e 386 - 866 = -15*g. Factor g*w**2 + 22/3*w**4 + 0*w + 80/3*w**3 + 2/3*w**5 + 0.
2*w**2*(w + 3)*(w + 4)**2/3
Factor 405/4*p - 101*p**2 + 0 - 1/4*p**3.
-p*(p - 1)*(p + 405)/4
Suppose -4*t + 8*t - w = 8, w = -2*t + 22. Let 6/5*j**t - 12*j**2 + 28/5*j**4 + 0 + 18/5*j + 8/5*j**3 = 0. Calculate j.
-3, 0, 1/3, 1
Let s(l) be the second derivative of l**5/4 + 15*l**4/2 + 25*l**3/2 - 85*l**2 - 946*l. Factor s(w).
5*(w - 1)*(w + 2)*(w + 17)
Suppose l - 23 = -4*w + 8, l - 2*w + 11 = 0. Let g(q) be the second derivative of 7*q + 0 + 5/48*q**4 + 5/6*q**l - 25/8*q**2. Factor g(k).
5*(k - 1)*(k + 5)/4
Suppose -18 = -3*z + 6*n - 2*n, 0 = 3*n + 9. Let i(s) = -20*s**2 + 14*s + 28. Let x(k) = k**2 - k - 1. Let c(h) = z*i(h) + 44*x(h). Factor c(q).
4*(q - 3)*(q - 1)
Determine p, given that -1736*p - 1266*p + 2253001 + 141*p**2 - 67*p**2 - 73*p**2 = 0.
1501
Let f(k) be the first derivative of 250*k - 10*k**2 + 2/15*k**3 - 48. Factor f(p).
2*(p - 25)**2/5
What is j in -199090 - 283020 - 101184*j - 253230 + 69484 - 4752*j**2 + 908*j**2 = 0?
-408/31
Factor -6/5*g**3 - 1/5*g**4 + 4/5*g**2 + 0 + 24/5*g.
-g*(g - 2)*(g + 2)*(g + 6)/5
Suppose 2163 - 3519 = -2187*p + 3018. Factor -1 - 7/5*y**p + 11/5*y + 1/5*y**3.
(y - 5)*(y - 1)**2/5
Let a(m) be the first derivative of m**3/3 - 34*m**2 + 195*m - 8122. Let a(g) = 0. Calculate g.
3, 65
Let v = 264 - 261. Factor -8*f + 37*f**3 - 236*f**2 - 18 + 128*f - 18*f**4 + 61*f**3 + 22*f**v.
-2*(f - 3)**2*(3*f - 1)**2
Let z(a) = 2*a**4 - 4*a**3 - 10*a**2 + 8*a + 14. Let v(s) = 8*s**4 - 17*s**3 - 39*s**2 + 32*s + 55. Let f = -777 + 775. Let b(h) = f*v(h) + 9*z(h). Factor b(o).
2*(o - 2)**2*(o + 1)*(o + 2)
Let v(o) = -20*o**3 + 116*o**2 + 1104*o - 1184. Let z(s) = -4*s**3 + 23*s**2 + 221*s - 237. Let b(p) = -3*v(p) + 16*z(p). Factor b(x).
-4*(x - 10)*(x - 1)*(x + 6)
Let c(m) = -15*m**3 + 305*m**2 - 998*m + 297. Let q(x) = -105*x**3 + 2130*x**2 - 6985*x + 2080. Let s(w) = 20*c(w) - 3*q(w). Factor s(r).
5*(r - 15)*(r - 4)*(3*r - 1)
Let h = -40017 + 720307/18. Let b(g) be the first derivative of h*g**4 - 22 - 4/9*g**2 + 16/9*g - 4/27*g**3. Factor b(c).
2*(c - 2)**2*(c + 2)/9
Let z be 11*(10982/28611 - (-2)/(-18)). Determine b so that 0 - 1/3*b**4 + 2/3*b**z - 1/3*b**2 + 0*b = 0.
0, 1
Let c be (-94)/8 - 1188/(-99). Let j(f) be the second derivative of 0 + 3/100*f**5 - 9/10*f**2 - c*f**4 + 7/10*f**3 - 25*f. Factor j(g).
3*(g - 3)*(g - 1)**2/5
Let h(j) be the first derivative of 0*j - j**2 - 3/5*j**5 + j**3 - 62 + 1/6*j**6 + 1/4*j**4. Factor h(k).
k*(k - 2)*(k - 1)**2*(k + 1)
Let n = -1082 - -647. Let i = n - -688. Determine q, given that 253*q + q**2 - 1 - i*q = 0.
-1, 1
Let g(d) be the third derivative of -d**6/96 + d**5/4 - 35*d**4/32 - 245*d**3/12 + 2942*d**2. Factor g(c).
-5*(c - 7)**2*(c + 2)/4
Let w(g) be the second derivative of g**7/70 + 31*g**6/25 + 441*g**5/50 + 26*g**4 + 401*g**3/10 + 171*g**2/5 + 3078*g. Solve w(b) = 0 for b.
-57, -2, -1
Suppose 8*j + 5*u - 39 = 7*j, -3*u = 2*j - 29. Let m(s) be the first derivative of 0*s + 17 - 5/18*s**3 - 1/24*s**j - 1/2*s**2. Factor m(d).
-d*(d + 2)*(d + 3)/6
Let -200 + 2*h**4 + 5360/7*h - 452/7*h**3 - 1482/7*h**2 = 0. What is h?
-5, 2/7, 2, 35
Let i(s) be the second derivative of -s**4/21 - 128*s**3/21 + 130*s**2/7 - s + 2342. Suppose i(y) = 0. Calculate y.
-65, 1
Determine q so that -179/3*q - 1/3*q**2 + 0 = 0.
-179, 0
Let w(i) be the second derivative of -i**4/24 + 7*i**3/12 - 3*i**2 + 538*i. Factor w(c).
-(c - 4)*(c - 3)/2
Let d(y) be the first derivative of 4*y**5/5 + 227*y**4 + 1072. Factor d(k).
4*k**3*(k + 227)
Let z be ((-129)/(-1720))/((-1)/(-40)). Let -18/5*f**2 - 22/5 + 2/5*f**z - 42/5*f = 0. Calculate f.
-1, 11
Suppose 3*x - 10 = -2*x + d, d = 0. Let y = -3 - -7. Factor -6*t**x - 2*t**2 + 7*t**3 - y*t + 29*t**4 - 24*t**4.
t*(t - 1)*(t + 2)*(5*t + 2)
Let p(r) be the third derivative of -1/150*r**5 + 64*r**2 + 1/30*r**4 + 0*r + 0*r**3 + 0. Determine c, given that p(c) = 0.
0, 2
Let v(p) be the first derivative of 5*p**4/4 + 208*p**3/3 + 121*p**2/2 - 82*p + 11543. Solve v(q) = 0 for q.
-41, -1, 2/5
Let l(z) be the second derivative of 249*z**5/20 - 165*z**4/4 + 81*z**3/2 + 3*z**2/2 + 1761*z - 1. Suppose l(m) = 0. Calculate m.
-1/83, 1
Let k = -431 + 433. Factor -5*w**3 - 4*w**k + w**2 + 8 + 5*w - 12*w**2 + 7.
-5*(w - 1)*(w + 1)*(w + 3)
Let y be (-836)/(-14) + 2/14*2. Let p be (-6)/(-63) + (-1 - y/(-56)). Factor p*g**2 + 0 - 2/3*g.
g*(g - 4)/6
Suppose 3*f - 2*p - 10 = 0, -2*f - 2*p + 14 = -7*p. Factor -12 - 3*t**f - 2*t**3 - 12*t**2 - 148*t + 172*t + 5*t**3.
3*(t - 2)**2*(t - 1)
Let v be 8 - 5 - 252 - -6. Let f = v - -247. Factor 1/2*z**f + 1/4*z**3 + 1/4*z**5 + 0 + 0*z**2 + 0*z.
z**3*(z + 1)**2/4
Let k(g) be the first derivative of 65/2*g**2 + 20/3*g**3 - 101 + 15*g. Determine t, given that k(t) = 0.
-3, -1/4
Let k(n) be the third derivative of 1/16*n**4 - 3*n + 1/672*n**8 - 1/60*n**6 + n**2 + 0*n**7 - 1/6*n**3 + 0 + 1/60*n**5. Factor k(g).
(g - 1)**3*(g + 1)*(g + 2)/2
Let s(b) be the second derivative of b**5/5 - 2*b**4/3 - 320*b**3/3 + 1792*b**2 - 7*b + 131. Determine g so that s(g) = 0.
-14, 8
Let i(t) be the first derivative of 2*t**3/3 + 169*t**2 - 2100*t + 3535. Factor i(a).
2*(a - 6)*(a + 175)
Let o(l) be the first derivative of -2/35*l**5 + 1/21*l**6 + 2/21*l**3 - 1/14*l**4 + 0*l + 0*l**2 + 77. Factor o(n).
2*n**2*(n - 1)**2*(n + 1)/7
Let n(b) be the third derivative of 0*b + 0 - 143*b**2 - 1/420*b**6 + 7/10*b**5 + 16807/3*b**3 - 343/4*b**4. Suppose n(r) = 0. Calculate r.
49
Suppose 15*v - 20*v + 10 = 0. Factor 0 - 120*t**3 + 119*t**3 + 0 + 6*t**4 - v*t**4.
t**3*(4*t - 1)
Suppose -416 = 3*s - 7*s. Let f = s + 87. Solve f*z - 2*z**2 - 191*z = 0.
0
Let v be ((-660)/(-44))/(6/2). Let g(m) be the second derivative of -1/6*m**6 - 3/4*m**v + 0 + 10/3*m**3 + 0*m**4 - 19*m + 0*m**2. Factor g(b).
-5*b*(b - 1)*(b + 2)**2
Suppose -27*a + 31*a = -24. Let y be (-2 - a)*(-3)/(-4). Factor -1/2*j**y + 0 + 0*j - 1/2*j**2.
-j**2*(j + 1)/2
Let h = 2/15863 - -126890/111041. Let j(c) be the first derivative of -8/7*c**2 + h*c**3 + 5/7*c**4 + 32 - 32/7*c + 4/35*c**5. Factor j(q).
4*(q - 1)*(q + 2)**3/7
Factor 61/2*q**2 - q + 1/4*q**3 - 122.
(q - 2)*(q + 2)*(q + 122)/4
Let r(z) = z**3 + 3*z**2 - 12*z - 31. Let n be r(-3). Let x(l) = -l**2 - 8*l + 68. Let u be x(n). Find f such that 0*f**2 - 4/5*f - 1/5*f**4 + 0 + 3/5*f**u = 0.
-1, 0, 2
Let a(x) be the first derivative of 5*x**6/9 + 136*x**5/15 + 217*x**4/6 + 164*x**3/9 - 24*x**2 + 1101. What is u in a(u) = 0?
-9, -4, -1, 0, 2/5
Let s(w) be the second derivative of -w**5/30 - w**4/3 + 51*w**2/2 + 7*w. Let m(f) be the first derivative of s(f). Factor m(v).
-2*v*(v + 4)
Let z = 48029/4 - 12007. Factor -z*i**4 + 3/4*i**3 + 1/4*i + 0 - 3/4*i**2.
-i*(i - 1)**3/4
Let o(t) be the first derivative of -t**6/9 - 568*t**5/15 - 13394*t**4/3 - 1659460*t**3/9 + 911525*t**2/3 + 3429500*t/3 - 892. Find j, given that o(j) = 0.
-95, -1, 2
Suppose y + 5*m = -21 - 11, -24 = 2*y + 2*m. Let l be 2 + 3 - (0 + 2) - y. Let -3*j**2 - 3*j**2 - 4*j + l*j**2 + 4*j**3 - 4*j**4 = 0. Calculate j.
-1, 0, 1
Let a(l) = 188*l**2 - l + 12. Let w(b) = 375*b**2 - 3*b + 31. Let q(m) = -10*a(m) + 4*w(m). Factor q(k).
-2*(10*k - 1)*(19*k + 2)
Let x(j) be the second derivative of j**4/24 + 17*j**3/2 + 50*j**2 + 7*j + 30. Factor x(o).
(o + 2)*(o + 100)/2
Let d(y) be the third derivative of -y**8/112 - 4*y**7/5 - 26*y**6 - 320*y**5 - y**2 - 3159*y. Determine n, given that d(n) = 0.
-20, -16, 0
Let n = 397/130 - 36/65. Let c(s) be the second derivative of 5/6*s**3 + 5/12*s**4 + 0 - 9*s - 1/4*s**5 - n*s**2. Find m, given that c(m) = 0.
-1, 1
Suppose -a - 4*g + 25 = 0, 2*a + 4*g - 11 = 27. Suppose 93*f = a*f. Factor 0*c**3 + 2/3*c**4 + f - 2/3*c**2 - 1/3*c**5 + 1/3*c.
-c*(c - 1)**3*(c + 1)/3
Let l(r) = 25*r**3 - 85*r**2 + 50*r + 20. Let z = 135 - 115. Let k(m) = m + 1. Let n(o) = z*k(o) - l(o). Factor n(b).
-5*b*(b - 3)*(5*b - 2)
Suppose -95*d - 1218 = -66*d. Let p = 42 + d. Factor 0*x**2 + 0*x - 3/8*x**4 - 3/4*x**3 + p.
-3*x**3*(x + 2)/8
Suppose 114 + 618 = 12*n. Let k = -58 + n. Factor 31*q - 5*q**2 - 3*q**2 + 4*q + k*q**2.
-5*q*(q - 7)
Factor 2500*f + 15*f**3 + 181*f**2 + 133*f**2 - 63*f**2 + 39*f**2 + 270*f**2 - 1920.
5*(f + 6)*(f + 32)*(3*f - 2)
Let p = -806476/17 + 47440. What is o in 