k + 11. Let c(u) = -14*u**3 + 7*u**3 - 10 + 6*u**3 - 2*u**3 - 8*u**2 - 10*u. Let t(p) = 2*b(p) + 3*c(p). Factor t(i).
-(i + 2)**3
Let m be ((-6)/9)/((-7)/21). Let 1/2*x**m + 7/2*x**4 + 5/4*x**5 + 3*x**3 - 1/4*x + 0 = 0. What is x?
-1, 0, 1/5
Let n = 1/23 + 19/92. Determine o, given that n*o - 1/4*o**4 - 1/4 + 1/2*o**2 + 1/4*o**5 - 1/2*o**3 = 0.
-1, 1
Let t be 0 + 12 + -17 - 32/(-6). Factor -1/6*n**4 + t*n**2 + 1/6*n**5 - 1/6 - 1/3*n**3 + 1/6*n.
(n - 1)**3*(n + 1)**2/6
Let d(l) be the second derivative of l**7/378 + l**6/270 - l**5/90 + 2*l. Factor d(u).
u**3*(u - 1)*(u + 2)/9
Let h be (-1)/(132/39 - 3) + 3. Let c be 2/(-1) + 14/5. Let -6/5*x + c + h*x**2 = 0. Calculate x.
1, 2
Suppose -14 = -2*c + 2*n, 4*c + n = -0*n + 13. Factor -9*k + 14*k**3 + k - c*k**2 - 6*k**3 + 4*k**4.
4*k*(k - 1)*(k + 1)*(k + 2)
Let i = 326 + -326. Factor i*w**2 + 2/7*w - 2/7*w**3 + 0.
-2*w*(w - 1)*(w + 1)/7
Let i(s) be the second derivative of -s**4/24 - 2*s**3/3 - 4*s**2 - 14*s. Determine l so that i(l) = 0.
-4
Let a be 8/3 + 4/(-6). Let w(o) = -o**5 - 3*o**4 + 2*o**3 + 4*o**2 + o - 1. Let i(q) = q**4 - q**2 - q. Let n = -1 + 2. Let c(k) = a*i(k) + n*w(k). Factor c(j).
-(j - 1)**2*(j + 1)**3
Let q(v) = v**2 - 17*v + 20. Let z be q(16). Suppose -2*t + 8 = 4*p, 5 = z*t - 3*p - 0*p. Factor 0 + 0*k - 2/5*k**t + 0*k**3 + 2/5*k**4.
2*k**2*(k - 1)*(k + 1)/5
Suppose 0 = 3*u - 13 - 2. Suppose -p = -3*w - 10, -20*p = -17*p - w - 6. Let 3*h**4 - 9/2*h - 1/2*h**u + 8*h**2 - 7*h**3 + p = 0. Calculate h.
1, 2
Suppose 25 = 3*o - 14. Suppose -6*b**5 + 8*b**4 + 18*b**3 + 2*b + o*b**2 - 14*b**5 - 21*b**4 = 0. Calculate b.
-1, -2/5, -1/4, 0, 1
Let w be 1*6/(-18) + (-1)/(-3). Let 0*i**3 + 1/2*i**2 + w*i + 0 - 1/2*i**4 = 0. What is i?
-1, 0, 1
Let p(v) be the third derivative of -v**4/24 - v**3/2 + v**2. Let o be p(-5). Factor -4*c**4 - c**o + 2*c**4 - 2*c**3 + 2*c + 3*c**2.
-2*c*(c - 1)*(c + 1)**2
Let h be (-2)/3*-3*1. Suppose -4*r - 2*u = -10, 0 = h*r + 3*r - 5*u - 35. Let 3 + v + 2*v**5 + 0*v**5 + r*v**2 + v - 4*v**3 - 5 - 2*v**4 = 0. What is v?
-1, 1
Let c be (0*1/(-2))/(-1). Find y such that c*y**2 + 0*y - 6/7*y**5 + 0 - 4/7*y**4 + 2/7*y**3 = 0.
-1, 0, 1/3
Let a = 321385 - 2888168/9. Let h = -477 + a. Factor 10/9*j**4 + 0*j**2 + h*j**3 + 0*j + 0.
2*j**3*(5*j + 2)/9
Let z be 112/14 + 8/(-2). Factor 3/4 + 0*a + 3/4*a**z + 0*a**3 - 3/2*a**2.
3*(a - 1)**2*(a + 1)**2/4
Let r(s) be the second derivative of 3*s**5/80 + s**4/4 + 5*s**3/8 + 3*s**2/4 + 6*s. Factor r(j).
3*(j + 1)**2*(j + 2)/4
Let j = 29/2 + -14. Let u be -2 + 2 + (-2)/(-1). Solve 0 + 1/2*z + j*z**u = 0.
-1, 0
Let y(m) be the first derivative of -2*m**5/45 - m**4/18 + 4*m**3/27 - 2. Factor y(j).
-2*j**2*(j - 1)*(j + 2)/9
Factor 8/3 - 20/3*v + 1/3*v**4 + 6*v**2 - 7/3*v**3.
(v - 2)**3*(v - 1)/3
Suppose -3*g - 3*u + 5*u = -58, u = -2*g + 41. Suppose -g = -0*z - 5*z. Determine c, given that 7*c - 3*c**2 + 4 - 4 - z*c = 0.
0, 1
Let l(w) = -5*w + 2 + 2*w + 4*w - 4*w**2 + w**3. Let d(u) = -5*u**3 + 17*u**2 - 3*u - 9. Let k(n) = 4*d(n) + 18*l(n). Suppose k(h) = 0. Calculate h.
-3, 0, 1
Let f be (-15)/30*2/(-3). Let n(p) be the third derivative of 1/4*p**4 + 0 + 1/10*p**5 - p**2 + 1/60*p**6 + 0*p + f*p**3. Find a, given that n(a) = 0.
-1
Find f such that -3/4 + 3/4*f**2 + 3/4*f - 3/4*f**3 = 0.
-1, 1
Let w(h) = h**2 + 3 + 2*h**3 - 3*h**3 - h - 4. Let c be w(-1). Find v, given that v**4 + 7*v**c - 8 + 13*v - 17*v + 5*v**3 - v**2 = 0.
-2, 1
Let v(s) be the second derivative of -s**6/12 + 13*s**5/40 - s**4/6 - s**3/3 + 6*s. Determine b, given that v(b) = 0.
-2/5, 0, 1, 2
Let u(i) be the third derivative of -i**8/312 - 3*i**7/455 + i**6/65 + 2*i**5/195 - 21*i**2. Let u(m) = 0. What is m?
-2, -2/7, 0, 1
Determine r so that 1/12*r**2 + 3 + r = 0.
-6
Let m(d) = d**3 + 7*d**2 - 7*d + 10. Let t be m(-8). Suppose 4*z = 2*z. Factor 0*f**t + z + 0*f - 1/2*f**3.
-f**3/2
Suppose 6*z - 15*z = -18. Let t(j) be the second derivative of 3*j + 1/12*j**3 + 1/48*j**4 + 0 + 0*j**z - 1/120*j**6 + 1/168*j**7 - 3/80*j**5. Factor t(p).
p*(p - 2)*(p - 1)*(p + 1)**2/4
Suppose -3*g - 2*f - 8 = 0, -4*g + 16*f = 20*f + 16. Factor -2*p**2 + g*p + 2/3*p**3 + 8/3.
2*(p - 2)**2*(p + 1)/3
Let g(i) be the third derivative of -i**5/60 - i**4/6 - 11*i**2. Factor g(v).
-v*(v + 4)
Let t(h) be the second derivative of -1/18*h**4 - 4*h - 1/60*h**5 + 0*h**3 + 0 + 0*h**2. Factor t(c).
-c**2*(c + 2)/3
Let d be (-3 - (-5)/2) + (-57)/(-18). Let 2/3*c**5 - 20/3*c**2 + 2/3*c**3 + 16/3 - d*c + 8/3*c**4 = 0. What is c?
-2, 1
Let -36/7*p - 1/7*p**2 - 324/7 = 0. Calculate p.
-18
Let g(y) = 14*y**4 - 5*y**3 - 2*y**2 - 2*y + 9. Let a(d) = d**4 + 2 - d + 4 - 2 - 3 + d**2. Let x(h) = -14*a(h) + 2*g(h). Solve x(l) = 0.
-1, -2/7, 1
Let g be (-11)/4 - (-2)/(-8). Let b be g/((-9)/4)*6. Factor b*h**3 - 3*h + 0*h**2 - 6*h**4 - 2*h**2 + 3*h.
-2*h**2*(h - 1)*(3*h - 1)
Suppose -1 + 21 = 4*t. Factor 6*a**t - 2*a**3 + a - 4*a**5 - a**5.
a*(a - 1)**2*(a + 1)**2
Factor -v - 3*v + 0*v**2 - v**2 - v**2.
-2*v*(v + 2)
Suppose 11 = 4*u + 3*c, -3*u + 3*c = 5*c - 8. Factor -u*w**2 + 6*w - 316 + 316.
-2*w*(w - 3)
Let l(a) be the first derivative of 2 - 2/11*a - 2/11*a**2 - 2/33*a**3. Let l(q) = 0. Calculate q.
-1
Let r(l) be the second derivative of l**4/18 - 4*l**3/9 + l**2 + 20*l. Factor r(f).
2*(f - 3)*(f - 1)/3
Let q(v) = 0*v**2 + 4*v**4 + 2*v**2 - 2*v**4 + 4 + 2*v - 2*v**3. Let i(s) = -4*s**4 + 4*s**3 - 3*s**2 - 4*s - 7. Let x(a) = -4*i(a) - 7*q(a). Factor x(w).
2*w*(w - 1)**2*(w + 1)
Let x(g) be the first derivative of 2*g**6/3 - 12*g**5/5 + 2*g**4 + 8*g**3/3 - 6*g**2 + 4*g - 10. Find j such that x(j) = 0.
-1, 1
Let d(x) be the third derivative of -x**5/20 + x**4/4 - x**3/2 - 3*x**2. Find z, given that d(z) = 0.
1
Let f(j) be the first derivative of 3/8*j**4 + 3/4*j + 2 - 1/4*j**3 - 3/4*j**2. Solve f(h) = 0.
-1, 1/2, 1
Let h(j) be the second derivative of -j**4/24 - 2*j**3/3 - 4*j**2 - 5*j. Factor h(u).
-(u + 4)**2/2
Factor 14*o**5 - 29*o**5 + 10*o**5 - 6*o**3 + 15*o**4 - 4*o**3.
-5*o**3*(o - 2)*(o - 1)
Suppose 4*u = -f - 246, -f + 2*f - u + 231 = 0. Let c = 943/4 + f. Factor -1/2 - 5/4*o**2 - c*o.
-(o + 1)*(5*o + 2)/4
Let l(g) = g**2 + 9*g + 8. Let m(k) = -3*k**2 - 28*k - 25. Let r(h) = -21*l(h) - 6*m(h). Determine q so that r(q) = 0.
-6, -1
Let i(d) = 3*d**3 + d - 4. Let n(u) = 5*u**3 + 2*u - 7. Suppose 0 = 5*y - 9 - 26. Let j(k) = y*i(k) - 4*n(k). Factor j(m).
m*(m - 1)*(m + 1)
Let i(s) = 2*s - 6. Let x be i(4). Factor -2*w**x + 0*w**2 + w**3 + w**2.
w**2*(w - 1)
Let p(g) be the first derivative of -2/21*g**3 + 0*g - 3 - 2/35*g**5 + 0*g**2 - 1/7*g**4. Suppose p(b) = 0. What is b?
-1, 0
Let s(d) = 2*d**2 + 4*d + 2. Let i be s(-2). Suppose 0 = 3*x - 2*x - 3. What is j in -j + 2 - i*j**2 - j + 0*j + 2*j**x = 0?
-1, 1
Let p(m) = -18*m**4 - 7*m**3 + 23*m**2 + 7*m - 5. Let h(u) = -17*u**4 - 8*u**3 + 22*u**2 + 8*u - 5. Let a(n) = -3*h(n) + 2*p(n). What is g in a(g) = 0?
-1, 1/3, 1
Determine n so that -21*n**4 + 6*n**2 + 8*n**3 - 18*n + 5*n**2 + 20*n = 0.
-1/3, -2/7, 0, 1
Let c = 12 - 5. Let k(i) be the third derivative of 0*i - 1/24*i**8 + 0*i**5 + 2*i**2 + 0 + 1/30*i**6 - 1/21*i**c + 0*i**4 + 0*i**3. Factor k(o).
-2*o**3*(o + 1)*(7*o - 2)
Let n(q) be the third derivative of -q**8/2520 - q**7/315 - q**6/90 - q**5/45 - q**4/36 - q**3/45 + 5*q**2. Find p, given that n(p) = 0.
-1
Factor 0 - 5/3*l**3 + 4/3*l**4 - 1/3*l**5 + 2/3*l**2 + 0*l.
-l**2*(l - 2)*(l - 1)**2/3
Suppose 2*v - 9 = -4*r + 3*r, 3*r - 7 = 4*v. Let 5/4*w**3 + 1/2*w**v + 0 + 0*w + 3/4*w**4 = 0. What is w?
-1, -2/3, 0
Suppose 26 = 2*i + 4*n - 8*n, 3*n = -5*i + 78. Let x = 17 - i. Let -2/7*y**5 + 2/7*y**4 + 0 + 6/7*y**3 + 4/7*y - 10/7*y**x = 0. What is y?
-2, 0, 1
Let b be -8*((4 - 16/3) + 1). Solve -8/3*l - b - 2/3*l**2 = 0 for l.
-2
Let r(s) = -s**2 + 5*s - 2. Let x be r(3). Factor 5*b**2 - b**x + b**5 + b**3 - 4*b**2 - b**3 - b**3.
b**2*(b - 1)**2*(b + 1)
Let l(f) be the second derivative of f**6/10 - 3*f**4/4 - f**3 + 3*f. Factor l(m).
3*m*(m - 2)*(m + 1)**2
Let 6/7 + 3/7*g**2 - 9/7*g = 0. What is g?
1, 2
Factor -18/7*h**2 + 8/7 - 2*h**3 + 24/7*h.
-2*(h - 1)*(h + 2)*(7*h + 2)/7
Let h(b) = 6*b. Let a(r) = r**3 + 11*r**2 + 9*r - 5. Let s be a(-10). Let d(i) = i**2 + 12*i. Let o(k) = s*h(k) - 3*d(k). Factor o(q).
-3*q*(q + 2)
Determine g so that -