40)/1070)). Suppose 30/13 + d*u - 2/13*u**2 = 0. Calculate u.
-1, 15
Suppose 5*g + 72 = -k, 32386*k - 32384*k = g + 21. Factor -6/5*z**2 + 0 + 4/5*z + 2/5*z**k.
2*z*(z - 2)*(z - 1)/5
Determine a so that -87*a**2 + 171*a**3 - 13 + 13 - 135723*a**5 + 135720*a**5 - 81*a**4 = 0.
-29, 0, 1
Determine j so that 0*j**2 - 4/11 - 6/11*j + 2/11*j**3 = 0.
-1, 2
Let x(s) = -3*s**3 + 187*s**2 - 173*s - 348. Let d(r) = 3*r**3 - 185*r**2 + 172*r + 348. Let y(l) = 5*d(l) + 4*x(l). Factor y(f).
3*(f - 58)*(f - 2)*(f + 1)
Let d be -5 - (3/(-2))/((-2)/(-8)). Let u be (((-28)/392)/((-2)/7))/d. Factor -1/2*p**4 + 0 + u*p**5 + p**2 + p - 3/4*p**3.
p*(p - 2)**2*(p + 1)**2/4
Let b(h) = -h + 11. Let c be b(7). Suppose 0 = -9*d + c*d + 15. Factor -21*n + 10*n**2 + 5*n + 50*n**d - 7*n - 9*n + 8.
2*(n + 1)*(5*n - 2)**2
Suppose 5*j + 4*p + 2 = 8*j, -4*j - p + 9 = 0. Factor 3*d**4 + d**4 - 315*d**j - 7*d**4 - 2*d**4 - 75*d**3 - 245*d.
-5*d*(d + 1)*(d + 7)**2
Let j(r) be the third derivative of 2*r**7/945 - r**6/180 - 2*r**5/135 + r**4/36 + 2*r**3/27 - 2*r**2 + 353*r. Determine v, given that j(v) = 0.
-1, -1/2, 1, 2
Suppose 0 = 5*j - 0*j - 105. Solve -28*q**2 + 74*q**2 - 29*q**2 - j*q**2 - 2*q - 2*q**3 = 0 for q.
-1, 0
What is c in 3147/2*c + 0 + 3/2*c**2 = 0?
-1049, 0
Let d = 23554 + -164860/7. Factor 48/7*h**3 + 0*h + 2/7*h**5 + d*h**4 + 0 + 32/7*h**2.
2*h**2*(h + 1)*(h + 4)**2/7
Let l(n) be the first derivative of 2*n**3/15 - 1708*n**2/5 + 1458632*n/5 + 2658. Determine z, given that l(z) = 0.
854
Suppose -4*r = 3*h - 44, -2*h - 2*h + 2*r = -44. Let l(z) = z**3 - z - 4. Let p be l(2). Find u such that -12 + h*u**p - 21*u + 9*u**2 - 15*u = 0.
-2/7, 2
Let 158/19*c**2 + 0*c + 0 - 2/19*c**3 = 0. Calculate c.
0, 79
Let w(p) = -10*p + 720. Let h be w(71). Let z be h*(-70)/(-120)*(-1)/(-7). Find n, given that -z*n**4 - 55/2*n**2 - 40/3 - 100/3*n - 25/3*n**3 = 0.
-4, -1
Let x(z) = 13*z**3 + 462*z**2 - 1569*z - 1996. Let o(w) = 2*w**3 + 92*w**2 - 314*w - 400. Let t(l) = 11*o(l) - 2*x(l). What is q in t(q) = 0?
-1, 6, 17
Suppose -5*p + 109 - 34 = 0. Suppose p = 2*w + 3*w. Factor 12*f**w - 3*f - 9*f + 0*f**4 + 2*f**4 + 2*f**4 - 4*f**2.
4*f*(f - 1)*(f + 1)*(f + 3)
Let q = 167 - 154. Solve -95*u + q*u**4 + 85*u - 8*u**4 - 15*u**2 = 0 for u.
-1, 0, 2
Let b(t) = 273*t - 2728. Let y be b(10). Let a(s) be the second derivative of -y*s**2 - 18*s + 8/9*s**3 - 1/9*s**4 + 0. Factor a(d).
-4*(d - 3)*(d - 1)/3
Let z(u) be the second derivative of -u**5/10 - 5*u**4/6 + 22*u**3/3 - 16*u**2 + 2*u + 395. Determine g, given that z(g) = 0.
-8, 1, 2
Suppose -10 = 2*j + 5*q, 3*q + 164 - 137 = 3*j. Let l(a) be the first derivative of 0*a + 0*a**3 - 2/15*a**j + 0*a**2 - 7 + 1/6*a**4. Factor l(k).
-2*k**3*(k - 1)/3
Suppose 0 = -x + g - 11, -1 + 34 = -3*x - 4*g. Let n = x - -14. Factor -10/11*c**n + 8/11*c**4 + 4/11*c**2 + 0 + 0*c - 2/11*c**5.
-2*c**2*(c - 2)*(c - 1)**2/11
Suppose 53*y - 892 = -6457. Let r be 15/y + (-4)/(-14). Find d, given that 6/7 - r*d - 1/7*d**2 = 0.
-3, 2
Suppose 5*x + 3*c = 24, 2*c - 13 = -3*x + 2. Determine o so that 3079*o + 13821*o - 204*o**3 + 208*o**x - 520*o**2 = 0.
0, 65
Find m such that 59*m**2 - 3592*m**3 - 62*m - 252 + 3593*m**3 + 132 = 0.
-60, -1, 2
Let f(g) be the first derivative of 52*g + 4/3*g**3 + 53 - 28*g**2. Solve f(v) = 0 for v.
1, 13
Let r be 41/(-42) - (-2632)/2303. Factor 1/6*d + 0 + r*d**2.
d*(d + 1)/6
Let w be -5 + 5/(25/30). Let l(n) = -n**5 - n**4 - n**3. Let a(f) = 23*f**5 + 19*f**4 - 3*f**3. Let s(j) = w*a(j) + l(j). Factor s(r).
2*r**3*(r + 1)*(11*r - 2)
Let r(t) = -64*t - 53. Let x be r(-2). Let g be ((-2)/10)/((-2)/x). Factor g*f - 3*f**3 + 21/2*f**2 - 6.
-3*(f - 4)*(f + 1)*(2*f - 1)/2
Let p = -245687 - -245690. Let q**p + 0*q - 1/2*q**4 + 0 + 0*q**2 = 0. What is q?
0, 2
Let g be ((-25)/(-22) + -1)*9936/1863. Determine o, given that 8/11*o**2 - 2/11*o**3 + 2/11*o - g = 0.
-1, 1, 4
Let g be (-9)/(-3) + 5/((-15)/12). Let y(z) = z**3 - z**2 + z. Let m(r) = 2*r**4 - 22*r**2 + 16*r. Let c(w) = g*m(w) - 4*y(w). Let c(t) = 0. Calculate t.
-5, 0, 1, 2
Let h be -1 + -1*(0 + -4). Let t(m) be the first derivative of 2/21*m**h + 1/7*m**2 - 1/14*m**4 - 24 - 2/7*m. Factor t(f).
-2*(f - 1)**2*(f + 1)/7
Factor 0 + 120/7*d**2 - 342/7*d - 2/7*d**3.
-2*d*(d - 57)*(d - 3)/7
Let -133*d**3 - 122*d**5 + 37*d**5 - 354*d**4 + 1734*d**2 + 1153*d**3 + 44*d**5 - 1023*d - 1380 + 44*d**5 = 0. Calculate d.
-1, 1, 4, 115
Let x be (-1 - -7)/((-45)/1920). Let q be (-6 + x/(-56))/(-2). Find r, given that -q*r - 4/7*r**3 - 11/7*r**2 + 2/7 = 0.
-2, -1, 1/4
Let d(t) be the second derivative of t**5/5 + 290*t**4/3 - 595*t. Let d(f) = 0. Calculate f.
-290, 0
Let y = -7448 - -22348/3. Factor 5/3*x**4 - 8/3*x**3 + y*x**2 - 1/3*x**5 + 0*x + 0.
-x**2*(x - 2)**2*(x - 1)/3
Let g(j) = -2*j**2 + 594*j - 2303. Let x(y) = -3*y**2 + y + 3. Let f(u) = g(u) + x(u). Factor f(z).
-5*(z - 115)*(z - 4)
Suppose -4*k = q + 20 + 137, -3*k = 2*q + 114. Let b be (0/2)/(k + 38). Let 2*d**3 - 4/5*d**2 + b + 0*d = 0. What is d?
0, 2/5
Let a(k) be the second derivative of 0*k**2 + 0*k**3 + 1/255*k**6 - 95*k + 1/102*k**4 + 0 - 1/85*k**5. Factor a(y).
2*y**2*(y - 1)**2/17
Let g(p) be the third derivative of p**8/504 + 38*p**7/315 + 139*p**6/180 + 49*p**5/45 - 35*p**4/9 - 136*p**3/9 + 348*p**2 - p + 5. Suppose g(l) = 0. What is l?
-34, -2, -1, 1
Factor 295*p**2 - 2201*p**4 + 32*p**3 - 41*p**2 - 2210*p**4 + 220*p + 4409*p**4.
-2*p*(p - 22)*(p + 1)*(p + 5)
Let y = 483 + -483. Let n(d) be the third derivative of 0*d**3 - 5/6*d**4 + 1/12*d**5 + y*d + 0 - 32*d**2. Factor n(c).
5*c*(c - 4)
Solve 1/4*h - 1/4*h**3 - 611/2 + 611/2*h**2 = 0.
-1, 1, 1222
Let a(j) be the first derivative of j**7/560 - 9*j**6/320 + 27*j**5/160 - 27*j**4/64 - 9*j**2/2 + 138. Let o(b) be the second derivative of a(b). Factor o(k).
3*k*(k - 3)**3/8
Let j(c) be the third derivative of 5*c**8/336 - 17*c**7/42 - 13*c**6 - 87*c**5 - 6*c**2 - 26. Factor j(b).
5*b**2*(b - 29)*(b + 6)**2
Suppose 29*c = 28*c + 10. Factor 18*b**2 + 296 - 292 + 2*b**4 - 2*b + 16*b + c*b**3.
2*(b + 1)**3*(b + 2)
Let q be 71/((-1420)/(-120)) - ((-1552)/66)/(-4). Let h(o) be the first derivative of 1/11*o**2 + 0*o + q*o**3 + 11 + 1/22*o**4. Find p, given that h(p) = 0.
-1, 0
Let r be ((-68)/(-24))/(-17) - 7/(-6). Let w be ((-380)/304)/(-1*r). Find t, given that -5/4*t**2 - 1/4*t**5 - t + w*t**3 + 1 + 1/4*t**4 = 0.
-2, -1, 1, 2
Let i be (3 - (3 - 3)) + -1. Suppose -12*m - 373*m**2 - 8 + 183*m**2 + 186*m**i = 0. What is m?
-2, -1
Let w(u) = u**2 - u + 1. Suppose -4*i + 9 = -3*d + 2*d, -5*i = -4*d - 25. Let x(n) = -3*n**3 + 54*n**2 - 345*n + 480. Let r(c) = i*x(c) + 6*w(c). Factor r(z).
-3*(z - 9)**2*(z - 2)
Suppose -5*t + 30 = 5*u, 0 = t + t + 4*u - 18. Determine i, given that 42*i - 27*i**3 + 22*i**t - 52 + 66*i - 60*i**2 + 9*i**3 = 0.
1, 13
Let f = 335 - -427. Suppose 762 - f = -r. Factor r + 2/3*m**4 + 0*m + 4/3*m**3 + 0*m**2.
2*m**3*(m + 2)/3
Let j(w) = -3*w**3 - 229*w**2 - 4. Let f(a) = 17*a**3 + 1146*a**2 + 22. Let s(k) = 2*f(k) + 11*j(k). Suppose s(y) = 0. Calculate y.
0, 227
Let o = -147548 - -442664/3. Solve o*z - 14/3*z**2 + 0 + 2/3*z**3 = 0.
0, 2, 5
Factor -2/15*v**2 + 302/15*v + 304/15.
-2*(v - 152)*(v + 1)/15
Suppose 499*f + 3 = -45*f - 112*f + 3. Solve 4/5*j**4 + f*j**2 + 2*j - 4/5 - 2*j**3 = 0.
-1, 1/2, 1, 2
Let w = 240 + -235. Let j(a) = -13*a**3 - 6*a**2 + 8*a + 6. Let f(o) = 15*o**3 + 6*o**2 - 9*o - 6. Let n(c) = w*f(c) + 6*j(c). Solve n(z) = 0.
-2, -1, 1
Let m = 3 + 5. Factor -32 - 6*t**2 + 8 + 22*t + m.
-2*(t - 1)*(3*t - 8)
Let b(p) be the third derivative of -p**8/10080 - p**7/420 - p**6/72 + 4*p**5/5 - p**3/6 + 3*p**2 - 48*p. Let v(l) be the third derivative of b(l). Factor v(u).
-2*(u + 1)*(u + 5)
What is d in -903/4*d**2 - 27270901/4 + 271803/4*d + 1/4*d**3 = 0?
301
Factor -89/5*l + 17/5*l**2 - 21 + 1/5*l**3.
(l - 5)*(l + 1)*(l + 21)/5
Let c be (-19)/(1/(-2) + 0). Let f = 99 - c. Solve f*j + 7*j**2 - 55*j**2 + 8*j**4 + 4*j**5 + 83*j - 40*j**3 - 4*j**3 = 0 for j.
-3, 0, 2
Let n = 1/3233 + 5921/1761985. Let v = 24533/2180 - n. Find a, given that -25/4*a**3 + 35/4*a**5 + v*a**4 - 5/2*a - 45/4*a**2 + 0 = 0.
-1, -2/7, 0, 1
Let h(v) be the third derivative of v**5/140 + 75*v**4/28 - 151*v**3/14 - 21*v**2 - 2*v + 6. Factor h(q).
3*(q - 1)*(q + 151)/7
Factor -20*