)/(-80))/((-1)/(-5)). Let g = -26 - -28. Suppose 1/2*b**3 - h*b**2 + g + 0*b = 0. Calculate b.
-1, 2
Let h(l) = -l**3. Let t(g) = -7*g**3 - g**2 - g + 2. Let x(a) = -6*h(a) + t(a). Let v be x(0). Factor 6/7*u**4 + 0*u + 0 - 4/7*u**3 - 2/7*u**v.
2*u**2*(u - 1)*(3*u + 1)/7
Let a(t) be the third derivative of 0*t**3 + 0*t + 1/10*t**5 + 33*t**2 + 1/60*t**6 - 5/6*t**4 + 0. Factor a(n).
2*n*(n - 2)*(n + 5)
Let u = 641 - 420. Let v be (1/2)/(u/52). Factor 10/17*d**2 + v*d**3 + 6/17 + 14/17*d.
2*(d + 1)**2*(d + 3)/17
Let k = -44/27 + 2273/1080. Let a(t) be the third derivative of -2*t**2 + 2/35*t**7 + 0*t + 0 + k*t**6 + 27/20*t**5 + t**4 - 2*t**3. Factor a(w).
3*(w + 1)*(w + 2)**2*(4*w - 1)
Let u be (1 + 14/4)*56/(-399). Let d = 105/76 + u. Factor -1/4*f**4 + 0 - 1/4*f - d*f**2 - 3/4*f**3.
-f*(f + 1)**3/4
Let v be (-62)/10 - (-14 + 6 - -1). Let z(g) = g**2 + g - 4. Let j be z(-3). Factor 0 + v*c - 2/5*c**3 - 2/5*c**j.
-2*c*(c - 1)*(c + 2)/5
Determine o, given that -7 - o**2 - 35*o - 5 - 18 - 4*o**2 = 0.
-6, -1
Let l(u) be the first derivative of -10/3*u**3 + 1 + 0*u - 3/2*u**2 - 3*u**4 - 6/5*u**5 - 1/6*u**6. Factor l(y).
-y*(y + 1)**3*(y + 3)
Suppose -1574*q + 1603*q = 145. Factor -10/3*x + 5/3*x**2 - q.
5*(x - 3)*(x + 1)/3
Let z(f) = -f + 7. Let t be z(5). Let q = 191/261 - 17/261. Factor 0*m**t + q*m**3 - 2*m - 4/3.
2*(m - 2)*(m + 1)**2/3
Let a(x) be the second derivative of 0*x**2 - 1/30*x**4 + 9*x + 1/50*x**5 - 2/15*x**3 + 0. Factor a(t).
2*t*(t - 2)*(t + 1)/5
Let r be (-158)/80 - 13/((-156)/24). Let q(t) be the third derivative of t**2 - 1/4*t**3 - 1/8*t**4 - r*t**5 + 0 + 0*t. Solve q(l) = 0 for l.
-1
Let z(s) be the second derivative of -6*s**7/7 - 38*s**6/5 - 28*s**5/5 + 208*s**4/3 + 512*s**3/3 + 160*s**2 - 403*s. Determine o, given that z(o) = 0.
-5, -2, -2/3, 2
Suppose -4*n = 0, 0*j - j + 2*n = -11. Suppose -3*p + 34 = -j. What is d in -13 - 2*d + p + 2*d - 2*d**2 = 0?
-1, 1
Let t(n) be the second derivative of 1/4*n**4 - 3*n**2 + 1/2*n**3 + 0 - n. Solve t(i) = 0 for i.
-2, 1
Let k(d) be the third derivative of 2*d**5/45 + 113*d**4/36 + 28*d**3/9 - 316*d**2. Factor k(g).
2*(g + 28)*(4*g + 1)/3
Let s be (3/5)/((-2)/(-10)). Suppose -32*n - 2/3*n**s + 128/3 + 8*n**2 = 0. What is n?
4
Let u(c) be the first derivative of -2*c**3/21 + 242*c**2/7 - 29282*c/7 + 166. Factor u(n).
-2*(n - 121)**2/7
Let i(t) = 3*t**2 - 6*t - 18. Let f(l) = 6*l**2 - 13*l - 37. Suppose -18 = -2*x - 2*b - 0*b, -b = 4*x - 48. Let m(d) = x*i(d) - 6*f(d). Solve m(q) = 0.
-2, 2
Suppose 25 = -6*r + 97. Suppose r = -4*c, 17 = 3*y - 5*c - 16. Factor -t**2 - 9 + 3*t**2 + t**2 + 12 - y*t.
3*(t - 1)**2
Let m(j) be the third derivative of -1/1176*j**8 + 0*j + 0*j**3 + 1/210*j**5 + 15*j**2 + 0 + 1/245*j**7 - 1/140*j**6 + 0*j**4. Determine i, given that m(i) = 0.
0, 1
Factor -15/7*u - 1/7*u**2 + 0.
-u*(u + 15)/7
Let m(b) be the third derivative of b**9/30240 + b**8/13440 + 5*b**4/12 + 2*b**2. Let n(p) be the second derivative of m(p). Find t such that n(t) = 0.
-1, 0
Let p be -7 + 530/90 - 100/(-30). What is m in -2/9*m**3 - 2/9*m**5 + p*m**2 - 16/9 - 8/9*m**4 + 8/9*m = 0?
-2, 1
Suppose y = -3*y - 8. Let b be 235/141 + (-2)/y*-1. Determine z, given that -b*z**2 + 4/9*z + 2/3*z**4 - 2/9*z**3 + 0 - 2/9*z**5 = 0.
-1, 0, 1, 2
Let c = 89/4 - 87/4. Let v(i) be the first derivative of 1 - 4*i + 4/3*i**3 + i**2 - c*i**4. Determine n, given that v(n) = 0.
-1, 1, 2
Let c(o) be the second derivative of -o**5/20 - o**4/12 - o**3/6 - 13*o - 1. Let h be c(0). Factor -4/9*j + 2/9*j**2 + h.
2*j*(j - 2)/9
Factor 75*y + 34*y**2 + 27*y**2 - y**3 - 137*y - 19*y**2 - 379*y.
-y*(y - 21)**2
Let c = 1899 + -1896. Let i(m) be the first derivative of 2/45*m**c + 2/15*m - 9 - 2/15*m**2. Factor i(b).
2*(b - 1)**2/15
Let m = 9379 + -18757/2. Factor 1/2*i**3 + 1/2 - 1/2*i - m*i**2.
(i - 1)**2*(i + 1)/2
Suppose -13*u + 48 = 11*u. Factor 0 - 1/3*t**u + 0*t.
-t**2/3
Let n(u) = -u**5 - u**3 - u**2 - u + 1. Let v(s) = -4*s**5 - 5*s**4 + 11*s**3 + 11*s**2 - 4*s - 6. Let j(f) = n(f) + v(f). Factor j(z).
-5*(z - 1)**2*(z + 1)**3
Suppose 2*x + 5 = 3*n, 4*n + 3 = -5*x + 25. Factor -2*l**2 - 7*l + n*l + 12*l - 4*l.
-2*l*(l - 2)
Let i(r) = 6*r**2 + 5*r - 14. Let b(q) = 12*q**2 + 9*q - 30. Let o(c) = -6*b(c) + 14*i(c). Find h such that o(h) = 0.
-2, 2/3
Let g(y) = -5 + 3*y**2 - 6*y**3 + 2*y**3 - 4*y + 3*y**3 + 16*y. Let i be g(5). Suppose 2/11*k**i - 4/11*k**4 + 2/11*k**3 + 0*k + 0*k**2 + 0 = 0. Calculate k.
0, 1
Let p be (-6)/8 - (15 + (-160)/10). Find b such that 0 - 1/4*b**2 - p*b = 0.
-1, 0
Suppose -3*t = 4*p - 5, -t = -32*p + 30*p + 5. Let n(h) be the third derivative of 0*h + 1/10*h**5 + 7*h**p + 1/3*h**3 + 0 - 1/3*h**4. Factor n(o).
2*(o - 1)*(3*o - 1)
Factor 60*o + 196 - 212 + 5*o**2 - 8*o**3 + 13*o**2.
-2*(o - 4)*(o + 2)*(4*o - 1)
Let z be (52 - 59)/((-2)/((-8)/(-7))). Factor -4/7*d**2 + 2/7*d**5 + 0*d - 6/7*d**3 + 0 + 0*d**z.
2*d**2*(d - 2)*(d + 1)**2/7
Let p(r) be the second derivative of -3/20*r**5 + 9/16*r**4 + 0 + 1/80*r**6 + 0*r**3 + r**2 - 5*r. Let f(m) be the first derivative of p(m). Factor f(z).
3*z*(z - 3)**2/2
Let g(t) = -t**4 + t**2 - t + 2. Let o(y) = y**5 - 9*y**3 - 12*y**2 - 3*y - 2. Let h(c) = 3*g(c) + 3*o(c). Factor h(a).
3*a*(a - 4)*(a + 1)**3
Suppose 18 = v + 3*k + k, -5*k = -3*v + 37. Let q be 8/v - (-287)/49. Find a such that -12/7*a**4 - 3/7 + 39/7*a**3 - q*a**2 + 3*a = 0.
1/4, 1
Suppose -2*z = -53 - 9. Suppose -3*m = -9, -z = -u - u - 5*m. Factor u*k**2 + 7*k**2 - 14*k**2.
k**2
Suppose u + 24 = 3*w - 2*u, -15 = 3*u. Factor 3/5*r**2 + 3/5*r - 3/5*r**w - 3/5.
-3*(r - 1)**2*(r + 1)/5
Let i(w) = w**3 + 6*w + 20. Let z be i(-2). Let u(b) be the first derivative of -1/16*b**4 + 1/12*b**3 + z*b - 4 + 1/4*b**2. Factor u(h).
-h*(h - 2)*(h + 1)/4
Let t be 0/(-2 - -1) + (-660)/11. Let o = 63 + t. Determine h so that 6/5*h**5 - 9/5*h**4 - 3/5 + 0*h - 6/5*h**o + 12/5*h**2 = 0.
-1, -1/2, 1
Let t(m) be the second derivative of -m**8/1680 + m**7/315 - 17*m**4/12 - 6*m. Let u(v) be the third derivative of t(v). Let u(n) = 0. Calculate n.
0, 2
Let j(o) be the second derivative of o**6/40 + o**5/20 - 5*o**4/4 + 4*o**3 - 49*o**2/2 + 26*o. Let d(t) be the first derivative of j(t). Factor d(z).
3*(z - 2)*(z - 1)*(z + 4)
Let b(d) be the third derivative of -d**5/240 - 9*d**4/4 - 486*d**3 - 5*d**2 + 6. Determine s so that b(s) = 0.
-108
Let x = 45 + -38. Let p = -1 - -4. Factor -6*d**5 - p*d**4 + 5*d**3 - 7*d**3 - x*d**4 + 2*d**2.
-2*d**2*(d + 1)**2*(3*d - 1)
Let d(i) = 4*i**4 - 7*i**3 - 5*i**2. Let x(j) = -4*j**2 + 4*j**4 - 20*j + 20*j - 8*j**3. Let y(f) = -4*d(f) + 3*x(f). Solve y(l) = 0.
-1, 0, 2
Solve 4*s**4 - 12*s**2 + 87*s - s**5 + 2*s**3 - 41*s - 55*s = 0 for s.
-1, 0, 3
Find p such that -21*p**3 - 39/5*p + 0 + 153/5*p**2 - 9/5*p**4 = 0.
-13, 0, 1/3, 1
Let f(s) = -s**5 - 9*s**4 - 4*s**3 + 5*s**2 + 7*s + 1. Let t(d) = 2*d**5 - d**4 - d**2 - 1. Let b(m) = -4*f(m) + 4*t(m). Factor b(g).
4*(g - 1)*(g + 1)**3*(3*g + 2)
Let f(h) be the third derivative of -h**5/180 + h**4/4 + 71*h**2. Let f(m) = 0. Calculate m.
0, 18
Let y(f) be the second derivative of -1/126*f**7 + f + 0 + 0*f**4 + 0*f**2 + 1/30*f**5 + 0*f**3 + 1/90*f**6. Factor y(c).
-c**3*(c - 2)*(c + 1)/3
Let d(k) = -5*k + 137. Let c be d(27). Let i be ((-4)/6)/(2/(-6)). Factor 3*o**2 - 3*o**3 - 3 - 2*o**c + 2*o + 2*o**i + o.
-3*(o - 1)**2*(o + 1)
Let v(g) = 2*g**2 + 128*g + 590. Let c be v(-59). Let 1/2*o**4 - o**3 + o + c - 1/2*o**2 = 0. What is o?
-1, 0, 1, 2
Let t(i) be the third derivative of -i**7/420 + i**6/40 + 23*i**5/120 - 5*i**4/4 + 8*i**3/3 - i**2 + 122. What is j in t(j) = 0?
-4, 1, 8
Let c = 89 + -68. Let f be (-58)/(-7) + (-6)/c. Solve 12 + f*p + 4/3*p**2 = 0.
-3
Let t(g) = 241*g - 4576. Let w be t(19). Solve 0 - 1/3*o - 2/3*o**2 - 1/3*o**w = 0 for o.
-1, 0
Let c = 845 - 3375/4. Let j(o) be the first derivative of -80*o + 35/3*o**3 - 13 + 20*o**2 + c*o**4. Factor j(r).
5*(r - 1)*(r + 4)**2
Let t(w) = 19*w + 613. Let u be t(-32). Factor 4/5*j + 0 - 4/5*j**2 + 2/5*j**4 - 3/5*j**3 + 1/5*j**u.
j*(j - 1)**2*(j + 2)**2/5
Suppose 2*p - 5 + 1 = 0. Suppose -27*m**p - 6*m**3 - 181 - 15*m + 172 - 15*m = 0. What is m?
-3, -1, -1/2
Let m(f) be the first derivative of 1/4*f**6 + 9/4*f**2 + 0*f + 9/2*f**4 - 5*f**3 - 9/5*f**5 + 43. Factor m(g).
3*g*(g - 3)*(g