 - 1 - 1 - 4*d**2 - 4*d. Let m(r) = g*c(r) - 9*j(r). Factor m(z).
2*(z + 1)**2
Factor -8/9 + 2/9*t**2 + 0*t.
2*(t - 2)*(t + 2)/9
Let n = 188 + -375/2. Factor 3/4*s - n + 0*s**2 - 1/4*s**3.
-(s - 1)**2*(s + 2)/4
Let u(h) = -h**2 - 5*h + 6. Let w be u(-6). Let c be 19/(-7) + (4 - 1). Solve 0*i**4 + w*i**2 + 2/7*i + c*i**5 + 0 - 4/7*i**3 = 0.
-1, 0, 1
Suppose i + 5*t + 12 = 0, i = -3*i + 5*t + 27. Let f be 2*6/(i/1). Determine x so that -x**4 + 0*x**2 - x**2 + 0*x**f - 2*x**3 = 0.
-1, 0
Suppose 0 + 2/7*q**2 + 2/7*q - 2/7*q**3 - 2/7*q**4 = 0. What is q?
-1, 0, 1
What is s in 13*s**3 - 3*s - 16*s**2 - 6*s + 13*s - 3*s**4 = 0?
0, 1/3, 2
Let b(x) = -x**3 + 3*x - 2. Let g be b(2). Let p = 7 + g. Factor -6*q**2 - 2*q - q + 3*q - 15*q**p.
-3*q**2*(5*q + 2)
Let i(y) be the first derivative of -39*y**2 + 14*y - 1 - 2*y - 15*y**2 + 100*y**3 - 19*y**3. Factor i(o).
3*(9*o - 2)**2
Let f(z) = z**3 + 5*z**2 - 2*z - 3. Let d be f(-5). Let v be 8/(-16) + d/6. Factor 2/3 + 0*a - v*a**2.
-2*(a - 1)*(a + 1)/3
Let t be 2/(3/((-15)/(-2))). Let r(z) be the third derivative of 1/96*z**4 + 0*z**3 + z**2 + 0*z**7 + 1/1344*z**8 + 0 - 1/240*z**6 + 0*z**t + 0*z. Factor r(j).
j*(j - 1)**2*(j + 1)**2/4
Let j(r) be the first derivative of -r**7/3360 - r**6/480 - r**5/240 - r**3/3 + 3. Let l(s) be the third derivative of j(s). Factor l(u).
-u*(u + 1)*(u + 2)/4
Let o = 410476 - 18472726/45. Let j = -144/5 - o. Factor -j*s**2 + 0 + 4/9*s.
-2*s*(s - 2)/9
Let u(d) be the second derivative of d**4/6 - 2*d**3/3 + 11*d. Factor u(j).
2*j*(j - 2)
Let p(k) be the second derivative of -5*k**7/42 + k**5/2 - 5*k**3/6 + 15*k. What is l in p(l) = 0?
-1, 0, 1
Let f be 6 + (-7 - (-20)/5). Let x = -13/3 + 5. Suppose -x + 2*o + 2/3*o**f - 2*o**2 = 0. Calculate o.
1
Let m be 42/279*2/(-7). Let b = m - -772/651. What is a in -32/7*a + b + 2*a**2 = 0?
2/7, 2
Let y(p) be the third derivative of -1/12*p**4 - 1/60*p**5 - 1/6*p**3 + 0*p - 3*p**2 + 0. Factor y(v).
-(v + 1)**2
Let a = 91 + -91. Determine k so that a - 2/5*k + 2/5*k**2 = 0.
0, 1
Suppose 4*f = 10*f - 3*f. Factor -2/7*x**2 + f + 2/7*x**3 + 0*x + 2/7*x**4 - 2/7*x**5.
-2*x**2*(x - 1)**2*(x + 1)/7
Let f be (-19)/((-4655)/42)*(-15)/(-9). Let w be -3*3/(18/(-4)). Factor -2/7*g + 0 + f*g**w.
2*g*(g - 1)/7
Let f = 8 - 6. Let q be -4 + 5/(-35) + 5. Find s, given that -q*s - 2/7 + 2/7*s**f + 6/7*s**3 = 0.
-1, -1/3, 1
What is r in 2/9*r**5 + 0*r + 2*r**4 + 0 + 16/3*r**3 + 32/9*r**2 = 0?
-4, -1, 0
Factor x**4 + 3*x**3 - 4 + 11 - 7 + 2*x**2.
x**2*(x + 1)*(x + 2)
Factor -18/7 + 12/7*g - 2/7*g**2.
-2*(g - 3)**2/7
Let g(l) be the second derivative of l**8/168 + 2*l**7/105 - l**5/15 - l**4/12 - l**2 - 3*l. Let o(y) be the first derivative of g(y). Factor o(p).
2*p*(p - 1)*(p + 1)**3
Let 48 - 2*j**3 + 2*j + 0*j**2 + 2*j**2 - 50 = 0. Calculate j.
-1, 1
Let c(t) be the second derivative of t**6/1080 - t**5/360 + 2*t**3/3 + t. Let x(j) be the second derivative of c(j). Factor x(n).
n*(n - 1)/3
Let r(n) be the first derivative of 2*n**6/105 - n**5/14 + 2*n**4/21 - n**3/21 - 6*n - 6. Let x(u) be the first derivative of r(u). Let x(v) = 0. What is v?
0, 1/2, 1
Let u(w) be the first derivative of -1/3*w**2 + 1/18*w**3 + 2/3*w + 1. Factor u(f).
(f - 2)**2/6
Let t = 573 + -27503/48. Let a(r) be the third derivative of 0*r**3 - t*r**4 + r**2 + 0 - 1/120*r**5 + 0*r. Let a(q) = 0. Calculate q.
-1, 0
Let w(m) be the second derivative of m**7/126 - m**5/30 + m**3/18 - 25*m. Factor w(n).
n*(n - 1)**2*(n + 1)**2/3
Let d(v) = v**3 - 9*v**2 + 9*v - 6. Let i be d(8). Solve -c**2 - 6 - 2*c + i + 3*c**2 = 0 for c.
-1, 2
Let a(s) be the first derivative of -s**7/2940 + s**6/420 - s**5/140 + s**4/84 + 7*s**3/3 - 8. Let h(p) be the third derivative of a(p). Factor h(z).
-2*(z - 1)**3/7
Suppose 6 = 3*w - 6. Suppose -5 = -w*a + 7. What is r in -10*r + a*r - 2 - 2*r - 4*r**2 = 0?
-2, -1/4
Let o = 1606/3 + -532. Solve -1/3*x + x**5 - o*x**3 + 4*x**2 - 2/3 - 2/3*x**4 = 0.
-2, -1/3, 1
Let j be 3/(-6)*8/(-2). Suppose -5*y + 6 = 4*t, -3*y - 1 = j*t - 5. Factor 0 + 4/7*g + y*g**2 + 10/7*g**3.
2*g*(g + 1)*(5*g + 2)/7
Let y(v) be the second derivative of 2*v**6/75 + v**5/5 + 7*v**4/15 + 2*v**3/5 + 15*v. What is f in y(f) = 0?
-3, -1, 0
Let l(a) be the third derivative of a**5/45 - 5*a**4/36 + 2*a**3/9 - 4*a**2. What is m in l(m) = 0?
1/2, 2
Suppose -u = -4*u + 3. Let i be 1 + -2 + 6 + u. Factor i - t**2 - 6.
-t**2
Let s be (-2)/4 - 75/(-10). Factor 47*p + 81*p**3 + 3 + 60*p**2 + 1 + 57*p**2 - s*p.
(p + 1)*(9*p + 2)**2
Let u(t) be the first derivative of 3*t**5/5 - 9*t**4/4 + 2*t**3 - 3. Factor u(g).
3*g**2*(g - 2)*(g - 1)
Let m(f) be the first derivative of 4/3*f**3 - 2 - 4*f**2 + 4*f. Factor m(s).
4*(s - 1)**2
Let l be 5/(-15)*(0 - 1). Let h(q) be the first derivative of -l*q - 1/9*q**3 - 1/3*q**2 + 2. Solve h(u) = 0 for u.
-1
Let n = 6 + 0. Let g(b) = -7*b**2 - 3*b - 11. Let j(a) = -2*a**2 - a - 3. Let f(z) = n*g(z) - 22*j(z). Factor f(i).
2*i*(i + 2)
Factor -2/9*v**5 - 4/3*v**3 + 0 + 10/9*v**4 + 16/9*v - 8/9*v**2.
-2*v*(v - 2)**3*(v + 1)/9
Let g(h) = -2*h + 3*h + 0*h + 10. Let f be g(-8). Factor -6*i**2 + i**5 + 3*i**2 + 2*i**4 + i**f - i.
i*(i - 1)*(i + 1)**3
Let c(z) be the first derivative of z**3/8 - 3*z**2/16 - 3*z/4 + 7. Solve c(v) = 0.
-1, 2
Let m(t) = -t + 4. Let s(a) = -a**2 - 10*a + 4. Let j be s(-10). Let i be m(j). Factor 0 + 1/2*w**3 + i*w + 0*w**2 - 1/2*w**4.
-w**3*(w - 1)/2
Let x = -22 + 25. Let o(h) be the second derivative of 1/20*h**5 - 1/6*h**x + 1/2*h**2 + h + 0 - 1/12*h**4. Find a, given that o(a) = 0.
-1, 1
Find c such that -16 - 55*c**3 - 252*c**2 + 59*c**3 + 94*c**3 + 120*c = 0.
2/7, 2
Determine j, given that 25*j + 7*j**3 - 1/2*j**4 + 125/2 - 30*j**2 = 0.
-1, 5
Let w(t) be the first derivative of 4 + 1/15*t**5 + 0*t - 1/4*t**4 + 0*t**3 + 0*t**2. Factor w(m).
m**3*(m - 3)/3
Factor -20 + 5*k**2 - 44*k - 20*k**2 + 4*k.
-5*(k + 2)*(3*k + 2)
Let p(r) be the third derivative of -r**10/20160 - r**9/6048 - r**8/6720 - r**4/24 + 4*r**2. Let u(z) be the second derivative of p(z). Factor u(d).
-d**3*(d + 1)*(3*d + 2)/2
Determine d, given that 4*d**2 - 9 - 16*d + 23 - 14 = 0.
0, 4
Let o(p) be the first derivative of -p**3/15 + 3*p**2/5 - 9*p/5 + 4. Find b, given that o(b) = 0.
3
Let r(g) be the third derivative of 0*g + 0*g**4 + 1/120*g**6 - 1/60*g**5 + 0*g**3 + 2*g**2 + 1/210*g**7 - 1/336*g**8 + 0. Find b, given that r(b) = 0.
-1, 0, 1
Let z be (-12)/32*-4*2. Let x be ((-9)/(-18))/(2/z). Let x*i**2 - 1/2*i - 1/4*i**3 + 0 = 0. What is i?
0, 1, 2
Let h(d) = -5*d**2 - 12*d - 14. Let n(l) = -4*l**2 - 29 + 5*l - 7*l**2 - 29*l. Let f = -17 - -15. Let a(b) = f*n(b) + 5*h(b). Factor a(o).
-3*(o + 2)**2
Factor 0 - 3/2*m - 3/2*m**2 + 3/2*m**3 + 3/2*m**4.
3*m*(m - 1)*(m + 1)**2/2
Let w(j) be the first derivative of -242*j**3/27 - 44*j**2/3 - 8*j + 15. Factor w(n).
-2*(11*n + 6)**2/9
Suppose 0 = 4*f + 20, -4*f - 6 = b - 2*f. Determine u so that 9/2*u**3 + 0 - 7/2*u**b - u**2 + 0*u = 0.
0, 2/7, 1
Let g(v) be the third derivative of v**5/150 - v**4/30 - 2*v**2. Find w such that g(w) = 0.
0, 2
Let f(n) be the second derivative of n**5/70 - n**4/7 + 4*n**3/7 - 8*n**2/7 - 2*n. Determine x, given that f(x) = 0.
2
Determine d so that 16/7*d**2 - 16/7*d - 28*d**4 + 28*d**3 + 0 = 0.
-2/7, 0, 2/7, 1
Determine u so that -4*u**5 + 4*u**3 - 6 + 1 - 4*u**4 + 4*u**2 + 5 = 0.
-1, 0, 1
Let a = 3 + 0. Suppose -4*x = 5*m + x - 20, 4*x - 16 = a*m. Factor m*o**2 + 0 + 0*o - 2/3*o**3.
-2*o**3/3
Let n(q) be the first derivative of 0*q**2 + 5/27*q**6 - 3 + 16/45*q**5 + 1/18*q**4 - 4/27*q**3 + 0*q. Factor n(m).
2*m**2*(m + 1)**2*(5*m - 2)/9
Let t(q) = -q**2 + q + 12. Let p be t(0). Let s be -1 + p/(-14) + 3. Let -2/7*w**2 - 8/7*w - s = 0. Calculate w.
-2
Let v(j) = j**3 + 19*j**2 + 34*j - 234. Let h(w) = w**3 - w**2 - w + 1. Let n(m) = -6*h(m) + v(m). Factor n(y).
-5*(y - 4)**2*(y + 3)
Let l(c) be the first derivative of c**8/336 - c**7/140 + c**6/240 + c**2 + 5. Let n(f) be the second derivative of l(f). Factor n(z).
z**3*(z - 1)*(2*z - 1)/2
Suppose -6*i - 2 = -14. Let n(v) be the first derivative of -2*v + 4*v**3 - 7/4*v**4 - 3/2*v**i - 2. Solve n(a) = 0 for a.
-2/7, 1
Let h(b) be the first derivative of 2*b**5/15 + b**4/6 - 16*b**3/9 - 4*b**2 - 68. What is x in h(x) = 0?
-2, 0, 3
Let m be ((-20)/(-48)*-2