*3/9 - 30*t**2 - 258. Factor i(q).
-2*q*(q - 45)*(q - 2)/3
Find t, given that -14*t + 7*t**3 - 6*t**2 - t**4 - 2*t**2 + 3*t + 15*t - 2*t**3 = 0.
0, 1, 2
Let f(k) be the first derivative of -23/16*k**4 - 13/8*k**2 + 7/20*k**5 - 11 + 9/4*k**3 + 1/2*k. Factor f(l).
(l - 1)**3*(7*l - 2)/4
Let a be ((-476)/833)/((-2)/4). Determine g, given that -2/7*g**2 - 8/7 - a*g = 0.
-2
Suppose 0*y + 3*y + 12 = 4*n, 5*y + 12 = 4*n. Determine l so that 5 - 3*l**2 + 1 + 3*l**n - 3 - 3*l = 0.
-1, 1
Let c(f) be the second derivative of -f**6/210 + f**5/140 + f**4/21 - 2*f**3/21 + 3*f - 22. Let c(a) = 0. Calculate a.
-2, 0, 1, 2
Solve 6/19*j - 2/19*j**3 - 4/19 + 0*j**2 = 0.
-2, 1
Let z be 8/30*(-66)/(-32). Let r = z - -1/5. Suppose r*v**2 + 1/2*v + 0 = 0. What is v?
-2/3, 0
Let g(z) be the first derivative of -z**6/18 + z**5/5 + z**4/12 - z**3/3 + 94. Suppose g(n) = 0. What is n?
-1, 0, 1, 3
Factor 1/5*x**2 - 8/5 + 2/5*x.
(x - 2)*(x + 4)/5
Solve 0 - 4/3*s**2 + 0*s**4 - 3*s**3 + 1/3*s**5 + 4*s = 0.
-2, 0, 1, 3
Let r(j) be the third derivative of 4/25*j**5 - 3/10*j**4 - 2/75*j**6 - 17*j + 0 + 0*j**3 + j**2. Factor r(a).
-4*a*(2*a - 3)**2/5
Factor 13*v - 2*v**4 - 30*v**2 - 22*v**2 + 16*v**3 - 26 + 6*v**2 + 2 + 43*v.
-2*(v - 3)*(v - 2)**2*(v - 1)
Let c(m) = 7*m**2 - 6*m. Let j(u) = -2*u - 13*u + 12*u**2 - 3*u + 7*u. Let h(a) = 5*c(a) - 3*j(a). What is n in h(n) = 0?
0, 3
Factor 3/2 - 9/4*r**2 - 3/4*r.
-3*(r + 1)*(3*r - 2)/4
Let c(w) be the third derivative of -w**6/300 - w**5/150 + 2*w**4/15 + 4*w**3/5 - 4*w**2 + 24*w. Factor c(n).
-2*(n - 3)*(n + 2)**2/5
Let f = 19/234 - 5/26. Let p = 16/9 + f. What is m in 4/3*m**3 + 0 - 1/3*m**4 + 2/3*m - p*m**2 = 0?
0, 1, 2
Let q = -46/15 - -22/5. Determine r so that -2/3*r**2 + 2 - q*r = 0.
-3, 1
Let u(d) = 2*d**4 - 11*d**3 - 14*d**2 + 5*d + 12. Let j(r) = 3*r**4 - 21*r**3 - 27*r**2 + 11*r + 24. Let c(p) = 3*j(p) - 5*u(p). Let c(q) = 0. Calculate q.
-6, -2, -1, 1
Suppose 0*o - 8 = 2*o. Let b(q) = 20*q**2 - 90*q + 225. Let z(h) = 7*h**2 - 30*h + 75. Let a(x) = o*b(x) + 11*z(x). Solve a(u) = 0.
5
Let h = -1396 + 1399. Find z, given that -3/2*z**2 + 3/2*z**4 - 3*z**3 + h*z + 0 = 0.
-1, 0, 1, 2
Determine s, given that 400 - 2/3*s**4 + 40/3*s - 76*s**2 - 14*s**3 = 0.
-10, -3, 2
Suppose -2*g - l + 1 = 0, -4*g = -9*g + l - 1. Let h = 33627/2 - 16809. Suppose -3*i**3 - 3/2*i**5 + h*i**4 + 0 + 0*i**2 + g*i = 0. Calculate i.
0, 1, 2
Let t be 24/99*(-8 - (-209)/22). Factor 2/11*g**2 + t*g - 16/11.
2*(g - 2)*(g + 4)/11
Let h(z) = -z**2 - 7*z. Let a(o) = -o. Let q = 16 - 10. Let d(n) = q*a(n) - h(n). Solve d(v) = 0.
-1, 0
Factor -10*l + 599 + 401*l**3 - 599 + 244*l**3 - 635*l**2.
5*l*(l - 1)*(129*l + 2)
Factor -4/7*i**3 + 80/7*i - 192/7 + 16/7*i**2.
-4*(i - 6)*(i - 2)*(i + 4)/7
Let s be (-419)/(-210) + -2 + (-32)/(-320). Find f, given that 0*f**2 - s*f**3 + 0*f - 2/21*f**4 + 0 = 0.
-1, 0
Let v be (-695)/(-6) - 36/108. Let j = 117 - v. Suppose -j*u + 3/2*u**4 + 0 + 9/2*u**2 - 9/2*u**3 = 0. Calculate u.
0, 1
Let t(u) = u**2 + u - 1. Let x be t(2). Find y such that -10*y**4 - 3*y**5 + 3*y**2 + 5*y**x + 7*y**2 + 3*y**5 - 5*y = 0.
-1, 0, 1
Factor -44/3 + 2/3*y - 2/3*y**3 + 44/3*y**2.
-2*(y - 22)*(y - 1)*(y + 1)/3
Let x = -78 - -6. Let b = x - -72. Determine g, given that 0*g**2 + b*g + 1/4*g**3 + 0 = 0.
0
Let a(r) be the third derivative of 7/270*r**5 + 1/189*r**7 + 0*r**3 + 0*r + 0 - 1/54*r**4 - 1/60*r**6 - 12*r**2 - 1/1512*r**8. Determine i so that a(i) = 0.
0, 1, 2
Suppose 2*p - 6 = 4*p. Let k(s) = s**3 + 4*s**2 + s - 4. Let x be k(p). Find w such that 6 + 11*w**5 + 57*w**2 + 25*w**5 + 3*w**3 - 69*w**4 - 39*w + 6*w**x = 0.
-1, 1/4, 2/3, 1
Let w(d) be the second derivative of 2*d**7/105 - 4*d**6/75 - 4*d**5/25 + 2*d**4/15 + 2*d**3/5 - 18*d - 3. Determine o, given that w(o) = 0.
-1, 0, 1, 3
Let b(j) = -j**3 + 1. Let q(k) = 9*k**5 - 2*k**4 - 66*k**3 + 68*k**2 - 12*k + 3. Let l(u) = 3*b(u) - q(u). Solve l(x) = 0 for x.
-3, 0, 2/9, 1, 2
Let w(x) be the third derivative of -1/8*x**4 + 0*x + 0 + 1/40*x**6 + 1/60*x**5 + 24*x**2 + 1/210*x**7 - 1/3*x**3. Suppose w(j) = 0. Calculate j.
-2, -1, 1
Let j(u) be the first derivative of u**4/4 - 10*u**3/3 + 9*u**2/2 + 3*u - 53. Let s be j(9). Let 0*p**s - 2/9*p**2 + 0 + 2/9*p**4 + 0*p = 0. What is p?
-1, 0, 1
Let i(q) = -11*q**4 - 109*q**3 - 151*q**2 - 80*q. Let v(c) = 3*c**4 + 27*c**3 + 38*c**2 + 20*c. Let t(o) = -2*i(o) - 9*v(o). Determine u so that t(u) = 0.
-2, -1, 0
Let v(f) be the first derivative of 2*f**3/27 - 50*f**2/9 - 34*f/3 - 275. Determine y so that v(y) = 0.
-1, 51
Let p(q) = 22*q**2 - 72*q + 52. Let j be 2/(-3)*(3 + 3). Let w(m) = m**3 + 44*m**2 - 145*m + 105. Let u(d) = j*w(d) + 10*p(d). Let u(v) = 0. Calculate v.
1, 5
Find r, given that -21*r - 16*r**3 + 17*r - 7*r**2 - 5*r**2 - 32 + 4*r**4 + 60*r + 0*r**2 = 0.
-2, 1, 4
Let y be 176/20 + 4/20. Factor 2*w**4 + 6*w**2 + y*w**3 + 6*w - 4*w - 3*w**3.
2*w*(w + 1)**3
Let n(f) = f**2 - 28*f - 245. Let o be n(35). Let p be 1/3 + (-15)/(-36). Factor o + p*m - 3/4*m**2.
-3*m*(m - 1)/4
Let k(s) be the second derivative of 2*s**6/15 - s**5/5 - 4*s**4 + s + 14. Find i such that k(i) = 0.
-3, 0, 4
Let f(j) be the third derivative of -j**5/140 - 29*j**4/56 - 2*j**3 + 268*j**2. Find d, given that f(d) = 0.
-28, -1
Let r be (-3157)/574 + (-3)/6 + (-13)/(-2). Factor -r*b + 1/4*b**2 - 3/4.
(b - 3)*(b + 1)/4
Let j(v) be the first derivative of 0*v + 7/10*v**4 + 8/25*v**5 - 2 - 1/5*v**2 + 4/15*v**3. Factor j(d).
2*d*(d + 1)**2*(4*d - 1)/5
Let b(k) = -k**2 + 78*k + 506. Let o be b(-6). Suppose 15/2*h - 7/2 + 1/2*h**3 - 9/2*h**o = 0. What is h?
1, 7
Let n(w) be the second derivative of 0 - 17*w - 1/27*w**3 - 1/54*w**4 + 0*w**2. Factor n(h).
-2*h*(h + 1)/9
Let h(f) = f**3 - f**2 + f. Let z(u) = 2*u**3 - 2*u**2 + 12*u - 8. Suppose 2 = 2*g - 6. Let y(p) = g*h(p) - z(p). Factor y(n).
2*(n - 2)*(n - 1)*(n + 2)
Let y(g) be the first derivative of -5/14*g**4 - 21 + 4/7*g**3 + 4/7*g**2 - 16/7*g + 2/35*g**5. Factor y(x).
2*(x - 2)**3*(x + 1)/7
Let s = 113/15 - 31/5. Suppose 2*d = -4*h + 8, 5*h - 4*d - 25 = 11. Suppose 2/3*a**h + s*a**3 - 2/3*a**2 + 0 + 0*a - 4/3*a**5 = 0. Calculate a.
-1, 0, 1/2, 1
Let h be -3 + 9*(-21)/(-9). Suppose -h*w + 23*w = 20. Let 5/2*s**2 + 1/6 + 2/3*s**w - 13/6*s**3 - 7/6*s = 0. What is s?
1/4, 1
Factor 4*c**4 - c**5 - 22*c - 31*c - c**4 - 4*c**2 + 53*c.
-c**2*(c - 2)**2*(c + 1)
Let n(f) be the first derivative of -f**6/960 + f**5/40 - 3*f**4/16 + 33*f**2/2 - 20. Let l(q) be the second derivative of n(q). Factor l(m).
-m*(m - 6)**2/8
Let c(n) be the second derivative of -3/4*n**2 + 0 - 3/40*n**5 + 1/8*n**4 + 1/4*n**3 + 9*n. Determine r, given that c(r) = 0.
-1, 1
Let t(c) be the second derivative of c**4/36 - c**3/6 - 2*c**2/3 + c + 65. Factor t(m).
(m - 4)*(m + 1)/3
Let y = 617 + -612. Let w(z) be the first derivative of -3/10*z**6 - 33/10*z**4 - 39/25*z**y - 18/5*z**3 - 3/5*z - 21/10*z**2 + 8. Solve w(o) = 0 for o.
-1, -1/3
Let g = -3616 + 3618. Factor -12/5*b**g - 8 - 68/5*b.
-4*(b + 5)*(3*b + 2)/5
Let g(z) be the third derivative of z**6/30 + 2*z**5/5 + 3*z**4/2 + 8*z**3/3 - z**2 - 41. Factor g(h).
4*(h + 1)**2*(h + 4)
Let n(t) = t**3 - 16*t**2 + 16*t + 14. Let w be n(16). Factor -3*q**4 - 4*q**4 + 65*q**3 - 280 + 2*q**4 + 576*q - 116*q - w*q**2.
-5*(q - 7)*(q - 2)**3
What is n in -2/3*n**4 + 86/3*n**2 + 28 + 2/3*n**3 - 170/3*n = 0?
-7, 1, 6
Let w(y) be the second derivative of -y**7/14 - y**6/10 + 27*y**5/20 - 11*y**4/4 + 2*y**3 + 170*y. Factor w(p).
-3*p*(p - 1)**3*(p + 4)
Let x be (-7)/(-21) + (-5)/(-3). Suppose -x*p = -p - 2. Find i, given that -1 + 1 - i**p + 2*i - 3*i = 0.
-1, 0
Let w = 20/183 - -34/61. Let -4/3*r**3 + 4/3*r + 1/3*r**4 + w*r**2 - 1 = 0. What is r?
-1, 1, 3
Suppose -2*t + 10 = -4*y, -4*t = 3*y + y - 20. Find l, given that -11*l**3 + y*l + 2 + 0*l**4 + 8*l**3 - l**2 - l**4 + 3*l = 0.
-2, -1, 1
Suppose -5*u + 11 = -64. Let m(k) = 4*k**3 - k**4 + 5*k + 7*k**4 + 4*k**2 + 3 - 5 + 7. Let o(n) = -n**4 - n - 1. Let z(y) = u*o(y) + 3*m(y). Factor z(q).
3*q**2*(q + 2)**2
Suppose 12*i = 11*i. Let h(n) be the second derivative of -1/16*n**4 - 6*n + i - 3/8*n**2 + 1/4*n**3. Factor h(d).
-3*(d - 1)**2/4
Let p(l) = -35*l - 5. Let q be p(-2). Find y such that -22 + 7 + 3*y**2 - 15*y**2 - 8*y**2 - q*y = 0.
-3, -1/4
Let -13*n**2 - 20*n**