*(5*g - 2)/5
Suppose -5046*p - 22 = -5072*p + 4. Factor 1/5*h**2 - 6/5*h + p.
(h - 5)*(h - 1)/5
Let q(w) be the third derivative of -w**7/21 + 443*w**6/24 - 221*w**5/12 - 40*w**2 + 4. Factor q(f).
-5*f**2*(f - 221)*(2*f - 1)
Let h be (4/((-4)/(-3)))/(54/(-19692)). Let w = -1094 - h. Determine k so that -1/2*k**2 + w + 4*k = 0.
0, 8
Let z(m) be the first derivative of -m**6/420 - m**5/42 - m**4/14 + 24*m**2 - 306. Let x(f) be the second derivative of z(f). Let x(u) = 0. What is u?
-3, -2, 0
Let p = 526901 + -526897. Find r, given that 4*r + 7/3*r**p - 11/3*r**2 - 4*r**3 + 4/3 = 0.
-1, -2/7, 1, 2
Let d(x) be the third derivative of x**5/12 - 215*x**4/24 + 275*x**3 - 698*x**2. Suppose d(a) = 0. What is a?
10, 33
What is h in 52*h**2 + 90*h - 27*h**2 - 26*h**2 - 26*h = 0?
0, 64
Let n = -10479 - -10484. Let f(t) be the third derivative of 0*t - 8/3*t**3 + 0 - 30*t**2 + 7/15*t**n - 1/2*t**4. Suppose f(p) = 0. Calculate p.
-4/7, 1
Let r = -202952/5661 + 46/629. Let a = r - -1673/45. Factor 0 + 2/5*s - 1/5*s**2 - 3*s**3 - a*s**5 - 19/5*s**4.
-s*(s + 1)**3*(7*s - 2)/5
Let j(d) be the second derivative of 5*d**4/36 - 1685*d**3/9 + 567845*d**2/6 + 376*d. Solve j(c) = 0.
337
Let d(s) be the third derivative of s**5/300 + 7*s**4/60 - 17*s**3/10 - 2953*s**2. Factor d(r).
(r - 3)*(r + 17)/5
Let a = 92 - 86. Let w = a + 14. Determine k, given that 8*k - w*k - k**2 - 4 + 16*k = 0.
2
Let r(f) be the second derivative of -1/220*f**5 - 1/66*f**4 + 101*f + 1/11*f**2 + 1/66*f**3 + 0. Let r(w) = 0. Calculate w.
-2, -1, 1
Suppose 208 = -2*l - 2*l. Let j = 54 + l. Factor -93*o**j + 97*o**2 - o**3 - o**3.
-2*o**2*(o - 2)
Let u(i) be the first derivative of -800*i**2 + 5000/3*i - 147 - 1/6*i**4 - 22*i**3. Find h such that u(h) = 0.
-50, 1
Factor -3/7*v**3 - 3/7*v - 6/7*v**2 + 0.
-3*v*(v + 1)**2/7
Let n(r) = 7*r**2 - r - 6. Let l(b) = 8*b**2 - 7. Let j(u) = -4*l(u) + 5*n(u). Let c be j(-1). Factor z**2 - c*z**4 - z + 11*z**4 - 6*z**4 + z**3.
-z*(z - 1)**2*(z + 1)
Factor 320*s + 0 - 96*s**2 + 9*s**3 - 1/4*s**4.
-s*(s - 20)*(s - 8)**2/4
Let v(q) be the first derivative of -45/2*q**3 + 1 - 45/4*q**4 + 0*q - 135/8*q**2 - 5/2*q**5 - 5/24*q**6. Factor v(w).
-5*w*(w + 1)*(w + 3)**3/4
Let v(y) = -2*y**2 - 36*y - 107. Let r be v(-14). Let m(g) be the second derivative of 0*g**2 - 2/57*g**3 + 0 + 1/38*g**4 + r*g + 1/95*g**5. Factor m(c).
2*c*(c + 2)*(2*c - 1)/19
Let f(x) be the second derivative of -x**7/231 + 31*x**6/55 - 1104*x**5/55 + 1058*x**4/33 - 1262*x. Factor f(m).
-2*m**2*(m - 46)**2*(m - 1)/11
Let u be ((-35)/(-3 + -4))/((-2)/(-2)). Find k, given that u*k**3 - 135*k**2 + 297*k**2 - 20 - 147*k**2 = 0.
-2, 1
Let z(f) be the third derivative of -3*f**2 + 1/96*f**4 + 0*f - 1 + 1/4*f**3 - 1/240*f**5. Suppose z(w) = 0. Calculate w.
-2, 3
Suppose -4*c - 6 = -p, 0 = 2*p + 20*c - 23*c - 17. Let i(a) = -a + 50. Let y be i(p). Factor -y*r - 20/3*r**3 - 24 - 2/3*r**4 - 74/3*r**2.
-2*(r + 2)**2*(r + 3)**2/3
Let c be ((-24)/2)/(400/1120*-14). Factor 12/5*t - c - 3/5*t**2.
-3*(t - 2)**2/5
Let o(i) be the first derivative of i**5/10 - 8*i**4 - 337*i**3/6 - 137*i**2 - 138*i + 3509. Suppose o(c) = 0. Calculate c.
-2, -1, 69
Let f be ((6/270)/(90/(-405)))/(1/(-35)). Factor -2*b + f*b**2 - 5/4*b**4 + 17/4*b**3 + 0.
-b*(b - 4)*(b + 1)*(5*b - 2)/4
Let x be 9*14/(-1008)*-56. Let g(d) be the third derivative of 40*d**2 + 0 + 0*d**3 + 1/168*d**x - 1/192*d**8 + 0*d + 0*d**4 + 0*d**5 + 1/240*d**6. Factor g(y).
-y**3*(y - 1)*(7*y + 2)/4
Let d(c) = -c**3 + 19*c**2 - 21*c + 49. Let i be d(18). Let r be (0 - i - (-3 - 1)) + -7. Factor -2/7*s**4 + 4/7*s + 0*s**r + 2/7 - 4/7*s**3.
-2*(s - 1)*(s + 1)**3/7
Let w(c) be the third derivative of c**6/480 + 461*c**5/80 + 212521*c**4/32 + 97972181*c**3/24 + 96*c**2 + c. Solve w(n) = 0 for n.
-461
Let k be ((-24)/16)/(((-21)/28)/3*2). Find r, given that -2*r**k - 10/7 - 34/7*r - 38/7*r**2 = 0.
-1, -5/7
Let r(y) = y**3 + 2*y**2 - y. Let c be r(1). Suppose -4*q + n = -14, 23*q - 3*n - 28 = 18*q. Factor -q*i**4 + 0 - 5/2*i**c + 11/2*i**3 - i.
-i*(i - 2)*(i - 1)*(4*i + 1)/2
Let s be 445/(-11) - (479 - 520). Determine m so that 0 + s*m + 26/11*m**2 + 8/11*m**4 + 32/11*m**3 = 0.
-3, -1/2, 0
Let m(p) = 2*p**2 + 52*p - 50. Let z be m(-27). Factor 7*u**z + 81*u + 541*u**3 - 574*u**3 + 45*u**2 - 4*u**4.
3*u*(u - 9)*(u - 3)*(u + 1)
Let a(m) be the first derivative of 1/48*m**4 + 10 - 3/8*m**2 + 1/12*m**3 + m. Let g(r) be the first derivative of a(r). Factor g(h).
(h - 1)*(h + 3)/4
Factor 132*d + 4/9*d**3 + 192 + 24*d**2.
4*(d + 3)**2*(d + 48)/9
Find m, given that -6*m**2 + 0 - 3/2*m**3 + 18*m = 0.
-6, 0, 2
Suppose -3*v - 1 = 23. Let q = 149 + v. Factor 66*u**4 + 112*u + 268*u**2 + q*u**4 + 28*u**5 + 292*u**3 - 59*u**4 + 16.
4*(u + 1)**3*(u + 2)*(7*u + 2)
Suppose -119*d - 154 = 67*d - 712. Solve 1/4*n**d + 0*n**2 - 7/4*n + 3/2 = 0.
-3, 1, 2
Let u(h) = 5*h**3 - 253*h**2 - 770*h - 446. Let a(v) = -6*v**3 + 252*v**2 + 770*v + 435. Let l(p) = 6*a(p) + 7*u(p). Solve l(w) = 0 for w.
-256, -2, -1
Let k(r) be the second derivative of 2*r**7/147 + r**6/5 + 29*r**5/35 + 4*r**4/7 - 3581*r. Let k(p) = 0. What is p?
-6, -4, -1/2, 0
Let g be (-15*30/160)/((-25)/10 - -1). Find x, given that -225/8 + 3/8*x**3 + 21/8*x**2 - g*x = 0.
-5, 3
Let z(o) be the third derivative of -o**5/3 - 865*o**4/8 - 645*o**3/2 - 6*o**2 - 102. Factor z(n).
-5*(n + 129)*(4*n + 3)
Let v(a) be the third derivative of -a**6/6 - 173*a**5/12 + 665*a**4/24 + 110*a**3/3 + 4*a**2 + 3. Factor v(q).
-5*(q - 1)*(q + 44)*(4*q + 1)
Let g(p) be the first derivative of -3*p**4/20 - 13*p**3/10 - 6*p**2/5 - 53*p - 95. Let j(x) be the first derivative of g(x). Determine y so that j(y) = 0.
-4, -1/3
Factor 2764800/7 - 5760/7*t + 3/7*t**2.
3*(t - 960)**2/7
Suppose -3608082 = 17*s - 3608116. Factor -18/5*m**3 - 4/5*m - s*m**4 - 2/5*m**5 + 0 - 14/5*m**2.
-2*m*(m + 1)**3*(m + 2)/5
Factor 980/3 + 979/3*m - 1/3*m**2.
-(m - 980)*(m + 1)/3
Let i = -27090 + 27090. Factor -2/11*f**3 + i + 2/11*f + 0*f**2.
-2*f*(f - 1)*(f + 1)/11
Let v = -32525 + 32529. Let y**2 + 7/3*y**4 - v*y**3 + 2/3*y + 0 = 0. Calculate y.
-2/7, 0, 1
Let w = -49 + 55. Let g be 671/363 - w/33. What is u in -5 - 20/3*u - g*u**2 = 0?
-3, -1
Suppose -2612*f + 4122 = -8938. Find t, given that 2/3*t**3 + 0 + 0*t**2 + 0*t + 1/6*t**f + 2/3*t**4 = 0.
-2, 0
Let z = -207/97 - 92861/485. Let d = z - -194. Factor 4/5*f**2 + 0 + 0*f - d*f**4 - 2/5*f**3.
-2*f**2*(f - 1)*(f + 2)/5
Let v(d) be the third derivative of 7*d**3 - 229*d**2 + 0*d - 5/8*d**4 + 0 - 1/20*d**5. Determine u so that v(u) = 0.
-7, 2
Let q(p) = 9*p**3 + 1543*p**2 - 4481*p - 1226. Let b(g) = -2*g**3 - 309*g**2 + 896*g + 245. Let k(a) = -11*b(a) - 2*q(a). Factor k(d).
(d - 3)*(d + 81)*(4*d + 1)
Suppose -9*u - 914 = -1013. Let t(n) be the first derivative of 0*n**2 + 0*n**3 - u + 0*n + 0*n**5 - 1/21*n**6 + 1/14*n**4. Factor t(s).
-2*s**3*(s - 1)*(s + 1)/7
Let k = 1124 - 1120. Let f(o) be the second derivative of -1/20*o**5 - 22*o + 0 + 1/6*o**k + 0*o**2 + 1/2*o**3. Factor f(w).
-w*(w - 3)*(w + 1)
Factor 2/5*x**2 + 5956/5*x + 4434242/5.
2*(x + 1489)**2/5
Let k(s) be the third derivative of s**6/660 + 811*s**5/330 + 41410*s**4/33 + 163216*s**3/11 + s**2 + 2615*s. Let k(a) = 0. What is a?
-404, -3
Let j(r) = 58*r**3 - 4*r**2 - 4*r + 9. Let f be j(5). Factor -f + 7139 - 4*a**4 + 4*a**2 + 2*a**5 - 2*a**3.
2*a**2*(a - 2)*(a - 1)*(a + 1)
Let j(h) be the third derivative of h**6/12 - 86*h**5/15 + 163*h**4/5 - 384*h**3/5 + 27*h**2 - 25. Factor j(f).
2*(f - 32)*(5*f - 6)**2/5
Suppose 0*a - 3*a + 20 = 4*y, 0 = -4*a + 16. Suppose 0 = 5*o - 3*o + r, 0 = y*r + 8. Factor 7*m + m**2 + 11*m + 3*m**o + 6*m + 36.
4*(m + 3)**2
Suppose 12*w = 9*w - 4*n + 22, -4*w = -4*n + 8. Factor -7 - 4 + 4*k - 18*k - 49*k**w + 10.
-(7*k + 1)**2
Let b(m) be the first derivative of -m**5/25 - 121*m**4/10 + 244*m**3/5 - 367*m**2/5 + 49*m - 974. Let b(l) = 0. What is l?
-245, 1
Let 60/19*o**2 - 214/19*o + 156/19 - 2/19*o**3 = 0. Calculate o.
1, 3, 26
Let s(p) be the second derivative of p**5/20 - 2521*p**4/48 + 66255*p**3/4 - 99225*p**2/8 - 176*p - 2. Factor s(b).
(b - 315)**2*(4*b - 1)/4
Suppose 0 = -2*a - 2*f + 1142, -2*a = -f + 376 - 1527. Let y = a + -2868/5. Determine j so that 2/5*j - y*j**3 - 3/5*j**4 - 1/5 + 4/5*j**2 = 0.
-1, 1/3, 1
Let m(q) be 