**2/7 + 12*s/7 + 14. Solve c(j) = 0 for j.
-1, 1, 3
Let q be (-13)/(-52)*144/10. What is l in q*l - 18/5*l**3 - 16/5*l**2 - 4/5 + 4*l**4 = 0?
-1, 2/5, 1/2, 1
Let z be 3/(-14)*8/(-6). Find w, given that -4/7 - 4/7*w**4 - 4/7*w**3 + 8/7*w**2 + 2/7*w + z*w**5 = 0.
-1, 1, 2
Let b(s) be the third derivative of -s**9/241920 + s**7/20160 + s**5/30 - 5*s**2. Let c(g) be the third derivative of b(g). Solve c(j) = 0 for j.
-1, 0, 1
Let b(k) = k**3 - k**2 + 1. Let p(h) be the second derivative of -h**5/10 + h**4/6 - h**3/3 - 3*h**2/2 + 4*h. Let i(n) = 6*b(n) + 2*p(n). Factor i(x).
2*x*(x - 2)*(x + 1)
Factor 4/3*z**2 - 4/3 + 0*z.
4*(z - 1)*(z + 1)/3
Factor -13*k**2 - 32*k**2 - 19*k**4 + 5*k**5 + 75*k**3 - 16*k**4.
5*k**2*(k - 3)**2*(k - 1)
Let k(x) be the third derivative of 0*x + 0 + 1/6*x**4 + 1/60*x**5 + 2/3*x**3 + 3*x**2. Find n, given that k(n) = 0.
-2
Let t = -10 - -17. Suppose 3*f + 3*a - t*a + 12 = 0, 3 = -2*f + a. Suppose 3*b - 27*b**3 - 9*b**2 + f*b**2 - 4*b - 27*b**4 = 0. Calculate b.
-1/3, 0
Let u be 0*-7*(-6)/42. Find j, given that 0*j**3 - 1/2*j**4 + u*j - 1/2*j**5 + 0 + 0*j**2 = 0.
-1, 0
Let p(o) be the second derivative of -o**5/15 - o**4/9 + 4*o**3/9 + 16*o. Factor p(f).
-4*f*(f - 1)*(f + 2)/3
Let z(k) = -k - 7. Let b be z(-10). Find p such that 4*p**2 - 6*p**2 + 0*p**3 + 2*p**b = 0.
0, 1
Find c, given that 2/21*c**4 - 2/7*c**3 + 4/21*c**2 + 0*c + 0 = 0.
0, 1, 2
Let q = -8/21 + 2/3. Factor -q*n**2 - 2/7 - 4/7*n.
-2*(n + 1)**2/7
Let u be (8/10)/(16/40). Factor l**3 + 2*l**3 - 2*l**u + 4*l - 2*l**3 - 3*l**3.
-2*l*(l - 1)*(l + 2)
Let i(v) = 4*v**5 + 3*v**4 - 5*v**3 - 3*v**2 - 4*v. Let h(l) = 4*l**5 + 2*l**4 - 6*l**3 - 2*l**2 - 4*l. Let d(b) = -5*h(b) + 6*i(b). Let d(s) = 0. Calculate s.
-1, 0, 1
Let a be (-10)/150*10/(-28). Let i(z) be the second derivative of 0*z**3 - 3*z + 0 - 1/7*z**2 + a*z**4. Factor i(q).
2*(q - 1)*(q + 1)/7
Let x(j) be the second derivative of 4*j + 15/2*j**4 + 12*j**2 + 15/4*j**5 - 18*j**3 + 0. Let x(h) = 0. What is h?
-2, 2/5
Solve 0 + 2/7*w**2 + 2/7*w = 0.
-1, 0
Let m = -748 + 750. Suppose -1/8*c**m + 1/8*c + 1/4 = 0. What is c?
-1, 2
Let 2/7*z**3 + 16/7 + 2/7*z**2 - 20/7*z = 0. What is z?
-4, 1, 2
Let t(l) be the third derivative of 1/1470*l**7 + 0*l**6 - l**2 + 1/2352*l**8 + 0*l**3 + 0*l**5 + 0 + 0*l**4 + 0*l. Factor t(z).
z**4*(z + 1)/7
Let o(v) = -3*v**2 - 11 + 11*v + v + 2*v - 5*v**2. Let u = 11 - 6. Let n(d) = -9*d**2 + 15*d - 12. Let k(r) = u*n(r) - 6*o(r). Factor k(q).
3*(q - 2)*(q - 1)
Let x(v) be the second derivative of -7*v**6/270 + v**5/15 - v**4/36 - v**3/27 - 20*v. Suppose x(w) = 0. What is w?
-2/7, 0, 1
Let j(w) be the first derivative of 3*w**5/20 - 15*w**4/16 + 3*w**3/4 + 15*w**2/8 - 3*w - 31. Find f, given that j(f) = 0.
-1, 1, 4
Let z = 0 + 9. Suppose 3*a + 16 + z = 5*b, 4*a = -4*b - 12. Factor u + 3*u - 3*u**2 + 13*u**b.
2*u*(5*u + 2)
Let i(g) = -g**2 + 47*g - 44. Let a be i(46). Factor 0 + 2/5*z**3 - 6/5*z**a + 0*z.
2*z**2*(z - 3)/5
Let d(x) = -4*x - 30. Let p be d(-8). Factor -15/2*q - 9/2*q**p + 3/2*q**3 - 3 + 3/2*q**4.
3*(q - 2)*(q + 1)**3/2
Let b(m) = -5*m**2. Let y(p) = p. Let k be y(-2). Let c = 8 + k. Let z(h) = 6*h**2. Let q(f) = c*z(f) + 7*b(f). Factor q(u).
u**2
Factor 0 - 2*o**3 + 4/5*o - 6/5*o**2.
-2*o*(o + 1)*(5*o - 2)/5
Let a(b) be the second derivative of b**7/210 - 11*b**6/360 + b**5/12 - b**4/8 + b**3/9 - b**2/2 + 2*b. Let n(k) be the first derivative of a(k). Factor n(h).
(h - 1)**3*(3*h - 2)/3
Let q(t) be the second derivative of 2*t**6/5 - 4*t**5/5 - t**4/3 + 4*t**3/3 + t. Factor q(c).
4*c*(c - 1)**2*(3*c + 2)
Let t(d) be the first derivative of -d**6/1260 + d**5/140 - d**4/42 + d**3 + 2. Let f(u) be the third derivative of t(u). Find a such that f(a) = 0.
1, 2
Let t(c) be the second derivative of -c**7/35 - 2*c**6/75 + c**5/50 - 3*c + 4. Let t(k) = 0. What is k?
-1, 0, 1/3
Factor 6/5*j**3 - 22/5*j + 2*j**2 + 6/5.
2*(j - 1)*(j + 3)*(3*j - 1)/5
Let y be (-25)/10*(-119 + 1). Let o = y - 877/3. Factor -2/3*f**2 + o*f - 8/3.
-2*(f - 2)**2/3
Let 1/2*w**2 - 15*w + 225/2 = 0. Calculate w.
15
Let a be -2 - -4 - -6*1/2. Find g, given that 0 - 3/2*g**3 - 1/2*g**2 - 1/2*g**a + 0*g - 3/2*g**4 = 0.
-1, 0
Let s(n) be the second derivative of -n**6/30 - 3*n**5/10 - 3*n**4/4 - 2*n**3/3 + 7*n. Solve s(d) = 0 for d.
-4, -1, 0
Let v(k) = -26*k + 3. Let p be v(6). Let d = p + 1379/9. Find z such that 0 + d*z**2 - 2/9*z = 0.
0, 1
Factor 11*y - 11*y - 5*y**2.
-5*y**2
Let y(p) = p**2 + 3*p - 4. Let b be y(-5). Factor t**2 + t**2 - 9 - b*t - 3*t**2.
-(t + 3)**2
Let w(d) = -d**2 + 3*d + 2. Let g = 8 + -10. Let v(k) = k**2 - 4*k - 2. Let l(q) = g*v(q) - 3*w(q). What is r in l(r) = 0?
-1, 2
Let k be 8/(-6) + (-1 - -3). Let d = -4/17 + 46/51. Suppose -k*n**3 + 0*n + 4/9*n**4 + 0 - 4/9*n**2 + d*n**5 = 0. Calculate n.
-1, -2/3, 0, 1
Let f(u) be the third derivative of -1/105*u**7 + 0 + 1/3*u**4 - 1/10*u**5 - 7*u**2 - 1/15*u**6 + 4/3*u**3 + 0*u. Find x, given that f(x) = 0.
-2, -1, 1
Let t = -15 + 19. Suppose -5*v = -t - 11. Solve -11/4*o - 7/4*o**v - 4*o**2 - 1/2 = 0 for o.
-1, -2/7
Let v(r) be the second derivative of -r**6/75 - 3*r**5/25 - 3*r**4/10 + 4*r**3/15 + 12*r**2/5 + 49*r. Suppose v(w) = 0. What is w?
-3, -2, 1
Let s(o) = o**3 - 6*o**2 - 7*o + 2. Let k be s(7). Find y, given that -3/2*y**k - 1/4 - 1/4*y**4 + y + y**3 = 0.
1
Suppose -38 = -4*z + 6*z. Let j = z + 20. Factor j + 1/4*w**2 - w.
(w - 2)**2/4
Let k(w) = w**2 - w - 1. Let f(g) = 12*g**2 - 10*g - 10. Let v = -7 + 8. Let b(m) = v*f(m) - 10*k(m). Factor b(q).
2*q**2
Let v(z) be the third derivative of -z**7/1365 - z**6/195 - z**5/65 - z**4/39 - z**3/39 + 5*z**2. What is n in v(n) = 0?
-1
Let b = -23 - -12. Let x = b - -17. Find n, given that -n**2 - n**4 + x*n**2 - 4*n**2 = 0.
-1, 0, 1
Let l(n) be the first derivative of 3*n**4/4 - 2*n**3 + 3*n**2/2 - 4. Factor l(i).
3*i*(i - 1)**2
Let i(y) = y**2 - 15*y - 32. Let c be i(17). What is p in -1/4*p**c + 0 - 3/4*p = 0?
-3, 0
Suppose 1 - 11 = 5*u. Let m be 5 + -2 + 1 + u. Determine z so that -1/2*z**3 + 0 - 1/2*z**m + 0*z = 0.
-1, 0
Let u be 1 - -1*(-3 - -4). Let q = -2 + u. Factor q*a**2 + 0*a - 1/4*a**3 + 0.
-a**3/4
Let b be 8/2 + 5/(-2). Let c = -1/7 - -109/28. Solve 3*m**3 + b*m + 3/4*m**4 + 0 + c*m**2 = 0.
-2, -1, 0
Let l(y) be the second derivative of -y**7/840 - y**3/2 - 2*y. Let f(d) be the second derivative of l(d). Find x such that f(x) = 0.
0
Suppose -3 = -v - 2, -4*v + 8 = j. Suppose -j*z - 24 = -3*s + z, z = -3*s + 6. Factor -1/4*p + 0 - 1/2*p**2 - 1/4*p**s.
-p*(p + 1)**2/4
Let t = -7 - -14. Let d = t - 4. Determine m, given that -2*m**3 + 2*m**4 - m**3 + 2*m**2 + 7*m**d = 0.
-1, 0
Find l such that -5/2*l**5 + 0*l**2 - 17/2*l**3 + 0 + 9*l**4 + 2*l = 0.
-2/5, 0, 1, 2
Suppose 3*u + 3 = -0. Let s be u/2 - (-21)/30. Solve -1/5*m**2 - 1/5*m + 1/5 + s*m**3 = 0.
-1, 1
Let t = -3075/11 - -279. Let c = t + 23/22. Factor -2*g**2 - c - 5/2*g.
-(g + 1)*(4*g + 1)/2
Suppose 0 = 3*l + 13 - 22. Solve -14/13*j**2 - 18/13*j - 4/13 + 18/13*j**4 + 18/13*j**l = 0 for j.
-1, -2/3, -1/3, 1
Factor -2/7*x**5 + 8/7*x**4 + 32/7*x - 32/7*x**2 + 0 + 0*x**3.
-2*x*(x - 2)**3*(x + 2)/7
Let n be 1 + ((-3328)/420)/8. Let t(o) be the second derivative of n*o**6 - 1/35*o**5 - o + 0*o**4 + 0*o**3 + 0 + 0*o**2. Factor t(r).
2*r**3*(r - 2)/7
Suppose -b + 4 = -4*w, 1 = -b + 5. Let l(u) be the first derivative of 2 - 1/16*u**4 + 0*u + 0*u**3 + w*u**2. Factor l(q).
-q**3/4
Let l = -124 - -497/4. Factor 1/2 - 1/4*d**2 - l*d.
-(d - 1)*(d + 2)/4
Let k(n) be the second derivative of 1/72*n**4 + 0 + 5*n + 0*n**3 - 1/252*n**7 - 1/180*n**6 + 1/120*n**5 + 0*n**2. Let k(u) = 0. What is u?
-1, 0, 1
Factor -4/7*o**2 + 0*o + 4/7.
-4*(o - 1)*(o + 1)/7
Let n(g) = -g**3 - g**2 - 2*g. Let p(x) = 4*x**3 + 4*x**2 + 4*x. Let z(r) = -3*n(r) - p(r). Factor z(b).
-b*(b - 1)*(b + 2)
Let l(v) be the third derivative of -v**10/70560 + v**8/15680 + v**4/6 - 2*v**2. Let g(r) be the second derivative of l(r). Suppose g(c) = 0. Calculate c.
-1, 0, 1
Let g(c) = -c**2 - 8*c - 8. Let o be (6/9)/(1/6). Suppose 4*j - 1 = 35. Let r(u) = 2*u**2 + 17*u + 17. Let l(q) = j*g(q) + o*r(q). Find i such that l(i) = 0.
-2
Let l(g) = -g**3 - 2*g**2 + 2. Let f be 16/(-6) + (-2)/(-3). Let i(j) = 4*j**3 + 8*j**2 - 9. Let o(u) = f*i(u) - 9*l(u). Determine d, given 