0 + 2*s**3 + 0*s + 5/3*s**4. Determine m so that i(m) = 0.
-3, -1
Let z(o) be the third derivative of -o**8/5040 + o**7/1890 + 11*o**4/24 + 15*o**2. Let s(h) be the second derivative of z(h). Solve s(i) = 0 for i.
0, 1
Factor 1/5*u**2 - 408/5*u + 41616/5.
(u - 204)**2/5
Let y be ((-2)/(-5) - 0)/((-27)/(-30)). Let d = y - 1/9. Factor 0 + 1/3*t**4 + 0*t - 1/3*t**3 + d*t**5 - 1/3*t**2.
t**2*(t - 1)*(t + 1)**2/3
Let v(z) = -z - 1. Let b be v(-9). Suppose 6*a - b = 4*a. Suppose -33*f**3 - a*f - 12*f**2 - 8*f - 34*f**3 + 64*f**3 = 0. Calculate f.
-2, 0
Let w(v) be the first derivative of -v**6/15 + v**5/5 + 11*v + 8. Let o(s) be the first derivative of w(s). Find f such that o(f) = 0.
0, 2
Let s(b) be the third derivative of 2*b**2 + 0*b**4 + 0*b**5 + 0 + 0*b + 1/630*b**7 + 0*b**3 + 1/360*b**6. Factor s(j).
j**3*(j + 1)/3
Let o(u) = 3*u - 30. Let w be o(15). Factor 201*s**2 + 8*s - 202*s**2 - 1 - w.
-(s - 4)**2
Let n(j) be the first derivative of -j**7/630 - j**6/90 - j**5/45 - 4*j**2 - 13. Let s(u) be the second derivative of n(u). Find m, given that s(m) = 0.
-2, 0
Factor -50 + 104*n - 15*n**2 + 20 - 10*n**2 - 39*n.
-5*(n - 2)*(5*n - 3)
Find f, given that -29/6*f**2 + 0 - 1/6*f**3 + 0*f = 0.
-29, 0
Let h(t) = -12 + 4*t**3 + 8*t - 3*t**3 + 0*t**2 - t**2 - 4*t**3. Let z(i) = -i**2 - i. Let r(a) = h(a) - 4*z(a). Find o such that r(o) = 0.
-2, 1, 2
Let j(c) = -5*c**3 - 8*c**2 + c - 7. Let d be j(-4). Let s = 1271/7 - d. Solve 2/7*r**5 - 6/7*r**3 + 0 + s*r - 2/7*r**4 + 2/7*r**2 = 0 for r.
-1, 0, 1, 2
Suppose 0 = -u + 4. Suppose 3*d + 30 = 4*q - 140, 84 = 2*q - 2*d. Factor -q*p**2 + 607*p**u - 40*p**4 + 0*p - 8*p + 90*p**3.
p*(7*p - 2)*(9*p + 2)**2
Factor -5/8*o + 0 + 1/8*o**3 + 1/2*o**2.
o*(o - 1)*(o + 5)/8
Let 4/7 - 4/7*a**4 - 19/7*a**3 - 8/7*a - 27/7*a**2 = 0. What is a?
-2, -1, 1/4
Suppose 0 = 2*q + 2*n - 14, 0*n + n = -3*q + 23. Suppose -5*d + q + 7 = 0. Let -2/9 - 2*i**d - 14/9*i - 10/3*i**2 = 0. What is i?
-1, -1/3
Let n(y) be the second derivative of y**6/55 + 3*y**5/22 + 7*y**4/22 + 3*y**3/11 - y - 57. Factor n(i).
6*i*(i + 1)**2*(i + 3)/11
Let c be (-6)/11 + ((-2376)/(-363) - 4). Let 4/3*w**4 - 14/3*w**c + 0 + 7/3*w**3 + w = 0. What is w?
-3, 0, 1/4, 1
Let c(u) = -u**3 + u**2 - u. Let z(k) = -4*k**5 + 12*k**4 + 5*k**3 - 21*k**2 + 5*k. Let t be (-3 + 1 + 11/(-22))*2. Let p(b) = t*c(b) - z(b). Solve p(j) = 0.
-1, 0, 2
Let p(z) = -2*z - 9. Let k be p(-6). Let l(w) = -2*w - 2. Let o be l(-2). Let 0*n**o + n**2 - 6*n - k + 12 = 0. What is n?
3
Suppose 3*u = 4*n - 10, -11 = u - 5*n - 4. Let y(x) = 2*x**2 - 4*x - 14. Let r(v) = -3 - 3 + 3 + 3 - 1. Let a(i) = u*y(i) + 28*r(i). Solve a(c) = 0.
0, 2
Suppose o = 5*r + 20, 3*r + 15 = -2*r. What is u in u - 12*u**4 + 11*u**4 + 3*u**4 - 2*u**2 - u**o = 0?
-1, 0, 1
Let h = -1454 - -1460. Let v(a) be the first derivative of 1/4*a**2 - 3/16*a**4 + 0*a - 1/20*a**5 + 1/12*a**3 + 1/24*a**h + 1. Solve v(r) = 0 for r.
-1, 0, 1, 2
Let f be (-1)/3 + 496/93. Let k(d) be the second derivative of 0*d**2 + 0*d**3 + 2/21*d**7 + 2*d - 1/6*d**4 + 1/6*d**6 - 7/20*d**f + 0. Factor k(c).
c**2*(c - 1)*(c + 2)*(4*c + 1)
Factor 2/11*i**5 + 0*i**2 + 0 + 30/11*i**4 + 0*i - 68/11*i**3.
2*i**3*(i - 2)*(i + 17)/11
Let c(h) = h**5 - h**4 + 14*h**3 - 6*h**2 + h - 1. Let i = -28 - -29. Let k(u) = 2*u**2 + u**4 - i - u**2 + 1 - u + u**3. Let a(b) = c(b) - 4*k(b). Factor a(w).
(w - 1)**5
Let y(m) be the second derivative of m**6/240 + m**5/32 + 5*m**4/96 - 5*m**3/48 - 3*m**2/8 - 125*m. Suppose y(g) = 0. What is g?
-3, -2, -1, 1
Let f(j) = -j**2 + 121*j - 3057. Let m be f(85). Factor -2/3*x + 0 - 5/3*x**2 - x**m.
-x*(x + 1)*(3*x + 2)/3
Let r(y) = -y**3 + 5*y**2 + 15*y + 1. Let m be r(7). Find p, given that m*p**2 - 7*p**2 + 11*p**2 + 4*p**3 + 12*p - 2 + 6 = 0.
-1
Let k(j) = -8*j**3 + 34*j**2 - 60*j - 2. Let i(c) = 10*c**3 - 35*c**2 + 58*c + 3. Let g(v) = 2*i(v) + 3*k(v). Factor g(l).
-4*l*(l - 4)**2
Let a(d) be the third derivative of -d**5/210 - d**4/14 - 3*d**3/7 - 22*d**2. Let a(x) = 0. What is x?
-3
Determine h so that 20/19*h + 42/19 + 2/19*h**2 = 0.
-7, -3
Let j(h) be the first derivative of 0*h - 4 - 1/21*h**3 + 1/28*h**4 - 1/70*h**5 + 1/420*h**6 - 3/2*h**2. Let b(a) be the second derivative of j(a). Factor b(i).
2*(i - 1)**3/7
Let j = -6 + 8. Solve 69 - 69 + 4*r**2 + 0*r**j - 4*r = 0 for r.
0, 1
Let 567/4*h + 69/2*h**2 - 73/4*h**3 + 3/2*h**4 - 49/2 = 0. Calculate h.
-2, 1/6, 7
Factor 5*g**5 + 42*g**3 + 4*g**4 - 87*g**3 + 7*g**2 + 11*g**4 + 18*g**2.
5*g**2*(g - 1)**2*(g + 5)
Let n(y) = -y**2 - 16*y - 28. Let l be n(-14). Suppose l = -7*k + 29 - 1. Determine m, given that 1/2*m**3 + 1/2*m**k + 0 + 0*m + 0*m**2 = 0.
-1, 0
Let o(k) = -10*k**3 + 3*k**2 - 10*k + 13. Let v be o(2). Let d = -75 - v. Factor 1/5*p**4 + 1/5 - 2/5*p**2 + d*p + 0*p**3.
(p - 1)**2*(p + 1)**2/5
Let a(k) be the first derivative of k**3/6 + 7*k**2/4 + 5*k + 7. What is p in a(p) = 0?
-5, -2
Suppose 5*y = -3*y. Let v(x) be the third derivative of -5*x**2 + 0*x**6 - 1/945*x**7 + 0*x**4 + y*x + 0 + 1/270*x**5 + 0*x**3. Factor v(n).
-2*n**2*(n - 1)*(n + 1)/9
Let b(u) be the second derivative of u**6/120 + u**5/10 + u**4/2 + 7*u**3/3 + 2*u. Let m(y) be the second derivative of b(y). Factor m(d).
3*(d + 2)**2
Let f(m) be the third derivative of m**7/504 + m**6/48 + m**5/12 - 3*m**4/4 - 16*m**2. Let u(o) be the second derivative of f(o). Solve u(g) = 0 for g.
-2, -1
Let a(n) be the second derivative of 3*n**5/20 - 19*n**4/4 + 35*n**3/2 - 51*n**2/2 - 28*n - 4. Let a(q) = 0. What is q?
1, 17
Let l(x) = -x**2 + 17*x - 68. Let f be l(7). Let k(t) be the first derivative of -3/2*t + 8 - 1/6*t**3 + t**f. Factor k(w).
-(w - 3)*(w - 1)/2
Suppose -10*z = -0 - 20. Solve -6/5*a**5 - 22/15*a**4 + 14/15*a**3 + 0 + 22/15*a**z + 4/15*a = 0.
-1, -2/9, 0, 1
Let n = -32 + 8. Let p be 0 - -3 - n/(-18). Solve 40/3*g**2 - 35*g + 30 - p*g**3 = 0.
2, 3
Let a(h) = -3*h**3 + 3*h**2 + 7*h. Let n(w) = w**3. Let g(u) = -a(u) - 5*n(u). Let s(f) = -14*f**3 - 20*f**2 - 50*f. Let c(v) = -44*g(v) + 6*s(v). Factor c(d).
4*d*(d + 1)*(d + 2)
Let n be 3 - (-4 + 5 + 0). Let -9*a**4 - a**4 + 5*a**4 + 5*a**n - 10*a**4 - 10*a**3 = 0. Calculate a.
-1, 0, 1/3
Let x(m) be the first derivative of -17*m**4 + 20*m**3 + 4*m**2 + 206. Determine u so that x(u) = 0.
-2/17, 0, 1
Suppose 6*y - 9*y = -18. Let h(i) be the first derivative of -3/2*i**4 + 4*i - y*i**2 + 13/3*i**3 + 1/5*i**5 + 2. Factor h(d).
(d - 2)**2*(d - 1)**2
Let h(c) = -2*c**3 - 9*c**2 - 27*c - 16. Let d(n) = n**3 - n**2 - 2. Let m(o) = 5*d(o) + 5*h(o). Suppose m(b) = 0. What is b?
-6, -3, -1
Let c(t) be the third derivative of 9/10*t**3 + 0*t + 0 - 9/40*t**4 - 1/600*t**6 - 3*t**2 + 3/100*t**5. Let c(i) = 0. What is i?
3
Let y be (32/(-88))/(43/(-258)). Determine n, given that -y*n + 2/11*n**2 + 72/11 = 0.
6
Let y be ((-3)/(12/2))/(3/(-30)). Solve 10*p**2 - 49*p**3 + 88*p**3 + y*p - 54*p**3 = 0.
-1/3, 0, 1
Let v be (-70)/(-35)*52*3/42. Factor v*b**2 - 2/7 + 5/7*b.
(4*b + 1)*(13*b - 2)/7
Let g be 18377/6120 - 3/1. Let j(p) be the third derivative of 0 + g*p**5 + 1/18*p**3 + 1/48*p**4 + 0*p + 5*p**2. Factor j(m).
(m + 1)*(m + 2)/6
Let j(s) be the second derivative of -1/20*s**5 - s**2 - 1/3*s**4 - 5/6*s**3 - 17*s + 0. Factor j(i).
-(i + 1)**2*(i + 2)
Let o(s) be the second derivative of 1/30*s**6 + 0 - 1/12*s**4 - 3*s - 1/3*s**3 + 1/10*s**5 + 0*s**2. Factor o(c).
c*(c - 1)*(c + 1)*(c + 2)
Let x(d) be the first derivative of -d**7/231 + d**6/165 + d**5/110 - d**4/66 - 2*d + 8. Let v(c) be the first derivative of x(c). Determine l so that v(l) = 0.
-1, 0, 1
Let u(i) be the third derivative of -17*i**7/280 + i**6/10 + i**5/80 - 4*i**2 - 7. Solve u(d) = 0.
-1/17, 0, 1
Factor -216/11*t + 5832/11 + 2/11*t**2.
2*(t - 54)**2/11
Let r = -101519/90 - -1128. Let c(o) be the second derivative of 0*o**2 + 0 - 1/189*o**7 + 0*o**3 - 1/54*o**4 + 2*o + 1/135*o**6 + r*o**5. Factor c(j).
-2*j**2*(j - 1)**2*(j + 1)/9
Let o = -1625 - -1628. Factor -1/7*v**o + 0*v + 1/7*v**5 + 0*v**4 + 0 + 0*v**2.
v**3*(v - 1)*(v + 1)/7
Suppose 0*l + 28 = -2*l. Let c(f) = -f**2 - 15*f - 10. Let z be c(l). Find t such that 0*t - 7/3*t**3 + 0 + 7/3*t**5 - 2/3*t**2 + 2/3*t**z = 0.
-1, -2/7, 0, 1
Let k = 2237 - 6652/3. Let -k*u**2 - 28/3*u - 35/3*u**3 - 4/3 = 0. Calculate u.
-1, -2/5, -2/7
Let c(l