7*o = 176*o + 22, 2*o = 5*y + 18. Factor 48*m + 6*m**3 + 64/3 + 97/3*m**y + 1/3*m**4.
(m + 1)**2*(m + 8)**2/3
Let b(r) be the second derivative of -96*r**2 - 7/3*r**4 + 3/4*r**5 + 0 + 1/84*r**7 + 11/60*r**6 - 88/3*r**3 + 180*r. Factor b(c).
(c - 3)*(c + 2)*(c + 4)**3/2
Let k(g) be the second derivative of -54880*g**2 - 60760/3*g**3 - 2*g - 1/6*g**6 - 88 - 1015*g**4 - 85/4*g**5. Factor k(x).
-5*(x + 1)*(x + 28)**3
Let b(g) be the second derivative of -g**4/72 - 7*g**3/3 + 88*g**2/3 - 1569*g - 3. Factor b(c).
-(c - 4)*(c + 88)/6
Factor -118/5*b - 69 - 1/5*b**2.
-(b + 3)*(b + 115)/5
Let u(d) = 6*d - 322. Let f be -6 + 6 + (-15)/3 + 59. Let k be u(f). Suppose 12/5 + 3/5*o**k - 12/5*o = 0. Calculate o.
2
Suppose 31*b - 17 = 36*b - k, -5*b - 8 = -4*k. Let u be 5/((b/8)/(-1)*2). Find j, given that -j**3 + 1/2*j**4 + 1/2*j**u + 1/2*j - j**2 + 1/2 = 0.
-1, 1
Let u(f) = f**3 - 7*f**2 + 4*f - 26. Let j be u(7). Let 10*w - 89*w**2 + 91*w**2 + j + 10 = 0. Calculate w.
-3, -2
Let r(c) = c**3 + c**2 + 2*c + 2. Let d(y) = -3*y**3 + 103*y**2 - 106. Let o(m) = -2*d(m) - 2*r(m). Solve o(f) = 0 for f.
-1, 1, 52
Let a be ((-8)/(-7))/((-6)/(-21)). Suppose -a*q = -140 + 132. Factor -8*d**3 - d**3 + 131*d**q + 3*d**4 - 3*d - 122*d**2.
3*d*(d - 1)**3
Factor 906/5*j + 14/5*j**2 - 52.
2*(j + 65)*(7*j - 2)/5
Let n = -1436 - -1437. Let k(o) be the first derivative of -1/2*o**2 + 0*o + 0*o**4 + 1/2*o**3 - 1/10*o**5 + n. Find l, given that k(l) = 0.
-2, 0, 1
Let j = 3113/7690 - 37/7690. Let 2/15*s**3 + j*s**2 - 2/15*s - 2/5 = 0. What is s?
-3, -1, 1
Determine j, given that 210*j**2 + 4*j**3 - 849*j**2 + 1352*j - 717*j**2 - 6*j**3 + 6*j**3 = 0.
0, 1, 338
Let h(s) be the second derivative of -19*s**6/6 + 193*s**5/20 - 101*s**4/12 + s**3/2 + 46*s - 2. Let h(j) = 0. Calculate j.
0, 3/95, 1
Suppose 8*k - 678 = 682. Factor m**3 - 3*m**3 - 12*m**4 - 170*m + 2*m**5 + k*m + 12*m**2.
2*m**2*(m - 6)*(m - 1)*(m + 1)
Let v(a) = -7*a**2 - 2*a - 1. Let m be v(-2). Let z = m + 27. Factor -2*q**z + 9*q**2 + 2*q**2 + 3*q**3.
3*q**2*(q + 3)
Let o = -38 - -41. Let a(c) = -2*c**2 + 869*c - 3444. Let b be a(4). Factor b + 3/4*h**2 + 1/2*h**o - 5/4*h**4 + 0*h.
-h**2*(h - 1)*(5*h + 3)/4
Let z(p) = 12*p**4 - 3872*p**3 - 12*p**2 + 11532*p - 7680. Let d(f) = 2*f**4 - 8*f**3 + f. Let r(q) = 4*d(q) - z(q). Suppose r(a) = 0. What is a?
-2, 1, 960
Suppose -5*j - a + 0*a = 8, -3*j = 3*a. Let n be (18/96*j)/(9/(-6)). Let 0 - n*q**5 + 0*q**3 + 0*q + 3/4*q**4 - q**2 = 0. What is q?
-1, 0, 2
Let k = 3371/2 - 70783/42. Let d(w) be the first derivative of -10 - 64/7*w - k*w**3 + 16/7*w**2. Factor d(f).
-4*(f - 4)**2/7
Let s(l) be the second derivative of 7*l**6/30 - 5647*l**5/20 + 189207*l**4/2 + 733664*l**3/3 + 163216*l**2 - 2*l - 8565. Factor s(d).
(d - 404)**2*(d + 1)*(7*d + 2)
Find r such that 2/9*r**2 + 338/9 - 340/9*r = 0.
1, 169
Suppose 47*g + g - 1632 = 0. Let b(l) = -24*l + 819. Let k be b(g). Find p, given that 14/9*p**2 + 0 - 2/9*p - 32/9*p**4 - 16/9*p**k = 0.
-1, 0, 1/4
Suppose 2*u + 55 = 4*f - 53, -3*u + 20 = f. Let s(x) be the first derivative of -f + 2/3*x**3 + 6*x**2 + 10*x. Find w such that s(w) = 0.
-5, -1
Let n(c) be the third derivative of 1/180*c**5 - 1/9*c**4 + 82*c**2 + 0*c + 7/18*c**3 + 0. Let n(q) = 0. What is q?
1, 7
Let k(d) = d**3 + 7*d**2 + 4. Let p = -57 - -81. Let t(r) = -p - 21 + 42 - 6*r**2. Let g(c) = 3*k(c) + 4*t(c). Find q such that g(q) = 0.
0, 1
Let w be -5 + (-92)/(-16) - (-39)/12. Suppose -y + 5*q + 21 = -0*q, 15 = 4*y + 3*q. Factor -30*j**2 + 61*j**2 + w - y*j - 30*j**2 + 4.
(j - 4)*(j - 2)
Let r(u) be the first derivative of 3*u**5/5 + 21*u**4 + 53*u**3 + 39*u**2 + 417. Solve r(w) = 0 for w.
-26, -1, 0
Suppose -38*a + 11*a + 87 - 6 = 0. Let u(i) be the first derivative of -8 - i**2 + 1/3*i**3 - a*i. Suppose u(y) = 0. Calculate y.
-1, 3
Let z(o) be the third derivative of -o**7/42 + 11*o**6/24 - 3*o**5/4 - 55*o**4/24 + 25*o**3/3 + 4*o**2 - 37. Factor z(u).
-5*(u - 10)*(u - 1)**2*(u + 1)
Let t(h) be the first derivative of 27*h**5/7 + 3*h**4 - 41*h**3/7 - 6*h**2 - 12*h/7 - 1850. Suppose t(s) = 0. Calculate s.
-1, -2/5, -2/9, 1
Let v be (234/(-7))/(-3) - (-8316)/(-924). Let t be (-4)/(-18) - (-416)/234. Let -v*p**t - 48/7*p + 3*p**3 - 12/7 = 0. Calculate p.
-1, -2/7, 2
Suppose 27 = 5*x + 2*v, 7*x + v = 9*x - 9. Suppose -2*d + x*f + 32 = 0, -f - 12 = -4*d - 4*f. Factor -d - 2/3*q**2 - 4*q.
-2*(q + 3)**2/3
Find b, given that 161 - 161/4*b**2 - 1/4*b**3 + b = 0.
-161, -2, 2
Let x be 11647/(-17214) + (-2)/(-3). Let j = 1199/906 - x. Factor 2/3*r**3 + 0 + j*r**2 + 0*r.
2*r**2*(r + 2)/3
Suppose -z + 14 = v + 12, 5*v + 2*z - 10 = 0. Factor 12/7*b - 4/7 + 1/7*b**v - 3/7*b**3.
-(b - 2)*(b + 2)*(3*b - 1)/7
Let n = 75292 - 1279962/17. Factor -1350/17*a + 6750/17 + 90/17*a**2 - n*a**3.
-2*(a - 15)**3/17
Let g be ((-33)/(-63))/((-20)/(-344)) - 9. Let n(f) be the second derivative of 0 + 4/7*f**3 - 2/35*f**5 - 9*f + 1/21*f**4 - g*f**6 - 9/7*f**2. Factor n(d).
-2*(d - 1)**2*(d + 3)**2/7
Determine y, given that y**3 - 8*y**3 - 16*y**3 + 20*y**3 - 3*y**3 - 152*y**2 - 446*y - 132 = 0.
-22, -3, -1/3
Let n(o) be the third derivative of o**7/2016 - 91*o**6/576 + 329*o**4/24 - 61*o**2. Let c(k) be the second derivative of n(k). Find p such that c(p) = 0.
0, 91
Let w = 80 + -37. Factor -6*b**2 + 160 + b**2 + w*b + 46*b - 2*b - 17*b.
-5*(b - 16)*(b + 2)
Let t(k) be the third derivative of k**7/5670 - 2*k**6/405 + k**5/18 - 161*k**4/24 + 30*k**2 + 4*k. Let v(m) be the second derivative of t(m). Factor v(y).
4*(y - 5)*(y - 3)/9
Factor 1260 - 51*n**2 + 39*n + 34*n**2 + 113*n + 13*n**2.
-4*(n - 45)*(n + 7)
Let p(c) be the first derivative of 3*c**3 + 3/4*c**4 - 12*c + 151 + 0*c**2. Factor p(j).
3*(j - 1)*(j + 2)**2
Let k(d) be the first derivative of 3*d**5/10 + d**4/4 - 37*d**3/6 + 3*d**2 - 3963. Determine r so that k(r) = 0.
-4, 0, 1/3, 3
Let p = 11660326/78627757 + 258/150917. Let m = 2/521 + p. Determine s, given that -16/13*s**2 + 14/13*s**3 - 32/13*s + 0 - m*s**4 = 0.
-1, 0, 4
Let k(x) be the second derivative of 125/2*x**2 + 1/20*x**5 + 5/4*x**4 - 36 + 25/2*x**3 - 2*x. Determine i so that k(i) = 0.
-5
Let c(r) = -46*r**3 + 39*r**2 + 1840*r + 11207. Let i(n) = 66*n**3 - 58*n**2 - 2760*n - 16810. Let f(o) = 10*c(o) + 7*i(o). Factor f(g).
2*(g - 28)*(g + 10)**2
Let l(h) be the first derivative of -h**6/10 + 507*h**5/25 - 22167*h**4/20 + 20999*h**3/5 - 20667*h**2/5 - 3610. Determine r so that l(r) = 0.
0, 1, 2, 83
Let p be -4 + 3 + 42/70*95/21. Let f(g) be the first derivative of 1 + 3*g**3 + p*g - 24/7*g**2 - 27/28*g**4. Determine u, given that f(u) = 0.
2/3, 1
Let f(d) = -d**3 - 19*d**2 + 19*d - 15. Let t be f(-20). Factor 1196*x - 80*x**3 + 0 - 14*x**4 + 98*x**t - 1196*x + 32*x**2 + 0.
2*x**2*(x + 1)*(7*x - 4)**2
Find d such that 153616 + 118706 + 7391067*d**2 + 7392564*d**3 + 54*d**5 + 22469*d**4 - 25087*d**2 + 17437*d**4 + 2452374*d = 0.
-369, -1/3
Let j(c) be the third derivative of -5/6*c**4 - 1/30*c**5 - 112*c**2 - 3*c**3 + 0*c + 0. Suppose j(g) = 0. What is g?
-9, -1
Let i(m) be the third derivative of 0 + 1/4*m**3 + 2*m**2 + 1/16*m**4 - 3/160*m**5 - 1/80*m**6 - 32*m - 1/560*m**7. Suppose i(y) = 0. What is y?
-2, -1, 1
Let n(b) = -4*b**3 - 220*b**2 - 508*b - 272. Let j = 140 + -120. Let p(f) = -f**3 - 74*f**2 - 169*f - 90. Let z(s) = j*p(s) - 6*n(s). Factor z(d).
4*(d - 42)*(d + 1)**2
Suppose -1/7*v**2 + 2/7*v + 0 - 1/7*v**3 = 0. What is v?
-2, 0, 1
Let a(t) = t**3 - 39*t**2 - 551*t - 11. Let x be a(-11). Let f(k) be the first derivative of 0*k + 1/22*k**4 + x*k**2 + 10/33*k**3 + 8. Factor f(l).
2*l**2*(l + 5)/11
Let a(i) be the third derivative of -i**5/60 + 17*i**4/24 + 19*i**3/3 - 36*i**2 - 5*i. Determine d, given that a(d) = 0.
-2, 19
Let p(b) be the third derivative of b**6/300 - 37*b**5/150 + 9*b**4/4 - 33*b**3/5 - 216*b**2 + b. Factor p(z).
2*(z - 33)*(z - 3)*(z - 1)/5
Find r, given that -38/5*r**2 - 2/5*r**3 - 184/5 + 176/5*r = 0.
-23, 2
Let g(f) be the second derivative of 0*f**2 - 7 - f + 0*f**4 + 1/135*f**6 - 2/45*f**5 + 0*f**3. Find u, given that g(u) = 0.
0, 4
Let c(u) be the third derivative of -u**6/60 - 9*u**5/10 - 65*u**4/4 - 169*u**3/3 - 974*u**2. Factor c(h).
-2*(h + 1)*(h + 13)**2
Determine y, given that -78/7 - 25*y - 13/7*y**2 = 0.
-13, -6/13
Let z(o) = 3*o**2 +