e k so that m(k) = 0.
0, 1, 2
Let x(m) be the third derivative of 0*m + 30*m**2 + 65/6*m**4 - 2/63*m**7 + 13/18*m**6 - 10*m**3 - 193/36*m**5 + 0. Factor x(b).
-5*(b - 6)**2*(2*b - 1)**2/3
Suppose 0 = g - 4, -3*z - 4*g = -670 - 810. Suppose -12 - 100*l - z + 0*l**2 + 3*l**2 - 8*l**2 = 0. What is l?
-10
Let b(g) = -g**2 + 12*g - 6. Let d be b(11). Suppose j - d = -3. Suppose 5*f**2 - 2*f**j - 6*f - 4 + 6*f**3 - 2 + 3 = 0. What is f?
-1, -1/2, 1
Let g(m) be the second derivative of m**5/90 - 2*m**4/9 + 7*m**3/9 - 10*m**2/9 + 209*m. Factor g(r).
2*(r - 10)*(r - 1)**2/9
Let d = -6 + 10. Let m be 35/30 + 10/(-15). What is j in 0*j + 1/2*j**d - m*j**5 + 0 + 0*j**2 + 0*j**3 = 0?
0, 1
Let a(c) be the third derivative of c**6/30 + 73*c**5/5 + 1980*c**4 - 24200*c**3/3 - 325*c**2. Determine k, given that a(k) = 0.
-110, 1
Factor 19/3*y - 5/3 + 4/3*y**2.
(y + 5)*(4*y - 1)/3
Let o be 5/31*632/56. Let a = o + -21/31. Find y, given that -4/7*y + 0*y**2 + 0 - 4/7*y**5 + 0*y**4 + a*y**3 = 0.
-1, 0, 1
Factor 0 + 8/3*t + 4/3*t**2 - 4/3*t**3.
-4*t*(t - 2)*(t + 1)/3
Solve 0 + 1/5*g**4 - 7*g**3 + 128/5*g**2 - 124/5*g = 0.
0, 2, 31
Let i be ((-68)/(-119))/(2/14). Let d(b) be the first derivative of 3*b**3 + 0*b + 3*b**2 - 15/4*b**i - 5. Solve d(h) = 0 for h.
-2/5, 0, 1
Let m(s) = -s**2 - s - 1. Let r = 36 + -35. Let o(i) = -3*i**2 - 15*i. Let d(w) = r*o(w) - 6*m(w). Find x, given that d(x) = 0.
1, 2
Let t(l) be the third derivative of -l**5/4 - 7*l**4/8 - l**3 + 10*l**2 - 30. Factor t(i).
-3*(i + 1)*(5*i + 2)
Let q be ((-1)/(-1))/(-6)*-2. Let d(m) be the first derivative of -4 + q*m**2 - 4/3*m + 2/9*m**3. Let d(g) = 0. What is g?
-2, 1
Let u(o) be the second derivative of o**6/45 + o**5/5 - o**4/18 - 2*o**3/3 + 758*o. Factor u(d).
2*d*(d - 1)*(d + 1)*(d + 6)/3
Find j such that 0*j**3 + 4*j**4 + 5*j - 3*j**4 - 3*j**2 - j**3 - 2 = 0.
-2, 1
Let f(z) be the third derivative of 5*z**8/336 + 2*z**7/21 + z**6/4 + z**5/3 + 5*z**4/24 - 8*z**2 - 4*z. Let f(a) = 0. What is a?
-1, 0
Factor 133*x - 56*x - 4*x**3 - 12 - 4*x**2 - 57*x.
-4*(x - 1)**2*(x + 3)
Let h(o) be the first derivative of 9 + 0*o + 0*o**2 + 1/18*o**4 + 4/27*o**3. Suppose h(p) = 0. Calculate p.
-2, 0
Let s be ((-16)/(-18))/(-4) - 3045/(-945). Solve 8/5*u**2 + 2/5*u**s + 4/5 + 2*u = 0.
-2, -1
Let g(f) = -f**3 + f + 4. Let k(q) = -q**2 - 3*q - 6. Let b be k(-2). Let l(y) = 4*y**3 - 4*y - 11. Let v(i) = b*l(i) - 11*g(i). Solve v(r) = 0.
-1, 0, 1
Let c(h) = -8*h - 725. Let q be c(-91). Factor -15/4*v**2 - 5/4 - 15/4*v - 5/4*v**q.
-5*(v + 1)**3/4
Let f = 3838/3 - 1278. Suppose -1/3*s**2 - 1/2*s**3 + 1/6*s**4 - f + 2*s = 0. What is s?
-2, 1, 2
Let r(q) = -q**5 - 2*q**4 - q**3 + 6*q**2 - 4. Let t(g) = -3*g**5 - 3*g**4 - 2*g**3 + 13*g**2 - 10. Let v(p) = 5*r(p) - 2*t(p). Factor v(c).
c**2*(c - 4)*(c - 1)*(c + 1)
Let h(t) = 2*t**4 - 29*t**3 + 34*t**2 - 33*t - 13. Let a(z) = z**4 - 14*z**3 + 17*z**2 - 16*z - 6. Let f(i) = -13*a(i) + 6*h(i). Factor f(m).
-m*(m - 5)*(m - 2)*(m - 1)
Suppose -40*t + 1/2*t**2 + 79/2 = 0. Calculate t.
1, 79
Let l(r) be the third derivative of r**8/336 + r**7/210 - 7*r**6/120 - r**5/60 + r**4/4 + 2*r**2 - 25. Find h, given that l(h) = 0.
-3, -1, 0, 1, 2
Let b(c) be the third derivative of -c**8/336 + c**7/42 - 7*c**6/120 + c**5/20 + 7*c**2 + 8. Factor b(f).
-f**2*(f - 3)*(f - 1)**2
Let o(n) be the third derivative of n**7/70 - n**6/120 - 3*n**5/20 - n**4/8 + n**3/3 + 5*n**2 - 2*n. Factor o(x).
(x - 2)*(x + 1)**2*(3*x - 1)
Let a(m) = m**3 + 12*m**2 - 5*m - 40. Let w be a(-12). Suppose -w = -7*d + 1. Determine y, given that -14/9*y**d + 4/9*y + 0 - 10/9*y**2 = 0.
-1, 0, 2/7
Let y(d) be the third derivative of -d**8/168 + 3*d**6/10 - 2*d**5/15 - 19*d**4/4 - 12*d**3 - 331*d**2. Determine u, given that y(u) = 0.
-4, -1, 3
Let p(h) be the second derivative of -h**4/18 + 73*h**3/9 - 24*h**2 + 123*h + 2. Factor p(w).
-2*(w - 72)*(w - 1)/3
Solve 75 - 35*w + 65*w**2 - 80*w - 30*w + 5*w**3 = 0 for w.
-15, 1
Let s = 1200 - 1196. Let l(p) be the third derivative of 0 - p**2 + 0*p + 1/45*p**5 + 1/945*p**7 + 1/135*p**6 + 1/27*p**3 + 1/27*p**s. Factor l(n).
2*(n + 1)**4/9
Let f(w) = 8*w**2 - 33*w + 25. Let q(a) be the first derivative of -a**3/3 + 2*a**2 - 3*a - 12. Let c(y) = -6*f(y) - 51*q(y). Factor c(h).
3*(h - 1)**2
Let 32 + 52/3*z + 2/3*z**2 = 0. What is z?
-24, -2
Let t be ((-3)/5)/(-8 - 164/(-20)). Let m be 5/t*-3 + -2. Factor 1/2*s**5 + 0*s + 0 - 1/2*s**4 - 3/2*s**2 - 5/2*s**m.
s**2*(s - 3)*(s + 1)**2/2
Let w(i) = -i**2 - 2*i - 1. Let m(c) be the first derivative of 8*c**3/3 - c**2 - 10*c + 48. Let o(a) = m(a) + 6*w(a). Let o(b) = 0. What is b?
-1, 8
Factor 5/2*c**2 - 125 - 115/2*c.
5*(c - 25)*(c + 2)/2
Let y(w) be the third derivative of w**7/315 + w**6/90 - w**5/90 - w**4/18 + 50*w**2. Let y(u) = 0. Calculate u.
-2, -1, 0, 1
Let a = -396 + 405. Factor -3*j**3 + 1/3*j**4 - a*j + 9*j**2 + 0.
j*(j - 3)**3/3
Let s = 216380/9 - 24042. Let 242/9 - 44/9*n + s*n**2 = 0. What is n?
11
Let n = 2348928710072/1516576201767 + 8/188699291. Let u = n - -6/893. Factor 4/9 + 2/9*o**4 - 10/9*o**3 + 2*o**2 - u*o.
2*(o - 2)*(o - 1)**3/9
Let m(i) be the first derivative of i**5/60 + 7*i**4/12 - 5*i**3/2 - 3*i**2 - 2. Let j(l) be the second derivative of m(l). Determine w so that j(w) = 0.
-15, 1
Factor -5/3*c**2 + 70 - 95/3*c.
-5*(c - 2)*(c + 21)/3
Let n(c) be the first derivative of -c**6/9 - 22*c**5/15 - 5*c**4 - 20*c**3/9 + 31*c**2/3 + 14*c - 309. Find r, given that n(r) = 0.
-7, -3, -1, 1
Let q(a) = a**2 - a + 2. Let s(r) = 4*r**4 - 84*r**3 + 211*r**2 + 21*r - 298. Let i(h) = -5*q(h) - s(h). Find w, given that i(w) = 0.
-1, 2, 18
Let c(i) be the first derivative of -1/32*i**4 - 1/8*i**3 + 1/80*i**5 + 2*i**2 + 0*i + 3 + 1/160*i**6. Let u(m) be the second derivative of c(m). Factor u(l).
3*(l - 1)*(l + 1)**2/4
Let o(x) = x**3 - 13*x**2 + 6. Let b(h) = 2*h**3 - 36*h**2 + 17. Let m(i) = 6*b(i) - 17*o(i). Let m(f) = 0. What is f?
0, 1
Let t be ((-34)/10 - -3)/(168/(-32) - -5). Solve t*w - 4/5*w**2 - 4/5 = 0 for w.
1
Let m be (154/1463)/(3*(-1)/(-21)). Solve 0 + 2*g**3 - m*g**4 - 16/19*g**2 - 8/19*g = 0 for g.
-2/7, 0, 1, 2
Let l(f) be the first derivative of -2*f**5/15 - 7*f**4/6 - 151. Factor l(g).
-2*g**3*(g + 7)/3
Let y be 5*(-9 - (-144)/15). Let k(r) be the second derivative of -8*r + 7/3*r**4 + 4/3*r**y + 0*r**2 + 0. Factor k(v).
4*v*(7*v + 2)
Let s(q) = -3 - 1 + 20*q - 53*q**2 + 56*q**2. Let o be s(-7). Factor -2/7*f**o + 2/7*f**2 + 0 + 0*f.
-2*f**2*(f - 1)/7
Let i(a) = 145*a**3 + 1330*a**2 + 7820*a - 9295. Let d(g) = -13*g**3 - 121*g**2 - 711*g + 845. Let p(u) = 45*d(u) + 4*i(u). Factor p(h).
-5*(h - 1)*(h + 13)**2
Let q(w) be the second derivative of w**4/6 + 14*w**3/3 - 15*w**2 - 4*w + 13. Factor q(x).
2*(x - 1)*(x + 15)
Let i(n) = -4*n + 28. Suppose 0 = 3*a - 17 - 4. Let x be i(a). Factor -14/5*o**2 + x + 4/5*o.
-2*o*(7*o - 2)/5
Solve 2*a**3 + 48*a**2 + 14*a - 12*a**4 + 32*a**5 + 18*a - 30*a**5 = 0 for a.
-1, 0, 4
Factor -3*v + 23*v**3 - 58*v**3 + 36*v**3 - 2.
(v - 2)*(v + 1)**2
Determine p so that -12*p + 2*p**5 + 1708*p**2 - 2*p**4 - 1682*p**2 + 0*p**5 - 14*p**3 = 0.
-3, 0, 1, 2
Let t(r) = -164*r**3 + 220*r**2 + 336*r - 64. Let s(o) = 33*o**3 - 44*o**2 - 67*o + 13. Suppose 92*m = 98*m + 18. Let i(y) = m*t(y) - 16*s(y). Factor i(p).
-4*(p - 2)*(p + 1)*(9*p - 2)
Suppose -70*o = -80*o + 80. Let l(s) be the third derivative of 1/160*s**6 + 3/2*s**4 + 0 + 2*s**2 + 0*s + o*s**3 + 3/20*s**5. Let l(n) = 0. Calculate n.
-4
Let b(z) be the third derivative of z**5/30 + z**4/12 + z**3 - 2*z**2. Let x be b(-3). Find r such that 8*r**2 - 8 + 6*r - x*r + r**3 + 11*r**3 + 0*r**3 = 0.
-1, -2/3, 1
Suppose -3*y - 2*t + 15 = 2*y, 2*y - 6 = -5*t. Let p be -2 + 14/15*y. Find g, given that p*g**2 + 0 + 4/5*g = 0.
-1, 0
Let c = 21/2 - 10. Find d such that -1/2*d**4 + 1/2*d**2 - 1/2*d + c*d**3 + 0 = 0.
-1, 0, 1
Let h(j) be the third derivative of 0*j**3 + 23*j**2 + 0*j**4 - 1/20*j**5 + 0 + 0*j. Suppose h(s) = 0. Calculate s.
0
Let w(b) = b - 3. Let a be w(5). Let l be (2/10)/1*5*a. Factor -1/2*m + 1/2 - 1/2*m**l + 1/2*m**3.
(m - 1)**2*(m + 1)/2
Factor -x**3 + 35*x**2 - 17 + 40*x - 9 - 4*x**3 + 26.
-5*x*(x - 8)*(x + 1)
Find m such that -170*m - 69 + 69 - 3*m**2 + 20*m = 0.
-50, 0
Factor 3/5*j**2 - 273/5 + 54*j.
3*(j - 1)*(j + 91)