 (1 + -4). Let g = m + 13. Solve 3/2*a**3 + 7/2*a - 4*a**2 - g = 0.
2/3, 1
Let g(j) be the third derivative of -j**7/945 + 13*j**6/270 - 49*j**5/270 + 2*j**4/9 + 87*j**2 - 2*j. Factor g(m).
-2*m*(m - 24)*(m - 1)**2/9
Let y(v) be the third derivative of 121/39*v**3 - 11/78*v**4 + 1/390*v**5 - 24*v**2 + 0 + 0*v. Factor y(r).
2*(r - 11)**2/13
Factor -3*c**3 + 5*c**2 + 4*c**2 + c**3 + 5*c**3 + 0*c + 6*c.
3*c*(c + 1)*(c + 2)
Let b = 363/380 - 27/76. Let k = -34/15 + 43/15. Factor 0 + b*m**2 - k*m.
3*m*(m - 1)/5
Factor -50/11 + 51/11*o - 1/11*o**2.
-(o - 50)*(o - 1)/11
Factor -12/5*y**2 - 1/5 + 2*y**3 + 6/5*y - 3/5*y**4.
-(y - 1)**3*(3*y - 1)/5
Suppose -2*s - 2 = 0, 32 = 5*j - 4*s + 18. Let f be (-8*j/28)/(4/(-14)). Solve 5/2*a**f + 40 + 20*a = 0.
-4
Let l(u) = u**2 - u + 45. Let f be l(13). Let y = 1411/7 - f. Solve 2/7*r + 0 + y*r**2 + 2/7*r**3 = 0.
-1, 0
Let x(a) be the first derivative of -2/5*a**2 + 22 - 2/5*a - 2/15*a**3. Factor x(i).
-2*(i + 1)**2/5
Let z(r) be the second derivative of -9*r**5/20 - 11*r**4/12 - r**3/3 - 16*r - 5. Solve z(s) = 0 for s.
-1, -2/9, 0
Let u be 2 + 0 + 1 + 1. What is h in 204*h**3 - 16*h - 184*h**3 + h**4 - 32 + 4*h**4 - h**u + 24*h**2 = 0?
-2, 1
Let o(a) be the second derivative of -a**5/160 - a**4/48 + 5*a**3/48 + 3*a**2/8 - 63*a. Factor o(g).
-(g - 2)*(g + 1)*(g + 3)/8
Let a(k) = -k**3 - 11*k**2 + 12*k. Let h be a(-12). Let y = h - -4. Suppose 2*c**4 + 2*c**4 - 2*c**y - 8*c - 8*c**3 + 12*c**2 + 2 = 0. Calculate c.
1
Let z(x) be the first derivative of -x**4 - 248*x**3/3 + 126*x**2 + 49. Let z(q) = 0. What is q?
-63, 0, 1
Let w = 93/11 + -421/55. Factor -y + w*y**2 + 1/5.
(y - 1)*(4*y - 1)/5
Suppose -4*b - 4 = -3*b. Let n(i) = 2*i**4 - 10*i**3 + 2*i**2 - 6*i. Let m(c) = -2*c**4 + 11*c**3 - c**2 + 7*c. Let x(o) = b*m(o) - 5*n(o). Factor x(l).
-2*l*(l - 1)**3
Let d(u) = -u**3 - 9*u**2 - 18*u - 10. Let g(j) = -3*j**3 - 35*j**2 - 72*j - 40. Let c(w) = 22*d(w) - 6*g(w). Factor c(h).
-4*(h - 5)*(h + 1)**2
Let d(j) = -j + 8. Let f be d(5). Suppose -5*c = -4*t - 14 - 9, c - 9 = f*t. Solve 1/3*b**c + 0 + 1/3*b**2 + 0*b = 0 for b.
-1, 0
Let k(p) be the second derivative of 1/20*p**4 + 21*p - 3/10*p**3 + 3/5*p**2 + 0. Solve k(v) = 0.
1, 2
Let a(p) be the second derivative of 3*p**5/80 + 27*p**4/4 + 729*p**3/2 - 22*p + 2. Factor a(u).
3*u*(u + 54)**2/4
Let l(v) = -4*v**2 + 5*v - 4. Let t(y) = -7*y**2 + 9*y - 8. Let d(u) = 5*l(u) - 3*t(u). Let a be d(0). Factor 0*j + 0 + 3/4*j**5 - 1/2*j**2 + 7/4*j**3 - 2*j**a.
j**2*(j - 1)**2*(3*j - 2)/4
Let h(j) be the second derivative of -j**4/4 - 22*j**3 - 202*j. Factor h(v).
-3*v*(v + 44)
Let y(t) be the first derivative of t**3/3 + 40*t**2 - 81*t + 498. Solve y(o) = 0.
-81, 1
Let g(n) = -6*n**4 + 35*n**3 + 263*n**2 - 1000*n + 722. Let q(z) = -5*z**4 + 35*z**3 + 261*z**2 - 1001*z + 722. Let i(y) = 6*g(y) - 7*q(y). Solve i(h) = 0.
-19, 1, 2
Solve -2*o**2 + 28 + 13*o + 8*o + 5*o = 0.
-1, 14
Let h = 4917 + -24584/5. Factor 4/5*o + 0 + h*o**2.
o*(o + 4)/5
Suppose r - 5*r = f + 1268, 3*r - 5*f = -951. Let s = r + 322. Factor 3/2*v**s + 0*v**4 + 0*v**2 - 3*v**3 + 0 + 3/2*v.
3*v*(v - 1)**2*(v + 1)**2/2
Suppose -83 + 95 = 4*b. Find s such that -1/5*s - 1/5 + 1/5*s**2 + 1/5*s**b = 0.
-1, 1
Let n be (-28)/1274*56/(-4). Suppose 0*q - 10/13*q**3 + 0 - n*q**2 = 0. What is q?
-2/5, 0
Let u(b) = 2*b**3 - 12*b**2 + b - 3. Let n be u(6). Let g(v) be the first derivative of -2/3*v**3 + 0*v + v**2 + n. Let g(d) = 0. Calculate d.
0, 1
Let p = 9 - 2. Let z(c) = c**3 - 7*c**2 + 4. Let k be z(p). Find l, given that -11*l + 6*l**k - 9*l**3 + 9*l**2 - 3*l**4 + 8*l = 0.
0, 1
Suppose 4*s + 4779 - 4799 = 0. Determine r, given that 0 - 5/4*r**2 + s*r = 0.
0, 4
Let w(j) be the first derivative of 2/3*j**3 + 0*j + 2/3*j**2 - 4 - 5/6*j**4. Find m, given that w(m) = 0.
-2/5, 0, 1
Let p be -1 + 3 - (-1015)/(-650). Let k = p - 1/26. Factor -2/5*r**2 + 0*r + 0 - k*r**3.
-2*r**2*(r + 1)/5
Let x(c) be the second derivative of 4*c**7 + 8/9*c**3 - 58/15*c**6 + 23*c + 0*c**2 + 8/3*c**4 + 0 - 43/15*c**5. Find f, given that x(f) = 0.
-1/2, -1/7, 0, 2/3
Let j(g) be the first derivative of -g**7/840 + g**5/40 - g**4/12 + 10*g**3 + 33. Let z(r) be the third derivative of j(r). Factor z(m).
-(m - 1)**2*(m + 2)
Let i(l) be the second derivative of -5*l**4/12 + 15*l**3/2 + 90*l**2 + 186*l. Factor i(d).
-5*(d - 12)*(d + 3)
Let k(i) = 372*i + 2976. Let g be k(-8). Factor 3/7*n**4 + g + 24/7*n + 30/7*n**3 + 51/7*n**2.
3*n*(n + 1)**2*(n + 8)/7
Let p(y) be the third derivative of -1/15*y**5 + 0 + 2/3*y**4 - 8/3*y**3 + 0*y - 16*y**2. Factor p(f).
-4*(f - 2)**2
Let r(y) be the third derivative of -9*y**5/20 - 457*y**4/8 + 51*y**3 - 49*y**2. Factor r(d).
-3*(d + 51)*(9*d - 2)
Let o(r) be the second derivative of -r**4/66 + 269*r**3/33 - 268*r**2/11 + 37*r - 5. Factor o(z).
-2*(z - 268)*(z - 1)/11
Suppose -6/5*f**2 + 2/15*f**4 + 22/15*f + 2/15*f**3 - 8/15 = 0. What is f?
-4, 1
Let r be 8/(-1*2) - (-25277)/6280. Let q(w) be the third derivative of 5*w**2 - r*w**5 + 0*w + 0 + 0*w**3 + 1/16*w**4. Factor q(z).
-3*z*(z - 1)/2
Let z(f) = -f**4 + 4*f**2 + 6*f. Let v(u) = -3*u**4 - u**3 + 11*u**2 + 17*u. Let g(d) = -3*v(d) + 8*z(d). Solve g(s) = 0 for s.
-3, -1, 0, 1
Suppose -26 = -4*n - 2*y, 3*y + 5 = 20. Let b be -4 - (2 - 4 - n). Find g, given that -10*g**5 + 5*g**5 - 44*g - 7*g**5 + 56*g**3 + 8*g**b - 20*g**4 + 12 = 0.
-3, -1, 1/3, 1
Let o = 22/1907 - -39644/200235. Let w = 16/15 - o. Factor w*h**2 - 6/7 - 3/7*h + 3/7*h**3.
3*(h - 1)*(h + 1)*(h + 2)/7
Let m(v) be the first derivative of 1/4*v**4 + 0*v + 0*v**2 + 1/10*v**5 - 7 + 1/6*v**3. Factor m(n).
n**2*(n + 1)**2/2
Solve -109 - 235*x**2 - 15*x**5 + 169 - 17*x + 117*x + 35*x**3 + 55*x**4 = 0 for x.
-2, -1/3, 1, 2, 3
Let o = 1/22059 - -110293/44118. Solve 5*p**2 + o*p**3 - p**4 - 2*p - 1/2*p**5 - 4 = 0.
-2, -1, 1, 2
Let g(c) = -c**3 - 6*c**2 + 2*c + 12. Let r be g(-6). Let s(o) be the third derivative of r + o**2 + 0*o - 1/40*o**5 + 0*o**3 - 1/8*o**4. Factor s(y).
-3*y*(y + 2)/2
Let v(r) be the third derivative of -r**6/960 + r**5/120 - r**4/48 + 69*r**2 + 1. Find y such that v(y) = 0.
0, 2
Let f(v) = 13*v**2 - 17*v + 4. Let o(h) = 14*h**2 - 18*h + 4. Let p(d) = 2*f(d) - 3*o(d). Factor p(l).
-4*(l - 1)*(4*l - 1)
Let o(a) be the first derivative of 1/39*a**6 + 4/39*a**3 - 2/65*a**5 - 1/13*a**4 + 1/13*a**2 - 2/13*a - 25. What is f in o(f) = 0?
-1, 1
Let i(z) be the first derivative of -z**5/25 - z**4/4 - 3*z**3/5 - 7*z**2/10 - 2*z/5 - 260. Let i(y) = 0. What is y?
-2, -1
Let m(c) be the second derivative of c**4/3 + 226*c**3/3 - 565*c - 1. Factor m(i).
4*i*(i + 113)
Let t be (-2 + 3)*6/4. Factor t*y**2 + 9/2 - 6*y.
3*(y - 3)*(y - 1)/2
Factor 0 + 6/5*v**3 + 18/5*v**2 - 2/5*v**4 + 2*v.
-2*v*(v - 5)*(v + 1)**2/5
Let d = 22 + -19. Suppose k - 8 = -d*k. Factor -12*z**3 + 32*z**3 - z**5 + 11*z**5 + 4*z**k + 25*z**4 + z**2.
5*z**2*(z + 1)**2*(2*z + 1)
Let z = -285023/15 - -19003. Suppose 0 - z*h + 2/15*h**2 = 0. Calculate h.
0, 11
Suppose -12/5*t**4 + 48/5*t**2 - 16/5*t**5 + 68/5*t**3 + 0 - 16/5*t = 0. Calculate t.
-2, -1, 0, 1/4, 2
Let r = 764 + -4571/6. Let j(s) be the first derivative of -13/8*s**2 + r*s**3 + 1/2*s - 15/16*s**4 + 1. Factor j(c).
-(c - 1)*(3*c - 1)*(5*c - 2)/4
Let w = 58866/102991 + -2/14713. Factor -2/7 + 0*z**2 + w*z + 2/7*z**4 - 4/7*z**3.
2*(z - 1)**3*(z + 1)/7
Let l be (9/2)/((-24)/(-32)). Let g(n) = n**3 + 10*n**2. Let h(f) = -10*f**2. Let t(x) = l*h(x) + 5*g(x). Factor t(m).
5*m**2*(m - 2)
Let m(r) be the third derivative of 0*r - 1/360*r**6 - 37/72*r**4 + 1/9*r**5 + r**3 + 1 + 7*r**2. Factor m(c).
-(c - 18)*(c - 1)**2/3
Let s be ((-6)/2)/(3/(-2)). Let r be (-35)/20*(-648)/378. Factor -4/7*u**s + 0*u + 2/7*u**4 + 0 + 2/7*u**r.
2*u**2*(u - 1)*(u + 2)/7
Let q(p) = p**2 + 10*p + 25. Let l be q(-10). Let w(g) = g**2 + g. Let a(i) = -5*i**3 - 60*i**2 - 100*i - 45. Let d(r) = l*w(r) + a(r). Solve d(y) = 0 for y.
-3, -1
Let r(q) be the second derivative of 7*q**5/20 - q**4/12 + q**3/2 + q**2/2 - 12*q. Let g(k) = 3*k**3 + k. Let p(w) = -5*g(w) + 2*r(w). Factor p(y).
-(y - 1)*(y + 1)*(y + 2)
Let h(z) be the first derivative of -z**4/2 + 182*z**3/3 - 2024*z**2 - 4232*z + 221. Factor h(u).
-2*(u - 46)**2*(u + 1)
Factor 3/7 + 5/7*n**3 - 17/7*n + 9/7*n**2.
(n - 1)*(n + 3)*(5*n - 1)/7
Let 