*y - 2)/5
Let t be (-98)/(-10) - 1/(-5). Suppose 2*o = h - 12 + 2, 4*h + t = -2*o. Find u, given that 0 + h*u**2 + 1/3*u - 1/3*u**3 = 0.
-1, 0, 1
Let b be ((-24)/(-9) - 3)*(-6 + 0). Let y(s) be the first derivative of 2/3*s - 3/2*s**b - 3 + 7/9*s**3. Suppose y(u) = 0. What is u?
2/7, 1
Let t = 682 - 680. Determine q so that -6/5*q**3 + 0*q**t - 3/5*q**4 + 3/5 + 6/5*q = 0.
-1, 1
Let p(k) = 2*k - 2. Let f be p(2). Suppose 0 = s - f*s + 4. Factor 1 + 2*o**4 + 3 + 2 - 4 - s*o**2.
2*(o - 1)**2*(o + 1)**2
Let l(m) be the first derivative of m**6/60 - m**5/15 + m**4/12 + m**2/2 - 2. Let z(o) be the second derivative of l(o). Suppose z(j) = 0. What is j?
0, 1
Determine u, given that u**2 - 7*u**2 + 4*u**2 = 0.
0
Let v(w) be the first derivative of -w**4/12 - w**3/6 + w**2 - w - 1. Let o(g) be the first derivative of v(g). Solve o(n) = 0.
-2, 1
Let u(k) be the second derivative of -7*k**4/3 + 6*k**3 - 4*k**2 + 25*k. Let u(f) = 0. What is f?
2/7, 1
Let c(y) = -2*y + 10. Let o be (-8)/10 + 48/10. Let q be c(o). Let -2/9*n**3 + 2/3*n**q - 2/3*n + 2/9 = 0. What is n?
1
Suppose 3*h - j - j = -6, -4*h - 5*j - 8 = 0. Let s be (2/42)/(h/(-12)). Find r, given that 0*r**2 + 6/7*r - 4/7 - s*r**3 = 0.
-2, 1
Let s(b) be the first derivative of -b**4/20 - 3*b**3 - 135*b**2/2 - 675*b + 18. Factor s(p).
-(p + 15)**3/5
Let p(a) be the second derivative of a**6/10 + 3*a**5/10 + a**4/4 + 4*a. Factor p(g).
3*g**2*(g + 1)**2
Let f(v) = -v**3 - 3*v**2 - 9*v - 24. Let n be f(-3). Factor 4/3*o - 2/3*o**2 - 4/3*o**n + 0 + 2/3*o**4.
2*o*(o - 2)*(o - 1)*(o + 1)/3
Let n = -8 + 13. Let j(o) = -29*o**4 - o**3 + 19*o**2 + o - 5. Let s(i) = 15*i**4 - 9*i**2 + 3. Let h(v) = n*s(v) + 3*j(v). Determine a, given that h(a) = 0.
-1, -1/4, 0, 1
Factor 8*v - 5 - 17*v + 3*v**3 - 2*v**3 - 3*v**2.
(v - 5)*(v + 1)**2
Let a be (4*(0 + -1))/(-1). Suppose 4*s - 4*d - a = 2*s, -d = 0. Factor -4*k**2 + 3*k + 3*k**2 - 5*k + 2*k**s.
k*(k - 2)
Let d(r) = 35*r**2 + 565*r - 575. Let u(h) = 3*h**2 + 47*h - 48. Let b(w) = -2*d(w) + 25*u(w). Factor b(s).
5*(s - 1)*(s + 10)
Let y(w) = -5*w**4 - 12*w**3 + 9*w**2 + 16*w. Let d(z) = 8*z - z**4 - 2*z**3 - 3*z - z + 2*z**2 - z**3. Let m(c) = 9*d(c) - 2*y(c). Factor m(k).
k*(k - 2)**2*(k + 1)
Let t(h) be the second derivative of -h**8/168 + h**7/105 + h**6/60 - h**5/30 - h**2/2 + 2*h. Let y(g) be the first derivative of t(g). Factor y(a).
-2*a**2*(a - 1)**2*(a + 1)
Let l(d) be the second derivative of 2*d**6/15 - 2*d**5/5 + d**4/3 - 9*d. Determine x, given that l(x) = 0.
0, 1
Factor 5*t**4 - t - 12*t**2 + 11*t**2 - 23*t**3 + 26*t**2 - 6.
(t - 3)*(t - 1)**2*(5*t + 2)
Let z be -3*((-8)/6)/(-2). Let x be (-1)/(11/z + 2). Factor -2/7*c**3 + 0*c + 2/7*c**2 + 0 - 2/7*c**4 + x*c**5.
2*c**2*(c - 1)**2*(c + 1)/7
Let w(l) = 15*l**3 - 14*l**2 - 23*l + 14. Let f(v) = 3*v**2 - 1 - 5*v**3 + 6*v + 2*v**2 - 4 + 2*v. Let m(c) = 8*f(c) + 3*w(c). Factor m(b).
(b - 1)*(b + 1)*(5*b - 2)
Let m(n) be the third derivative of -n**5/20 - n**4/4 - 2*n**2. Determine i, given that m(i) = 0.
-2, 0
Let g(x) be the second derivative of -x**6/135 - x**5/30 - x**4/27 + 37*x. What is i in g(i) = 0?
-2, -1, 0
Let f(b) = b**3 - b**2 + b + 18. Let o be f(0). Factor -6*y**2 - o*y**2 - 11*y**3 - 14 + 12 - 15*y.
-(y + 1)**2*(11*y + 2)
Suppose l + 12 = 3*x, -4*x + 7*x - 12 = -l. Solve l*y**2 + 0 + 0*y - 3/5*y**3 = 0 for y.
0
Let o be 7 - 9/(-189)*-141. What is x in o*x**4 - 2/7*x + 4/7 + 2/7*x**3 - 6/7*x**2 = 0?
-2, -1, 1
Determine f, given that 3*f**2 - 6*f**2 - 3*f + 1 - 5 + 4*f**2 = 0.
-1, 4
Let j(k) be the second derivative of 7*k**5/16 - 95*k**4/48 + 5*k**3/3 + 5*k**2/2 - 5*k. Let j(g) = 0. What is g?
-2/7, 1, 2
Let o(a) be the first derivative of -a**3/12 + a**2/4 - 12. Suppose o(q) = 0. Calculate q.
0, 2
Let -57/2*g**2 + 0 - 6*g - 21/4*g**4 - 111/4*g**3 = 0. Calculate g.
-4, -1, -2/7, 0
Let a(t) be the third derivative of t**6/80 + 11*t**5/60 - 17*t**4/48 - 2*t**3/3 + 22*t**2. Factor a(k).
(k - 1)*(k + 8)*(3*k + 1)/2
Factor -2*d**2 + 0 + 2/5*d**4 + 2/5*d**3 + 6/5*d.
2*d*(d - 1)**2*(d + 3)/5
Let q(l) be the second derivative of 0*l**5 + 2*l - 1/45*l**6 + 0*l**4 + 0*l**2 + 0 + 0*l**3. Let q(a) = 0. Calculate a.
0
Suppose -5*s = 15, 3*k + s = -s - 3. Let b = 2 + k. Determine o, given that o + 11*o + 18*o**b - 10*o**4 + 4*o - 56*o**2 + 26*o**3 = 0.
0, 2/5, 2
Let y(f) be the second derivative of 1/20*f**5 + 7*f - 1/60*f**6 + 1/4*f**2 + 0 - 1/6*f**3 + 0*f**4. Factor y(p).
-(p - 1)**3*(p + 1)/2
Let n(m) be the first derivative of -7/18*m**4 + 8/15*m**5 + 2/9*m**2 - 1 + 0*m - 14/27*m**3. Suppose n(q) = 0. Calculate q.
-2/3, 0, 1/4, 1
Let l(p) = 4*p**2 + 2*p + 1. Let t(c) = c - 2*c**2 + 3*c + 2 + 9*c**2. Let s(q) = 10*l(q) - 6*t(q). What is h in s(h) = 0?
-1
Let s(k) be the second derivative of -4*k - 1/4*k**4 - 3*k**3 + 0 - 27/2*k**2. Determine t, given that s(t) = 0.
-3
Factor 7*i**2 + i**3 - 2*i**2 + 8 + 12*i + i**2.
(i + 2)**3
Let j(l) be the second derivative of -l**6/120 + l**5/16 - l**4/12 - 21*l. Suppose j(w) = 0. Calculate w.
0, 1, 4
Let d(y) be the first derivative of 1/10*y**5 + 0*y**2 - 5 + 0*y**3 + 0*y + 1/16*y**4. Factor d(x).
x**3*(2*x + 1)/4
Suppose -4*r + 9*r - 15 = 0. Factor 2*f**2 + 0*f**3 - 3*f**3 + 4*f**r - 3*f**3.
-2*f**2*(f - 1)
Let q = -23 - -27. Let f(y) be the first derivative of -15/2*y**q + 5*y**5 - 1 + 0*y - 4/5*y**2 + 4*y**3. Solve f(s) = 0 for s.
0, 2/5
Factor 9*m**2 - 4*m**3 - 9*m**2 + 5*m**4 - 2 + 4*m - 3*m**4.
2*(m - 1)**3*(m + 1)
Suppose -510*h**3 + h**2 + 23*h**2 - 35*h + 8*h + 513*h**3 = 0. Calculate h.
-9, 0, 1
Let u = 13921/48 - 290. Let j(v) be the third derivative of -v**2 + u*v**4 + 0*v**3 - 1/240*v**6 + 0 + 1/120*v**5 + 0*v - 1/420*v**7. Find o such that j(o) = 0.
-1, 0, 1
Let d = -41 + 1231/30. Let n(s) be the third derivative of d*s**5 + 1/12*s**4 + 0 + 2*s**2 - 1/105*s**7 - 1/60*s**6 + 0*s**3 + 0*s. Factor n(i).
-2*i*(i - 1)*(i + 1)**2
Let p(q) = -3*q + 2. Let k(s) = -7*s + 3. Let g(j) = 4*k(j) - 9*p(j). Let y be g(-8). Find l, given that -2/7 - 4/7*l - 2/7*l**y = 0.
-1
Suppose m - 2 = 4*c, 6 = -m - 4*c - 0. Let z be m - (-19)/3 - 4. Factor z*r**2 - 2/3*r + 1/3.
(r - 1)**2/3
Let u = -51 - -120. Let b be -4 - (-4)/(60/u). Determine h, given that -2/5 + b*h + h**2 = 0.
-1, 2/5
Let i(v) = 5*v + 32. Let z be i(-6). Determine c, given that -3/5*c**3 + 9/5*c + 6/5 + 0*c**z = 0.
-1, 2
Let p(t) be the first derivative of 2/15*t**3 - 4/5*t + 1/5*t**2 + 5. Factor p(i).
2*(i - 1)*(i + 2)/5
Let w(t) = t**2 - 4*t - 1. Let v be 3/(-12) - (-9)/4. Let a(g) = 4*g**2 - 13*g - 3. Let p(j) = v*a(j) - 7*w(j). Determine c, given that p(c) = 0.
-1
Let h(t) = -7*t**3 + 13*t**2 + 7*t. Let u(x) = 3*x**3 - 6*x**2 - 3*x. Let v(w) = -6*h(w) - 13*u(w). Factor v(p).
3*p*(p - 1)*(p + 1)
Let j be (-39)/((0 + 3)/(-3)). Let c**2 + j*c - 2*c**3 - 39*c + c**3 = 0. Calculate c.
0, 1
Let w(n) = -n + 8. Let f be (-3)/(-6)*0 - -6. Let u be w(f). Factor 0 + 0 - 2*j**u.
-2*j**2
Let m = 50 + -50. What is f in -2/9*f + 0 + 2/9*f**3 + m*f**2 = 0?
-1, 0, 1
Factor 32/3*l - 14/3*l**3 - 10/3*l**2 - 8/3.
-2*(l - 1)*(l + 2)*(7*l - 2)/3
Let h = 68 + -46. Factor -18*g**4 + 11*g - 6 - 38*g - 48*g**2 - 3*g**5 - h*g**3 - 20*g**3.
-3*(g + 1)**4*(g + 2)
Factor -4*m**3 - 3*m**3 - 28*m**4 - m**3 + 8*m + 28*m**2.
-4*m*(m - 1)*(m + 1)*(7*m + 2)
Let k be ((-4)/10)/(3/(-15)). Factor 3*r**3 + 0*r**2 + 11*r - 2*r - 3 + 0*r**2 - 9*r**k.
3*(r - 1)**3
Let y(r) = 3*r**2 - 5*r - 3. Let f(p) = 3*p**2 - 4*p - 3. Suppose -m + 11 = 2*g, 3*m - 6*m = -4*g + 7. Let o(b) = g*y(b) - 5*f(b). Factor o(z).
-3*(z - 1)*(z + 1)
Let c = 60 - 55. Let q(r) be the second derivative of -2*r + 0*r**3 + 0*r**2 + 1/18*r**4 + 1/10*r**c + 0. Suppose q(k) = 0. Calculate k.
-1/3, 0
Let g(t) be the second derivative of t**5/12 + 5*t**4/18 - 5*t**3/6 + 7*t. Factor g(a).
5*a*(a - 1)*(a + 3)/3
Suppose 0 = -3*l - l - 20. Let x = l - -7. Determine h, given that -h**5 + 0*h**x + 2 + 2*h**3 - h + 2*h**2 - 3 - h**4 = 0.
-1, 1
Let w(u) be the first derivative of 2*u**2 - 2*u**3 - 5 + 6*u**3 - 12*u - u**4 + 2*u**4 - 2*u**4. Solve w(t) = 0 for t.
-1, 1, 3
Let r(s) be the first derivative of s**6/18 - s**5/10 - s**4/6 + s**3/6 + s**2/6 + 20. Solve r(i) = 0 for i.
-1, -1/2, 0, 1, 2
Suppose -2*j + 5*j = 3*n - 12, 5*n = -15. Let o = -4 - j. Factor 3*x**4 + 6*x**o + 6*x**