1/8*a**4 - 1/6*a**3 + 0. Factor o(z).
-(z + 1)**4/4
Let f be (291/12 + 1368/(-57))/(5/12). Let w = -1 - -5. What is z in -1/5*z**w + f*z**3 + 0 - 2/5*z**2 + 0*z = 0?
0, 1, 2
Let h(i) be the second derivative of -29*i**4/6 - 38*i**3/3 - 133*i. Factor h(d).
-2*d*(29*d + 38)
Let j(s) be the third derivative of -s**6/40 + 33*s**5/20 - 36*s**4 + 128*s**3 + 187*s**2 - 3. Find y, given that j(y) = 0.
1, 16
Find d, given that -3/2*d + 3/2*d**3 + 255/2 - 255/2*d**2 = 0.
-1, 1, 85
Let z(g) = 4*g + 8. Suppose -2*d - 3*f = -0 - 1, 2*d + 5*f - 3 = 0. Let s be z(d). Factor -s*c**5 + 6*c**2 - 6*c**4 - 47*c + 7*c**5 + 44*c.
3*c*(c - 1)**3*(c + 1)
What is a in 80/3*a + 0 + 2/3*a**4 - 14*a**3 + 12*a**2 = 0?
-1, 0, 2, 20
Let a = 2400172/5 + -480028. Suppose -96/5*r - a - 12/5*r**4 - 53/5*r**3 - 106/5*r**2 - 1/5*r**5 = 0. What is r?
-4, -2, -1
Let h = 57 + -36. Let p = h - 17. Suppose -81*a**3 + 12*a - 47*a**p - 11*a**4 + 42*a**5 + 24*a**2 + 7*a**4 = 0. Calculate a.
-1, -2/7, 0, 1/2, 2
Let a be (48/(-6))/(-80) - (-606)/(-60) - -12. Factor -5/2*z + 5/4*z**a - 60.
5*(z - 8)*(z + 6)/4
Let s be ((-35)/(7350/(-56)))/(54/405). Factor -s - 5/3*l - 1/3*l**2.
-(l + 2)*(l + 3)/3
Let g(j) = j**3 + 42*j**2 + j - 40. Let r(u) = -2*u**3 + u**2 + 3*u. Let a(x) = g(x) - 2*r(x). Factor a(t).
5*(t - 1)*(t + 1)*(t + 8)
Let q(h) be the second derivative of 7*h**5/10 - 1165*h**4/3 + 194884*h**3/3 - 165336*h**2 - 5636*h. Determine b, given that q(b) = 0.
6/7, 166
Let h(g) be the third derivative of g**6/120 - g**5/10 + 3*g**4/8 - 2*g**3/3 - 2*g**2 + 177*g. Factor h(t).
(t - 4)*(t - 1)**2
Let q(x) be the first derivative of -5/12*x**4 + 18 + 16*x - 5*x**2 - 5/2*x**3. Let y(d) be the first derivative of q(d). Suppose y(n) = 0. What is n?
-2, -1
Let m be (30/100)/((-6)/(-90))*6. Let u(g) = -4*g**3 - 3*g - 3. Let f be u(-1). Factor -21/2*z**5 + m*z**f + 0 + 9/2*z - 18*z**3 - 3*z**2.
-3*z*(z - 1)**3*(7*z + 3)/2
Let l be 14/4 + ((-15)/2 - -6). Determine j so that 3*j**4 - 20 + 7*j + 17*j**l + 8 + 19*j**3 - 3*j**5 - 8*j**4 - 23*j = 0.
-3, -1, -2/3, 1, 2
Let s(f) be the third derivative of -f**6/30 + f**4/2 - 4*f**3/3 - 1016*f**2. Factor s(w).
-4*(w - 1)**2*(w + 2)
Let w = 83596 - 585154/7. Find j such that 3/7 - w*j**3 + 24/7*j**2 + 18/7*j - 27/7*j**4 = 0.
-1, -1/3, 1
Let o(r) be the first derivative of r**5/20 - 2*r**4 + 21*r**3 + 16*r**2 - 256*r - 7314. Factor o(d).
(d - 16)**2*(d - 2)*(d + 2)/4
Solve -267289/2 + 1033/2*z**2 + 1/2*z**3 + 266255/2*z = 0 for z.
-517, 1
Let n(x) = -x**2 - 2*x - 6. Let p(c) = 3*c. Let z be 3 - 4 - (3 - (-1 + 1)). Let q(m) = z*n(m) - 12*p(m). What is o in q(o) = 0?
1, 6
Let x(u) be the first derivative of -u**4/24 - 55*u**3/18 - 107*u**2/12 - 53*u/6 + 826. Factor x(g).
-(g + 1)**2*(g + 53)/6
Suppose -36 + 21*i + 27/2*i**2 + 3/2*i**3 = 0. What is i?
-6, -4, 1
Let w = -330 - -4317/13. Let s = -55/39 + w. Factor 0 - s*z**5 + 0*z + 2*z**3 + 0*z**4 + 4/3*z**2.
-2*z**2*(z - 2)*(z + 1)**2/3
Let l(c) = 8*c**2 - 24*c + 2. Let u = 46 - 44. Let p(w) = -15*w**2 + 49*w - 3. Let k(t) = u*p(t) + 5*l(t). Suppose k(y) = 0. What is y?
1/5, 2
Let a(j) = j**3 + 47*j**2 + 7*j - 193. Let k be a(-47). Let m be 1139/116 + 36/k. Find z such that 9/4*z**2 - 21/4*z**4 + 27/2*z - m*z**3 + 0 - 3/4*z**5 = 0.
-3, -2, 0, 1
Let l(v) be the second derivative of -v**7/126 - 46*v**6/45 - 443*v**5/60 - 175*v**4/9 - 58*v**3/3 - 1527*v. Solve l(f) = 0 for f.
-87, -2, -1, 0
Let z(x) = x**3 - 3*x**2 - 2*x + 2. Let b = -235 + 221. Let f(n) = 4*n**3 - 9*n**2 - 7*n + 7. Let u(h) = b*z(h) + 4*f(h). Factor u(y).
2*y**2*(y + 3)
Let i(j) be the third derivative of j**6/180 - 89*j**5/180 - 8*j**4/3 + 31*j**3/2 + 2*j**2 + 645. Solve i(o) = 0.
-3, 1, 93/2
Let l(c) = 2*c + 6. Let s be l(-2). Factor -3 - 1 + 6*i + 236*i**s - 232*i**2.
2*(i + 2)*(2*i - 1)
Let a(d) be the second derivative of -3*d**5/20 + 61*d**4/2 - 121*d**3/2 + 9*d - 37. Let a(h) = 0. Calculate h.
0, 1, 121
Let s(o) be the second derivative of o**5 + 341*o**4/3 + 124*o**3/3 - 816*o**2 - 13522*o. Factor s(z).
4*(z - 1)*(z + 68)*(5*z + 6)
Determine s, given that 15*s - 15*s + 116*s**4 + 94*s**4 - 728*s**3 - 209*s**4 = 0.
0, 728
Let h(x) be the third derivative of 1/330*x**5 + 0*x - 12 - 7/132*x**4 - 8/33*x**3 - 7*x**2. Suppose h(n) = 0. Calculate n.
-1, 8
Factor 74*x - 420 - 2/3*x**2.
-2*(x - 105)*(x - 6)/3
Let y(c) = -c**3 - 3*c**2 - c + 2. Let w be y(-3). Suppose 499 = w*m - 1791. Factor 3*z**2 + 458 - m + 12*z.
3*z*(z + 4)
Let c(d) be the first derivative of 343*d**6/66 + 1323*d**5/55 + 1701*d**4/44 + 243*d**3/11 + 1439. Factor c(q).
q**2*(7*q + 9)**3/11
Let 0*x + 3/5*x**2 + 1/5*x**3 - 4/5 = 0. Calculate x.
-2, 1
Let g = -4/1059 + 599/2824. Let j(o) be the third derivative of -13*o**2 + 0*o**3 + 0 - g*o**4 + 1/12*o**5 + 0*o. Let j(w) = 0. What is w?
0, 1
Suppose 78*i - 214 + 214 = 0. Let h(o) be the second derivative of -1/20*o**5 + i - 1/4*o**4 + 4*o - 1/2*o**2 - 1/2*o**3. Factor h(t).
-(t + 1)**3
Let x(n) be the second derivative of -n**9/504 + n**8/560 - 41*n**3/3 + 66*n + 1. Let t(q) be the second derivative of x(q). Solve t(w) = 0.
0, 1/2
Let z(d) = d**2 - 13. Let v = 87 + -91. Let i be z(v). Let 4*a**4 - 10*a**3 + 13*a**3 - 5*a**i - 6*a**4 = 0. Calculate a.
-1, 0
Let x be 25/10*(-19752)/(-10960). Let s = x + -3/548. Find p such that -7/2*p**2 - 1 - s*p = 0.
-1, -2/7
What is w in 456/5 - 7/5*w**4 - 1906/5*w + 937/5*w**2 + 104*w**3 = 0?
-3, 2/7, 1, 76
Let p(u) be the second derivative of -u**7/42 - 47*u**6/30 + 149*u**5/20 - 53*u**4/12 - 74*u**3/3 + 50*u**2 - 5112*u. Find d such that p(d) = 0.
-50, -1, 1, 2
Let u(v) be the first derivative of -v**6/105 - 11*v**5/70 - 180*v - 81. Let t(s) be the first derivative of u(s). Suppose t(h) = 0. Calculate h.
-11, 0
Factor -52/3*s**4 + 232/3*s**3 + 4/3*s**5 + 340/3*s - 100/3 - 424/3*s**2.
4*(s - 5)**2*(s - 1)**3/3
Suppose -168 = -3*j - 3*l, 228*j - 226*j - 5*l + 7 = 0. Factor 3/2*p**2 + j*p + 507/2.
3*(p + 13)**2/2
Let d(j) = 120*j + 842. Let x be 46/(-299) + (-3 - (-50)/(-13)). Let c be d(x). Let 2*b**c + 4/5*b + 0 = 0. Calculate b.
-2/5, 0
Let k(y) be the third derivative of -y**7/6720 + 7*y**6/2880 + y**5/120 - 43*y**3/6 + 23*y**2. Let z(h) be the first derivative of k(h). Solve z(o) = 0 for o.
-1, 0, 8
Factor -533*g**2 - 70216/3*g - 3*g**3 + 71824/3.
-(g - 1)*(3*g + 268)**2/3
Factor 2/5*z**3 + 2816*z + 10240 + 328/5*z**2.
2*(z + 4)*(z + 80)**2/5
Let f(q) be the first derivative of -9/4*q**3 - 1/40*q**5 + 15 - 9*q**2 + 3/8*q**4 + 0*q. Let n(x) be the second derivative of f(x). Solve n(c) = 0.
3
Let l(j) = -2*j**4 - j**3 - j**2 + j - 2. Let t(d) = -11*d**4 + 24*d**3 + 157*d**2 + 273*d + 126. Let z(g) = -5*l(g) + t(g). Find o, given that z(o) = 0.
-2, -1, 34
Let m(y) be the first derivative of -3*y**4/2 + 16*y**3/3 - 11*y**2/2 - y - 90. Let h(d) = d**4 - d**3 - d + 1. Let a(p) = h(p) + m(p). Solve a(s) = 0.
0, 2, 3
Let h(a) be the first derivative of 0*a + a**2 - 7 - 4/3*a**3. Let s(g) = 21*g**2 - 11*g. Let b(q) = -11*h(q) - 2*s(q). Factor b(d).
2*d**2
Suppose 0 = 6*x - 84 + 54. Suppose -4*i = 13 - 13, x*y = 2*i. What is t in y*t**4 + 0*t + 1/3*t**2 + 1/6*t**5 - 1/2*t**3 + 0 = 0?
-2, 0, 1
Let x(g) = 3*g**2 + 54*g + 2. Let b be x(-18). Factor 17*r**2 + 7*r**2 - 41*r**2 - 7*r + 16*r**b.
-r*(r + 7)
What is q in 24 + 42*q + 10/3*q**2 = 0?
-12, -3/5
What is g in 28322/13 + 56168/13*g - 472/13*g**3 + 27372/13*g**2 + 2/13*g**4 = 0?
-1, 119
Let v = 2751 + -90971/33. Let w = -59/11 - v. Factor 8/3 + w*k**4 - 2*k**2 - 1/3*k**3 + 4/3*k.
(k - 2)**2*(k + 1)*(k + 2)/3
Let q = 128502 - 128502. Factor q*b + 0 - 3/2*b**4 - b**3 + 1/2*b**2.
-b**2*(b + 1)*(3*b - 1)/2
Let r(p) be the third derivative of -p**6/180 + 863*p**5/90 + 1729*p**4/36 + 865*p**3/9 + 5*p**2 - p - 257. Factor r(i).
-2*(i - 865)*(i + 1)**2/3
Let k be 0*(119/(-34) + 1 + 3). Let t(p) be the second derivative of k + 1/14*p**4 + 9/14*p**3 - 27/140*p**5 - 3*p - 3/7*p**2. Factor t(l).
-3*(l - 1)*(l + 1)*(9*l - 2)/7
What is g in -2/5*g**5 - 416*g**4 - 33281048*g - 144490*g**3 - 16856428*g**2 - 82843472/5 = 0?
-346, -1
Let q(d) = -2*d**2 - 43*d - 45. Let y be q(-20). Solve 25*m**5 + 0 + y*m**2 + 125/2*m**3 + 145/2*m**4 + 0*m = 0 for m.
-3/2, -1, -2/5, 0
Let p(n) be the third derivative of 5*n**8/112 + 101*n**7/105 + 16*n**6/15 - 2745*n**2. Factor p(t)