*4 - 2/39*x**3. Factor s(u).
2*u**2*(u - 1)/13
Let p = 13 + -13. Let f(m) be the second derivative of 0*m**2 - 2/27*m**3 - 3*m + p - 1/54*m**4. Solve f(b) = 0.
-2, 0
Let i be (-24)/81*(-21)/4. Factor -4/9 - 10/9*b + i*b**2.
2*(b - 1)*(7*b + 2)/9
Let t(u) be the third derivative of -2/21*u**3 + 1/210*u**5 - 1/84*u**4 + 0*u + 0 + 3*u**2. Suppose t(y) = 0. Calculate y.
-1, 2
Let o(x) = x**2 - 5*x + 4. Let f(l) = -l + 1. Let y(m) = 6*f(m) - 2*o(m). Let y(r) = 0. Calculate r.
1
Suppose -2/9*v**2 + 8/9 + 0*v = 0. What is v?
-2, 2
Let u be 1*2 - 75/50. Factor -1/2*m**3 + u*m**4 - 1/2*m**2 + 1/2*m + 0.
m*(m - 1)**2*(m + 1)/2
Let z(y) be the first derivative of -y**4/30 - 2*y**3/15 + 3*y - 4. Let m(p) be the first derivative of z(p). Find l, given that m(l) = 0.
-2, 0
Find r, given that -2*r**2 + 13*r**2 + 14*r + 10*r + 48 - 8*r**2 = 0.
-4
Factor -25/2 + 1/2*d**3 + 9/2*d**2 + 15/2*d.
(d - 1)*(d + 5)**2/2
Determine t so that -58 - 23*t - t + 3*t**2 + 106 = 0.
4
Suppose -4*b - 116 = -t, 5*b + 128 = -0*b - 3*t. Let g be ((-4)/(-14))/((-4)/b). Suppose -2/5*j**g + 2/5*j**4 - 2/5*j + 0 + 2/5*j**3 = 0. What is j?
-1, 0, 1
Let g(n) be the first derivative of -5 - 2/3*n**3 + 2*n + 0*n**2. Factor g(u).
-2*(u - 1)*(u + 1)
Solve -14/3 - 2/3*d**2 + 16/3*d = 0.
1, 7
Let b(d) = -d**2 - 8*d + 3. Let k be b(-8). Find y such that -10 - 2*y + 11*y**4 + 18*y**k + 3*y**4 - 16*y - 10*y**2 + 6 = 0.
-1, -2/7, 1
Let l(g) = 4*g**4 - 7*g**3 - 9*g**2 + 7*g + 5. Let m(h) = -4*h**4 + 8*h**3 + 8*h**2 - 8*h - 4. Let p(w) = -4*l(w) - 3*m(w). Factor p(v).
-4*(v - 2)*(v - 1)*(v + 1)**2
Suppose -19 = -5*x - 4*r, 4*x + r - 16 = -3*r. Factor -z**2 + 2*z**3 - 1 - 2 - z**4 + x.
-z**2*(z - 1)**2
Let b(h) be the third derivative of h**7/4620 + h**6/990 - h**5/660 - h**4/66 + h**3/2 + 3*h**2. Let x(k) be the first derivative of b(k). Factor x(s).
2*(s - 1)*(s + 1)*(s + 2)/11
Suppose 2*b + 8 = 2*v, -v - 3*b = 5 - 1. Factor v*l + 3*l**2 - 2*l - l + 1 - 3*l.
(l - 1)*(3*l - 1)
Factor 0*x + 4/7*x**2 + 0 - 2/7*x**3.
-2*x**2*(x - 2)/7
Let m(b) = -8*b**2 - 16*b + 4. Let v(d) = -16*d**2 - 31*d + 7. Let t(h) = 11*m(h) - 6*v(h). Factor t(q).
2*(q + 1)*(4*q + 1)
Suppose -x - 12 = -9. Let s(p) = p + 1. Let i(f) = f**2 + 3. Let l(w) = x*i(w) + 6*s(w). Determine d so that l(d) = 0.
1
Let a(s) = s**2 - 13*s + 22. Let h be a(11). Let z(g) be the first derivative of h*g - 2/3*g**3 - 4 + 0*g**2. Factor z(p).
-2*p**2
Let i(y) = -2*y**2 + 11*y. Let b(o) = 6*o**2 - 32*o. Let m(p) = -5*b(p) - 14*i(p). Solve m(u) = 0.
0, 3
Suppose 4*g - 28 + 8 = 0. Let r(t) = -2*t**4 - 14*t**3 + 3*t**2 + 9*t - 11. Let k(n) = n**4 + n**3 + 1. Let d(h) = g*k(h) + r(h). Determine b so that d(b) = 0.
-1, 1, 2
Let b(w) be the first derivative of -w**7/210 + w**6/120 - 3*w**2/2 + 4. Let l(h) be the second derivative of b(h). Factor l(o).
-o**3*(o - 1)
Let p(s) be the first derivative of 1 + 3/4*s**2 - 9/4*s - 1/12*s**3. Determine r so that p(r) = 0.
3
Let b be (-1 + -1)*(-5)/15. Find u, given that 4/3*u + b*u**2 + 2/3 = 0.
-1
Let b be (0 - 9/(-15))*5. Let c(u) be the second derivative of 2*u - u**2 + 1/12*u**4 - 1/6*u**b + 0. Determine n, given that c(n) = 0.
-1, 2
Suppose s = -4, 0*k = 2*k - s - 8. Let h be (k/(-30))/((-2)/12). Suppose h*w**2 - 4/5 - 2/5*w = 0. What is w?
-1, 2
Let k(y) be the second derivative of -y**5/5 + 7*y**4/3 - 10*y**3 + 18*y**2 - 3*y. Suppose k(s) = 0. Calculate s.
1, 3
Factor 2/3*y + 1/6*y**2 + 2/3.
(y + 2)**2/6
Factor 2/3*r + 0 - 2/3*r**2.
-2*r*(r - 1)/3
Let w(f) = -2*f**3 - 14*f**2 - 14*f - 2. Let i(h) = h**3 + 15*h**2 + 15*h + 1. Let o(k) = 2*i(k) + 3*w(k). Factor o(p).
-4*(p + 1)**3
Let f(j) be the first derivative of -3*j**4/4 - j**3 + 3*j**2 - 32. Suppose f(y) = 0. What is y?
-2, 0, 1
Suppose 0 = 3*f - 2*f. Suppose -h + 4 - 2 = f. Factor 3*i**2 + 0*i**3 - 2*i**3 + i**h - 2*i.
-2*i*(i - 1)**2
Let a be (-101616)/140 + 6/15. Let l = a + 728. What is m in 2/7*m - l*m**2 + 0 - 32/7*m**4 + 48/7*m**3 = 0?
0, 1/4, 1
Let i(k) = -k**2 + 2*k - 1. Let c(h) = -h**2 + h. Suppose m + 0 = 4. Let d(z) = m*c(z) - 3*i(z). Find x, given that d(x) = 0.
-3, 1
Let d(b) = 11*b**2 - 36*b + 51. Let a(z) = -65*z**2 + 215*z - 305. Let n(i) = 6*a(i) + 35*d(i). Factor n(r).
-5*(r - 3)**2
Let q(f) be the third derivative of 0*f + 0 - 1/150*f**7 + 6*f**2 - 3/100*f**6 - 1/15*f**5 + 0*f**3 - 1/15*f**4 - 1/1680*f**8. Factor q(x).
-x*(x + 1)*(x + 2)**3/5
Determine a so that 51*a**2 - 12*a**3 - 9 - 12*a + 8 + 1 = 0.
0, 1/4, 4
Let r(y) be the second derivative of -y**6/30 + y**5/10 + y**4/4 - 2*y**3/3 - 2*y**2 - 14*y. Factor r(q).
-(q - 2)**2*(q + 1)**2
Let h(i) = -i - 4*i**2 + 9*i**2 - i**3 + 10 - 3. Let z be h(5). Solve z*u**2 + 0*u**2 + 0*u**2 = 0.
0
Let b(g) be the second derivative of 3*g**5/5 - 7*g**4/12 + g**3/6 + 10*g. Determine o so that b(o) = 0.
0, 1/4, 1/3
Let a be (-1)/(14 - 12 - (-9)/(-4)). Let y(u) be the third derivative of -2*u**2 + 1/120*u**5 + 0*u + 1/16*u**a + 1/6*u**3 + 0. Factor y(s).
(s + 1)*(s + 2)/2
Let v(h) be the second derivative of -h**7/21 - 6*h**6/25 - 7*h**5/50 + 13*h**4/15 + 4*h**3/5 - 8*h**2/5 - 7*h. Let v(x) = 0. Calculate x.
-2, -1, 2/5, 1
Factor -10/11*l**3 - 4/11 - 18/11*l - 24/11*l**2.
-2*(l + 1)**2*(5*l + 2)/11
Let s be (-3)/(1 + 2) + -5. Let g be s/(4/6*-3). Determine v so that 6*v**2 + 3*v**g - 4*v**2 - 5*v**3 = 0.
0, 1
Let k(o) be the second derivative of o**4/36 - 11*o**3/18 - 3*o + 2. Find p such that k(p) = 0.
0, 11
Let i(u) be the first derivative of -u**6/5 - 9*u**5/5 + 3*u**4/2 + 3*u**3 - 12*u**2/5 + 15. Find f, given that i(f) = 0.
-8, -1, 0, 1/2, 1
Let f(k) be the first derivative of 0*k + 1/26*k**4 + 2/39*k**3 - 2/13*k**2 + 1. What is x in f(x) = 0?
-2, 0, 1
Let h be 3/2*-14 + -1. Let z(o) = o**2 + 2*o - 1. Let f(i) = -5*i**2 - 11*i + 5. Let m(d) = h*z(d) - 4*f(d). Suppose m(v) = 0. What is v?
-1, 1
Factor 2 + 50/9*d**3 + 110/9*d**2 + 26/3*d.
2*(d + 1)*(5*d + 3)**2/9
Let f = 99 + -97. Factor 0 - 2/13*c - 2/13*c**f.
-2*c*(c + 1)/13
Let a = -386701563/772 + 500909. Let q = 2/193 + a. Factor 0 - 1/4*d**2 + q*d.
-d*(d - 1)/4
Let x(q) = -14*q**3 + 0*q - 8*q + 22*q**3. Let z be (-3 - -1)*10/(-4). Let u(o) = -o**3 + o. Let k(c) = z*u(c) + x(c). Factor k(t).
3*t*(t - 1)*(t + 1)
Let g be (2/(-5))/(-2*40/1950). Solve 123/4*t**3 - 3/2 - 21*t**5 - g*t + 39/4*t**4 - 33/4*t**2 = 0 for t.
-1, -2/7, -1/4, 1
Let c(u) be the second derivative of 1/8*u**4 + 1/3*u**3 - 1/2*u**2 + 1/60*u**5 + 0 + 3*u. Let d(y) be the first derivative of c(y). Solve d(h) = 0 for h.
-2, -1
Suppose 2*h = 3*s + 23, -h + 3*s + 10 = 2*s. Suppose 0 = h*j - 7 - 7. Factor 0 + 2/3*g**j + 0*g.
2*g**2/3
Let i(t) = -t**3 + t**2 + 2*t. Let b be i(0). Factor 1/3*l**2 + b - 1/3*l.
l*(l - 1)/3
Solve -2*v**2 - 7*v**5 + 2*v**3 + 4*v**3 - 4*v + 5*v**5 + 2*v**4 = 0 for v.
-1, 0, 1, 2
Let j = -57 + 286/5. Determine q, given that 1/5*q**2 - j*q - 2/5 = 0.
-1, 2
Let z(v) = -16*v**3 - 36*v**2 - 26*v + 56. Let j(y) = -3*y**3 - 7*y**2 - 5*y + 11. Let r(p) = -11*j(p) + 2*z(p). Factor r(s).
(s - 1)*(s + 3)**2
Suppose 5*h + 20 = -15. Let l(x) = -2*x**2 - 2*x + 7. Let c(q) = -2*q**2 - 2*q + 6. Let i(z) = h*c(z) + 6*l(z). Factor i(u).
2*u*(u + 1)
Let t be (-6)/(-4) - (-5)/10. Suppose 8 = -b - 5*z, b = t*z - 0*z + 6. Factor -1/3*o**3 + 1/3 + o**b - o.
-(o - 1)**3/3
Let a(p) be the first derivative of -p**8/672 - p**7/105 - p**6/48 - p**5/60 - p**2 - 1. Let d(k) be the second derivative of a(k). Factor d(y).
-y**2*(y + 1)**2*(y + 2)/2
Let w = 496/735 + -2/245. Factor 2/3*j + w*j**4 - 2/3*j**3 + 0 - 2/3*j**2.
2*j*(j - 1)**2*(j + 1)/3
Let u(a) = -6*a**3 - a**2. Let v be u(-1). Factor v*n**2 - 2*n**2 + 14*n - 11*n.
3*n*(n + 1)
Let z(w) be the first derivative of w**4/6 + 2*w**3/9 - w**2/3 - 2*w/3 - 8. Factor z(o).
2*(o - 1)*(o + 1)**2/3
Let i = 12 - 4. Let b = -4 + i. Let -3*y**2 + 8*y**3 - 3*y**b + y**2 - 5*y**4 = 0. What is y?
0, 1/2
Let -2/5*o**2 - 4/5*o**5 + 11/5*o**4 - o**3 + 0*o + 0 = 0. Calculate o.
-1/4, 0, 1, 2
Let z be -6 - (-2 + (-1 - -2)). Let y be 5 + -3 + (z - -3). Factor y - 2/5*a**3 + 0*a**2 + 4/5*a**4 - 2/5*a**5 + 0*a.
-2*a**3*(a - 1)**2/5
Let f be (-1)/(9/18 + -1 + 0). Factor -j**4 - 1/3*j**f + 0 + 0*j - j**3 - 1/3*j**5.
-j**2*(j + 1)**3/3
Suppose 2*a - 3*f + 4 = 0, -6*f + 4 = -3*a - 2*f. Let i = -12 - -12. Determine l so that i*l + 4/3*l**3 - 2