25
Let i be 74/4 + (5 - 27/6). Let x be -44 - -42 - i/(-8). Factor x*t**2 + 9/8*t - 3/2.
3*(t - 1)*(t + 4)/8
Suppose -11 = -3*p - m, 5*p + 5*m = 6*m + 5. Let j(y) = -y**3 + 2*y**2 + 3*y - 3. Let o be j(2). Factor 7 - 17 + 6*n**3 + p*n**3 - 3*n**o - 20*n**2 + 25*n.
5*(n - 2)*(n - 1)**2
Factor 3/8*r**4 - 729/2*r + 2187/8 + 405/4*r**2 - 21/2*r**3.
3*(r - 9)**3*(r - 1)/8
Determine c, given that -10/13*c**2 + 2*c - 2/13*c**3 - 14/13 = 0.
-7, 1
Let h(n) be the second derivative of -n**7/42 + n**6/6 - n**5/10 - 7*n**4/6 + n**3/2 + 9*n**2/2 + 2*n + 62. Solve h(k) = 0.
-1, 1, 3
Factor 4*v**2 + 3*v**3 + 2*v**4 - 6*v**4 - 719*v**5 + v**3 + 715*v**5.
-4*v**2*(v - 1)*(v + 1)**2
Let u = 8 + -12. Let w be 4 + 2 + u + 1. Find z such that 3 + z**2 + z**2 + w + 6*z - 2 = 0.
-2, -1
Suppose 0 = 3*b - b + 12. Let w be b*(8/(-12))/1. Factor q**4 + q**5 + 3*q**5 - 3*q**5 + 0*q**w.
q**4*(q + 1)
Determine d, given that -19/4*d**2 - 21/4*d**3 + 0 - 9/4*d**4 - 1/4*d**5 - 3/2*d = 0.
-6, -1, 0
Let 5*b**2 - 14*b - 96 + 6 - b = 0. Calculate b.
-3, 6
Let y = -2485 - -2485. Let q(k) be the second derivative of 0*k**2 + y*k**4 + 0*k**3 + 0 + 0*k**6 + 0*k**5 + 1/189*k**7 + 12*k. Factor q(z).
2*z**5/9
Let q(c) be the third derivative of c**7/10080 - c**6/2880 - c**5/80 - 13*c**4/24 + 5*c**2. Let x(j) be the second derivative of q(j). Solve x(a) = 0 for a.
-2, 3
Let x(a) = -a**2 + 8*a + 2. Let b be x(7). Suppose 12*z = b*z + 12. Solve q**3 + 6*q**2 - 4*q**3 - z*q**3 + 4*q**3 = 0.
0, 2
Determine x, given that 2/3*x**4 + 4 + 14/3*x**3 + 34/3*x**2 + 34/3*x = 0.
-3, -2, -1
Let t be (-6)/(-18) + (-2)/18. Factor t*q**2 + 4/9 + 2/3*q.
2*(q + 1)*(q + 2)/9
Find x, given that -29*x**4 - 16*x**4 - 51*x**3 - 519*x - 6 + 546*x + 27*x**2 = 0.
-1, 1/5, 2/3
Let z be -3 + (-1992)/40 - (0 + 1). Let i = z + 809/15. Factor 0*x + 0*x**3 + 0*x**2 + 0 - i*x**4 - 2/15*x**5.
-2*x**4*(x + 1)/15
Let u(c) be the first derivative of 2*c**5/25 - 7*c**4/20 + 4*c**3/15 + 2*c**2/5 - 36. Suppose u(g) = 0. What is g?
-1/2, 0, 2
Let b = 118 + -115. Suppose -b*k = 4*k - 5*k. Factor k - 1/8*i**5 - 1/8*i - 3/4*i**3 - 1/2*i**2 - 1/2*i**4.
-i*(i + 1)**4/8
Let s = 26 + 0. Factor 14*r - 5*r**2 + 4*r**2 - s*r + 18*r - 5.
-(r - 5)*(r - 1)
Factor -5*r**3 - r**4 - 3*r**2 - 14*r**2 - 16*r - 3*r**3 + 6*r.
-r*(r + 1)*(r + 2)*(r + 5)
Let z = 448 - 444. Let q(c) be the second derivative of 0 - 4*c + 1/3*c**z - 16/3*c**3 + 32*c**2. Factor q(l).
4*(l - 4)**2
Suppose 0*z**2 + 1/3*z**5 + 0*z + 0 + 20/3*z**4 + 17*z**3 = 0. What is z?
-17, -3, 0
Let 0*j + 32/7*j**2 - 2/7*j**4 + 0 - 12/7*j**3 = 0. What is j?
-8, 0, 2
Determine k so that -5/3*k**4 - 135 + 38*k**3 + 261*k - 162*k**2 - 1/3*k**5 = 0.
-15, 1, 3
Suppose 6*r + 2*r = -10*r. Suppose 0 = 2*z - 0*z - 8. Factor r*f + 0 - 5/2*f**z - 5*f**2 + 15/2*f**3.
-5*f**2*(f - 2)*(f - 1)/2
Let p(a) be the first derivative of -a**5 - 25*a**4 - 210*a**3 - 490*a**2 + 1715*a - 479. Solve p(z) = 0.
-7, 1
Let b(k) be the second derivative of -1/2*k**2 + 0 - 1/48*k**4 - 12*k + 1/6*k**3. Suppose b(r) = 0. Calculate r.
2
Let k(a) be the third derivative of 7*a**6/780 + 23*a**5/390 + a**4/26 - 39*a**2 + 1. Factor k(d).
2*d*(d + 3)*(7*d + 2)/13
Let b(j) be the first derivative of j**4 - 6*j**2 - 8*j - 673. Factor b(x).
4*(x - 2)*(x + 1)**2
Let n = 719 - 713. Let s(y) be the first derivative of n + 3*y**4 - 6*y**2 + 8*y - 4/5*y**5 - 4/3*y**3. Factor s(k).
-4*(k - 2)*(k - 1)**2*(k + 1)
Let i(j) be the third derivative of -j**5/360 - 31*j**4/24 - 961*j**3/4 + 224*j**2 - j. Factor i(o).
-(o + 93)**2/6
Let j(h) be the second derivative of h**6/3 - 11*h**5/4 + 15*h**4/2 - 15*h**3/2 - 157*h. Solve j(s) = 0.
0, 1, 3/2, 3
Let u(k) be the second derivative of k**7/336 - 13*k**5/160 - k**4/8 - 102*k. Factor u(x).
x**2*(x - 4)*(x + 1)*(x + 3)/8
Let a(v) = 7*v + 59. Let s be a(-7). Let q be ((-12)/(-15))/(2/5). Solve -3*g**5 - g**2 - 2*g**5 - 5*g + g**q + s*g**3 = 0 for g.
-1, 0, 1
Suppose j - 5*j + 24 = 0. Let h(o) = o**2 - 5*o - 2. Let f be h(j). Let 36/7*n**3 + 0 + 6/7*n - 27/7*n**2 - 15/7*n**f = 0. What is n?
0, 2/5, 1
Let m(c) = -c**2 - 10*c + 21. Let p be m(6). Let j be (-2)/6 - 55/p. Factor 0 - j*b**2 + 4/5*b.
-2*b*(b - 2)/5
Let k be (282/2820)/(1/20). Find v, given that -1/2*v**3 - 5/2*v + 0 + 3*v**k = 0.
0, 1, 5
Let h = 344583/476515 + -2/36655. Let p = 12/13 - h. Factor 1/5*m**3 - p*m + 0 + 0*m**2.
m*(m - 1)*(m + 1)/5
Let l = 20 + -13. Let n(v) = -9*v**3 - 8*v**2 - 3*v + 3. Let w(u) = 4*u**3 + 4*u**2 + 2*u - 1. Let z(g) = l*w(g) + 3*n(g). Factor z(o).
(o + 1)**2*(o + 2)
Suppose -194*r = -199*r + 10. Let x(a) be the first derivative of 0*a**2 + r*a - 2/3*a**3 + 1. Factor x(k).
-2*(k - 1)*(k + 1)
Suppose z = r, -3*z - 13 = 2*r + 7. Let q be ((-3)/(-6))/((-1)/r). Determine f so that -3*f**2 + 2 - 3*f**2 + 4*f**2 - q*f + 2*f**3 = 0.
-1, 1
Suppose 0 = 8*t - 12*t + 296. What is n in -2*n - t*n**3 + 90*n**3 - 10*n - 4 = 0?
-1/2, 1
Let g(b) be the first derivative of -1/18*b**3 + 5 - 1/3*b**2 + 5/6*b. Suppose g(j) = 0. Calculate j.
-5, 1
Let f(c) = -c**2 - 10*c + 26. Let j be f(-12). Suppose 3*a - 8 = 4. Let -6*d**j - a*d + 5*d**3 + d - 2*d**3 + 6 = 0. Calculate d.
-1, 1, 2
Let y(j) be the third derivative of 5*j**8/168 + 5*j**7/14 + 3*j**6/2 + 13*j**5/6 - 5*j**4/4 - 15*j**3/2 + 35*j**2 - 1. Find z such that y(z) = 0.
-3, -1, 1/2
Let o(r) = 7*r**4 - 7*r**3 - 47*r**2 + 67*r + 112. Let j(u) = -8*u**4 + 8*u**3 + 46*u**2 - 68*u - 113. Let a(p) = 4*j(p) + 5*o(p). Find q such that a(q) = 0.
-4, -1, 3
Let -15/2*n + 3/2*n**4 - 9/2*n**2 + 3/2*n**3 - 3 = 0. What is n?
-1, 2
Let y(v) be the third derivative of -v**8/14400 - v**7/2800 - v**6/1800 + v**5/20 + 2*v**2. Let h(j) be the third derivative of y(j). Factor h(s).
-(s + 1)*(7*s + 2)/5
Let i(j) be the first derivative of 32*j**3/39 + 40*j**2/13 + 50*j/13 - 43. Factor i(a).
2*(4*a + 5)**2/13
Suppose 3*r + 9 = 3*q, -12 = -5*q + 10*r - 6*r. Factor 0 - f**5 - 40/3*f**3 + 23/3*f**4 + q*f - 16/3*f**2.
-f**2*(f - 4)**2*(3*f + 1)/3
Let v(b) be the second derivative of b**6/135 + b**5/18 + 7*b**4/54 + b**3/9 - 106*b. Factor v(c).
2*c*(c + 1)**2*(c + 3)/9
Let q be ((-58)/12 + 0)/((-15)/45). Let s = 15 - q. What is x in s*x + x**2 + 1/2*x**3 + 0 = 0?
-1, 0
Let x(r) = r**4 + r**3 + r - 1. Let h(y) = -y**5 - 2*y**4 - 32*y**3 + 19*y**2 - 17*y + 11. Let p(w) = 2*h(w) + 22*x(w). Factor p(j).
-2*j*(j - 6)*(j - 1)**3
Suppose 7 + 18 = 5*p. Suppose -2 + 17 = p*n. Let -r**2 + 5*r**2 + 1 - 2*r**2 - n = 0. What is r?
-1, 1
Find n such that 2*n**2 + 9*n**5 - 9*n**4 - 9 - 14*n**2 + 30*n**3 + 33*n - 8*n**5 - 34*n**2 = 0.
1, 3
Let y(t) be the first derivative of -2 + 0*t - 1/4*t**2 + 1/3*t**3. Let y(z) = 0. What is z?
0, 1/2
Suppose -5*m + 156 = -3*m - b, 0 = b - 2. Let v = m + -236/3. What is h in 16/3*h - 25/3*h**2 - 7/3*h**4 + v*h**5 - 4/3 + 19/3*h**3 = 0?
1, 2
Suppose -15*z + 11*z = -2*z. Factor -2/7*f**2 + z - 2/7*f.
-2*f*(f + 1)/7
Let a(u) = -6*u**3 - u**2 + 2*u + 2. Let m be a(-1). Determine x, given that 4*x**2 + x**3 - 10*x - 3*x**5 + 12*x + x**2 - m*x**4 = 0.
-1, -2/3, 0, 1
Let o(l) be the third derivative of -11/150*l**5 + 0*l**3 - 1/75*l**7 - 4/75*l**6 + 0 - 14*l**2 + 0*l - 1/30*l**4. Factor o(v).
-2*v*(v + 1)**2*(7*v + 2)/5
Let h(d) = -2*d**3 - 2*d**2 - 72*d + 70. Let z(n) = -2*n**3 - 1. Let p(f) = -h(f) + 2*z(f). Let p(k) = 0. Calculate k.
-6, 1, 6
Let a(r) be the first derivative of r**6/6 - r**5/4 - 5*r**4/12 + 5*r**3/6 - 6*r + 30. Let z(t) be the first derivative of a(t). Factor z(b).
5*b*(b - 1)**2*(b + 1)
Suppose -4 = -z - 0. Suppose 3*h + z = 5*h. Factor y**2 + 2*y - 2*y**h - 2*y**3 + 0*y**2 + 0 + 1.
-(y - 1)*(y + 1)*(2*y + 1)
Let c = -114 - -573/5. Solve -2/5*h + 3/5*h**2 + 1/5*h**5 + 1/5*h**3 - c*h**4 + 0 = 0.
-1, 0, 1, 2
Let n(b) be the second derivative of b**5/70 + b**4/14 - 4*b**3/21 + 3*b - 1. Find r such that n(r) = 0.
-4, 0, 1
Let u(v) be the third derivative of -1/210*v**5 + 0*v + 1/840*v**6 + 3*v**2 + 0*v**3 + 0 - 1/56*v**4. Factor u(n).
n*(n - 3)*(n + 1)/7
Let v(c) be the first derivative of c**5/100 - c**4/20 + c**3/15 + 5*c - 3. Let t(j) be the first derivative of v(j). Let t(d) = 0. What is d?
0, 1, 2
Let b(c) = c**2 - c - 2. Let m be b(5). Suppose -4*t = 4*p + t - m, 5*t = p + 8. Factor -4*q**5 + 20*q + 19 - 13*q**3 - 27 - 3*q**3 - 8*q**p + 16*q**4.
-4*(q - 2)