ond derivative of 0*t**2 + 0*t**4 + 28*t - 1/14*t**7 + 0*t**5 + 1/10*t**6 + 0*t**3 + 0. Let n(r) = 0. What is r?
0, 1
Suppose 2*f - 3*l + 7*l - 1228 = 0, -4*f - 5*l + 2471 = 0. Let c be 8/(-20) + f/10. Suppose -31*a**5 + 4*a**3 - 33*a**5 + 2*a**4 + c*a**5 = 0. What is a?
-1, 0, 2
Determine b, given that -1231*b**2 - 5*b**4 - 3380 - 214*b**3 + 6500*b - 1634*b**2 - 36*b**3 = 0.
-26, 1
Let c(l) be the third derivative of l**8/168 - l**7/21 + l**6/20 + 17*l**5/30 - 7*l**4/3 + 4*l**3 + 299*l**2. Solve c(b) = 0 for b.
-2, 1, 2, 3
Suppose 3*b = 3*v + 27, 0 + 3 = -2*b - 5*v. Suppose 58 + 56 = b*y. Factor 4*i**4 + 14*i**3 - 11*i**3 - y*i**3 + 16*i**2 - 16*i + 8*i**2 + 4.
4*(i - 1)**4
Let p(z) be the first derivative of z**6/6 + 4*z**5/15 + z**4/12 - 250. Factor p(g).
g**3*(g + 1)*(3*g + 1)/3
Let l = -127/4 - -747/20. Find m, given that 2*m**2 + l*m - 6/5 = 0.
-3, 1/5
Let k(l) be the third derivative of -1/42*l**4 - 2/105*l**5 + 0*l + 2/21*l**3 + 0 + 2/735*l**7 - 20*l**2 - 1/588*l**8 + 1/105*l**6. What is z in k(z) = 0?
-1, 1
Let l = 9 + -11. Let q(a) = a**2 - 2. Let f be q(l). Factor -2/3*c**3 + 0 + 8/3*c + 0*c**f.
-2*c*(c - 2)*(c + 2)/3
Let u = 17 - 15. Let t be (u/5)/(4/15). Solve -3/2*d**2 + t*d - 3/2*d**3 + 3/2 = 0 for d.
-1, 1
Let v(y) = 2*y**4 - 2*y**3 - 2*y**2 - y + 1. Let l(c) = 8*c**4 + 32*c**3 + 138*c**2 - 899*c - 5117. Let o(h) = 2*l(h) - 6*v(h). Factor o(m).
4*(m - 5)*(m + 8)**3
Let l be (-169)/338*(1 - 1). Let i(z) be the second derivative of l*z**2 + 1/105*z**6 + 1/35*z**5 + 4*z + 0*z**3 + 0 + 1/42*z**4. What is c in i(c) = 0?
-1, 0
Let h(o) be the second derivative of 0 + 0*o**4 - 1/1980*o**6 - o + 1/660*o**5 + 1/2*o**3 + 0*o**2. Let n(x) be the second derivative of h(x). Factor n(z).
-2*z*(z - 1)/11
Let o be (125/50)/(4/18). Factor -81/4*f**3 + 8*f + o*f**2 + 1.
-(f - 1)*(9*f + 2)**2/4
Let p(g) = -g - 1. Let w be p(3). Let h be -3 + w/((-12)/15). Factor -6*c**3 + 2*c**3 - 4*c**h - c**4 + c**3 + 2*c**2.
-c**2*(c + 1)*(c + 2)
Let d be (-45)/(-810)*48 - (-4)/(-18)*3. Find x such that 111/4*x**d + 45/4*x + 123/4*x**3 + 3*x**5 + 3/2 + 63/4*x**4 = 0.
-2, -1, -1/4
Let y(l) = -30*l**4 - 171*l**3 - 84*l**2 - 5*l. Let o(c) = 44*c**4 + 256*c**3 + 128*c**2 + 8*c. Let k(h) = 5*o(h) + 8*y(h). Determine a so that k(a) = 0.
-4, -2/5, 0
Find z such that -41*z - 1/2*z**2 - 1681/2 = 0.
-41
Let q = 5 - 3. Let w(h) = -32*h**2 + 41*h**3 + 2*h**5 + 8*h + h**3 - 24*h**4 + q*h**5. Let x(m) = -2*m**4. Let u(k) = -2*w(k) + 2*x(k). Solve u(o) = 0 for o.
0, 1/2, 1, 2
Let n be (120/128*(-6)/(-5))/6. Let o(l) be the first derivative of -n*l**4 + 1/2*l**3 + 10 - 6*l + 3/2*l**2. Solve o(z) = 0 for z.
-2, 2
Let n be 5/(3 + -2) + -1. Suppose n*m - 9 = 11. Let 5*i**2 + m*i - i**2 + i**2 = 0. What is i?
-1, 0
Let i(f) be the first derivative of -f**4/2 - 2*f**3 - 2*f**2 - 507. Suppose i(d) = 0. What is d?
-2, -1, 0
Let o be 2/(0 - 12) + 83/(-6). Let f = o + 14. Factor -6/11*m**2 + f + 2/11*m.
-2*m*(3*m - 1)/11
Let a(f) be the second derivative of -f**4/48 - f**3/2 - 9*f**2/2 - 3*f + 19. Find z such that a(z) = 0.
-6
Let o(w) = -2*w**2 - 10*w + 3. Let l be o(-5). Suppose -25*k**2 - 13*k**4 + 10*k - 7*k**4 - 53*k**l - 2*k**3 = 0. Calculate k.
-2, -1, 0, 1/4
Suppose 2*m - r - 23 = 2*r, m - 5*r = 29. Determine j, given that 2*j**4 + 2*j**5 + 2*j**2 - m*j**4 - 63*j**3 + 0*j**2 + 61*j**3 = 0.
-1, 0, 1
Factor -1571 - 3261 + 2852*h - 2572*h - 5*h**2 + 912.
-5*(h - 28)**2
Factor -119/6*n**2 - 2 - 40/3*n + 49/6*n**3.
(n - 3)*(7*n + 2)**2/6
Suppose 2*c + 0*c - 51 = -3*m, 3*m - 33 = 4*c. Factor -m*n + 3*n + 4*n**2 - n**2 - 5 + 17.
3*(n - 2)**2
Let h(y) = 5*y - 1. Let p(m) = -m**2 - 37*m + 50. Let v(q) = 30*h(q) + 5*p(q). Solve v(f) = 0 for f.
-11, 4
Let o(p) be the third derivative of -p**8/35280 + p**7/2940 - p**6/630 + p**5/60 - 18*p**2. Let v(r) be the third derivative of o(r). Find g such that v(g) = 0.
1, 2
Let n(f) be the second derivative of 0 - 1/20*f**4 - 2*f + 0*f**3 - 11/2*f**2 + 1/300*f**6 - 1/75*f**5. Let o(h) be the first derivative of n(h). Factor o(w).
2*w*(w - 3)*(w + 1)/5
Let w be (-3)/(-9) - (13 - (2 + 12)). Suppose 1/3*u**2 + 4/3 + w*u = 0. What is u?
-2
Suppose n = -3*w + 18, 4*n - w - 11 = -4. Let x(z) be the second derivative of 0*z**3 + 1/80*z**5 - 1/24*z**4 + 0 + n*z + 0*z**2. Factor x(a).
a**2*(a - 2)/4
Suppose 2*a - 16 = 0, 217*b - 47 = 212*b - 4*a. Factor -4/5*f - 2/15*f**2 + 0 + 2/15*f**b.
2*f*(f - 3)*(f + 2)/15
Let u be (-888)/(-368) + (-50)/(-575). Find d, given that 5/2*d**3 + 5*d**2 + 0 - u*d**4 + 0*d = 0.
-1, 0, 2
Determine j so that 754/3*j**2 + 32/3*j**4 - 368/3*j**3 - 310/3*j + 12 = 0.
1/4, 2, 9
Let m = 104 + -91. Let s = m + -11. Find y such that -y**4 + 0 + 0*y + 0*y**s + 1/3*y**3 + 2/3*y**5 = 0.
0, 1/2, 1
Let f(t) be the first derivative of -t**2 + 2/3*t**3 - 4*t + 13. Let f(y) = 0. Calculate y.
-1, 2
Suppose -9 = -2*a - a. Suppose a = -t + 8. Suppose 0*m**5 - 2*m**5 + 4*m**t = 0. Calculate m.
0
Determine w, given that 0 + 2/5*w**3 - 224/5*w**2 + 6272/5*w = 0.
0, 56
Let y(j) be the first derivative of j**8/9240 - j**7/1155 + j**6/495 + 8*j**3/3 - 13. Let i(a) be the third derivative of y(a). Find w such that i(w) = 0.
0, 2
Suppose 25 = 2*w + 5*i, w = 3*i + 4 - 19. Let o(g) be the third derivative of w*g - 3*g**2 + 3/20*g**5 + 0*g**3 + 0 + 1/4*g**4. Factor o(j).
3*j*(3*j + 2)
Let u(t) be the second derivative of t**4/12 - 7*t**3/12 - 15*t**2/4 - 59*t. Factor u(q).
(q - 5)*(2*q + 3)/2
Suppose 4*f = -j - 29, 5*j - 5*f = 2*j - 172. Let k = j + 52. Factor 2*u + 1/4*u**k + 1 + 5/4*u**2.
(u + 1)*(u + 2)**2/4
Let n(v) = v**3 - v**2 - v. Let t(s) = 2*s**5 - 10*s**4 - 6*s**3 + 86*s**2 - 124*s + 54. Let o(p) = 2*n(p) + t(p). Let o(f) = 0. Calculate f.
-3, 1, 3
Suppose 0 = i - 3*i. Let t be (-4 - 610/(-40)) + -9. Factor 1/2*x**3 + t*x**2 + i - 9/4*x**4 - 1/2*x.
-x*(x - 1)*(x + 1)*(9*x - 2)/4
Let f = 24 - 22. Factor 10 + 17 - 7 - 20*n + 5*n**2 + 0*n**f.
5*(n - 2)**2
Determine d, given that 15 + 3/4*d**2 + 12*d - 3/4*d**3 = 0.
-2, 5
Let p be 1246/70 + 2/10. Let r = p - 20. Let m(a) = a**3 - a**2 + a. Let s(d) = -5*d**3 - d**2 + 15*d + 8. Let q(b) = r*m(b) - 2*s(b). Factor q(z).
4*(z - 2)*(z + 2)*(2*z + 1)
Let o(i) be the first derivative of -i**6/42 + 3*i**5/35 + 5*i**4/28 - i**3/7 - 2*i**2/7 + 35. Let o(n) = 0. Calculate n.
-1, 0, 1, 4
Let o = 68 - 68. Let n(r) be the third derivative of -1/30*r**5 + o*r**3 + 0 + 0*r - 1/24*r**4 + 5*r**2. Determine s so that n(s) = 0.
-1/2, 0
Factor 2950 + 6*z - 2951 - 30*z**2 + 10*z - 5*z.
-(5*z - 1)*(6*z - 1)
Let u(s) be the first derivative of 24*s**6 + 384*s**5/5 + 49*s**4 - 284*s**3/3 - 170*s**2 - 100*s + 200. What is r in u(r) = 0?
-1, -5/6, 1
Factor -h**2 + 7*h**2 + 3*h**2 + 19*h**2 - 14*h**3 - 4*h**2.
-2*h**2*(7*h - 12)
Suppose 16*r = -18*r. Let s(g) be the second derivative of 0*g**4 + r*g**5 + 0*g**3 - 1/21*g**7 + 2/15*g**6 + 0*g**2 + 0 + 9*g. Find x, given that s(x) = 0.
0, 2
Let n(d) be the third derivative of -5*d**8/1176 - 16*d**7/245 - 13*d**6/84 - d**5/35 + 4*d**4/21 - 118*d**2. Suppose n(m) = 0. Calculate m.
-8, -1, 0, 2/5
Let j = -13400 - -67018/5. Factor 12/5*x + j + 2/5*x**2.
2*(x + 3)**2/5
Let y be (-17)/510*54/(-4). Let w(z) be the second derivative of 1/2*z**4 - 3*z**2 + 0 + 3/2*z**3 - y*z**5 + 6*z. Factor w(i).
-3*(i - 1)*(i + 1)*(3*i - 2)
Let t(u) be the second derivative of -u**5/160 - 3*u**4/32 - u**3/2 - 5*u**2/4 - 62*u. Solve t(b) = 0.
-5, -2
Suppose -12*d + 3*d**5 + 2*d**4 - 9*d**3 + 7*d**2 + 17*d**2 - 14*d**4 + 6*d**4 = 0. What is d?
-2, 0, 1, 2
Let x(v) = -25*v**2 - 83*v - 465. Let u(c) = -9*c**2 - 28*c - 156. Let d(y) = 11*u(y) - 4*x(y). Factor d(g).
(g + 12)**2
Factor -293*w**2 + 92*w**3 - 187*w**2 - 576*w + 68579*w**4 - 68583*w**4.
-4*w*(w - 12)**2*(w + 1)
Let f(c) = -75*c + 34*c - 26 + 37*c. Let n be f(-7). Determine k, given that -3/2 + 5*k - 3/2*k**n = 0.
1/3, 3
Let s be (-268)/(-603) - 4/9. Factor 2/9*c**2 + s*c**3 + 0*c - 2/9*c**4 + 0.
-2*c**2*(c - 1)*(c + 1)/9
Let i(d) be the first derivative of -3*d**4/20 - 2*d**3/5 + 6*d**2/5 + 24*d/5 - 64. Factor i(g).
-3*(g - 2)*(g + 2)**2/5
Let y(x) = -x + 12. Let s be y(9). Let i(t) = -3*t - 3. Let w be i(-2). Factor -11*n - w*n**3 + 7*n**s - 4*n**2 + 3*n.
4*n*(n - 2)*(n + 1)
Suppose 6*i**4 - 14/3*i**2 + 0 + 20/3*i**3 - 16/3*i = 0. Calculat