Calculate a.
0, 3/4, 2
Let q = 100387/3 - 33462. Let l = -8 - -10. Factor -q*h**l + 1/3*h + 0.
-h*(h - 1)/3
Let t(r) = 15*r**2 - 264*r - 1 + 264*r - 5*r**2. Let h be t(-1). Factor h + 16 - 28 + 3*n**2.
3*(n - 1)*(n + 1)
Suppose 0 = 7*n - 2*n + 2*v - 310, 0 = 4*n + 3*v - 255. Suppose 15*s = 3*s + n. Suppose -2 - 2 + 15*d + 5 + 9 - s*d**3 = 0. What is d?
-1, 2
Let d = -2452 + 1318. Let o = 1136 + d. Factor j + 1/4*j**4 + 3/2*j**3 + 0 + 9/4*j**o.
j*(j + 1)**2*(j + 4)/4
Let m(u) = 7*u**4 + 52*u**3 + 53*u**2 - 46*u + 3. Let f(k) = 50*k**4 + 366*k**3 + 370*k**2 - 324*k + 22. Let l(s) = -3*f(s) + 22*m(s). Factor l(a).
2*a*(a + 2)*(a + 10)*(2*a - 1)
Let a = 1671 - 1667. Let p(w) be the third derivative of -5*w**2 + 0*w + 0*w**3 + 0 + 1/40*w**5 + 1/24*w**a + 1/240*w**6. Factor p(m).
m*(m + 1)*(m + 2)/2
Let z(p) = 4*p**5 + 4*p**4 - 11*p**3 - 5*p**2 + 7*p - 32. Let x(b) = -b**2 - 10. Let l(v) = -6*x(v) + 2*z(v). Solve l(r) = 0.
-2, -1, 1/2, 1
Let 974/3 - 1/3*x**2 + 485/3*x = 0. What is x?
-2, 487
Suppose 54*l = 4118 - 3902. Let 0*w + 0*w**l + 0*w**2 - 1/8*w**5 + 0 + 1/8*w**3 = 0. Calculate w.
-1, 0, 1
Suppose 4838578*d - 13401091 + 3*d**3 + 620825*d + 13401091 - 8094*d**2 = 0. Calculate d.
0, 1349
Let f = 403 + -369. Factor 45*r - 70 - 3*r**4 - f*r**3 + 20*r + 30*r - 2*r**4 - r**3 + 15*r**2.
-5*(r - 1)**2*(r + 2)*(r + 7)
Let s = 37279/4 + -9319. What is x in 0*x**3 - 48*x - 18*x**2 - 36 + s*x**4 = 0?
-2, 6
Let l(v) = -2*v**2 + 2. Let t(r) = -4*r**2 + 4. Let u = 51 + -47. Let y be u + -6 + -11 + 4. Let j(h) = y*l(h) + 4*t(h). Factor j(k).
2*(k - 1)*(k + 1)
Let l(d) be the second derivative of -2/3*d**3 + d**4 - 3*d - 13/20*d**5 + 0*d**2 + 1/5*d**6 - 1/42*d**7 + 25. Suppose l(x) = 0. Calculate x.
0, 1, 2
Let d be (-36)/147*((-120)/(-110) - 505/110). Factor 2/7*y**2 + 10/7*y + d - 2/7*y**3.
-2*(y - 3)*(y + 1)**2/7
Let f(x) be the third derivative of x**5/420 - 283*x**4/84 + 565*x**3/42 + 1590*x**2. Find b such that f(b) = 0.
1, 565
Factor -1/4*s**2 - 55*s + 221/4.
-(s - 1)*(s + 221)/4
Suppose 16*n + 136*n**2 - 47 + 12*n**3 + 100*n + 61*n - 113 - 33*n = 0. What is n?
-10, -2, 2/3
Let k = -109 - -298. What is j in -199*j + 35*j**2 - 30*j**4 - 10*j**3 + 15*j**4 + k*j = 0?
-2, 0, 1/3, 1
Suppose m = -2*v + 13, 83 = 3*m - 2*v - 3*v. Suppose m*p = 22*p - 2. Factor 252*s**p - 249*s**2 - s - s**3 - s.
-s*(s - 2)*(s - 1)
Suppose 12*n = -16*n + 71*n + 52*n. Let j(f) be the second derivative of -1/2*f**4 + n + 3/20*f**5 + 1/2*f**3 - 5*f + 0*f**2. Factor j(i).
3*i*(i - 1)**2
Let p(d) be the third derivative of -d**5/40 + 11*d**4/8 + 555*d**3/4 + 14*d**2 + 20*d. What is k in p(k) = 0?
-15, 37
Let g(p) be the third derivative of -p**5/50 - 256*p**4/5 - 1023*p**3/5 + 2928*p**2. Determine v, given that g(v) = 0.
-1023, -1
Let m(a) be the first derivative of 2*a**3/9 + 188*a**2/3 + 248*a - 6913. Factor m(l).
2*(l + 2)*(l + 186)/3
Let q(r) be the first derivative of -23*r**3 + 29 - 3/4*r**4 + 69*r + 3/2*r**2. Factor q(m).
-3*(m - 1)*(m + 1)*(m + 23)
Let z be 13 - (-25 + 7707/168 + 9/(-1)). Find l such that z + 11/4*l**2 - l**3 - 3*l + 1/8*l**4 = 0.
1, 3
Let w(t) be the second derivative of -t**6/5 - 37*t**5/10 - 21*t**4/2 + 73*t**3/3 + 30*t**2 - 2186*t. Solve w(f) = 0.
-10, -3, -1/3, 1
Factor -3/8*b + 0 - 1/8*b**2 + 1/8*b**4 + 3/8*b**3.
b*(b - 1)*(b + 1)*(b + 3)/8
Let v(o) = 5*o**4 - 151*o**3 - 22*o**2 - 22*o - 11. Let q(u) = 4*u**4 - 121*u**3 - 18*u**2 - 18*u - 9. Let k(b) = -11*q(b) + 9*v(b). Factor k(c).
c**3*(c - 28)
Let z be 12/(-24) - (-10)/4. Suppose 4*x = -9*t + 5*t - 16, -4*x + 8 = -2*t. Suppose x - 1/2*s**4 + 1/2*s**z + 1/2*s - 1/2*s**3 = 0. What is s?
-1, 0, 1
Let j be 8 + 43 - (80 + -31). Let -8*t**3 + 20/3*t + 32/3*t**j + 4/3*t**5 - 8 - 8/3*t**4 = 0. What is t?
-2, -1, 1, 3
Let v(z) = -z**3 - 5*z**2 + 15*z + 34. Let b be v(-7). Factor -5*u**2 + 37*u - 2*u + 12 - 15 - b.
-5*(u - 6)*(u - 1)
Let h(l) = -l**3 + 789*l**2 - 52275*l + 1149984. Let s(m) = 4*m**3 - 3944*m**2 + 261376*m - 5749920. Let z(d) = -16*h(d) - 3*s(d). Factor z(n).
4*(n - 66)**3
Suppose -69/8*p + 81/2 - 3/8*p**2 = 0. Calculate p.
-27, 4
Factor -192/17*m - 168/17*m**3 - 304/17*m**2 - 36/17*m**4 + 0 - 2/17*m**5.
-2*m*(m + 2)**3*(m + 12)/17
Find d, given that 8*d**4 - 148*d**3 - 166*d**2 + 44*d**5 + 54*d**2 - 16*d + 16*d**3 + 12 - 12 = 0.
-1, -2/11, 0, 2
Let t(i) be the first derivative of -5*i**4/2 + 5*i**2 - 543. Let b(s) = -s**3 + s**2. Let r be -7 + 2/((-2)/(-2)). Let j(y) = r*b(y) + t(y). Factor j(l).
-5*l*(l - 1)*(l + 2)
Let b be (0 - (1 - -3)) + 5 + 1. Determine m so that -41 + 9*m + 23 - 51*m - 54 + 3*m**2 - 6*m**b = 0.
-12, -2
Let p(c) = c**2 + 4*c - 137. Let w be p(-15). Suppose q = -5*s - 1 + w, 3*q - s = 1. Suppose 3/2*y + 3/2*y**q - 3 = 0. Calculate y.
-2, 1
Let t(h) = 2*h**3 - 6*h**2 + 5*h - 36. Let a be t(4). Let -13/2*q**3 + 2 + 41/2*q**2 - a*q = 0. What is q?
2/13, 1, 2
Let n(x) = 3*x**4 - 2*x**2 - 2*x + 1. Let j(b) = 16*b**4 + 142*b**3 - 152*b**2 - 12*b + 6. Let z(l) = -2*j(l) + 12*n(l). Factor z(y).
4*y**2*(y - 70)*(y - 1)
Suppose -532*d = -522*d + 700. Let x be ((-492)/9)/(d/126). Suppose -12/5 - x*q - 5043/5*q**2 = 0. What is q?
-2/41
Factor 2854*p + 1292 - 3510*p + 28 - 2*p**2.
-2*(p - 2)*(p + 330)
Let j(v) = -15*v + 24. Let g be j(1). Let s be 6/g + (-266)/(-105). What is l in -16/5*l + s + 4/5*l**2 = 0?
2
Let p(m) be the first derivative of 681*m**4/16 + 1363*m**3/2 + 6147*m**2/2 + 54*m + 3617. Suppose p(c) = 0. Calculate c.
-6, -2/227
Find i such that 1/2*i**4 - 6*i - 18 + 95/2*i**2 + i**5 - 25*i**3 = 0.
-6, -1/2, 1, 2, 3
Let i(c) be the third derivative of 5*c**5/4 - 235*c**4/24 + 5*c**3 - 557*c**2. Factor i(a).
5*(a - 3)*(15*a - 2)
Let y(j) be the third derivative of -1/2688*j**8 + 1/280*j**7 + 0*j - 119*j**2 + 0*j**5 - 1/120*j**6 + 0*j**3 + 0*j**4 + 0. What is p in y(p) = 0?
0, 2, 4
Let g(q) be the third derivative of 0*q**5 - 2/7*q**3 + 0 + 1/140*q**6 - q**2 - 53*q - 3/28*q**4. Factor g(y).
6*(y - 2)*(y + 1)**2/7
Let v be (-744)/465*(1328/(-960) - (94/(-30) + 3)). Suppose 64/7 - 2/7*o**3 + 0*o - 12/7*o**v = 0. Calculate o.
-4, 2
Let r(i) be the third derivative of -i**6/420 + i**5/42 + 29*i**4/84 - 5*i**3 + 5*i**2 - 29*i. Factor r(g).
-2*(g - 7)*(g - 3)*(g + 5)/7
Suppose r - 10 = 3*r. Let w(n) = -28 - 2*n**3 + 8 + 10 + 15 + 3*n**2 + 5*n. Let t(d) = 2*d**3 - 2*d**2 - 6*d - 6. Let g(h) = r*t(h) - 6*w(h). Factor g(j).
2*j**2*(j - 4)
Let h(i) be the third derivative of i**7/2310 + i**6/660 - i**5/220 - 2457*i**2. Solve h(l) = 0.
-3, 0, 1
Let q(z) = -4*z**3 + 108*z**2 - 356*z - 448. Let h(x) = x**2 - 2*x - 2. Let c(g) = -20*h(g) + q(g). Suppose c(s) = 0. Calculate s.
-1, 6, 17
Suppose 0 = 3*p + 4*x - 29, 5*x - 51 = -4*p - 14. Factor 5*z**4 - 6*z - 12*z + p*z**3 - 6*z**2 - 6*z**2 + 6*z - 2*z**4.
3*z*(z - 2)*(z + 1)*(z + 2)
Solve 3267/4 + 2321/8*p + 7/8*p**3 - 463/8*p**2 + 1/8*p**4 = 0 for p.
-27, -2, 11
Let l be 3/12*(80/(-28) - -5). Let j(c) be the first derivative of 6/7*c**2 + 3/35*c**5 - l*c**4 - 24/7*c - 8 + 6/7*c**3. Solve j(g) = 0.
-1, 2
Let x(v) be the third derivative of -v**5/60 - 919*v**4/24 + 460*v**3/3 - v**2 - 692*v. Factor x(u).
-(u - 1)*(u + 920)
Let r = -3701 + 3701. Let s(c) be the first derivative of -3*c**5 + 4 + r*c - 15/2*c**6 + 115/4*c**4 - 65/3*c**3 + 5*c**2. Solve s(w) = 0.
-2, 0, 1/3, 1
Let k = -567/88 + 75/11. Let g be ((-2)/(-2))/((-2)/(-4)) + -2. Solve 0*t**3 - k*t + 3/4*t**4 + g + 3/8*t**5 - 3/4*t**2 = 0 for t.
-1, 0, 1
Let o be 9 + 0 - 3 - (1 + 0/(-1)). Let p(z) be the first derivative of -o + 12*z - 6*z**2 + 3*z**4 - 3/5*z**5 - 3*z**3. Determine q so that p(q) = 0.
-1, 1, 2
Suppose -29*z - 40 = -148 - 95. Let u(o) be the first derivative of z - 2/3*o**3 - 14*o**2 - 98*o. Determine k so that u(k) = 0.
-7
Factor -1/2*k**5 + 0*k + 196*k**3 - 198*k**2 - 95/2*k**4 + 0.
-k**2*(k - 2)**2*(k + 99)/2
Let q = 6880 + -6394. Let r(w) be the third derivative of -10*w**2 + q*w**3 + 1/30*w**6 + 0 + 9/5*w**5 + 0*w + 81/2*w**4. Factor r(n).
4*(n + 9)**3
Let g(y) be the third derivative of y**6/720 - y**5/15 - 17*y**4/48 - 83*y**3/6 + 35*y**2 + 2. Let j(t) be the first derivative of g(t). Factor j(u).
(u - 17)*(u + 1)/2
Let q(s) = -s**4 + 31*s**3 - 9*s**2 - 95*s - 54. Let v(p) = 9*p**4 - 249*p**3 + 72*p**2 + 762*p + 432. Let h(y) = -33*q(y) - 4*v(y). Factor h(