 0*z**3 + 1/300*z**6 + 0 - 1/5*z**5 + 15/4*z**4 - 167*z**2. Factor j(u).
2*u*(u - 15)**2/5
Factor 384/7*u - 6/7*u**3 + 18/7*u**2 - 1152/7.
-6*(u - 8)*(u - 3)*(u + 8)/7
Factor -3/7*g**3 + 832/7 + 16/7*g - 5*g**2.
-(g + 8)**2*(3*g - 13)/7
Let j(u) = u**2 - 15*u - 2*u**2 - 9*u + 31. Let t be (-5 + (-20)/(-6))/(5/(-18)). Let m(a) = -25*a + 30. Let w(r) = t*m(r) - 5*j(r). Factor w(o).
5*(o - 5)*(o - 1)
Let a(i) be the third derivative of -i**7/1260 - 53*i**6/720 - 5*i**5/36 + 13*i**4/18 + 65*i**2 - 1. Let a(k) = 0. What is k?
-52, -2, 0, 1
Suppose 31399 = 3*x + 2*q, -3*x + x + 20950 = -3*q. Suppose 10461*t + 16 = x*t. Let 6*g + 2/3*g**t + 16/3 = 0. What is g?
-8, -1
Let x(r) be the second derivative of r**6/15 - r**5/10 - r**4/2 + r**3/3 + 2*r**2 + 394*r + 4. Factor x(y).
2*(y - 2)*(y - 1)*(y + 1)**2
Let s be (-75)/(-18) - 2/12. Factor s*w**2 - 3752*w - 84 + 20 + 3812*w.
4*(w - 1)*(w + 16)
Let f(u) be the second derivative of u**4/12 - u**3/6 - 9*u**2/2 + 32*u. Let p be f(-3). Factor -6*s - 16*s**2 + 17*s**3 - 5*s**p + 8 - 4*s + 6*s.
4*(s - 1)**2*(3*s + 2)
Let u(m) be the second derivative of -6 + 44/3*m**3 - 51/10*m**5 - 72*m**2 + 2*m + 25/3*m**4 + 14/15*m**6 - 1/21*m**7. Factor u(g).
-2*(g - 9)*(g - 2)**3*(g + 1)
Let b(x) = -19*x + 42. Let i be b(2). Let v(k) be the first derivative of 13 + 3/5*k - 45/2*k**i + 5*k**5 - 23/5*k**2 + 16*k**3. Factor v(m).
(m - 3)*(5*m - 1)**3/5
Let x be ((-16)/(-24))/(4/18). Suppose -g = -3*u + 1418, 0 = -x*u + g + 2*g + 1422. Factor -2*s**3 - 452 - 3*s**3 + u - 15*s**2.
-5*(s - 1)*(s + 2)**2
Let u(s) be the first derivative of -s**5/35 - 67*s**4/14 - 220*s**3 - 4356*s**2/7 - 3387. Factor u(k).
-k*(k + 2)*(k + 66)**2/7
Let m(q) = 10*q**2 - 4*q - 16. Let w(s) = -3*s**2 + s + 5. Let v(x) = -2*m(x) - 7*w(x). Let r be v(-3). Factor 5*j**2 + 35*j**3 - 33*j**3 - 8 + r*j**2 - 2*j.
2*(j - 1)*(j + 1)*(j + 4)
Let u(k) = 0*k**4 + k**5 + k**2 - 5*k**3 + k**4 + 4*k**3. Let n = -1404 - -1403. Let p(o) = -o**2. Let s(f) = n*u(f) - 2*p(f). Determine g so that s(g) = 0.
-1, 0, 1
Suppose 5*l + 40 = -1379*t + 1384*t, 3*l + 40 = 5*t. Let -t*v**2 + 2*v**4 + 8*v + 0*v**3 + 0 - 1/2*v**5 = 0. Calculate v.
-2, 0, 2
What is j in -16*j**2 - 3*j**4 - 262*j**3 + 259*j**3 + 12*j + 19*j**2 + 9*j**2 = 0?
-2, -1, 0, 2
Let o = 4705 - 4705. Let u(j) be the second derivative of o + 2/45*j**3 - 21*j + 1/90*j**4 - 1/5*j**2. Suppose u(l) = 0. Calculate l.
-3, 1
Let n(p) be the second derivative of 5*p**4/3 - 86*p**3/3 + 48*p**2 - 1590*p. Determine m, given that n(m) = 0.
3/5, 8
Let n(c) = 25*c + 185. Let r be n(-7). Let j be ((-300)/(-36) - r)/(5/(-2)). Solve -8/15*p**2 - 2/5*p**3 + j*p + 4/15 = 0 for p.
-2, -1/3, 1
Determine y so that -1209/5*y + 303/5 - 12/5*y**2 = 0.
-101, 1/4
Let b(f) = 2*f**2 + 66*f + 124. Let h be b(-31). Let m(a) be the third derivative of 0 + 0*a**3 + h*a + 1/108*a**4 + 15*a**2 - 1/540*a**6 + 0*a**5. Factor m(j).
-2*j*(j - 1)*(j + 1)/9
Find f, given that -97/4*f - 281/2*f**3 + 89/2*f**4 + 127*f**2 - 19/2 + 11/4*f**5 = 0.
-19, -2/11, 1
Let q(z) = -z**2 - z + 3. Let c(h) = 95*h + 560. Let f(j) = c(j) + 5*q(j). Solve f(p) = 0.
-5, 23
Suppose -3*h - 18 = 0, -481 = 4*c - h - 503. Let i = 2 + -2. Solve 0*k - 5/6*k**c - 1/3*k**5 + i*k**2 + 0 - 1/2*k**3 = 0 for k.
-3/2, -1, 0
Suppose -p - 8 = -2*y, 4*y - 12 = p - 0*p. Let o(r) be the third derivative of 0*r**3 + 0*r**4 + 1/390*r**5 + 0 + 1/780*r**6 + 13*r**y + 0*r. Factor o(g).
2*g**2*(g + 1)/13
Let k(y) be the third derivative of -y**6/300 + y**5/150 + y**4/10 + 51*y**2. Let k(f) = 0. What is f?
-2, 0, 3
Let w(z) be the second derivative of z**7/252 + 13*z**6/30 + 51*z**5/40 + 19*z**4/18 + 642*z. Factor w(u).
u**2*(u + 1)**2*(u + 76)/6
Let h be -4 + 16/10*(-5)/(-2). Let v be (9 - 6)*-3*2/(-6)*1. Solve 18/7*x**v + 2/7*x**5 - 2*x**2 + 4/7*x - 10/7*x**4 + h = 0 for x.
0, 1, 2
Let t(s) be the first derivative of -9*s**4/4 - 29*s**3 - 84*s**2 - 898. Find j, given that t(j) = 0.
-7, -8/3, 0
Let l be 3455/(-60)*3 + 3/4. Let d be (l/(-3))/((-8)/6 + 2). Factor -2*m + d*m**3 - 6*m - 82*m**3 - 6*m**2 + 2*m**2.
4*m*(m - 2)*(m + 1)
Let y(n) = -n**2 + 21*n - 65. Let b be y(16). Suppose b = -4*k + 47. Factor 1/2*u**4 + 12*u**2 + 16*u + 4*u**3 + k.
(u + 2)**4/2
Let g be 50 - 192/(-924)*-220. Find j such that 4*j - 2/7*j**2 + g = 0.
-1, 15
Suppose -f + 2 = 2*j, -9*f = -8*f - 2*j + 2. Suppose f = -5*t - 0*h + h + 11, 3*t + 3*h - 3 = 0. Factor t + 1/2*u**2 - 5/2*u.
(u - 4)*(u - 1)/2
Let k(f) = f**3 - f**2 - f + 6. Let i be k(0). Let c be i/(-8)*8/(-3). Factor -3 + 358*r + 9*r**2 - 346*r + 6*r**c.
3*(r + 1)*(5*r - 1)
Let s(y) be the first derivative of -112 + 20*y + 5/3*y**3 - 10*y**2. Factor s(v).
5*(v - 2)**2
Let j(d) be the third derivative of -7/15*d**5 + 0*d + 0*d**3 + 0 - 89*d**2 + 2*d**4 + 1/60*d**6. Factor j(t).
2*t*(t - 12)*(t - 2)
Let n(z) = -2*z**4 + 3*z**3 + 2*z**2 - z - 1. Let j(f) = -12*f**4 + 68*f**3 + 20*f**2 - 756*f - 1044. Let x(w) = j(w) - 4*n(w). Find h such that x(h) = 0.
-2, 5, 13
Let p(x) be the third derivative of -x**5/210 - 17*x**4/84 - 257*x**2. Factor p(k).
-2*k*(k + 17)/7
Let b be (-1813)/5145 + ((-4)/(-14))/1. Let v = b + 19/60. Factor 1/4*p**4 + 0 + v*p**3 - 1/4*p**2 - 1/4*p.
p*(p - 1)*(p + 1)**2/4
Let o(i) = -i**2 + 30*i - 101. Let v = -122 - -126. Let c be o(v). What is m in 1/6*m**c + 0*m + 0 + 1/3*m**2 = 0?
-2, 0
Let m be (-1309)/(-5) + -13 + 2. Let l = 5061/20 - m. Factor -l*z**4 + 0 - 3/4*z**2 - 9/4*z**3 + 0*z - 3/4*z**5.
-3*z**2*(z + 1)**3/4
Solve -y**3 - 333 - 93 - 100*y**2 - 573*y + 84 - 504 = 0.
-94, -3
Let r(o) be the third derivative of o**6/60 - 137*o**5/90 + 5*o**4/2 - 141*o**2 + 2. Suppose r(s) = 0. Calculate s.
0, 2/3, 45
Suppose -2*b - 4*d - 5 = 11, 2*b + 1 = -d. Suppose -3*w = o + b*w + 8, -3*o + 2 = 2*w. Let 0 - 1/3*k + 7/6*k**o = 0. Calculate k.
0, 2/7
Factor -6033 - 1800*c + 1770 - 4341 - 1396 - 16*c**4 + 72*c**3 + 719*c**2.
-(c + 4)**2*(4*c - 25)**2
Let j(s) be the second derivative of -s**7/21 - 37*s**6/45 - 18*s**5/5 + 56*s**4/9 + 160*s**3/3 + 48*s**2 + 10*s + 27. Let j(r) = 0. Calculate r.
-6, -2, -1/3, 2
Let f(j) be the second derivative of j**6/2700 - j**5/45 - j**3/2 + 5*j**2/2 + 54*j. Let t(u) be the second derivative of f(u). Factor t(v).
2*v*(v - 20)/15
Suppose -23*a + 159 - 21 = 0. Suppose a = -w + 5*h + 4, 4*h = -2*w + 10. Factor 64/7*t + 14*t**w + 8/7 + 22*t**2.
2*(t + 1)*(7*t + 2)**2/7
Let k(o) be the third derivative of -o**8/168 - 2*o**7/105 + o**6/15 + 4*o**5/15 + 3*o**2 + 92*o. Factor k(a).
-2*a**2*(a - 2)*(a + 2)**2
Let i(j) be the second derivative of -275894451*j**5/10 + 423801*j**4 - 2604*j**3 + 8*j**2 + 724*j. Factor i(k).
-2*(651*k - 2)**3
Let n(l) be the third derivative of -l**5/120 - 157*l**4/24 + 1247*l**2. Suppose n(c) = 0. Calculate c.
-314, 0
Let r(y) be the first derivative of -y**3/3 - 27*y**2 + 952*y + 290. Let f be r(-68). Factor f + 0*d + 1/3*d**2.
d**2/3
Let b(l) be the first derivative of 48 - 1/5*l**2 - 4/15*l**3 + 1/25*l**5 + 1/10*l**4 + 3/5*l. Factor b(w).
(w - 1)**2*(w + 1)*(w + 3)/5
Suppose 0 = -3*n + 5*n - 10. Factor 0*z + n*z - z**3 + 80 - 77 + z**2.
-(z - 3)*(z + 1)**2
Let x be (-2)/(-8) + (-290)/8. Let d be (158/711)/((-2)/x). Find q such that -2/3*q - 2/15 - 4/3*q**2 - 2/15*q**5 - 2/3*q**d - 4/3*q**3 = 0.
-1
Let f(z) be the second derivative of -z**4/6 - 182*z**3/3 - 8281*z**2 + 428*z. Find n such that f(n) = 0.
-91
Let c be (-355)/(-852)*(9 - 16 - -9). What is u in c*u**2 - u + 0 + 1/6*u**3 = 0?
-6, 0, 1
Factor -1/5*b**3 - 252/5*b + 248/5 + 66/5*b**2.
-(b - 62)*(b - 2)**2/5
Let z(r) = -4*r**2 - 324*r - 12798. Let y(t) = 5*t**2 + 326*t + 12797. Let m(w) = -2*y(w) - 3*z(w). Find b such that m(b) = 0.
-80
Let a be 1386/540 + 5/(-3). Let n(m) be the second derivative of 3*m**4 - 5*m**3 + 0 + 8*m + 9/2*m**2 + 1/10*m**6 - a*m**5. Factor n(q).
3*(q - 3)*(q - 1)**3
Let q(l) be the first derivative of -3/8*l**2 + 1/4*l**3 - 9/2*l - 89. Factor q(d).
3*(d - 3)*(d + 2)/4
Let j(r) = r**2 + 1368*r - 13768. Let a be j(10). Factor -72*f**2 - 1/2*f**4 + 0*f + a*f**3 + 0.
-f**2*(f - 12)**2/2
Let p(v) = -168*v**3 + 753*v**2 - 159*v. Let k = 211 - 244. Let r(c) = 21*c**3 - 94*c**2 + 20*c. Let u(a) = k*r(a) - 4*p(a). Factor u(q).
-3*q*(q - 4)*(7*q - 2)
Suppose z + 3 = q, q - 3*z = -0*q + 11. Let w(p) = -p**2 - p. Let k(o) 