/11*p**2 - 4/11*p + 30/11.
-2*(p - 3)*(p + 5)/11
Let n(j) = j**4 + 5*j**3 + 10*j**2 - 6. Let y(t) = -2*t**4 - 9*t**3 - 18*t**2 + 11. Let f(m) = 11*n(m) + 6*y(m). Factor f(z).
-z**2*(z - 2)*(z + 1)
Let x be 156/11 + -6 - (-2)/(-11). Let i(n) be the first derivative of -x + 1/5*n**3 - 6/5*n**2 + 9/5*n. Let i(j) = 0. What is j?
1, 3
Let j be 1 - ((-516)/508 + 2). Let p = 248/381 + j. Find n such that 0*n**3 + 0 + 0*n - 2/3*n**4 + p*n**2 = 0.
-1, 0, 1
Factor 2/7*s**5 + 0*s - 2/7*s**3 + 0 - 2/7*s**2 + 2/7*s**4.
2*s**2*(s - 1)*(s + 1)**2/7
Let v(w) be the second derivative of -1/36*w**4 - 44*w + 11/6*w**2 + 5/9*w**3 + 0. Factor v(p).
-(p - 11)*(p + 1)/3
Suppose -5*v + 19*v - 28 = 0. Let b(g) be the first derivative of -7/10*g**4 - 4 + 6/5*g**3 - g**v + 4/25*g**5 + 2/5*g. Determine c, given that b(c) = 0.
1/2, 1
Determine u so that -433*u**4 + 48*u**3 + 428*u**4 - 113*u**2 + 96*u - 27*u**2 + 64 = 0.
-2/5, 2, 4
Factor 2/5*g**4 - 1/5*g + 0*g**3 - 2/5*g**2 + 1/5*g**5 + 0.
g*(g - 1)*(g + 1)**3/5
Let g(i) be the first derivative of -3/8*i**4 - i**3 + 3*i - 26 + 3/4*i**2. Factor g(v).
-3*(v - 1)*(v + 1)*(v + 2)/2
Suppose -3/2*i - 3/2*i**4 + 15/4*i**2 + 0 - 3/4*i**3 = 0. What is i?
-2, 0, 1/2, 1
Let f(m) be the second derivative of 2 + 4*m + 0*m**3 + 1/30*m**5 + 1/27*m**6 - 1/27*m**4 + 0*m**2. Factor f(d).
2*d**2*(d + 1)*(5*d - 2)/9
Let m(a) be the third derivative of -a**6/480 + a**5/120 + a**4/12 - 185*a**2. Factor m(f).
-f*(f - 4)*(f + 2)/4
Let k be 38/90 + (-6)/27*1. Let o be 8/40*2*1. Factor o + 3/5*s + k*s**2.
(s + 1)*(s + 2)/5
Let y be (-2)/(-8) + 94/8. Let m = 15 - y. Solve -2*w**m + 4*w**4 - w + 0*w - 10*w**2 - 3*w = 0.
-1, -1/2, 0, 2
Determine h, given that -18/5 - 1/5*h**2 - 9/5*h = 0.
-6, -3
Let b(d) be the second derivative of d**5/20 + d**4/4 - 4*d**3 + 14*d**2 + 17*d + 2. Suppose b(v) = 0. Calculate v.
-7, 2
Let q be (15 - -3) + 0/(-2). Suppose -2*i - j = 1 - q, 5*i + j - 41 = 0. Find c, given that -i + 2*c**2 + 9 - 3 = 0.
-1, 1
Let x(b) be the second derivative of b**5/30 + 17*b**4/3 + 832*b**3/3 - 5408*b**2/3 + 51*b - 1. Factor x(j).
2*(j - 2)*(j + 52)**2/3
Let l(u) be the first derivative of 7*u**5/10 - 5*u**4/6 - 2*u**3/3 + 28*u - 25. Let o(m) be the first derivative of l(m). Determine s so that o(s) = 0.
-2/7, 0, 1
Suppose 4*l + 3 = 7*l. Suppose 25 = 2*w - 3*i, -w + l = -4*i - 24. Factor 0*f**3 + 3/2*f - 3/2*f**w - 3*f**4 + 0 + 3*f**2.
-3*f*(f - 1)*(f + 1)**3/2
Let k = 2697/2 - 1346. Find a such that 0*a**3 + 5/6*a**4 - k*a**2 - 5/3*a + 0 = 0.
-1, 0, 2
Suppose -30*g**4 - 15*g + 9550 - 9552 - 22*g**2 - 12*g**2 - 6*g**2 - 7*g**5 - 50*g**3 = 0. What is g?
-1, -2/7
Let m(b) be the first derivative of -21*b**5/5 - 183*b**4/4 + 165*b**3 - 357*b**2/2 + 66*b + 67. Let m(k) = 0. What is k?
-11, 2/7, 1
Let p(x) be the first derivative of -2*x**3/15 + 22*x**2/5 + 428. Factor p(u).
-2*u*(u - 22)/5
Suppose 4*g = 26 - 26. Let t(v) be the third derivative of -1/40*v**6 + 1/210*v**7 + g*v**3 + 0*v - 1/24*v**4 + 0 + 3*v**2 + 1/20*v**5. Let t(q) = 0. What is q?
0, 1
Suppose 2*z = -0*z + 4. Factor 5*k**z - 15*k**3 - 7*k**4 + 2*k + 4*k**3 + 11*k**4.
k*(k - 2)*(k - 1)*(4*k + 1)
Let x = -4369 + 4373. What is q in 4/3 + 1/3*q**5 - 7/3*q**2 - 1/3*q**3 + q**x + 0*q = 0?
-2, -1, 1
Let w(l) be the second derivative of l**4/4 - 4*l**3 + 46*l. Factor w(j).
3*j*(j - 8)
Suppose -1/4*s**5 + 0 + 0*s + 1/4*s**3 - 5/4*s**2 + 5/4*s**4 = 0. What is s?
-1, 0, 1, 5
Let m(v) = -4*v**3 - 4*v**2 - 8*v - 2. Let n = -21 + 16. Let j(a) = 3*a**3 + 3*a**2 + 7*a + 2. Let r(z) = n*m(z) - 6*j(z). Suppose r(s) = 0. What is s?
-1, 1
Let g(m) be the second derivative of -m**7/294 - m**6/42 - m**5/140 + 13*m**4/84 + m**3/21 - 4*m**2/7 + m - 75. Suppose g(v) = 0. What is v?
-4, -2, -1, 1
Suppose -23 = -w - 5*x, 2*x = -w + 8 + 3. Let g(c) be the second derivative of -c + 0*c**2 + 0*c**w + 0 - 1/15*c**5 - 1/36*c**4 - 1/30*c**6. Factor g(k).
-k**2*(k + 1)*(3*k + 1)/3
Let f be ((-138)/(-18) + -8)*0. What is o in -28/3*o**5 + 0 + 8/3*o**4 + 0*o**2 + f*o**3 + 0*o = 0?
0, 2/7
Let y(o) = -o**2 - 2*o - 2. Let m(a) = a**3 + 34*a**2 + 233*a + 8. Let t(w) = -5*m(w) - 20*y(w). Factor t(d).
-5*d*(d + 15)**2
Let m(u) be the first derivative of -u**6/180 + 5*u**3/3 - 13. Let i(f) be the third derivative of m(f). Determine t, given that i(t) = 0.
0
Suppose -4*m = -y + 8, 3*y - 14 = -0*y + 2*m. Factor 4 + 2*o**2 + 5 + y*o - 17 + 10.
2*(o + 1)**2
Let g(t) be the first derivative of 1/4*t**2 + 0*t + 1/3*t**3 - 3/8*t**4 - 9. Factor g(a).
-a*(a - 1)*(3*a + 1)/2
Let o(k) be the first derivative of 4*k**3/9 - 2*k**2 + 8*k/3 - 46. Factor o(x).
4*(x - 2)*(x - 1)/3
Let d(c) be the third derivative of c**7/1050 + 43*c**6/600 - c**5/300 - 43*c**4/120 + c**2 + 220. Factor d(k).
k*(k - 1)*(k + 1)*(k + 43)/5
What is f in 0*f - 6*f**2 + 0*f**3 + 0 + 2/3*f**4 = 0?
-3, 0, 3
Let m(b) be the third derivative of 0*b + 0 - 1/240*b**4 + 0*b**3 + 1/1200*b**6 - 17*b**2 + 0*b**5. Solve m(a) = 0 for a.
-1, 0, 1
Let d be (-3)/(-6) + (-4)/8. Let p = -242 + 728/3. Find k, given that -1/3*k**3 - 1/3*k + d - p*k**2 = 0.
-1, 0
Let q = 113 + -110. Let o(y) be the first derivative of 3/2*y**4 + 3/5*y**5 + 2 - 3*y**2 - y**q + 0*y. Let o(i) = 0. Calculate i.
-2, -1, 0, 1
Factor -18*k**4 - 6*k**3 + 30*k**4 - 2*k**5 + 14*k**3 + 6*k**5.
4*k**3*(k + 1)*(k + 2)
Suppose 0 = 7*h - 3*h - 3*n - 4, -5 = -5*h - 5*n. Let k be (0 - 33/12) + 2 + h. Find c such that -k*c - 1/4*c**2 + 0 = 0.
-1, 0
Let n(z) be the second derivative of 5*z**4/12 - 160*z**3/3 + 2560*z**2 - 68*z. What is j in n(j) = 0?
32
Factor -20/9 - 14/9*w - 2/9*w**2.
-2*(w + 2)*(w + 5)/9
Let k(r) be the first derivative of 8 - 12/5*r**5 - 37*r**3 + 36*r**2 + 63/4*r**4 - 12*r. Determine w so that k(w) = 0.
1/4, 1, 2
Let m(n) be the first derivative of 0*n - 1/3*n**3 + 1/4*n**4 - 11 + 1/6*n**2 - 1/15*n**5. Solve m(g) = 0.
0, 1
Let p be 1 + 3 - 16/12. Let t = 41/15 - -3/5. Find w, given that -2/3*w - 20/3*w**2 + t*w**5 + 16/3*w**4 + 4/3 - p*w**3 = 0.
-1, 2/5, 1
Let m(b) = b**2 + 10*b - 15. Let r be m(-13). Suppose 4 - r = -5*k. Let -5*j**3 - j**4 - 3 - j**3 + 0 + k*j**4 + 6*j = 0. What is j?
-1, 1
Solve -35/4*i**4 + 5/2*i - 75/4 + 30*i**3 + 115/2*i**2 - 5/2*i**5 = 0.
-5, -1, 1/2, 3
Suppose -8*t + 1/2*t**3 + 0 + 15/2*t**2 = 0. Calculate t.
-16, 0, 1
Let v be ((-6)/4)/(-7 + (38/(-8) - -11)). Suppose -6/7*h + 3/7*h**3 + 0 - 3/7*h**v = 0. What is h?
-1, 0, 2
Let d(a) = -a**3 - a - 2. Let u(m) = -8*m**3 - 83*m**2 - 199*m + 46. Let s(n) = -4*d(n) + u(n). Determine z, given that s(z) = 0.
-18, -3, 1/4
Let z(v) be the first derivative of 2*v**5/25 - 8*v**4/5 - 4*v**3/15 + 528*v**2/5 + 2178*v/5 - 318. Factor z(b).
2*(b - 11)**2*(b + 3)**2/5
Let u(g) be the third derivative of g**6/60 - 2*g**5/5 + 9*g**4/4 + 40*g**3/3 + 2*g**2 + 5*g. Factor u(w).
2*(w - 8)*(w - 5)*(w + 1)
Let o(f) = f**4 + 5*f**3 + 9*f**2 - 5*f - 1. Suppose -3*s = 28 + 2. Let w(x) = -4*x**4 - 16*x**3 - 28*x**2 + 16*x + 2. Let l(c) = s*o(c) - 3*w(c). Factor l(h).
2*(h - 2)*(h - 1)*(h + 1)**2
Let r(x) be the third derivative of -x**6/3420 + x**5/285 - x**4/57 + x**3/2 - 4*x**2. Let s(z) be the first derivative of r(z). Solve s(i) = 0.
2
Let f(d) be the second derivative of d**5/180 - 5*d**4/108 + 7*d**3/54 - d**2/6 - 6*d - 2. Solve f(s) = 0.
1, 3
Let r(v) = 145*v**3 + 1345*v**2 + 3500*v - 4985. Let j(g) = -g**4 - 145*g**3 - 1346*g**2 - 3500*g + 4988. Let f(y) = 5*j(y) + 4*r(y). Solve f(c) = 0 for c.
-10, 1
Suppose 4*p + 11 = 91. Suppose 2*f - 4*h = -3 - 1, -2*f = 4*h - p. Suppose -10*l**5 - 4*l**3 + 18*l + 0*l**3 - 24*l**4 + 20*l**2 + f - 4*l**3 = 0. What is l?
-1, -2/5, 1
Let q be 5 - 2 - 114/42. Let g(p) be the second derivative of 10*p - q*p**2 + 1/42*p**4 + 0 - 1/21*p**3. Find l such that g(l) = 0.
-1, 2
Let t(m) = m**2 + 8*m - 3. Let x(h) = 4*h**2 + 25*h - 8. Let s(f) = -7*t(f) + 2*x(f). Let s(p) = 0. Calculate p.
1, 5
Suppose -15 = 2*t - 5*t - 3*x, 20 = 2*t + 4*x. Let z be ((-17)/17)/((-2 - -1)/5). Let -u - 3*u**3 + z*u + t*u**3 - u = 0. Calculate u.
-1, 0, 1
Let q(c) = 65*c**3 - 155*c**2 - 1716*c - 2887. Let d(h) = -23*h**3 + 52*h**2 + 572*h + 962. Let f(j) = 17*d(j) + 6*q(j). Factor f(m).
-(m + 2)*(m + 22)**2
Let n(t) = 7*t**3 + 9*t**2 - 12*t - 4. Let m(p) = p**3 - 3*p - 1. Let x(s) = -4*m(s) + n(s). Factor x(v).
3*v**2*(v + 3)