derivative of i**8/168 + 4*i**7/105 + i**6/20 - 2*i**5/15 - i**4/3 - 11*i**2. Solve j(x) = 0.
-2, -1, 0, 1
Let r be ((15/(-50))/((-6)/(-16)))/(-1). Factor -r*i + 4/5 + 1/5*i**2.
(i - 2)**2/5
Let b(f) be the third derivative of -f**8/672 - f**7/105 - f**6/60 - 2*f**2. Find u, given that b(u) = 0.
-2, 0
Determine i, given that -37/10*i**2 - 13/5*i**3 + 97/10*i**4 + 0 - 3/5*i - 14/5*i**5 = 0.
-2/7, -1/4, 0, 1, 3
Let m(z) = z**3 - 7*z**2 - 18*z + 2. Let q be m(9). Find l such that 2/5*l**3 - 2/5 + 2/5*l**q - 2/5*l = 0.
-1, 1
Suppose n - 7*n = 0. Let h(y) be the third derivative of -1/210*y**5 + 1/140*y**6 + n*y - 2*y**2 + 1/1176*y**8 - 1/245*y**7 + 0 + 0*y**4 + 0*y**3. Factor h(b).
2*b**2*(b - 1)**3/7
Let w(d) be the second derivative of -d**7/42 + d**5/5 - d**4/6 - d**3/2 + d**2 + 2*d. Factor w(a).
-(a - 1)**3*(a + 1)*(a + 2)
Let y(j) be the second derivative of -4*j + 1/40*j**5 + 1/6*j**3 - 1/8*j**4 + 0 + 0*j**2. Factor y(x).
x*(x - 2)*(x - 1)/2
Let v(a) = 2*a**4 - 9*a**3 + 2*a**2 + 5*a - 5. Let n(d) = d**4 - 4*d**3 + d**2 + 2*d - 2. Let b(z) = 5*n(z) - 2*v(z). Factor b(k).
k**2*(k - 1)**2
What is a in 3*a**3 - 7*a**3 + 308*a**4 - 309*a**4 - 5*a**2 + a**2 = 0?
-2, 0
Let g = -4417 - -13409/3. Let p = g + -52. Factor -p*r**3 - 4/3*r**2 - 2/3*r + 0.
-2*r*(r + 1)**2/3
Let y(m) = -4*m + 3. Let l be y(-8). Let i = l + -20. Factor 24*t + 51*t**2 - 16 - i*t**2 + 11*t**3 - t**3.
2*(t + 2)**2*(5*t - 2)
Let o(f) be the first derivative of f**6/12 + f**5/2 + 5*f**4/4 + 5*f**3/3 + 5*f**2/4 + f/2 - 12. Factor o(n).
(n + 1)**5/2
Let a(v) be the first derivative of -v**4/2 - 2*v**3 + 8*v + 4. Factor a(z).
-2*(z - 1)*(z + 2)**2
Let i(k) be the first derivative of k**6/120 + k**5/20 + k**4/8 + 4*k**3/3 - 1. Let u(f) be the third derivative of i(f). Factor u(b).
3*(b + 1)**2
Let q(o) be the third derivative of o**5/90 + o**4/12 - 4*o**3/9 + 15*o**2. Let q(z) = 0. Calculate z.
-4, 1
Let i = 205/4 + -51. Factor -1/4*b**3 + 1/4*b + i*b**2 - 1/4.
-(b - 1)**2*(b + 1)/4
Let m(z) be the second derivative of -3*z**5/20 + 3*z**4/4 + 2*z**3 + 7*z. Solve m(j) = 0.
-1, 0, 4
Let t = -372 + 376. Factor -16/5*a**3 - 48/5*a - 44/5*a**2 - 18/5 - 2/5*a**t.
-2*(a + 1)**2*(a + 3)**2/5
Let k(m) be the first derivative of m**2 + 8 + 0*m - 8/3*m**3. Factor k(u).
-2*u*(4*u - 1)
Let i(y) = -y**5 + y**4 + y**2 + y. Let t(p) = -12*p**4 + 32*p**3 - 4*p**2 - 4*p. Let u(w) = -4*i(w) - t(w). Let u(g) = 0. What is g?
-4, 0, 2
Let c = 10 - 7. Find q such that 3*q**3 - q**2 - 40*q**4 - q**3 - 10*q**3 - 48*q**5 - 3*q**c = 0.
-1/3, -1/4, 0
Let g(n) = -2*n**2 + 8*n - 3. Suppose 3*t - 4 = 7*t. Let r(v) = -v + 4. Let k(z) = 1. Let i(a) = -3*k(a) + r(a). Let m(x) = t*g(x) - 5*i(x). Factor m(w).
(w - 2)*(2*w + 1)
Suppose 4*s + 60 = 3*h - 0*s, -2*h - s + 40 = 0. Suppose -4*u = -3*g - 16, -4*u + h = -2*g + u. Find v such that 0*v**3 + 1/3*v**2 + g*v + 0 - 1/3*v**4 = 0.
-1, 0, 1
Let 9*m - 5*m + 8*m - 4*m**3 - 8*m**2 = 0. Calculate m.
-3, 0, 1
Let w(a) be the third derivative of -a**7/315 + a**5/30 - a**4/18 + 50*a**2. Factor w(b).
-2*b*(b - 1)**2*(b + 2)/3
Suppose -8 + 2 = -j. Let s = 6 - j. Factor -18*b**3 + 10*b**4 - 3*b**5 - 4*b + 0 + b**5 + s + 14*b**2.
-2*b*(b - 2)*(b - 1)**3
Let g(j) be the second derivative of -j**4/20 - j**3/15 - 5*j. Find f such that g(f) = 0.
-2/3, 0
Let u(c) be the first derivative of -1/2*c**3 - 1 + 1/2*c**2 + 1/8*c**4 + 0*c. Solve u(z) = 0 for z.
0, 1, 2
Let x be ((-3)/5)/((-216)/240). What is m in 4/3*m + x + 2/3*m**2 = 0?
-1
Let o(g) be the first derivative of 2*g**5/5 - g**4/2 - 2*g**3/3 + g**2 + 12. Factor o(p).
2*p*(p - 1)**2*(p + 1)
Let n be 2*(-3 + 1) - (-115)/10. Solve -3/2*l + 1 - n*l**3 - 2*l**4 - 8*l**2 = 0 for l.
-2, -1, 1/4
Let d(u) be the first derivative of -1/6*u**2 + 4/9*u**3 - 1/3*u**4 - 2 + 0*u. Find v, given that d(v) = 0.
0, 1/2
Let i(l) = -l**3 - 4*l**2 + 5*l + 7. Let d be i(-5). Factor 5*x**4 + 4*x**3 - 3*x**2 - 1 + 0 - 11*x**3 + d*x - 1.
(x - 1)**2*(x + 1)*(5*x - 2)
Suppose 4*s = -z + 1 - 6, 0 = -z - 5*s - 6. Let l = z + 4. Factor -2*x**3 - 2*x**l + x**2 + 2*x**4 - 3*x**2 - 4*x**4.
-2*x**2*(x + 1)**2
Let t be (-26)/(-80)*162/225. Let k = t + 2/125. Find n, given that 0 + 0*n**3 - 1/2*n**4 + 1/2*n**2 + k*n**5 - 1/4*n = 0.
-1, 0, 1
Let v(c) be the first derivative of 2*c**3/57 - 2*c**2/19 + 2*c/19 + 3. Factor v(f).
2*(f - 1)**2/19
Let b(r) be the second derivative of 0 + 0*r**3 + 8*r + 1/42*r**4 + 0*r**2 + 0*r**5 - 1/105*r**6. Solve b(y) = 0 for y.
-1, 0, 1
Factor -6*n**2 + 2*n**4 - n + 4*n**3 + n.
2*n**2*(n - 1)*(n + 3)
Let t(v) = v - 3. Let q be t(8). Let w be (q - 2/1) + 0. Let -2/7*f**w + 2/7*f + 0*f**2 + 0 = 0. Calculate f.
-1, 0, 1
Let v(a) be the first derivative of -a**4/24 + a**3/9 - a**2/12 + 19. Solve v(y) = 0 for y.
0, 1
Let n(g) be the second derivative of g**6/75 + g**5/25 - g**4/30 - 2*g**3/15 - 33*g. Factor n(f).
2*f*(f - 1)*(f + 1)*(f + 2)/5
Factor k**3 - 4*k**4 - 4*k**3 - 3*k**4 + 4*k**4.
-3*k**3*(k + 1)
Factor -14/11*t + 2/11*t**2 + 12/11.
2*(t - 6)*(t - 1)/11
Let k(r) = r**2 - 11*r - 8. Let w be k(10). Let b = w - -73/4. Factor -b*j**2 + 0 + 1/4*j.
-j*(j - 1)/4
Suppose -3*p + 30 = 3. Suppose -d + p - 7 = 0. Factor 0*f + 0 + 3/2*f**3 + 1/2*f**5 - 3/2*f**4 - 1/2*f**d.
f**2*(f - 1)**3/2
Let t(c) = -6*c**2 - 6*c. Let x(h) = -h**3 + 30*h**2 + 30*h - 1. Let r(n) = -22*t(n) - 4*x(n). Determine u, given that r(u) = 0.
-1
Let s(p) = p**3 - 5*p**2 + 4*p. Let k(c) be the first derivative of c**4/4 - 2*c**3 + 5*c**2/2 - 2. Let j(n) = 5*k(n) - 6*s(n). What is v in j(v) = 0?
-1, 0, 1
Let l(y) = -7*y**4 - 8*y**3 - 6*y**2 + 8*y - 5. Let c(w) = w**4 + w**3 + w**2 - w + 1. Let x(u) = 6*c(u) + l(u). Find j such that x(j) = 0.
-1, 1
Factor -2/19*i**5 + 6/19*i**3 + 0*i + 0 + 4/19*i**2 + 0*i**4.
-2*i**2*(i - 2)*(i + 1)**2/19
Let w(b) be the first derivative of b**7/21 + 3*b**6/35 - 6*b**5/35 - 2*b**4/21 - 3*b - 2. Let g(v) be the first derivative of w(v). What is u in g(u) = 0?
-2, -2/7, 0, 1
Suppose 0 = 5*y - 4 - 1. Let b be 3 + 0 + (y - 0). Solve -4/7*o**b + 0*o + 4/7*o**2 + 0 - 2*o**3 + 2*o**5 = 0 for o.
-1, 0, 2/7, 1
Let z(g) be the third derivative of g**7/210 + g**6/30 - g**5/30 - g**4/2 + 3*g**3/2 + 42*g**2. Let z(m) = 0. What is m?
-3, 1
Let c = 127 + -633/5. Let b(i) be the first derivative of 2/5*i**2 + 4 - 2/15*i**3 - c*i. Factor b(f).
-2*(f - 1)**2/5
Let k(o) be the second derivative of -3*o**5/190 - 11*o**4/114 - 4*o**3/19 - 4*o**2/19 - o. Solve k(n) = 0.
-2, -1, -2/3
Let d = -36 + 40. Let f be 3/d - (-5892)/336. Determine v so that -104/7*v**3 - 94/7*v**2 - 24/7*v - 2/7 + f*v**5 + 96/7*v**4 = 0.
-1, -1/4, 1
Let a be (-7 + (-1064)/(-144))*8/14. Find t, given that 0 - 2/9*t + a*t**2 = 0.
0, 1
Let x(f) be the third derivative of f**5/240 + f**4/12 + 2*f**3/3 + 23*f**2. Suppose x(s) = 0. Calculate s.
-4
Suppose 0 = 57*x - 39*x - 36. Factor 1/3*k + 0 + 1/3*k**x.
k*(k + 1)/3
Determine p so that 0*p + 0*p**2 + 0*p**4 - 1/3*p**5 + 0 + 1/3*p**3 = 0.
-1, 0, 1
Let v be -2 + (-1 - -6) + -1. Let o(f) be the second derivative of 0*f**v + 2*f - 1/9*f**3 + 5/36*f**4 + 0 - 1/20*f**5. Factor o(i).
-i*(i - 1)*(3*i - 2)/3
Let l be 40/15 - 2/(-6). Let c be 6/(-4)*(-1)/l. Factor 1/4*g + 1/4*g**3 + 0 + c*g**2.
g*(g + 1)**2/4
Let k(j) be the third derivative of -1/24*j**4 - 11*j**2 + 1/70*j**7 + 0*j + 0*j**3 + 1/168*j**8 - 1/120*j**6 - 1/20*j**5 + 0. Factor k(y).
y*(y - 1)*(y + 1)**2*(2*y + 1)
Let u(r) be the third derivative of r**5/30 - r**4/6 - 22*r**2. Suppose u(t) = 0. Calculate t.
0, 2
Let u(f) = f**3 + f**2 - 3*f + 11. Let k be u(0). Suppose g - k = -9. Factor -2/11 - 4/11*o - 2/11*o**g.
-2*(o + 1)**2/11
Let y(i) = 2*i**2 + 11*i + 5. Let d(p) = -1. Let x(v) = -6*d(v) - y(v). Let m(f) = 2 - 2 - f**2 + 0 - 5*f. Let k(q) = 5*m(q) - 2*x(q). What is l in k(l) = 0?
-2, -1
Let b = -131/5 - -463/15. Solve -10/3*k**4 + 6*k**3 + 4/3*k - b*k**2 + 0 + 2/3*k**5 = 0 for k.
0, 1, 2
Let c(m) be the third derivative of -m**2 + 1/270*m**5 + 0*m - 1/1512*m**8 - 1/180*m**6 + 0*m**3 + 0*m**4 + 1/315*m**7 + 0. Factor c(y).
-2*y**2*(y - 1)**3/9
Suppose -22*i**3 - 52 + 7*i**5 - 4*i**4 - 3*i + 51 + 17*i**5 + 5*i + 9*i**2 = 0. Calculate i.
-1, -1/3, 1/2
Let y be (0 + 0)/(1 - 0). Let d be (1 - 2)/((-2)/6). Let r**d - r**4 - 3 + 3*r**2 - r + 1 + y*r**3 = 0. What is r?
-1, 1, 2
Let m 