2*n**2 + 6. Factor j(b).
-b**2*(b - 2)*(b + 22)**2/2
Let r = 38 + -37. Let u = 4/3 - r. Let -1/6*g**4 + u*g + 1/6*g**5 - 1/2*g**3 + 0 + 1/6*g**2 = 0. Calculate g.
-1, 0, 1, 2
Let i(b) = -16*b + 147. Let l be i(9). Let z(q) be the first derivative of -4 + 0*q - 3/5*q**5 - 9/4*q**4 + 1/2*q**6 + 5*q**l - 3*q**2. What is p in z(p) = 0?
-2, 0, 1
Let z(c) = 4*c**2 + 65*c + 49. Let t(j) = 44*j**2 + 716*j + 544. Let d(i) = -3*t(i) + 32*z(i). Factor d(u).
-4*(u + 1)*(u + 16)
Let d(x) be the third derivative of 56*x**2 + 2/35*x**7 + 1/112*x**8 + 0*x**3 + 1/5*x**5 + 0*x + 0 + 1/8*x**4 + 3/20*x**6. Factor d(u).
3*u*(u + 1)**4
Let a(f) = 2*f**3 + 6*f**2 - 2*f - 1. Let p be a(-3). Let x(r) be the first derivative of 12/5*r**3 + 3*r**2 - 2 + 9/5*r + 9/10*r**4 + 3/25*r**p. Factor x(m).
3*(m + 1)**3*(m + 3)/5
Let p be 24/(-135) + ((-48)/(-20) - 2). Factor p*g**2 + 2/9 + 4/9*g.
2*(g + 1)**2/9
Let 1/3*t**2 + 0 + 1/3*t = 0. Calculate t.
-1, 0
Suppose 4*m + b = 0, m - 3*b = -4*m. Factor -2/7*k + 0*k**2 + m*k**4 + 0 + 4/7*k**3 - 2/7*k**5.
-2*k*(k - 1)**2*(k + 1)**2/7
Factor 24*s**4 - 4*s - 6*s - 3*s - 24*s**2 - 7*s + 4*s**5 + 16*s**3.
4*s*(s - 1)*(s + 1)**2*(s + 5)
Let f(v) = -v**3 - v**2 - 3*v + 3. Let b be f(0). Factor -11*y**3 - 46*y**b + 18*y + 3 + 3*y**2 - 15*y**3 + 48*y**4.
3*(y - 1)**2*(4*y + 1)**2
Let s be ((3 - 0) + -2)*2. Let q = -13/74 + 25/37. Factor -v + q*v**s + 1/2.
(v - 1)**2/2
Let h(d) be the second derivative of -d**6/105 - 19*d**5/70 - 52*d**4/21 - 176*d**3/21 - 96*d - 3. Factor h(x).
-2*x*(x + 4)**2*(x + 11)/7
Let i(c) be the second derivative of c**4/12 + c**3/2 + c**2 + 3*c. Let f(p) = 2*p**2 + 3*p + 1. Let w(z) = 5*f(z) - 4*i(z). Factor w(x).
3*(x + 1)*(2*x - 1)
Let b(w) be the third derivative of 3*w**6/160 - w**5/20 - w**4/8 - 240*w**2. Factor b(y).
3*y*(y - 2)*(3*y + 2)/4
Let y(o) = 3*o**3 + 9*o**2 - 3*o. Let b(w) = -1317 + 1317 + 4*w - 3*w**3 - 9*w**2. Let q(j) = -3*b(j) - 4*y(j). Factor q(d).
-3*d**2*(d + 3)
Suppose 7*l + 2*l = 18. Let k be (15/(-9))/(2/(-6)). Factor 2*c - 2 - 3*c**3 + c**3 + 7*c**l - k*c**2.
-2*(c - 1)**2*(c + 1)
Factor -1/8*s**2 + 0 - 19/8*s + 1/8*s**4 + 19/8*s**3.
s*(s - 1)*(s + 1)*(s + 19)/8
Suppose 0 - 1/3*u**4 + 19/6*u**3 + 11/6*u + 16/3*u**2 = 0. Calculate u.
-1, -1/2, 0, 11
Suppose 4*c = -y + 22, 0 = 5*y + 4*c - 53 - 9. Let w(i) be the first derivative of -1/6*i**2 - 1/9*i**3 - y + 1/12*i**4 + 1/3*i. Factor w(b).
(b - 1)**2*(b + 1)/3
Let m = 12 + -6. Let l be (9/m)/(1/2). Solve -l*u + 0*u + 3*u**2 + 12 - 9*u = 0.
2
Let n = -18329 + 18329. Let n + 0*c - 1/5*c**2 = 0. What is c?
0
Let p(g) be the first derivative of -g**6/360 + g**5/20 - 3*g**4/8 + 2*g**3 + 17. Let f(y) be the third derivative of p(y). Factor f(l).
-(l - 3)**2
Let f = -7011 + 7011. Determine o, given that 0*o**2 - 1/3*o + f*o**4 - 1/3*o**5 + 2/3*o**3 + 0 = 0.
-1, 0, 1
Suppose -5*s + 5 = 4*m, -2*m + 0*s - 5 = -5*s. Suppose -9*o + m*o = -o. Determine r so that -1/10*r**3 + 0 + o*r**2 + 0*r = 0.
0
Let k(v) be the second derivative of v**8/33600 - v**7/12600 - v**6/3600 + v**5/600 - v**4 - 16*v. Let a(c) be the third derivative of k(c). Factor a(d).
(d - 1)**2*(d + 1)/5
Determine d so that -50*d**2 + 5*d**4 + 29*d - 33*d + 44*d + 0*d**3 + 5*d**3 = 0.
-4, 0, 1, 2
Let d(y) be the second derivative of 5*y**4/12 - 530*y**3/3 + 28090*y**2 + 264*y + 1. Solve d(v) = 0.
106
Let d(y) be the first derivative of -3*y**4/14 + 26*y**3/21 + 10*y**2/7 - 417. Find i such that d(i) = 0.
-2/3, 0, 5
Let k(h) = h**2 - 27*h + 16. Let j(c) = c**2 - 26*c + 13. Let i(o) = 5*j(o) - 6*k(o). Find t, given that i(t) = 0.
1, 31
What is c in 20/13 - 2/13*c**2 - 18/13*c = 0?
-10, 1
Determine d, given that -23 - 436*d + 3*d**3 + 196 + 47 + 212*d**2 + d**3 = 0.
-55, 1
Let n = -225 + 236. Suppose 4*w = 19 - n. Factor -2/11*p**3 + 4/11*p**w + 2/11*p - 4/11.
-2*(p - 2)*(p - 1)*(p + 1)/11
Let i(a) be the third derivative of 1/27*a**4 + 0 + 0*a - 4/135*a**5 + 0*a**3 + 20*a**2 + 1/189*a**7 - 7/540*a**6. What is v in i(v) = 0?
-1, 0, 2/5, 2
Let w = 28 - 20. Let x = w - 8. Factor 4 + x*s - 2*s - 4*s**2 + 2*s**2.
-2*(s - 1)*(s + 2)
Let d(q) be the third derivative of q**5/75 + 13*q**4/15 + 338*q**3/15 - 58*q**2. Factor d(y).
4*(y + 13)**2/5
Determine f, given that -29584/7 - 4/7*f**2 + 688/7*f = 0.
86
Let p(j) = 2*j**2 + 38*j + 122. Let y be p(-15). What is u in -3/4*u + 9/4*u**y - 3/2 = 0?
-2/3, 1
Solve -80/7 - 220/7*f**2 + 2/7*f**5 - 24/7*f**4 + 216/7*f + 106/7*f**3 = 0 for f.
1, 2, 5
Factor 14/3*a + 2 - 5/6*a**2.
-(a - 6)*(5*a + 2)/6
Suppose -55/3*l**4 - 8/3 + 20/3*l + 43/3*l**3 + 42*l**2 = 0. Calculate l.
-1, -2/5, 2/11, 2
Suppose -9*l - 37 = 98. Let b be 6/(-3) + 3 + l/25. Solve -2/5 - b*q**2 + 4/5*q = 0 for q.
1
Let o(m) be the third derivative of 3/40*m**4 + 0*m**5 + 1/5*m**3 + 0*m - 1/200*m**6 + 20*m**2 + 0. Factor o(v).
-3*(v - 2)*(v + 1)**2/5
Let f(l) be the first derivative of -3*l**6/10 - 39*l**5/25 - 21*l**4/20 + 17*l**3/5 + 9*l**2/5 + 15. Suppose f(m) = 0. What is m?
-3, -2, -1/3, 0, 1
Let -23*q**3 - 27*q + 18*q - 76*q**2 - 18*q**3 - 43*q + 4732 + 45*q**3 = 0. Calculate q.
-7, 13
Let b(h) be the third derivative of 0 + 5/204*h**4 + 9*h**2 + 4/51*h**3 + 1/510*h**5 + 0*h. Determine z, given that b(z) = 0.
-4, -1
Let g(f) be the second derivative of 2*f**6/135 - f**5/15 - f**4/3 + 2*f**3 + 279*f. Determine o, given that g(o) = 0.
-3, 0, 3
Let -44/5*a + 8/5*a**2 + 36/5 = 0. Calculate a.
1, 9/2
Let a be (30/75)/((-36)/15)*-3. Let m(i) be the first derivative of -13 + 0*i**2 - a*i**4 - 4/25*i**5 + 0*i - 4/15*i**3. Find b, given that m(b) = 0.
-2, -1/2, 0
Let j(u) = 397*u**3 + 184*u**2 + 16*u - 4. Let h(a) = -399*a**3 - 183*a**2 - 17*a + 3. Let x(g) = 4*h(g) + 3*j(g). Factor x(y).
-5*y*(9*y + 2)**2
Determine y so that 0 + 2/17*y + 24/17*y**2 = 0.
-1/12, 0
Let x = -110 - -112. Suppose -2*z + 2 = -x. Factor 8/11*r**z - 6/11*r - 2/11.
2*(r - 1)*(4*r + 1)/11
Let n(w) be the first derivative of 2*w**5/15 + 2*w**4/3 + 4*w**3/9 - 4*w**2/3 - 2*w + 269. Suppose n(i) = 0. What is i?
-3, -1, 1
Let s = 113 - 111. Solve 399*r - r**3 + r**5 + s*r**4 - 399*r + 2*r**3 = 0 for r.
-1, 0
Suppose -3/10*m**3 + 1/10*m**5 + 11/10*m**4 - 31/10*m**2 + 0 + 11/5*m = 0. What is m?
-11, -2, 0, 1
Let z(g) be the second derivative of -g**6/80 - g**5/8 - g**4/2 - g**3 + 2*g**2 + 14*g. Let j(t) be the first derivative of z(t). What is k in j(k) = 0?
-2, -1
Let w(c) be the first derivative of 7/5*c**5 + 1/2*c**4 + 4 + 0*c - 7/3*c**3 - c**2. Factor w(n).
n*(n - 1)*(n + 1)*(7*n + 2)
Let m(u) be the second derivative of 3*u**5/160 - 17*u**4/16 - 37*u**3/16 + 105*u**2/8 - 76*u + 3. Solve m(w) = 0.
-2, 1, 35
Let a be ((-125)/(-225))/((-10)/(-16)). Determine f, given that -a + 10/9*f**3 + 26/9*f**2 + 8/9*f = 0.
-2, -1, 2/5
Factor 15/4*d**2 + 1 + 13/4*d + 7/4*d**3 + 1/4*d**4.
(d + 1)**3*(d + 4)/4
Let n = 73 - 509/7. Factor n*v**5 - 4/7*v**3 - 2/7*v**4 + 0*v**2 + 0 + 0*v.
2*v**3*(v - 2)*(v + 1)/7
Let f(m) be the first derivative of 2/39*m**3 - 14 + 18/13*m + 6/13*m**2. Factor f(a).
2*(a + 3)**2/13
Let k(c) = -8*c**4 - 44*c**3 - 6*c**2 - 6. Let x(s) = -10*s**4 - 44*s**3 - 6*s**2 - 4. Let o(d) = -4*k(d) + 6*x(d). Factor o(m).
-4*m**2*(m + 3)*(7*m + 1)
Let f(s) be the first derivative of 12/7*s - 13/7*s**2 + 3/14*s**4 + 8/21*s**3 + 2. Let f(x) = 0. Calculate x.
-3, 2/3, 1
Let d(o) be the second derivative of o**7/42 + o**6/10 - 21*o**5/20 - 47*o**4/12 + 20*o**3 + 72*o**2 - o - 9. Let d(z) = 0. Calculate z.
-4, -1, 3
Suppose -3*w = -3*m - 3, 0 = 2*m - 7*m - 4*w - 23. Let v = -1 - m. Find q, given that 8 + 4*q - 7*q**2 - 16*q**v + 15*q**2 - 4*q**3 = 0.
-2, -1, 1
Let x(w) be the second derivative of -3*w**5/2 + 43*w**4/6 + 7*w**3/3 - 3*w**2 + 43*w + 2. Factor x(c).
-2*(c - 3)*(3*c + 1)*(5*c - 1)
Let k(m) be the first derivative of -2*m**6/33 + 2*m**5/11 - m**4/11 - 8*m**3/33 + 4*m**2/11 - 2*m/11 + 101. Determine i so that k(i) = 0.
-1, 1/2, 1
Let o(b) be the first derivative of -5*b**6 + 116*b**5/5 - 71*b**4/2 + 64*b**3/3 - 4*b**2 - 282. Find r such that o(r) = 0.
0, 1/5, 2/3, 1, 2
Let f(v) be the third derivative of 3*v**5/20 - 25*v**4/72 - v**3/9 - 115*v**2. Let f(s) = 0. What is s?
-2/27, 1
Let b(d) be the third derivative of 0*d**3 + 0*d + 6*d**2 - 1/480*d**6 + 1/24*d**4 + 0 + 0*d**5. What is r in b(r) = 0?
-2, 0, 2
Let m(v)