 be the third derivative of -v**8/560 + v**7/175 + v**6/50 - 2*v**5/25 - 60*v**2. Factor i(u).
-3*u**2*(u - 2)**2*(u + 2)/5
Let d(f) = 7*f**5 - 9*f**4 + 12*f**2 - 10*f. Let s(q) = -11*q**5 + 14*q**4 - q**3 - 18*q**2 + 16*q. Let r(v) = -8*d(v) - 5*s(v). Suppose r(l) = 0. Calculate l.
-2, 0, 1, 3
Find p, given that -51*p**5 + 2028*p - 156*p**2 + 14*p**5 + 156*p**4 + 12*p**5 - 2025*p**3 + 22*p**5 = 0.
-1, 0, 1, 26
Let v(p) = -p**2 - 46*p + 563. Let w be v(-56). Let r(z) be the third derivative of 0*z**w - 5*z**2 - 1/42*z**4 - 1/30*z**5 + 0 - 1/140*z**6 + 0*z. Factor r(x).
-2*x*(x + 2)*(3*x + 1)/7
Suppose 2*f**3 + 18*f**2 - 3*f**2 + 5*f - 7*f**3 + 40*f - 135 = 0. Calculate f.
-3, 3
Factor -26 - 38/3*h - 4/3*h**2.
-2*(h + 3)*(2*h + 13)/3
Let q be 345/(-46)*3/((-18)/(-16)). Let o = -31/2 - q. Factor o - 3*j + 1/2*j**2.
(j - 3)**2/2
Let w(t) = -64*t**2 + 14*t - 1. Let l(d) = -320*d**2 + 69*d - 5. Let g(i) = -2*l(i) + 11*w(i). Suppose g(u) = 0. What is u?
1/8
Suppose 0 = 2*r + 3*p - 9, p = 2*r + 3*r - 14. Suppose -r*z = z - 8. Factor 4 - 7*u**2 - 4*u + 9*u**2 - u**z.
(u - 2)**2
Let x be (30/(-81))/(-5 + (-56)/(-12)). Let m = x + -4/9. Suppose m*c**4 + 44/9*c**3 - 40/9*c**5 + 0 - 4/9*c - 2/3*c**2 = 0. Calculate c.
-1, -1/4, 0, 2/5, 1
Let d = -10132/7 - -1448. Suppose 2/7*g + 2/7*g**3 - d*g**2 + 0 = 0. What is g?
0, 1
Let k(s) be the second derivative of -1/36*s**4 + 0 - 3/2*s**2 - 1/3*s**3 + 19*s. Factor k(z).
-(z + 3)**2/3
Let s(a) be the first derivative of 13/4*a**4 + 0*a + 0*a**2 - 2/3*a**3 + 4 + 3*a**5. Let s(y) = 0. What is y?
-1, 0, 2/15
Determine z so that -3/10*z**3 - 1/5*z + 0 + 1/10*z**4 + 1/10*z**5 - 1/2*z**2 = 0.
-1, 0, 2
Let h(k) be the second derivative of k**6/90 - 3*k**5/20 + k**4/2 + 16*k**3/9 - 16*k**2 + 363*k. Factor h(y).
(y - 4)**2*(y - 3)*(y + 2)/3
Let f(v) be the first derivative of v**6/90 - v**5/60 - v**4/36 + v**3/18 - 2*v - 5. Let n(a) be the first derivative of f(a). Factor n(c).
c*(c - 1)**2*(c + 1)/3
Let k = 361 - 357. Let z(g) be the third derivative of 0*g**k + 1/240*g**5 + 0*g + 0 - 1/24*g**3 - 6*g**2. Factor z(q).
(q - 1)*(q + 1)/4
Let s(i) be the third derivative of i**9/30240 - i**7/2520 - 41*i**5/60 + 31*i**2. Let g(n) be the third derivative of s(n). Factor g(x).
2*x*(x - 1)*(x + 1)
Let z(s) be the third derivative of -s**8/1344 + s**6/240 - s**4/96 - 222*s**2 + s. Factor z(w).
-w*(w - 1)**2*(w + 1)**2/4
Let n = -1/85 + 33/1360. Let i(r) be the second derivative of 1/48*r**4 + 5*r + 0 + 0*r**2 + 0*r**3 - n*r**5. Suppose i(w) = 0. Calculate w.
0, 1
Let w(q) = q + 8. Let v be w(-6). Let x(f) = -f**3 - 10*f**2 + 11*f + 2. Let p be x(-11). Factor 2*s**2 + 2*s - 3*s + s**v - 2 - 2*s**p.
(s - 2)*(s + 1)
Suppose -5*m - 5*j + 15 = 0, j = m + 1 - 6. Factor 13*r**2 + 207*r**4 + m*r - 196*r**4 + 21*r**3 + 3*r**2 + 2*r**5.
r*(r + 1)*(r + 2)**2*(2*r + 1)
Let p(f) = -30*f**3 - 275*f**2 + 540*f - 310. Let r(t) = -t**3 - t**2 + t + 4. Let c(d) = p(d) + 25*r(d). Find s such that c(s) = 0.
-7, 6/11, 1
Let d be 6*(207/(-27) + 5 - -3). Solve 0 - 9/2*x**d - 3/2*x**3 - 3*x = 0.
-2, -1, 0
Let u(o) = -7*o**2 - 19*o - 77. Let n(w) = 10*w**2 + 3*w + 45. Let x(k) = k**2 - k + 1. Let d(y) = n(y) - 6*x(y). Let t(f) = -5*d(f) - 3*u(f). Factor t(j).
(j + 6)**2
Solve -l**3 - 2*l**3 + 14*l**3 - 21*l**2 - 7*l**3 + 15552*l - 186624 - 411*l**2 = 0 for l.
36
Let v(r) = 3*r**4 - 25*r**3 + 18*r**2 - 3. Let i(j) = 4*j**4 - 24*j**3 + 16*j**2 - 2. Let q(z) = -6*i(z) + 4*v(z). Solve q(n) = 0 for n.
0, 2/3, 3
Let l = 184517/273240 + -2/6831. Let m(u) be the third derivative of 0*u + 0 + 4*u**2 + 1/200*u**6 - 27/10*u**3 + l*u**4 - 9/100*u**5. Solve m(o) = 0.
3
Suppose 0 = -11*h + 253 - 11. Let g be h/48 + 25/(-200). Let -5/3*v**4 + 0*v + 8/3*v**3 + g*v**5 - 4/3*v**2 + 0 = 0. What is v?
0, 1, 2
Let n(t) = t**3 + 8*t**2 - 21*t - 8. Let y be n(-10). Suppose 24*c - 3*c**2 + 0*c**y - 45*c = 0. Calculate c.
-7, 0
Let w be 196/(-63)*-4 + -12. Suppose 0 + 0*a**3 - 8/9*a**2 - 4/9*a + 8/9*a**4 + w*a**5 = 0. What is a?
-1, 0, 1
Let b = 34/517 - -4585/1034. Suppose 0*m**2 - 15*m - b*m**4 + 15*m**3 + 9/2 = 0. Calculate m.
-1, 1/3, 1, 3
Let n be ((-3)/(-1))/(42/112). Let s be -8 + n - (-1)/6*2. Factor -s + 0*h + 1/3*h**2.
(h - 1)*(h + 1)/3
Let b(g) be the third derivative of -g**10/10080 + g**9/5040 + g**8/2240 - g**7/840 - 5*g**4/8 + g**2. Let c(w) be the second derivative of b(w). Factor c(p).
-3*p**2*(p - 1)**2*(p + 1)
Find d, given that 16/23 - 8/23*d + 2/23*d**3 - 4/23*d**2 = 0.
-2, 2
Let o(c) = 12*c**4 - 96*c**3 + 150*c**2 + 39*c. Let i(x) = x**3 + 2*x**2 + 2*x. Let h(k) = -3*i(k) - o(k). Factor h(z).
-3*z*(z - 5)*(z - 3)*(4*z + 1)
Let t(h) be the third derivative of 2*h**7/21 + 23*h**6/24 - 17*h**5/6 + 35*h**4/24 - 98*h**2. Factor t(z).
5*z*(z - 1)*(z + 7)*(4*z - 1)
Suppose 6*v = 8*v + 1428. Let p = v - -5006/7. What is z in 0 - p*z + 2/7*z**2 = 0?
0, 4
Let g(n) = -n**3 + 10. Let c be g(2). Factor 4/5*u**c - 24/5*u + 4.
4*(u - 5)*(u - 1)/5
Let u(b) be the second derivative of b**5/15 + 2*b**4/3 + 2*b**3 - 7*b**2/2 - 11*b. Let t(j) be the first derivative of u(j). Find k, given that t(k) = 0.
-3, -1
Let p(h) = 8*h**3 + 342*h**2 + 18798*h + 351226. Let m(i) = 23*i**3 + 1025*i**2 + 56397*i + 1053679. Let n(o) = 6*m(o) - 17*p(o). Suppose n(q) = 0. Calculate q.
-56
Find k such that 6 - 4 + 39 + 80 - 143*k + 23*k**2 - 18*k**3 + 17*k**3 = 0.
1, 11
Let h(p) be the first derivative of 15/14*p**2 - 22 - 1/7*p**3 + 18/7*p. Determine c so that h(c) = 0.
-1, 6
Let z(a) be the first derivative of 139/8*a**4 + 21*a**3 + a**6 + 13*a**2 + 11 + 4*a + 34/5*a**5. What is n in z(n) = 0?
-2, -2/3, -1/2
Suppose -3*x - x = 80. Let g be (34/(-20))/(8/x) + -3. Factor b**2 + 1/2 - 1/4*b**3 - g*b.
-(b - 2)*(b - 1)**2/4
Let x(t) be the third derivative of t**8/2520 + t**7/175 + t**6/30 + 23*t**5/225 + 11*t**4/60 + t**3/5 - 2*t**2 + 26. Factor x(y).
2*(y + 1)**3*(y + 3)**2/15
Factor 42 - 164*h**2 - 29 - h**3 + 179*h**2 - 27*h.
-(h - 13)*(h - 1)**2
Let f(y) be the first derivative of -1/30*y**5 - 4 + 0*y - 1/12*y**4 + 0*y**3 + 0*y**2. Factor f(j).
-j**3*(j + 2)/6
Let v(j) be the first derivative of 5*j**4/4 + 530*j**3 + 84270*j**2 + 5955080*j - 242. Factor v(u).
5*(u + 106)**3
Let u(x) be the first derivative of -5*x**4/4 + 5*x**3/3 + 25*x**2 + 40*x - 198. Factor u(y).
-5*(y - 4)*(y + 1)*(y + 2)
Let l(p) = -p**3 - 2*p**2 - 9*p. Let u be l(0). Factor -4/9*b**4 + 0*b**2 + u + 0*b + 2/9*b**5 + 0*b**3.
2*b**4*(b - 2)/9
Let a(l) be the third derivative of l**5/360 + 101*l**4/36 + 10201*l**3/9 - 763*l**2. Let a(m) = 0. Calculate m.
-202
Factor -418*j**2 - j**5 + 46*j**4 + 372*j**2 + 45*j + 20*j**3 - 26*j**3 - 24*j**3 - 14*j**3.
-j*(j - 45)*(j - 1)**2*(j + 1)
Factor 243/5*i**3 + 84/5 + 1593/5*i**2 - 744/5*i.
3*(i + 7)*(9*i - 2)**2/5
Factor 4*x - 2/7*x**2 - 48/7.
-2*(x - 12)*(x - 2)/7
Let b(v) be the third derivative of -v**6/960 - v**5/120 - v**4/64 + 8*v**2 - 4*v. Factor b(i).
-i*(i + 1)*(i + 3)/8
Factor 4/3*x**2 + 8/3*x**3 + 0*x + 0 - 5/3*x**4.
-x**2*(x - 2)*(5*x + 2)/3
Let j(s) = 2*s**2 + 7*s - 15. Let w be j(4). Let g = 767/17 - w. Determine t, given that -2/17*t**3 + 4/17*t**2 + g*t - 4/17 = 0.
-1, 1, 2
Let u be 6 - (-12)/8*-2. Factor 7*p**2 - 92*p**u + 94*p**3 - 54 - p**2 - 18*p.
2*(p - 3)*(p + 3)**2
Let w(m) be the first derivative of m**4/8 - 4*m**3/3 + 21*m**2/4 - 9*m - 142. Determine f, given that w(f) = 0.
2, 3
Let l = -1739 + 1743. Let f(b) be the third derivative of 0*b - 14/135*b**5 + 2/3*b**3 + 11/36*b**l - 8*b**2 + 0 + 1/108*b**6. Factor f(g).
2*(g - 3)**2*(5*g + 2)/9
Let u = 184 + -99. Let f be (4/(-5))/((-34)/u). Factor -7*q - 2 + 10*q - q**2 + 2*q**2 - 2*q**f.
-(q - 2)*(q - 1)
Let s(n) be the third derivative of -n**9/15120 + n**7/1260 + n**5/30 + 13*n**2. Let b(w) be the third derivative of s(w). Factor b(r).
-4*r*(r - 1)*(r + 1)
Let p(d) be the first derivative of -8 + 29*d**3 - 6*d - 21*d**4 + 3/2*d**2. What is l in p(l) = 0?
-1/4, 2/7, 1
Let p(u) be the second derivative of -4*u - 1/132*u**4 - 4/33*u**3 - 7/22*u**2 + 5. Factor p(w).
-(w + 1)*(w + 7)/11
Let a(o) = 2*o**3 + 19*o**2 + 4*o - 391. Let w(h) = h**3 + 10*h**2 + 4*h - 195. Let u(q) = -3*a(q) + 7*w(q). Suppose u(t) = 0. Calculate t.
-8, 3
Let o = 42 - 21. Suppose 0 = -7*x - 7 + o. Factor -4/3*r + 0 + 2*r**3 + 2*r**5 -