/8400 + i**7/4200 - i**6/450 - i**5/150 + 13*i**3/3 - 25. Let u(s) be the third derivative of z(s). Factor u(o).
o*(o - 2)*(o + 1)*(o + 2)/5
Let 196/9 - 200/9*o**2 + 64/3*o + 4/9*o**4 - 64/3*o**3 = 0. What is o?
-1, 1, 49
Let 9/7*f**3 - 3/7*f**5 + 0 + 12/7*f - 24/7*f**2 + 6/7*f**4 = 0. What is f?
-2, 0, 1, 2
Let r(d) = -2*d**3 + 4*d**2 - 5*d - 6. Let f(o) = 3*o**3 - 5*o**2 + 6*o + 7. Let u(k) = 6*f(k) + 7*r(k). Let q be u(1). Factor -2 - 3 + 4 + 9*l + 4*l**2 + q.
(l + 2)*(4*l + 1)
Let a be 1/(-5) + (-342)/90. Let l(o) = -o**2 - 4*o + 4. Let i be l(a). Factor 133*r**2 + i - 46*r + 62*r**4 - 36*r**5 - 13*r**2 + 70*r**4 + 10*r - 184*r**3.
-4*(r - 1)**3*(3*r - 1)**2
Suppose 0 = 8*z - 272 + 240. Factor 0*o + 1/5*o**2 + 1/5*o**z + 0 - 2/5*o**3.
o**2*(o - 1)**2/5
Suppose -4*v - 25743 + 25751 = 0. Let 0 - 6/19*q - 4/19*q**v + 2/19*q**3 = 0. What is q?
-1, 0, 3
Suppose -2*y + 22 + 4 = 0. Factor y*m - 15*m + 10*m - 4*m**2.
-4*m*(m - 2)
Factor -11/4*v**2 + 15/2*v + 0 + 1/4*v**3.
v*(v - 6)*(v - 5)/4
Suppose 0 = 60*p - 31*p - 58. Factor -12/5*y**p - 2/5*y + 0.
-2*y*(6*y + 1)/5
Let f be (-5 - -3)*(-143)/1001. Determine z so that f*z**2 + 0 + 0*z - 2/7*z**3 = 0.
0, 1
Let t(r) = -6*r**2 + 25*r + 5. Let f(s) = 1 + 0*s**2 + s**2 - 2 - 4*s + 0. Let n(x) = 39*f(x) + 6*t(x). Determine o, given that n(o) = 0.
-1, 3
Let p be ((-6)/(-8))/(-1)*80/(-180). Factor 1 - 5/3*y**4 - p*y**5 + 7/3*y + 2/3*y**2 - 2*y**3.
-(y - 1)*(y + 1)**3*(y + 3)/3
Let n(t) = t**4 + 8*t**3 - 13*t**2 - 4*t + 20. Let y(k) = -2*k**4 - 8*k**3 + 12*k**2 + 4*k - 20. Let d(u) = 3*n(u) + 2*y(u). Suppose d(f) = 0. Calculate f.
-1, 2, 5
Let a(u) be the first derivative of u**3/3 + 26*u**2 + 676*u + 8. Factor a(b).
(b + 26)**2
Let u(n) = 2*n + 68. Let m be u(-20). Let h be 4/42 + 13/(637/m). Factor h*f**3 + 6*f + 0 - 4*f**2.
2*f*(f - 3)**2/3
Let k(j) be the third derivative of 0 - 1/45*j**5 + 1/12*j**4 + 1/105*j**7 - 1/9*j**3 - 1/90*j**6 - 1/504*j**8 + 0*j + 12*j**2. Factor k(z).
-2*(z - 1)**4*(z + 1)/3
Factor -99/7*i + 0 + 14*i**2 + 1/7*i**3.
i*(i - 1)*(i + 99)/7
Let q be (-3)/6*10 + (-101)/(-20). Let f(z) be the second derivative of 0 + 7*z + 3/10*z**2 - q*z**4 + 0*z**3. Factor f(i).
-3*(i - 1)*(i + 1)/5
Let v be (-64)/(-36) + -2 + (-1580)/(-792). Let g = v + -14/11. Factor 0*f - f**2 + 0 - g*f**4 + 3/2*f**3.
-f**2*(f - 2)*(f - 1)/2
Let f(x) = 8*x**2 + x - 12. Let b be f(4). Suppose -p = -6*p + b. Let -p - 3/2*r**2 - 12*r = 0. What is r?
-4
Suppose 45 = 4*n + 17. Let m(y) be the second derivative of -4/35*y**6 - 1/21*y**n + 0*y**3 + 0 + 0*y**2 + 1/21*y**4 - 3/70*y**5 + y. Find z such that m(z) = 0.
-1, 0, 2/7
Let m(y) = y**2 + 9*y + 11. Let l be m(-9). Factor -17*h**4 - 11*h**4 - l*h**2 + 3*h**2 + 28*h**3 + 8*h**4.
-4*h**2*(h - 1)*(5*h - 2)
Suppose -115*j + 545*j - 9245*j**2 + 248 - 253 = 0. What is j?
1/43
Let v(p) be the second derivative of -33/50*p**5 + 2*p + 10 + 4/5*p**3 + 0*p**2 - 16/15*p**4 - 7/75*p**6. Solve v(f) = 0 for f.
-3, -2, 0, 2/7
Let -19/10*t**2 + 1/10*t**3 + 4 - 11/5*t = 0. Calculate t.
-2, 1, 20
Let g = 329/8 - 41. Let b(k) be the first derivative of 0*k + g*k**4 - 1/12*k**3 - 1/20*k**5 - 5 + 0*k**2. Solve b(j) = 0 for j.
0, 1
Let n(o) be the third derivative of o**7/2520 + o**6/360 - o**5/40 + 5*o**4/12 + 39*o**2. Let c(m) be the second derivative of n(m). Factor c(a).
(a - 1)*(a + 3)
Let p(s) be the third derivative of 1/21*s**7 + 17/45*s**6 - 16/9*s**3 + 0*s + 0 - 25/1008*s**8 - 2*s**4 - 28/45*s**5 - 4*s**2. Solve p(m) = 0 for m.
-2, -2/5, 2
Let o = 401/490 + -41/98. Factor -4/5*l + 0 + o*l**2.
2*l*(l - 2)/5
Let k = -133/117 - -53/39. Suppose k*f**2 + 4/9 + 2/3*f = 0. Calculate f.
-2, -1
Let p(z) = -10*z**2 + 6*z. Let k(a) = -11*a**2 + 14*a - 11. Let x(q) = 5*q**2 - 7*q + 6. Let w(y) = 6*k(y) + 11*x(y). Let g(v) = 7*p(v) - 6*w(v). Factor g(h).
-4*h**2
Suppose 12*a + 24*a**3 - 4507 + 4519 - 219*a**2 + 81*a**3 = 0. Calculate a.
-1/5, 2/7, 2
Factor 1/5*o**2 - 8/5 - 2/5*o.
(o - 4)*(o + 2)/5
Factor -2*o**2 - 172 - 133 + 18*o + 269.
-2*(o - 6)*(o - 3)
Let z = 68 - 56. Factor 26*l + 10 - 26*l**2 - 4 + 6*l**3 - z.
2*(l - 3)*(l - 1)*(3*l - 1)
Suppose -4*p = 5*t + 75, -4*t = 9 + 3. Let y be (-1)/(((-3)/p)/(-1)). Factor 5*u**3 - 8*u**y - 64 + 2*u**2 + 64 + u**3.
-2*u**2*(u - 1)*(2*u + 1)**2
Let n be (0 + (-2)/1)/((-2)/4). Factor -2*w**2 - 10*w**2 + 4*w**5 - w**5 + 9*w**n + 0*w**2.
3*w**2*(w - 1)*(w + 2)**2
Let v(w) be the third derivative of 11/100*w**6 + 0*w**3 + 0 + 1/5*w**4 + 0*w + 7/25*w**5 + 8*w**2 + 1/70*w**7. Factor v(d).
3*d*(d + 2)**2*(5*d + 2)/5
Let p(q) be the second derivative of -5*q**7/42 + q**6/6 + 3*q**5 - 20*q**4/3 - 80*q**3/3 + 120*q**2 - 397*q. Find a such that p(a) = 0.
-3, -2, 2
Let t(d) be the second derivative of d**4/4 - 6*d**3 + 81*d**2/2 - 42*d. Factor t(r).
3*(r - 9)*(r - 3)
Let z(t) be the first derivative of -t**7/840 - t**6/180 + t**5/40 - t**3 - 47. Let l(y) be the third derivative of z(y). Factor l(v).
-v*(v - 1)*(v + 3)
Let b(d) be the first derivative of 2*d**6/3 + 4*d**5/5 - 5*d**4 + 4*d**3 + 74. Factor b(o).
4*o**2*(o - 1)**2*(o + 3)
Let g(b) be the first derivative of -b**4/2 - 94*b**3/27 - 46*b**2/9 - 16*b/9 - 24. Factor g(a).
-2*(a + 1)*(a + 4)*(9*a + 2)/9
Let -125*q**2 - 30*q - 105/2*q**3 + 20 = 0. Calculate q.
-2, -2/3, 2/7
Suppose -13*i - 63 = -16*i. Let d be ((-2)/14)/((-2)/i). Find f such that 0*f - d*f**2 + 0 = 0.
0
Let x(k) = -2*k**2 + 11*k - 3. Let y(i) = 3*i**2 - 10*i + 4. Let l(q) = 4*x(q) + 3*y(q). Factor l(r).
r*(r + 14)
Let i(p) be the first derivative of -2*p**5/35 - p**4/6 + 4*p**3/21 + 75. Factor i(x).
-2*x**2*(x + 3)*(3*x - 2)/21
Let y(x) = 3*x**3 - 59*x**2 + 236*x - 234. Let z(q) = -17*q**3 + 297*q**2 - 1182*q + 1169. Let l(v) = 22*y(v) + 4*z(v). Determine n so that l(n) = 0.
-59, 2
Factor -59*d**2 + 16*d**2 - 36*d + 19*d**2 + 22*d**2 + 38.
-2*(d - 1)*(d + 19)
Let h be -3*1/3 + (5 - 0). Let g(v) be the second derivative of 0 - 3/20*v**5 + 3/10*v**6 - 5/4*v**h + 3*v**2 + 4*v + 1/2*v**3. Suppose g(f) = 0. Calculate f.
-1, -2/3, 1
Let t(b) = 6*b**5 - 33*b**3 - 51*b**2 + 3*b. Let z(f) = 7*f**5 - 32*f**3 - 52*f**2 + 4*f. Let y(j) = -4*t(j) + 3*z(j). Factor y(c).
-3*c**2*(c - 4)*(c + 2)**2
Suppose 0 = 2*y - b - 8, 25*y = 22*y - b + 7. Factor -4*t**y - 16/5*t**2 + 0 + 6/5*t**4 + 0*t.
2*t**2*(t - 4)*(3*t + 2)/5
Let y(d) = -d + 7. Let o(r) = -1. Let h(u) = 4*o(u) - y(u). Let g be h(13). Let -3 + 0*v**2 - v**g + 2*v**2 + 1 + v = 0. Calculate v.
-2, 1
Let d be (150/12)/(50/8 - (-1)/(-1)). Factor -2/21*o**2 - d + 20/21*o.
-2*(o - 5)**2/21
Suppose -4/9 + 28/9*x**2 + 10/9*x**3 + 14/9*x = 0. Calculate x.
-2, -1, 1/5
Let a(l) = 5*l**2 + 5*l. Let r(j) = -6*j**2 - 6*j. Suppose -4*t - 10 = 6. Let d be (5/2)/((-1)/2). Let p(u) = d*a(u) + t*r(u). Let p(g) = 0. What is g?
-1, 0
Let r(i) = -55*i**4 - 1450*i**3 + 35*i**2 + 1470*i. Let x(z) = 8*z**4 + 207*z**3 - 5*z**2 - 210*z. Let l(n) = -3*r(n) - 20*x(n). Solve l(c) = 0 for c.
-42, -1, 0, 1
Suppose -2*n + 714 = -5*n + 714. Find b, given that -4/3*b**4 + n*b + 2/3*b**2 + 7/3*b**3 + 0 = 0.
-1/4, 0, 2
Let l(w) be the first derivative of 1/48*w**4 + 1/12*w**3 + 1/8*w**2 + 2*w + 1. Let k(a) be the first derivative of l(a). Find x such that k(x) = 0.
-1
Let v(s) be the third derivative of 0*s**7 + 0*s**4 + 1/540*s**6 + 14*s**2 + 0*s**3 + 0*s + 0 - 1/1512*s**8 + 0*s**5. Suppose v(n) = 0. What is n?
-1, 0, 1
Let m(f) = -f**2 - 59*f + 4. Let n(g) = -3*g**2 - 234*g + 18. Let p(w) = 9*m(w) - 2*n(w). Factor p(d).
-3*d*(d + 21)
Let j(w) be the first derivative of -w**6/120 + w**5/8 + 8*w**3/3 - 12. Let y(t) be the third derivative of j(t). What is l in y(l) = 0?
0, 5
Let g(i) = -i**3 + 12*i**2 + 12. Let f be g(12). Factor -250*w**2 + 435*w**3 - 285*w**3 - f*w**4 - 18*w**4 + 2*w**5.
2*w**2*(w - 5)**3
Suppose 12 - 3*a**2 - 17*a + 0*a**2 - 7*a + 15*a = 0. Calculate a.
-4, 1
Let r(o) be the first derivative of -o**5/10 + 3*o**4/4 - 2*o**3 + 5*o**2/2 - 3*o/2 - 86. Factor r(d).
-(d - 3)*(d - 1)**3/2
Let l(s) be the first derivative of -s**6/2 - 3*s**5/5 + 57*s**4/2 - 124*s**3 + 228*s**2 - 192*s + 54. Let l(g) = 0. What is g?
-8, 1, 2
Let g(n) be the third derivative of n**5/90 + 82*n**4/9 + 26896*n**3/9 - 328*n**2. Factor g(z).
2*(z + 164)**2/3
Let l(r) be the second derivative of -1/80*r**5 + 0*r**3 + 25*r - 7/48*r**4 