 + 32/11*a**4 + h*a**5 + 0*a + 0*a**2 + 8/11*a**d.
2*a**3*(a + 2)*(7*a + 2)/11
Suppose 3*s - 3214 = 4*r, 5*s + 33*r = 35*r + 5366. Let o = 1077 - s. Factor -2/3*i**2 - i + 1/3*i**o + 0.
i*(i - 3)*(i + 1)/3
Let t(u) be the third derivative of -1/210*u**7 - 7*u**2 + 0*u**3 + 0*u - 3/8*u**4 + 3/20*u**5 + 1/120*u**6 + 7. Factor t(a).
-a*(a - 3)*(a - 1)*(a + 3)
Let q = -1367901 - -9575336/7. Factor q*s**2 - 29/7 + 1/7*s**3 - 1/7*s.
(s - 1)*(s + 1)*(s + 29)/7
Let j be 4/2 - (-8)/(-5). Let k be (2 + (-29)/15)/((-187)/33 - -6). Determine d so that k*d**2 - 3/5 - j*d = 0.
-1, 3
Let n be (20 + 2268/(-105))*-2. Determine f so that 6/5*f**3 + 0 - 2/5*f**4 - n*f + 12/5*f**2 = 0.
-2, 0, 1, 4
Let b be (22/(-14) - -1) + ((-432)/(-56) - 7). Let l(v) be the first derivative of -15 + 20/7*v**3 + b*v**4 + 150/7*v**2 + 500/7*v. Factor l(r).
4*(r + 5)**3/7
Let a(o) be the second derivative of -67/4*o**4 - 42/5*o**5 + 133/6*o**3 - 8/15*o**6 - 9*o**2 + 13*o + 7. Determine r, given that a(r) = 0.
-9, -2, 1/4
Suppose 15*r = -40 + 115. Factor j**5 - 1254*j**3 + 14*j**4 + 2*j**5 + 0*j**5 + 1303*j**3 - 2*j**r.
j**3*(j + 7)**2
Factor 1774/9 - 2/9*m**2 + 1772/9*m.
-2*(m - 887)*(m + 1)/9
Let g = 178853/42345 - 7/4705. Factor -2/9*r**3 + 0*r - g*r**2 + 0.
-2*r**2*(r + 19)/9
Factor -5*x**5 + 12*x**2 - 13*x**4 + 19*x**4 + 60*x - 55*x**3 + 14*x**2 - 16*x**2 - 40 + 24*x**4.
-5*(x - 2)**3*(x - 1)*(x + 1)
Let d = -2021318/7 - -288760. Factor -d*y + 4/7*y**3 + 0*y**4 + 0*y**2 + 0 - 2/7*y**5.
-2*y*(y - 1)**2*(y + 1)**2/7
Let v(x) be the third derivative of x**7/840 - 7*x**6/160 + 9*x**5/16 - 117*x**4/32 + 27*x**3/2 + 2*x**2 + 579. Factor v(m).
(m - 12)*(m - 3)**3/4
What is v in 1/4*v**5 + 4*v**4 - 243/2 - 297/4*v + 18*v**3 + 27/2*v**2 = 0?
-9, -3, 2
Let f(a) = 4*a**4 - 92*a**3 + 400*a**2 + 11152*a - 23112. Let k(v) = 2*v**4 - 91*v**3 + 399*v**2 + 11152*v - 23114. Let u(m) = 3*f(m) - 4*k(m). Factor u(n).
4*(n - 10)*(n - 2)*(n + 17)**2
Factor -32*w**3 - 2*w**4 - 8305*w**2 + 8135*w**2 - 369*w + 69*w.
-2*w*(w + 5)**2*(w + 6)
Let z = 244 + -240. Let x be -39 - -39 - (1 - z). Factor -12*q**2 + 0 + 3/2*q**5 - 6*q**3 + 0*q + x*q**4.
3*q**2*(q - 2)*(q + 2)**2/2
Let a = 291741 - 291741. Find t, given that 0*t**2 + 5*t**4 - 20/3*t**3 + 0 + 5/3*t**5 + a*t = 0.
-4, 0, 1
Factor -24649 - 157*z - 1/4*z**2.
-(z + 314)**2/4
Let 45*c**3 - 14*c - c**4 - 10*c + 20*c**2 + 0*c**4 - 86*c**3 + 39*c**3 = 0. What is c?
-6, 0, 2
Let c = -749 + 747. Let s(p) = p**3 - p**2 + p. Let q(k) = 7*k**3 - 75*k**2 - 567*k - 512. Let b(h) = c*q(h) + 18*s(h). Factor b(d).
4*(d + 1)*(d + 16)**2
Let j(f) be the third derivative of f**7/315 + f**6/45 + f**5/30 - f**4/9 - 4*f**3/9 + 2177*f**2. Determine b, given that j(b) = 0.
-2, -1, 1
Suppose -103*l + 0*l**3 - 5*l**5 - 7*l**3 - 35*l**4 - 23*l**3 - 22*l + 200*l**2 - 5*l**4 = 0. Calculate l.
-5, 0, 1
Solve 88/15*x**2 + 28/15*x**3 - 28/15*x - 6 + 2/15*x**4 = 0.
-9, -5, -1, 1
Let c(k) be the first derivative of k**7/21 - 2*k**6/5 + 13*k**5/10 - 2*k**4 + 4*k**3/3 + 10*k - 12. Let f(r) be the first derivative of c(r). Factor f(o).
2*o*(o - 2)**2*(o - 1)**2
Let z be (-4)/14 - 635419/609. Let u = -1043 - z. Factor 0*g**2 - 2/3*g**5 + 0 + 0*g + 0*g**3 + u*g**4.
-2*g**4*(g - 1)/3
Find w, given that -12/7*w**4 + 12/7*w**2 - 6/7*w**3 + 0 + 9/7*w - 3/7*w**5 = 0.
-3, -1, 0, 1
Let x(l) = -l**3 + 241*l**2 + 1580*l - 24203. Let s be x(247). Factor 0*u + 0 + 2/7*u**s + 2/7*u**4 + 0*u**2.
2*u**3*(u + 1)/7
Suppose 9*d - 58 = -22. Let z(f) = 4*f**3 + 12*f**2 + 4*f - 8. Let u(l) = 8*l**3 + 25*l**2 + 8*l - 18. Let x(s) = d*u(s) - 9*z(s). Determine m so that x(m) = 0.
-1, 0
Suppose 0 = 88*p - 108*p. Let j(d) be the second derivative of 11*d - 1/60*d**4 + 0 + 1/30*d**3 + p*d**2. Factor j(z).
-z*(z - 1)/5
Determine p so that 520 - 213/2*p + 1/2*p**2 = 0.
5, 208
Let b be (-3)/(-75)*(-35330)/(-24). Let z = -235/4 + b. Let -4/15 + z*y**2 + 2/15*y = 0. What is y?
-2, 1
Let c = -1664 + 912. Let i be 470/c*(-4)/15. Solve 1/2*u + i + 1/3*u**2 = 0.
-1, -1/2
Factor -16/3*u + 8/3*u**2 - 16/3 + 16/3*u**3 + 7/3*u**4 + 1/3*u**5.
(u - 1)*(u + 2)**4/3
Let b = -2 - -6. Let y be (-15)/2*(-176)/6 - -1. Let -48 - 599*j**2 - y*j**2 - 321*j - 31*j - 140*j**b + 268*j**3 - 924*j**3 = 0. What is j?
-3, -1, -2/5, -2/7
Suppose 352 = 145*k + 94 - 177. Let l(t) be the first derivative of 0*t**2 + 0*t - 2/9*t**k - 4. Factor l(v).
-2*v**2/3
Let a(s) be the third derivative of -s**8/112 + 3*s**7/35 - 7*s**6/20 + 4*s**5/5 - 9*s**4/8 + s**3 + 1900*s**2. Solve a(n) = 0.
1, 2
Let d = 115 - 111. Let -d*q**2 + 9*q + 21*q - q**3 - q**2 - 4*q**3 = 0. What is q?
-3, 0, 2
Suppose 5*d + 5*h = 145, -35*d + 40*d = 4*h + 172. Let 19*m**3 - 5*m**3 + 6*m**3 - 4*m**5 - 1346*m**4 + d*m**2 + 1334*m**4 + 4*m**3 = 0. Calculate m.
-4, -1, 0, 2
Let f(d) be the first derivative of 0*d**2 + 0*d + 10 + 9/16*d**4 + 1/2*d**3 + 3/20*d**5. Let f(p) = 0. Calculate p.
-2, -1, 0
Let x(a) = 9*a**2 - 306*a + 13. Let i be x(34). Suppose 6*n + 1 = i. Solve 0 - 2/11*v**3 - 4/11*v**n + 0*v = 0 for v.
-2, 0
Let v(w) be the second derivative of 5/3*w**4 - 1/5*w**5 + 0 + 14*w**2 - 124*w + 26/3*w**3. Factor v(k).
-4*(k - 7)*(k + 1)**2
Suppose 3*h + 881 - 890 = 0. Let v(t) be the second derivative of 0*t**2 + 1/50*t**5 + 1/15*t**h + 1/15*t**4 - 8*t + 0. Factor v(s).
2*s*(s + 1)**2/5
Suppose 42 = 2*u + 2*h, 101032*u - 101034*u - 34 = -2*h. Factor 2*j**u - 30/7 - 2*j - 2/7*j**3.
-2*(j - 5)*(j - 3)*(j + 1)/7
Let r(t) be the second derivative of -t**4/4 + 1650*t**3 - 4083750*t**2 - 5964*t. Suppose r(m) = 0. Calculate m.
1650
Let f(y) be the third derivative of y**8/13440 - y**7/420 - 19*y**4/12 + 110*y**2. Let m(t) be the second derivative of f(t). Find k such that m(k) = 0.
0, 12
Let h(u) be the second derivative of u**4/24 - 15*u**3/4 - 1703*u. Factor h(f).
f*(f - 45)/2
Let w(x) be the first derivative of 1/4*x**4 - 2 + 0*x + 4/3*x**3 - x**5 + 0*x**2. Factor w(i).
-i**2*(i - 1)*(5*i + 4)
Suppose -417/2*k + 9/2*k**3 - 66 - 30*k**2 = 0. What is k?
-4, -1/3, 11
Let r(p) be the first derivative of p**4/6 + 342*p**3 + 197633*p**2 + 1182722*p/3 - 8698. Factor r(t).
2*(t + 1)*(t + 769)**2/3
Suppose 4*j + 4*m - 48 = 0, -m = -3*j + 2*m + 48. Suppose -4*l = 6 - j. Factor h**4 - h**3 + 27 - 27 + h**5 - h**l.
h**2*(h - 1)*(h + 1)**2
Let h(p) be the first derivative of p**3 + 39*p**2/2 - 144*p + 1153. Factor h(x).
3*(x - 3)*(x + 16)
Let k be 230/(-6) - 0 - (-16 + 19). Let w = 42 + k. Factor 0 - 8/3*p**2 + 2*p + w*p**3.
2*p*(p - 3)*(p - 1)/3
Let n(y) be the second derivative of 1/60*y**5 - 7/36*y**4 + 0*y**2 + 0 + 1/3*y**3 - 162*y. Factor n(f).
f*(f - 6)*(f - 1)/3
Let w(k) = -k**2 + 19*k + 25. Let b be w(20). Factor 12 - 7*v + 3*v + 3*v**2 - b*v - 3*v.
3*(v - 2)**2
Let x = -4415616/19 + 232344. Let m = x + 5615/57. Find r, given that -m - 5*r**2 + 25*r + 1/3*r**3 = 0.
5
Let s(p) = -10*p**3 - 8785*p**2 - 11240*p - 2465. Let i(r) = -r**3 + r**2 + r - 1. Let j(f) = 25*i(f) + s(f). Suppose j(v) = 0. Calculate v.
-249, -1, -2/7
Let n(z) = -5*z**2 - z**2 + 3 - z**2 + 388*z - z**3 - 398*z. Let t be n(-5). Suppose 0*x**3 - 6*x**3 + 2*x**3 + 12*x + 5 + t = 0. What is x?
-1, 2
Let r(a) be the first derivative of a**5/120 - 17*a**4/48 - 19*a**3/6 + a**2 - 16*a + 62. Let y(p) be the second derivative of r(p). Find z such that y(z) = 0.
-2, 19
Let c(n) be the third derivative of 0 - 250/3*n**3 - 1/300*n**5 - 5/6*n**4 + 0*n - 7*n**2. Let c(q) = 0. What is q?
-50
Let w(k) = 22*k**2 + 860*k - 68. Let i(j) = -2*j**2 - 78*j + 6. Let d(m) = -34*i(m) - 3*w(m). Factor d(x).
2*x*(x + 36)
Let x(b) be the first derivative of -3/2*b**2 + 99 + 36*b - b**3. Factor x(m).
-3*(m - 3)*(m + 4)
Let d = 939 - 930. Suppose 2*h - 2*z = 0, 10*h - d*h = 4*z. Suppose 1/2*x**3 + 0*x**2 + 0*x - 1/4*x**5 + h + 1/4*x**4 = 0. Calculate x.
-1, 0, 2
Let h(y) be the first derivative of 58 - 49/2*y - 175/8*y**2 - 1/20*y**5 - 17/16*y**4 - 31/4*y**3. Factor h(i).
-(i + 1)*(i + 2)*(i + 7)**2/4
Suppose -11*x + 8 = -14. Let -35*p - 3*p**4 + 11*p**3 + 12*p**x + 47*p - 14*p**3 = 0. Calculate p.
-2, -1, 0, 2
Let x(g) = 2*g + g**2 + 15 - 2*g**2 - 3*g - 9. Let t be x(2). Solve 2*n + 4*n**3 - 14 + 20*n**2 + 30 + 30*n + t*n**3 = 0 for n.
-2, -1
Let u = -2284837 + 2284837. Let r(h) = h - 3. Let y be r(5). Factor u + 2/5*i**4 - 2/5*i**3 - 2/5*i**