*3 + 0*j**2 + 0*j.
-2*j**3*(j + 1)/9
Let o(g) be the second derivative of 1/3*g**4 + 0*g**2 - 28*g - 4/3*g**3 + 1/5*g**5 + 0. Solve o(h) = 0.
-2, 0, 1
Let u(a) be the second derivative of a**5/4 - 275*a**4/4 + 5740*a**3 - 16810*a**2 - 16*a - 9. Let u(x) = 0. What is x?
1, 82
Factor 8*p**2 + 60*p + 20 - 4*p**2 + 108*p - 20.
4*p*(p + 42)
Suppose 469 = 3*f + 115. Let a = -38 + f. What is q in a*q + 25 - 10*q**2 - 180*q**3 - 23*q**2 + 108*q**5 - 7*q**2 + 7 = 0?
-2/3, 1
Let d(r) be the second derivative of 8/7*r**2 - 2/21*r**3 + 0 + 4/35*r**5 + 1/35*r**6 + 32*r - 17/42*r**4. Find g such that d(g) = 0.
-4, -2/3, 1
Let b(c) = -c**4 + 27*c**3 - 296*c**2 + 475*c - 220. Let r(d) = -d**3 - 2*d**2 - d + 1. Let k(m) = -b(m) + 5*r(m). Factor k(y).
(y - 15)**2*(y - 1)**2
Let q(z) be the second derivative of -6*z + 3*z**2 + 0 + z**4 - 9/2*z**3. What is n in q(n) = 0?
1/4, 2
Suppose 2*l + 9 = 17. Suppose 0 = -l*b - 7 + 19. Factor -3/8*n**4 - 9/4*n**2 - 3/8 + 3/2*n + 3/2*n**b.
-3*(n - 1)**4/8
Let c(r) be the second derivative of 2*r + 0 + 0*r**2 + 1/105*r**6 + 5/42*r**4 + 2/21*r**3 + 2/35*r**5. Factor c(b).
2*b*(b + 1)**2*(b + 2)/7
Let u(g) = -6*g**2 + 8*g - 2. Let y(h) = -h**3 - h**2 + h + 1. Let o(l) = -5*u(l) + 5*y(l). Factor o(f).
-5*(f - 3)*(f - 1)**2
Factor 0 + 7/2*x**2 + 1/4*x.
x*(14*x + 1)/4
Solve 288/13 - 240/13*r - 46/13*r**2 - 2/13*r**3 = 0 for r.
-12, 1
Let r be ((-2)/(-35))/((69/1620)/23). Factor r*q + 2/7*q**3 - 36/7*q**2 - 432/7.
2*(q - 6)**3/7
Let p = 79/76 + -11/38. Factor -3/2*s**2 + 3/4*s**4 + 0 - p*s**3 + 0*s.
3*s**2*(s - 2)*(s + 1)/4
Let b(q) = -3*q**2 - 59*q - 34. Let s be b(-19). Let o(n) be the first derivative of -7/4*n**s - 4 - 3/2*n**2 + 2*n - 4*n**3. Find f such that o(f) = 0.
-1, 2/7
Suppose 0*z = 4*z - 5*w - 2, -4*w - 4 = -4*z. Factor 84*t**4 - 169*t**4 + 86*t**4 - t + t**z - t**2.
t*(t - 1)*(t + 1)**2
Let -128*s + 3*s**4 - 4*s**2 + 18*s**3 + 31*s**2 + 140*s = 0. What is s?
-4, -1, 0
Let i(b) be the third derivative of 0*b**4 + 0 + 0*b + 6*b**2 + 1/135*b**5 - 2/27*b**3. Factor i(j).
4*(j - 1)*(j + 1)/9
Suppose 1079*u - 1078*u - 6 = 0. Let p(c) be the third derivative of 1/36*c**6 + u*c**2 + 17/90*c**5 + 0*c + 0 + 4/9*c**4 + 4/9*c**3. Let p(s) = 0. What is s?
-2, -1, -2/5
Let d be (-2 - -2*1)/((-201)/67). Solve d + 1/2*b - 1/4*b**2 = 0 for b.
0, 2
Let i(v) be the first derivative of -3*v**5/5 + 33*v**4/16 - 5*v**3/4 - 3*v**2/4 + 99. Find k, given that i(k) = 0.
-1/4, 0, 1, 2
Factor 0 - 126/5*s**3 - 18/5*s + 111/5*s**2.
-3*s*(3*s - 2)*(14*s - 3)/5
Let l(q) = q**2 + 2*q - 14. Let t be l(7). Let v = 52 - t. Factor 8/15*u**2 + 2/15*u**v + 4/15 + 2/3*u.
2*(u + 1)**2*(u + 2)/15
Let w(z) be the first derivative of z**6/120 - z**5/40 - z**4/16 + z**3/6 + z**2/2 - 25*z - 5. Let i(x) be the first derivative of w(x). Factor i(v).
(v - 2)**2*(v + 1)**2/4
Let a be ((-703)/57)/(2/(-18)). Let y be (2 + -3 - 2) + a/21. Solve -24/7*m + 12/7*m**2 + y - 2/7*m**3 = 0.
2
Let a be (39 - 35)/(-7*1/(-2)). Let u = 12 + -12. Find m, given that u - 8/7*m + a*m**2 - 2/7*m**3 = 0.
0, 2
Let f be (-3)/2*2/(-12). Let w = -9550 - -9553. Factor -1/2*d - f*d**2 + 1/4*d**w + 0.
d*(d - 2)*(d + 1)/4
Let a = 15/196 - -1/147. Let w(f) be the third derivative of -1/10*f**5 - f**2 - 1/30*f**6 + 0*f**3 - a*f**4 + 0 + 0*f. Factor w(u).
-2*u*(u + 1)*(2*u + 1)
Let m(g) be the third derivative of g**7/1890 - g**6/360 - g**5/30 - g**4/54 + 4*g**3/9 - 4*g**2 - 20. Factor m(q).
(q - 6)*(q - 1)*(q + 2)**2/9
Let g(v) be the second derivative of v**7/168 + v**6/60 - 9*v**5/80 - v**4/24 + v**3/3 + 34*v. Let g(o) = 0. What is o?
-4, -1, 0, 1, 2
Let x be 35 + -24 + 49/(-13 + 6). Determine i so that -12/11*i + 6/11*i**5 + 0 + 6/11*i**3 - 18/11*i**2 + 18/11*i**x = 0.
-2, -1, 0, 1
Let o = -3/8 + 23/40. Let u be 40/(-30)*(-6)/4. Factor 0*g - 1/5*g**4 + 2/5*g**u - o + 0*g**3.
-(g - 1)**2*(g + 1)**2/5
Let p be ((-45)/(-30))/(6/16). Suppose 0 = z + p*d - 10, 6*d - 4*d = 4. Let -18*i**2 + 32*i**z - 2*i**3 - 1 - 20*i**2 - 6*i - 1 = 0. What is i?
-1
Let d(g) be the third derivative of g**6/40 - g**5/5 + g**4/8 + 3*g**3 - 82*g**2. Find t, given that d(t) = 0.
-1, 2, 3
Let q(w) = -5*w**2 - 34*w + 45. Let x(j) = j. Let z(c) = -q(c) + 6*x(c). Determine h, given that z(h) = 0.
-9, 1
Let d(g) be the first derivative of -g**7/672 + g**5/96 - 16*g**3/3 + 19. Let t(m) be the third derivative of d(m). Factor t(f).
-5*f*(f - 1)*(f + 1)/4
Suppose -2*w = 7*w + 828. Let b be -2 + w/(-10) + -4 + 0. Determine s, given that -s**2 + 9/5*s**4 + b*s - 4/5 + 9/5*s**5 - 5*s**3 = 0.
-2, -1, 1/3, 2/3, 1
Let a = -221/42 - -38/7. Let d = -386/7 + 2323/42. Find j such that d*j + a*j**2 + 0 = 0.
-1, 0
Let t be 3/((-162)/6)*12/(-10). Find q, given that -4/15 - t*q + 2/15*q**2 = 0.
-1, 2
Let h = -2610 + 13104/5. Suppose -2/5 - 6/5*c + 14/5*c**2 + 36/5*c**4 + h*c**3 = 0. What is c?
-1, -1/2, -1/3, 1/3
Factor 19/7*w - 8/7*w**2 - 12/7 + 1/7*w**3.
(w - 4)*(w - 3)*(w - 1)/7
Suppose -13*i**2 + 11*i**3 - 6*i**3 + 6 + 14*i**4 - i - 11*i**4 = 0. Calculate i.
-3, -2/3, 1
Let y be (-4)/10 - (12/48)/(30/(-48)). Determine o, given that 2/13*o**2 + 0*o + 2/13*o**3 + y = 0.
-1, 0
Factor -a**4 - 4*a**4 + 5500*a**2 - 5495*a**2.
-5*a**2*(a - 1)*(a + 1)
Let w(m) be the third derivative of -m**8/336 + m**7/70 + 11*m**6/120 - m**5/20 - 5*m**4/12 - 3*m**2 + 11. Suppose w(l) = 0. Calculate l.
-2, -1, 0, 1, 5
Let y be (-5 - (-48)/9)*(-1 - -1). Let l = -1/124 + 259/1364. Factor l*t**4 + 4/11*t - 6/11*t**2 + 0 + y*t**3.
2*t*(t - 1)**2*(t + 2)/11
Suppose 45 = -25*t + 34*t. What is f in 0 + 9 + 89*f**2 - 74*f**2 - t*f + 3*f**3 + 26*f = 0?
-3, -1
Let q(h) be the first derivative of -2*h**5/25 + h**4/5 + 2*h**3/15 - 2*h**2/5 - 73. Solve q(t) = 0.
-1, 0, 1, 2
Let n(i) be the second derivative of -i**6/1260 + i**5/70 - 2*i**4/21 - i**3/3 - 11*i**2/2 + 47*i. Let f(o) be the second derivative of n(o). Factor f(k).
-2*(k - 4)*(k - 2)/7
Let t(d) be the third derivative of 1/224*d**8 + 0*d - 1/140*d**7 + 11*d**2 + 1/40*d**5 + 0*d**4 + 0 + 0*d**3 - 1/80*d**6. Let t(f) = 0. Calculate f.
-1, 0, 1
Let f(x) be the second derivative of x**7/10080 - x**5/480 - 7*x**4/12 + 5*x. Let i(v) be the third derivative of f(v). Factor i(z).
(z - 1)*(z + 1)/4
Let n be -4*(-2)/(0 - -4). Suppose 5*o = 5*y - 10, -n*y + 3*y = -o + 2. Factor -2/5 + 11/5*w**y + w + 4/5*w**3.
(w + 1)*(w + 2)*(4*w - 1)/5
Let r(i) be the second derivative of -2*i**4/3 - 17*i**3/15 + 3*i**2/5 - 10*i + 4. Factor r(g).
-2*(g + 1)*(20*g - 3)/5
Let l(a) be the first derivative of 3*a**4/8 - 53*a**3/6 - 20*a**2 + 38*a + 351. Determine q, given that l(q) = 0.
-2, 2/3, 19
Suppose j + 2*j + 23*j + 22*j = 0. Factor -2/5*u**3 + 0*u**2 + 0 + j*u.
-2*u**3/5
Let h(q) be the first derivative of 2 - 11*q - 2/25*q**5 - 11/15*q**3 + 2/5*q**2 + 13/30*q**4. Let y(f) be the first derivative of h(f). What is x in y(x) = 0?
1/4, 1, 2
Suppose 53*c - 19*c - 13*c - 37*c**2 + c**4 - 36 + 47*c + 4*c**3 = 0. What is c?
-9, 1, 2
Let p(r) = r**5 - r**4 + r**3 - r - 1. Suppose -2 + 7 = -5*v. Let d(k) = 9*k**5 - 12*k**4 + 9*k**3 - 6*k - 6. Let z(x) = v*d(x) + 6*p(x). Factor z(a).
-3*a**3*(a - 1)**2
Let c(d) be the second derivative of 5*d**4/9 + 476*d**3/9 - 64*d**2 + 69*d. Suppose c(g) = 0. What is g?
-48, 2/5
Let s be 5 + 186/45 + (-3 - (-48)/15). Determine n, given that -7/6*n**4 + 1/3*n**3 + 49/6*n**2 + 2 - s*n = 0.
-3, 2/7, 1, 2
Let p(c) = -96*c. Let w(z) = -z**2 - 2*z. Let r(g) = p(g) - 2*w(g). Factor r(n).
2*n*(n - 46)
Let s(c) = -15*c**2 - 10*c + 15. Let w(o) = o**3 - 16*o**2 - 9*o + 16. Let i(r) = -4*s(r) + 5*w(r). Suppose i(u) = 0. What is u?
-1, 1, 4
Let f be (-3 - 8) + (-185)/(-15). Factor -8/3*g**3 + 0 + 0*g**2 + 4/3*g + f*g**5 + 0*g**4.
4*g*(g - 1)**2*(g + 1)**2/3
Let i(v) = -v**2 + 0 + 1 + 1 - 5 - 7*v. Let c(l) = 4*l**2 + 29*l + 12. Let t(f) = 6*c(f) + 26*i(f). Factor t(b).
-2*(b + 1)*(b + 3)
Let w(i) be the first derivative of 12*i - 9/5*i**5 - 1/2*i**6 + 18*i**2 - 1 + 3/4*i**4 + 11*i**3. Factor w(l).
-3*(l - 2)*(l + 1)**3*(l + 2)
Let l(q) = -q**2 + q. Let u(j) = -4*j**2 + 6*j. Suppose -w + 40 = 4*m, 2*w + 2 + 28 = 3*m. Suppose -2*c = -0 + m. Let r(s) = c*l(s) + u(s). Factor r(d).
d*(d + 1)
Let t be (-6)/(-18) + (-73)/3. Let x = t - -29. Factor -p**5 - 3*p**2 + 4*p**x + 0*p**5 + 3*p**4 - 3*p**3.
3*p**2*(p - 1)*(p + 1)