0*y**2 + 4/11*y**4 + 0*y + 1/33*y**6 - 8/33*y**3 - 2/11*y**5. Determine d, given that i(d) = 0.
0, 1, 2
Let a be (-8)/(-5) + (-2 - (-12)/5). Factor -2*d**a - 10*d + 12 - 2*d + 5*d**2.
3*(d - 2)**2
Let c = -9 - -11. Let y be 4 - 2/(0 + c). What is x in x**2 - 2*x**3 + x**2 - 2*x**4 - 2*x**5 + 0*x**y + 4*x**3 = 0?
-1, 0, 1
Let i(c) be the third derivative of c**9/5040 - c**7/420 + c**5/40 + c**4/4 - 9*c**2. Let s(l) be the second derivative of i(l). Factor s(b).
3*(b - 1)**2*(b + 1)**2
Let p(n) = -6*n + 3. Let w(v) = 3*v - 2. Let o(j) = 6*p(j) + 11*w(j). Let m be o(-2). Solve m*i**3 - i + 0*i**2 - 8*i**3 - 3*i**2 - i**4 + 3*i**3 = 0.
-1, 0
Suppose 0 = 3*z - h + 7, 6*z + 4*h + 28 = 4*z. Let a be 0 + (-2)/(((-24)/(-9))/z). Factor 8/5 - 8/5*d**2 + 4/5*d - 4/5*d**a.
-4*(d - 1)*(d + 1)*(d + 2)/5
Let t(u) be the third derivative of -u**6/140 - u**5/105 + u**4/28 + 2*u**3/21 - 297*u**2. Solve t(m) = 0 for m.
-1, -2/3, 1
Let u(t) be the second derivative of t**10/45360 - t**8/10080 + 2*t**4/3 - 7*t. Let n(h) be the third derivative of u(h). Factor n(d).
2*d**3*(d - 1)*(d + 1)/3
Let h(f) be the second derivative of f**7/14 + 7*f**6/10 - 3*f**5/10 - 23*f**4/2 + 65*f**3/2 - 75*f**2/2 - 255*f. Find y, given that h(y) = 0.
-5, 1
Let g be 2/5 - (-39)/15. Determine v, given that -v**5 - 4328*v**3 - 2*v**2 + 2*v**4 + 4328*v**g + v = 0.
-1, 0, 1
Let n(l) be the first derivative of -1250*l**3/9 - 100*l**2/3 - 8*l/3 + 29. What is x in n(x) = 0?
-2/25
Let n(m) be the second derivative of m**5/110 + m**4/22 + m**3/11 + m**2/11 + 75*m. Factor n(o).
2*(o + 1)**3/11
Let p(x) be the first derivative of -1/33*x**3 + 1/22*x**2 + 2/11*x + 12. Suppose p(h) = 0. What is h?
-1, 2
Let q(w) be the third derivative of w**6/480 - w**5/80 - w**4/16 + w**3/3 - 19*w**2 + 8. Factor q(g).
(g - 4)*(g - 1)*(g + 2)/4
Let x(m) be the first derivative of m**4/4 + 5*m**3/3 + m**2 - 8*m - 73. Factor x(q).
(q - 1)*(q + 2)*(q + 4)
Let r(t) be the second derivative of 16*t**6/15 + 4*t**5/5 + t**4/6 - t. Factor r(n).
2*n**2*(4*n + 1)**2
Let q(k) = k + 9. Let y be q(-6). Suppose -v = 4, -i - 2*i + 72 = y*v. Determine o, given that i*o**4 - 31*o**4 - 6*o - 9*o - 6*o - 15*o**3 - 6 - 27*o**2 = 0.
-2, -1
Let c = -29/7 + 94/21. Factor c + 0*d - 1/3*d**2.
-(d - 1)*(d + 1)/3
Let m(s) = -s**3 + 57*s**2 - 56*s. Let c(v) = v**3 - 113*v**2 + 112*v. Let u(x) = -3*c(x) - 7*m(x). Find i such that u(i) = 0.
0, 1, 14
Let r(t) be the first derivative of -2*t**3/21 + 58*t**2/7 - 1682*t/7 + 28. Let r(k) = 0. What is k?
29
Let w = 223/266 - 21/38. Let n(v) be the first derivative of -7 + 2/21*v**3 + 0*v**2 - w*v. Let n(z) = 0. Calculate z.
-1, 1
Let g be 10/(-3)*4/((-32)/12). Factor -d**2 - g*d**4 - 2*d**2 + 2*d + 8*d**4 + 0*d - d**5 - d**3.
-d*(d - 2)*(d - 1)**2*(d + 1)
Let p(s) be the second derivative of 4/9*s**3 - 8/9*s**4 - 9/10*s**5 + 0 + 14/9*s**7 + 0*s**2 + 13*s + 91/45*s**6. Determine f so that p(f) = 0.
-1, -1/2, 0, 2/7
Let i(x) be the third derivative of -x**8/504 - x**7/315 + x**6/60 + x**5/18 + x**4/18 - 71*x**2. Factor i(s).
-2*s*(s - 2)*(s + 1)**3/3
Let w(y) be the third derivative of -y**6/1260 - y**5/168 - y**4/84 - 13*y**3/6 + 6*y**2. Let r(p) be the first derivative of w(p). Find j, given that r(j) = 0.
-2, -1/2
Let o(x) = 9*x**2 - 15. Suppose 0 = -y + 3*u + 1, 0 = 4*y - 4*u - u - 4. Let q(n) = n**2 - n - 1. Let d(l) = y*o(l) - 6*q(l). Factor d(t).
3*(t - 1)*(t + 3)
Let v(u) = 5*u**3 - 120*u + 5. Let w(h) = -2*h**3 + h**2 + 60*h - 3. Let r(z) = 3*v(z) + 5*w(z). Factor r(k).
5*k*(k - 3)*(k + 4)
Let d(l) = -3*l**3 + 2*l**2 + 4*l + 3. Let o be d(-1). Let t(w) be the first derivative of 0*w**2 + 0*w**3 - 1/2*w**o + 0*w + 2. Factor t(c).
-2*c**3
Let v(u) be the first derivative of -u**8/840 + 3*u**7/140 - 2*u**6/45 + u**3 - 36. Let q(y) be the third derivative of v(y). What is d in q(d) = 0?
0, 1, 8
Let f(m) = m - 2. Let w be f(4). Let l(v) be the second derivative of v + 0*v**w + 1/12*v**4 + 0 + 0*v**3. Find u, given that l(u) = 0.
0
Let n(s) = -4*s + 18. Let a be n(4). Find u such that -10*u**2 + 11*u**a - u**5 - u**3 - u**2 - 2*u**4 = 0.
-1, 0
Let 1/3 - 7/9*c - 1/9*c**3 + 5/9*c**2 = 0. What is c?
1, 3
Let l(k) = k**2 + 5*k - 3. Let z be l(-7). Let q = 13 - 10. Factor 3*r + r**q + 5*r**2 + 2*r**3 - z*r**2.
3*r*(r - 1)**2
Suppose -2*s - 69 = -z + 2*s, 2*s = 2*z - 162. What is w in 5*w**4 - 162*w**3 + 52*w**3 + z*w**2 + 30*w**4 - 10*w = 0?
0, 1/7, 1, 2
Let a(x) be the second derivative of 3*x**5/25 - 13*x**4/30 + 2*x**3/15 - 112*x. Factor a(m).
2*m*(m - 2)*(6*m - 1)/5
Let n be (-4)/14 + (-432)/56. Let x(c) = -4*c - 14. Let a be x(n). Determine f, given that -a - 27*f**2 - 27*f + 12*f - 63 - 66*f - 3*f**3 = 0.
-3
Let j(w) be the third derivative of w**8/84 + 46*w**7/35 + 133*w**6/15 + 394*w**5/15 + 87*w**4/2 + 130*w**3/3 - 224*w**2. Factor j(o).
4*(o + 1)**4*(o + 65)
Let z(f) be the third derivative of f**5/4 + 445*f**4/36 - 100*f**3/9 + 882*f**2. Factor z(k).
5*(k + 20)*(9*k - 2)/3
Let m be ((-3)/72)/((-7)/42). Let q(z) be the second derivative of m*z**4 + 0*z**2 - 4*z + 0*z**3 + 0. Determine o, given that q(o) = 0.
0
Let w = 73 + 148. Let m = w + -2429/11. What is i in 30/11*i**3 + 0 + 8/11*i**5 + m*i - 14/11*i**2 - 26/11*i**4 = 0?
0, 1/4, 1
Factor 6/5 - 18/5*b**2 - 52/5*b.
-2*(b + 3)*(9*b - 1)/5
Let j(p) = -p**4 - p**2 + 2*p + 1. Let s(v) = 4*v**4 + 7*v**3 + 5*v**2 - 10*v - 5. Let z(r) = 5*j(r) + s(r). Let z(q) = 0. What is q?
0, 7
Let y = -8 - -15. Let s(m) = m**2 - 4*m - 19. Let b be s(y). Solve 11*f**b + 37*f - 80 + 3*f + 17*f**2 - 33*f**2 = 0.
4
Let c = -3 - -5. Solve 151*p - 181*p - 13*p**c + 4*p**2 - 9 = 0.
-3, -1/3
Let k be 1/(8/28 - 6/168). Let t(u) be the third derivative of -1/4*u**k + 0*u + 0 + 2*u**2 - 1/40*u**5 - u**3. Factor t(n).
-3*(n + 2)**2/2
Suppose -32*u = -27*u - 5*i - 30, -3*u - 3*i = -18. Let y(z) be the second derivative of 0 + u*z + 1/12*z**4 - 1/2*z**2 + 0*z**3. Factor y(b).
(b - 1)*(b + 1)
Let p(h) = -5*h - 2. Let f be p(-2). Factor 6*m**2 + f*m**2 - 18*m**3 + m + 3*m + 0*m**2.
-2*m*(m - 1)*(9*m + 2)
Let l = -327244/55 + 5951. Let n = l - -1/11. Factor 0 + 0*d + 2/5*d**2 - n*d**3.
-2*d**2*(3*d - 1)/5
Let o(v) be the second derivative of v**5/30 + 7*v**4/6 + 20*v**3/9 - 212*v. Find d such that o(d) = 0.
-20, -1, 0
Let f(y) be the second derivative of -1/60*y**4 + 0 - 14*y + 0*y**3 + 1/100*y**5 + 0*y**2. Factor f(n).
n**2*(n - 1)/5
Let f = -974 + 978. Let j(h) be the second derivative of -2/3*h**3 - 5*h + 1/5*h**5 + 2*h**2 + 0 - 1/3*h**f. Factor j(u).
4*(u - 1)**2*(u + 1)
Let n = -138/307 - -1473/1228. Factor 7/8*m - 1/8*m**2 - n.
-(m - 6)*(m - 1)/8
Let b be (-2)/8 - (-4)/(24 + -8). Let o(g) be the second derivative of -g + 1/4*g**4 + 3/2*g**2 + g**3 + b. Solve o(u) = 0 for u.
-1
Suppose -5*s + 990 = -h, 3*s + h = -s + 783. Factor -l**3 + l + l**2 + 197 - l**4 - s.
-l*(l - 1)*(l + 1)**2
Suppose 36 = -4*x + 3*z - 54, 2*x + 34 = -4*z. Let n = x - -25. Factor n*y**2 + 14 - 2 - 4 + 12*y.
4*(y + 1)*(y + 2)
Suppose -42*a = -30*a - 12. Let r(p) be the first derivative of -1/2*p + 1/2*p**2 + a - 1/6*p**3. Factor r(g).
-(g - 1)**2/2
Let t(m) = m**3 + 2*m**2 - 9*m. Let h be t(-4). Let n(c) = 3*c**2 - 2*c + 1. Let w be n(1). Factor h*v**w + 4*v**4 + 2*v**5 + 8*v**3 - 3*v**4 + 7*v**4 + 2*v**3.
2*v**2*(v + 1)**2*(v + 2)
Let s(p) be the first derivative of -p**6/150 + p**4/60 + 44*p + 3. Let u(a) be the first derivative of s(a). Solve u(c) = 0 for c.
-1, 0, 1
Let q(f) = 19*f - 1157. Let m be q(61). Solve -6/19*s + 6/19*s**3 - 4/19 + 2/19*s**4 + 2/19*s**m = 0.
-2, -1, 1
Suppose -4*t + 16 - 2 = 3*m, 0 = -3*t + 4*m - 2. Factor 22*j**2 + j**t - 60 + 85*j + 2*j**2.
5*(j + 4)*(5*j - 3)
Let n(r) be the first derivative of 5*r**4/4 - 130*r**3/3 + 245*r**2/2 - 120*r + 675. Determine m so that n(m) = 0.
1, 24
Let p = -41 - -43. Suppose -p*x + 1 = -7. Factor 0*o + 0 + 2/5*o**5 + 6/5*o**x - 8/5*o**2 + 0*o**3.
2*o**2*(o - 1)*(o + 2)**2/5
Let w(x) be the second derivative of -18*x - 1/9*x**2 + 1/54*x**4 - 1/27*x**3 + 0 + 1/90*x**5. Factor w(l).
2*(l - 1)*(l + 1)**2/9
Let -48/7*b + 864/7*b**2 - 1944*b**4 - 2376/7*b**3 + 0 - 1701*b**5 = 0. Calculate b.
-2/3, 0, 2/21
Factor 1/4*x**2 - 3/4*x - 1.
(x - 4)*(x + 1)/4
Find k, given that -5/9*k**3 + 4/9*k + 0*k**4 + 1/9*k**5 + 0*k**2 + 0 = 0.
-2, -1, 0, 1, 