ve of -8 + 2/3*m - 2/15*m**5 + 1/3*m**4 - 2/3*m**2 + 0*m**3. Find o, given that k(o) = 0.
-1, 1
Let q(k) = k**3 + 4*k**2 + 2*k - 1. Let c be q(-3). Let z be -2 + 3 + -3 - -74. Solve 14*t**2 + z*t**3 + 12*t**4 + 39*t - 21*t**3 + 6 + 58*t**c = 0 for t.
-2, -1, -1/4
Let z(f) be the second derivative of -2*f**6/75 - f**5/25 + 2*f**4/5 + 8*f**3/15 - 16*f**2/5 - 5*f - 4. Determine q so that z(q) = 0.
-2, 1, 2
Let c(w) = w + 1. Let n(i) = 3*i**3 + 12*i**2 - 2*i - 23. Let r(o) = 5*c(o) + n(o). Suppose r(p) = 0. What is p?
-3, -2, 1
Let p(t) be the second derivative of -15/2*t**2 - 5/3*t**3 + 5/12*t**4 + 0 - 13*t. Solve p(o) = 0 for o.
-1, 3
Let s = 6971 - 41483/6. Factor -21*n**2 - 1/6*n**4 + 98/3*n + s + 10/3*n**3.
-(n - 7)**3*(n + 1)/6
Let k(y) be the first derivative of y + 1/2*y**2 - 1/4*y**4 - 1/3*y**3 - 6. Let k(u) = 0. What is u?
-1, 1
Let q(w) be the first derivative of w**6/540 + w**5/90 + w**4/54 - 29*w**2/2 + 14. Let b(v) be the second derivative of q(v). Factor b(h).
2*h*(h + 1)*(h + 2)/9
Let c(m) = -2*m**2 - m - 5. Let y(i) = -5 + i - 2*i**2 - 2*i - i - 1. Let r(z) = 6*c(z) - 5*y(z). Determine x, given that r(x) = 0.
0, 2
Let w = 2024/3027 + -2/1009. Factor -2/9 - 2/3*c - 2/9*c**3 - w*c**2.
-2*(c + 1)**3/9
Factor 1/2*r**2 + 1/2*r**3 + 0 - 6*r.
r*(r - 3)*(r + 4)/2
Let o = 179 - 173. Let m(q) be the third derivative of 0 - 5/6*q**5 - 125/18*q**4 + 6*q**2 + 0*q - 1/18*q**o - 625/18*q**3 - 1/630*q**7. Factor m(i).
-(i + 5)**4/3
Let z(d) be the second derivative of d**5/150 + d**4/30 - d**2/2 + 22*d. Let i(k) be the first derivative of z(k). What is h in i(h) = 0?
-2, 0
Let d(b) be the second derivative of b**5/4 + 5*b**4/4 + 19*b. Solve d(h) = 0 for h.
-3, 0
Let x(h) = -1 + 3*h - 2*h + 2*h - 20. Let o be x(12). Let o*n**3 + 30*n**2 + 5*n + 5*n**5 + 15*n**3 + 20*n**4 - 10*n**2 = 0. Calculate n.
-1, 0
Let 32 + 178*v + 19 - 8*v**4 + 2*v**4 - 10*v - 68*v**3 + 21 - 166*v**2 = 0. Calculate v.
-6, -1/3, 1
Let x = -4733 + 9467/2. Factor 0 + 1/2*b**3 - b + x*b**2.
b*(b - 1)*(b + 2)/2
Find j, given that -98/11 - 224/11*j - 156/11*j**2 - 32/11*j**3 - 2/11*j**4 = 0.
-7, -1
Let k be 14/180*(-33)/(-308). Let d(w) be the third derivative of 0 + 0*w**3 - k*w**5 - 6*w**2 - 1/48*w**4 + 0*w. Solve d(o) = 0 for o.
-1, 0
Let t be 56/26 - (16 + (-5562)/351). Factor -11/6*h**t + 1/2*h**3 - 2/3 + 2*h.
(h - 2)*(h - 1)*(3*h - 2)/6
Let p(m) be the second derivative of 2/9*m**3 - 1/4*m**2 + 0 + 1/30*m**5 - 13*m + 5/24*m**4. Find d, given that p(d) = 0.
-3, -1, 1/4
Let w(m) be the first derivative of -3/2*m**2 + 1/4*m**3 + 9/4*m - 2. Factor w(c).
3*(c - 3)*(c - 1)/4
Suppose -3*j - 3 = 0, -4*p + 3*j = -89 + 86. What is s in 0 + p*s + 2*s**2 - 1/5*s**3 = 0?
0, 10
Let w(o) = 84*o**2 - 657*o + 8739. Let f(l) = 19*l**2 - 164*l + 2185. Let p(d) = -9*f(d) + 2*w(d). Suppose p(m) = 0. What is m?
27
Suppose 5*h - 50 = 25. Factor -8*t**2 + 25*t + 4*t**2 - h*t**3 - 5*t**2 + 20 - t**2.
-5*(t + 1)**2*(3*t - 4)
Let n(l) be the first derivative of 4*l**3/3 + 47*l**2/2 - 12*l - 70. Find k such that n(k) = 0.
-12, 1/4
Let b(u) be the third derivative of -u**8/784 - u**7/245 + 3*u**6/280 + u**5/35 - u**4/14 - 9*u**2 - 12*u. Factor b(a).
-3*a*(a - 1)**2*(a + 2)**2/7
Let q = 19 - -71. Let f be (-20)/q + 6*(-8)/(-54). Suppose h - 1/3*h**3 + f*h**2 + 0 = 0. Calculate h.
-1, 0, 3
Suppose n + 4*x = -8, -2*n - 3*x + x = -8. Suppose n = 3*q + 2. Factor -p**4 + 2*p**4 + 5*p + 4*p**3 - p + 5*p**2 - q*p.
p*(p + 1)**2*(p + 2)
Let q(s) = 2*s**2 - 41*s - 64. Let d be q(22). Suppose 2/9 + 2/9*m**d + 4/9*m = 0. What is m?
-1
Let s = 353/774 - 1/86. Let o(f) be the first derivative of 0*f - 6 + s*f**3 - 2/3*f**2. Suppose o(q) = 0. What is q?
0, 1
Let f(p) = -p**4 + 6*p**3 - 4*p - 4. Let j(d) = -3*d**4 + 17*d**3 - 11*d - 11. Let y(x) = -11*f(x) + 4*j(x). Factor y(o).
-o**3*(o - 2)
Let 0*m + 1/4*m**5 + 0*m**2 + 0 + 0*m**3 + 3*m**4 = 0. Calculate m.
-12, 0
Suppose -5*n + 9*n = 20. Determine i so that -6*i**2 - n*i**5 - 8*i**2 + 10*i**3 - 5*i**2 + 5 + 5*i**4 - 5*i + 9*i**2 = 0.
-1, 1
Let k(m) be the first derivative of -2 + 0*m + m**4 + 32*m**2 - 32/3*m**3. Factor k(o).
4*o*(o - 4)**2
Let r(s) be the third derivative of -s**5/210 - s**4/84 + 44*s**3/7 + 397*s**2 + 2. Determine p, given that r(p) = 0.
-12, 11
Let w(i) be the third derivative of -i**8/448 + i**7/120 + i**6/160 - 11*i**5/240 + i**3/6 - 74*i**2. Suppose w(f) = 0. Calculate f.
-1, -2/3, 1, 2
Let s(t) be the second derivative of -t**4/14 - 12*t**3/7 - 108*t**2/7 - 25*t + 2. Suppose s(q) = 0. Calculate q.
-6
Let m(h) be the third derivative of -h**7/70 + h**6/8 + 7*h**5/10 + 759*h**2. Factor m(o).
-3*o**2*(o - 7)*(o + 2)
Let m(x) be the first derivative of 2/21*x**3 + 0*x - 5/14*x**4 - 3 + 0*x**2 + 8/35*x**5. Factor m(q).
2*q**2*(q - 1)*(4*q - 1)/7
Let r(n) be the first derivative of 1/6*n**3 - 1/2*n + 0*n**2 + 16. Factor r(g).
(g - 1)*(g + 1)/2
Let b be 273/(-1274) - ((-10)/4 - -2). Factor 0 - b*a**2 - 6/7*a.
-2*a*(a + 3)/7
Let h be (-189)/(-39) - -1 - 2/(-13). Suppose -16*i + 19*i = h. Find r such that -i - 11/4*r**3 + 3/2*r**2 + 3/4*r**4 + 3*r = 0.
-1, 2/3, 2
Let l be (-14 + 13)/((-2)/12). Factor 9*v**3 + l*v**2 + 15*v**4 + 6*v**3 + 5*v**5 - v**2.
5*v**2*(v + 1)**3
Let u(r) be the first derivative of -4*r**5 + 0*r + 5/2*r**2 + 5/6*r**6 - 20/3*r**3 + 15/2*r**4 + 16. Suppose u(q) = 0. Calculate q.
0, 1
Let b = -8734/3 + 2912. Determine y so that -4/3*y**4 + b*y + 4/3*y**2 + 0 + 2*y**5 - 8/3*y**3 = 0.
-1, -1/3, 0, 1
Suppose -9*h + 50 = 23. Solve -1/3 + 5/6*n**h - 1/6*n**4 + 7/6*n - 3/2*n**2 = 0 for n.
1, 2
Let r(l) be the third derivative of -l**8/3024 + l**7/945 + 11*l**6/1080 - l**5/45 - 77*l**2 - 3. Suppose r(m) = 0. What is m?
-3, 0, 1, 4
Let q(a) be the second derivative of -a**7/1120 + a**6/240 - a**5/160 + a**3/3 + a. Let b(z) be the second derivative of q(z). Factor b(r).
-3*r*(r - 1)**2/4
Factor -2*f + 36/7 - 2/7*f**2.
-2*(f - 2)*(f + 9)/7
Let m(h) = h**2 - 35*h + 152. Let s be m(5). Determine j, given that s*j**2 + 30/11*j**4 - 58/11*j**3 + 10/11*j - 4/11 = 0.
-2/5, 1/3, 1
Let t be (-6)/4*36/(-27). Factor -11*b**4 + 5*b**3 - b**3 + 9*b**4 - t*b**2.
-2*b**2*(b - 1)**2
Let x = 25007/5 - 5001. Determine h, given that 1 + 8/5*h - 3/5*h**4 - 8/5*h**3 - x*h**2 = 0.
-5/3, -1, 1
Let o(i) = i**3 - 4*i**2 + i. Let s be o(3). Let z be (3 - -3)*s/(-9). Factor -403*u**2 - 2*u**4 - 3*u**z + 403*u**2 - 5*u**5.
-5*u**4*(u + 1)
Find n, given that -5*n - 26*n + 3 - 4*n**2 - 30*n + 17*n + 45 = 0.
-12, 1
Let l(w) be the second derivative of 0 + 1/2*w**3 + 1/4*w**4 + 1/20*w**5 + 1/2*w**2 + 39*w. Factor l(j).
(j + 1)**3
Let t(d) be the second derivative of 0 - 1/84*d**4 + 2/7*d**2 + 30*d + 2/21*d**3 - 1/140*d**5. Suppose t(b) = 0. Calculate b.
-2, -1, 2
Let p(d) = -d**4 - d**2 - d + 1. Let i(f) = -10*f**4 - 2*f**3 - 14*f**2 - 10*f + 12. Let j be ((-2)/4)/(2/4). Let s(r) = j*i(r) + 12*p(r). Factor s(b).
-2*b*(b - 1)**2*(b + 1)
Let p(w) be the first derivative of -8/3*w**3 + 19 + 4/5*w**5 + 0*w + 0*w**2 - w**4. Factor p(b).
4*b**2*(b - 2)*(b + 1)
Let d(u) be the third derivative of -u**8/504 + 4*u**7/315 - u**6/45 - u**5/45 + 5*u**4/36 - 2*u**3/9 - 77*u**2. Find k, given that d(k) = 0.
-1, 1, 2
Let n(u) be the second derivative of u**7/21 - 7*u**6/15 + u**5/5 + 32*u**4/3 - 32*u**3 - 13*u + 1. Factor n(f).
2*f*(f - 4)**2*(f - 2)*(f + 3)
Let m(h) be the first derivative of 5*h**4/4 - 50*h**3/3 + 165*h**2/2 - 180*h + 26. Determine b, given that m(b) = 0.
3, 4
Let u(j) be the first derivative of 5*j**3/3 + 25*j**2/2 - 30*j + 25. Find z, given that u(z) = 0.
-6, 1
Factor -n**3 - 2/3*n**4 + 1/3*n**5 + 8/3*n**2 - 4/3*n + 0.
n*(n - 2)*(n - 1)**2*(n + 2)/3
Let i(f) = f**3 - 11*f**2 + 54*f - 590. Let t be i(11). Factor 93/4*g**3 + 0 + 3*g**t + 42*g**2 - 12*g.
3*g*(g + 4)**2*(4*g - 1)/4
Let v be 38/(-112)*-1 + (-73)/584. Let d(o) be the third derivative of 11*o**2 + 0*o - 1/140*o**5 - v*o**3 + 1/14*o**4 + 0. Factor d(k).
-3*(k - 3)*(k - 1)/7
Let q = 11462/14315 + -2/2863. Factor 0*d**3 + 1/5*d**5 + 0 + 0*d - q*d**2 + 3/5*d**4.
d**2*(d - 1)*(d + 2)**2/5
Let y(m) be the first derivative of 21*m**4/4 + 5*m**3 - 24*m**2 + 12*m - 63. Solve y(c) = 0.
-2, 2/7, 1
Let m be -1 + (1 - -2) + -1. Let t(j) = j**2 + 1. Let v(r) = 5*r**2 + 15. Let u(z) = m*v(z) - 10*t(z). What is d in 