2*r**2 - 145*r - 3*r**2 - 346 - 159 = 0. Calculate r.
-24, -5
Let g(z) = -2*z**2 - 2*z - 2. Suppose 0*j = -3*j. Suppose w + j = -4. Let i(t) = 4*t**2 + 3*t + 4. Let s(x) = w*i(x) - 10*g(x). Factor s(r).
4*(r + 1)**2
Let u(a) be the second derivative of a**5/100 + 71*a**4/60 + 259*a**3/6 + 245*a**2/2 - 3777*a. Factor u(v).
(v + 1)*(v + 35)**2/5
Let k be (2236/39 - -6)*(-21)/((-3465)/22). Factor k*d - 4/9*d**2 + 56/3.
-4*(d - 21)*(d + 2)/9
Determine o so that 63*o**4 - 34*o - 201 + 23709*o**3 - o**5 - 187*o**2 - 23886*o**3 + 448*o + 561 = 0.
-1, 2, 3, 60
Let r(c) = c**2 + 1913*c + 1914. Let d be r(-1). Suppose 1/4*k**d + 3*k + 11/4 = 0. What is k?
-11, -1
Let x(f) be the second derivative of 5*f**7/252 - f**6/9 - f**5/12 + 5*f**4/9 + 5*f**3/36 - 5*f**2/3 + 1132*f. Solve x(n) = 0 for n.
-1, 1, 4
Let g(u) be the third derivative of -u**5/210 - 17*u**4/28 - 50*u**3/21 + 3257*u**2. Factor g(s).
-2*(s + 1)*(s + 50)/7
Let v(q) be the first derivative of 0*q**2 - 2/3*q**6 - 40 + 0*q + 0*q**3 - 8/5*q**5 - q**4. Determine a so that v(a) = 0.
-1, 0
Find o, given that -1/3*o**2 - 22/3*o + 320/3 = 0.
-32, 10
Suppose 0 = -2*f + 2*u - 26 + 30, 0 = -4*f + 7*u + 2. Determine n, given that -6*n + 1/2*n**3 + f*n**2 - 1/2*n**4 + 0 = 0.
-3, 0, 2
Let r be ((-35)/(-4))/(1/4). Factor 350*p**2 + 16 + 20 - 351*p**2 - r*p.
-(p - 1)*(p + 36)
Let q(w) be the first derivative of -11*w**4/24 - 185*w**3/18 - 71*w**2/6 + 16*w/3 - 3380. Factor q(h).
-(h + 1)*(h + 16)*(11*h - 2)/6
Suppose 5*p + 100 = -5*f, 7 = -f + 4*p - 8. Let z = f + 161/8. Find s, given that -15/8*s + z*s**3 - 3/2*s**2 + 3/4 = 0.
-1, 1/3, 2
Let m(r) be the second derivative of r**4/27 - 1120*r**3/27 + 1249*r. Solve m(k) = 0 for k.
0, 560
Let a be ((-8)/5)/((-48)/20 - -2). Factor -48*u**2 + 4*u + a*u - 28*u**3 - 27*u + 8 + 7*u.
-4*(u + 1)**2*(7*u - 2)
Suppose 0 = -5*t - 2*u + 9, 34*u = -4*t + 33*u + 9. Let z(n) be the first derivative of 1/12*n**t - 2*n - 1/4*n**2 + 31. Factor z(v).
(v - 4)*(v + 2)/4
Find s such that -6*s**3 + 33*s**2 - 4*s**4 + 14*s**2 - 74*s**2 + 5*s**4 = 0.
-3, 0, 9
Let -15857*v + 1568544 - 478608 + v**3 - 2087*v**2 + 1103705*v = 0. Calculate v.
-1, 1044
Let v(q) be the second derivative of -19*q + 1 - 2/7*q**3 + 2/21*q**4 + 0*q**2 + 1/35*q**5. Suppose v(d) = 0. Calculate d.
-3, 0, 1
Suppose -6 = 5*z - 7*z. Let c(u) = u**3 - 4*u**2 + u - 1. Let v be c(4). What is b in -2*b**3 + 4*b**5 + 0*b**v - 2*b**z = 0?
-1, 0, 1
Let h be (55/(-22))/((-1)/2) + -1. Let t(f) be the first derivative of 2/3*f**2 - 10 + 0*f + 1/12*f**h + 4/9*f**3. Factor t(v).
v*(v + 2)**2/3
Factor 22/7*y + 4/7 - 10/7*y**3 + 8/7*y**2.
-2*(y - 2)*(y + 1)*(5*y + 1)/7
Let m = 1282704/5 + -256540. Factor -m*b**3 + 8 - 12/5*b - 24/5*b**2.
-4*(b - 1)*(b + 2)*(b + 5)/5
Find x such that -2 - 81/4*x**5 - 72*x**4 + 13*x - 265/4*x**3 + 1/2*x**2 = 0.
-2, -1, 2/9
Let f(a) be the third derivative of 7*a**6/480 + 41*a**5/32 + 29*a**4/16 - 3*a**3 + 106*a**2. Let r(n) be the first derivative of f(n). Factor r(c).
3*(c + 29)*(7*c + 2)/4
Determine x, given that 5/3*x**2 - 100 + 140/3*x = 0.
-30, 2
Let p(z) be the third derivative of -1 + 0*z + 7/15*z**4 + 8/5*z**3 + 1/15*z**5 + 1/300*z**6 - 114*z**2. Let p(h) = 0. Calculate h.
-6, -2
Let u be (1378/159)/((-39)/(-9)). Let b(l) be the second derivative of -5/36*l**4 - 160/3*l**2 + 40/9*l**3 + 0 - u*l. Find o such that b(o) = 0.
8
Factor -5*r**3 - 2*r**2 - 8*r**3 + 17*r**3 + 40*r - 6*r**3.
-2*r*(r - 4)*(r + 5)
Let x(g) = -9*g**2 - 1335*g - 1340. Let a(d) = -25*d**2 - 2670*d - 2680. Let h(t) = -2*a(t) + 5*x(t). Factor h(s).
5*(s - 268)*(s + 1)
Let q = 69841 + -69841. What is b in 2/5*b**4 + q + 0*b + 0*b**2 - 4/5*b**3 = 0?
0, 2
Let c(t) be the second derivative of t**7/84 + 101*t**6/60 - 21*t**5/8 - 301*t**4/24 + 127*t**3/3 - 51*t**2 - 164*t. Factor c(k).
(k - 1)**3*(k + 2)*(k + 102)/2
Suppose -2951*l = -2931*l. Let x(q) be the second derivative of l - 3*q**2 + 1/10*q**5 - 11*q - 5/6*q**4 + 7/3*q**3. Factor x(r).
2*(r - 3)*(r - 1)**2
Let z(w) be the second derivative of 0 + 38*w - 25/12*w**4 + 0*w**2 - 5/3*w**3 - 1/6*w**6 - w**5. Factor z(r).
-5*r*(r + 1)**2*(r + 2)
Factor 1/6*o**3 + 13/2 - 29/6*o - 11/6*o**2.
(o - 13)*(o - 1)*(o + 3)/6
Find t, given that 3/2*t**2 - 30*t + 96 = 0.
4, 16
Let r(x) be the third derivative of -x**5/100 - 39*x**4/5 - 927*x**3/10 + 3245*x**2. Factor r(n).
-3*(n + 3)*(n + 309)/5
Suppose 4*w - 26 = -2*q, 0*w - w - 5*q = -20. Suppose -u - 2*u + 2*c = -19, 25 = 3*u - w*c. Factor -45 + 21 - u*y**2 + 18 - 50*y - 119.
-5*(y + 5)**2
Let h(r) be the first derivative of 4*r**3/3 + 1134*r**2 - 2272*r + 3302. Factor h(c).
4*(c - 1)*(c + 568)
Factor -2040/7*i - 3/7*i**2 - 346800/7.
-3*(i + 340)**2/7
Let z(c) be the third derivative of 7*c**6/40 - 17*c**5/10 - 173*c**4/8 - 12*c**3 - 7*c**2 + 36. Factor z(g).
3*(g - 8)*(g + 3)*(7*g + 1)
Let x = 768 + -711. Factor -x*w**3 - w**3 + 22*w**3 + 10*w**2 - 2*w**2.
-4*w**2*(9*w - 2)
What is x in -26*x**2 + 0 - 1/2*x**3 + 0*x = 0?
-52, 0
Let k(f) be the second derivative of 25/6*f**4 - 1 + 51*f + 125/6*f**3 + 0*f**2 - 6*f**5 - 5/3*f**6 - 5/42*f**7. What is v in k(v) = 0?
-5, -1, 0, 1
Let d(c) be the second derivative of -1 + 0*c**3 + c**4 + 12/5*c**5 + 0*c**2 + 15*c + 7/10*c**6. Factor d(t).
3*t**2*(t + 2)*(7*t + 2)
Find b, given that 12720*b + 9167075*b**5 + 1390*b**3 - 94*b**4 - 3534*b**2 - 9167073*b**5 - 7200 - 3284*b**2 = 0.
1, 3, 20
Let o = 928 - 795. Suppose 0 = -13*n - 81 + o. Determine y so that 4/3*y**5 - 7/3*y**n + 0 - 2*y**3 + 2/3*y + 7/3*y**2 = 0.
-1, -1/4, 0, 1, 2
Let a(w) = -4*w**2 + 5389*w - 1817197. Let q(d) = 20*d**2 - 26946*d + 9085954. Let c(b) = -14*a(b) - 3*q(b). Factor c(g).
-4*(g - 674)**2
Suppose -4*k + 32 - 12 = -3*j, 3*j - 5 = -k. Suppose j*h - h - 2 = 4*l, 1 = -l. Let -1/7*z**h + 0 + 0*z = 0. What is z?
0
Let g be 376/40 - 3/(-5). Let o(x) be the first derivative of g*x - 15/2*x**2 + 5/3*x**3 + 5. Factor o(c).
5*(c - 2)*(c - 1)
Let b(z) = -2*z + 30. Let d be b(12). Find u, given that d + u + 16*u**2 + 2*u - 19*u**2 = 0.
-1, 2
Let y be (-17793)/24 + (-81)/(-216). Let g = y + 744. What is b in 0*b + 0 - 4/3*b**2 + 38/3*b**g = 0?
0, 2/19
Factor 2/9 + 600608/9*b**2 + 2192/9*b.
2*(548*b + 1)**2/9
Suppose -u - 8 + 10 = 0. Suppose -2*m = -u*m + 8*m. Factor m*z**2 - 48*z + 81 + 63 + 4*z**2.
4*(z - 6)**2
Let o = -113950 + 1025551/9. Find b, given that -4/9*b - 1/9*b**4 + 4/9*b**3 + 0 + o*b**2 = 0.
-1, 0, 1, 4
Suppose 4*h**2 + 1400 + 14*h**2 + 0*h**2 - 305*h - 12*h**2 - h**2 = 0. Calculate h.
5, 56
Let n(l) be the second derivative of l**4/24 + 3*l**3/4 + 9*l**2/2 - 311*l + 3. Factor n(p).
(p + 3)*(p + 6)/2
Let k(s) be the first derivative of -s**6/45 + 4*s**5/15 + s**4/30 - 4*s**3/9 - 831. Find i, given that k(i) = 0.
-1, 0, 1, 10
Let q(m) be the third derivative of m**5/390 + 119*m**4/78 - 239*m**3/39 - 12*m**2 - 43. Let q(b) = 0. Calculate b.
-239, 1
Let l(a) be the third derivative of -a**5/150 - 73*a**4/60 - 104*a**3/3 + 3*a**2 + 577*a. Suppose l(d) = 0. What is d?
-65, -8
Solve -230/13*o - 300/13 + 38/13*o**3 + 2/13*o**4 + 106/13*o**2 = 0.
-15, -5, -1, 2
Let f(l) be the second derivative of l**6/75 - l**5/10 - 23*l**4/10 + 329*l**3/15 + 392*l**2/5 + 9*l + 59. Factor f(d).
2*(d - 7)**2*(d + 1)*(d + 8)/5
Let p(m) be the first derivative of 10/7*m**2 + 1/28*m**4 + 8/21*m**3 + 136 + 16/7*m. Let p(y) = 0. Calculate y.
-4, -2
Suppose -10 = -2*v + c, 16*c = -v + 14*c. Suppose -4*h = -4*y + 2*y - 16, y + h = v. Solve 23/2*d**3 + 7/2*d**4 + y*d + 0 + 3*d**2 = 0.
-3, -2/7, 0
Factor 5324/9 - 2/9*i**3 + 242/3*i + 0*i**2.
-2*(i - 22)*(i + 11)**2/9
Let f(g) be the third derivative of g**6/1260 + 4*g**5/35 + 89*g**4/84 - 340*g**3/63 - 21*g**2 - 40. Factor f(q).
2*(q - 1)*(q + 5)*(q + 68)/21
Suppose -2*t = -528 + 510. Let f be (1 - 0)*(4 + 5 - t). Find q, given that -2/5*q**3 + 8/5*q**2 + f*q + 0 - 1/5*q**5 - q**4 = 0.
-4, -2, 0, 1
Let w(g) be the third derivative of -g**8/1848 + g**7/165 + 13*g**6/660 - 43*g**5/330 + 2*g**4/11 - 1335*g**2. Suppose w(f) = 0. What is f?
-3, 0, 1, 8
Let r(n) be the second derivative of -n**7/252 - n**6/36 + 3*n**5/40 + 77*n**4/72 + 28*n**3/9 + 4*n**2 - 374*n. Determine c, given that r(c) = 0.
-4, -3, -1, 4
Let d(a) be the first derivative of a**7/3780 + a**6/540 - a**5/135 - 7*a**3 - 11. Let c(m) be t