or b.
0, 1
Let i(y) be the third derivative of -y**7/525 + y**5/50 - y**4/30 - 12*y**2. Let i(a) = 0. What is a?
-2, 0, 1
Let v(c) be the third derivative of c**8/336 + 2*c**7/315 - c**6/45 - c**5/10 - 11*c**4/72 - c**3/9 + 13*c**2. Solve v(d) = 0.
-1, -1/3, 2
Suppose 8/7*w**3 + 2/7*w**4 + 2/7 + 8/7*w + 12/7*w**2 = 0. What is w?
-1
Let t(d) be the second derivative of -5*d**5/4 + 5*d**4/4 + 5*d**3/3 + 8*d. Factor t(j).
-5*j*(j - 1)*(5*j + 2)
Let h(n) = n**2 - 3*n - 1. Let d be h(4). Let u = -2/21 + 29/84. Solve -1/4*r**2 + 1/4*r + u - 1/4*r**d = 0 for r.
-1, 1
Let f be (-3)/(-12) + (-3)/(-4). Let l be 0*f/2*-1. Factor 1/4*r**2 + l + 0*r.
r**2/4
Let p be 0 + -1 + (0 - -7). Factor p*j**3 - 3*j - 2 - 3*j**3 + 4*j**4 - 3*j**4 + j**2.
(j - 1)*(j + 1)**2*(j + 2)
Let t(m) = m**3 - 7*m**2 - 6*m - 16. Let u be t(8). Factor 1/3*v**2 + 0*v + 1/3*v**3 + u.
v**2*(v + 1)/3
Let q(v) be the second derivative of -1/21*v**3 + 0 + 1/42*v**4 + 1/70*v**5 + 2*v - 1/7*v**2. Factor q(n).
2*(n - 1)*(n + 1)**2/7
Let v(b) be the first derivative of -64*b**5/5 - 36*b**4 + 44*b**3 - 35*b**2/2 + 3*b - 6. Find l, given that v(l) = 0.
-3, 1/4
Factor 12*j**4 + 53*j - 8*j**3 - 4*j**5 + 49*j - 90*j - 4 - 8*j**2.
-4*(j - 1)**4*(j + 1)
Solve 41 + 40 - 3*i**2 - 81 = 0.
0
Let d(c) be the second derivative of 0*c**2 + 0 + 1/30*c**6 - 1/12*c**4 - c + 0*c**3 + 0*c**5. Factor d(j).
j**2*(j - 1)*(j + 1)
Let w = -258 + 775/3. Factor -1/3*j**2 + 1/3 + w*j**3 - 1/3*j.
(j - 1)**2*(j + 1)/3
Factor l**2 + 2/3*l + 1/3*l**3 + 0.
l*(l + 1)*(l + 2)/3
Let y(b) be the second derivative of -1/8*b**2 + 4*b + 0 - 5/24*b**3 - 1/12*b**4. Determine i, given that y(i) = 0.
-1, -1/4
Factor 4/5*u + 3/5 + 1/5*u**2.
(u + 1)*(u + 3)/5
Let a = 343 - 1707/5. Factor a*o**2 - 2*o + 2/5.
2*(o - 1)*(4*o - 1)/5
Let z(f) be the third derivative of -5*f**8/1512 - f**7/135 + f**6/180 + 7*f**5/270 + f**4/54 - 4*f**2. Suppose z(s) = 0. What is s?
-1, -2/5, 0, 1
Suppose -2*u - 15 = -5*u. Let y(h) = -9*h**3 - 21*h**2 - 16*h - 5. Let m(l) = -4*l**3 - 10*l**2 - 8*l - 2. Let d(z) = u*m(z) - 2*y(z). Factor d(r).
-2*r*(r + 2)**2
Let x be 10/4*(-48)/(-15). Let 6 - 4*w + 8*w - 2*w**2 - x = 0. Calculate w.
1
Let t be (-14)/21*1/(-5). Let m = t + 7/60. Suppose m*k - 1/4*k**2 + 1/4 - 1/4*k**3 = 0. What is k?
-1, 1
Let m(g) be the third derivative of -g**6/240 - g**5/90 + g**4/144 + g**3/18 - 11*g**2. Factor m(y).
-(y + 1)**2*(3*y - 2)/6
Let g = 10/2711 + 86362/105729. Let d = g - 2/13. Determine s so that 2*s + d*s**3 + 2/3 + 2*s**2 = 0.
-1
Suppose 7*l = 2*l. Suppose l = 5*r - 9 - 1. Suppose -s**4 + 2*s**4 - s**5 + 2*s**4 - r*s**5 = 0. What is s?
0, 1
Let o(m) = 4*m**3 - 12*m**2 - 11*m - 10. Let p(l) = 3*l**3 - 11*l**2 - 11*l - 9. Let n(t) = 4*o(t) - 5*p(t). Factor n(g).
(g + 1)**2*(g + 5)
Suppose 8 - 6*z**3 - 6*z**3 + 8*z**2 + 18*z + 10*z = 0. What is z?
-1, -1/3, 2
Determine t, given that -2/13*t**3 + 6/13*t**2 + 2/13 - 6/13*t = 0.
1
Let k(z) be the third derivative of 0*z + 0 - 1/448*z**8 - 1/420*z**7 - 1/96*z**4 + 1/120*z**5 + 0*z**3 + 1/120*z**6 + 4*z**2. What is w in k(w) = 0?
-1, 0, 1/3, 1
Let f = 1/12 + 17/12. Factor -9/4 - f*q - 1/4*q**2.
-(q + 3)**2/4
Find j, given that 6*j**3 + 8 - 6*j**2 - 6*j + 0*j**4 + 5*j**4 - 6*j**4 - j**2 = 0.
-1, 1, 2, 4
Let a(z) be the first derivative of 3*z**6/40 - z**5/10 + z**4/18 - z**3 + 5. Let b(h) be the third derivative of a(h). Factor b(l).
(9*l - 2)**2/3
Suppose 2*v = -2*g + 8, -4*g + 6 = -2*g + v. Determine q, given that -3*q**2 + 4 + 5*q**2 - 2*q**2 - 2*q**g - 2*q = 0.
-2, 1
Factor -8*o - 5 - 4*o**3 + 33*o + 20 + 5*o**2 - o**3.
-5*(o - 3)*(o + 1)**2
Suppose -3 - 3*s - 11*s - 11*s - 5*s**2 - 17 = 0. Calculate s.
-4, -1
Factor 23/2*s**4 + 7/2*s**5 + s + 0 + 27/2*s**3 + 13/2*s**2.
s*(s + 1)**3*(7*s + 2)/2
Find o such that 1/10*o**2 + 2/5*o + 2/5 = 0.
-2
Let z(b) be the third derivative of -b**11/997920 - b**5/30 - b**2. Let c(v) be the third derivative of z(v). Factor c(k).
-k**5/3
Let o(a) = 3*a**2 + 17*a + 10. Let x(k) = k**2 - k. Let w(t) = o(t) + 2*x(t). Factor w(u).
5*(u + 1)*(u + 2)
Let r(m) be the first derivative of -1/36*m**6 - 5/24*m**4 + 2/15*m**5 - 3 + 0*m**2 + 0*m + 1/9*m**3. Determine o, given that r(o) = 0.
0, 1, 2
Let p = 24 + -18. Determine d, given that -6*d**5 + 14*d**5 + 4*d**4 - p*d**5 = 0.
-2, 0
Let p be (-8)/(-36) - (-50)/18. Let t = 1 - 1. Factor 0*c - 1/5*c**p - 1/5*c**2 + t.
-c**2*(c + 1)/5
Let h be (-2)/40*-6*1/54. Let z(l) be the third derivative of -l**2 - h*l**6 + 0*l**4 + 0 - 1/180*l**5 + 0*l - 1/630*l**7 + 0*l**3. Factor z(r).
-r**2*(r + 1)**2/3
Suppose 4*v - 1 = 3*m + 3, -m - 3*v + 16 = 0. Solve -y**2 + m*y + y**3 - 7*y + 4*y**2 + 5*y**3 = 0 for y.
-1, 0, 1/2
Let x(g) be the second derivative of -7/45*g**6 - 2/21*g**7 - 1/9*g**3 + 1/6*g**4 - 3*g + 1/10*g**5 + 0*g**2 + 0. Determine n, given that x(n) = 0.
-1, 0, 1/3, 1/2
Factor -2*d + 0*d + 2*d**2 + 3*d - 3*d.
2*d*(d - 1)
Let x(g) be the second derivative of -g**4/60 + g**3/6 - 2*g**2/5 + 39*g. Determine c, given that x(c) = 0.
1, 4
Let u = 40 - 39. Suppose -4*q = 5*r - 25, -r = -2*q - u - 4. Factor q*a - 1/5*a**3 + 2/5*a**2 + 0.
-a**2*(a - 2)/5
Let j(f) be the first derivative of f**8/13440 + f**7/6720 - f**6/2880 - f**5/960 - 3*f**3 - 9. Let x(c) be the third derivative of j(c). Factor x(d).
d*(d - 1)*(d + 1)**2/8
Suppose 4/7*v - 2/7*v**2 - 2/7 = 0. Calculate v.
1
Let i(t) be the first derivative of -t**3/15 + 3*t**2/5 + 50. Factor i(y).
-y*(y - 6)/5
Let l be ((-4 - -2) + 6)/1. Let a(j) = 10*j**2 - 4*j - 2. Let i(k) = 11*k**2 - 4*k - 2. Let v(p) = l*i(p) - 5*a(p). Let v(d) = 0. Calculate d.
-1/3, 1
Suppose -12/11*m**3 - 16/11*m**2 + 0 - 2/11*m**4 + 0*m = 0. Calculate m.
-4, -2, 0
Let k(d) = -1 + d**2 + 1 - 2*d - 2. Let a(j) = -10*j**2 - 2*j - 1. Let v be a(-1). Let q(p) = 3*p**2 - 9*p - 9. Let t(w) = v*k(w) + 2*q(w). Factor t(l).
-3*l**2
Let t(v) be the second derivative of v**5/20 - v**4/6 + v**3/6 + v. Suppose t(p) = 0. Calculate p.
0, 1
Let o = 30 - 89/3. Find z such that -1/3*z**4 + o*z**3 + 0 + 1/3*z**2 - 1/3*z = 0.
-1, 0, 1
Let j be (-3)/6 + (-35)/(-50). Let h(f) be the first derivative of 2 - 2/5*f + 4/15*f**3 + j*f**2. Factor h(b).
2*(b + 1)*(2*b - 1)/5
Factor -19/7*b**2 - 4/7*b - 3/7*b**3 + 12/7.
-(b + 1)*(b + 6)*(3*b - 2)/7
Let s(r) be the second derivative of -3*r + 1/2*r**3 + 1/2*r**2 + 1/20*r**5 + 1/4*r**4 + 0. Factor s(c).
(c + 1)**3
Let a(w) be the first derivative of 1/28*w**4 + 0*w + 0*w**3 - 1/14*w**2 - 2. Factor a(b).
b*(b - 1)*(b + 1)/7
Let j(f) be the second derivative of -f**7/210 + f**6/60 - f**5/60 - f**2/2 + 2*f. Let p(q) be the first derivative of j(q). Factor p(t).
-t**2*(t - 1)**2
Suppose 4*y + w - 4 = 0, -y + 3*y + 5*w - 20 = 0. Let x(n) be the first derivative of 1/10*n**5 + 0*n + 0*n**3 + y*n**2 - 1/4*n**4 + 3. Factor x(c).
c**3*(c - 2)/2
Let g = -4 - -6. Suppose l = 2*p - 6, -g*p + 10 = -2*l + 3*l. Find w such that 8*w**3 + 2*w**p + 3 - 3 + 10*w**2 + 4*w = 0.
-2, -1, 0
Let h(y) be the third derivative of y**5/15 - y**4/3 + 2*y**3/3 + 24*y**2. Factor h(s).
4*(s - 1)**2
Let q(p) = 4*p**3 - 8*p**2 + 2*p - 6. Let u(h) = -5*h**3 + 9*h**2 - 3*h + 7. Let z(i) = -6*q(i) - 5*u(i). Factor z(y).
(y + 1)**3
Let q = 56/159 - 1/53. Factor 0 + 1/3*i**3 + q*i**2 - 1/3*i - 1/3*i**4.
-i*(i - 1)**2*(i + 1)/3
Suppose 46 = -5*k + 4*b - 72, -3*k + 5*b - 76 = 0. Let w = 24 + k. Factor -3/4 + 0*a + 3/4*a**w.
3*(a - 1)*(a + 1)/4
Let t = -1776/7 + 254. Factor 4/7*l**2 + t*l - 2/7.
2*(l + 1)*(2*l - 1)/7
Suppose 0 = 8*y - 4*y + 14008. Let p = 24590/7 + y. Solve 2/7 + 24/7*d**5 - 74/7*d**4 + p*d**3 - 24/7*d**2 - 4/7*d = 0.
-1/4, 1/3, 1
Let y(u) be the second derivative of -5*u**9/3024 + u**8/140 - 3*u**7/280 + u**6/180 + u**3/6 - u. Let l(r) be the second derivative of y(r). Solve l(w) = 0.
0, 2/5, 1
Let b be 18/15*10/3. Suppose -b*p - w + 6 = -7, 2*p + 21 = 5*w. Factor -2 - 3*x - x - 2*x**2 + 0*x**p.
-2*(x + 1)**2
Let i(q) be the first derivative of -q**2/2 - 5*q - 3. Let d be i(-7). Solve u**5 - 3*u**2 + 5*u**2 + 0*u - d*u**4 - u = 0 for u.
-1, 0, 1
Let a(s) be the third derivative of s**5/480 + s**4/96 - 23*s**2. Determine q so that a(q) = 0.
-2, 0
Let f = 71/220 + -4/55. Let 1/4*t**4 + t**3 + t + 3/2*t**2 + f = 0. What is t?
-1
Suppose -3*h - h = 0. Factor 12 + 1 + 12*x - 1 + 3*x**2 + h.
3*(x 