+ 65*v**3/6 - 170*v**2 - 2737*v. Find p such that i(p) = 0.
-17, 4
Let d = -133156 - -133168. Factor -1/4*x**3 - 16 - 3*x**2 - d*x.
-(x + 4)**3/4
Factor 196/9*a - 2/9*a**2 + 1130/3.
-2*(a - 113)*(a + 15)/9
Let r(d) = d**2 - 19*d - 18. Let q = 34 + -14. Let h be r(q). Factor v**4 + v**2 - 6*v**3 - 7*v**h + v**4 - 2*v**2.
2*v**2*(v - 4)*(v + 1)
Factor 30*a**2 + 24*a**2 - 5*a**3 - 90*a**2 + 26*a**2 + 20*a**2.
-5*a**2*(a - 2)
Let i be 677400/(-144) + 1/6. Let u be ((-12)/(-70))/((-504)/i). Find z, given that 8/5*z - u*z**2 + 8/5*z**4 - 2/5*z**5 - 6/5*z**3 + 0 = 0.
-1, 0, 1, 2
Let y(p) = -42*p + 2. Let u be y(-1). Suppose -u = -2*v + 5*h - 61, v - h + 1 = 0. Suppose 0*o - 2/13*o**v + 4/13*o**3 + 0 - 2/13*o**2 = 0. Calculate o.
0, 1
Determine b, given that -80/3 + 7/3*b**3 + 12*b**2 - 52/3*b - 1/3*b**4 = 0.
-4, -1, 2, 10
Let 1/10*l + 6/5 - 1/10*l**3 - 13/10*l**2 + 1/10*l**4 = 0. Calculate l.
-3, -1, 1, 4
Let r be 12/(1800/3305) + -22. Let d(g) be the third derivative of 0 - r*g**5 + 0*g - 4*g**2 + 2*g**3 - 5/12*g**4. Determine j so that d(j) = 0.
-6, 1
Let s(x) be the third derivative of -x**7/210 + 797*x**6/60 - 633613*x**5/60 - 106001*x**4/2 - 106134*x**3 + 6000*x**2. Solve s(l) = 0.
-1, 798
Let z be 65/5 - (-6 + 2). Suppose -z*q - 33 = -28*q. Factor 1/6*v**5 + 0 - 1/6*v + 1/3*v**2 + 0*v**q - 1/3*v**4.
v*(v - 1)**3*(v + 1)/6
Let k(n) be the third derivative of n**2 + 1/357*n**7 - 2/255*n**5 + 1/2856*n**8 - 26 - 2/51*n**4 + 0*n + 0*n**3 + 1/170*n**6. Factor k(s).
2*s*(s - 1)*(s + 2)**3/17
Suppose -12*g = -30*g + 864. Find u, given that -28*u + 4*u**3 - u**2 + 9*u**2 - 32 + g = 0.
-4, 1
Let r(t) be the first derivative of 825/4*t**4 + 45 - 40*t + 225*t**5 - 2530/3*t**3 + 310*t**2. Solve r(s) = 0.
-2, 2/15, 1
Suppose 0 = 2*y - 67 + 49. Suppose -3*o = -y*o + 30. Determine u, given that 4*u**3 - u**4 + 2*u**2 - u**5 - u**o - 19*u + 17*u - 1 = 0.
-1, -1/2, 1
Let l(n) be the second derivative of -n**7/42 - 13*n**6/25 - 209*n**5/50 - 41*n**4/3 - 15*n**3/2 + 25*n**2 + 3169*n. Suppose l(j) = 0. What is j?
-5, -1, 2/5
Let h be (2 + -1)*16/(-16). Let r be 6 + 4/h + 1. Factor -3*v**2 - 5*v + 5*v**3 - 10*v**3 - 7*v**2 + 0*v**r.
-5*v*(v + 1)**2
Let h be (47/((-1880)/216))/(336/(-80)). Factor 5/7*c + h*c**2 - 2/7*c**3 + 0.
-c*(c - 5)*(2*c + 1)/7
Let l(n) = -29*n**4 - 383*n**3 - 1372*n**2 - 1004*n. Let w(z) = -9*z**4 - 128*z**3 - 457*z**2 - 334*z. Let k(x) = -2*l(x) + 7*w(x). Factor k(m).
-5*m*(m + 1)*(m + 3)*(m + 22)
Suppose 7493 = 722*z - 61819. Factor 20*q**2 + 4/3*q**3 + z*q + 144.
4*(q + 3)*(q + 6)**2/3
Factor 20/11 + 26/11*v + 6/11*v**2.
2*(v + 1)*(3*v + 10)/11
Suppose -2*l + o = 0, -4*o + 3 = -3*l - 7. Suppose -76*t**3 + 45*t**l + 4*t**4 - 228*t + 102*t - 42*t**2 - 198*t + 393*t**2 = 0. What is t?
0, 1, 9
Let z(a) = a**3 - a**2 - 14*a + 29. Let g be z(3). Factor -4*t**3 - 11*t**5 + 9*t**5 + 6*t**4 + 0*t**g.
-2*t**3*(t - 2)*(t - 1)
Let b(a) be the first derivative of a**4/16 + 2*a**3/3 + 15*a**2/8 + 8773. Factor b(l).
l*(l + 3)*(l + 5)/4
Let y(u) be the first derivative of -28/9*u - 1/9*u**4 + 26/9*u**2 - 20/27*u**3 + 13. Find r such that y(r) = 0.
-7, 1
Let q be (-10 + 209/44)*24/9. Let h be q/(-54)*(-546)/(-637). Factor 2/3*s**2 - h*s - 4/9.
2*(s - 1)*(3*s + 2)/9
Let v(r) be the third derivative of 7/120*r**5 + 2*r**2 + 0*r + 1/240*r**6 + 9 + 5/16*r**4 + 3/4*r**3. Find w, given that v(w) = 0.
-3, -1
Let m(p) be the third derivative of -p**9/30240 - p**8/2240 + p**7/720 + p**4/24 - 2*p**3/3 - 98*p**2. Let w(v) be the second derivative of m(v). Factor w(a).
-a**2*(a - 1)*(a + 7)/2
Let p(v) be the second derivative of 19*v - 8/3*v**3 - 4 - 1/18*v**4 + 0*v**2. What is n in p(n) = 0?
-24, 0
Let f be (3/6)/(181/724). Let v = -9536/15 - -1966/3. Factor 0 + v*o + 2/5*o**3 - 28/5*o**f.
2*o*(o - 7)**2/5
Let d(x) be the first derivative of -2*x**6/3 - 12*x**5/5 + 29*x**4 + 4*x**3 - 56*x**2 - 671. Solve d(n) = 0.
-7, -1, 0, 1, 4
Let y(l) be the first derivative of l**6/24 + l**5/5 - 3*l**4/2 - 43*l**3/6 - 89*l**2/8 - 15*l/2 - 5681. Determine k so that y(k) = 0.
-6, -1, 5
Let l be (714/(-3094))/(11/(-52)). Determine a, given that -2/11*a**3 - l - 2/11*a + 8/11*a**2 = 0.
-1, 2, 3
Let l = -4580 - -55025/12. Let r(m) be the second derivative of 0 + 0*m**2 - 2*m - 5/3*m**3 + l*m**4. Factor r(d).
5*d*(13*d - 2)
Let u(i) be the second derivative of -45*i**7/28 - 38*i**6/5 + 203*i**5/8 - 101*i**4/6 - 5*i**3/3 - 3614*i. Solve u(h) = 0.
-5, -2/45, 0, 2/3, 1
Let l be 498237/(-295640) - (-2)/(-16). Let z = -4/389 - l. Factor -3/5*u**2 - z*u**4 + 9/5*u**3 + 0 + 0*u + 3/5*u**5.
3*u**2*(u - 1)**3/5
Let p(l) = 3*l**4 + 96*l**3 + 177*l**2 + 6*l + 27. Let k(o) = 9*o**4 + 288*o**3 + 532*o**2 + 16*o + 72. Let g(q) = 3*k(q) - 8*p(q). Factor g(z).
3*z**2*(z + 2)*(z + 30)
Let b(p) = -p - 15. Let k be b(-11). Let x be (((-44)/28)/(-11))/(k/(-8)). Find h, given that 0*h - x*h**2 + 2/7 = 0.
-1, 1
Let w(v) be the first derivative of v**4/12 + 106*v**3/3 - v**2/6 - 106*v + 3592. Factor w(z).
(z - 1)*(z + 1)*(z + 318)/3
Suppose 13*v = 4 + 7 + 15. Solve 4/5*u**5 + 0*u - 4/5*u**v + 0 + 4/5*u**4 - 4/5*u**3 = 0.
-1, 0, 1
Let r(d) = -d**3 + 3*d**2 - 3*d + 1. Let y(f) = 2*f**3 + 62*f**2 - 290*f - 974. Let h(m) = -6*r(m) - y(m). Factor h(p).
4*(p - 11)**2*(p + 2)
Let o be (9/4 - (-240)/(-96))/(1/(-4 - -3)). Suppose -3 + 3/4*a**2 + o*a**3 - a = 0. Calculate a.
-3, -2, 2
Let q(t) be the third derivative of -3*t**8/280 - 208*t**7/175 - 5303*t**6/150 + 728*t**5/15 - 245*t**4/12 + 2217*t**2. Determine x, given that q(x) = 0.
-35, 0, 1/3
Let h(l) be the third derivative of -11/30*l**6 + 0*l + 0 + 0*l**3 - 3/224*l**8 - 4/35*l**7 - 1/3*l**4 + 19*l**2 - 8/15*l**5. Determine i so that h(i) = 0.
-2, -2/3, 0
Factor 1177200*y - 216000 + 11/2*y**4 + 989*y**3 + 59220*y**2.
(y + 60)**3*(11*y - 2)/2
Let z(q) = q**2 + 6*q + 5. Let a be z(-5). Let r = 142908 - 142908. Let -4/5*c**5 + 0*c**2 + 8/5*c**4 + 0*c + a*c**3 + r = 0. What is c?
0, 2
Let q(w) be the third derivative of -w**6/200 + 41*w**5/50 + w**4/40 - 41*w**3/5 - 774*w**2. Factor q(s).
-3*(s - 82)*(s - 1)*(s + 1)/5
Find q, given that -1/3*q**3 + 4 + 11/3*q - 2/3*q**2 = 0.
-4, -1, 3
Let a(y) be the first derivative of -y**6/24 + 2*y**5/3 - 65*y**4/24 + 5*y**3 - 16*y**2 + 46. Let n(w) be the second derivative of a(w). Factor n(d).
-5*(d - 6)*(d - 1)**2
Let g(z) be the third derivative of z**5/60 - 47*z**4/3 - 377*z**3/6 + 4339*z**2. Solve g(a) = 0 for a.
-1, 377
Let b(k) be the first derivative of 7*k**2 + 2/3*k**3 + 66 - 36*k. Factor b(x).
2*(x - 2)*(x + 9)
Let u be (-28)/(5/(0 + -5)). Let a = u - 25. Let 8*v**2 + 7*v**2 + 2*v**4 + 3*v**2 - 12*v**a = 0. What is v?
0, 3
Let c(k) be the second derivative of 0 - 1/5*k**5 - 111*k + 11/3*k**4 - 70/3*k**3 + 50*k**2. Let c(f) = 0. What is f?
1, 5
Let l(p) be the second derivative of p + 0*p**5 - 24 + 0*p**2 + 0*p**3 - 1/240*p**6 + 1/96*p**4. Suppose l(f) = 0. What is f?
-1, 0, 1
Suppose 240 = x + 2*x. Let w be 636/371 - (-2)/7. Solve -x*k + 2*k**3 + 80*k + 3*k**w + 3*k**2 = 0.
-3, 0
Let u(q) be the third derivative of q**6/90 + q**5/6 + 2*q**4/3 + q**3/6 + 14*q**2. Let f(b) be the first derivative of u(b). What is y in f(y) = 0?
-4, -1
Suppose -184*n + 17*n**2 - 191844 + 1936*n - 21*n**2 = 0. Calculate n.
219
Suppose 31 = 3*r + 22. Suppose 0 = -r*l - 2*l + 20. Factor -15*o**3 + 12*o**2 - 2*o**4 - 27*o**2 - 3*o**l - 5*o.
-5*o*(o + 1)**3
Let j(l) = 8*l**3 + 18*l**2 - 2*l + 6. Let g(b) = 17*b**2 - 3*b + 5 + b**3 - 2*b**3 + 7*b**3. Let u(p) = 6*g(p) - 5*j(p). Factor u(x).
-4*x*(x - 2)*(x - 1)
Factor 78/5*j**3 + 0*j + 0 + 396/5*j**2 + 2/5*j**4.
2*j**2*(j + 6)*(j + 33)/5
Let x(a) = a**3 + 7*a**2 + 4*a. Let p = 192 - 190. Let c(n) = -n**3 - 8*n**2 - 4*n. Let g(r) = p*c(r) + 3*x(r). Factor g(y).
y*(y + 1)*(y + 4)
Let o be ((-8)/(-10))/(((-56)/(-20))/7). Suppose 3*f - 2*f = -5*t + 14, -o*t - 12 = -4*f. Factor 4/5*n + 6/5*n**3 + 0 - t*n**2.
2*n*(n - 1)*(3*n - 2)/5
Let n = 56 + -59. Let f be (n*(3 - 2))/(33/(-2)). Determine b so that -f*b + 2/11*b**2 - 4/11 = 0.
-1, 2
Solve 14*g**3 - 35*g - 8*g**4 - 2*g**3 + 18*g - 4*g**5 + 17*g = 0.
-3, 0, 1
Let a = 349119 - 349117. Factor -39/7*t + 9/7 + 12/7*t**a.
3*(t - 3)*(4*t - 1)/7
Let n(a) = 11*a**2 + 193*a - 184. Let k(y) = 26*y**2 + 388*y - 369. Let d(i) = 4*k(i) - 9*n(i). Determine 