*f**5 - 4*f**2 + 0 + u*f + 1/240*f**6. Factor m(o).
(o - 1)**2*(o + 2)/2
Let z(x) be the second derivative of -x**9/5040 + x**8/1680 + x**7/2520 - x**6/360 + 11*x**4/12 + 12*x. Let v(t) be the third derivative of z(t). Factor v(u).
-u*(u - 1)**2*(3*u + 2)
Let t(b) be the third derivative of -1/420*b**7 - 1/6*b**3 + 1/48*b**6 + 0 + 7/48*b**4 - 3/40*b**5 - 7*b**2 + 0*b. Factor t(d).
-(d - 2)*(d - 1)**3/2
Suppose 7*s**2 - 2463*s**3 + 8 + 2464*s**3 - 11*s + 25*s = 0. What is s?
-4, -2, -1
Let k(b) be the second derivative of -b**6/30 + b**4/2 - 4*b**3/3 - 3*b**2 + 10*b. Let i(f) be the first derivative of k(f). Factor i(v).
-4*(v - 1)**2*(v + 2)
Let k(c) be the first derivative of -3*c**4/32 + 35*c**3/8 - 6*c**2 - 51*c/2 + 300. Let k(z) = 0. What is z?
-1, 2, 34
Let g(w) be the first derivative of 4*w**5/5 + 51*w**4 + 2276*w**3/3 - 4158*w**2 + 5832*w - 251. Factor g(j).
4*(j - 2)*(j - 1)*(j + 27)**2
Let i be (-143)/(-52) + 3/12. Let z(o) be the second derivative of -14/9*o**i + 0 - 1/12*o**5 + 4/3*o**2 + 11/18*o**4 + o. Factor z(v).
-(v - 2)**2*(5*v - 2)/3
Let p(m) = -m**3 + 0*m**2 + 4*m**2 - 1 + 0*m**3 + 2*m**3 + 2*m. Let k be p(-3). Find q such that -9*q**4 + 3*q**5 - 5*q**k + 0*q**4 + 2*q**2 + 9*q**3 = 0.
0, 1
Let z(n) be the third derivative of -n**5/15 + 5*n**4/3 - 6*n**3 + 157*n**2. Solve z(l) = 0.
1, 9
Let h = 2 - 5. Let t be (0 + -3)/h*2. Factor -11*l + 13*l + 3*l**t + 2*l**3 + l**2.
2*l*(l + 1)**2
Let n(q) = -q**3 + q - 1. Let b(s) = 12*s**3 - 56*s**2 - 112*s + 16. Let u(r) = b(r) + 16*n(r). Suppose u(c) = 0. Calculate c.
-12, -2, 0
Let s(g) be the third derivative of g**5/10 - 2*g**4/3 + 5*g**3/3 - 2*g**2 - 17*g. Solve s(q) = 0 for q.
1, 5/3
Let q(d) = -d**2 - 11*d - 10. Let z be q(-10). Suppose 5*l = 4*f - 4, -3*l - 1 = -z*f - f. Find w such that l + 0*w + 21/2*w**3 - 3*w**2 = 0.
0, 2/7
Let h(m) be the second derivative of -m**5/60 - m**4/9 - m**3/18 + m**2 - 15*m. Factor h(w).
-(w - 1)*(w + 2)*(w + 3)/3
Let r(y) be the third derivative of -1/20*y**5 + y**2 + 1/70*y**7 + 0*y - 18 + 0*y**3 - 1/112*y**8 + 0*y**4 + 1/40*y**6. Suppose r(u) = 0. What is u?
-1, 0, 1
Let w(q) be the first derivative of -q**6/54 + 7*q**5/45 - 4*q**4/9 + 8*q**3/27 + 8*q**2/9 - 16*q/9 - 103. Suppose w(y) = 0. Calculate y.
-1, 2
Let k be (2/18)/((-1)/(-2)). Let n(l) = 48*l - 1248. Let a be n(26). Factor 2/9*m**5 + 0 - 2/3*m**4 + 2/3*m**3 - k*m**2 + a*m.
2*m**2*(m - 1)**3/9
Factor -8/19*o + 0 + 280/19*o**2 - 2450/19*o**3.
-2*o*(35*o - 2)**2/19
Let f(y) = 17*y**2 - 6*y + 26*y - 7 - 9 - 2. Let u(g) = g**2 + 1. Let x(i) = -f(i) + 2*u(i). Factor x(m).
-5*(m + 2)*(3*m - 2)
Let t(h) = -9*h**5 - 36*h**4 + 12*h**3 + 2*h**2 - 2. Let k(s) = s**4 - 2*s**3 - s**2 + 1. Let i(p) = -10*k(p) - 5*t(p). Factor i(g).
5*g**3*(g + 4)*(9*g - 2)
Suppose 32/5*f**3 - 2*f**5 - 4/5 - 22/5*f + 8/5*f**4 - 4/5*f**2 = 0. Calculate f.
-1, -1/5, 1, 2
Let h = -479/7 - -69. Suppose -2*g + 6*g + 22 = z, -2*g - 20 = -5*z. Factor 4/7*l**3 - 2*l**z - h + 2*l.
2*(l - 2)*(l - 1)*(2*l - 1)/7
Factor -3*n**3 + 1519 + 704*n - 468*n**2 + 31*n**3 - 1279.
4*(n - 15)*(n - 2)*(7*n + 2)
Factor -2/9*l**2 - 20/9*l + 22/9.
-2*(l - 1)*(l + 11)/9
Let a be 1 + 5 + (-43 - -39). Let l(p) be the first derivative of 0*p - 1/3*p**3 - 5 - p**a. Factor l(x).
-x*(x + 2)
Let v(h) = 73*h**2 - 912*h + 4432. Let t(x) = x**2. Let g(i) = 3*t(i) + v(i). Let q(a) = 7*a**2 - 83*a + 403. Let j(p) = 3*g(p) - 32*q(p). Solve j(n) = 0.
10
Let h(i) be the second derivative of -i**5/10 - 2*i**4 - 12*i**3 - 32*i**2 + i - 56. Factor h(t).
-2*(t + 2)**2*(t + 8)
Let b(x) be the first derivative of 4*x**5/25 + 2*x**4/5 - 36*x**3/5 + 104*x**2/5 - 112*x/5 + 240. Suppose b(f) = 0. What is f?
-7, 1, 2
Let v be -4*427/(-448) - (-16)/4. Let o(x) be the first derivative of -1/4*x + v*x**4 - 25/4*x**3 - 4 + 15/8*x**2. Factor o(r).
(5*r - 1)**3/4
Suppose -30 = 3*g - 0*g. Let y be (-30)/8*(g - -2). Find q, given that -2 + 1 + 26*q**3 - 1 + y*q**2 + 4 + 14*q + 8*q**4 = 0.
-1, -1/4
Let l(o) be the third derivative of -o**8/1512 + 11*o**7/315 - 31*o**6/180 + 91*o**5/270 - 5*o**4/18 + 90*o**2. Factor l(x).
-2*x*(x - 30)*(x - 1)**3/9
Suppose -g = -5*g + 4*x - 16, 4*x = 16. Let l = 2 - g. Factor -3*w**4 - 6*w**3 + 7*w**5 + 3*w - 4*w**5 - l - 1 + 6*w**2.
3*(w - 1)**3*(w + 1)**2
Let r be (-8 - -12) + 2*3. Let x be (-20)/(-4)*4/r. Determine w, given that -12/5 + 9/5*w**x + 3/5*w**3 + 0*w = 0.
-2, 1
Let f(x) be the third derivative of x**8/7 - 4*x**7/5 + 33*x**6/40 + 7*x**5/5 + x**4/2 + 37*x**2 + 3*x. Factor f(u).
3*u*(u - 2)**2*(4*u + 1)**2
Let v(s) be the second derivative of -s**9/20160 - s**8/8960 + s**7/3360 + s**6/960 - 5*s**4/2 + 31*s. Let k(q) be the third derivative of v(q). Factor k(c).
-3*c*(c - 1)*(c + 1)**2/4
Let y(k) = -3*k**4 + 100*k**3 - 182*k**2 + 2. Let n(v) = -2*v**4 + 100*v**3 - 183*v**2 + 3. Let r(b) = -2*n(b) + 3*y(b). Find s, given that r(s) = 0.
0, 2, 18
Let c(p) be the first derivative of 2*p**3 + 7*p + 11 - 6*p**3 + p**4 + 17 + 5*p - 2*p**2. Factor c(v).
4*(v - 3)*(v - 1)*(v + 1)
Factor 20*x + 4/7*x**3 + 44/7*x**2 + 100/7.
4*(x + 1)*(x + 5)**2/7
Let q be (-4)/((-61)/(-8) - 7) + 7. Let p(h) be the first derivative of -3/5*h**2 + 2 + h**3 - q*h**4 + 3/25*h**5 + 0*h. Suppose p(s) = 0. What is s?
0, 1, 2
Let n(m) be the first derivative of 0*m - 1/3*m**2 - 1/6*m**4 - 4/9*m**3 - 12. Factor n(j).
-2*j*(j + 1)**2/3
Let t be (1 - 2)/(1/5). Let r(j) = -j**3 - 4*j**2 + 3*j - 7. Let l be r(t). Factor -6*c**l + 4*c**5 + 5*c**3 - 3*c**5.
c**3*(c - 1)*(c + 1)
Let w(h) be the first derivative of 27*h**4/4 - 113*h**3 - 232*h**2/3 - 52*h/3 - 15. Factor w(a).
(a - 13)*(9*a + 2)**2/3
Suppose 3 = -u + 2*u. Suppose -n - 2*n - 6 = -u*w, -8 = 2*n - 3*w. Factor 6*t**n + 2*t**4 + 0*t**3 - 7*t**3 + 13*t**3 + 2*t.
2*t*(t + 1)**3
Let f(k) be the third derivative of k**5/240 - k**4/16 + k**3/3 + 49*k**2 + 2*k. Suppose f(q) = 0. Calculate q.
2, 4
Let w be -3 + 0 + -158 + 0. Let y be 2/5 + w/(-35). Find h such that -1 + 8*h**3 + 6*h**4 - 4*h**3 + 0*h**4 - 6*h - 4*h**2 - 1 + 2*h**y = 0.
-1, 1
What is u in -11*u**2 + 10*u**2 + 11*u - 2*u**3 - 3*u - 5*u**2 + 24 = 0?
-3, -2, 2
Determine p, given that 0 + 3/4*p + 45/8*p**4 + 9/8*p**2 - 6*p**3 - 3/2*p**5 = 0.
-1/4, 0, 1, 2
Let i = 188 + -185. Let a be -2 + i + (6 - 7). Solve -6/5*b**3 + 0 - 2/5*b**2 + a*b = 0.
-1/3, 0
Let h(p) be the first derivative of p**5/240 + p**4/48 - p**3/8 - 9*p**2/2 - 18. Let f(w) be the second derivative of h(w). Factor f(s).
(s - 1)*(s + 3)/4
Let a(k) = -k + 15. Let g be a(11). Let r(z) = -z**2 + 5*z - 4. Let u be r(g). Factor 4/3*o**2 + u*o**3 + 0 - 4/3*o**4 - 2/3*o**5 + 2/3*o.
-2*o*(o - 1)*(o + 1)**3/3
Let q(m) = m**3. Let p(c) = -3*c**3 - 8*c**3 - 5*c**3. Suppose -12*r - 36 = -9*r. Let f(k) = r*q(k) - p(k). Factor f(y).
4*y**3
Let w = 64 + -44. What is p in 168*p**2 - 120*p**2 + 8 + w*p**3 + 30*p + 6*p = 0?
-1, -2/5
Let y(n) = n**2 + 2*n + 1. Let o(q) = 13*q**2 + 18*q + 11. Let j(g) = -2*o(g) + 22*y(g). Find h, given that j(h) = 0.
0, 2
Let b(l) be the first derivative of -2/9*l**3 - 1/9*l + 3 - 1/45*l**5 - 2/9*l**2 - 1/9*l**4. Solve b(a) = 0.
-1
Let b = -10083 + 50418/5. Let 0 + 18/5*h + b*h**2 = 0. What is h?
-6, 0
Let f(n) be the second derivative of n**4/16 - 29*n**3/6 + 19*n**2/2 + n - 42. Suppose f(o) = 0. What is o?
2/3, 38
Let z = -11970 + 11974. Let 3/4*w**z + 0*w + 0*w**2 + 3/2*w**3 + 0 = 0. Calculate w.
-2, 0
Let w be (31 - 32 - -3)/(-4*1/(-6)). Let c = 2 + -2. Let c + 2*r**2 + 1/2*r + w*r**3 + 1/2*r**5 + 2*r**4 = 0. Calculate r.
-1, 0
Suppose 0 = k - 4*l + 18, -4*k = -16*l + 13*l + 59. Let x = k - -17. Factor -6/7*h**x - 3/7*h**4 + 3/7*h - 3/7 + 3/7*h**5 + 6/7*h**2.
3*(h - 1)**3*(h + 1)**2/7
Let a(m) = -m**3 + m**2 + m. Let f(y) = -y**4 + y**3 + 3*y**2 - 17*y + 18. Let n(l) = -12*a(l) + 3*f(l). Factor n(o).
-3*(o - 3)**2*(o - 1)*(o + 2)
Suppose -g + 532 = 531. Let z(q) be the first derivative of 2/9*q**3 + 2/9*q - g - 4/9*q**2. Determine d, given that z(d) = 0.
1/3, 1
Let v(n) be the first derivative of 18/5*n**2 - 4/3*n**3 + 28/25*n**5 + 6 - 9/5*n**4 - 8/5*n. Suppose v(o) = 0. Calculate o.
-1, 2/7, 1
Let -14/15*v**3 - 64/15 - 184/15*v + 136/15*v**2 = 0. What is v?
-2/7, 2, 8
Let d = -2173/16 + 136. Let t = d + 55/48. What is s in -2*s**4 + 4/3*s**2 - 2/3*s**5 + 2/3 + 2*s - t*s**3 =