(-10 - -21)). Factor -1/4*m**2 + 1/2*m**c + 0*m + 0.
m**2*(2*m - 1)/4
Let s = -1601/10 + 1609/10. Factor 2/5*k**3 + 0 - s*k**2 + 2/5*k.
2*k*(k - 1)**2/5
Let q be 3/(-1) - -4 - -2. Suppose 5 = 5*f + y, f + 0*y = -q*y - 13. Solve 30*r**3 - 34*r**4 - 40*r**2 - f*r**5 + 34*r**4 - 3*r**5 + 15*r = 0 for r.
-3, 0, 1
Let z(g) be the third derivative of -g**5/45 + 7*g**4/18 + 4*g**3 + 5*g**2 - 5*g. Find t such that z(t) = 0.
-2, 9
Let m(u) be the third derivative of u**10/37800 - u**8/5040 + 17*u**5/60 - 17*u**2. Let f(j) be the third derivative of m(j). Find h such that f(h) = 0.
-1, 0, 1
Let u = 1/11220 + 149597/33660. Solve -4 - 4/9*z**2 - u*z = 0.
-9, -1
Let j(w) be the third derivative of -w**8/100800 + w**7/6300 - w**6/1200 + 11*w**5/60 - 11*w**2. Let u(h) be the third derivative of j(h). Factor u(b).
-(b - 3)*(b - 1)/5
Let y = 373/5 - 731/10. Let q be (-4)/22 + 148/88. Let -y*t + 3/2*t**3 - 3/2 + q*t**2 = 0. What is t?
-1, 1
Let c(k) = -k - 2*k + 5*k - k**2 - k - k**3. Let l(q) = q**4 + 9*q**3 + 7*q**2 - 9*q + 1. Let z(v) = 18*c(v) + 2*l(v). Determine i so that z(i) = 0.
-1, 1
Let t(v) be the third derivative of 0*v + 11*v**2 - 1/10*v**4 + 1/100*v**5 + 0 + 3/10*v**3. Factor t(c).
3*(c - 3)*(c - 1)/5
Let n = 70 - 67. Let x(m) be the first derivative of -1/9*m**4 - 5 + 0*m**5 + 1/27*m**6 + 0*m + 1/9*m**2 + 0*m**n. Factor x(t).
2*t*(t - 1)**2*(t + 1)**2/9
Let v(u) be the second derivative of -3*u**5/20 - 10*u**4 - 200*u**3 + 13*u. Solve v(p) = 0 for p.
-20, 0
Let g = 47 + -45. Let -2*p**g - 66 + 0*p + p + 66 = 0. Calculate p.
0, 1/2
Suppose -877*g = -868*g - 45. Let k(v) be the second derivative of 8/15*v**6 + 0*v**2 + 5/3*v**4 - 8/5*v**g + 0 + 11*v - 2/3*v**3. Factor k(y).
4*y*(y - 1)*(2*y - 1)**2
Suppose 0 = 4*h - 8. Suppose -h*u - 2*u = -12. Find b such that 4*b - 8*b**4 - 16*b**3 - 2*b**2 + b**4 - u*b**4 + 0*b**2 = 0.
-1, 0, 2/5
Let c(z) be the third derivative of 1/4*z**4 - 2/3*z**3 + 0*z + 4*z**2 + 0 - 1/30*z**5. Factor c(j).
-2*(j - 2)*(j - 1)
Let y(p) be the second derivative of p**9/83160 - p**8/36960 - p**7/6930 - 4*p**4/3 + 2*p. Let f(i) be the third derivative of y(i). Factor f(m).
2*m**2*(m - 2)*(m + 1)/11
Let h = 1571/1010 - -9/202. Let x(m) be the first derivative of -h*m**2 + 8/5*m**3 - 4/5*m**4 + 4/25*m**5 + 4/5*m + 7. Determine a so that x(a) = 0.
1
Let h(j) be the third derivative of 1/21*j**4 + 0 - 3*j**2 + 0*j - 1/7*j**3 - 1/210*j**5. Factor h(n).
-2*(n - 3)*(n - 1)/7
Determine o so that 0 - 30/7*o**2 - 48/7*o**3 - 22/7*o**4 - 4/7*o = 0.
-1, -2/11, 0
Suppose 0 = -2*u + 6*u. Let r = 134 - 131. Suppose 1/2*s**4 + 0 + u*s**2 - 3/4*s**r + 1/4*s = 0. Calculate s.
-1/2, 0, 1
Let j(g) = 3*g**2 - 9*g - 2. Let n(u) be the second derivative of 2*u + 1/12*u**4 - 1/2*u**2 - 1/2*u**3 + 0. Let m(q) = -3*j(q) + 8*n(q). Factor m(c).
-(c - 2)*(c - 1)
Let p = 50 + -41. Let u = 123/13 - p. Solve 4/13*l**3 - u*l**4 + 2/13*l**5 + 0*l + 0*l**2 + 0 = 0.
0, 1, 2
Let v be ((-5)/2 - -1) + 2. Suppose -17*m + 14 = -3*m. What is n in 3/2*n - m - v*n**2 = 0?
1, 2
Suppose i + 3*i + 3*t = 16, -i + 4 = -5*t. Solve 5*l**2 - l**4 - 2*l**3 - 5*l**2 + i*l**2 + 2*l**5 - 3*l**4 = 0.
-1, 0, 1, 2
Let v(z) = -z**2 - 3*z - 27. Let j be v(-14). Let s = 181 + j. Factor -1/2*a**2 - 1/2*a + s.
-a*(a + 1)/2
Suppose 4*i - 6*y - 40 = -y, 0 = -3*i + 4*y + 31. Let h(o) be the first derivative of 0*o**3 - i + 1/8*o**4 - 1/4*o**2 + 0*o. Factor h(n).
n*(n - 1)*(n + 1)/2
Let a = -31 - -38. Suppose 13*q - a = 12*q. Solve -7*d**2 + 2*d**2 + q*d**4 - 5*d**3 + d**4 + 5*d - 3*d**4 = 0 for d.
-1, 0, 1
Let j(z) be the first derivative of 0*z - 20 - 2/33*z**3 - 2/11*z**2 + 1/22*z**4. What is i in j(i) = 0?
-1, 0, 2
Let b = 5843/29580 + -7/493. Let x(f) be the third derivative of -2*f**2 - 1/3*f**3 - 13/24*f**4 - b*f**5 + 0*f + 0. Solve x(j) = 0.
-1, -2/11
Let j = 839495/266 - 3156. Let v = j - -1069/1330. What is h in -v*h - 4/5*h**2 + 0 = 0?
-1, 0
Solve -36/7*i**2 + 64/7 - 16/7*i - 11/7*i**3 - 1/7*i**4 = 0.
-4, 1
Let m(c) be the third derivative of -c**5/20 + 7*c**4/24 - 2*c**3/3 - 15*c**2 - c. Suppose m(r) = 0. Calculate r.
1, 4/3
Let v be 2 - (-1)/(798/(-1838)). Let s = -1/57 - v. Find x, given that 0 - s*x**2 + 4/7*x**3 - 4/7*x + 2/7*x**4 = 0.
-2, -1, 0, 1
Let b be (-3312)/736 + 18/4. Factor b*d - 4/5*d**2 + 0 + 4/5*d**3.
4*d**2*(d - 1)/5
Let s(m) be the third derivative of -5*m**8/1008 + m**7/18 + m**6/9 - 5*m**2 + 17*m. Factor s(f).
-5*f**3*(f - 8)*(f + 1)/3
Let i = 607/6 - 101. Let p(n) be the second derivative of 0*n**4 + 0*n**6 - i*n**3 + 0*n**2 - 4*n + 1/10*n**5 + 0 - 1/42*n**7. Solve p(x) = 0.
-1, 0, 1
Let z(q) = -22*q**3 - 1315*q**2 + 72576*q - 139961. Let l(b) = 9*b**3 + 657*b**2 - 36288*b + 69981. Let h(o) = -7*l(o) - 3*z(o). Factor h(c).
3*(c - 108)**2*(c - 2)
Let r(i) = -i**2 + 4*i - 7. Let n be r(3). Let m(b) = b**2 + 2*b - 6. Let o be m(n). Factor -3/5*d - 3/5*d**o + 6/5.
-3*(d - 1)*(d + 2)/5
Suppose -5*g + 12 + 48 = 0. Determine o, given that -2 + g*o**2 + 24*o**3 - 20*o + 9 - 3 - 16*o**4 - 4*o**3 = 0.
-1, 1/4, 1
Let y(q) be the first derivative of -q**6/180 + q**5/60 + q**4/6 - 13*q**3/3 - 10. Let g(d) be the third derivative of y(d). Let g(j) = 0. Calculate j.
-1, 2
Let k be (-18)/((-272)/116 + 2). Let y = k - 2851/55. Factor y*z + 0 + 2/11*z**2.
2*z*(z + 2)/11
Let k(s) = 30*s**3 - 65*s**2 - 1025*s - 1995. Let y(h) = -5*h**3 + 11*h**2 + 171*h + 333. Let u(v) = -6*k(v) - 35*y(v). Factor u(i).
-5*(i - 7)*(i + 3)**2
Let c(o) be the second derivative of o**6/2 + 7*o**5/4 + 25*o**4/12 + 5*o**3/6 + 22*o. Factor c(w).
5*w*(w + 1)**2*(3*w + 1)
Let f(j) be the first derivative of 6/5*j**5 + 3/2*j**2 + 0*j**4 + 0*j + 8 - 1/2*j**6 - 2*j**3. What is k in f(k) = 0?
-1, 0, 1
Suppose -s - 4 = 2*d - 3*s, -3*d - 3*s = -6. Factor 2/7*o**3 - 2/7*o**5 + 2/7*o**4 + d*o - 2/7*o**2 + 0.
-2*o**2*(o - 1)**2*(o + 1)/7
Suppose 2*f + d = 6, -2*d = -f - 4*f + 6. Factor -2/11*t**4 - 2/11*t + 2/11*t**f + 2/11*t**3 + 0.
-2*t*(t - 1)**2*(t + 1)/11
Factor -1046 - 4*z**3 - 4*z**2 + 1046.
-4*z**2*(z + 1)
Let h(q) be the first derivative of 2*q**3/15 - 284*q**2/5 + 40328*q/5 + 835. Solve h(p) = 0.
142
Let n(g) be the second derivative of g**5/90 + 22*g**4/9 + 484*g**3/3 + 523*g. Factor n(x).
2*x*(x + 66)**2/9
Let 5*z**5 + 5*z**5 - 8*z**2 + 18*z**5 - 21*z**5 - 5*z + 6*z**3 + 16*z**4 = 0. What is z?
-1, 0, 5/7
Let c(z) be the first derivative of z**5/10 + 13*z**4/8 + 17*z**3/2 + 35*z**2/4 - 50*z + 102. Solve c(v) = 0.
-5, -4, 1
Let m(q) be the first derivative of 12/5*q**5 - 5*q**4 + 8/3*q**3 + 0*q + 24 + 0*q**2. Determine f, given that m(f) = 0.
0, 2/3, 1
Let j = -12557/11 + 1143. Find x, given that j*x - 14/11*x**3 - 2/11*x**2 - 2/11*x**5 + 10/11*x**4 - 8/11 = 0.
-1, 1, 2
Let a(l) = 12*l**5 + 9*l**4 + 17*l**3 - 5*l**2 + 11*l. Let m(p) = p**5 + p**3 + p**2 + p. Let c(j) = -4*a(j) + 44*m(j). Let c(z) = 0. Calculate z.
-8, -2, 0, 1
Factor 98*x**4 - 9731*x + 1899*x**3 + 201*x**3 + 796 + 3131*x + 172 + 10634*x**2.
2*(x + 11)**2*(7*x - 2)**2
Let z = -36 + 40. Factor 32*w + 3 - 26*w - 6*w**3 + 0*w**4 - 3*w**z.
-3*(w - 1)*(w + 1)**3
Let h = 54 + -52. Suppose -2*s = -4*i + 6, i + h*i = 2*s + 4. Factor 3/2 - v**3 - 2*v**i + v + 1/2*v**4.
(v - 3)*(v - 1)*(v + 1)**2/2
Factor 0*n + 56/5*n**4 + 6*n**5 + 22/5*n**3 - 4/5*n**2 + 0.
2*n**2*(n + 1)**2*(15*n - 2)/5
Factor 18/7 - 192/7*b**2 + 174/7*b.
-6*(b - 1)*(32*b + 3)/7
Let f(h) be the second derivative of -225/13*h**2 - 1/78*h**4 - 10/13*h**3 + 0 - 32*h. Factor f(i).
-2*(i + 15)**2/13
Let j(y) = 7*y**2 + 35*y + 47. Let i(t) = -20*t**2 - 104*t - 146. Let n(z) = -5*i(z) - 14*j(z). Factor n(q).
2*(q + 3)*(q + 12)
Let v be (5/2 + -7)*(-22)/132. Find r such that -9/8*r**2 + 0 + 3/8*r**3 + v*r = 0.
0, 1, 2
Let l(o) be the third derivative of o**6/300 - o**5/150 - o**4/12 - o**3/5 + 85*o**2. Solve l(t) = 0 for t.
-1, 3
Factor 0*d + 0 - 4/7*d**3 + 2/7*d**2 + 2/7*d**4.
2*d**2*(d - 1)**2/7
Factor 50*l**2 - 107*l**2 + 54*l + 54*l**2.
-3*l*(l - 18)
Let d = -24 + 107. Let t = -329/4 + d. Let -t*o + 0 + 1/4*o**2 = 0. What is o?
0, 3
Let z(d) be the third derivative of d**5/60 + 167*d**4/24 - 28*d**3 + 207*d**2. Suppose z(b) = 0. What is b?
-168, 1
Let p be ((-8)/(-16))/((-3)/(-12)). What is d in 5*d**3 + 6*d - 2 - 2*d**3 + 2 + 9*d**p = 0?
-2, -1, 0
Let t = 1229/3 + -819/2. Let f(