+ 1)*(c + 2)*(2*c - 1)/8
Let w(s) be the first derivative of 0*s**2 + 1/4*s**4 + 0*s - 1 + 5/3*s**3. Factor w(k).
k**2*(k + 5)
Suppose -x = 5*z - 1, -4 - 2 = x - 2*z. Let g be 6/(-4) - -3*(x + 5). Factor 1 - g*r + 1/2*r**2.
(r - 2)*(r - 1)/2
Let g be -1 + (11/3 - (-74)/(-111))/1. Factor 1/3*b**g - 5/3*b + 2.
(b - 3)*(b - 2)/3
Let n = 4/103 - -293/412. Find f such that n*f - 1/4*f**3 + 1/2 + 0*f**2 = 0.
-1, 2
Suppose 0 = 5*a - 5*f - 38 + 48, -4*a + 5*f - 13 = 0. Factor -6/7*i**4 - 24/7*i**a + 48/7*i - 96/7 + 3/7*i**5 + 48/7*i**2.
3*(i - 2)**3*(i + 2)**2/7
Suppose 2*w + 765 = 769. Find l, given that 0*l**w - 2/7*l**5 - 4/7*l**4 + 0 - 2/7*l**3 + 0*l = 0.
-1, 0
Let k be 3/((-24)/(-20))*2*1. Suppose 2*q - k*m + 15 = 0, 4*m - 9*m + 15 = 3*q. Factor -2/3*o**4 + 4/3*o**3 + 2/3 + q*o**2 - 4/3*o.
-2*(o - 1)**3*(o + 1)/3
Let n(x) be the first derivative of -x**6/21 - 6*x**5/7 - 15*x**4/7 + 380*x**3/21 - 225*x**2/7 + 162*x/7 + 5. Let n(i) = 0. What is i?
-9, 1
Let x be ((-1)/7)/(-7 + (-6)/(-504)*548). What is k in -1/10*k**3 - x*k**2 + 0*k + 0 = 0?
-3, 0
Let y = -4525 - -27157/6. Solve 7/6*r**2 - 1/6*r**3 - y + 1/6*r = 0 for r.
-1, 1, 7
Let s(g) be the third derivative of -1/7*g**4 + 0*g + 1/140*g**5 + 0 + 8/7*g**3 + 12*g**2. Let s(p) = 0. Calculate p.
4
Suppose 3*h - 8*h - 5*l = -40, 5*l = -4*h + 35. Let q be (h - 2) + (-5 - -2). Let -2*b**2 - 3*b**2 - 5*b + q*b**2 = 0. What is b?
-1, 0
Suppose 0 = -33*c + 15*c + 36. Determine d so that -6*d**4 - 14*d**3 + 40/3*d + 16/3 + 4/3*d**c = 0.
-2, -2/3, 1
Let m be 4/14 + 60/35. Factor 3*i - 1 + i**m + 6 - 3.
(i + 1)*(i + 2)
Let h(r) be the third derivative of -r**11/166320 + r**9/30240 - r**5/5 - 13*r**2. Let g(y) be the third derivative of h(y). Find o, given that g(o) = 0.
-1, 0, 1
Let p be -10 + ((-32)/(-12) - (-8)/(-12)). Let o = p - -10. Factor 2/3*g**o - 2 - 4/3*g.
2*(g - 3)*(g + 1)/3
Let k(o) be the first derivative of o**4/10 + 2*o**3/3 - 4*o**2/5 - 8*o + 146. Factor k(t).
2*(t - 2)*(t + 2)*(t + 5)/5
Let o be 10/6 + -2 + 29/105. Let g = 31/70 - o. Factor -1/6*z**2 - 2/3*z - g.
-(z + 1)*(z + 3)/6
Let a(u) be the first derivative of 2*u**3/15 - 11*u**2/5 + 4*u - 277. Determine m so that a(m) = 0.
1, 10
Let t(f) = 14*f**2 + 1. Let q be t(1). Determine a, given that 6*a**3 + 39 - 39 - q*a**3 + 2*a**2 = 0.
0, 2/9
Let b(c) be the second derivative of -c**5/30 - 20*c**4/3 - 1600*c**3/3 - 64000*c**2/3 + 32*c. Let b(j) = 0. Calculate j.
-40
Factor 13179*j**2 + 570*j**3 - 4 + 8481*j**2 + 4 + 216535*j + 5*j**4 + 57825*j.
5*j*(j + 38)**3
Let y be (-2)/(-2 + 4)*-3. Factor -98*o**3 + 92*o**3 + y*o**5 + 3*o**4 + 0*o**2 + 0*o**2.
3*o**3*(o - 1)*(o + 2)
Let z(w) = w**2 - 118*w - 1925. Let m(l) = 5*l**2 - 710*l - 11549. Let g(p) = 6*m(p) - 34*z(p). What is i in g(i) = 0?
-31
Let c be 2*(-1)/(-4)*0/2. Suppose -5*g - 2*v = -5, 4*v + c*v = -4*g - 8. Solve 2/9*h**4 + 10/9*h**2 + 8/3*h**g - 4/9*h + 0 - 8/9*h**5 = 0 for h.
-1, 0, 1/4, 2
Let w = 1909/4 + -472. Let s = w + -19/4. Factor -1/2*n + s*n**2 - 1.
(n - 2)*(n + 1)/2
Let s = 4 - 1. Let r be 7 - 150/45 - 1. What is j in 10/3*j + 4/3 + r*j**2 + 2/3*j**s = 0?
-2, -1
Let l(z) = -5*z**3 + 28*z**2 + 75*z + 38. Let s(b) = -2*b**2 - 2. Let g(v) = -l(v) + s(v). Factor g(j).
5*(j - 8)*(j + 1)**2
Let f(z) = -72*z**3 - 3*z**2 + 2. Let j be f(1). Let d = j - -76. Factor -6/5*a**4 + 0*a**2 + 0*a + 3/5*a**d + 0 + 3/5*a**5.
3*a**3*(a - 1)**2/5
Suppose -4*s = -3*s + 2, 0 = f - 5*s - 12. Determine o so that -1 + 27*o + 3*o**2 - o**5 + f*o**3 - o**4 - 28*o - o**2 = 0.
-1, 1
Let r(x) = x**2 + x. Let z(n) be the third derivative of 5*n**8/336 + 5*n**7/42 + 3*n**6/8 + 5*n**5/12 - 35*n**2. Let j(q) = 10*r(q) + z(q). Factor j(t).
5*t*(t + 1)**3*(t + 2)
Suppose -1539*c + 1548*c - 18 = 0. Let 1/5*s**c + 36/5 - 12/5*s = 0. Calculate s.
6
Factor -119*c**2 + 120*c**2 - 120 + 224*c - 105*c.
(c - 1)*(c + 120)
Let x = 400271/57 + -3577368166/509523. Let b = x + 2/1277. What is t in -12/7*t**2 + b*t**3 + 6/7 - 3/7*t = 0?
-2/3, 1
Let o(x) = -x**2 + x - 3. Let k(c) = c**2 + c + 1. Let y = 23 - 20. Let b(q) = y*k(q) + o(q). Suppose b(w) = 0. Calculate w.
-2, 0
Let m be 321/(-21)*11/((-22)/108). Let r = m - 822. Factor 48/7 + 3/7*q**2 + r*q.
3*(q + 4)**2/7
Let j(z) = z**4 - z**2 + z + 1. Let x(b) = -8*b**4 + 236*b**3 - 4784*b**2 + 36096*b - 54876. Let p(k) = -4*j(k) - x(k). Suppose p(s) = 0. Calculate s.
2, 19
Suppose 3 = -4*k + 11. Let j = -1 - -4. Let -9 + 8*r + 3*r**k + r - j*r = 0. Calculate r.
-3, 1
Let r = 1772/165 + -4/55. Suppose -2/3*q**2 - 16/3*q - r = 0. Calculate q.
-4
Let c = -187/1043 - -48/149. Determine x so that -1/7*x + 0 - c*x**2 = 0.
-1, 0
Let u be 0 + 1/((-3)/(-9)). Let d = -64 - -67. Suppose 7*c**u - 2*c**d + 8*c**2 - c**3 = 0. What is c?
-2, 0
Let n(g) be the second derivative of -g**6/20 - 3*g**5/4 - 37*g**4/8 - 15*g**3 - 27*g**2 - 105*g. Factor n(m).
-3*(m + 2)**2*(m + 3)**2/2
Suppose -16*g + 7*g + 54 = 0. Let r(b) = -b**2 + b + 1. Let f(x) = 5*x**3 + 9*x**2 - 14*x - 54. Let k(p) = g*r(p) - f(p). Let k(z) = 0. Calculate z.
-3, -2, 2
Suppose -22 = -11*q + 11. Let j(s) = -3*s**2 - 8*s - 5. Let f(y) = -1. Suppose -5*m + 1 - 16 = 0. Let z(o) = m*f(o) + q*j(o). Determine d, given that z(d) = 0.
-2, -2/3
Let w(r) be the second derivative of -3/4*r**2 + 0 + 1/4*r**3 - 24*r + 1/8*r**4 - 3/40*r**5. Suppose w(d) = 0. Calculate d.
-1, 1
Let r(v) be the third derivative of -v**7/630 - v**6/240 + v**5/120 + 5*v**4/6 + 36*v**2. Let w(l) be the second derivative of r(l). Factor w(i).
-(i + 1)*(4*i - 1)
Suppose -3*b = 4*m - 913, -3*b = 4*m - b - 910. Find l, given that -2*l**4 + 2*l**2 + m*l**3 - 226*l**3 - l + l**5 = 0.
-1, 0, 1
What is m in -74/19*m - 2/19*m**2 - 320/19 = 0?
-32, -5
Let h(d) = -d**3 + 2*d. Let a be h(2). Let m be (a/(-7))/((-4)/(-14)). Let -i**4 + 4*i**m + 7*i**4 - 6*i**3 - 2*i**5 - 2*i**2 = 0. Calculate i.
0, 1
Let b(l) be the first derivative of 2/15*l**6 + 9/5*l**4 - 4/5*l**5 - 28/15*l**3 + 0*l - 1 + 4/5*l**2. Factor b(r).
4*r*(r - 2)*(r - 1)**3/5
Let v = -10769 + 904607/84. Let o = v + 1/84. Factor 0 + 3/7*q**2 + 2/7*q**3 + o*q.
q*(q + 1)*(2*q + 1)/7
Let n(v) be the second derivative of v**6/15 + v**5/15 - v**4/3 - 2*v**3/3 + v**2/2 + 7*v. Let w(y) be the first derivative of n(y). Factor w(x).
4*(x - 1)*(x + 1)*(2*x + 1)
Suppose 0 + 36/7*q + 3/7*q**2 = 0. Calculate q.
-12, 0
Let v = -212 + 214. Let q(l) be the second derivative of 16/3*l**3 + 95/24*l**4 + 3*l**v + 5/8*l**5 - 3*l + 0. Determine z, given that q(z) = 0.
-3, -2/5
Let p = 3510 - 17549/5. Let y be (0 + -3)*(-2)/30. Solve 0 + 1/5*x**3 - y*x + p*x**4 - 1/5*x**2 = 0 for x.
-1, 0, 1
Let v(g) be the first derivative of g**3/6 - 5*g**2/4 + 3*g - 91. Factor v(x).
(x - 3)*(x - 2)/2
Let i(v) be the first derivative of v**8/784 + v**7/490 - v**6/280 - v**5/140 + 16*v**2 - 15. Let b(q) be the second derivative of i(q). Factor b(r).
3*r**2*(r - 1)*(r + 1)**2/7
Let f(b) be the first derivative of b**5/5 - 4*b**3 + 8*b**2 - 209. Solve f(d) = 0.
-4, 0, 2
Suppose -12 = -7000*n + 6997*n. Let o(z) be the third derivative of 5*z**2 + 0*z - 5/3*z**3 + 15/8*z**n - z**5 + 0 + 5/24*z**6. Factor o(p).
5*(p - 1)**2*(5*p - 2)
Let v(t) be the third derivative of -t**6/60 + 85*t**2. Solve v(p) = 0.
0
Factor -479*n**2 + 484*n**2 - 4*n + 0*n**3 - n**3.
-n*(n - 4)*(n - 1)
Let m(p) be the second derivative of -p**6/15 + p**5/5 + p**4/2 - 4*p**3/3 - 4*p**2 - 26*p - 2. Determine b so that m(b) = 0.
-1, 2
Let h(r) = -8*r**2 - 8*r. Let u(g) = 20*g**2 + 20*g. Suppose 7*o - 15 = 4*o. Let b(l) = o*u(l) + 12*h(l). Suppose b(j) = 0. What is j?
-1, 0
Let h be 9/(-1) + (-11323)/(-1014). Factor -2*x + h*x**2 - x**3 + 2/3 + 1/6*x**4.
(x - 2)**2*(x - 1)**2/6
Let w(a) be the first derivative of -4*a**3/21 + 30*a**2 + 327. Suppose w(v) = 0. What is v?
0, 105
Let i be 137/(-399) - (-10)/95. Let q = i - -19/21. Factor 1/3*m**2 + 1/3*m**4 - q + m - m**3.
(m - 2)*(m - 1)**2*(m + 1)/3
Factor -25*s + 12 - 32*s**2 + 13*s - 4*s**3 - 2*s**3 + 17*s + 21*s.
-2*(s - 1)*(s + 6)*(3*s + 1)
Let z(w) be the first derivative of -w**4/4 - 10*w**3/3 + 2*w**2 + 40*w - 34. Factor z(l).
-(l - 2)*(l + 2)*(l + 10)
Let y be (-2938)/39 - 2/3. Let j = y + 79. Find q, given that 0*q**2 - 1/2 - 1/4*q**j + 3/4*q = 0.
-2, 1
Suppose -65 - 78 - 2*a**2 + 87 + 20*a + 6*a**2 = 0. Calculate a.
-