1/9, 0
Let z(j) = j**3 + 16*j**2 + 29*j + 24. Let i be z(-14). Let d(n) be the first derivative of -1/24*n**3 + 0*n**2 - i + 1/8*n. What is m in d(m) = 0?
-1, 1
Determine y, given that 0 - 51/5*y**2 - 27/5*y**3 - 5*y - 1/5*y**4 = 0.
-25, -1, 0
Suppose 0 = -g + m - 2*m - 15, 0 = 5*m - 15. Let a(k) = 4*k**2 - 33*k + 45. Let i(n) = 5 + 6 - 7*n - n + n**2. Let t(u) = g*i(u) + 4*a(u). Factor t(h).
-2*(h - 3)**2
Let b(v) = v + 11. Let z be b(-10). Let x be 5 - (z - 0)*3. Find w such that -45*w**4 + 8*w + 3*w**2 - 50*w**5 + 42*w**3 + 5*w**4 + 37*w**x = 0.
-1, -2/5, 0, 1
Let d = 246 - 243. Factor -53*f**4 - 48*f**4 - 5*f**5 + 36*f**4 - 60*f**d.
-5*f**3*(f + 1)*(f + 12)
Let d be 4/32 + (-217)/(-56). Factor -537*n - 286*n + 27846*n**3 - 13213*n**2 + 355*n - 14161*n**d - 4.
-(n - 1)**2*(119*n + 2)**2
Let p(h) be the second derivative of -1 + 4*h + 0*h**2 + 0*h**3 - 55/24*h**4 - 1/8*h**5. Factor p(v).
-5*v**2*(v + 11)/2
Let x(s) = 0*s - 3*s - 6*s + 6*s + 10. Let f be x(-2). Factor 2*t**2 - 3*t + 5*t - 3*t - 3*t - f.
2*(t - 4)*(t + 2)
Let t = 36452 - 36447. Let i(x) be the second derivative of 0 - 9/20*x**t + 0*x**3 + 0*x**2 + 42*x + 1/6*x**4 + 2/15*x**6. Factor i(z).
z**2*(z - 2)*(4*z - 1)
Let k(q) be the second derivative of q**7/10 + 3*q**6/20 - 2*q**5/5 - 3*q**4/4 + q**3/2 - 14*q**2 - 13*q. Let h(m) be the first derivative of k(m). Factor h(i).
3*(i - 1)*(i + 1)**2*(7*i - 1)
Let f be 14*((-276)/420)/23*5/(-6). Factor 8/3*k - f*k**2 + 3.
-(k - 9)*(k + 1)/3
Let g(i) = -3*i**4 - i**2 + i + 1. Let r(p) = 8*p**4 + 4*p**3 + 16*p**2 - 8*p - 12. Let k(a) = -4*g(a) - r(a). Solve k(b) = 0.
-1, 1, 2
Let n(y) = 89*y**2 - 88*y + 319. Let k(j) = 157*j**2 - 174*j + 637. Let i(c) = -4*k(c) + 7*n(c). Factor i(r).
-5*(r - 9)*(r - 7)
Let w(f) be the third derivative of -f**6/600 - 353*f**5/100 - 124609*f**4/40 - 43986977*f**3/30 - 95*f**2. Factor w(y).
-(y + 353)**3/5
Suppose 2*z - 28 = -0*c + 4*c, -12*z + 3*c = -42. Let a(m) be the first derivative of -6*m - 1/2*m**3 - 15/4*m**z - 5. Factor a(j).
-3*(j + 1)*(j + 4)/2
Factor 4/3*r - 1/6*r**4 - 17/6*r**2 + 0 + 5/3*r**3.
-r*(r - 8)*(r - 1)**2/6
Let a(z) = 13*z**3 - 1125*z**2 + 12*z + 8. Let o(m) = -16*m**3 + 1124*m**2 - 15*m - 10. Let p(t) = -5*a(t) - 4*o(t). Suppose p(v) = 0. Calculate v.
0, 1129
Suppose -5*d = 5*j + 580, 10*j + 20 = 15*j. Let t be 94/(-470) - 3/(d/13). Factor 0*f**3 + 1/8*f**5 + 1/4*f**4 + 0 - t*f - 1/4*f**2.
f*(f - 1)*(f + 1)**3/8
Let y(w) = -360*w**3 + 26328*w**2 - 54659*w + 6851. Let c(j) = 60*j**3 - 4388*j**2 + 9110*j - 1142. Let i(u) = 35*c(u) + 6*y(u). Solve i(s) = 0.
2/15, 2, 71
Factor 3 + 41/2*v**2 + 47/2*v.
(v + 1)*(41*v + 6)/2
Suppose 26 = -12*o + 50. Factor -9*g + 2*g**o - 16 - 14 + 2*g + 11*g.
2*(g - 3)*(g + 5)
Let p(d) = -5*d**2 - 120*d + 308. Let j(v) = -15*v**2 - 360*v + 916. Let f(b) = 6*j(b) - 17*p(b). Factor f(s).
-5*(s - 2)*(s + 26)
Let j be (17/(-3) - -3)*-3. Suppose -j*m + 57 = -23. Suppose -m + 4*f**2 + 5*f - 6 - 14*f - 3*f = 0. Calculate f.
-1, 4
Let o(u) = -6*u - 2. Let d(m) = m**2 + 171*m - 374. Let w(i) = d(i) - 2*o(i). Suppose w(f) = 0. What is f?
-185, 2
Let y(n) be the first derivative of n**6/500 - 7*n**5/750 + 4*n**3/75 + 49*n**2/2 + 31. Let b(h) be the second derivative of y(h). Factor b(g).
2*(g - 2)*(g - 1)*(3*g + 2)/25
Let c(b) be the second derivative of -b**4/90 - 9*b**3/5 + 82*b**2/15 + 520*b. Factor c(a).
-2*(a - 1)*(a + 82)/15
Suppose -q - 14*t + 11*t = -18, 5*t = -4*q + 37. Let g = -12/17 - -70/51. Factor 6 + g*h**4 - 16*h - 16/3*h**q + 44/3*h**2.
2*(h - 3)**2*(h - 1)**2/3
Suppose 0 = -3*n - 5*y + 1, -5*n + 3*y = 4 - 17. Factor 5*q**2 - 4 - 5*q**n + 4*q - q**2.
-(q - 2)**2
Determine f, given that -95*f**2 + 102*f**2 - 4*f**4 - 40*f - 3*f**2 + 40*f**3 + 0*f**2 = 0.
-1, 0, 1, 10
Find h such that 4623*h - 2068*h**2 + 92*h - 2 - 1669*h**2 - 983*h**2 + 7 = 0.
-1/944, 1
Let k(o) = o**4 - o**3 - 3*o**2 - 1. Let v(d) = 8*d**4 - 84*d**3 - 304*d**2 - 334*d - 142. Let t(b) = 20*k(b) - 2*v(b). Solve t(r) = 0.
-33, -2, -1
Let j(g) be the third derivative of -5*g**5/12 + 45*g**4/4 - 100*g**3/3 + 24*g**2 + 3. Factor j(u).
-5*(u - 10)*(5*u - 4)
Factor -660/7 + 324/7*y + 333/7*y**2 + 3/7*y**3.
3*(y - 1)*(y + 2)*(y + 110)/7
Let u be (104 - 96 - (-123)/9) + -11. Factor 2/3*m**2 + u - 20/3*m.
2*(m - 8)*(m - 2)/3
Determine t so that -6554/7*t + 2/7*t**3 - 119422/7 - 26/7*t**2 = 0.
-29, 71
Suppose 4*w - 2*n + 20 = 0, 3*n - 38 = 182*w - 180*w. Factor -12*h**w + 0 + 66/5*h - 6/5*h**3.
-6*h*(h - 1)*(h + 11)/5
Solve 200*l**5 + 924*l**2 + 5449/2*l**3 + 72*l + 0 - 1540*l**4 = 0.
-3/20, 0, 4
Let t(r) be the second derivative of -27*r - 2/25*r**5 - 13/30*r**4 - 1 + 9/5*r**2 + 0*r**3. Determine l, given that t(l) = 0.
-3, -1, 3/4
Let a(l) be the third derivative of 17*l**2 + 1 - 1/300*l**5 + 1/60*l**4 - 1/30*l**3 + 0*l. Factor a(u).
-(u - 1)**2/5
Let s(i) be the first derivative of 4*i**3 + 778*i**2 - 1568*i - 4393. Solve s(r) = 0 for r.
-392/3, 1
Let y(h) be the third derivative of h**5/240 + 37*h**4/96 + 3*h**3/2 + 214*h**2. Factor y(o).
(o + 1)*(o + 36)/4
Determine n, given that 2/5*n**2 + 183/5*n + 36 - 1/5*n**3 = 0.
-12, -1, 15
Let f(t) be the first derivative of -8*t + 21*t**2 - 33/2*t**4 + 19 + 18/5*t**5 - 34/3*t**3. Solve f(g) = 0.
-1, 1/3, 4
Let p = -11/63592 - -254401/190776. Determine s, given that 0 - 8/3*s - 25/3*s**3 + 26/3*s**2 + p*s**4 + s**5 = 0.
-4, 0, 2/3, 1
Let t(a) = -a**3 + 13*a**2 - 25*a + 35. Let w be t(11). Suppose 2*q = -10, -4*c - 34*q + 32*q + w = 0. Factor 0 - 1/4*j**c + 0*j + 1/4*j**2.
-j**2*(j - 1)/4
Let s(n) be the second derivative of 39*n**2 + 0 - 15/2*n**3 + 1/4*n**4 - 101*n. Determine j so that s(j) = 0.
2, 13
Let s = 34 + -32. Suppose 3*x = s*x + 3. Factor 6*r**3 - 3*r**2 - 20*r**3 + 11*r**x.
-3*r**2*(r + 1)
Factor -78/5*g**3 - 3/5*g**4 + 0*g + 81/5*g**2 + 0.
-3*g**2*(g - 1)*(g + 27)/5
Factor -136 - 7/3*k + 1/3*k**2.
(k - 24)*(k + 17)/3
Let t(i) be the third derivative of 13/60*i**5 - 5/672*i**8 + 0*i + 68 + 1/4*i**4 - 2/3*i**3 - 7/240*i**6 - 3/70*i**7 + i**2. Find m, given that t(m) = 0.
-2, -1, 2/5, 1
Let d(w) be the first derivative of -w**4/4 + 47*w**3/3 + 220*w**2 - 7079. Factor d(y).
-y*(y - 55)*(y + 8)
Suppose 6887*o + 5*l + 92 = 6890*o, -4*o - 160 = 11*l. Factor -4/13*v**o + 0*v - 6/13*v**3 + 2/13*v**5 + 0 + 0*v**2.
2*v**3*(v - 3)*(v + 1)/13
Factor 1/6*a**4 + 8/3 + 20/3*a + 11/2*a**2 + 5/3*a**3.
(a + 1)**2*(a + 4)**2/6
Let f be (16 - -5 - 19)*(-2)/(-6). Solve 1682/3 - 116/3*v + f*v**2 = 0.
29
Let f(j) = -j**3 + 6*j**2 - 9*j + 4. Let d be f(2). Factor 51*h + 5*h**2 + 51 - 2*h**d - 83 - 87 + 5.
3*(h - 2)*(h + 19)
Let v = 45234 - 45231. Factor -1/7*f**4 + 0*f + 0*f**v + 2/7*f**2 - 1/7.
-(f - 1)**2*(f + 1)**2/7
Let u be ((-21)/21)/((-1)/5). Suppose 4*z - u*i + 87 = 126, -3*i = -2*z + 21. Determine g, given that -z*g**2 - 108/5*g + 48/5 = 0.
-4, 2/5
Let i = -16/357 - -437/1785. Let k(u) be the first derivative of -u + 23 - 1/4*u**4 + 1/4*u**2 + 1/12*u**6 - i*u**5 + 2/3*u**3. Let k(d) = 0. What is d?
-1, 1, 2
Let q(t) = t - 14. Let y be q(19). Suppose 5*w - 2*c = 18, 0*w + 3*c + y = 2*w. Solve 4*m - 25*m**3 - 8*m - 14*m**2 - 5*m**w - 2*m**5 - 5*m**4 + 7*m**3 = 0.
-2, -1, 0
Let x(g) = 3*g**3 - g**2 - g + 2. Let k(w) = 19*w**3 - 3*w**2 - 22*w - 36. Let c(p) = k(p) - 6*x(p). Let c(a) = 0. What is a?
-4, -3, 4
Let m(p) be the second derivative of p**6/20 - 19*p**5/6 + 367*p**4/6 - 680*p**3/3 + 400*p**2/3 - 76*p + 2. Suppose m(v) = 0. Calculate v.
2/9, 2, 20
Let v(b) be the first derivative of -b**3/3 + 442*b**2 - 883*b + 10704. Determine n so that v(n) = 0.
1, 883
Let p be ((-2)/7)/((-25)/175). Let j(n) = 0 - n + 7*n**2 + 0 - n**3 - 8*n**p. Let c(s) = -s**3 - 5*s**2. Let t(b) = -c(b) + 2*j(b). Factor t(f).
-f*(f - 2)*(f - 1)
Suppose 0 = 4*l - p - 20, 238*p - 233*p - 40 = -8*l. Factor 0 + 5/2*k**2 - 2*k + 1/2*k**l + 3/2*k**3 - 5/2*k**4.
k*(k - 4)*(k - 1)**2*(k + 1)/2
Let j be (18/96)/(132/1408). Factor -1/6*c**3 + 1/3*c**j + 5/3 + 13/6*c.
-(c - 5)*(c + 1)*(c + 2)/6
Suppose -49 = -4*j - 41. Factor n**2 - 12 + 25*n - j*n**2 - 3*n - 9*n**2.
-2*(n - 1)*(5*n - 6)
Suppose 5*r + 2*o = 10, -5*r = -o + 3 + 2. Let h be r/(-10) - 5/(-10). What is y in 0*y + h*y**2 + 0*y**3 - 1/2*y**4 + 0 = 0?
-1, 0, 1
Let m(s) = 27*s**2 + 279*s - 152. Let a(v) = -2*v**2 - 8*v - 1. Le