ive of k**8/112 + 3*k**7/49 + 29*k**6/280 - 11*k**5/70 - 9*k**4/14 - 4*k**3/7 + 24*k**2. Determine v, given that j(v) = 0.
-2, -1, -2/7, 1
Let u = -76 - -139. Let o be (48/u)/((-1)/(-3)). Factor 24/7*b + 2/7*b**3 - o - 12/7*b**2.
2*(b - 2)**3/7
Let h(w) be the second derivative of -w**7/420 - w**6/150 - w**5/200 + w. Factor h(a).
-a**3*(a + 1)**2/10
Let u(m) be the second derivative of m**5/390 + 5*m**2/2 - 6*m. Let r(j) be the first derivative of u(j). Factor r(a).
2*a**2/13
Let o(u) = 2*u**3 - 2*u**2 - 14*u + 16. Let v(c) = -c**3 + c**2 + c. Let g(i) = -o(i) + 2*v(i). Factor g(m).
-4*(m - 2)*(m - 1)*(m + 2)
Let a = -6 + 6. Suppose -10/9*j**4 + 0*j**2 + a*j + 8/9*j**5 + 0 + 2/9*j**3 = 0. What is j?
0, 1/4, 1
Let i be 0/(2 + -3) - -3. Suppose -8*f + i*f + 20 = 0. Factor 0 + 0*k - 4/5*k**2 + 2/5*k**f + 2/5*k**3.
2*k**2*(k - 1)*(k + 2)/5
Let l be (-24)/(-10) - (-6)/10. Suppose -17*i**3 + 45*i**5 + 2*i**l + 3*i**3 - 12*i**4 = 0. What is i?
-2/5, 0, 2/3
Let v = 581/18 + -191/6. Suppose -2/9*r - 2/9*r**3 + 0 - v*r**2 = 0. Calculate r.
-1, 0
Suppose -8 = -7*j + 3*j. Let z(v) = v**4 + 2*v**3 - 7*v**2 - 2. Let m(n) = -3*n**4 - 3*n**3 + 15*n**2 + n + 5. Let o(h) = j*m(h) + 5*z(h). Factor o(u).
-u*(u - 2)*(u - 1)**2
Let q = 535 - 67409/126. Let x(o) be the second derivative of 0 + 0*o**2 - q*o**7 + 1/90*o**6 + 0*o**3 + 1/60*o**5 + 3*o - 1/36*o**4. Let x(a) = 0. What is a?
-1, 0, 1
Let c(b) be the second derivative of b**7/84 + 11*b**6/60 + 23*b**5/20 + 15*b**4/4 + 27*b**3/4 + 27*b**2/4 + 5*b. Factor c(q).
(q + 1)**2*(q + 3)**3/2
Let a = 5 - 3. Suppose -4*n + l + 20 = -3*l, -a*n = l - 4. Factor 4*r**n - r**3 - 4 + 3 + 5*r - 7*r**2.
(r - 1)**2*(3*r - 1)
Let j = 51 - 50. Let i be 3/6 - (-129)/12. Determine r so that 6*r + i*r**2 + 25/4*r**3 + j = 0.
-1, -2/5
Let q(l) be the second derivative of l**5/4 - 12*l. Factor q(z).
5*z**3
Let o(b) be the third derivative of -2*b**6/15 + b**5/15 + 2*b**4/3 - 2*b**3/3 - 4*b**2. Suppose o(f) = 0. What is f?
-1, 1/4, 1
Let m(a) = 5*a**3 + 39*a**2 + 84*a + 60. Let z(r) = -55*r**3 - 430*r**2 - 925*r - 660. Let t(s) = -45*m(s) - 4*z(s). Factor t(o).
-5*(o + 2)**2*(o + 3)
Let s(t) be the second derivative of t**4/36 + t**3/18 - t**2/3 - t. Let s(v) = 0. What is v?
-2, 1
Let b(w) be the third derivative of w**5/210 - w**3/21 + 16*w**2. Find f, given that b(f) = 0.
-1, 1
Suppose z + 4*x = 2*x + 14, 0 = 3*z + 2*x - 22. Suppose a - 1 = 2*a, 0 = -2*y - 5*a - 1. Solve z*t + t + 0*t**2 + y*t**2 - 4*t = 0.
-1/2, 0
Let b = 6 + -4. Let q be 6*b/(0 + 4). Factor -n**2 + n**q - 6 + 6.
n**2*(n - 1)
Let q be 4/(((-24)/3)/(-4)). Let v(j) = j**2 + 2*j - 3. Let u be v(q). Factor b**4 + 1/2*b - b**2 + 0*b**3 - 1/2*b**u + 0.
-b*(b - 1)**3*(b + 1)/2
Let h(o) = 2 + 0*o + 4*o - 3*o. Let f be h(0). Factor r**2 - 4*r**3 - r + f + 5*r - 3*r**2.
-2*(r - 1)*(r + 1)*(2*r + 1)
Let t = -3 - -5. Suppose -4*v + 3*v = -t. Solve n + n**v - 2*n**2 + 2*n**2 = 0 for n.
-1, 0
Suppose 3*t - 17*t + 28 = 0. Determine y, given that 2/3*y**t + 2/3 + 4/3*y = 0.
-1
Let o = 7 - -5. Let v be 14/6 - 4/o. Let -y**3 + v*y**3 + 4 + 3*y - 3 + 3*y**2 = 0. What is y?
-1
Let m be 1*((0 - 1) + 3). Let l**4 + 6*l**2 + 0*l**4 - l**2 - 4*l**m - 2*l**3 = 0. Calculate l.
0, 1
Let u(s) = -4*s**2 - 75*s - 90. Let m(r) = -r**2 - 25*r - 30. Let o(c) = -11*m(c) + 4*u(c). Find x such that o(x) = 0.
-3, -2
Let c(i) be the first derivative of -i**5/15 + i**4/4 - i**3/9 - i**2/2 + 2*i/3 + 61. Factor c(f).
-(f - 2)*(f - 1)**2*(f + 1)/3
Let o(m) = 10*m - 14 + 0*m**2 - 2*m**2 - 22*m**2. Let k(b) = -5*b**2 + 2*b - 3. Let y(j) = 14*k(j) - 3*o(j). Factor y(p).
2*p*(p - 1)
Let s = 6911/14 + -494. Let n = s - -6/7. Find p such that n*p**2 + p + 0 = 0.
-2, 0
Let i(r) be the first derivative of 3/20*r**5 - 1/12*r**4 + r - 1 + 1/15*r**6 - 1/2*r**3 - 1/2*r**2. Let p(s) be the first derivative of i(s). Factor p(k).
(k - 1)*(k + 1)**2*(2*k + 1)
Let t(c) = c**3 - 9*c**2 - 12*c + 16. Let q be t(10). Let i(n) = 4*n + 19. Let j be i(q). Find b such that 0 - 3/2*b**3 + 0*b + 3/2*b**5 - 3*b**4 + j*b**2 = 0.
-1, 0, 1, 2
Suppose 0*f - 2*f + 6 = 0. Let q(n) be the third derivative of 1/36*n**4 - 1/15*n**5 + 2/45*n**6 + 3*n**2 + 0*n**f + 0*n + 0. Determine t, given that q(t) = 0.
0, 1/4, 1/2
Suppose 3*m + 0*m = 9. Factor 4*v**4 + 0*v**m - v**4 - 2*v**4 + v**3.
v**3*(v + 1)
Let o(k) be the second derivative of k**6/225 + 3*k. Find g such that o(g) = 0.
0
Let b(t) = -t**2 - 55*t + 137. Let o(p) = -14*p + 34. Let x(a) = -2*b(a) + 9*o(a). Solve x(z) = 0.
4
Let s(n) be the third derivative of -n**9/12096 + n**8/6720 + n**7/3360 - n**6/1440 - 2*n**3/3 - 3*n**2. Let a(l) be the first derivative of s(l). Factor a(i).
-i**2*(i - 1)**2*(i + 1)/4
Let o(b) = 14*b**2 - 35*b + 9. Let y(n) = 15*n**2 - 36*n + 9. Let v(z) = -6*o(z) + 5*y(z). Factor v(u).
-3*(u - 3)*(3*u - 1)
Let z(v) be the second derivative of 3/100*v**5 + 0 + 3/10*v**2 + 3/20*v**4 + 3/10*v**3 + 4*v. Solve z(r) = 0.
-1
Let 0*j**2 + 0*j**3 + 0*j**4 - 1/8*j**5 + 0*j + 0 = 0. Calculate j.
0
Let f(m) = -92*m**2 - 792*m - 4384. Let b(n) = 10*n**2 + 88*n + 487. Let q(s) = 28*b(s) + 3*f(s). Factor q(y).
4*(y + 11)**2
Suppose -3*s + 5*b = -1323, 0*b + 1764 = 4*s + 5*b. Let u = -3965/9 + s. Factor 2/9 + 0*d**2 - 4/9*d + u*d**3 - 2/9*d**4.
-2*(d - 1)**3*(d + 1)/9
Let b(f) be the third derivative of f**6/60 - f**4/12 - 13*f**2 - 4. Factor b(x).
2*x*(x - 1)*(x + 1)
Let g(k) be the first derivative of 3 + 0*k + 1/12*k**3 + 1/4*k**2. Factor g(i).
i*(i + 2)/4
Let q(z) be the second derivative of 1/3*z**3 + 5/12*z**6 + 0*z**2 + 9/8*z**5 + 0 + z**4 - 8*z. Factor q(f).
f*(f + 1)*(5*f + 2)**2/2
Suppose 0*o = 3*o + 4*m + 22, -18 = o + 4*m. Let p(u) = 11*u**2 - 23*u + 17. Let k(b) = -5*b**2 + 11*b - 8. Let a(j) = o*p(j) - 5*k(j). Factor a(d).
3*(d - 2)*(d - 1)
Let m(k) be the second derivative of k**4/3 - 16*k**3 + 288*k**2 + 14*k. Determine y, given that m(y) = 0.
12
Factor 0*b - 2/3*b**2 + 0*b**3 + 2/3*b**4 + 0.
2*b**2*(b - 1)*(b + 1)/3
Suppose -5*t - 37 = -3*f - 3*t, 4*f = 4*t + 44. Suppose 0 = -5*j + f. Factor 0*v**2 + j*v**2 - v**4 - 2*v**2.
-v**2*(v - 1)*(v + 1)
Let p(l) be the first derivative of l**6/36 + l**5/10 + l**4/8 + l**3/18 - 9. Let p(s) = 0. What is s?
-1, 0
Factor -8/9*s - 2/9*s**2 + 8/9 + 2/9*s**3.
2*(s - 2)*(s - 1)*(s + 2)/9
Let q(c) = -c**2 - 2*c + 17. Let v be q(-5). Determine d, given that 2/5*d**3 - 2*d**v + 0 + 2/5*d**4 + 6/5*d = 0.
-3, 0, 1
Let l(v) be the first derivative of v**9/6048 - v**8/3360 - v**7/1680 + v**6/720 + v**3 - 2. Let f(d) be the third derivative of l(d). Factor f(b).
b**2*(b - 1)**2*(b + 1)/2
Let x be (-2)/8*8/(-4). Let s(r) = -r**3 - 5*r**2 - 4*r + 6. Let u be s(-3). Factor -x*y**2 + 0*y + u.
-y**2/2
Let n(l) = -l**2 + l + 4. Let t be n(3). Let r be t - -1*(-33)/(-15). Let 0*u + 0*u**2 - r*u**4 + 0 + 0*u**3 = 0. Calculate u.
0
Let x(v) be the third derivative of v**7/945 - v**6/30 + 2*v**5/5 - 2*v**4 + 13*v**2. What is f in x(f) = 0?
0, 6
Let r(y) be the third derivative of y**7/1050 + y**6/600 - y**5/300 - y**4/120 + y**2. Determine i so that r(i) = 0.
-1, 0, 1
Let s(y) = 2*y**4 - 4*y**3 + 7*y - 5. Let c = 41 - 29. Let z(t) = -5*t**4 + 5*t**4 + 14 + c*t**3 - 20*t - 6*t**4. Let h(m) = -8*s(m) - 3*z(m). Solve h(f) = 0.
-1, 1
Let o(t) be the third derivative of 4*t**7/525 - t**6/60 - t**5/75 + t**4/20 - 33*t**2. Factor o(a).
2*a*(a - 1)**2*(4*a + 3)/5
Let u(a) be the first derivative of -3*a**4/4 + 6*a**3 - 18*a**2 + 24*a - 2. Factor u(v).
-3*(v - 2)**3
Let o = -2 + 4. Let u(k) be the second derivative of k + 1/12*k**3 + 0 - 1/40*k**5 + 1/4*k**o - 1/24*k**4. Let u(g) = 0. Calculate g.
-1, 1
Let t = -501 - -503. Determine x so that -1/3*x + 1/3*x**3 - 1/3*x**t + 1/3 = 0.
-1, 1
Let c be ((-6)/8)/(90/580). Let d = c - -16/3. Let 1/2*q**3 + 0 - q**2 + d*q = 0. What is q?
0, 1
Let o(u) be the first derivative of -u**6/15 + 4*u**5/25 + 3*u**4/10 - 8*u**3/15 - 4*u**2/5 - 5. Find p such that o(p) = 0.
-1, 0, 2
Let v be (6/(-3) - -2)*1. Let i(l) be the third derivative of 0*l + v*l**3 + 1/60*l**5 + l**2 + 0 - 1/24*l**4. Suppose i(b) = 0. Calculate b.
0, 1
Let h(z) be the first derivative of -z**5 - 5*z**4/4 + 5*z**3/3 + 5*z**2/2 + 14. Factor h(d).
-5*d*(d - 1)*(d + 1)**2
Let u be (-86)/(-65) - 5/(-25). Let x = u + 1/13. Let -2/5*s**5 - x + 2/5*s**