) be the second derivative of -i**7/126 + i**6/90 + 7*i**5/60 - i**4/36 - i**3/3 - 48*i. What is y in v(y) = 0?
-2, -1, 0, 1, 3
Factor -52*u**4 + 100*u**3 + 0*u**2 + 12*u + 19*u - 31*u + 8*u**2.
-4*u**2*(u - 2)*(13*u + 1)
Find d, given that 24/11*d - 1/11*d**3 + 23/11*d**2 + 0 = 0.
-1, 0, 24
Let y(a) be the second derivative of -10/3*a**3 + 0 + 50*a**2 + 6*a + 1/12*a**4. Factor y(k).
(k - 10)**2
Factor -106/3*u + 0 - 2/3*u**2.
-2*u*(u + 53)/3
Let l(u) be the first derivative of 24/55*u**5 + 0*u**3 + 5/33*u**6 + 0*u + 2/11*u**4 - 49 + 0*u**2. Solve l(s) = 0.
-2, -2/5, 0
What is s in 5*s**3 - 65*s + 25 - 102*s**2 + 50 + 87*s**2 = 0?
-3, 1, 5
Let -8*u**4 + 36/5*u + 734/5*u**2 + 594/5*u**3 - 64/5 = 0. What is u?
-1, -2/5, 1/4, 16
Let l(u) be the third derivative of u**8/1680 + 31*u**7/1050 + 44*u**6/75 + 416*u**5/75 + 256*u**4/15 - 2048*u**3/15 - 18*u**2 + 2. Factor l(i).
(i - 1)*(i + 8)**4/5
Let p(b) be the third derivative of b**10/113400 - b**9/5670 + b**8/2160 + b**5/3 + 5*b**2 + 4*b. Let f(v) be the third derivative of p(v). Factor f(w).
4*w**2*(w - 7)*(w - 1)/3
Factor -2 - 1/4*b + 7/4*b**2.
(b + 1)*(7*b - 8)/4
Let n = -8129/30 - -271. Let x(k) be the third derivative of n*k**3 + 0 + 1/40*k**4 + 0*k - 7*k**2 + 1/150*k**5. Find o, given that x(o) = 0.
-1, -1/2
Let z(l) be the first derivative of 40/3*l**3 + 4*l**2 + 25/2*l**4 - 10 + 0*l. Factor z(m).
2*m*(5*m + 2)**2
Let i(j) be the third derivative of j**6/40 + 13*j**5/240 - j**3/24 + 84*j**2. Suppose i(y) = 0. What is y?
-1, -1/3, 1/4
Let p(c) = -13*c**5 + 7*c**4 + 26*c**2 + 2*c + 11. Let v(w) = -7*w**5 + 4*w**4 + 14*w**2 + w + 6. Let h(i) = 6*p(i) - 11*v(i). Solve h(f) = 0 for f.
-1, 0, 1
Let g(r) be the first derivative of -r**8/168 + r**7/42 - r**6/40 - r**5/60 + r**4/24 - 15*r**2/2 + 9. Let u(f) be the second derivative of g(f). Factor u(m).
-m*(m - 1)**3*(2*m + 1)
Let l(w) be the second derivative of -6*w**6 + 0 - 4/3*w**7 - 17/3*w**4 - 13*w - 49/5*w**5 + 2*w**3 + 4*w**2. Suppose l(z) = 0. Calculate z.
-1, -1/2, 2/7
Find k, given that -348/7*k - 10092/7 - 3/7*k**2 = 0.
-58
Let d(g) = 8*g**2 - 45*g + 37. Let i(h) = -3*h**2 + 15*h - 12. Suppose 0 = q - 3*u + 17 - 4, -3*q + 26 = 4*u. Let s(o) = q*d(o) + 7*i(o). Factor s(r).
-5*(r - 2)*(r - 1)
Let g(a) be the first derivative of a**4/72 + a**3/9 + a**2/4 + 37*a + 41. Let t(f) be the first derivative of g(f). Determine u so that t(u) = 0.
-3, -1
Factor 21 - 87*f**2 + 243*f**2 - 2 - 3 + 104*f**2 + 528*f.
4*(f + 2)*(65*f + 2)
Let x(k) be the third derivative of 1/6*k**4 + 0*k**3 + 0 - 22*k**2 + 1/10*k**6 - 2/105*k**7 + 0*k - 1/5*k**5. Find j such that x(j) = 0.
0, 1
Let f = -6 + 6. Let b(c) be the third derivative of f*c**3 - 8*c**2 - 1/80*c**5 - 1/96*c**4 + 0 + 0*c. Find u, given that b(u) = 0.
-1/3, 0
Let t(g) be the first derivative of 94*g - 67*g**2 - 1 - 6*g**4 + 74/3*g**3. Let s(a) = 5*a**3 - 15*a**2 + 27*a - 19. Let v(o) = -28*s(o) - 6*t(o). Factor v(b).
4*(b - 2)**3
Let n = -1/278 + 281/834. Let w = 2/5 - -1/10. Let -1/2*g**4 + 1/6*g**3 - n*g + 0 + 1/6*g**5 + w*g**2 = 0. Calculate g.
-1, 0, 1, 2
Let m = 3234 + -16563/5. Let r = m + 79. Let 0*l + 2/5*l**3 + r*l**2 - 2/5*l**4 - 2/5*l**5 + 0 = 0. What is l?
-1, 0, 1
Let r(o) = -3*o**2 - 18*o + 3. Let u be r(-6). Suppose -4*s + 19 = -u*s + 4*a, 5*a = 20. Factor -2/5*d**s + 0 + 0*d - 2/5*d**2.
-2*d**2*(d + 1)/5
Factor -51*r + 45 + 31/5*r**2 - 1/5*r**3.
-(r - 15)**2*(r - 1)/5
Let y(w) be the third derivative of -w**5/3 - 155*w**4/24 - 35*w**3 + 4*w**2 - 52. Determine x so that y(x) = 0.
-6, -7/4
Let h(q) be the first derivative of -7*q**6/18 + 31*q**5/30 + 29*q**4/8 - 59*q**3/9 - 31*q**2/3 - 4*q - 54. Suppose h(y) = 0. Calculate y.
-2, -1/2, -2/7, 2, 3
Let n = 13267/1762 + -26/881. What is h in -25*h**5 + 85*h**3 - 185/4*h**4 - 25/4*h**2 + 0 - n*h = 0?
-3, -1/4, 0, 2/5, 1
Let m = -277 + 277. Let b(c) be the first derivative of m*c**4 - 1 - 1/3*c**6 - 4/5*c**5 + 4/3*c**3 + c**2 + 0*c. Solve b(g) = 0 for g.
-1, 0, 1
What is a in 12/7*a + 2/7*a**2 + 10/7 = 0?
-5, -1
Let g be 2*(-1)/(-9) - (-144)/243*3. Factor -1/7 + 2/7*p - 1/7*p**g.
-(p - 1)**2/7
Let c be (0 - 196) + 11/((-44)/8). Let i be ((-6)/22 - 0)*264/c. Determine l so that -i*l - 8/11*l**3 + 10/11*l**2 + 2/11*l**4 + 0 = 0.
0, 1, 2
Let v = 548/465 + 2/93. Solve 8/5 - v*w**2 + 2/5*w**4 + 8/5*w - 4/5*w**3 = 0 for w.
-1, 2
Let u(i) be the third derivative of i**6/24 - 2*i**5/3 - 10*i**4 - 10*i**2 - 4. Let u(g) = 0. Calculate g.
-4, 0, 12
Let t(k) = -11*k**3 + 110*k**2 - 109*k + 10. Let m(h) = 27*h**3 - 276*h**2 + 273*h - 24. Let g(y) = 5*m(y) + 12*t(y). Solve g(w) = 0.
0, 1, 19
Let r(n) be the first derivative of -n**6/165 - n**5/55 - n**4/66 - 13*n - 4. Let q(u) be the first derivative of r(u). Factor q(m).
-2*m**2*(m + 1)**2/11
Let p(b) be the second derivative of b**5/10 - 5*b**4 + 75*b**3 - 2*b - 59. Let p(d) = 0. What is d?
0, 15
Let z(s) = -s**3 - 8*s**2 + 7*s - 9. Let f be z(-9). Let o = 12 - f. Let 2*i**3 - 4*i**o - i**5 + 3*i**3 - i**4 + i**2 = 0. Calculate i.
-1, 0, 1
Suppose 104 = -0*z - 2*z - 2*s, -5*s = z + 60. Let u = 50 + z. Factor u + 2/7*a**2 - 4/7*a.
2*a*(a - 2)/7
Let k = -1564 - -1568. Let b(n) = 2*n**2 + 2*n + 2. Let c be b(-3). Find t such that -c*t + k + 5 - 5 + 2*t**2 + 8*t = 0.
1, 2
Let p = 4/131 + 365/917. Factor -p*t**2 + 12/7*t - 9/7.
-3*(t - 3)*(t - 1)/7
Let x(c) = 380*c**3 + 4970*c**2 + 3565*c - 980. Let z(t) = 67*t**3 + 877*t**2 + 629*t - 173. Let g(w) = -8*x(w) + 45*z(w). What is y in g(y) = 0?
-11, -1, 1/5
Let l(b) be the first derivative of -b**5 - 25*b**4/4 - 10*b**3 - 71. Factor l(o).
-5*o**2*(o + 2)*(o + 3)
Let b(s) be the first derivative of 2*s**5/5 - 13*s**4 - 2*s**3 + 76*s**2 + 104*s + 139. Find a such that b(a) = 0.
-1, 2, 26
Factor -4/7*x**2 + 0*x + 16/7*x**3 + 0.
4*x**2*(4*x - 1)/7
Let j(p) = 2*p**4 - 7*p**3 + 7*p**2 + 16*p - 1. Let y(x) = -x**4 + x**2 + 1. Let t(q) = -3*j(q) - 3*y(q). Factor t(f).
-3*f*(f - 4)**2*(f + 1)
Let j(g) be the third derivative of g**7/1960 - g**6/180 + 13*g**5/840 + g**4/28 - 5*g**3/2 + 8*g**2. Let u(q) be the first derivative of j(q). Factor u(a).
(a - 3)*(a - 2)*(3*a + 1)/7
Let g(i) be the second derivative of -i**5/20 - 11*i**4/6 + 23*i**3/6 - 8*i. Find c such that g(c) = 0.
-23, 0, 1
Factor -8/7*p - 2/7*p**4 + 0 + 8/7*p**2 + 2/7*p**3.
-2*p*(p - 2)*(p - 1)*(p + 2)/7
Factor 38/7*z + 40/7 - 2/7*z**2.
-2*(z - 20)*(z + 1)/7
Let y be -34*(-25)/5525 - -20*(-2)/(-78). Factor -4/5 - 2/15*p**2 - y*p.
-2*(p + 2)*(p + 3)/15
Solve -1/3*a**5 + 3*a**3 + 0 + 0*a + a**4 + 5/3*a**2 = 0.
-1, 0, 5
Let b(t) be the third derivative of 0*t + 1/12*t**5 - 8 - 5*t**3 - 2*t**2 + 25/24*t**4. Find h, given that b(h) = 0.
-6, 1
Let y be (6*11/528)/((-10)/(-4)). Let c(d) be the second derivative of 0 + 0*d**2 + d + y*d**4 + 1/10*d**3. Factor c(o).
3*o*(o + 1)/5
Solve -90*d**4 + 51*d**4 - 105*d**2 - 3*d**5 - 159*d**3 + 0*d**5 + 18*d**3 = 0.
-7, -5, -1, 0
Let r(w) be the third derivative of 5/6*w**5 + 0 - 1/15*w**6 - 7/2*w**4 - 3*w**2 + 3*w**3 + 0*w. Determine q so that r(q) = 0.
1/4, 3
Let m = -30 + 38. Suppose -2*l - 3*j - 4 = 0, l + j + m = -2*j. Factor 8*h**2 + l + 2*h**3 + 6*h - 2*h - h + 7*h.
2*(h + 1)**2*(h + 2)
Let z be 10/12 - (-119)/(-714). Factor 0*p + 0 - z*p**2.
-2*p**2/3
Let w = -16410 - -16414. Determine f, given that 3*f**2 + 2*f + 2*f**3 + 1/2 + 1/2*f**w = 0.
-1
Factor -19/4*l**3 + 9*l**2 - 1/2 - 15/4*l.
-(l - 1)**2*(19*l + 2)/4
Let o(r) be the second derivative of -r**7/28 + r**6/72 + r**5/6 + 5*r**4/24 - r**3 - 13*r. Let k(h) be the second derivative of o(h). Factor k(w).
-5*(w - 1)*(2*w + 1)*(3*w + 1)
Let o(y) be the first derivative of -y**5 + 5*y**4/2 + 35*y**3/3 - 20*y**2 - 60*y - 8. Solve o(b) = 0 for b.
-2, -1, 2, 3
Suppose -32 + 32 = 6*l. Let q(m) be the third derivative of 1/420*m**5 + 0 + l*m**3 + 0*m - 3*m**2 - 1/490*m**7 - 1/210*m**6 + 1/84*m**4. Factor q(y).
-y*(y + 1)**2*(3*y - 2)/7
Let x(k) be the third derivative of -k**7/140 - 3*k**6/20 - 11*k**5/20 + 21*k**4/4 - 49*k**3/4 - 86*k**2. Suppose x(s) = 0. Calculate s.
-7, 1
Let f = -10138 - -10138. Factor f*h**2 + 0 + 0*h - 3/4*h**4 + 3/2*h**3 - 3/4*h**5.
-3*h**3*(h - 1)*(h + 2)/4
Factor -7*a**4 - a**2 + 11*a**4 + 0*a**4 + 5*a**2 - 8*a**4.
-4*a**2*(a - 1)*(a + 1)
Let c = 6 + -5. Let z(d) = 0 - 2 + c. Let f(j) = 3*