 of -4 - 2/5*q**3 + 1/10*q**6 - s*q**4 - 1/10*q**2 + 1/5*q**5 + 1/5*q. Factor n(b).
(b - 1)*(b + 1)**3*(3*b - 1)/5
Let j(q) = 4*q + 6. Let x be j(-3). Let k be (x/18)/(1/(-8)). Factor 0 - k*d**2 - 4/3*d - 5/3*d**3 - 1/3*d**4.
-d*(d + 1)*(d + 2)**2/3
Let i(f) = -2*f + 0*f - 4 - 2. Let p be i(-3). Determine l so that -1/4*l**3 + p*l**2 - 1/2 + 3/4*l = 0.
-2, 1
Let f(k) be the second derivative of -k**6/1080 - k**5/180 - k**4/72 + k**3/6 + 3*k. Let z(g) be the second derivative of f(g). Let z(l) = 0. Calculate l.
-1
Let t(o) be the second derivative of 0*o**2 + 5/6*o**4 - 5/42*o**7 + o + 0*o**5 + 0 + 5/6*o**3 - 1/3*o**6. Let t(v) = 0. Calculate v.
-1, 0, 1
Let p be 1/((-3)/12*-2). Let n(u) be the first derivative of 3 + p*u**2 - 5*u**2 - 5 + u**3 + 3*u + 0. Determine t, given that n(t) = 0.
1
Determine t, given that 0 + 2/3*t**2 + 2/3*t**3 + 0*t = 0.
-1, 0
Let x = 1/228 - -47/836. Let u(v) be the second derivative of -x*v**3 - 1/66*v**4 + 0 - 1/11*v**2 + 5*v. Suppose u(m) = 0. What is m?
-1
Let k(p) be the second derivative of -1/35*p**6 + 0*p**4 + 0 - 39*p + 1/147*p**7 + 0*p**3 + 0*p**2 + 1/35*p**5. Determine v, given that k(v) = 0.
0, 1, 2
Let a be (2 + -20)*(-1 + 2). Let m be (-1)/(-3) + 3/a. Factor 1/3*f**4 + 1/6*f**3 - 1/3*f**2 + 0 - m*f.
f*(f - 1)*(f + 1)*(2*f + 1)/6
Factor -3127*f**2 + 118*f + 1125 + 3122*f**2 - 5*f**3 + 207*f.
-5*(f - 9)*(f + 5)**2
Let a = -68 + 72. Suppose 4*i**4 - i**2 + a*i**2 - 4*i + 4*i**3 - 15*i**2 + 8 = 0. What is i?
-2, -1, 1
Let b = 81 - 171. Let h = b - -454/5. Find p, given that 0*p**3 + 4/5*p**2 + 2/5*p - 2/5*p**5 + 0 - h*p**4 = 0.
-1, 0, 1
Let o(l) be the first derivative of -5*l**6/6 + 8*l**5 - 125*l**4/4 + 190*l**3/3 - 70*l**2 + 40*l + 65. Let o(r) = 0. What is r?
1, 2
Solve -4/7*o**2 + 984/7*o - 60516/7 = 0.
123
Let t(h) = h**3 + 10*h**2 + 9*h + 3. Let o be t(-9). Solve 3*w**3 - w**o - 7 + 8*w - 5*w**2 + 3 - w**3 = 0.
1, 2
Suppose 3 + 10*k - 7/4*k**3 - 9/4*k**2 = 0. What is k?
-3, -2/7, 2
Let y(r) be the first derivative of r**3/15 - 11*r**2/10 - 38. Suppose y(t) = 0. What is t?
0, 11
Let d(q) be the first derivative of -q**6/15 + 2*q**5/25 + 9*q**4/10 - 26*q**3/15 - 8*q**2/5 + 24*q/5 - 246. Find j such that d(j) = 0.
-3, -1, 1, 2
Let l(v) be the first derivative of v**3 + 96*v**2 + 3072*v + 30. Factor l(z).
3*(z + 32)**2
What is g in -12039*g**2 - 9*g**5 - 2*g**5 - 29160*g - 275*g**4 - 5130*g**3 - 21981*g**2 + 6*g**5 = 0?
-18, -1, 0
Let q(t) = -t**2 - 11*t + 62. Let i be q(-14). Suppose 0 = -4*z + i - 12. Find w, given that 0 - 1/3*w**z + 2/3*w = 0.
0, 2
Let p = 51632 - 361418/7. Find l such that p*l**5 + 12/7*l**4 - 6/7*l**3 + 0 + 0*l - 12/7*l**2 = 0.
-2, -1, 0, 1
Let h(b) be the first derivative of 0*b - b**2 + 7 + 2/9*b**3. Let h(s) = 0. What is s?
0, 3
Let g(y) be the second derivative of -y**6/480 + y**5/60 - y**4/24 - y**2/2 - 13*y. Let j(r) be the first derivative of g(r). Solve j(k) = 0 for k.
0, 2
Let s be (-6)/((-48)/(-52))*-4. Let u be 48/s + (-24)/(-156). What is i in -2/5*i**u - 4/5*i + 2/5*i**3 + 0 = 0?
-1, 0, 2
Let s(z) be the first derivative of z**6/4 + 3*z**5/2 + 3*z**4/8 - 21*z**3/2 - 27*z**2/2 - 108. Solve s(l) = 0.
-3, -1, 0, 2
Let j(t) = -t**3 - t - 10. Let z be j(0). Let v be 6/z*16/(-12). Let 4/5*i - 4/5*i**4 + 4/5*i**2 + 0 - v*i**3 = 0. What is i?
-1, 0, 1
Suppose 46*w + 8 = 48*w, 0 = 2*g + w - 8. Suppose 0 = f - 3 + 1. Find m, given that -2*m**2 + f*m**2 - m - m**g - m = 0.
-2, 0
Let w(h) be the first derivative of h**8/504 + h**7/315 - 4*h**2 + 3. Let t(k) be the second derivative of w(k). Find o, given that t(o) = 0.
-1, 0
Let f be (44 + -46)*2/(-20). Let j(x) be the second derivative of -x**4 - 2*x**3 + 0 - 2*x**2 - f*x**5 + 3*x. Determine d so that j(d) = 0.
-1
Let j(l) be the first derivative of -1/18*l**2 - 1/45*l**5 - 18 + 1/36*l**4 + 1/27*l**3 + 0*l. Factor j(u).
-u*(u - 1)**2*(u + 1)/9
Let a(x) be the second derivative of -1/195*x**6 + 1/65*x**5 + 0*x**4 + 0 - 2/39*x**3 - 9*x + 1/13*x**2. Factor a(w).
-2*(w - 1)**3*(w + 1)/13
Factor 14*h**4 - 14*h**2 + 48*h**3 + h**5 + 56*h + 128*h - 233*h.
h*(h - 1)*(h + 1)*(h + 7)**2
Let v = 6994 - 27971/4. Factor 7/4*r + v*r**2 + 1/4*r**3 + 3/4.
(r + 1)**2*(r + 3)/4
Let -336/5*b**2 - 6/5*b**5 - 38*b + 44/5*b**4 + 20 + 4/5*b**3 = 0. Calculate b.
-2, -1, 1/3, 5
Let m(u) be the third derivative of -u**9/181440 - u**8/60480 + u**7/7560 + 19*u**5/60 + 11*u**2. Let w(p) be the third derivative of m(p). Factor w(z).
-z*(z - 1)*(z + 2)/3
Let g(m) = -m**2 - 2*m + 12. Let h be (-50)/125 - (-6)/(-10). Let o(u) = 1. Let i(j) = h*g(j) + 4*o(j). Let i(v) = 0. What is v?
-4, 2
Let f be -2 - 0 - (-17 - -15). Factor -3*x**3 - 16/3*x + 8*x**2 + f + 1/3*x**4.
x*(x - 4)**2*(x - 1)/3
Let k(y) be the second derivative of -3/140*y**5 + 1/28*y**4 - 30*y - 3/14*y**2 + 0 + 1/14*y**3. Find z, given that k(z) = 0.
-1, 1
Let h(k) be the second derivative of k**4/90 + k**3/5 - 2*k**2/3 + 27*k. What is b in h(b) = 0?
-10, 1
Factor -13 + 162*l**3 - 84 - 2502*l**2 + 32 + 3 + 1088*l - 58.
2*(l - 15)*(9*l - 2)**2
Let v(p) be the second derivative of 0 - 1/10*p**3 - 1/20*p**4 + 9/5*p**2 - 48*p. Let v(d) = 0. What is d?
-3, 2
Suppose 2*w = -w - 5*s - 14, 5*s + 20 = 0. Let o(m) = -m**3 - 19*m**2 + 65*m - 13. Let k be o(-22). Factor -3*u + k*u**3 + 25*u - 33*u**w + 14*u - 12.
3*(u - 2)*(u - 1)*(3*u - 2)
Suppose 12 = 2*z + 2*z. Suppose -l = 4*n - 2*l - 4, -z*n + l + 2 = 0. Factor 54*i**3 - 50*i**3 + 8*i + 16*i**2 - 4*i**n.
4*i*(i + 1)*(i + 2)
Let u(x) be the first derivative of -x**5/20 + 11*x**4/24 - x**3 - 9*x**2/4 + 9*x - 12. Let s(p) be the first derivative of u(p). Factor s(n).
-(n - 3)**2*(2*n + 1)/2
Determine d, given that 0 + 1/3*d**2 - 13/3*d = 0.
0, 13
Solve -29*m**2 + 93*m + 12*m**5 - 18*m**3 + 33*m**4 + 2*m**4 + 6*m**3 - 99*m = 0.
-3, -2/3, -1/4, 0, 1
Let t(p) = -8*p + 7. Let n(g) = -7*g + 6. Let d(u) = -7*n(u) + 6*t(u). Let l be d(4). Solve -1/4*a**3 + 0 - 1/4*a**l + 0*a + 0*a**2 = 0 for a.
-1, 0
Suppose 0 = u - z - 2, 4*u + 0*z - 8 = -4*z. Suppose u*b + 29 = 35. Factor 2*n**b + n**5 + 2*n**3 - 2*n - 3*n**5.
-2*n*(n - 1)**2*(n + 1)**2
Suppose 0 = r - 6, 156 = -2*b + 3*r + 138. Suppose b - 2/7*g**2 + 6/7*g = 0. Calculate g.
0, 3
Let q = -29 - -35. Suppose -6*p + q*p**3 + 3*p**4 - 3*p**2 + 47 - 47 = 0. What is p?
-2, -1, 0, 1
Suppose -3*p + 4*z = 3*z - 8, z = -p. Find g such that 1/4*g**p - 1/4*g - 1/2 = 0.
-1, 2
Let p = 47/5 + -1249/135. Let i = 68/27 + p. Determine g so that 4/3*g - g**4 - 11/3*g**3 + 0 - i*g**2 = 0.
-2, 0, 1/3
Let o be 52/4 - 0/(-3). Let a = o + -10. Determine c, given that -c**4 + 3*c**3 - 5*c**a + 25*c**2 - 26*c**2 = 0.
-1, 0
Let t(k) be the first derivative of 3/20*k**4 + 0*k**2 + 0*k - 3/25*k**5 + 0*k**3 + 3. Factor t(p).
-3*p**3*(p - 1)/5
Let j(r) be the first derivative of r**5/15 + r**4/3 + r**3/3 - 2*r**2/3 - 4*r/3 + 630. Determine i so that j(i) = 0.
-2, -1, 1
Let h(f) = 2*f**3 + 42*f**2 + 8. Let g be h(-21). Let j be (-2)/16*g/(-2). Factor 0*s**2 + 0*s + 0 - 3/4*s**4 - j*s**3 - 1/4*s**5.
-s**3*(s + 1)*(s + 2)/4
Let p(w) = -w - 9. Let i be p(-13). Suppose 0 = -i*v - 4 + 16. Factor -12*h**2 + 8 - 4*h**4 + 4*h + 0*h**4 - 4*h**v + 8*h**4.
4*(h - 2)*(h - 1)*(h + 1)**2
Let v(c) be the second derivative of c**7/21 - c**6/6 - c**5/4 + 5*c**4/12 + c**3/2 + 87*c + 2. Find h such that v(h) = 0.
-1, -1/2, 0, 1, 3
Let i = -28/51 - -159/238. Let m(k) be the second derivative of k + 0*k**4 + 0*k**2 - i*k**7 + 0*k**5 + 0*k**3 + 0 - 1/3*k**6. Suppose m(y) = 0. What is y?
-2, 0
Let u(y) = -3*y**4 - 48*y**3 - 6*y**2 + 48*y + 21. Let o(n) = -5*n**4 - 96*n**3 - 12*n**2 + 96*n + 43. Let b(j) = 6*o(j) - 13*u(j). Let b(a) = 0. What is a?
-5, -1, -1/3, 1
Let a = -2 + 5. Suppose 5*d**a + 24*d - 11*d**2 - 24*d + d**2 = 0. What is d?
0, 2
Let n(l) be the second derivative of 0*l**2 + 1/120*l**5 + 0*l**4 + 5*l + 0 - 1/36*l**3. Factor n(b).
b*(b - 1)*(b + 1)/6
Suppose -50*g + 300 = 25*g. Let n(u) be the second derivative of -5*u - 1/110*u**5 + 0 + 0*u**2 + 0*u**3 - 1/33*u**g. Find d such that n(d) = 0.
-2, 0
What is p in 220*p**2 + 107 + 4*p**3 + 126 + 428*p - 17 - 4 = 0?
-53, -1
Suppose 3*k + 103*u - 101*u = 1, -k - 4*u = 13. What is z in 2/3*z**5 - 80/3*z**2 - 20/3*z**4 + 32/3*z + 0 + 22*z**k = 0?
0, 1, 4
Let p(v) be the first derivative of 0*v**3 - 6 - 1/