ative of -3*x**2 + 5/6*x**3 + 0 - 1/12*x**4 - 4*x. Solve i(m) = 0 for m.
2, 3
Let y = -59 + 63. Suppose 0 = 5*d + 10, -2*s + y*d + 17 = 1. Factor 1/4*w + 0 + 0*w**3 - 1/4*w**5 + 1/2*w**s - 1/2*w**2.
-w*(w - 1)**3*(w + 1)/4
Let z = 49 + -44. Suppose z*q - 64 = -49. Suppose -4/11*y + 10/11*y**q + 0 - 6/11*y**2 = 0. What is y?
-2/5, 0, 1
Factor -50*g**3 + 590*g**2 - 41 + 129 + 47237*g - 47685*g.
-2*(g - 11)*(5*g - 2)**2
Let c(l) be the second derivative of l**5/90 - l**4/9 + 4*l**3/9 - 11*l**2/2 - 3*l. Let v(h) be the first derivative of c(h). Factor v(s).
2*(s - 2)**2/3
Let p = 3502/15 - 1167/5. Let y(v) be the second derivative of p*v**4 + 11*v - 6/5*v**2 + 0 - 4/15*v**3. Factor y(g).
4*(g - 3)*(g + 1)/5
Let q be 6293/(-58) + (2/(-4) - -1). Let j = q - -328/3. Factor 0 + 0*u - 2/3*u**3 + j*u**2.
-2*u**2*(u - 2)/3
Factor 729/4 - 1701/4*p + 621/2*p**2 - 149/2*p**3 - 1/4*p**5 + 29/4*p**4.
-(p - 9)**3*(p - 1)**2/4
What is d in -2/3 + 22/9*d**4 - 8/9*d + 4/9*d**5 + 4*d**3 + 16/9*d**2 = 0?
-3, -1, 1/2
Factor -5*d**3 - 113 + 156*d - 996*d - 607 - 125*d**2.
-5*(d + 1)*(d + 12)**2
Let m(l) be the third derivative of 1/3*l**3 + 0 + 1/270*l**5 - 4*l**2 + 1/18*l**4 + 0*l. Find b, given that m(b) = 0.
-3
Suppose -5*t + 0*t = -140. Suppose t = 4*f - 4*q, -2*q = 5*f - 5*q - 25. Factor -m**3 + 5*m**5 + f*m**3 - 6*m**5.
-m**3*(m - 1)*(m + 1)
Let j(b) be the second derivative of -b**6/420 - 3*b**5/70 + b**4/4 - 5*b**3/6 + 23*b. Let f(m) be the second derivative of j(m). Factor f(q).
-6*(q - 1)*(q + 7)/7
Let g(k) be the first derivative of -1/26*k**4 - 2/39*k**3 + 1/39*k**6 - 12 + 2/65*k**5 + 0*k**2 + 0*k. Factor g(r).
2*r**2*(r - 1)*(r + 1)**2/13
Let c = -23 - -28. Solve -q**5 + 4*q**2 - c*q**4 + 8*q**4 - 6*q**4 = 0 for q.
-2, 0, 1
Determine v, given that -23/4*v + 17/2*v**2 - 17/4*v**3 + 9/8 + 3/8*v**4 = 0.
1/3, 1, 9
Let f = -125 - -127. Let l be (0/(-3) + 4)*1. Solve f*u**2 + 2*u - 2*u**4 + u**3 + 0*u**l - 3*u**3 = 0.
-1, 0, 1
Let n(s) be the third derivative of s**6/280 + s**5/35 - 11*s**4/56 + 3*s**3/7 - s**2 + 3. Factor n(d).
3*(d - 1)**2*(d + 6)/7
Let n(m) be the third derivative of m**8/6720 - m**7/1260 + m**6/720 - m**4/2 + 8*m**2. Let b(j) be the second derivative of n(j). Find z, given that b(z) = 0.
0, 1
Let m = 136 + -131. Suppose -m*l = a - 21, 0 = -3*l + a + 2*a + 9. Let -1/2*p**5 + 1/2 - 3/2*p**l + 3/2*p - p**3 + p**2 = 0. Calculate p.
-1, 1
Let i(d) = -d**3 + 22*d**2 + 3*d - 67. Let c be i(22). Let r be -1 - -2 - ((-4)/(-6) + c). Factor -r*l + 2*l**2 - 2/3*l**3 + 0.
-2*l*(l - 2)*(l - 1)/3
Suppose 0 = m, -3*s = -7*s + 2*m. Suppose 0*q = 2*q - 4*p, q = 3*p - 3. Determine a so that s - q*a**2 + 3/2*a - 15/2*a**3 = 0.
-1, 0, 1/5
Let f be -3 + (0 - (-5 + 5)) + 3. Let g(w) be the first derivative of f*w**3 - 1/25*w**5 + 0*w**4 + 0*w + 1/30*w**6 + 3 + 0*w**2. Factor g(r).
r**4*(r - 1)/5
Suppose 23 = 4*b + s, 3*b = -b - 4*s + 32. Solve g**5 + b + 10*g**2 + 4*g - 19*g + 4*g**5 + 10*g**3 - 31*g**4 + 16*g**4 = 0 for g.
-1, 1
Let b = -13 + 17. Solve 12*z**3 + 11*z**4 - 16*z - z**4 - 10*z**4 - 4*z**b = 0.
-1, 0, 2
Let j = -1303 + 1306. Solve 0 + 1/7*y - 1/7*y**j + 0*y**2 = 0 for y.
-1, 0, 1
Factor -20*w + 4*w**2 + 6 - 3 + 11 + 3 + 7.
4*(w - 3)*(w - 2)
Let p be (7 - 7 - 1) + (4 - -1). Factor -2*g**2 + 171 - p*g - 171 + 2*g**3.
2*g*(g - 2)*(g + 1)
Let s be (-2)/((-2)/(-13) + 16998/(-111670)). Let k = -1225 - s. Factor -3/7 - k*i**2 + 18/7*i.
-3*(i - 1)*(5*i - 1)/7
Let g(l) = -l + 5. Let n be g(3). Suppose 2 = -6*c + 7*c. Factor 4*y**5 - c*y**n - 2*y - 12 + 10*y**4 + 12 + 6*y**3.
2*y*(y + 1)**3*(2*y - 1)
Let c(b) = b**5 + b**3 - b**2 - b - 1. Let k(q) = 3*q**5 - 12*q**4 - 29*q**3 + 61*q**2 + 73*q + 1. Let p(y) = c(y) + k(y). Suppose p(a) = 0. Calculate a.
-2, -1, 0, 3
Let s(q) = -q**2 - 103*q + 1380. Let j be s(-115). Solve -1/8*r**2 + j - 3/8*r = 0 for r.
-3, 0
Suppose 3*o = -3*y - 3, y + 21 = 5*o - o. Suppose v + o*s + 12 = -s, 3*s = 3*v - 18. Factor -17 + v*f**2 + 17.
3*f**2
Suppose -5*n = 5*a - 23 - 7, 4*n - 2*a = 18. Let c be ((-4)/(-10))/(n/25). Factor c*w + 2*w**3 + 3*w**2 - 2*w + w**3.
3*w**2*(w + 1)
Let c(j) be the first derivative of j**6/6 + 6*j**5/5 + 3*j**4 + 8*j**3/3 + 65. Factor c(w).
w**2*(w + 2)**3
Let l(k) be the first derivative of -k**6/30 - 8*k**5/25 - 5*k**4/4 - 38*k**3/15 - 14*k**2/5 - 8*k/5 + 844. Factor l(j).
-(j + 1)**2*(j + 2)**3/5
Let b = 9 + -4. Suppose 3 = -2*h - 5, 2*k = b*h + 30. Solve -k*z**2 + 9*z**4 - 8 + 8 + z - 3*z + 6*z**3 = 0 for z.
-1, -1/3, 0, 2/3
Let x(w) be the second derivative of -5*w**6/42 + 2*w**5/7 - 4*w**4/21 - 59*w + 2. Suppose x(m) = 0. Calculate m.
0, 4/5
Let t(l) be the third derivative of l**7/1365 - l**6/26 + 253*l**5/390 - 35*l**4/13 + 196*l**3/39 - 5*l**2. Factor t(z).
2*(z - 14)**2*(z - 1)**2/13
Let q(f) be the second derivative of f**6/60 - 13*f**5/10 + 153*f**4/4 - 1445*f**3/3 + 4913*f**2/4 + 814*f. Factor q(k).
(k - 17)**3*(k - 1)/2
Let x(c) be the third derivative of 5*c**8/504 - 13*c**7/315 - 11*c**6/180 + 13*c**5/90 + c**4/6 + 226*c**2. Solve x(k) = 0 for k.
-1, -2/5, 0, 1, 3
Let p(q) = -q**2 - q + 1. Let s(x) = -x**3 - 41*x**2 - 8*x + 41. Let n(y) = -36*p(y) + 4*s(y). Factor n(j).
-4*(j - 1)*(j + 1)*(j + 32)
Let a(k) be the first derivative of -7/24*k**6 - 47/6*k**3 - 8 - 6*k**4 - 11/5*k**5 - 41/8*k**2 - 3/2*k. Determine h, given that a(h) = 0.
-3, -1, -2/7
Solve 230/7*m - 96/7 - 2*m**2 = 0.
3/7, 16
Let c be (14/35 - 2/5)/3. Let l(i) be the third derivative of c*i + 1/150*i**5 + 3*i**2 + 1/30*i**4 + 0*i**3 + 0 - 1/300*i**6. Determine w so that l(w) = 0.
-1, 0, 2
Determine l, given that -256/3 + 52*l**2 - 28/3*l**3 - 24*l = 0.
-1, 2, 32/7
Suppose 177*z - 322 - 387 = -178. Factor -72/5 - 24/5*a**z + 24/5*a + 2/5*a**4 + 14*a**2.
2*(a - 6)**2*(a - 1)*(a + 1)/5
Let z(g) = -2*g**3 - 2*g. Let i(a) = -12*a**3 - 17*a**2 + 8*a + 5. Let w(m) = -i(m) + 4*z(m). Factor w(s).
(s - 1)*(s + 5)*(4*s + 1)
Factor -31/8*m**2 + 1/8*m**3 + 187/8*m + 867/8.
(m - 17)**2*(m + 3)/8
Let v(k) = 5*k**4 - 58*k**3 + 209*k**2 - 150*k. Let l(m) = -5*m**4 + 60*m**3 - 210*m**2 + 150*m. Let s(w) = 6*l(w) + 5*v(w). Factor s(q).
-5*q*(q - 10)*(q - 3)*(q - 1)
Let x(z) = 2*z**2 + z - 4. Let g be x(2). Suppose -3*r = -k - 4, 5*k + 0*k - 2*r = g. Factor 0*p**2 + 2 + p**2 - 2*p**k + p.
-(p - 2)*(p + 1)
Find h, given that 23*h**2 - 5*h**2 - 9*h**4 + 6*h**3 - 3*h + 321*h**5 + 1 - 324*h**5 - 10 = 0.
-3, -1, 1
Let a(o) be the first derivative of 28 - 2/51*o**3 + 0*o + 2/17*o**2. Factor a(u).
-2*u*(u - 2)/17
Let t = 23 - 13. Let b be (0 + 30/(-8))*168/(-63). Determine f so that t*f + 9*f**2 + 20*f**3 + 2 + 0 + 11*f**2 + 2*f**5 + b*f**4 = 0.
-1
Suppose 4*u - 15 + 3 = 0. Factor -3*h - 6*h - 4*h**2 - 2*h - 4 + u*h.
-4*(h + 1)**2
Let t(k) be the first derivative of 21*k**5/5 + 69*k**4/4 + 6*k**3 + 59. Factor t(q).
3*q**2*(q + 3)*(7*q + 2)
Let g(q) be the first derivative of -2*q**4 + 0*q**2 - 8 + 0*q + 4/3*q**3 + 4/5*q**5. Find i, given that g(i) = 0.
0, 1
Let m(v) be the first derivative of -v**4/3 - 16*v**3 - 288*v**2 + 35*v - 18. Let o(y) be the first derivative of m(y). Find d such that o(d) = 0.
-12
Let m(s) be the first derivative of 3*s**5/20 - 3*s**3/2 - 3*s**2 - 8*s - 25. Let j(c) be the first derivative of m(c). Solve j(z) = 0.
-1, 2
Factor -1 - 9*l**2 - 3/4*l**5 - 17/2*l**3 - 4*l**4 - 19/4*l.
-(l + 1)**4*(3*l + 4)/4
Let r = 1098 + -1096. Factor 0 + 0*i - 3/7*i**5 + 0*i**r - 12/7*i**3 - 12/7*i**4.
-3*i**3*(i + 2)**2/7
Factor -5*x**2 - 8*x + 2*x**4 - 7*x**2 - x**4 + 3*x**4.
4*x*(x - 2)*(x + 1)**2
Let c(h) = -h**3 + h**2 + h. Suppose -3*t - 5 + 5 = 0. Let g be c(t). Factor g + 1/4*a**3 - 1/2*a**2 + 0*a.
a**2*(a - 2)/4
Let u(d) be the second derivative of d**4/12 - 7*d**3/2 - 26*d + 1. Find c such that u(c) = 0.
0, 21
Let i(v) be the second derivative of -v**4/3 + 8*v**3 - 72*v**2 - 15*v. Determine p so that i(p) = 0.
6
Suppose k = -3*k, -5*u - k + 55 = 0. Suppose 0 = 4*f - 1 - u. Factor -14*i - 11*i - 4*i**3 + 15*i - i**f - 15*i**2.
-5*i*(i + 1)*(i + 2)
Suppose -5*i - 15 = 5. Let q(g) = g**2 + 3*g + 1. Let v be q(i). Suppose -2*b**4 + 0*b**4 - 12*b**2 + 3*b**v + 11*b**4 = 0. Calculate b.
-2, 0, 1
Let w = -18872 + 18876. Factor 2/3*u - w*u**3 + u**2 + 7/3*u**4 + 0.
u*(u - 1)**2*(7*u + 2)/3
Let o = 252/13 - -2081/65. Let s = o + -51. Let -