6/3*p + 22/3*p**5 + 0 = 0.
-2, -2/11, 0, 1, 2
Let r(z) be the second derivative of 22/45*z**6 + 0 + 8/63*z**7 - 2/9*z**3 + 1/9*z**4 + 45*z + 0*z**2 + 3/5*z**5. Let r(g) = 0. Calculate g.
-1, 0, 1/4
Let m(t) be the first derivative of t**3/9 - 789*t**2 + 1867563*t + 1436. Factor m(p).
(p - 2367)**2/3
Suppose 2*p = -2*z + 118, -5*z + 4*p - 53 = -6*z. Let k be 9/4 + 3/(-12). Factor h - h - 6*h - 4 - z*h**k + 59*h**2.
-2*(h + 1)*(h + 2)
Let c(f) = -964*f**2 + 224*f - 20. Let s(u) be the first derivative of 643*u**3/3 - 149*u**2/2 + 13*u - 49. Let g(x) = -5*c(x) - 8*s(x). Factor g(v).
-4*(9*v - 1)**2
Let i be 54/(-1701) - 264234/(-8883). Find x, given that -4/7*x**2 - 2704/7 + i*x = 0.
26
Let z(m) = 33127*m**4 + 1456*m**3 + 19*m**2 - 126*m - 3. Let j(x) = 33128*x**4 + 1456*x**3 + 20*x**2 - 168*x - 4. Let b(q) = -3*j(q) + 4*z(q). Solve b(r) = 0.
-2/91, 0
Let h(d) be the first derivative of d**4/14 + 38*d**3/21 - 216*d**2/7 + 1574. Factor h(y).
2*y*(y - 8)*(y + 27)/7
Let l(c) be the third derivative of -c**5/160 - 209*c**4/64 + 189*c**3/2 + 2*c**2 + 1956. Solve l(x) = 0.
-216, 7
Let y = -13633 + 13662. Let v(i) be the first derivative of 0*i - y - 1/6*i**3 + 2*i**2. Factor v(a).
-a*(a - 8)/2
Let g(k) = -15*k**2 - 98*k - 224. Let i(c) = 29*c**2 + 198*c + 448. Let m(j) = -5*g(j) - 3*i(j). Factor m(o).
-4*(o + 4)*(3*o + 14)
Let d(p) be the first derivative of 35*p**4/24 + 95*p**3/12 - 15*p**2/2 + 47*p + 78. Let u(r) be the first derivative of d(r). Factor u(f).
5*(f + 3)*(7*f - 2)/2
Factor -1/3*n - 1/3*n**2 + 2/3.
-(n - 1)*(n + 2)/3
Let c(i) be the second derivative of -16*i**5/25 - 136*i**4/15 + 46*i**3/15 + 3174*i**2/5 + 5029*i. Let c(s) = 0. Calculate s.
-23/4, 3
Let q(a) = -30*a - 22. Let x be q(1). Let g be ((-33)/(-12))/1 - x/208. What is t in 0 + 9/4*t**5 + 3/2*t**2 + 0*t - 3/2*t**4 - 9/4*t**g = 0?
-1, 0, 2/3, 1
Factor -1/5*t**5 - 3192/5*t**2 - 17689/5*t + 122/5*t**3 + 0 + 24/5*t**4.
-t*(t - 19)**2*(t + 7)**2/5
Let m = 14 - 21. Let r be 8/((-8)/m) + -4. Factor -5/2*p**2 + 0 + 3/2*p**r + p.
p*(p - 1)*(3*p - 2)/2
Determine q so that 38/7 - 37/7*q - 1/7*q**2 = 0.
-38, 1
Determine m, given that -2*m**5 + 12*m + 30*m**4 + 33*m - 40*m**3 + 26*m**2 - 89*m**2 - 3*m**5 + 33*m**2 = 0.
-1, 0, 1, 3
Let o = -9442 + 8223983/871. Let a = o + 2611/1742. Find b such that -a*b**2 - 12*b + 0 = 0.
-8, 0
Let k be 24/(-2) + 1008/56. Let b be (-1 + 0)*1*-4. Factor -4 - k + g + 2*g**b + 12 + 12*g**2 - 8*g**3 - 9*g.
2*(g - 1)**4
Let g(c) be the first derivative of c**6/120 + c**5/20 - 5*c**4/12 - 21*c**2 + 79. Let n(w) be the second derivative of g(w). Determine m so that n(m) = 0.
-5, 0, 2
Let x(s) be the second derivative of 0*s**4 + 0 + 0*s**5 - 1/2*s**3 + 0*s**2 + 10*s + 1/1260*s**6. Let m(z) be the second derivative of x(z). Solve m(i) = 0.
0
Factor 6*k**3 + 35*k**2 + k**3 + 0*k**3 + 10*k**3 - 12*k**3.
5*k**2*(k + 7)
Factor 65*r + 73*r + 4*r**2 - 18*r + 479 + 357.
4*(r + 11)*(r + 19)
Suppose -w - 28 = -0*w. Let q = w - -34. Suppose 0*z - q*z**2 - 2*z**2 + 9*z + 5*z**2 = 0. Calculate z.
0, 3
Let r = 121 + -237/2. Let v = 217410 - 869635/4. Let 15/4*t - v*t**2 - r = 0. Calculate t.
1, 2
Factor 43/4*v - 47/4*v**2 - 5/2 + 7/2*v**3.
(v - 2)*(v - 1)*(14*v - 5)/4
Let b(q) be the third derivative of -q**6/600 - q**5/150 + 131*q**4/120 + 22*q**3/5 + 145*q**2 + 9*q. Factor b(x).
-(x - 11)*(x + 1)*(x + 12)/5
Factor 234/7*x**2 - 48/7*x**3 + 2/7*x**4 + 676/7*x + 0.
2*x*(x - 13)**2*(x + 2)/7
Let j(q) be the third derivative of 1/30*q**6 + 0 - 4/105*q**7 + 1/168*q**8 + 2/15*q**5 + 9*q**2 - 5*q - 1/4*q**4 + 0*q**3. Factor j(x).
2*x*(x - 3)*(x - 1)**2*(x + 1)
Let t(d) be the third derivative of d**6/180 + 11*d**5/60 + 3*d**4/2 - 17*d**3/2 - 2*d**2 + 240. Let b(m) be the first derivative of t(m). Factor b(u).
2*(u + 2)*(u + 9)
Solve 55/8*c - 63/2 + 3/4*c**2 - 1/8*c**3 = 0 for c.
-7, 4, 9
Factor -5*i**2 + 182/3 - 1363/3*i.
-(i + 91)*(15*i - 2)/3
Let f(x) be the third derivative of x**6/240 + x**5/6 + 19*x**4/48 + 4*x**2 - 51. Let f(k) = 0. What is k?
-19, -1, 0
Determine m so that 602*m**2 - 154*m**2 + 58172 - 5957 - 5*m**3 + 157*m**2 - 20599*m + 1424*m = 0.
3, 59
Factor -98 - 2/11*m**2 - 168/11*m.
-2*(m + 7)*(m + 77)/11
Let y(c) be the first derivative of -56 + 7/2*c + 2/3*c**3 + 11/4*c**2. Factor y(i).
(i + 1)*(4*i + 7)/2
Suppose 4*l - h - 1180 = -3*h, -887 = -3*l - h. Let p = l + -294. Solve 0 + 0*m**4 - 1/5*m**p + 1/5*m**5 + 0*m**2 + 0*m = 0.
-1, 0, 1
Let u be 27 - (-4*(-9)/12 + (18 - 19)). Let v(h) be the first derivative of 8 - 5/3*h**3 - 15*h**2 - u*h. Solve v(j) = 0 for j.
-5, -1
Let u(b) be the first derivative of b**5/25 - 9*b**4/10 + 32*b**3/15 - 150. Factor u(w).
w**2*(w - 16)*(w - 2)/5
Let v(t) be the third derivative of t**7/1680 + t**6/90 - 11*t**5/80 - 13*t**3/6 - 22*t**2. Let o(n) be the first derivative of v(n). Solve o(b) = 0 for b.
-11, 0, 3
Let t = -202 - -195. Let b be t/1 - 2765/(-316). Factor 9/4*x + 1/2 + b*x**2.
(x + 1)*(7*x + 2)/4
Let n be (0*(-2)/4)/(-6 + 6 + 2). Let j(w) be the first derivative of n*w + 22 + 1/2*w**4 - 10/3*w**3 + 4*w**2. Let j(a) = 0. Calculate a.
0, 1, 4
Let i(s) be the first derivative of -s**4/16 + 363*s**2/2 + 5324*s - 2425. Suppose i(j) = 0. Calculate j.
-22, 44
Suppose -6642 = -36*n + 10674. Let r = n - 4327/9. Suppose -2/9*g + 0 + r*g**2 = 0. Calculate g.
0, 1
Let b(o) be the second derivative of o**6/330 - 9*o**5/220 - 21*o**4/44 + 149*o**3/66 - 39*o**2/11 - 11400*o. Factor b(r).
(r - 13)*(r - 1)**2*(r + 6)/11
Let d be -3*(-3 + 455/(-21)). Factor -212*f**2 + 29*f**4 - d*f**3 + 16*f**5 - 95*f**3 - 28*f - 81*f**4 + 24 - 59*f**3.
4*(f - 6)*(f + 1)**3*(4*f - 1)
Let l(f) = -25*f**2 + 108*f - 8. Let g(d) be the third derivative of 3*d**5/20 - 3*d**4/2 + d**3/2 + 256*d**2. Let b(k) = -8*g(k) - 3*l(k). Factor b(h).
3*h*(h - 12)
Let r(d) be the first derivative of 2*d**5/25 + d**4/2 - 2*d**3 - 9*d**2 + 108*d/5 - 1284. Suppose r(t) = 0. Calculate t.
-6, -3, 1, 3
Let n be (2 - (-1 + 0)) + (-96)/36. Let r = 2017 - 2017. Let 0 + r*k - n*k**2 = 0. Calculate k.
0
Let v = -1963/141 + 11507/705. Find j, given that -v - 2/5*j + 2/5*j**2 = 0.
-2, 3
Let f(s) be the third derivative of -s**7/630 - 7*s**6/72 + s**5/180 + 35*s**4/72 - 1371*s**2. Factor f(y).
-y*(y - 1)*(y + 1)*(y + 35)/3
Factor 7*d**2 - 2547*d + 1920*d - 4*d**2 - 18375*d + 30089667.
3*(d - 3167)**2
Suppose -2*b**2 + 25727*b**5 + 25727*b**5 - 6*b**4 - 51453*b**5 + 15*b + 24*b**2 = 0. Calculate b.
-1, 0, 3, 5
Suppose -2*g + 3*w - 21 = 0, 6 = -g - 5*w + 2. Let o be (-10)/6*g - 4. Determine a so that -15*a**2 - 83 - 40*a - 17 + o*a**2 = 0.
-5
Let h(u) be the third derivative of u**6/120 + 167*u**5/60 - 337*u**4/24 + 169*u**3/6 + 1228*u**2. Suppose h(t) = 0. Calculate t.
-169, 1
Let i be 4/5*(-10)/(-4). Let g(j) = -2*j**3 + 24*j**2 - 57*j - 56. Let c be g(8). Factor c*a - 1/4*a**3 + 0 + 1/4*a**i.
-a**2*(a - 1)/4
Factor -684/7*i + 58482/7 + 2/7*i**2.
2*(i - 171)**2/7
Let h be (9*(-6)/(-45))/(3/(-30)). Let b be 3 + ((-60)/h)/5. What is f in 0*f**2 + 2*f**b + 0*f - 4/3*f**3 + 0 = 0?
0, 2/3
Let x(g) be the first derivative of -50/3*g**3 + 40/3*g**6 + 165/4*g**4 + 0*g + 5/2*g**2 - 40*g**5 + 3. Factor x(m).
5*m*(m - 1)**2*(4*m - 1)**2
Suppose 27 = 3*l - 5*f - 0*f, 3*l - 4*f - 24 = 0. Determine k so that -k**l + 0*k**3 + k**2 - 11*k**3 - k**5 + 14*k**3 - 2*k + 0*k**2 = 0.
-2, -1, 0, 1
Let k(u) be the first derivative of -u**6/54 - 2*u**5/15 + 59*u**4/36 - 16*u**3/3 + 70*u**2/9 - 16*u/3 - 640. Let k(r) = 0. Calculate r.
-12, 1, 2
Let u(m) be the second derivative of 83*m + 2/3*m**3 - 1/2*m**4 + 0*m**2 - 1/5*m**6 - 4/5*m**5 + 0. Factor u(i).
-2*i*(i + 1)*(i + 2)*(3*i - 1)
Let z = 1154/1725 + -4/1725. Let r(f) be the first derivative of 6*f**2 - z*f**3 - 27 + 0*f. Let r(a) = 0. Calculate a.
0, 6
Suppose -16 = 9*m + 11. Let p(q) = q**3 + 6*q**2 + 8*q + 2. Let h be p(m). Suppose -17 + 17 + 4*a**h + 41*a**5 + 35*a**4 - 10*a**3 = 0. What is a?
-1, 0, 2/9
Suppose 3*u + 205 = 628. Let o = u + -975/7. Factor o*q**2 - 3/7*q**3 - 12/7*q + 0.
-3*q*(q - 2)**2/7
Factor 492 + 804 - 3*o**4 - 66*o**3 + 1080*o + 475*o**2 - 754*o**2.
-3*(o - 3)*(o + 1)*(o + 12)**2
Let a(x) be the first derivative of 2*x**3/15 - 1734*x**2/5 + 1503378*x/5 + 3864. Suppose a(z) = 0. Calculate z.
867
Let s(w) = w**3 + 5*w**2 + 4503*w 