rivative of 3*n**5 - 25*n**4/2 - 25*n**3/3 + 50*n**2 + 60*n + 306. Solve i(m) = 0.
-1, -2/3, 2, 3
Let c(x) be the third derivative of x**6/40 + 9*x**5/20 + 27*x**4/8 + 27*x**3/2 + 188*x**2. Solve c(g) = 0.
-3
Solve -5/6*q**2 - 1/6*q**5 + 0*q - 1/2*q**4 + 3/2*q**3 + 0 = 0 for q.
-5, 0, 1
Let o(y) be the first derivative of -7 + 5*y + 0*y**2 - 1/30*y**6 - 1/20*y**5 + 0*y**4 + 0*y**3. Let k(w) be the first derivative of o(w). Factor k(c).
-c**3*(c + 1)
Suppose 4*n = -3*n - 16*n. Let p(b) be the second derivative of -8*b + 0*b**2 - 1/12*b**4 + n - 1/2*b**3. Determine v, given that p(v) = 0.
-3, 0
Let v(p) = -2*p + 2. Let o be v(-1). Suppose -o*w - 4*g + 24 = 0, 2*w + 4*g = -3*w + 26. Factor -23*i**2 - 5*i**w + 6*i**3 + 8*i - 3*i**3 + 9*i**3.
4*i*(i - 2)*(3*i - 1)
Let f = 12 + -9. Suppose 2*z + 1 + 1 = -3*o, -2*z + f*o = -10. Solve -2 + 3 + 3 + z*a**2 + 6*a = 0 for a.
-2, -1
Let y = 34 + -31. Solve y*i - i**4 - 2*i**3 - 3*i + i**3 = 0 for i.
-1, 0
Let a = -7159 - -7161. What is q in -3/4*q**3 + 3/2*q + 3/4*q**a + 0 = 0?
-1, 0, 2
Let q(s) be the second derivative of -s**5/210 + s**4/42 - 4*s**2/21 - 2*s + 80. What is p in q(p) = 0?
-1, 2
Let d(y) be the third derivative of -5/12*y**5 - 5/12*y**4 - 1/6*y**6 - 1/42*y**7 + 0 + 0*y**3 + 0*y - 3*y**2. Factor d(a).
-5*a*(a + 1)**2*(a + 2)
Factor 3/5*a**2 - 102/5*a + 99/5.
3*(a - 33)*(a - 1)/5
Suppose 79 = 5*k + 54. Let z(p) be the third derivative of 0*p**3 + 1/140*p**6 + 1/245*p**7 + 0 - k*p**2 + 0*p + 0*p**4 + 1/210*p**5 + 1/1176*p**8. Factor z(i).
2*i**2*(i + 1)**3/7
Suppose 0 = -5*f - 23 + 33. Let w(u) be the third derivative of 0 + 1/3*u**3 + 1/60*u**6 + 6*u**f + 0*u - 1/12*u**4 - 1/30*u**5. Factor w(i).
2*(i - 1)**2*(i + 1)
Let j = -2/459 + 944/5967. Find d, given that j*d**4 + 0*d**2 + 0*d + 0 - 2/13*d**3 = 0.
0, 1
Let d(m) be the first derivative of 3*m**5/5 + 3*m**4/2 - 7*m**3 - 30*m**2 - 36*m + 749. Factor d(l).
3*(l - 3)*(l + 1)*(l + 2)**2
Factor 32*r + 1/3*r**3 - 22/3*r**2 + 96.
(r - 12)**2*(r + 2)/3
Let x(j) = j**2 + 30*j - 27. Let v(n) = 4*n. Let p(l) = -18*v(l) + 2*x(l). Factor p(y).
2*(y - 9)*(y + 3)
Let p = 805 + -800. Factor -6/5*f**4 + 0 - 2/5*f**p + 0*f - 2/5*f**2 - 6/5*f**3.
-2*f**2*(f + 1)**3/5
Let c = -46 - -50. Find l such that 0*l**3 + 6*l**3 - 2*l**2 - 5*l**4 - 6*l + c + 3*l**4 = 0.
-1, 1, 2
Let c(a) = -514*a - 2051. Let q be c(-4). Solve 3/8*g**q + 27/4*g**3 + 15/8*g + 0 + 6*g**2 + 3*g**4 = 0.
-5, -1, 0
Let i = 73 + -83. Let q be ((-6)/i)/((-188)/(-60) + -3). Factor -q*r + 3/4*r**2 + 27/4.
3*(r - 3)**2/4
Let i be (((-8)/(-19))/1 + 0)/2. Find t such that 2/19*t**2 + i - 6/19*t = 0.
1, 2
Let z(c) = -12*c + 26. Let u be z(2). Factor -52*w**3 + 3*w + 11*w**4 - 35*w - 16*w - 16 - u*w**4 + 96*w**2.
(w - 2)**3*(9*w + 2)
Let i be -8 + (1 - (2 + -11)). Factor 1/2*w**i + 0 - w.
w*(w - 2)/2
Suppose 2*r + 19 = 29. Let d = r + -3. Suppose -3*p**2 + 13*p**2 - 6*p**d = 0. Calculate p.
0
Suppose 0 = -n - n + 6. Factor -c**4 + 20*c + 5*c**2 - 18*c + n*c**3 - 4*c**5 + 3*c**5.
-c*(c - 2)*(c + 1)**3
Let v(k) be the first derivative of -12 - 26/15*k**3 - 6/5*k + 1/2*k**4 + 11/5*k**2. Solve v(y) = 0.
3/5, 1
Let g(h) be the third derivative of -h**5/15 - 4*h**4 + 224*h**3/3 - 14*h**2 - 15. What is k in g(k) = 0?
-28, 4
Let d(n) be the second derivative of 12*n + 0*n**3 - 1/3*n**4 - 1/30*n**6 + 0 - 1/5*n**5 + 0*n**2. Factor d(r).
-r**2*(r + 2)**2
Let n(d) be the third derivative of -1/3*d**3 + 0 + 7/24*d**4 + 0*d - 7/120*d**6 + 11*d**2 + 1/30*d**5. What is f in n(f) = 0?
-1, 2/7, 1
Let h(c) be the first derivative of -4*c**5/5 + 29*c**4 - 353. Factor h(j).
-4*j**3*(j - 29)
Let c = -2477 + 2477. Let y(z) be the first derivative of 0*z + 1/4*z**3 + c*z**2 + 0*z**4 - 3/20*z**5 - 13. Let y(f) = 0. What is f?
-1, 0, 1
Let l(h) be the first derivative of 75*h**4/4 + 5*h**3 - 9*h**2 + 89. Factor l(a).
3*a*(5*a - 2)*(5*a + 3)
Suppose -89*s + 12*s = 16*s. Find o such that -1/3*o**2 + 1/3*o + s + 1/3*o**4 - 1/3*o**3 = 0.
-1, 0, 1
Let x be 4/(((-30)/5)/(-6)*42). Let g(f) be the second derivative of 0*f**2 + x*f**7 + f + 0*f**6 + 2/3*f**3 - 2/5*f**5 + 0 + 0*f**4. Factor g(o).
4*o*(o - 1)**2*(o + 1)**2
Let r(y) be the first derivative of -y**3/3 - 6*y**2 + 28*y - 436. Factor r(x).
-(x - 2)*(x + 14)
Let w be 10/(-65) - 8442/332475. Let o = 2/775 - w. Factor -2/11*x**2 - o - 4/11*x.
-2*(x + 1)**2/11
Let n be (-6*302/320)/((-6)/(-4)). Let r = 35/8 + n. Solve 0 - 6/5*p + r*p**2 = 0 for p.
0, 2
Let s = -179 - -183. Let m(k) be the third derivative of 1/20*k**5 - 1/8*k**s + 0 + 6*k**2 + 0*k - k**3. Determine y so that m(y) = 0.
-1, 2
Let u(v) be the second derivative of 2*v**6/105 - 8*v**5/35 + 16*v**4/21 + 35*v. Factor u(y).
4*y**2*(y - 4)**2/7
Let r(n) be the second derivative of n**6/50 + 11*n**5/100 + n**4/10 - 2*n**3/5 - 4*n**2/5 + n + 36. Suppose r(o) = 0. What is o?
-2, -2/3, 1
Let c be 0*(-11 - 352/(-33)). Let k(d) be the second derivative of -1/30*d**4 + 0 + c*d**2 + 7*d - 1/25*d**5 + 1/75*d**6 + 2/15*d**3. Find w such that k(w) = 0.
-1, 0, 1, 2
Let w = 248 + -245. Find f, given that -6*f**5 - 4*f**4 + 2/3*f + 16/3*f**w + 0 + 4*f**2 = 0.
-1, -1/3, 0, 1
Let f(c) be the third derivative of -3*c**6/100 + 47*c**5/150 - 23*c**4/30 + 8*c**3/15 + 20*c**2. Suppose f(y) = 0. What is y?
2/9, 1, 4
Let q(x) be the third derivative of x**6/30 - 21*x**5/10 - 11*x**4/4 + 32*x**3/3 + 585*x**2. Factor q(g).
2*(g - 32)*(g + 1)*(2*g - 1)
Factor -1/2*x**2 + 161/6*x - 53/3.
-(x - 53)*(3*x - 2)/6
Suppose 2*b - 30 = x - 6*x, b = -x + 6. Solve 3*z - z**3 - 9*z**2 + x - 2*z**3 - 37*z**4 + 40*z**4 = 0.
-1, 1, 2
Factor 1/9*z**2 - 50/9 - 5/9*z.
(z - 10)*(z + 5)/9
Let u be (0 - (-63)/(-134)) + (-4)/(-8). Let d = 75/268 - u. Suppose 3/4 + 1/4*p**2 - d*p**3 + 5/4*p = 0. Calculate p.
-1, 3
Let k be ((-42)/(-7))/((-297)/(-9)). Factor 6/11*v + k*v**2 + 4/11.
2*(v + 1)*(v + 2)/11
Let k(a) be the third derivative of 1/9*a**3 + 0 + 18*a**2 + 0*a - 1/90*a**5 + 0*a**4. Let k(r) = 0. What is r?
-1, 1
Let x(h) be the third derivative of -h**6/180 + h**5/30 - 4*h**3/9 - 9*h**2. Factor x(f).
-2*(f - 2)**2*(f + 1)/3
Let i(h) be the second derivative of -h**5/220 - h**4/33 - h**3/22 - 75*h. Solve i(q) = 0 for q.
-3, -1, 0
Let j(x) = -7*x + 38. Let f be j(5). Let u(v) be the first derivative of -4 + 0*v - 1/2*v**4 + 4/9*v**f + 0*v**2. Solve u(m) = 0 for m.
0, 2/3
Factor 1615*q**2 + 5*q**4 + 78*q + 81647*q**3 - 1620 - 81827*q**3 + 102*q.
5*(q - 18)**2*(q - 1)*(q + 1)
Let b(a) be the third derivative of -a**5/90 + 3*a**4/2 + 55*a**3/9 - 4*a**2 + 6*a. Let b(s) = 0. Calculate s.
-1, 55
Let r = 13339/8 - 1664. Let o = -14498 - -14498. Determine a so that -3/8*a**4 + 81/8*a + r*a**3 + o - 81/8*a**2 = 0.
0, 3
Let f be 9/4788*1384 + 2/(-7). Suppose 242/19 - f*o + 2/19*o**2 = 0. What is o?
11
Let c be 21 + (-6 - (-6)/(-2)). Solve -9/2*f - 2*f**2 + 2 - c*f**4 + 7/2*f**5 + 13*f**3 = 0 for f.
-4/7, 1
Let r be 2*1 - (-5 + (-3375)/(-482)). Let s = r - -3859/1446. Determine b so that -s*b - 32/3*b**2 + 0 - 14/3*b**3 = 0.
-2, -2/7, 0
Let t = 2 - -6. Let y(m) = m**3 - 2*m**2 + m + 2. Let g be y(2). Factor -12*i**2 - 3*i**g - t*i + i**2 - 2 - 8*i**3 + i**4 - i**2.
-2*(i + 1)**4
Let p be ((-44)/72 + 4/(-18))/(205/(-164)). Factor 2/3*u**3 - p*u**2 - 10/3*u - 2.
2*(u - 3)*(u + 1)**2/3
Let g(o) = 19*o**2 - 60*o - 58. Let i(a) = 17*a**2 - 60*a - 59. Let r(x) = -6*g(x) + 7*i(x). Determine h so that r(h) = 0.
-1, 13
Let d(k) = 2 + 9*k**2 - 104*k**3 - 14*k + 51*k**3 + 52*k**3. Let p be d(7). Let l**3 - 1/2*l**5 - 1/2*l - 1/2 + l**p - 1/2*l**4 = 0. What is l?
-1, 1
Let x = 35 + -33. Suppose -x - 4 = -2*u. Factor 0 + 0*m + 3/7*m**4 - 6/7*m**2 + 3/7*m**u.
3*m**2*(m - 1)*(m + 2)/7
Let u(w) be the third derivative of -w**6/40 + 13*w**5/20 - 169*w**4/24 + 35*w**3/6 - 20*w**2. Let z(r) be the first derivative of u(r). Solve z(d) = 0 for d.
13/3
Let b(x) be the third derivative of x**8/50400 - x**7/6300 + x**6/1800 - x**5/4 - 13*x**2. Let d(f) be the third derivative of b(f). Factor d(c).
2*(c - 1)**2/5
Let i(q) be the first derivative of 4*q**3 + 4 - 3/2*q**4 + 0*q - 1/2*q**6 + 9/2*q**2 - 12/5*q**5. Determine n, given that i(n) = 0.
-3, -1, 0, 1
Let m(g) = -g - 15. Let q be m(-17). Suppose -4 = -r - 3*l + 4, -4*l = -3*r - q. Determine b, given that 2*b + 3 + 1/3*b**r = 0.
-3
Let c(x) 