n**3 + 6*n**2 - 8*n + 2. Let b(r) = -2*f(r) - i(r). Factor b(k).
-2*(k - 1)**4*(k + 1)
Let d(r) = 0*r - 29*r - 5 + 3*r + 4 + 5*r**2. Let n(g) = g**2 - 5*g. Let x(m) = 6*d(m) - 33*n(m). What is t in x(t) = 0?
1, 2
Let f be (-99)/11*(1 - 69/63). Solve f*y**2 - 2/7*y**3 - 6/7*y + 2/7 = 0 for y.
1
Let p be ((-18)/(-10) - 3)/(60/(-100)). Suppose 1/2 - 3/4*i + 1/4*i**p = 0. What is i?
1, 2
Let j(a) be the first derivative of -a**6/15 + a**5/5 - a**4/6 - 3*a + 3. Let i(t) be the first derivative of j(t). Factor i(f).
-2*f**2*(f - 1)**2
Let p(m) be the second derivative of m**8/8400 + m**7/6300 - m**6/1800 - m**4/4 + m. Let w(h) be the third derivative of p(h). Factor w(z).
2*z*(z + 1)*(2*z - 1)/5
Let o(f) be the first derivative of f**6/2 - 3*f**4/2 + 3*f**2/2 - 5. Factor o(d).
3*d*(d - 1)**2*(d + 1)**2
Factor -3/4*f + 9/2 - 3/4*f**2.
-3*(f - 2)*(f + 3)/4
Let a(s) be the third derivative of s**7/210 - s**6/60 + s**5/60 + 66*s**2. What is v in a(v) = 0?
0, 1
Let y(w) be the third derivative of -w**5/390 - w**4/39 - w**3/13 - 16*w**2. Determine u so that y(u) = 0.
-3, -1
Find c, given that -5*c**2 + 4*c**2 - c + 4*c**3 - 7*c + 5*c**2 = 0.
-2, 0, 1
Let r(y) be the first derivative of 0*y - 1/6*y**4 + 1 + 1/30*y**5 + 1/3*y**3 + 1/2*y**2. Let j(v) be the second derivative of r(v). Factor j(l).
2*(l - 1)**2
Let p be (-18)/3 + 2 + 2. Let o be p/(-4)*14/21. Factor 0 - o*n**3 + 1/3*n - 1/3*n**2 + 1/3*n**4.
n*(n - 1)**2*(n + 1)/3
Factor -38*w**2 - 36*w**2 + 20 + 69*w**2 - 15*w.
-5*(w - 1)*(w + 4)
Let p(v) be the third derivative of -1/18*v**4 - 1/45*v**5 + 1/1008*v**8 + 0*v + 3*v**2 + 0*v**3 + 2/315*v**7 + 1/120*v**6 + 0. Factor p(i).
i*(i - 1)*(i + 1)*(i + 2)**2/3
Determine c so that -10 + 6*c**3 - 12*c + 2*c**2 + 2 - 8*c**2 - 7*c**3 = 0.
-2
Suppose f = 2*f - 5. Suppose 5*u + 2*l = 14, u + 2*u - 3*l = 0. Factor 3 + f*v**3 - 3 + u*v**2 - 3*v**3.
2*v**2*(v + 1)
Factor 22*c + 5*c**2 - 7*c + 10 + 0*c.
5*(c + 1)*(c + 2)
Factor 101*c - 2*c**2 - 105*c + 24 - 2*c**2.
-4*(c - 2)*(c + 3)
Let c(o) be the second derivative of 7/30*o**6 - 1/4*o**5 + 4*o - 1/14*o**7 + 0*o**2 + 1/12*o**4 + 0 + 0*o**3. Let c(r) = 0. Calculate r.
0, 1/3, 1
Let i(w) be the third derivative of 1/1260*w**6 + 0 + 0*w**5 + 0*w**4 + 1/3*w**3 + 0*w - 2*w**2. Let d(u) be the first derivative of i(u). Factor d(c).
2*c**2/7
Let k(a) be the second derivative of 0 - 2*a - 1/135*a**6 - 1/9*a**2 - 1/9*a**4 + 4/27*a**3 + 2/45*a**5. Factor k(h).
-2*(h - 1)**4/9
Suppose 4*l + 11 = 2*l + 5*c, 2*c = 3*l. Factor -2*o + 14*o**l - 4*o + 7*o**2.
3*o*(7*o - 2)
Let t(q) be the second derivative of -8/9*q**3 - 2/9*q**4 + 0*q**2 + 1/45*q**6 + 0 + 1/15*q**5 - 10*q. Find a, given that t(a) = 0.
-2, 0, 2
Let q(g) = g - 5. Let y be q(10). Suppose -y*f + 7 + 3 = 0. Determine t, given that 7/3*t - 2/3 + 4/3*t**f = 0.
-2, 1/4
Let v = -6 - -8. Let x(a) be the second derivative of -1/168*a**7 + 1/8*a**v + 1/8*a**3 - 1/40*a**5 + 2*a - 1/40*a**6 + 0 + 1/24*a**4. Factor x(c).
-(c - 1)*(c + 1)**4/4
Let s = 1/35 - -62/35. Let i(k) be the first derivative of 0*k + s*k**5 - k**2 + 0*k**4 - 1 - 7/3*k**3. Factor i(v).
v*(v - 1)*(3*v + 1)*(3*v + 2)
Factor 2/3*i + 2/3*i**2 - 4/3.
2*(i - 1)*(i + 2)/3
Let h(g) be the second derivative of 2*g**6/15 + 4*g**5/5 + 2*g**4 + 8*g**3/3 + 2*g**2 - 38*g. Suppose h(v) = 0. Calculate v.
-1
Suppose -20*c**2 - 51*c**4 + 180*c**3 + 59*c**2 - 30*c + 3 + 159*c**4 = 0. What is c?
-1, 1/6
Let s(k) be the second derivative of -k**7/3360 + k**6/1440 + k**5/240 - k**3/6 - 4*k. Let l(p) be the second derivative of s(p). Determine n so that l(n) = 0.
-1, 0, 2
Let d(c) be the third derivative of c**9/2160 + c**8/3360 + c**4/12 - c**2. Let o(x) be the second derivative of d(x). Factor o(j).
j**3*(7*j + 2)
Let i(u) be the second derivative of u**6/15 - 3*u**5/10 + u**4/6 + u**3 - 2*u**2 + 6*u. Factor i(b).
2*(b - 2)*(b - 1)**2*(b + 1)
Let h(l) = -23*l**5 - 41*l**4 - 20*l**3 + 4*l. Let f(z) = -z**5 - z**4 - z**3 - z**2 - z. Let d(c) = 12*f(c) + 3*h(c). Factor d(i).
-3*i**2*(3*i + 1)*(3*i + 2)**2
Let l(a) = -a**3 - 4*a**2 - 7*a - 6. Let p(r) = r - 3*r - r**2 - 1 + r. Let t(h) = l(h) - 6*p(h). Suppose t(w) = 0. What is w?
0, 1
Let p(f) be the third derivative of 5*f**8/1176 + 8*f**7/735 + f**6/420 - f**5/105 - 12*f**2. Solve p(k) = 0.
-1, 0, 2/5
Let l be (-4)/(-30)*255/102. Find s, given that 0 + l*s**2 + 0*s = 0.
0
Suppose -2*g + 4 = -2. Let l be (3 + -2)*(1 + -1). Factor l*w**2 + 0*w + 1/3*w**g - 1/3*w**4 + 0.
-w**3*(w - 1)/3
Let q(u) = u**3 - u + 480. Let t be q(0). Let w = 2409/5 - t. Let w - 6/5*m + 1/5*m**2 = 0. Calculate m.
3
Let -3*h**3 + 9/2 + 3/2*h**4 + 3*h - 6*h**2 = 0. What is h?
-1, 1, 3
Let z be 18/(-30) - 52/(-70). Solve -1/7*l**5 - 2/7*l**2 + 0*l**3 + 2/7*l**4 + z*l + 0 = 0 for l.
-1, 0, 1
Let q(n) be the second derivative of 3*n**5/80 - n**4/8 - 3*n**3/8 - 7*n. Factor q(y).
3*y*(y - 3)*(y + 1)/4
Let v(r) = -8*r**3 - 8*r**2 + 6. Let j(k) = -k**3 - k**2 + 1. Let i(u) = 6*j(u) - v(u). Factor i(q).
2*q**2*(q + 1)
Let s(n) be the third derivative of -n**8/84 + 4*n**7/105 - 2*n**5/15 + n**4/6 - 38*n**2. Determine y, given that s(y) = 0.
-1, 0, 1
Let a(z) be the third derivative of 3*z**6/40 + 7*z**5/20 + z**4/4 + 2*z**2. Factor a(s).
3*s*(s + 2)*(3*s + 1)
Let l(x) be the third derivative of -x**7/70 + x**6/10 - x**5/10 - x**4/2 + 3*x**3/2 - 7*x**2. Find d such that l(d) = 0.
-1, 1, 3
Let m = 47 - 19. Suppose 2*d + 4*p = 22, -6*d + 2*d = 4*p - m. Factor 0*i**3 + i**4 + 1 + 4*i**3 - i**5 - 2*i**2 - 2*i**d - i.
-(i - 1)**3*(i + 1)**2
Let a = 120 + -116. Let z(d) be the third derivative of 1/84*d**6 + 0 - a*d**2 + 0*d - 4/21*d**3 - 1/7*d**4 - 1/70*d**5. Determine j, given that z(j) = 0.
-1, -2/5, 2
Let b(y) = 6*y**2 - 24*y + 24. Suppose 13 = -l + 7. Let u(n) = n**2 - 4*n + 4. Let k(v) = l*b(v) + 39*u(v). Find s, given that k(s) = 0.
2
Let x(b) be the third derivative of -b**7/105 - b**6/10 + b**5/30 + b**4/2 + 20*b**2. Factor x(s).
-2*s*(s - 1)*(s + 1)*(s + 6)
Let h(o) = -3*o**3 + 3*o**2 - 16*o + 9. Let w(l) = 2*l**3 - 2*l**2 + 16*l - 10. Let s(v) = -6*h(v) - 7*w(v). Factor s(m).
4*(m - 2)*(m - 1)*(m + 2)
Let z(j) be the third derivative of 0*j**4 + 0*j + 0*j**3 - j**2 + 0 - 1/100*j**5. What is y in z(y) = 0?
0
Let t(u) be the third derivative of -u**6/200 + u**5/40 - u**4/20 - 3*u**3/2 + u**2. Let d(q) be the first derivative of t(q). Factor d(j).
-3*(j - 1)*(3*j - 2)/5
Let q = 490/531 - 2/59. Factor -q + 32/9*z + 38/9*z**3 + 2/9*z**5 - 14/9*z**4 - 50/9*z**2.
2*(z - 2)**2*(z - 1)**3/9
Let q = -11 + 15. Find p such that -p**q - 173*p + p**2 + 173*p = 0.
-1, 0, 1
Suppose -4*v + 19 = 7. Let 3*q**v - q**3 - q - 2*q**5 + q**5 + 0*q = 0. Calculate q.
-1, 0, 1
Suppose -205 + 185 = -5*y. Factor 2/9*a**5 + 8/9*a - 2/3*a**3 + 4/9*a**y + 0 - 8/9*a**2.
2*a*(a - 1)**2*(a + 2)**2/9
Let z(u) be the third derivative of u**7/210 - u**6/60 - u**5/60 + u**4/12 - 17*u**2 - 1. What is f in z(f) = 0?
-1, 0, 1, 2
Let i = -6039/7 - -863. Determine h, given that 0*h**4 + 0*h**2 + 0 - i*h**5 - 2/7*h + 4/7*h**3 = 0.
-1, 0, 1
Let x(w) = -5*w**3 - w**2 + w. Let t(q) = -26*q**3 - 4*q**2 + 6*q. Let h(y) = -3*t(y) + 16*x(y). Suppose h(g) = 0. Calculate g.
-1, 0
Let l(o) be the second derivative of o**8/10080 - o**6/360 + o**5/90 - 2*o**4/3 - 8*o. Let p(t) be the third derivative of l(t). Solve p(u) = 0 for u.
-2, 1
Let a = 11 - 8. Factor -51*o**2 - 16 - 4*o**4 - o**2 + 35*o**3 + 48*o - 11*o**a.
-4*(o - 2)**2*(o - 1)**2
Factor 2/5*y**2 - 8/5*y + 6/5.
2*(y - 3)*(y - 1)/5
Let v(g) be the first derivative of 3*g**5/5 + g**4/2 - 72. Factor v(c).
c**3*(3*c + 2)
Let l = 3208/9 + -356. Let b(d) be the first derivative of 0*d + 1/6*d**4 + 1/3*d**2 + l*d**3 - 3. Find g such that b(g) = 0.
-1, 0
Let w(z) = -2*z. Let s be w(3). Let i be (-21)/s + (-3)/6. Factor 0 - 2/9*a**2 - 2/9*a**4 + 4/9*a**i + 0*a.
-2*a**2*(a - 1)**2/9
Suppose 3*v + 4*v - 35 = 0. Factor 0*a**2 + 0 - 4/3*a**4 + 2/3*a**3 + 0*a + 2/3*a**v.
2*a**3*(a - 1)**2/3
Let t = -6 - -4. Let c = 4 + t. Factor -4*k**2 + 2*k**c + k**2.
-k**2
Let p(a) be the third derivative of -a**7/210 + a**5/10 - a**4/3 + a**3/2 - 22*a**2. Factor p(z).
-(z - 1)**3*(z + 3)
Let g(o) = o**3 + 5*o**2 - 5*o + 8. Let b be g(-6). What is h in h**2 + 2*h**3 - 2*h**2 + h**4 + b*h**2 = 0?
-1, 0
What is t in 4/9*t**2 + 2/