. What is n?
-1, 0, 1
Let b(q) be the second derivative of 16*q**7/63 - q**5/10 - q**4/36 + 15*q. Solve b(h) = 0.
-1/4, 0, 1/2
Factor 0 - 2/7*y**5 + 0*y + 2/7*y**4 + 2/7*y**3 - 2/7*y**2.
-2*y**2*(y - 1)**2*(y + 1)/7
Suppose -3*q = -4*s - 3 + 11, -5*s = 2*q - 10. Let 0*m + 8/7*m**5 + 16/7*m**4 + 10/7*m**3 + 0 + 2/7*m**s = 0. Calculate m.
-1, -1/2, 0
Let q be (-1)/(-2)*(3 + 3). Factor -3*n**3 - 4*n**3 - 4*n**2 + 2*n**q + 7*n**3.
2*n**2*(n - 2)
Suppose 2/3*q + 0 + 4/3*q**2 + 2/3*q**3 = 0. What is q?
-1, 0
Let j(u) be the second derivative of -13*u**4/12 - 25*u**3/6 - 6*u**2 - 5*u. Let b(v) = 9*v**2 + 17*v + 8. Let z(y) = -7*b(y) - 5*j(y). Factor z(i).
2*(i + 1)*(i + 2)
Let p(q) be the third derivative of q**8/112 + q**7/35 - 3*q**6/40 - 2*q**5/5 - q**4/2 + 17*q**2. Factor p(o).
3*o*(o - 2)*(o + 1)**2*(o + 2)
Let l(b) = -22*b**3 + 42*b + 8. Let j(f) = -9*f**3 + 17*f + 3. Let c(v) = 12*j(v) - 5*l(v). What is p in c(p) = 0?
-1, 2
Let k(s) be the first derivative of s**7/1155 + s**6/330 - s**5/330 - s**4/66 + s**2/2 - 5. Let g(m) be the second derivative of k(m). Factor g(z).
2*z*(z - 1)*(z + 1)*(z + 2)/11
Let o(t) be the second derivative of t**7/630 - t**6/360 + t**2/2 - t. Let c(l) be the first derivative of o(l). Solve c(k) = 0.
0, 1
Let t = 251 + -1249/5. Let -2/5 - 4/5*k**2 + 2/5*k**5 + 4/5*k**3 - t*k + 6/5*k**4 = 0. Calculate k.
-1, 1
Factor -2/3 - 2/3*l + 4/3*l**2 - 2/3*l**4 - 2/3*l**5 + 4/3*l**3.
-2*(l - 1)**2*(l + 1)**3/3
Let g(b) be the first derivative of -b**3 + 1. Factor g(v).
-3*v**2
Let q(g) = 2*g**4 + 14*g**3 + 4*g**2 + 4*g. Let v(c) = -7*c + 2*c**4 - 13*c**3 + 3*c - 5*c**2 + 0*c**4 - 4*c**4. Let i(h) = -5*q(h) - 6*v(h). Factor i(m).
2*m*(m + 1)**2*(m + 2)
Let d(g) be the second derivative of g**6/6 + g**5/2 - 5*g**4/4 - 18*g. Let d(o) = 0. Calculate o.
-3, 0, 1
Suppose -f + 13 = -6*f + 4*p, 0 = -p + 2. Let l = 3 + f. Factor -2/7*z**l - 4/7*z - 2/7.
-2*(z + 1)**2/7
Let z be (-2)/6 - (-22)/30. Find w, given that 4/5*w + z*w**2 + 0 = 0.
-2, 0
Let k be 1 + ((-5)/(-7))/(-1). Suppose 2/7 - k*d + 2/7*d**3 - 2/7*d**2 = 0. What is d?
-1, 1
Let z be 1/(1/7) - 4. Let j(y) be the third derivative of y**2 + 2/9*y**z + 0*y + 1/36*y**4 + 0 - 1/90*y**5. Factor j(n).
-2*(n - 2)*(n + 1)/3
Let y(o) be the second derivative of -1/15*o**6 - 1/12*o**4 - o + 0 + 0*o**3 + 0*o**2 - 9/40*o**5. Factor y(u).
-u**2*(u + 2)*(4*u + 1)/2
Factor 24/5 + 51/5*h**2 + 9/5*h**3 + 66/5*h.
3*(h + 1)*(h + 4)*(3*h + 2)/5
Determine a so that -2/3*a**3 + 0 - 2/3*a**2 + 4/3*a = 0.
-2, 0, 1
Let a = 2159/5 - 431. Factor 4/5*k**2 + 0 + 0*k + a*k**3.
4*k**2*(k + 1)/5
Let i(d) be the second derivative of d**4/4 + 3*d**3/2 + 3*d**2 + 21*d. Solve i(v) = 0.
-2, -1
Let a(x) = 20*x**4 + 88*x**3 + 108*x**2 + 46*x + 12. Let r(w) = 19*w**4 + 88*w**3 + 108*w**2 + 47*w + 11. Let n(y) = -3*a(y) + 4*r(y). Solve n(g) = 0 for g.
-4, -1/2
Let c(d) = -6*d**3 + d**2 + 11*d - 6. Let l(n) = 3*n**3 - 6*n + 3. Let j(v) = -3*c(v) - 5*l(v). Find p such that j(p) = 0.
-1, 1
Let j(p) be the first derivative of 4*p**6/3 - 36*p**5/5 + 16*p**4 - 56*p**3/3 + 12*p**2 - 4*p + 3. Factor j(z).
4*(z - 1)**4*(2*z - 1)
Find o, given that -24/7*o - 57/7*o**2 + 12/7 - 3*o**3 = 0.
-2, -1, 2/7
Let i(d) = -6*d**3 + 7*d**2 - 6*d. Let q(v) = -5*v**3 + 6*v**2 - 5*v. Let r(n) = -4*i(n) + 5*q(n). Solve r(z) = 0 for z.
0, 1
Let j = -2/117 + 80/117. Let l(g) be the first derivative of -j*g**2 + 4/9*g**3 + 1 + 1/3*g. Suppose l(v) = 0. Calculate v.
1/2
Let c be (-12)/(2/(-1)) - 4. Let z(p) be the first derivative of -p**3 - c + 0*p - 3/4*p**4 - 1/2*p**2 - 1/5*p**5. What is v in z(v) = 0?
-1, 0
Find s such that 4/3 - 2/3*s**2 + 2/3*s = 0.
-1, 2
Let f(w) be the first derivative of w**6/18 - w**5/15 - w**4/6 + 2*w**3/9 + w**2/6 - w/3 + 6. Factor f(r).
(r - 1)**3*(r + 1)**2/3
Let 180*z**3 - 20*z**4 + 14580*z + 25*z**4 + 32805 - 659*z**2 + 3089*z**2 = 0. What is z?
-9
Suppose 14*s**2 - 8 - 154*s**5 + 152*s**5 - 2*s**3 - 6*s**4 + 4*s**3 = 0. What is s?
-2, -1, 1
Let c(x) be the third derivative of -x**8/2688 + x**7/560 - x**5/120 - 10*x**2. Suppose c(l) = 0. Calculate l.
-1, 0, 2
Let t(u) be the third derivative of u**5/15 + u**4/6 + 30*u**2. What is h in t(h) = 0?
-1, 0
Let k(d) be the second derivative of -d**6/10 + 6*d**5/5 - 23*d**4/4 + 14*d**3 - 18*d**2 + 29*d. What is j in k(j) = 0?
1, 2, 3
Let h be 92/28 + (-2)/7. Let r(t) be the first derivative of 2/5*t - 2/5*t**2 + 2/15*t**h - 3. What is w in r(w) = 0?
1
Let f(n) = -n**3 - 2*n**2 + 2*n. Let s be f(-3). Factor 3/5*i**s + 0 - 3/5*i + 0*i**2.
3*i*(i - 1)*(i + 1)/5
Factor 56*c**3 - 154*c**3 - c + 56*c**2 - 7*c.
-2*c*(7*c - 2)**2
Factor -12/5 - 8/5*s**2 + 2/5*s**3 - 22/5*s.
2*(s - 6)*(s + 1)**2/5
Let p be 26/(-4) + 3/6. Let g be p/((-2)/14*1). Let -g*l**2 + 36*l**4 + 6*l**3 + 6 - 2*l - 21*l**5 + 11*l + 6*l**3 = 0. Calculate l.
-1, -2/7, 1
Let l(o) be the first derivative of o**8/1680 - o**6/180 + o**4/24 + 2*o**3/3 + 2. Let g(b) be the third derivative of l(b). Solve g(m) = 0.
-1, 1
Let v be 28/98 + (-8)/(-70). Solve -8/5 - v*q**2 - 8/5*q = 0.
-2
Let g(x) = x**3 - 12*x**2 + 19*x + 13. Let v be g(10). Factor -3*b + 3/2*b**4 + 11/4*b**v - 2 + 1/4*b**5 + 1/2*b**2.
(b - 1)*(b + 1)*(b + 2)**3/4
Let y = 13 - 9. Factor 3 + 4*u**2 - 15*u - 20*u**3 + 21*u + 26*u + y*u**5 - 4*u**4 + 13.
4*(u - 2)**2*(u + 1)**3
Let y = 2/3 + 1/12. Let d be (-4)/20 - (-42)/10. Factor -3/4*f**d + 3/2*f + y - 3/2*f**3 + 0*f**2.
-3*(f - 1)*(f + 1)**3/4
Let j(m) be the third derivative of m**6/2700 + m**5/300 + m**4/90 + m**3/2 + 6*m**2. Let g(p) be the first derivative of j(p). Factor g(c).
2*(c + 1)*(c + 2)/15
Solve -3/2*c**3 - 18*c - 12 - 9*c**2 = 0.
-2
Determine c, given that 34/7*c**3 - 6*c**2 + 22/7*c - 4/7 - 10/7*c**4 = 0.
2/5, 1
Let z(w) = 4*w**2 + 2*w - 3. Let c(u) = -2*u - 4 + 3 - 3*u**2 - 2*u**2 + 5. Let f(x) = 3*c(x) + 4*z(x). Factor f(l).
l*(l + 2)
Factor 64 - c**2 - 69 + 6*c**2.
5*(c - 1)*(c + 1)
Let a(s) be the second derivative of s**7/98 - s**6/14 + 9*s**5/70 + s**4/14 - s**3/2 + 9*s**2/14 + s + 12. Factor a(m).
3*(m - 3)*(m - 1)**3*(m + 1)/7
Let x(p) be the third derivative of p**7/105 + p**6/12 + 3*p**5/10 + 7*p**4/12 + 2*p**3/3 - 2*p**2. Factor x(g).
2*(g + 1)**3*(g + 2)
Let s(b) be the first derivative of 3/4*b**4 + 0*b - 4/3*b**3 - 2*b**2 + 5. Factor s(g).
g*(g - 2)*(3*g + 2)
Let i(u) = -u + 10. Let h be i(9). Suppose -2*l + 1 = -4*n - h, 0 = -5*n - l + 15. What is g in g + 2 - n*g**2 - 8*g**2 + 9*g**2 = 0?
-1, 2
Let x(c) be the third derivative of 0*c - 1/12*c**3 - 1/240*c**5 - 1/32*c**4 - 9*c**2 + 0. Solve x(g) = 0.
-2, -1
Let r(x) = 36*x**3 - 36*x**2 - 36*x + 4. Suppose -2*c = 2*c - 12. Let n(z) = -7*z**3 + 7*z**2 + 7*z - 1. Let d(u) = c*r(u) + 16*n(u). Factor d(b).
-4*(b - 1)**2*(b + 1)
Let a(u) be the first derivative of -u**7/2100 + u**6/450 + 5*u**3/3 + 7. Let n(d) be the third derivative of a(d). Suppose n(m) = 0. Calculate m.
0, 2
Let x(z) = -z**3 - 7*z**2 + 6*z - 1. Let r be x(-8). Let g = -15 + r. Factor -2/3*y**2 + g*y**3 + 1/3*y**4 + 1/3 + 0*y.
(y - 1)**2*(y + 1)**2/3
Let n = 0 + 12. Suppose -2*q - h = -2*h - 8, -n = -3*q - 4*h. Factor 1/3*z**5 - 1/3*z**3 + 0 - 1/3*z**q + 0*z + 1/3*z**2.
z**2*(z - 1)**2*(z + 1)/3
Let s(h) = h**2 - 10. Let w be s(-5). Let u be (w/(-9))/(5/(-15)). Suppose 8/3*d**2 + 2/9*d**u + 26/9*d**3 + 0 + 8/9*d + 4/3*d**4 = 0. What is d?
-2, -1, 0
Let n(v) be the second derivative of -2*v**4/3 + 4*v**3/3 - v**2 + 5*v. Determine h so that n(h) = 0.
1/2
Let c(l) be the first derivative of 0*l**2 + 1/15*l**3 - 3 + 0*l. Suppose c(o) = 0. What is o?
0
Factor 15*y - 22 + y**2 + 2*y**2 + 4.
3*(y - 1)*(y + 6)
Let z(v) be the second derivative of v - 2/3*v**3 + 0 + 4/3*v**4 + 0*v**2 - 5/6*v**6 - 1/4*v**5. Suppose z(f) = 0. Calculate f.
-1, 0, 2/5
Let q(j) = j + 5. Let c be q(-3). Suppose 19 = 5*i + k, c*i + 0 - 3 = -5*k. Factor 1/4 + 1/4*u**i + 3/2*u**2 + u**3 + u.
(u + 1)**4/4
Factor 4*v**3 - 2*v**2 + 6*v**2 - 4*v**3 + 4*v**3.
4*v**2*(v + 1)
Let g be (-224)/(-420)*3/2. Factor -2/5 + 8/5*c - 2*c**2 + g*c**3.
2*(c - 1)**2*(2*c - 1)/5
Determine g so that -11*g + 3*g + 2*g**3 - 5*g**2 + 8 - 3*g**2 + 6*g**2 = 0.
-2, 1, 2
Let t = -2089/4 - -523. Let 1/2 - 1/4*c**2 + t*c - 1/4*c**4 - 3/4*c**3 = 0. Calculate c.
-2, -1, 1
Factor 423*t**2 - 5*t**3 - 423*t**2 - 5*t**5 + 10*t