, 0, 1
Let z(n) be the third derivative of -n**8/3528 - n**7/315 - 11*n**6/1260 + n**5/90 + n**4/21 - 74*n**2 - n. What is b in z(b) = 0?
-4, -3, -1, 0, 1
Let j(k) = 2*k**2 - k. Let t(f) = 14*f**2 + 428*f - 23762. Let w(n) = 8*j(n) - t(n). Factor w(r).
2*(r - 109)**2
Let k = 1137 + -1135. Factor 0 - 1/2*b**3 + 1/2*b + 1/4*b**k - 1/4*b**4.
-b*(b - 1)*(b + 1)*(b + 2)/4
Suppose -14*s + 20736 = -11*s. Let -1728*z - 3*z**3 + 0*z**2 + 0*z**3 - 144*z**2 - s - z**3 = 0. Calculate z.
-12
Let x(u) = -5*u**3 - 6*u**2 + 4*u - 4. Let r(q) = -11*q**3 - 13*q**2 + 9*q - 9. Suppose -2*y - 23 = -41. Let f(b) = y*x(b) - 4*r(b). Factor f(j).
-j**2*(j + 2)
Suppose 0 = a + 5*b + 21, -68 = -a + 5*b - 39. Factor 0*v + 3/5*v**5 + 0*v**a + 0*v**2 - 12/5*v**3 + 0.
3*v**3*(v - 2)*(v + 2)/5
Let s be (0 + 2 + -1)*(-1 - -6). Let d be -4*((-28)/(-12) - 3). Suppose 2/9*l**s + 4/3*l**4 + 0*l + d*l**3 + 0 + 16/9*l**2 = 0. Calculate l.
-2, 0
Let -3/2*r**3 - 43/6*r + 23/2*r**2 + 7/6 = 0. Calculate r.
1/3, 7
Factor 40/3*h + 14 - 2/3*h**2.
-2*(h - 21)*(h + 1)/3
Let c(n) = -8*n + 43. Suppose -3*v + 17 = 3*r - 1, -4*v - 21 = -5*r. Let g be c(r). Factor g - 2*f + 1/3*f**2.
(f - 3)**2/3
Let a(w) be the second derivative of 1/7*w**2 + 0*w**3 + w - 1/42*w**4 + 0. Factor a(h).
-2*(h - 1)*(h + 1)/7
Let p(y) = 13*y**4 + 8*y**3 - 4*y**2 + y + 18. Let n(x) = -8 - 5533*x**3 + 4 + x**2 - 3*x**4 + 0*x**2 + 5531*x**3. Let l(h) = -9*n(h) - 2*p(h). Solve l(z) = 0.
-2, -1, 0, 1
Let 64/15*h - 2/3*h**2 - 88/15 = 0. What is h?
2, 22/5
Let o(u) = -u**3 + 18*u**2 - 50*u + 75. Let x be o(15). Solve -36/13*c**5 + x*c + 16/13*c**3 + 8/13*c**2 + 0 - 18/13*c**4 = 0 for c.
-2/3, -1/2, 0, 2/3
Let n(r) = 2*r + 3. Let j be n(-5). Let v = j - -10. Suppose a**2 - 2*a**3 - 4*a**v - 7*a**2 + 9*a**3 = 0. What is a?
0, 2
Let z(o) be the third derivative of -1/75*o**5 + 1/150*o**6 + 0*o**4 + 0 + 0*o**3 + 2/525*o**7 - 1/420*o**8 + o**2 + 0*o. Factor z(j).
-4*j**2*(j - 1)**2*(j + 1)/5
Let w(j) be the third derivative of j**6/240 - 79*j**5/60 + 6241*j**4/48 - 177*j**2. Factor w(g).
g*(g - 79)**2/2
Factor -68/9*f**2 - 4/9*f**3 - 220/9 - 284/9*f.
-4*(f + 1)*(f + 5)*(f + 11)/9
Let m = 383 - 381. Factor 5/3*h - 1/3*h**m - 2.
-(h - 3)*(h - 2)/3
Let z(y) = -y**4 + 2*y**3 - y**2 + 1. Let b(n) = -8*n**4 + 10*n**3 + 2*n**2 + 10. Let l(o) = -2*b(o) + 20*z(o). Factor l(v).
-4*v**2*(v - 3)*(v - 2)
Let h(a) be the second derivative of -a**6/15 + 9*a**5/5 + 7*a**4/2 - 38*a**3/3 + 40*a. Let h(m) = 0. Calculate m.
-2, 0, 1, 19
Let r(a) = a**2. Let d(t) = -3*t**2 + 8*t + 10. Let s(l) = -2*d(l) - 2*r(l). Factor s(h).
4*(h - 5)*(h + 1)
Let u(s) be the first derivative of 0*s**4 + 1/10*s**6 + 0*s + 0*s**3 - 2/15*s**5 - s**2 - 6. Let d(c) be the second derivative of u(c). What is j in d(j) = 0?
0, 2/3
Let s(b) be the first derivative of b**3/2 - 15*b**2/4 + 9*b + 51. Find z, given that s(z) = 0.
2, 3
Suppose -3*n - 2*n - 5*k = -25, 4*k - 20 = 3*n. Let w(m) be the second derivative of 0 + 1/48*m**4 + 3*m + 1/24*m**3 + n*m**2. Factor w(v).
v*(v + 1)/4
Let r(m) = -6*m**2 + 14*m + 15. Let t(h) = -5*h**2 + 13*h + 14. Let g(a) = -4*r(a) + 5*t(a). Factor g(q).
-(q - 10)*(q + 1)
Let f(p) be the third derivative of p**8/1344 + p**7/210 - p**6/240 - p**5/30 + p**4/96 + p**3/6 - 75*p**2 - 1. What is k in f(k) = 0?
-4, -1, 1
Let m be (1408/240)/(-11)*-10. Factor -256/3 + 1/3*s**5 + 448/3*s - m*s**4 - 304/3*s**2 + 100/3*s**3.
(s - 4)**3*(s - 2)**2/3
Let f(p) be the first derivative of -p**6/540 + p**5/180 - 4*p**3 + 14. Let m(h) be the third derivative of f(h). Factor m(a).
-2*a*(a - 1)/3
Let b(c) be the third derivative of -c**9/15120 + c**8/1680 + c**7/1260 - c**6/60 - 2*c**5/15 + 19*c**2. Let v(x) be the third derivative of b(x). Factor v(t).
-4*(t - 3)*(t - 1)*(t + 1)
Let x(d) = d**3 + 4*d**2 - 3*d - 6. Let y be x(-3). Let g = 14 - y. Factor 4/7 + 2/7*j - 2/7*j**g.
-2*(j - 2)*(j + 1)/7
Determine d so that -4 + d**3 - 1/2*d**4 - d + 9/2*d**2 = 0.
-2, -1, 1, 4
Let u(w) be the first derivative of w**8/3360 - w**7/840 - w**6/240 + w**5/30 - w**4/12 - 4*w**3 - 6. Let b(a) be the third derivative of u(a). Factor b(x).
(x - 2)*(x - 1)**2*(x + 2)/2
Let c(a) be the second derivative of -a**4/96 - 5*a**3/24 - 21*a**2/16 - 298*a. Factor c(n).
-(n + 3)*(n + 7)/8
Let q(v) be the third derivative of v**7/140 - v**6/10 + 9*v**5/20 - v**4 + 5*v**3/4 + 79*v**2. Factor q(x).
3*(x - 5)*(x - 1)**3/2
Suppose -3*x = -2*x. Let q be 17 - (3 - (2 - x)). Factor m**4 - q*m**3 - 9*m**4 - 4*m**4 - 4*m**2.
-4*m**2*(m + 1)*(3*m + 1)
Let s = -24/7 - -151/42. Let c(w) be the third derivative of 0*w - s*w**3 + 11/24*w**4 - 121/240*w**5 + 0 + 7*w**2. Factor c(x).
-(11*x - 2)**2/4
Factor 1197 - 20*j**2 - 200*j - 1197 - 290*j**2 - 15*j**3.
-5*j*(j + 20)*(3*j + 2)
Suppose -2*d + 22 = 5*f, 7*f = 8*f + 3*d - 7. Suppose 0 = -h + 5*i - 22, -4*h - 3*i = -5*i - 2. Solve v - h*v - 8*v**2 - f*v + 2 = 0 for v.
-1, 1/4
Let k(i) be the third derivative of -11/28*i**4 + 3/245*i**7 + 0*i + 13*i**2 + 23/105*i**5 - 1/1176*i**8 - 1/14*i**6 + 3/7*i**3 + 0. Solve k(s) = 0 for s.
1, 3
Let i be 7/(-28)*-1 - 59/(-4). Factor 110*s**2 - 5*s**5 + 1503*s + 14*s**4 - 90*s**3 + 21*s**4 - 1568*s + i.
-5*(s - 3)*(s - 1)**4
Let c(j) be the second derivative of -j**7/357 - j**6/85 + j**5/85 + 2*j**4/17 + 8*j**3/51 + 23*j. Solve c(d) = 0.
-2, -1, 0, 2
Let n(c) be the second derivative of c**6/75 + c**5/25 - c**4/10 - 8*c**3/15 - 4*c**2/5 - 17*c. Find x, given that n(x) = 0.
-2, -1, 2
Suppose 0 = -8*y + 24 - 0. Let d(v) be the second derivative of -2*v - 1/2*v**y - 1/4*v**4 + 0 + 3*v**2. Find l such that d(l) = 0.
-2, 1
Let q(r) be the second derivative of 1/10*r**6 - 5/4*r**4 + 9/20*r**5 + 0*r**2 + 0 - 1/14*r**7 + r**3 + 8*r. Let q(l) = 0. Calculate l.
-2, 0, 1
Let z(m) be the third derivative of m**6/40 + 21*m**5/20 + 71*m**4/8 + 51*m**3/2 + 178*m**2. Factor z(j).
3*(j + 1)*(j + 3)*(j + 17)
Let -22*r**4 - 23*r**4 + r - 5*r**2 + 50*r**4 - 10*r**2 + 9*r = 0. What is r?
-2, 0, 1
Let v(t) be the third derivative of 4*t**7/1365 + 7*t**6/780 - t**5/26 - 4*t**4/39 + 20*t**3/39 - t**2 - 140*t. Let v(w) = 0. Calculate w.
-2, 1, 5/4
Let y = 9967 - 19931/2. Factor -3/2*p - y*p**5 - 3/2*p**4 + 3*p**2 + 3*p**3 - 3/2.
-3*(p - 1)**2*(p + 1)**3/2
Suppose -6*p = -3*p - 9. Suppose -2*z + 4*s + 20 = 0, -p*z + 2*s = -10 - 16. Factor -3*g**2 - z + g**2 + 4*g**2.
2*(g - 2)*(g + 2)
Let h(d) be the first derivative of 0*d - 3 - 1/18*d**3 - 1/12*d**2. Factor h(w).
-w*(w + 1)/6
Let a = -50 - -53. Solve 8 - 9*o**2 - 8 + 6*o - a*o = 0.
0, 1/3
Let i(w) be the first derivative of -w**4/5 - 2*w**3/3 - w**2/5 + 4*w/5 + 433. Factor i(n).
-2*(n + 1)*(n + 2)*(2*n - 1)/5
Let k be 24/24 + 5/3. Determine d, given that 2/3*d**2 + 8/3 - k*d = 0.
2
Let x be 5/12*3 + (-6)/(-8). Let x + 49 + 5*f**4 + 5*f**3 - 20*f - 30*f**2 - 11 = 0. What is f?
-2, 1, 2
Let l(k) = -k**3 + 4*k**2 + 121*k - 52. Let z be l(13). Factor z - 2/5*p**3 + 4/5*p**2 - 2/5*p.
-2*p*(p - 1)**2/5
Let y be 5 + 7 + -7 + (6 - (-618)/(-60)). Factor -2/5 + y*h**3 + 16/5*h - 29/10*h**2.
(h - 2)**2*(7*h - 1)/10
Let g(d) be the second derivative of -8*d**3 + 1 - 32*d**2 + 1/5*d**5 + 0*d**4 - 31*d. Find b, given that g(b) = 0.
-2, 4
Let j(a) be the first derivative of 4/3*a**3 + 3 + 4*a + 4*a**2. Factor j(x).
4*(x + 1)**2
Let f(n) = 2*n**3 + n**2 + 8*n + 6. Let q(c) = -c**3 - c**2 - c. Suppose 5*s = o + 7 + 1, 3*o - 3*s = 0. Let g(d) = o*f(d) + 6*q(d). Factor g(w).
-2*(w - 2)*(w + 1)*(w + 3)
Let d(n) be the first derivative of -n**6/42 - 3*n**5/35 + 5*n**4/28 + n**3/7 - 2*n**2/7 + 21. Determine p, given that d(p) = 0.
-4, -1, 0, 1
Determine k so that 17*k + 35*k**2 - 13*k - 30 + 11*k + 17*k - 30*k**3 + 3*k = 0.
-1, 2/3, 3/2
Let o(b) be the second derivative of -7*b**4/8 - 10*b**3 + 9*b**2 + 24*b. What is x in o(x) = 0?
-6, 2/7
Let p = 2726/9 + -302. Let d be 18/81*(-6 + 7). Factor -2/3 - d*x**2 - p*x.
-2*(x + 1)*(x + 3)/9
Let f(q) be the second derivative of q**7/840 - q**6/180 + q**5/120 - 7*q**3/3 + 2*q. Let z(m) be the second derivative of f(m). Factor z(u).
u*(u - 1)**2
Let o(l) = 2*l + 7. Let r be o(-6). Let s be r*(-2)/5 + 0. Solve p**2 + 0*p**2 + 2*p**3 + p**4 - 2*p - s*p**2 = 0.
-2, -1, 0, 1
Determine y so that 76/3 + 34/3*y - 2/3*y**2 = 0.
-2, 19
Let p(n) be the first derivative of n**7/1