se 4*p = -b + 4*b - 6, -p - 5 = b. Let g = -3 - p. Suppose 2 + 8*s**3 + 2*s**4 - 4*s**2 + 16*s + g*s**2 - 4*s**5 - 20*s = 0. What is s?
-1, 1/2, 1
Let t(h) be the first derivative of h**4/48 + h**3/24 - 6*h + 3. Let n(d) be the first derivative of t(d). Let n(a) = 0. Calculate a.
-1, 0
Let t(q) = -54*q + 3674. Let u be t(68). Factor -1/2*x - 1 + 1/2*x**u.
(x - 2)*(x + 1)/2
Let c(m) be the first derivative of m**4/16 - 113*m**3/2 + 38307*m**2/2 - 2885794*m - 205. Suppose c(y) = 0. What is y?
226
Let n(v) be the third derivative of v**6/40 + 3*v**5/10 + 3*v**4/8 - 5*v**3 - 69*v**2 - 2*v. Factor n(c).
3*(c - 1)*(c + 2)*(c + 5)
Suppose -4*a + 330 = -562. Let b = a + -2003/9. Determine o so that 0 + 4*o**4 + 2*o**5 + b*o**2 + 0*o + 22/9*o**3 = 0.
-1, -2/3, -1/3, 0
Let j(l) be the first derivative of 9 + 0*l**4 + 0*l - 1/5*l**5 + 1/3*l**3 + 0*l**2. Factor j(p).
-p**2*(p - 1)*(p + 1)
Let z be (-78)/130 + 3/(15/(-22)). Let p be (0*z/(-30))/3. Factor -4/5*g**3 + 6/5*g**4 + 0*g**2 + 2*g**5 + 0 + p*g.
2*g**3*(g + 1)*(5*g - 2)/5
Let t be -8*(-5 - (-19)/4). Determine a so that 46*a**2 + 14*a**t + 0*a**4 + 5*a**3 - 5*a**4 - 140*a + 80 = 0.
-4, 1, 2
Let y(f) = f**2 - 17*f - 15. Let d be y(18). Suppose 98 = d*i + 83. Factor 5/9*x**4 - 1/9*x**i + 7/9*x**2 + 0 - 2/9*x - x**3.
-x*(x - 2)*(x - 1)**3/9
Let w = -34 + 37. Factor -9 + 16*t + 13 + t**5 + 0*t**2 + 25*t**2 + 19*t**w + 7*t**4.
(t + 1)**3*(t + 2)**2
Let a = 99 - 95. Factor 8*h**a + 12*h**4 + 20*h + 5 - 5*h - 15*h**3 - 25*h**2.
5*(h - 1)**2*(h + 1)*(4*h + 1)
Let d(z) be the first derivative of -z**5/25 + z**4/10 - z**3/15 + 90. Let d(f) = 0. Calculate f.
0, 1
Let p(s) be the third derivative of s**6/300 + 19*s**5/150 + 17*s**4/30 - 2*s**2 - 45. Factor p(l).
2*l*(l + 2)*(l + 17)/5
Let q(s) = -5*s**3 - 2*s**2 + 3*s + 4. Let b be q(-1). Suppose b*d - 18 = -2*d. Factor 1/2 - r + r**d + 0*r**2 - 1/2*r**4.
-(r - 1)**3*(r + 1)/2
Let z = -12029 + 12032. Factor -12/5*k**z + 0*k + 0 + 18/5*k**2 + 2/5*k**4.
2*k**2*(k - 3)**2/5
Let l be (-20 - -29)*(1 - (-2)/6). Suppose -l - 13 = -5*k. Factor 0*u + 0 + 0*u**2 - 3/5*u**3 + 3/5*u**k + 0*u**4.
3*u**3*(u - 1)*(u + 1)/5
Let y = 258392/7 - 36912. Factor 6/7*c**2 - 8/7*c - 8/7 + y*c**3 + 2/7*c**4.
2*(c - 1)*(c + 1)*(c + 2)**2/7
Let u(i) be the second derivative of -i**8/8400 - i**7/2100 + i**5/300 + i**4/120 - 3*i**3 - 5*i + 1. Let a(g) be the second derivative of u(g). Solve a(r) = 0.
-1, 1
Let r(s) be the third derivative of 1/20*s**5 + 0*s - 18*s**2 + 0 + 1/4*s**4 + 1/2*s**3. Factor r(a).
3*(a + 1)**2
Let h(l) = -l**2 - 1. Let c(i) = -21 + 10 + 24*i + 9 - 43. Let q(y) = c(y) + 3*h(y). Determine n so that q(n) = 0.
4
Suppose -115*l = -113*l - 20. Suppose -2*n + 10 = 2*s, s + 2*n - 13 = -3*n. Factor l*h + 4*h**2 - 10*h + 4*h**s.
4*h**2*(h + 1)
Suppose -3*c + 13 - 1 = 0. Let h(s) = s**3 - 2*s + 6. Let r be h(2). Factor 9*k**5 + c*k**3 - r*k**5 + 8*k**4 + 5*k**5.
4*k**3*(k + 1)**2
Let q = 0 + 12. Let p be q*((-3)/(-2) - 1). Let 12*r**2 - p*r**3 - 4*r**2 - 24*r**4 - 2*r**5 + 34*r**4 - 10*r**3 = 0. Calculate r.
0, 1, 2
Let i be 5 + 0 + -6 + 3. Let f(x) be the first derivative of 149*x**i - 2 - 3*x**3 + 2*x**3 - 12*x - 155*x**2. Suppose f(u) = 0. Calculate u.
-2
Let z(k) be the first derivative of -3/7*k**2 - 1/21*k**3 + 32 - 8/7*k. Factor z(n).
-(n + 2)*(n + 4)/7
Let z = -92 - 0. Let j be (-1)/(4/z) - -1. Determine h, given that 3*h**4 - 36*h - 6*h**2 + 15*h**3 + 0*h**2 - 6*h**3 - j = 0.
-2, -1, 2
Let x(l) be the first derivative of l**7/560 - l**6/120 - 3*l**5/80 + 3*l**3 + 18. Let p(g) be the third derivative of x(g). Find j such that p(j) = 0.
-1, 0, 3
Let s(k) be the first derivative of 5*k**3/3 - 44*k**2 - 36*k + 48. Factor s(j).
(j - 18)*(5*j + 2)
Let r(x) be the first derivative of -8*x + 15 + 2*x**2 - 1/6*x**3. Suppose r(g) = 0. What is g?
4
Let w(l) be the third derivative of l**5/240 - 3*l**4/32 + 7*l**3/12 - 40*l**2 + 1. Let w(q) = 0. Calculate q.
2, 7
Factor -2/5*i**2 + 44/15 - 62/15*i.
-2*(i + 11)*(3*i - 2)/15
Let v(g) be the second derivative of 1/6*g**4 + 0 + 36*g**2 + 4*g**3 - 14*g. Solve v(t) = 0.
-6
Let v(g) be the first derivative of -g**4/10 + 4*g**3/3 + 23*g**2/5 + 24*g/5 - 41. Factor v(j).
-2*(j - 12)*(j + 1)**2/5
Let q(w) be the second derivative of -5*w**8/336 - w**7/21 + w**5/6 + 5*w**4/24 + 7*w**2 - 15*w. Let p(v) be the first derivative of q(v). Factor p(r).
-5*r*(r - 1)*(r + 1)**3
Let w = 14061/140 + -702/7. Let f(i) be the first derivative of -1/5*i**3 - 1 - w*i**4 + 3/5*i + 3/10*i**2. Factor f(s).
-3*(s - 1)*(s + 1)**2/5
Let d(s) = -2*s**3 + 403*s**2 - 27754*s + 628864. Let y(t) = 3*t**3 - 604*t**2 + 41632*t - 943296. Let g(i) = -8*d(i) - 5*y(i). Find q such that g(q) = 0.
68
Let y(s) = -s**2 - 2*s + 3. Let p be (0/4 - 0)*3/6. Let w be y(p). Factor -3/5 - 3*x + 27/5*x**w - 9/5*x**2.
3*(x - 1)*(3*x + 1)**2/5
Let a(v) be the first derivative of 19/4*v**4 - 3 - 6*v**2 - 8*v - 3*v**5 + 10*v**3. What is x in a(x) = 0?
-1, -2/5, 2/3, 2
Let u(d) = d**2 + 12*d + 9. Suppose 0 = -10*a + 13*a. Let v(n) = 9 + n**2 + 10*n + 3*n + a*n. Let p(l) = 7*u(l) - 6*v(l). Factor p(q).
(q + 3)**2
Factor 1/3*a**5 - a**3 - 1/3*a**2 + 0 + 2/3*a + 1/3*a**4.
a*(a - 1)**2*(a + 1)*(a + 2)/3
Let t(r) be the second derivative of -r**7/294 - r**6/105 + 11*r**5/140 + r**4/7 - 6*r**3/7 - 2*r + 69. Find i, given that t(i) = 0.
-3, 0, 2
Let u be 2 + 45/(-6)*124/527. Determine r, given that -6/17*r**3 - 2/17*r**4 - u*r + 10/17*r**2 + 0 + 2/17*r**5 = 0.
-2, 0, 1
Let z(c) be the first derivative of c**4/8 - 69*c**3 + 14283*c**2 - 1314036*c - 209. Factor z(p).
(p - 138)**3/2
Let w(c) = -8*c**4 + 12*c**3 + 10*c**2 - 48*c + 30. Let o(f) = 10*f**4 - 12*f**3 - 11*f**2 + 48*f - 29. Let h(p) = -2*o(p) - 3*w(p). Factor h(y).
4*(y - 2)**2*(y - 1)*(y + 2)
Find y such that 1/5*y**2 + 123/5*y + 122/5 = 0.
-122, -1
Let a be ((-6)/(-9))/(2/20*5). Let d(m) be the first derivative of 1/2*m**4 + 2/5*m**5 - 1/2*m**2 - 4 - a*m**3 + 2*m - 1/6*m**6. Factor d(z).
-(z - 2)*(z - 1)**2*(z + 1)**2
Solve 74*j**2 + 70*j**2 - 18*j**3 - 236*j**2 - 2*j**5 + 20*j + 3*j**4 + 11*j**4 + 78*j**2 = 0 for j.
-1, 0, 1, 2, 5
Suppose -5*s - 33 = 3*t, 2*t + 5*s + 65 = 7*t. Factor -4/3*m**2 + 4/9*m + 4/9*m**t - 4/9*m**3 + 8/9.
4*(m - 2)*(m - 1)*(m + 1)**2/9
Let m = -104 + 112. Suppose 0 = m*q - 4*q. Let -2/7*u**3 + q + 2/7*u + 0*u**2 = 0. What is u?
-1, 0, 1
Suppose 1974 - 9072 = 13*s. Let g be 27/(-42)*s/(-36)*-1. Suppose -g*i**2 - i + 35/4*i**4 + i**3 + 1 = 0. What is i?
-1, -2/5, 2/7, 1
Factor 21*l**3 + 6*l**4 - 118 + 2*l**5 - 28*l**2 + 112 - 22*l - 4*l**4 - 33*l**3.
2*(l - 3)*(l + 1)**4
Let a(q) = -7*q**2 - 6*q - 6. Let d(x) = x**3 - 19*x**2 + 6. Let y be d(19). Let j(n) = n**2 + n + 1. Let s(r) = y*j(r) + a(r). Suppose s(g) = 0. Calculate g.
0
Let w = 225/8 + -611/24. Factor 2/3*f**3 - w*f**2 + 0 + 8/3*f.
2*f*(f - 2)**2/3
Determine f so that 18*f**3 - 6*f**3 + 4*f**4 + 48*f - 3*f**2 - 10*f**2 - 11*f**2 - 40*f**2 = 0.
-6, 0, 1, 2
Let p be (1 + 26)*(-1)/(-3). Suppose -p + 9 = -5*i. Find u, given that -40/9*u**2 + i - 50/9*u**3 - 8/9*u = 0.
-2/5, 0
Let p = -15 - -17. Solve 4*y + p*y**2 - 4*y + y**2 = 0 for y.
0
Let d be (4 - 154/28) + 2. Let d - 7/2*f**2 + f + 2*f**3 = 0. What is f?
-1/4, 1
Let l(w) be the first derivative of -2*w**5/5 + w**4/2 + 4*w**3/3 - 368. Factor l(b).
-2*b**2*(b - 2)*(b + 1)
Let c = 148 + -148. Let t(n) be the second derivative of -6*n - 1/12*n**3 - 1/24*n**4 + c + 1/2*n**2. Find v, given that t(v) = 0.
-2, 1
Let q(h) be the third derivative of 11/12*h**4 + 0*h + 2/3*h**3 + 1/21*h**7 + 17/60*h**6 + 7/10*h**5 + 0 + 11*h**2. Determine v so that q(v) = 0.
-1, -2/5
Suppose 44/3*o**4 - 12*o**3 + 8*o - 76/3*o**2 + 32/3 + 4*o**5 = 0. Calculate o.
-4, -1, -2/3, 1
Let r(k) be the third derivative of -k**8/2352 - 37*k**7/1470 + 11*k**6/120 - 13*k**5/140 + 177*k**2. Suppose r(y) = 0. Calculate y.
-39, 0, 1
Let z(o) be the first derivative of -o**4/4 + 2*o**3 - 5*o**2/2 - 161. Solve z(p) = 0.
0, 1, 5
Suppose 6 = -3*n - 9, 4*u = n + 37. Suppose -o + u = 3*o. Factor -2/5*f**4 + 2/5*f + 0 - 2/5*f**3 + 2/5*f**o.
-2*f*(f - 1)*(f + 1)**2/5
Factor -7/6*d + 1/6*d**2 + 5/3.
(d - 5)*(d - 2)/6
Let l = -456 + 1370/3. Let y(n) be the first derivative of 6 + 4/3*n**3 + 4/3*n**4 + 2/5*n**5 + 0*n**2 - l*n. Factor y(o).
2*(o + 1