 u**6/540 - u**5/270 - u**4/54 + 3*u**2 - 49. Factor j(k).
2*k*(k - 2)*(k + 1)/9
Suppose 30 - 38 - 5*z - 16*z - 64 - 2*z**2 - 9*z = 0. What is z?
-12, -3
Let q(y) be the third derivative of 121*y**5/360 + 11*y**4/36 + y**3/9 - y**2. Factor q(r).
(11*r + 2)**2/6
Let o(d) be the first derivative of -3*d**5/25 - 9*d**4/2 + 3*d**3/5 + 138*d**2/5 + 36*d + 400. Solve o(b) = 0.
-30, -1, 2
Factor -8/7 + 6/7*p + 2/7*p**2.
2*(p - 1)*(p + 4)/7
Let i be (-276)/20 - (-3 + 0 - -6). Let j = 17 + i. What is c in j*c - 1/5*c**2 + 2/5 = 0?
-1, 2
Let l be (-57)/(-11) - 12/66. Let c(r) = r**2 + 2*r - 3. Let f be c(l). Factor 45*m**3 - f*m**2 + 6 - 4*m - 17*m**2 + m + m**2.
3*(m - 1)*(3*m + 1)*(5*m - 2)
Let k(x) = 9*x**2 + 36*x + 20. Let p(q) be the second derivative of -2*q**3 + 0 - 7/2*q**2 + 5*q - 1/4*q**4. Let j(t) = -2*k(t) - 7*p(t). Solve j(w) = 0.
-3, -1
Let p = -539/38 + 38999/266. Let o = 133 - p. Factor -2/7*t**3 - o*t**2 + 0 - 2/7*t.
-2*t*(t + 1)**2/7
Let w be (6/6)/((-1)/(-3)). Suppose 3*b - w = 12. Determine i so that 0*i**5 - 4*i**3 - 3*i**4 + 4*i**4 + 4*i**b - 4*i**2 + 3*i**4 = 0.
-1, 0, 1
Let q(c) be the third derivative of c**8/448 + 3*c**7/140 - c**6/20 - 3*c**5/40 + 7*c**4/32 - 233*c**2. Solve q(z) = 0 for z.
-7, -1, 0, 1
Let t(w) be the second derivative of w**6/105 - w**5/14 + w**4/14 + 5*w**3/21 - 4*w**2/7 + 206*w. Solve t(j) = 0.
-1, 1, 4
Let t be (-632)/(-5056)*((-89)/(-5) - (-3)/15). Factor t - 3/2*s + 1/4*s**2.
(s - 3)**2/4
Let w(r) be the third derivative of -r**5/240 + 23*r**4/12 - 1058*r**3/3 - 114*r**2. Factor w(n).
-(n - 92)**2/4
Suppose 24/5 + 4/5*x**2 + 4*x = 0. What is x?
-3, -2
Let k(x) be the first derivative of 3*x - 3/4*x**2 + 3/40*x**5 + 7/8*x**3 - 7/16*x**4 - 4. Let l(d) be the first derivative of k(d). Factor l(t).
3*(t - 2)*(t - 1)*(2*t - 1)/4
Let x(g) be the second derivative of g**6/15 - 7*g**5/5 - 8*g**4 - 50*g**3/3 - 17*g**2 - 27*g - 2. What is z in x(z) = 0?
-1, 17
Factor 12457*y + 3*y**2 - 12457*y - 3.
3*(y - 1)*(y + 1)
What is k in -16*k**2 - k + 46*k**4 - 8*k**5 + 6*k + 13*k**3 - 40*k**3 = 0?
-1/2, 0, 1/4, 1, 5
Let x(m) = -m + 1. Let h(u) be the third derivative of -u**5/10 + u**4/8 - u**3/2 - 22*u**2. Let o(q) = h(q) + 6*x(q). Solve o(z) = 0.
-1, 1/2
Factor -4/7*d**2 - 2*d + 12/7*d**3 - 6/7 + 2/7*d**5 + 10/7*d**4.
2*(d - 1)*(d + 1)**3*(d + 3)/7
Let h(c) = -c**2 - 1. Let x(k) = -2*k**2 + 19*k + 15. Let n(g) = -3*h(g) + x(g). Determine r so that n(r) = 0.
-18, -1
Let x be (12 - 9)*(2/(-6) - -2). Let u(i) be the second derivative of -2*i**2 + 0 + 6*i - 2*i**3 - 1/30*i**6 - 13/12*i**4 - 3/10*i**x. Let u(l) = 0. What is l?
-2, -1
Let h(i) be the third derivative of -i**5/60 - i**4/3 + 3*i**3/2 - 119*i**2. Solve h(u) = 0 for u.
-9, 1
Let i(x) be the first derivative of 44*x**2 - 20/3*x**3 - 6 - 32*x. Factor i(l).
-4*(l - 4)*(5*l - 2)
Let g = 8 + -6. Suppose 3*a - r - 26 = 0, -a + 5*r - 40 = -3*a. Let k(p) = -p - 1. Let o(f) = -f**2 + 7*f + 8. Let h(i) = a*k(i) + g*o(i). Factor h(s).
-2*(s - 3)*(s + 1)
Let t(o) be the first derivative of o**4 + 40*o**3/3 + 46*o**2 + 56*o - 70. Solve t(m) = 0.
-7, -2, -1
Suppose d - m = -3*d + 103, 2*d - 62 = 4*m. Suppose 5*w + 5*j = d, w + 4 = 2*j - 0. Factor 2/7*h + 6/7*h**3 - 6/7*h**w + 0 - 2/7*h**4.
-2*h*(h - 1)**3/7
Determine t, given that 3*t**4 + 4*t**3 + 60*t**2 + 20*t**3 + 56*t - 8*t = 0.
-4, -2, 0
Let p(q) be the third derivative of -2/245*q**7 + 1/35*q**5 + 1/784*q**8 + 0*q + 0 + 3/280*q**6 + 0*q**3 - 12*q**2 - 1/14*q**4. Suppose p(k) = 0. Calculate k.
-1, 0, 1, 2
Let p(s) be the first derivative of 2*s**6/3 - 164*s**5/5 + 399*s**4 + 588*s**3 + 590. Find y, given that p(y) = 0.
-1, 0, 21
Let r(y) = -y**3 + 6*y**2 - 5*y + 2. Let a be r(5). Suppose -a*p + d + 4 = 3, 3*p - 15 = -3*d. Factor 6*v**4 + v - 2*v + 20*v**3 - 13*v**p - 15*v**4 + 3*v.
-v*(v - 1)**2*(9*v - 2)
Let h(r) = 32*r**4 + 55*r**3 + 18*r**2 + 9*r + 7. Let b(f) = 16*f**4 + 4 + f**2 + 28*f**3 + 10*f**2 + 5*f - 2*f**2. Let n(u) = 7*b(u) - 4*h(u). Factor n(c).
-c*(c + 1)*(4*c + 1)**2
Let k(r) be the third derivative of r**8/20160 - r**7/2520 + 19*r**5/60 - 7*r**2. Let i(t) be the third derivative of k(t). Solve i(y) = 0 for y.
0, 2
Let f(l) = l**2 + l + 1. Let x(p) = 10*p**2 + 18*p + 14. Let s(k) = -12*f(k) + x(k). Let w be s(3). Factor 0*z + 3/2 - 3*z**w + 3/2*z**4 + 0*z**3.
3*(z - 1)**2*(z + 1)**2/2
Let z(q) be the third derivative of q**6/80 + 7*q**5/120 - q**3/3 + 715*q**2. Factor z(y).
(y + 1)*(y + 2)*(3*y - 2)/2
Suppose -75 + 3/5*z**3 + 753/5*z - 381/5*z**2 = 0. Calculate z.
1, 125
Let a(g) be the third derivative of g**7/420 + g**6/10 + 143*g**5/120 - g**4/2 - 12*g**3 - 88*g**2. Determine y so that a(y) = 0.
-12, -1, 1
Factor -2/13*v**3 + 8/13*v**2 + 4/13 - 10/13*v.
-2*(v - 2)*(v - 1)**2/13
Let h(k) = -105*k**3 + 86*k**2 + 240*k + 71. Let w(u) = -35*u**3 + 29*u**2 + 80*u + 24. Let r(q) = -4*h(q) + 11*w(q). Find j such that r(j) = 0.
-1, -2/7, 2
Let r(y) = -9*y**3 + 48*y**2 - 49*y - 126. Let k(u) = -2*u**3 - u + 2. Let s(b) = k(b) - r(b). Factor s(m).
(m - 4)**2*(7*m + 8)
Let f(x) be the second derivative of 18*x**7/7 + 39*x**6/5 + 3*x**5 - 97*x**4/6 - 28*x**3 - 20*x**2 - x + 166. Solve f(k) = 0 for k.
-1, -5/6, -2/3, 1
Let y be (4/(-6)*(-30)/(-20))/(-3). Let c(x) be the first derivative of -y*x**3 + 2 - 1/4*x**2 - 1/8*x**4 + 0*x. Suppose c(g) = 0. Calculate g.
-1, 0
Let l be (-2)/13 - ((-10750)/(-1300))/(-5). Determine b, given that -1/4*b**2 - 5/4 - l*b = 0.
-5, -1
Factor 12*a - 4*a**5 - 22*a**3 + 1117*a**2 + 8*a**5 + 6*a**3 - 8 - 1109*a**2.
4*(a - 1)**3*(a + 1)*(a + 2)
Let z(k) be the first derivative of -k**3/21 - 8*k**2/7 - 64*k/7 - 30. Factor z(d).
-(d + 8)**2/7
Let 18 - 57/4*t**3 + 127/2*t**2 - 87*t + t**4 = 0. Calculate t.
1/4, 2, 6
Let w(p) be the third derivative of 3*p**5/20 - p**4 + 8*p**3/3 + 21*p**2. Determine n so that w(n) = 0.
4/3
Let p(z) = -426*z + 3. Let x be p(0). Find h, given that 8 - 64/3*h - 10/3*h**x + 2/3*h**5 + 18*h**2 - 2*h**4 = 0.
-3, 1, 2
Let h = 1 - -9. Suppose -x - 4*x + h = 0. Let -42*q**3 + 34*q**4 - 26*q**3 - 18*q + 56*q**2 + x*q - 6*q**5 = 0. Calculate q.
0, 2/3, 1, 2
Let s(l) = 2*l**3 - 4. Let m be s(2). Determine x so that 2*x**3 - 4*x**2 - 12 + m + 2*x = 0.
0, 1
Suppose -22 = 2*y - 0*y. Let m = y + 13. Factor -m*o - o**3 + 3*o**3 + 4*o**2 - o**4 + 0*o**4 - 3*o**2.
-o*(o - 2)*(o - 1)*(o + 1)
Let i(z) be the first derivative of -z**6/420 - z**5/210 + z**4/84 + z**3/21 + 11*z**2/2 - 23. Let t(v) be the second derivative of i(v). Factor t(q).
-2*(q - 1)*(q + 1)**2/7
Let -19*t**4 + 2199*t**2 + 2*t**5 - 7*t**5 + 2*t**5 - 372*t - 729*t**3 + 1008 + 112*t**4 - 2196*t = 0. What is t?
1, 4, 21
Let u be 3/((-1 + -3)/(-4)). Let 0*v**3 + 3*v - 4*v**2 + v**u - 1 - 3*v**2 + 4*v**2 = 0. What is v?
1
Let l(j) = -j**3 + 6*j**2 + 6*j + 9. Let s be l(7). Let d be s/30*3*(-5)/(-4). Determine u so that -5/4*u + 1/2 + u**2 - d*u**3 = 0.
1, 2
Let i(d) be the first derivative of -d**3/12 - d**2/2 - 3*d/4 - 20. Solve i(v) = 0.
-3, -1
Let u(m) = -9*m**2 - 12*m + 27. Let z(a) = -a**2 + a + 5. Let p(k) = 1. Let i(d) = -4*p(d) + z(d). Let b(q) = 6*i(q) - u(q). Let b(f) = 0. What is f?
-7, 1
Solve 24 + 174/5*b + 3/5*b**5 - 177/5*b**3 - 51/5*b**4 - 69/5*b**2 = 0 for b.
-2, -1, 1, 20
Let h = -26 - -28. Factor 263*z**h - 233*z**2 + 126*z + 0 + 98 + 2*z**3.
2*(z + 1)*(z + 7)**2
Let g = 4228 + -4226. Suppose -50*h**g - 92/3*h - 88/3*h**3 - 16/3 - 14/3*h**4 = 0. Calculate h.
-4, -1, -2/7
Let u = 9638 - 28894/3. Factor 46/3*d + u - 10/3*d**2.
-2*(d - 5)*(5*d + 2)/3
Let n(o) be the third derivative of -o**7/42 + 5*o**6/24 - 2*o**5/3 + 5*o**4/6 + o**2 - 17*o. Factor n(j).
-5*j*(j - 2)**2*(j - 1)
Let c be (9/27)/((-2 + 1)/(-6)). Determine u, given that -4 + 6 - 6*u + 18*u**2 + 7 - 21*u**c = 0.
-3, 1
Factor -3 + 0 - 6*d**2 + 19 + 0 + 2*d**2.
-4*(d - 2)*(d + 2)
Let h(b) = -4*b**4 + 2*b**3 + 14*b**2 + 18*b - 2. Let y(l) = -8*l**4 + 5*l**3 + 29*l**2 + 41*l - 5. Let i(v) = 5*h(v) - 2*y(v). Factor i(n).
-4*n*(n - 2)*(n + 1)**2
Suppose 0 = 2*j - 5*j + 723 - 714. Suppose v - 4*v + 6 = 0. Solve 0 - 1/2*i - 3/4*i**v + 5/4*i**j = 0.
-2/5, 0, 1
Let y(c) be the first derivative of 0*c**3 + 1/330*c**5 + 0*c + 3*c**2 - 1/66*c**4 - 1. Let k(g) be the second derivative of y(g). Factor k(q).
2*q*(q - 2)/11
Let u be 99/(-11) + (-