0*u - 3*u**2 - 39*u - 37*u + 6*u**2 = 0.
0, 2
Find z, given that -59/8*z - 5/4 + 3/4*z**2 = 0.
-1/6, 10
Let x(b) be the third derivative of b**5/420 - 19*b**4/168 + 3*b**2 - 53*b. Factor x(c).
c*(c - 19)/7
Let n(a) be the first derivative of -2/17*a + 2/85*a**5 - 15 + 0*a**3 - 1/17*a**4 + 2/17*a**2. Find s such that n(s) = 0.
-1, 1
Let g(j) be the second derivative of 1/18*j**3 - 1/36*j**4 + 1/180*j**5 - 1/18*j**2 + 0 + 4*j. Factor g(t).
(t - 1)**3/9
Let s(c) be the third derivative of 0*c**3 + 0*c + 1/40*c**4 + 0 + 29*c**2 + 1/75*c**5 - 7/600*c**6. Factor s(j).
-j*(j - 1)*(7*j + 3)/5
Let s(z) be the second derivative of z**6/1260 + z**5/105 + z**4/28 + 4*z**3/63 - 15*z**2 - 15*z. Let x(l) be the first derivative of s(l). Factor x(p).
2*(p + 1)**2*(p + 4)/21
Let b be 52/42*(-6)/34. Let t = b - -11/17. Let -6/7*n - 3/7*n**2 - t = 0. Calculate n.
-1
Factor 1/7*f**2 + 1849/7 - 86/7*f.
(f - 43)**2/7
Solve 2419*z**2 - 4389*z**2 + 5*z**5 - 225*z**4 - 5065*z**2 + 4410*z + 601*z**3 + 2244*z**3 = 0 for z.
0, 1, 2, 21
Let q(w) be the first derivative of 0*w**2 + 3*w + 2 - 1/36*w**3 - 1/72*w**4. Let m(g) be the first derivative of q(g). Factor m(z).
-z*(z + 1)/6
Find u, given that -14/17*u**3 + 2/17*u**4 + 32/17*u + 0 - 20/17*u**2 = 0.
-2, 0, 1, 8
Let m = -464 - -464. Let x(h) be the third derivative of -1/300*h**6 + m - 3*h**2 - 1/20*h**4 - 3/5*h**3 + 0*h + 1/30*h**5. Determine y so that x(y) = 0.
-1, 3
Let c(i) be the second derivative of -i**7/1680 - i**6/120 - 3*i**5/80 - i**4/12 - 3*i**3/2 + 23*i. Let o(q) be the second derivative of c(q). Factor o(j).
-(j + 1)**2*(j + 4)/2
Factor -36/5*f**2 - 4/5*f**3 - 24/5*f + 64/5.
-4*(f - 1)*(f + 2)*(f + 8)/5
Let s = 94 + -84. Suppose g - s = -12*v + 8*v, 4 = 2*v. Solve 0 + 5/4*n**3 + n + 1/4*n**4 + 2*n**g = 0 for n.
-2, -1, 0
Let t be (-3)/(((-78)/4)/13). Let c(s) be the first derivative of -3/10*s**t - 3/20*s**4 + 2/5*s**3 + 0*s + 2. Let c(n) = 0. Calculate n.
0, 1
Solve 4*v + 4*v**4 - 750 + 16*v**3 - 4*v**2 - 20*v + 750 = 0.
-4, -1, 0, 1
Let o(h) be the first derivative of 128/7*h + 12 + 16/7*h**2 + 2/21*h**3. Factor o(j).
2*(j + 8)**2/7
Let s(k) be the third derivative of 0 - 1/1365*k**7 + 0*k**4 + 1/195*k**5 + 0*k + 0*k**3 + 47*k**2 - 1/780*k**6. Find u such that s(u) = 0.
-2, 0, 1
Let p(d) be the first derivative of d**3/2 - 27*d**2 - 74. Solve p(r) = 0 for r.
0, 36
Suppose 0 = 5*k - 2*x, -k + 3*x = 7*x. Let m(u) = -u**2 + 14*u + 15. Let g be m(15). Factor k + 2/15*d**2 + g*d.
2*d**2/15
Suppose 0 = 2*f - 16 + 12. Let a(c) be the second derivative of -1/9*c**4 - 1/9*c**f - 1/135*c**6 + 10*c + 0 - 2/45*c**5 - 4/27*c**3. Let a(i) = 0. What is i?
-1
Let z(p) be the second derivative of -5*p**4/12 - 10*p**3/3 - 10*p**2 - 137*p. Factor z(n).
-5*(n + 2)**2
Let l(k) be the third derivative of -2*k**7/315 + 11*k**6/90 - 4*k**5/5 + 8*k**4/9 + 128*k**3/9 - 22*k**2 + 2*k. Suppose l(p) = 0. What is p?
-1, 4
Let a(z) be the second derivative of 0*z**3 - 1/189*z**7 - 2/27*z**4 + 7*z + 0*z**2 - 1/27*z**6 - 4/45*z**5 + 0. Factor a(f).
-2*f**2*(f + 1)*(f + 2)**2/9
Let t(o) = -o + 2. Let w(g) = -2*g**2 - 63*g + 62. Let n(l) = -3*t(l) - w(l). Solve n(a) = 0 for a.
-34, 1
Let o(m) be the second derivative of 2*m**6/15 - 5*m**5/4 + 13*m**4/4 + 3*m**3/2 - 27*m**2/2 + 2*m + 36. Factor o(s).
(s - 3)**2*(s - 1)*(4*s + 3)
Let g(u) = u**3 - 4*u**2 + 3*u + 4. Let j(k) = -1. Suppose 2*p = 6*p + 16, 3*p + 10 = 2*v. Let a(s) = v*g(s) - 4*j(s). Suppose a(z) = 0. Calculate z.
0, 1, 3
Let s(l) = l**3 + 8*l**2 + 15*l. Let p be s(-5). Let y(j) be the first derivative of -4/3*j**3 + p*j**2 - 1 + 4*j. Factor y(z).
-4*(z - 1)*(z + 1)
Determine u, given that 30*u**3 + 184 - 2*u**5 + 21024*u**2 + 42*u**4 + 18*u**3 - 192*u - 21154*u**2 + 50*u**3 = 0.
-2, 1, 23
Let q(i) be the second derivative of -5*i**4/12 + 130*i**3/3 - 1690*i**2 - 3*i - 2. Suppose q(b) = 0. Calculate b.
26
Determine v, given that -49/2 - 273/4*v - 5/4*v**3 - 18*v**2 = 0.
-7, -2/5
Let u = 3751 + -3739. Suppose -10/3*l**4 - 20*l**2 - 1/3*l**5 - u*l + 0 - 37/3*l**3 = 0. What is l?
-3, -2, 0
Let z(d) be the second derivative of d**6/1440 - d**5/240 - d**4/32 - 2*d**3/3 - 7*d. Let x(q) be the second derivative of z(q). Find l, given that x(l) = 0.
-1, 3
Let n(b) = 11*b**2 - 36*b + 40. Let m(a) = -a**2 + 3*a - 2. Let x be m(4). Let j(i) = 10*i**2 - 35*i + 40. Let c(h) = x*j(h) + 5*n(h). Factor c(y).
-5*(y - 4)*(y - 2)
Let a(k) be the second derivative of 3/25*k**5 + 4/75*k**6 - 6*k + 1/15*k**3 + 0 + 0*k**2 + 1/105*k**7 + 2/15*k**4. Factor a(i).
2*i*(i + 1)**4/5
Suppose 0*a + 0 + 4/7*a**5 + 24/7*a**4 + 0*a**2 + 36/7*a**3 = 0. Calculate a.
-3, 0
Let k(r) = -4*r**2 - 58*r + 2. Let m(z) = -z**2 - z + 1. Let y(n) = -k(n) + 2*m(n). Factor y(s).
2*s*(s + 28)
Suppose -123 = 3*o - 132. Let g(d) = -d**2 - 7. Let n(i) = -2*i + i - 6 + 0*i - i**2. Let j(b) = o*g(b) - 4*n(b). Factor j(v).
(v + 1)*(v + 3)
Let j(a) = 4*a - 12. Let v be j(3). Let z(q) be the second derivative of -2/15*q**5 + 2/63*q**7 + 2/9*q**3 + 10*q + v + 0*q**6 + 0*q**4 + 0*q**2. Factor z(u).
4*u*(u - 1)**2*(u + 1)**2/3
Factor -1/4*r**2 - 2*r + 33/4.
-(r - 3)*(r + 11)/4
Suppose -p - 11 = 3*l, -48*l = -47*l + 5. Let q(i) be the second derivative of -i + 0*i**2 + 0 - 1/3*i**3 + 1/12*i**p. Find w, given that q(w) = 0.
0, 2
Let b(n) = 1057*n - 3166. Let t be b(3). Determine u so that -56/15*u - 10/3*u**3 + 16/15*u**4 + 76/15*u**2 - 2/15*u**t + 16/15 = 0.
1, 2
Let n = -29 + 29. Let j = 19/11 - 73/55. Factor 8/5*w + j*w**2 + n.
2*w*(w + 4)/5
Suppose -5*h = 3*l - 0*h + 19, -4*h = -3*l + 26. Find f such that -1/3*f**l - 20/3*f - 100/3 = 0.
-10
Suppose 0 = 5*h + o - 4 - 16, o = 0. Factor 3/7 - 12/7*q**h + 3/7*q + 33/7*q**3 - 27/7*q**2.
-3*(q - 1)**3*(4*q + 1)/7
Let -1/4*v**4 - 19/2 - 117/4*v**2 - 41/4*v**3 - 115/4*v = 0. What is v?
-38, -1
Let s(u) be the third derivative of u**7/1680 - u**6/480 - u**5/480 + u**4/96 + 135*u**2. Factor s(m).
m*(m - 2)*(m - 1)*(m + 1)/8
Let l be 6/(-5)*(-5)/2. Suppose l*p**4 - 8*p**2 + 3*p**3 - p**4 + 0*p**5 - 2*p**5 + 5*p**3 = 0. Calculate p.
-2, 0, 1, 2
Factor -6/5 - 2/5*o**4 - 24/5*o**2 - 12/5*o**3 - 4*o.
-2*(o + 1)**3*(o + 3)/5
Let l = 50 + -45. Factor -15*k**3 + 180*k**4 - 195*k**4 - 15*k + 18*k**2 + 17*k**2 + 10*k**l.
5*k*(k - 1)**3*(2*k + 3)
Let l(d) be the first derivative of 6 - 3/5*d**2 - 3/5*d**4 + 0*d + 0*d**5 + 1/15*d**6 + 16/15*d**3. Let l(p) = 0. Calculate p.
-3, 0, 1
Let w(j) be the second derivative of 1/42*j**4 - 1/7*j**2 + 0 + 5*j - 2/21*j**3 + 1/35*j**5. Suppose w(a) = 0. What is a?
-1, -1/2, 1
Let y(d) be the second derivative of -8/3*d**3 + 20*d - 1/3*d**4 - 6*d**2 + 0. Factor y(m).
-4*(m + 1)*(m + 3)
Let x(j) = -10*j**2 + 2*j - 24. Let y(s) = -27*s**2 + 7*s - 71. Let r(h) = -11*x(h) + 4*y(h). Let r(d) = 0. Calculate d.
-5, 2
Let s = 40 - 61. Let a = s - -21. Solve a*x + 1/4*x**2 - 1/4 = 0 for x.
-1, 1
Suppose 3/7*h**2 + 24/7*h + 36/7 = 0. Calculate h.
-6, -2
Suppose 3*f - 2*y - 406 = -4*y, -4*y = -2*f + 260. Let n = -134 + f. Factor 2/3*i**4 + 0 - 2/3*i**3 + n*i**2 + 0*i.
2*i**3*(i - 1)/3
Suppose -3*z - l = -6*z - 651, -5*l = z + 217. Let k = 3691/17 + z. Solve -2/17*r**2 + k*r**3 + 0 + 0*r = 0.
0, 1
Suppose 2*j = -2 + 8. Suppose -j*f**4 + f**4 + 2*f**4 - 5*f**5 = 0. Calculate f.
0
Let u(g) be the second derivative of g**4/42 + 4*g**3/21 - 5*g**2/7 + 13*g - 1. Determine n, given that u(n) = 0.
-5, 1
Factor -19/6*v + 3 + 1/6*v**2.
(v - 18)*(v - 1)/6
Let 7*o - 20 - 1/2*o**2 = 0. What is o?
4, 10
Let f(i) be the third derivative of i**5/12 + 15*i**4/8 - 55*i**3/3 + 15*i**2 + 4. Factor f(m).
5*(m - 2)*(m + 11)
Let h(y) be the first derivative of 2*y**3/3 - 3*y**2 - 66. Factor h(g).
2*g*(g - 3)
Suppose g - 3*g - 5*b + 25 = 0, 2*g - 2*b = 4. Find r, given that 0 - 8 + 7*r**2 + 44*r + 15 + g = 0.
-6, -2/7
Determine z so that 15*z**2 + 22*z**2 - 32*z**2 + 5*z**3 = 0.
-1, 0
Let m(s) be the third derivative of -s**7/140 - s**6/10 - 3*s**5/8 + s**2 + 23*s. Solve m(p) = 0.
-5, -3, 0
Suppose -j = 3*t - 4*j - 666, 2*t = -3*j + 464. Factor 4*o**3 - t*o + 226*o - 4*o**2.
4*o**2*(o - 1)
Let l be 1/(-2)*(263 + -7 + 4). Let a be 3/(45/2)*l/(-13). Factor -2 - 2/9*s**2 + a*s.
-2*(s - 3)**2/9
Let h(l) be the first derivative of 5/2*l**4 + 5*l**3 - 12 + 15*l - 20*l**2. Factor h(u).
5*(u - 1)*(u + 3)*(