**2 - 24*u - 1036. Let q(b) = 12*n(b) - o(b). Factor q(v).
-4*(v - 19)*(v + 13)
Let -112/13 - 116/13*z**3 + 114/13*z + 112/13*z**2 + 0*z**4 + 2/13*z**5 = 0. What is z?
-8, -1, 1, 7
Let s(l) be the third derivative of -l**5/15 + 83*l**4/6 - 1460*l**3/3 + 94*l**2 + 15*l + 1. What is h in s(h) = 0?
10, 73
Suppose m - 11 = -2. Let y(t) = m + 8*t + 3*t**2 - t**2 - t**2. Let z(f) = f. Let c(r) = 3*y(r) - 6*z(r). Determine l so that c(l) = 0.
-3
Let x(v) be the third derivative of 2/27*v**4 + 0 + 43*v**2 + 1/270*v**5 + 0*v + 16/27*v**3. Solve x(r) = 0 for r.
-4
Let p(k) = -12*k - 8. Suppose -7*b = -3*b + 4. Let z be p(b). Determine c so that z + 0*c**4 + c**3 + 7*c**3 - 4*c**4 - 8*c = 0.
-1, 1
Let s(z) be the third derivative o