+ 1 - 14*u - 1 - 30*u**r - 2 = 0.
-1, -1/3
Let g = 5 - 3. Factor -6 - 2*j**2 - 8*j + 5*j + 5*j**g.
3*(j - 2)*(j + 1)
Suppose -4*z - 5*q = 2, 0 = -3*q - 0*q - 6. Let p(v) be the second derivative of 1/2*v**z + 1/12*v**4 + 0 - 3*v - 1/3*v**3. Factor p(d).
(d - 1)**2
Let x(s) = -s**3 - 4*s**2 + s + 1. Let n(z) = -3*z**2 + 1. Let u(d) = -3*n(d) + 2*x(d). Factor u(i).
-(i - 1)*(i + 1)*(2*i - 1)
Let t be -3 + -5 - 496/(-56). Determine j, given that 10/7*j**3 - 4/7*j - t*j**2 + 0 = 0.
-2/5, 0, 1
Let t(o) be the second derivative of 0*o**2 + 1/56*o**7 + 1/80*o**5 - 1/24*o**6 + 1/48*o**4 + 0*o**3 + 0 + 5*o. Determine u, given that t(u) = 0.
-1/3, 0, 1
Let n(j) be the third derivative of 121*j**5/90 - 11*j**4/9 + 4*j**3/9 - 4*j**2. Factor n(a).
2*(11*a - 2)**2/3
Suppose 6*j = -4*q + 2*j + 24, -5*j = q - 18. Let l be (-24)/(-35) + (-6)/15. Factor 0 - l*d + 2/7*d**4 + 6/7*d**2 - 6/7*d**q.
2*d*(d - 1)**3/7
Let n(r) = 5*r**3 - r**2 - r + 1. Let x be n(1). Suppose 0 = x*c - 3*c. Find i such that 1/3*i**3 + 0 + 1/3*i**4 - 1/3*i**2 + c*i - 1/3*i**5 = 0.
-1, 0, 1
Let o = 6 - 1. Suppose -4*h - 2*i = -4*i - 10, -h = -3*i + o. Determine m, given that -39*m - 1 + 62*m**2 + 7 + 12*m**2 + 21*m**h + 7*m**2 - 69*m**3 = 0.
2/7, 1
Let x(p) be the first derivative of -1 + 0*p + 0*p**2 + 2/35*p**5 - 1/14*p**4 - 2/21*p**3 + 1/21*p**6. Let x(n) = 0. Calculate n.
-1, 0, 1
Suppose 5*g - 8*g + 12 = 0. Factor -27*o**3 - 9*o**2 - 19*o**4 + 2*o + g*o**4 + o.
-3*o*(o + 1)**2*(5*o - 1)
Suppose i = t - 3, 1 = 4*i + t - 2. Suppose i = -6*v + 4*v. Solve v - 1/2*g - 3/4*g**2 = 0.
-2/3, 0
Let v(d) be the third derivative of -d**6/30 + d**4/2 - 4*d**3/3 + 39*d**2. Factor v(u).
-4*(u - 1)**2*(u + 2)
Factor -3/7*j**2 + 3/7*j**3 + 0 - 3/7*j + 3/7*j**4.
3*j*(j - 1)*(j + 1)**2/7
Let q(v) be the third derivative of v**5/12 + 5*v**4/24 + 3*v**3/2 + 5*v**2. Let m(u) = -u**2 - u - 2. Let n(b) = 9*m(b) + 2*q(b). Factor n(j).
j*(j + 1)
Let v = 689/4 - 687/4. Factor 0*k + 0 - 1/4*k**3 - v*k**2.
-k**2*(k + 2)/4
Let b = -354 - -357. Solve 1/6*j - 1/3*j**b - 1/6 + 1/6*j**5 - 1/6*j**4 + 1/3*j**2 = 0.
-1, 1
Let a = 89/2 - 44. Find j, given that 0 + 0*j + a*j**4 + 1/4*j**3 - 1/4*j**2 = 0.
-1, 0, 1/2
Let r(t) = -4*t**2 - 9*t - 5. Let z(l) = 2*l**2 + 4*l + 2. Let f(g) = 2*r(g) + 5*z(g). Factor f(i).
2*i*(i + 1)
Let n be ((-2)/10)/(12/(-2140)). Let i = 36 - n. Determine t, given that 0 - i*t**2 - 1/3*t = 0.
-1, 0
Let p(y) be the first derivative of -y**5/4 - 5*y**4/8 + 35*y**3/12 - 5*y**2/2 - 11. Factor p(z).
-5*z*(z - 1)**2*(z + 4)/4
Suppose -21 = -9*f + 2*f. Let 0 + 3/2*b**2 - 3/4*b**f - 3/4*b = 0. Calculate b.
0, 1
Let o(u) = 12*u + 72. Let w be o(-6). Factor 1/2*i**3 + w + 0*i**2 - 1/2*i.
i*(i - 1)*(i + 1)/2
Let h = 391/3 + -130. Let 1/3*i**3 + 0 + 1/3*i**2 - h*i - 1/3*i**4 = 0. What is i?
-1, 0, 1
Let z(j) = 8*j**3 + 14*j**2 + 2*j - 6. Let l(t) = -17*t**3 - 29*t**2 - 3*t + 13. Let u(o) = 6*l(o) + 13*z(o). Let u(g) = 0. Calculate g.
-2, 0
Let n(x) be the first derivative of 2*x**5/75 - 2*x**4/15 + 2*x**3/9 - 2*x**2/15 + 3. Let n(u) = 0. Calculate u.
0, 1, 2
Let k(o) be the second derivative of 0 + 3/8*o**2 - o + 1/16*o**4 + 1/4*o**3. Solve k(t) = 0.
-1
Let h(o) = o - 1. Let b(y) = 4*y**3 + 3*y**2 - 8*y + 7. Let r(l) = 2*l - 1. Let a be r(2). Suppose -a*v = 2*v - 70. Let i(g) = v*h(g) + 2*b(g). Factor i(x).
2*x*(x + 1)*(4*x - 1)
Let d(v) = -v**2 - 1. Let o = -8 - -10. Let m(a) = 8*a**2 - 4*a + 6. Let y(l) = o*m(l) + 18*d(l). Factor y(p).
-2*(p + 1)*(p + 3)
Let n(v) be the third derivative of -v**6/420 + v**5/210 + 20*v**2. Factor n(y).
-2*y**2*(y - 1)/7
Let d(v) = -63*v**3 + 270*v**2 - 324*v + 72. Let c(l) = -42*l**3 + 180*l**2 - 216*l + 48. Let q(x) = -8*c(x) + 5*d(x). Let q(y) = 0. Calculate y.
2/7, 2
Let w(s) be the first derivative of 1/10*s**5 + 1/2*s**4 + 1/2*s**3 + 0*s + 0*s**2 + 2. Suppose w(n) = 0. Calculate n.
-3, -1, 0
Let r be ((-8)/6)/((-8)/12). Find h, given that h**2 + h**2 + 0*h**3 - r*h**4 + 2*h**5 - 2*h**3 = 0.
-1, 0, 1
Let t = 3 - 1. Suppose 0 = -r - 4*d + 3*d + 7, 0 = 4*r - d - 3. Find q, given that r*q**t + 2*q**2 - 2*q**4 - 2*q**2 = 0.
-1, 0, 1
Let d(m) = 6 - 2*m**3 - 2 + 1 + 7*m**2 + 0*m**2. Let b(g) = 0*g**2 + 2*g**2 - 3*g**2 - 1. Let o(w) = 5*b(w) + d(w). Determine a so that o(a) = 0.
0, 1
Let u(b) = b**2 + 2*b. Let a be u(-6). Solve 2*r**2 - 5*r**2 - 24*r + a*r**3 + r**4 + 3 + 9 - 10*r**4 = 0.
-1, 2/3, 1, 2
Suppose 3*v + 2 = 2*x, -2 = -4*v + 2*x - 4. Suppose 2*t + t + 5*u - 19 = v, -2*t = -5*u + 4. Factor 0*m + 0*m**2 + 0*m**t + 2/5*m**4 + 0.
2*m**4/5
Let p be 6 + 3/((-63)/119). Solve -1/3*a**4 + p*a**2 + 1/3*a**3 + 0 - 1/3*a = 0.
-1, 0, 1
Let g(a) = 4*a**2 - 7*a. Let u(k) = 3*k**2 - 6*k. Let t(x) = 4*g(x) - 6*u(x). Factor t(j).
-2*j*(j - 4)
Let 1 - x**2 + 1/2*x - 1/2*x**3 = 0. Calculate x.
-2, -1, 1
Let v be 386/(-520) + 1/4. Let k = -6/65 - v. Factor -k*a - 2/5 + 2/5*a**2 + 2/5*a**3.
2*(a - 1)*(a + 1)**2/5
Let s(q) be the first derivative of -6 + 1/5*q**5 + 1/4*q**4 - 1/3*q**3 - 1/2*q**2 + 0*q. Factor s(n).
n*(n - 1)*(n + 1)**2
Let i(w) be the first derivative of 1 + 1/15*w**3 + 1/10*w**2 + 0*w. Factor i(k).
k*(k + 1)/5
Suppose -6*k = -3*k - 9. Suppose -k*q + 2 + 4 = 0. Factor 1/2*p**3 + 3/2*p - 1/2 - 3/2*p**q.
(p - 1)**3/2
Suppose z = 4*a - 20, -2*z - a = 3*a - 20. Let l = 78/371 + 4/53. Find q such that z - l*q**2 - 2/7*q = 0.
-1, 0
Let g(o) be the third derivative of o**6/90 + o**5/10 + o**4/3 - 5*o**3/6 - 3*o**2. Let w(i) be the first derivative of g(i). Determine x so that w(x) = 0.
-2, -1
Let a(l) be the second derivative of l**7/126 - 5*l. Suppose a(b) = 0. What is b?
0
Let o(v) be the second derivative of v**9/12096 + v**8/3360 - v**7/2520 + v**4/12 + 7*v. Let b(q) be the third derivative of o(q). Find l such that b(l) = 0.
-2, 0, 2/5
Let u(r) = 5*r**5 - 4*r**4 - r**3 + 8*r**2 + 2*r - 7. Let f(l) = 6*l**5 - 4*l**4 + 8*l**2 + 2*l - 8. Let s(i) = 3*f(i) - 4*u(i). Find j, given that s(j) = 0.
-1, 1, 2
Let n be -2*15/(-40)*4. Determine f, given that -12/5*f**5 - 9/5*f**2 - 3/5*f + 0 + 9/5*f**4 + n*f**3 = 0.
-1, -1/4, 0, 1
Let r = -22 + 24. Factor -3/5*x**3 + 0 - 3/5*x**4 + 3/5*x**r + 3/5*x.
-3*x*(x - 1)*(x + 1)**2/5
Let r(a) = 4*a**3 - 5*a**2 + 7. Let h(c) = 2*c**3 - 2*c**2 + 3. Let z(o) = 5*h(o) - 2*r(o). Let m be z(1). Factor 3/2*t**2 + 3/2*t + 1/2 + 1/2*t**m.
(t + 1)**3/2
Let k(h) = -h**3 - 5*h**2 + 6*h + 2. Let c be k(-6). Factor -2 + c*n - n**2 + 0*n + 0*n - 5*n.
-(n + 1)*(n + 2)
Suppose 0*l = 5*l - 30. Suppose 5*t - 9*t**3 - 25*t - t + l + 24*t**2 = 0. What is t?
2/3, 1
Let y(c) be the first derivative of -1/8*c**4 - 1/3*c**3 - 1/4*c**2 + 0*c - 5. Factor y(o).
-o*(o + 1)**2/2
Factor -2/15*t**3 - 8/15*t + 8/15*t**2 + 0.
-2*t*(t - 2)**2/15
Let a(w) be the second derivative of w**5/20 - w**4/3 + 2*w**3/3 - 6*w. Factor a(m).
m*(m - 2)**2
Let z(k) = 14*k**2 + 2*k. Let f(d) = -5*d**2 - d. Let a(l) = 8*f(l) + 3*z(l). Solve a(t) = 0.
0, 1
Let v(j) = -j**2 - 5*j + 5. Let l be v(-5). Let u(d) = -d + 6. Let b be u(3). Factor 11*p**b - l*p**2 - 4 - 5*p**2 + 14*p**4 + 7*p**3 - 18*p.
2*(p - 1)*(p + 1)**2*(7*p + 2)
Let g = 7375928316853/21564 - 1026144719/3. Let j = g + -1/2396. Factor -14/9*t**2 + j*t - 8/9.
-2*(t - 2)*(7*t - 2)/9
Suppose -s + 30 = 2*s. Suppose -3*d - l + s = -3*l, -3*l - 6 = 0. Determine p so that -4/9*p**d + 0 - 2/9*p**3 - 2/9*p = 0.
-1, 0
Let a(y) be the third derivative of -1/12*y**3 + 1/60*y**6 - 1/20*y**5 + 1/12*y**4 - 1/420*y**7 + 0*y + 0 - 2*y**2. Suppose a(t) = 0. Calculate t.
1
Let i(j) = -j**2 + 2. Let p be i(2). Let m be 24/18 + p/(-3). Factor 4/9 - 2/3*c**m + 2/9*c.
-2*(c - 1)*(3*c + 2)/9
Solve 1/5*w**2 + 0*w + 0 = 0.
0
Let n(a) be the third derivative of -2*a**7/945 - a**6/135 + a**4/27 + 2*a**3/27 + a**2. Factor n(c).
-4*(c - 1)*(c + 1)**3/9
Let b = -61/4 - -187/12. Let o = 5/3 - 1. Solve 0 - o*i**3 - 1/3*i**4 - b*i**2 + 0*i = 0 for i.
-1, 0
Let s(b) be the second derivative of b**4/48 + b**3/12 - 3*b**2/8 + 53*b. Factor s(g).
(g - 1)*(g + 3)/4
Determine i so that -i**4 + 5*i**4 + 6*i**2 - 2*i**4 - 11*i**3 + i**3 + 18*i = 0.
-1, 0, 3
Let c(g) be the third derivative of -g**5/30 + g**3/3 - 4*g**2. Factor c(v).
-2*(v - 1)*(v + 1)
Let l(f) = 2*f**4 + 6*f**3 + 6*f**2 + 5*f + 3. Let i(z) = 4*z**4 + 12*z**3 + 12*z**2 + 11*z + 7. Let b(a) = -3*i(a) + 7*