1)*(c + 2)
Let w be ((-6)/(-9))/(48/18) - 0. Let -w*p**2 + 3/4 + 1/2*p = 0. Calculate p.
-1, 3
Let v(p) = -p**2 + 6*p + 3. Let j be v(6). Factor 0*g**3 + 5*g**3 + 2*g - 7*g**j.
-2*g*(g - 1)*(g + 1)
Let x be -2 - (-4 + 6)*-1. Let l(k) be the second derivative of -k - 1/8*k**2 + x*k**3 + 0 + 1/48*k**4. Solve l(g) = 0 for g.
-1, 1
Let z(o) = -5*o**2 - 3. Let n = 41 - 28. Suppose 7 + n = 5*c. Let l(u) = -6*u**2 - 4. Let q(w) = c*l(w) - 5*z(w). Solve q(v) = 0.
-1, 1
Let c be 12/105 - 10/(-35). Let g be (-65)/50 + 3/2. Suppose -4/5*k**3 + 2/5*k**5 - g + c*k**2 - 1/5*k**4 + 2/5*k = 0. Calculate k.
-1, 1/2, 1
Let y = 5 - 5. Let 0 - 24*w**3 + 10*w**2 + 8*w**5 + 4*w + 2*w**4 + y = 0. What is w?
-2, -1/4, 0, 1
Suppose 0 = 3*d - 2 - 10. Suppose -4*x - d = -j, -8 = 2*x - 5*j + 12. Factor -2*v**3 - 1/2*v**2 + x*v + 0.
-v**2*(4*v + 1)/2
Find f, given that 8*f**3 - 6*f + 2 + 297*f**5 - 299*f**5 - 4*f**2 + 2 = 0.
-2, -1, 1
Let g = 242/3 - 80. Suppose -4/3*p - g*p**2 - 2/3 = 0. What is p?
-1
Let y be 15/(-25)*(-10)/18. Let -y*g**3 + g**2 + 1/3*g - 2/3 - 1/3*g**4 = 0. Calculate g.
-2, -1, 1
Suppose 0 + 5/4*y**2 + 3/2*y + 1/4*y**3 = 0. Calculate y.
-3, -2, 0
Let v(w) = -5*w**2 - 3*w. Let t(o) = -4*o**2 - 2*o. Let h(a) = 6*t(a) - 5*v(a). Factor h(n).
n*(n + 3)
Let l = -408 - -817/2. Suppose -3*f - 5*s = -17, -3*s - 23 = -5*f - 6*s. Factor 3*v**2 + l*v**f - 2*v**3 + 1/2 - 2*v.
(v - 1)**4/2
Let j be (2/6)/(-5 + (-155)/(-30)). What is w in 6/5*w - 3/5 - 3/5*w**j = 0?
1
Let y(l) = -3*l**3 - 9. Let h(a) = a**2 - 1. Let d(q) = 9*h(q) - y(q). What is t in d(t) = 0?
-3, 0
Let r be (-33 + 34)*8/6. Suppose -14/3*k + r - 80/3*k**2 + 96*k**3 = 0. What is k?
-2/9, 1/4
Suppose -5*w + 16 = 3*s, 2 = 3*s - 2*w - 0. Factor 9*p**4 - p + 20*p**2 + 7*p + 24*p**3 + 3*p**s - 2*p**2.
3*p*(p + 1)**2*(3*p + 2)
Let i(g) be the first derivative of 1/2*g**2 + 1/6*g**3 - 3 + 1/2*g. Solve i(s) = 0 for s.
-1
Let u = 1323/1640 - 30/41. Let l(h) be the second derivative of u*h**5 + 0*h**2 + 1/40*h**6 + 0 - 1/4*h**3 + 2*h - 1/16*h**4. Factor l(a).
3*a*(a - 1)*(a + 1)*(a + 2)/4
Factor -3/8*k + 3/2*k**2 - 7/8*k**3 - 1/4.
-(k - 1)**2*(7*k + 2)/8
Let v be (-8)/(-10) + 2/(-10). Let g = -35 + 38. Factor 0 + 3/5*n**4 - v*n**g - 3/5*n**2 + 3/5*n.
3*n*(n - 1)**2*(n + 1)/5
Suppose -g = -2*z + 9, 19 = 5*z + 3*g - 2*g. Let d = 13/14 - 3/7. Solve -1/4*r**5 - d*r**2 + 1/4*r**z + 1/4 - 1/4*r + 1/2*r**3 = 0 for r.
-1, 1
Let r(x) be the second derivative of x**6/540 + x**5/90 - x**3/6 - 3*x. Let m(o) be the second derivative of r(o). Suppose m(y) = 0. What is y?
-2, 0
Let g(l) be the second derivative of -l**6/30 - l**5/20 + l**4/4 + l**3/6 - l**2 + 6*l. Factor g(s).
-(s - 1)**2*(s + 1)*(s + 2)
Let q(h) be the second derivative of h**5/20 - h**4/4 - h**3/6 + 3*h**2/2 - 8*h. Factor q(w).
(w - 3)*(w - 1)*(w + 1)
Let b = -1/9 - -23/45. Factor 0*p + 0 - 4/5*p**3 - b*p**4 - 2/5*p**2.
-2*p**2*(p + 1)**2/5
Factor 27/7 + 36/7*m + 12/7*m**2.
3*(2*m + 3)**2/7
Let i(c) = c - 34. Let r be i(36). What is l in 32/5*l + 2*l**3 - 34/5*l**r - 8/5 = 0?
2/5, 1, 2
Let c(a) = -2*a**4 + 3*a**3 + 5*a**2 - 9*a. Let u(q) = -q**4 + q**3 + q**2 - q. Let h(o) = -c(o) + u(o). Factor h(g).
g*(g - 2)**2*(g + 2)
Let z = 39 + -11. Let j = z - 139/5. Let 0*g + 0 + 1/5*g**4 - 1/5*g**2 + j*g**5 - 1/5*g**3 = 0. Calculate g.
-1, 0, 1
Let c(f) = -7*f**3 - 8*f**2 + 7*f + 2. Let q(r) = -r**3 - r**2 + r. Let b(a) = a**2 - 6*a - 10. Let l be b(8). Let i(k) = l*q(k) - c(k). Factor i(o).
(o - 1)*(o + 1)*(o + 2)
Let r(y) be the second derivative of 0 - 1/12*y**3 + y**2 + 1/96*y**4 + 1/240*y**5 - y. Let h(z) be the first derivative of r(z). Determine p so that h(p) = 0.
-2, 1
Let t be (-18*((-42)/(-12) - 4))/3. Factor 0 + 2/9*l**t + 4/9*l + 2/3*l**2.
2*l*(l + 1)*(l + 2)/9
Let k(c) be the first derivative of -c**7/105 - c**6/60 + c**5/30 + c**4/12 + c**2/2 - 3. Let x(s) be the second derivative of k(s). Let x(d) = 0. Calculate d.
-1, 0, 1
Let p(m) be the second derivative of 2*m**7/105 + 2*m**6/75 + 7*m. Factor p(l).
4*l**4*(l + 1)/5
Let o(x) be the third derivative of -x**7/1575 + x**5/225 - x**3/45 + 19*x**2. Factor o(i).
-2*(i - 1)**2*(i + 1)**2/15
Factor 1/9 - 1/9*r**2 + 1/9*r**3 - 1/9*r.
(r - 1)**2*(r + 1)/9
Let w(v) be the first derivative of 2*v**6/3 + 2*v**5/5 - 15*v**4/16 - 2*v**3/3 - v**2/8 - 7. Solve w(g) = 0.
-1, -1/4, 0, 1
Let y(v) be the first derivative of -3 - 1/4*v**3 + 1/2*v**2 + 1/24*v**4 - v. Let b(q) be the first derivative of y(q). Let b(d) = 0. What is d?
1, 2
Let n(g) = -7*g - 16. Let p be n(-4). Suppose 0 = -9*k + p*k. Solve -3*i**5 + 0 - 4/5*i**4 + k*i + 0*i**2 + 4/5*i**3 = 0.
-2/3, 0, 2/5
Let w(l) be the second derivative of l**6/75 - l**5/50 - l**4/10 + l**3/15 + 2*l**2/5 - l. Factor w(t).
2*(t - 2)*(t - 1)*(t + 1)**2/5
Let r(a) = -a**3 + 11*a**2 + 2. Let z be r(11). Let 10*n**2 + 0*n - 2*n - 1 + 0*n - 11*n**z = 0. Calculate n.
-1
Determine b, given that 2*b**4 - 3*b**4 + 2*b**2 - 3*b**3 + 2 + 3*b - 3*b**2 = 0.
-2, -1, 1
Let q(i) be the second derivative of -i**4/3 + 2*i**2 + i. Factor q(r).
-4*(r - 1)*(r + 1)
Let b be 6/(-14)*(-2)/3. Let l be 369/82*4/21. Factor 2/7*g**4 + 6/7*g**2 - l*g**3 + 0 - b*g.
2*g*(g - 1)**3/7
Let v(r) be the second derivative of -r**7/126 + r**6/45 - r**5/60 - r. Factor v(u).
-u**3*(u - 1)**2/3
Let b(k) = -9*k**2 - 16*k - 12. Let h(y) = 5*y**2 + 8*y + 6. Let u(f) = -3*b(f) - 5*h(f). Determine p so that u(p) = 0.
-3, -1
Let i(o) be the second derivative of 3*o**5/20 - 9*o**4/4 + 27*o**3/2 - 81*o**2/2 + 17*o. Solve i(b) = 0.
3
Suppose 2*z = 8*z + 18. Let w be -8 + 5 - (z + -2). Factor -4/3 + 14/3*p - w*p**2.
-2*(p - 2)*(3*p - 1)/3
Let k(j) be the second derivative of -j**7/42 + j**6/5 - 11*j**5/20 + j**4/6 + 2*j**3 - 4*j**2 + 22*j. Factor k(g).
-(g - 2)**3*(g - 1)*(g + 1)
Let z = 1595 - 1593. Factor -8/11*j**z + 0 + 40/11*j**3 + 0*j - 50/11*j**4.
-2*j**2*(5*j - 2)**2/11
Let r(s) = -2*s**4 - 4*s**3 - 6*s**2 + 8*s + 4. Let k(f) = f**4 + 1. Let l(b) = -4*k(b) - r(b). Factor l(t).
-2*(t - 2)**2*(t + 1)**2
Let t(r) be the third derivative of -r**7/280 + r**6/80 + r**5/80 - r**4/16 + 3*r**2. Determine z so that t(z) = 0.
-1, 0, 1, 2
Let b(q) be the first derivative of q**6/33 - 9*q**4/22 + 8*q**3/33 + 12*q**2/11 - 25. Solve b(f) = 0.
-3, -1, 0, 2
Let b(d) be the second derivative of -4*d - 3/2*d**2 + 0 - 1/4*d**4 - d**3. What is f in b(f) = 0?
-1
Solve 3/5*m**4 + 3/5*m**3 + 0*m + 0 - 6/5*m**2 = 0 for m.
-2, 0, 1
Let l(u) be the second derivative of 5*u**4/3 + 14*u**3/3 - 12*u**2 + 7*u. Factor l(s).
4*(s + 2)*(5*s - 3)
Solve 11*y + 6 + 7*y - 6*y**2 - 2*y**3 + 6*y - 22*y = 0.
-3, -1, 1
Let f(t) be the second derivative of -1/40*t**5 + 0 - 3*t + 1/12*t**3 - 1/4*t**2 + 1/24*t**4. Factor f(x).
-(x - 1)**2*(x + 1)/2
Let r = -14 + 35. Let n(f) = -3*f**2 - 2*f - 4. Let j(o) = 10*o**2 + 5*o + 12. Let b(x) = r*n(x) + 6*j(x). Find t such that b(t) = 0.
-2
Let i be (1/(-3))/((-39)/(-33)). Let s = i + 85/117. Determine u so that 0*u - s*u**2 + 0 - 2/3*u**3 - 2/9*u**4 = 0.
-2, -1, 0
Let k(r) = -r + 4. Let u be k(4). Let z be (u + -1 - 2) + 8. Factor -z - 5*m**2 + 2*m + 2 + 3.
-m*(5*m - 2)
Determine a, given that -7/4*a**2 + 5/4*a - 1/4*a**3 + 75/4 = 0.
-5, 3
Suppose 16 = -54*k + 62*k. Factor 3/2*x + 1 + 1/2*x**k.
(x + 1)*(x + 2)/2
Let o = -9/127 + -126810/889. Let t = 143 + o. Determine l, given that 2/7 + 6/7*l**2 + 6/7*l + t*l**3 = 0.
-1
Let 6/11*y + 4/11 + 0*y**2 - 2/11*y**3 = 0. What is y?
-1, 2
Suppose -4 = -2*i + i + w, 5*w = 0. Factor 0 + 0*q + 1/4*q**i + 1/4*q**2 - 1/2*q**3.
q**2*(q - 1)**2/4
Determine t so that 2 + 9/2*t**2 - 13/2*t = 0.
4/9, 1
Let r(o) be the third derivative of o**8/28 + 13*o**7/70 + 3*o**6/8 + 7*o**5/20 + o**4/8 - 6*o**2. Factor r(g).
3*g*(g + 1)**3*(4*g + 1)
Let t = -66 - -69. Find i, given that 13/3*i**3 - 1/3*i - 5/3*i**4 + 2/3 - t*i**2 = 0.
-2/5, 1
Let q = 7 - 3. Suppose q*y = -3*w - 10, 8 = -w - 5*y - 10. Factor w + 12*u**2 - 5*u - 4*u - 3*u**3 - 2*u**3.
-(u - 1)**2*(5*u - 2)
Let j(i) be the third derivative of 0*i - 1/60*i**6 + 1/12*i**4 - 5*i**2 - 1/30*i**5 + 0 + 1/3*i**3. Factor j(g).
-2*(g - 1)*(g + 1)**2
Factor d + 1/2*d**2 - 3/2.
(d - 1)*(d + 3)/2
Suppose 2 = l - 0. Factor -1 + 0 + 1 + 1 - u**l.
-(u - 1)*(u + 1)
Suppose 0 = o - 2 - 0. Find d, given that 3*d - d**2 - d**3 - 3*d + o*d = 