9*o**3 + l.
-(o - 8)**2*(9*o - 1)
Let k be 30/90*0/(-2). Suppose f + z - 5 = k, 5 + 1 = 4*f - 3*z. Suppose 1/2*q - q**2 + 1/2*q**f + 0 = 0. Calculate q.
0, 1
Suppose -5*t + 4 = -5*q - 1, -3*t + q = -9. Let b(n) be the third derivative of 49/3*n**3 + 0 + 1/30*n**5 - 17*n**2 + 7/6*n**t + 0*n. Factor b(c).
2*(c + 7)**2
Let u(p) be the first derivative of -86 + 0*p**2 + 0*p + 42/5*p**5 + 1/6*p**6 + 147*p**4 + 2744/3*p**3. Factor u(s).
s**2*(s + 14)**3
Let y(m) be the first derivative of -m**4/4 + 98*m**3/3 - 2193*m**2/2 - 10404*m - 1500. Factor y(u).
-(u - 51)**2*(u + 4)
Suppose 2*d - i = -3*d + 525, 525 = 5*d - 2*i. Let v = d - 103. Factor -c**3 + 7*c - v*c**2 + 5*c - c**2 - 14*c.
-c*(c + 1)*(c + 2)
Let x(a) = 3*a**2 + 20*a - 4*a**2 - 23 - 1 - 9. Let j be x(18). Factor 3*l + 16*l**j + 4*l**3 + 0*l**3 - 8*l - 15*l**2.
5*l*(l - 1)*(4*l + 1)
Let g be ((-35)/(-4)*108/(-126))/(-10). Let p(j) be the first derivative of 0*j - 1/2*j**3 - g*j**2 - 11. Factor p(c).
-3*c*(c + 1)/2
Let c(p) = -p**2 - 24*p - 17. Let q be c(-26). Let x = 71 + q. Let -8*h**x + 2*h**2 + 28*h + 3*h**3 - 25*h = 0. What is h?
0, 1
Let q be (-9 + (-1332)/(-156))*2509/(-386). Let 7/4*y**4 - 1/2 + 1/4*y + 19/4*y**q + 15/4*y**2 = 0. What is y?
-1, 2/7
Factor 2/19*j**3 - 50/19*j**2 - 1152/19 + 416/19*j.
2*(j - 9)*(j - 8)**2/19
Let t be ((-30)/6)/15 + 31/(3255/77). Factor -t*i**3 + 16/5*i - 24/5 + 2/5*i**2.
-2*(i - 2)**2*(i + 3)/5
Solve 21504*o + 4*o**5 + 12992*o**2 + 1069*o**3 - 13558 + 1139*o**3 + 156*o**4 - 23306 = 0.
-12, -8, 1
Let i(r) be the second derivative of -r**5/75 + 13*r**4/40 + r**3/3 - 83*r**2/2 - 74*r. Let o(j) be the first derivative of i(j). Let o(c) = 0. Calculate c.
-1/4, 10
Let g(y) be the second derivative of y**5/4 - 185*y**4/12 + 1615*y**3/6 + 1805*y**2/2 - 20*y + 7. Factor g(u).
5*(u - 19)**2*(u + 1)
What is z in -42*z**3 + 81/2*z + 3/2*z**5 + 9*z**2 - 9*z**4 + 0 = 0?
-3, -1, 0, 1, 9
Let d be 7/((-154)/(-33))*20/6. Let t(b) be the third derivative of -1/180*b**6 + 0*b**3 + 0*b**d + 1/36*b**4 - b**2 + 0*b + 0. Determine i so that t(i) = 0.
-1, 0, 1
Let a(x) be the third derivative of x**8/112 + 17*x**7/210 - x**6/15 - x**5/5 + x**2 + 2113*x - 1. Solve a(n) = 0.
-6, -2/3, 0, 1
Suppose 31 = 2*v - 5*a, -5*v + 0*v + 3*a + 30 = 0. Factor -21 + 25 - 172*y**2 - 348*y**v + 80*y + 436*y**3.
4*(y - 1)**2*(22*y + 1)
Let y = 484279/6 - 80704. Factor 0 + 70/3*t - y*t**2 + 5/6*t**3.
5*t*(t - 7)*(t - 4)/6
Let f(y) = 2*y**3 + 37*y**2 - 58*y - 93. Let l(x) = -2*x**3 - 38*x**2 + 56*x + 92. Let v(s) = 4*f(s) + 5*l(s). Determine m so that v(m) = 0.
-22, -1, 2
Let s(z) be the third derivative of 7*z**6/24 - 17*z**5/4 + 35*z**4/12 + 124*z**2. Factor s(t).
5*t*(t - 7)*(7*t - 2)
Let s be 2/11 - (-14518)/374. Suppose l = -37 + s. Factor 0*i + 0 - 1/2*i**l.
-i**2/2
Let t = -27453 + 27490. Let s(x) be the first derivative of 0*x + 9/16*x**2 - 3/32*x**4 + 1/4*x**3 + t. Solve s(c) = 0 for c.
-1, 0, 3
Factor 29*i**3 + 12*i**2 - 535*i - 15*i**3 - 21*i - 552 + 2*i**3 + 0.
4*(i - 6)*(i + 1)*(4*i + 23)
Suppose -146*s + 141*s + d + 180 = 0, 5*s = 7*d + 270. What is v in -3/2*v**4 + 15/2*v**3 + 24*v + 0 + s*v**2 = 0?
-2, -1, 0, 8
Let s(b) = -b**3 + 9*b**2 - 3*b - 11. Let g be s(8). Determine u so that 50*u**3 - 3*u**2 - 5*u**5 + 3*u**2 - 74*u**4 + g*u**4 = 0.
-10, 0, 1
Suppose -a + a**3 - 1/3*a**4 + 2/3 - 1/3*a**2 = 0. Calculate a.
-1, 1, 2
Let y(l) be the first derivative of -l**4 + 16*l**3/3 - 6*l**2 - 1251. Solve y(o) = 0.
0, 1, 3
Let z be (-52)/(-17)*(-69)/1104. Let n = 1/17 - z. Suppose 1/2*u - 1/4*u**3 + n*u**2 + 0 = 0. Calculate u.
-1, 0, 2
Factor -11*o + 12*o - 27*o - o**2 + 46 - 9 - 10.
-(o - 1)*(o + 27)
Factor -35422*l**2 - 10*l**3 - 2*l**4 + 35414*l**2 + 4*l - 4*l.
-2*l**2*(l + 1)*(l + 4)
Find y such that 3/7*y**5 + 24/7*y**4 + 24/7*y + 66/7*y**2 + 9*y**3 + 0 = 0.
-4, -2, -1, 0
Let v(r) be the second derivative of r**6/90 + r**5/10 - 519*r. Factor v(y).
y**3*(y + 6)/3
Suppose 4*c + 3*t = c + 6, 3*t = 0. Suppose -24*q + 46 = -c. Solve 50*j**q + 0 - 10*j**3 - 250/3*j + 2/3*j**4 = 0 for j.
0, 5
Let m(v) be the first derivative of -7*v**4/2 + 536*v**3/3 - 17956*v**2/7 + 2029. Suppose m(j) = 0. What is j?
0, 134/7
Let x(y) be the second derivative of 128/3*y**2 - 16/9*y**3 + 1/36*y**4 - 1 - 13*y. Factor x(d).
(d - 16)**2/3
Let a(k) be the second derivative of 2*k**6/15 - 18*k**5/5 + 17*k**4/3 - 598*k + 1. Find d such that a(d) = 0.
0, 1, 17
Determine s so that 0 + 15*s**5 + 40*s - 335/2*s**3 + 215*s**2 - 205/2*s**4 = 0.
-2, -1/6, 0, 1, 8
Let n(z) = z**2 + 155*z - 166. Let s(u) = -3*u + 1. Let k(a) = 2*n(a) - 10*s(a). Factor k(x).
2*(x - 1)*(x + 171)
Let r(n) be the third derivative of 14/3*n**4 - 392/3*n**3 - 1/15*n**5 - 2*n + 0 + 7*n**2. Suppose r(v) = 0. Calculate v.
14
Let o(j) be the first derivative of -20/9*j**2 + 8/9*j - 14 - 22/27*j**3. Factor o(t).
-2*(t + 2)*(11*t - 2)/9
Let a(v) = -14*v**2 + 640*v + 6266. Let o be a(54). What is u in 38*u - 1/5*u**o - 1805 = 0?
95
Suppose -23*s + 26*s = 5*o + 28, 148 = -3*o + 10*s. Factor 22/3*h**o + 304/3*h**2 + 0 + 170/3*h**3 - 32*h.
2*h*(h + 4)**2*(11*h - 3)/3
Suppose -1445 = -9*d + 4*d. Find w such that 42*w**2 - 18*w**2 - 23*w**2 + d + 34*w = 0.
-17
Find m such that -76/7*m**3 - 2 + 68/7*m + 46/7*m**4 + 8/7*m**5 - 32/7*m**2 = 0.
-7, -1, 1/4, 1
Let d = 20 - 17. Suppose -10*x = -u - 15*x + 8, -u + 7 = 4*x. Factor -2*v**d - 18 + 10*v**2 - 13*v + 4*v**u + 19*v.
2*(v - 1)*(v + 3)**2
What is l in -7948*l + 1390*l - 461*l**2 - 3*l**3 - 97*l**2 - 19389*l = 0?
-93, 0
Let o be (-54)/40*((-2806)/92 - -28). Suppose 51/4*t + o*t**2 - 3 = 0. Calculate t.
-4, 2/9
Let z be -6*((-10)/15)/(8/210). Let o = -731/7 + z. Factor -o*q - 6/7 - 2/21*q**2.
-2*(q + 3)**2/21
Let z(d) be the second derivative of -d**4/16 - 97*d**3/2 + 588*d**2 + 3839*d. What is h in z(h) = 0?
-392, 4
Suppose -4 = -15*v + 41 - 0. Let p(n) be the second derivative of 0 - 5/9*n**v + 1/12*n**5 + 12*n + 0*n**2 + 5/36*n**4. Let p(f) = 0. Calculate f.
-2, 0, 1
Suppose -10*d - 6*d = -23296. Factor 1489*l**2 - 14 - d*l**2 + 14*l**3 + l**4 + 78 - 112*l.
(l - 1)**2*(l + 8)**2
Determine l so that -196*l**4 + 4*l - 120*l**2 + 160 - 43*l**3 + 91*l**4 + 104*l**4 = 0.
-40, -2, 1
Let t(m) be the second derivative of 9*m**5/55 + 145*m**4/66 + 296*m**3/33 + 16*m**2/11 + 3802*m. Factor t(l).
2*(l + 4)**2*(18*l + 1)/11
Factor 1/5*u**4 + 504/5*u + 89/5*u**3 + 426/5*u**2 + 0.
u*(u + 2)*(u + 3)*(u + 84)/5
Let a(o) be the second derivative of o**7/42 - o**6/30 - o**5/20 + o**4/12 + 3900*o. Factor a(g).
g**2*(g - 1)**2*(g + 1)
Determine r, given that -4/3*r**3 + 0 + 80/9*r - 44/9*r**2 + 1/9*r**5 + 5/9*r**4 = 0.
-5, -4, 0, 2
Find d, given that 8*d - 120 + 2/5*d**2 = 0.
-30, 10
Let a(p) be the first derivative of -2*p**6/3 - 12*p**5/5 + 10*p**4 - 427. Factor a(r).
-4*r**3*(r - 2)*(r + 5)
Solve 84034/11*o**3 + 80786/11*o**2 + 8/11 - 82418/11*o**5 - 1616/11*o - 80794/11*o**4 = 0.
-1, 2/203, 1
Factor -2/17*z**3 + 64/17*z**2 - 232/17 - 166/17*z.
-2*(z - 29)*(z - 4)*(z + 1)/17
Let z(k) = k**3 + 13*k**2 + 3*k + 41. Let c be z(-13). Determine y so that -4*y**3 - 12*y**c + 55 + 0*y - 8*y - 55 = 0.
-2, -1, 0
Let r be 32/(-12) - ((-2574)/135 - -2). Factor -r + 264/5*q - 242/5*q**2.
-2*(11*q - 6)**2/5
Suppose 0 = -2*m - 27*j + 23*j + 8, 3*m = 3*j + 3. Factor 0 - t + 1/2*t**m.
t*(t - 2)/2
Let n(b) be the first derivative of b**4/12 + b**3/3 + b**2/2 - 11*b - 45. Let o(q) be the first derivative of n(q). What is d in o(d) = 0?
-1
Factor 44/9*v + 0 - 8/3*v**3 + 2/9*v**4 + 2*v**2.
2*v*(v - 11)*(v - 2)*(v + 1)/9
Suppose 0 = -5*t + 5*o + 35, -3*t - 11*o + 12*o + 15 = 0. Factor 738 + 3*f**t - 918 + 420*f + 9*f**4 - 305*f**2 - 17*f**4 + 70*f**3.
-5*(f - 6)**2*(f - 1)**2
Let p(v) be the first derivative of -v**6/18 - 3*v**5/20 + v**4/12 - 5*v**3/3 - 17. Let d(l) be the third derivative of p(l). Solve d(x) = 0 for x.
-1, 1/10
Let w(q) be the second derivative of q**8/3360 - q**7/560 - q**6/180 - 34*q**3/3 + 25*q - 1. Let s(d) be the second derivative of w(d). Factor s(j).
j**2*(j - 4)*(j + 1)/2
Determine w, given that -212/13 + 106/13*w**3 - 2/13*w**4 + 6/13*w**2 - 314/13*w = 0.
-1, 2, 53
Determine g, given that 588/5*g**2 + 0 - 468/5*g**3 + 27/5*g**4 - 192/5*g = 0.
0, 2/3, 16
Let r = 4633/870 + -11/435. Let y = r + -291/70. Factor -