 -44*z**2 - 1816*z - 19436. Let i = 210 + -178. Let l(k) = -4*k**2 - 165*k - 1767. Let w(o) = i*l(o) - 3*n(o). Factor w(j).
4*(j + 21)**2
Let j(o) be the second derivative of 0 - 7/10*o**5 + 4/3*o**3 - 2*o**4 + 0*o**2 + 101*o. Solve j(t) = 0.
-2, 0, 2/7
Let f(o) = -9*o**4 + 20*o**3 + 265*o**2 + 184*o + 4. Let q(t) = 26*t**4 - 60*t**3 - 780*t**2 - 551*t - 11. Let u(j) = -11*f(j) - 4*q(j). Factor u(s).
-5*s*(s - 9)*(s + 1)*(s + 4)
Let f = -200097 - -1596361/8. Let u = f - -552. Solve 0 + 0*w + u*w**3 + 1/8*w**2 = 0.
-1, 0
Suppose -2268 = -1377*a + 1353 - 867. Factor -4/11*b**4 + 0 - 6/11*b**a - 14/11*b**3 + 0*b.
-2*b**2*(b + 3)*(2*b + 1)/11
Let q = 11 - 9. Let g(y) = -13*y + 24*y - 8*y**q + 58*y - 25*y**2 + 5. Let t(w) = -16*w**2 + 34*w + 2. Let m(r) = 6*g(r) - 11*t(r). Factor m(l).
-2*(l - 2)*(11*l + 2)
Let -48*q**2 + 106*q**4 + 4*q - 107*q**4 - 19*q**3 + 70 + 31 - 25 - 12 = 0. What is q?
-16, -2, 1
Suppose 2*o - o = q - 4, 5*q - 16 = 3*o. Determine s so that -74*s**q + 3*s**3 + 37*s**2 + 9*s + 49*s**2 = 0.
-3, -1, 0
Let f(l) be the first derivative of -l**4/48 + 7*l**3/24 + l**2 - 26*l - 146. Let s(y) be the first derivative of f(y). Factor s(i).
-(i - 8)*(i + 1)/4
Let d be 255/10 - ((-7)/2 - -3). Determine s, given that -2*s**2 - d*s**3 - 72*s**5 - 19 + 19 - 96*s**4 = 0.
-1, -1/6, 0
Let m = -5 - -4. Let w = 405 - 390. Let c(t) = -5*t**4 - 35*t**3 - 105*t**2 - 100*t - 25. Let n(u) = -u**2 + 1. Let q(d) = m*c(d) + w*n(d). Factor q(o).
5*(o + 1)*(o + 2)**3
Let x be (8410/(-87))/58*(-18)/10. Let z(k) be the second derivative of -30*k + 1/10*k**5 - x*k**2 - 5/6*k**4 + 0 + 7/3*k**3. Let z(f) = 0. What is f?
1, 3
Let u(x) be the first derivative of -x**6/9 + 4*x**5/3 - 11*x**4/2 + 80*x**3/9 - 16*x**2/3 - 1356. Suppose u(r) = 0. Calculate r.
0, 1, 4
Let y(g) be the first derivative of g**7/168 + g**6/72 - g**5/24 - 5*g**4/24 + 2*g**3/3 - 2*g - 105. Let l(f) be the third derivative of y(f). Factor l(a).
5*(a - 1)*(a + 1)**2
Let l(n) = -n + 2 + 5*n - 2*n. Let s be l(0). Factor q**5 - 1 - q**4 + 2*q**s - 2*q**3 + 0 - 193*q + 194*q.
(q - 1)**3*(q + 1)**2
Determine p, given that -1/2*p**3 - 17/2*p**2 - 14 - 22*p = 0.
-14, -2, -1
Let z be 7/3*(205/35 - 5)/1. Let k(d) be the first derivative of -3/7*d**z - 3/28*d**4 + 3/7*d**3 + 6 + 0*d. Factor k(x).
-3*x*(x - 2)*(x - 1)/7
Let b(i) be the second derivative of i**6/210 - i**5/10 - i**4/84 + i**3/3 + 1192*i. Factor b(t).
t*(t - 14)*(t - 1)*(t + 1)/7
Let w(n) be the second derivative of n**6/45 - 10*n**5/3 - 34*n**4/3 + 908*n. Factor w(q).
2*q**2*(q - 102)*(q + 2)/3
Let q(b) be the first derivative of 4*b**2 - 12 - 1/150*b**5 - 1/60*b**4 + 0*b + 2/15*b**3. Let m(c) be the second derivative of q(c). Factor m(r).
-2*(r - 1)*(r + 2)/5
Let x(r) be the second derivative of r**4/18 - 940*r**3/9 + 313*r**2 + 3816*r. Factor x(g).
2*(g - 939)*(g - 1)/3
Let b(h) be the first derivative of h**4/3 + 32*h**3/9 + 22*h**2/3 - 80*h/3 + 304. Factor b(x).
4*(x - 1)*(x + 4)*(x + 5)/3
Let t(v) be the third derivative of v**8/16800 - v**7/2100 + v**6/900 - v**3/3 + 40*v**2. Let h(x) be the first derivative of t(x). Factor h(d).
d**2*(d - 2)**2/10
Let q(j) = 388*j**2 + 13*j - 13. Let t be q(2). Let y be ((-1)/(-5))/(3 - t/525). Factor 6*s**2 - 3 + y*s.
3*(s + 2)*(4*s - 1)/2
Let j be 210/735 + 12/(-189). Factor 0 + j*z**2 + 2/9*z.
2*z*(z + 1)/9
Suppose -5*r - 50 = -4*a, 5*r = 2*a - 0*a - 30. Suppose -g + a = 4*g, -3*w - g = -8. Solve -5*d - 84*d**2 + 20*d**4 + 36*d**3 + 64*d**w - 28*d**5 - 3*d = 0.
-1, -2/7, 0, 1
Let a(n) = n**2 + 14*n - 975. Let f be a(25). Let s(u) be the third derivative of f*u + 0*u**3 + 1/40*u**5 + 0 + 0*u**4 + 1/80*u**6 + 9*u**2. Factor s(b).
3*b**2*(b + 1)/2
Let n(m) = -m**3 + 3*m**2 + 10*m + 3. Let f be n(5). Find u, given that 27*u**2 + 52*u**3 - 51*u**f + 30*u - 16*u**2 = 0.
-6, -5, 0
Let d = 448858 + -2244287/5. Determine s so that 39/5*s**2 + 87/5*s + 9 - d*s**3 = 0.
-1, 15
Let x(a) be the second derivative of -14*a**6/45 - 359*a**5/15 - 34*a**4/3 - 94*a. Determine n so that x(n) = 0.
-51, -2/7, 0
Let c(i) be the second derivative of -i + 3/100*i**5 + 24/5*i**2 + 49 - 7/20*i**4 + 4/5*i**3. Factor c(u).
3*(u - 4)**2*(u + 1)/5
Let r(g) = -3*g**2 + 300*g - 546. Let y(m) = -2*m**2 + 295*m - 547. Let x(q) = 5*r(q) - 6*y(q). Factor x(s).
-3*(s - 2)*(s + 92)
Let i be 4 - (-3 + 28/(-1)). Suppose -o - 6*o = -i. Solve -6*h**3 + 3*h + 11 + 3*h**2 + 3*h**5 - 15*h**2 + 6*h**4 - o = 0.
-2, -1, 1
Let c = -79 - -83. Factor 12*b + 7*b**3 - 11*b**3 - c*b**2 + 4*b**4 - 8*b**3 + 0*b**2.
4*b*(b - 3)*(b - 1)*(b + 1)
Suppose -317*w + 296*w = 0. Factor w*l + 2*l**4 + 0*l**3 + 1/2*l**5 + 0*l**2 + 0.
l**4*(l + 4)/2
Let i(v) = -2*v + 12. Let z be i(6). Suppose 4*a + 10 = y - 6*y, 5*y - 3*a - 25 = z. Factor -d**3 - 3*d**3 + 2*d**3 + d**y - 2*d - 5*d**2.
-2*d*(d + 1)**2
Let p = 13 + -10. Let v = 2 + p. Suppose -5*h**3 - 20*h - 4*h**5 + 24*h**3 - 12 + 4*h**4 + 3*h**2 + 5*h**2 + v*h**3 = 0. What is h?
-1, 1, 3
Let d be 27/(-3) - (-132)/11. Find q such that -107*q**d - 605*q**2 + 75*q**3 - 4056*q - 19*q**2 - 352 - 8436 = 0.
-13/2
Let s(q) be the second derivative of -q**6/360 - 43*q**5/120 + 127*q**3/3 + 96*q. Let z(p) be the second derivative of s(p). Factor z(v).
-v*(v + 43)
Let h(y) be the second derivative of 5*y - 1/50*y**6 + 9/100*y**5 + 0*y**3 - 1/10*y**4 + 0*y**2 - 1. Suppose h(z) = 0. Calculate z.
0, 1, 2
Let h(z) be the first derivative of z**5/20 - 3*z**4/8 - 5*z**3 + z**2 + 2*z - 246. Let n(g) be the second derivative of h(g). Factor n(b).
3*(b - 5)*(b + 2)
Let b(m) be the third derivative of -m**7/315 + m**6/60 + 14*m**5/45 - 449*m**2. Solve b(c) = 0.
-4, 0, 7
Factor 94*l**2 - 2/3*l**3 - 10082/3 - 3266*l.
-2*(l - 71)**2*(l + 1)/3
Let b(g) be the third derivative of -g**6/540 - 7*g**5/90 + 2*g**4 + 180*g**3 + 2354*g**2. What is z in b(z) = 0?
-18, 15
Let h(f) be the second derivative of 0*f**2 + 0 + 0*f**3 + 1/126*f**7 + 1/3*f**4 - 217*f + 4/15*f**5 + 7/90*f**6. Factor h(k).
k**2*(k + 2)**2*(k + 3)/3
Suppose -13 = -5*c - 3*h, c = 5*c - 4*h - 4. Let i be (4/8)/((-3)/(-36)). Factor 12 - v - 4*v + v - 2*v**c + i*v.
-2*(v - 3)*(v + 2)
Let c(f) be the first derivative of -2/95*f**5 + 4/57*f**3 + 0*f**2 - 21 - 1/38*f**4 + 0*f. Find w such that c(w) = 0.
-2, 0, 1
Let r be 6 - ((-2)/(-10) + 666/120). Let b(n) be the third derivative of r*n**3 - 1/480*n**5 - 1/960*n**6 + 0*n - 2*n**2 + 0 + 1/24*n**4. Factor b(d).
-(d - 3)*(d + 2)**2/8
Let k be (-1*3)/(3/(-9)). Solve -17*g**2 + 0*g**2 - 10*g**3 + k*g**2 - 4*g**4 - 2*g = 0.
-1, -1/2, 0
Suppose 2*n - 22 = -6*m, -8*m = -1494*n + 1489*n + 9. Let i = 27/5 + -5. Factor -4/5 - 6/5*u - i*u**m.
-2*(u + 1)*(u + 2)/5
Let b = -7965991/6033 + 140/2011. Let i = 1321 + b. Factor -i*g**3 - 8/3 + 0*g + 2*g**2.
-2*(g - 2)**2*(g + 1)/3
Factor 124 - 896*x - 34 + 1692*x + 342 + 32*x**2 + 328 - 4*x**3.
-4*(x - 19)*(x + 1)*(x + 10)
Let x(m) be the first derivative of 6*m**3 + 0*m**2 + 40 + 0*m + 1/2*m**4. Factor x(t).
2*t**2*(t + 9)
Suppose 15 - 1/3*b**2 + 4*b = 0. Calculate b.
-3, 15
Let r(d) = 336*d - 1340. Let u be r(4). Let a(c) be the third derivative of 0 + 1/30*c**5 + 1/12*c**u + 0*c**3 + 0*c - 18*c**2. What is z in a(z) = 0?
-1, 0
Factor 5/3*q**2 + 3944/3*q - 263.
(q + 789)*(5*q - 1)/3
Suppose 484 + 475 - 393 = 614*s - 662. Factor -102/7*o**s + 9*o - 15/7 + 78/7*o**3 + 3/7*o**5 - 27/7*o**4.
3*(o - 5)*(o - 1)**4/7
Let k(g) = 5*g**2 + 4496*g - 1625136. Let n(r) = -r**2 - 10*r + 6. Let y(b) = -k(b) - 8*n(b). Factor y(v).
3*(v - 736)**2
Let b(v) be the second derivative of 0 + 1/132*v**4 - 9/22*v**2 - 4/33*v**3 + 85*v. Factor b(c).
(c - 9)*(c + 1)/11
Let n = -2101/399 - -201/38. Let k(z) be the third derivative of 1/6*z**6 - 1/2*z**5 + 0*z + 0 - n*z**7 - 5/6*z**3 - 17*z**2 + 5/6*z**4. Factor k(c).
-5*(c - 1)**4
Solve -1238/3*w**3 + 2/3*w**4 + 2470/3*w**2 - 1234/3*w + 0 = 0.
0, 1, 617
Suppose 0 = -28*i + 306 + 30. Let 13*x**5 + 504*x**4 + 4*x**3 - 594*x**4 - 40*x**5 + 60*x**2 - 18*x**3 - 25*x**3 - i*x = 0. What is x?
-2, 0, 1/3
Factor -280*r + 1429 - 3*r**2 + 8307 + 64 + 10*r**2 - 5*r**2.
2*(r - 70)**2
Let x(l) be the third derivative of l**5/180 - 259*l**4/18 + 134162*l**3/9 + 2*l**2 - 100. Factor x(g).
(g - 518)**2/3
Let h(x) be the second derivative of -x**5/20 - 5*x**4/6 - 10*x**3/3 + 27*x**2/2