
Factor 0*z - 154/15*z**3 - 2/15*z**5 + 8/3*z**4 - 484/15*z**2 + 0.
-2*z**2*(z - 11)**2*(z + 2)/15
Let l(x) be the third derivative of x**7/420 + x**6/80 + x**5/60 - 69*x**2. Factor l(i).
i**2*(i + 1)*(i + 2)/2
Let p(t) = -t**2 - 4*t + 5. Let m be p(-4). Factor 13*f**2 + 2*f**3 - 23*f**2 - 7*f**3 - m*f.
-5*f*(f + 1)**2
Let q be (-2)/1 + 3/18 + 2. Let i(c) be the first derivative of 1/2*c**4 - 1/2*c**2 - c - q*c**6 + 2/3*c**3 - 1 - 1/5*c**5. Suppose i(d) = 0. Calculate d.
-1, 1
Let n(q) be the third derivative of 1/57*q**3 + 0*q + 9*q**2 + 1/228*q**4 - 1/1140*q**6 - 1/570*q**5 + 0. Suppose n(s) = 0. What is s?
-1, 1
Let n be 6 + 2 - (2 + 0). Let 0*m - m + n*m + 4*m**2 - m = 0. What is m?
-1, 0
Factor w - 388 - 36*w + 4*w**2 - 121*w + 60.
4*(w - 41)*(w + 2)
Let u(p) = 14*p**4 - 38*p**3 + 27*p**2 - 2*p - 7. Let l(m) = -70*m**4 + 190*m**3 - 134*m**2 + 10*m + 36. Let x(f) = -3*l(f) - 16*u(f). Solve x(n) = 0.
-2/7, 1
Let o be (33/15 + 3/(-1))*-5. Solve 133*g**2 - 10*g**o + 85*g**3 + 3*g**4 - 13*g**4 - 153*g**2 = 0.
0, 1/4, 4
Suppose 0 = -11*f + 1929 + 1976. Let w be (-2)/3 - (-6 + f/75). Determine r so that w*r**2 + 3/5*r - 3/5*r**4 - 3/5*r**3 + 0 = 0.
-1, 0, 1
Let q(f) = f**2 - 4*f - 8. Let b be q(5). Let d be -6 - -3 - (b - 9/1). Determine v, given that -28*v**2 - 9/2*v**3 - d - 93/2*v = 0.
-3, -2/9
Let a = -1578 - -1578. Factor 2*n**4 + 0*n**2 + a*n + 2*n**3 + 0 + 1/2*n**5.
n**3*(n + 2)**2/2
Let n(s) = -s**3 - s**2 + s + 2. Let z(d) = 8*d**3 + 4*d**2 - 4*d - 15. Let y(c) = 14*n(c) + 2*z(c). Factor y(h).
2*(h - 1)**3
Let r(m) be the third derivative of m**5/300 - 7*m**4/15 + 392*m**3/15 - 40*m**2. What is x in r(x) = 0?
28
Let h(q) be the first derivative of 2*q**5/95 - 4*q**4/19 + 4*q**3/57 + 80*q**2/19 - 150*q/19 + 224. Let h(n) = 0. Calculate n.
-3, 1, 5
Let g(r) be the second derivative of r**7/1260 + r**6/18 + 5*r**5/3 - 19*r**4/6 - 37*r. Let v(s) be the third derivative of g(s). Solve v(y) = 0.
-10
Let g = 8 - 2. Let v = g - 1. Let k(i) = 25*i**3 + 9*i**2 - 22*i - 14. Let o(b) = 49*b**3 + 18*b**2 - 43*b - 29. Let z(u) = v*k(u) - 2*o(u). Factor z(n).
3*(n - 1)*(3*n + 2)**2
Let q(h) = -4*h + 36. Let k be q(5). Suppose v - k = -3*l, 2*v - 5*l + 6 = -6. Determine w so that 1/4*w**v + 1/4*w**5 - 1/4*w**2 + 0*w + 0 - 1/4*w**3 = 0.
-1, 0, 1
Suppose 8 = 5*x - 2. Let b(q) be the first derivative of -2/3*q**x + 4/15*q**5 - 3 + 4/3*q - 2/9*q**6 + 2/3*q**4 - 8/9*q**3. Suppose b(h) = 0. What is h?
-1, 1
Let o be 5/(-3)*66/(-22). Factor 9*c**2 - 3*c**3 + o*c + 2*c**2 - 2*c**2 - 11*c.
-3*c*(c - 2)*(c - 1)
Suppose -10*o**2 - 9*o + 0 + 59/4*o**3 - 1/2*o**5 - 11/4*o**4 = 0. What is o?
-9, -1/2, 0, 2
Let d be (42/35)/((-198)/(-60) - 3). Let w(n) be the first derivative of -1/22*n**d - 2/11*n**2 + 0*n - 3 + 2/11*n**3. Let w(o) = 0. Calculate o.
0, 1, 2
Let x(a) = 5*a**2 + 5*a - 7. Let r be x(1). Let q(g) be the first derivative of 4 + 4/9*g + 7/9*g**2 + 2/45*g**5 + 2/3*g**r + 5/18*g**4. What is c in q(c) = 0?
-2, -1
Let l = 1537/8 - 192. Let q(i) be the third derivative of 0 + 0*i - l*i**4 - 9*i**2 - 1/40*i**5 + 0*i**3. What is k in q(k) = 0?
-2, 0
Let s = -10985 + 10988. Let 0 - 2/9*v**2 - 1/9*v**s + 0*v + 1/9*v**4 = 0. Calculate v.
-1, 0, 2
Find g, given that -95/2*g - 1/2*g**3 - 48*g**2 + 0 = 0.
-95, -1, 0
Let w(b) be the first derivative of 5*b**4/48 + 17*b**3/6 - 7*b**2/2 - 48*b + 13. Let r(m) be the first derivative of w(m). Factor r(f).
(f + 14)*(5*f - 2)/4
Determine p so that 3/5*p**2 - 1/5*p**3 + 0 + 0*p = 0.
0, 3
Let s(m) be the third derivative of -m**5/60 - m**3/6 + 32*m**2. Let c(l) = 2*l**3 + 4*l**2 - 2*l + 8. Let j(k) = -c(k) - 6*s(k). Factor j(r).
-2*(r - 1)**2*(r + 1)
Let l(s) be the second derivative of s**10/6048 - s**9/1008 + s**8/672 - s**4/2 + 8*s. Let h(w) be the third derivative of l(w). Suppose h(d) = 0. Calculate d.
0, 1, 2
Let v = -2773/77 - -36. Let y = 1157/154 + v. Factor 1/2 + 75/2*a**2 + 125/2*a**3 + y*a.
(5*a + 1)**3/2
Suppose -3*r + 38 = -22. Let t be r/9 + 18/(-81). Factor t*c**2 - c**4 + c**4 + 8*c**4 - 9*c**3 - c**3.
2*c**2*(c - 1)*(4*c - 1)
Let t(z) = 13*z**4 - 151*z**3 + 1591*z**2 - 9*z - 9. Let l(q) = -6*q**4 + 76*q**3 - 796*q**2 + 4*q + 4. Let d(f) = 9*l(f) + 4*t(f). Find p, given that d(p) = 0.
0, 20
Let a = 258731/9 - 28747. Suppose 0 - a*l - 2/9*l**2 = 0. Calculate l.
-4, 0
Let n(g) be the second derivative of 2*g**7/21 - 2*g**6/5 - 4*g**5/5 + 16*g**4/3 - 32*g**2 + 38*g. Factor n(y).
4*(y - 2)**3*(y + 1)*(y + 2)
Let u(y) = 88*y - 176. Let p be u(2). Solve 3*b - 3/2*b**2 + p = 0 for b.
0, 2
Let f(x) = -x**2 - x + 12. Let i be 11 + (-25)/5 + -10. Let n be f(i). Solve 1/2*h**4 + 3/2*h**3 + 0 + n*h**2 - 2*h = 0.
-2, 0, 1
Let u = -1374 + 1374. Factor 0 - 2/15*m**4 + 0*m**3 + u*m**2 + 2/5*m**5 + 0*m.
2*m**4*(3*m - 1)/15
Find c such that -3/10*c + 0 + 1/10*c**2 = 0.
0, 3
Let h(y) = -2*y**3 + 8*y**2 + 4*y - 12. Let l(q) = q**3 - 8*q**2 - 4*q + 14. Let a(w) = -3*h(w) - 2*l(w). Suppose a(v) = 0. Calculate v.
-1, 1, 2
Suppose 5*g - 2 - 33 = -5*k, 0 = -5*k - 2*g + 23. Suppose u + 5 = 2*r, -2 = -k*u - 5. Let -1 - 6*h + 1 - 6*h**2 + 3*h**r = 0. Calculate h.
-2, 0
Find u, given that -31/3*u**3 - 1/3*u**5 - 22/3*u**2 - 10/3*u**4 + 32/3*u + 32/3 = 0.
-4, -2, -1, 1
Let r(f) = -f + 1. Let v = -58 + 57. Let u(o) = -4*o**2 - 76*o - 244. Let q(z) = v*u(z) + 12*r(z). Solve q(g) = 0 for g.
-8
Let m(o) be the second derivative of 0 + 0*o**4 + 5*o + 0*o**6 + 0*o**3 - 2/21*o**7 + 1/5*o**5 + 0*o**2. Factor m(c).
-4*c**3*(c - 1)*(c + 1)
Let q(s) be the third derivative of -1/16*s**4 + 0 - 7/24*s**3 + 2*s**2 - 10*s + 1/240*s**5. Factor q(i).
(i - 7)*(i + 1)/4
Let m(c) = -17*c**3 - 585*c**2 + 580*c. Let d(s) = 3*s**3 + 117*s**2 - 116*s. Let k(z) = 33*d(z) + 6*m(z). Factor k(u).
-3*u*(u - 116)*(u - 1)
Let v(a) be the second derivative of 0 + 1/6*a**3 - a + 0*a**4 + 0*a**2 - 1/20*a**5. Factor v(o).
-o*(o - 1)*(o + 1)
Let o(q) be the second derivative of 11*q**4/36 - 47*q**3/18 + 7*q**2 + 187*q + 3. Factor o(a).
(a - 3)*(11*a - 14)/3
Let v(s) be the third derivative of -2/27*s**3 + 0*s - 11*s**2 - 1/540*s**6 + 0 + 1/108*s**4 + 1/135*s**5. Find j such that v(j) = 0.
-1, 1, 2
Suppose 59 = 3*p + 50. Let o(c) be the second derivative of 2*c + 0*c**4 + 0*c**p + 1/30*c**5 + 0 + 0*c**2. Determine i, given that o(i) = 0.
0
Let d(w) be the third derivative of w**8/30240 - w**7/945 + 2*w**6/135 - 3*w**5/10 + 6*w**2. Let u(f) be the third derivative of d(f). Factor u(g).
2*(g - 4)**2/3
Let q(k) be the second derivative of k**4/18 + 14*k**3/3 - 243*k. What is o in q(o) = 0?
-42, 0
Suppose -27 = 235*y - 244*y. Let b(x) be the second derivative of 16*x**2 + 0 - 8/3*x**y - 3*x + 1/6*x**4. Solve b(g) = 0 for g.
4
Let h(j) be the third derivative of -j**6/20 + 59*j**5/15 + 83*j**4/3 + 56*j**3 - j**2 + 50*j. Determine f, given that h(f) = 0.
-2, -2/3, 42
Let o = -81 + 649/8. Let a(z) be the second derivative of -1/12*z**3 + o*z**2 + 0 - 2*z + 1/48*z**4. Solve a(q) = 0.
1
Let b(y) be the second derivative of -2*y**6/15 - 11*y**5/5 - 8*y**4/3 + 40*y**3/3 + 97*y. Factor b(u).
-4*u*(u - 1)*(u + 2)*(u + 10)
Let m(w) = w**4 + 19*w**3 + w**2 - 7*w. Let p(z) = 3*z**3 - z. Let i(v) = 4*m(v) - 28*p(v). Factor i(c).
4*c**2*(c - 1)**2
Let q(t) be the second derivative of -t**5/48 + 17*t**4/96 - t**3/4 - 13*t**2/2 - 19*t. Let j(k) be the first derivative of q(k). Factor j(w).
-(w - 3)*(5*w - 2)/4
Let j(w) be the third derivative of w**5/20 + 21*w**4/4 + 441*w**3/2 + 46*w**2. Factor j(p).
3*(p + 21)**2
Let t = 1147/2246 - 12/1123. Factor 0 + 1/2*i**5 - t*i**4 - 1/2*i**3 + 1/2*i**2 + 0*i.
i**2*(i - 1)**2*(i + 1)/2
Let w = 3770/17 - 18748/85. What is s in -3/5*s**2 - 9/5*s - w = 0?
-2, -1
Suppose 0 = 49*r - 8696 + 8451. Find w, given that 5*w - 1 - 31/4*w**3 + 11/4*w**r - 13/4*w**4 + 17/4*w**2 = 0.
-1, 2/11, 1, 2
Let a be 2/3 + 12/(-45). Suppose -46*n + 11 = -2*t - 49*n, -3*t - 5*n - 19 = 0. Solve a*u - 2/5*u**t + 4/5 = 0 for u.
-1, 2
Let w = 13/6 - 5/6. Let j(o) be the first derivative of o**2 + 0*o + 3 - w*o**3 + 1/2*o**4. Determine v, given that j(v) = 0.
0, 1
Let g(v) be the second derivative of -5*v**4/9 + 76*v**3/9 + 32*v**2/3 + 76*v. Determine o, given that g(o) = 0.
-2/5, 8
Let g(x) = x. Let z(y) = y**2 - y - 1. Let h(c) = 4*g(c) - z(c). Let b be h(5). Factor 6 - 2 + 3*w*