 + 16, 0 = -3*x + 2*m + 13 - 1. Determine o so that o**2 + 0*o**3 - 3*o**3 - 5*o**2 + o + 10*o**x + 8*o**5 = 0.
-1, 0, 1/4, 1/2
Suppose -3 - 3 = -3*f. Let v(p) be the first derivative of -2/5*p - 2/15*p**3 + f + 2/5*p**2. What is r in v(r) = 0?
1
Let y = -2623/3 + 875. Suppose -2/3*p**2 - 4/3*p - y = 0. What is p?
-1
Let g(s) = -6*s**4 - 7*s**3 - 9*s**2 + 1. Let a(f) = 2*f**4 - 3*f**4 + 4*f**2 - 5*f**2 + 4*f**3 - 5*f**3. Let r(i) = -14*a(i) + 2*g(i). Factor r(u).
2*(u - 1)**2*(u + 1)**2
Let c(z) be the second derivative of z**5/30 - z**4/9 + z**3/9 - 4*z. Find d, given that c(d) = 0.
0, 1
Let q be ((-3)/2)/(-3)*0. Suppose -c + 7 - 3 = q. Find v such that 2/9*v + 2/9*v**c + 2/3*v**2 + 2/3*v**3 + 0 = 0.
-1, 0
Let r be (-1 + 3/12)/(6/(-4)). Find q, given that -r + 5/2*q - 2*q**2 = 0.
1/4, 1
Suppose -3*k = -7*k. Let v(q) = -q + 1. Let t be v(-1). Find d, given that k*d**t + d**2 - 2*d**2 + d = 0.
0, 1
Factor 2*i + 4*i**3 - 3*i + 8*i**2 + 5*i + 0*i**3.
4*i*(i + 1)**2
Let a(p) = p - 30. Let d be a(34). Factor -1/2*n - 1 - 1/2*n**d + 3/2*n**2 + 1/2*n**3.
-(n - 2)*(n - 1)*(n + 1)**2/2
Let m(w) = w**3 + 10*w**2 - 9*w - 6. Let p(j) = j**3 + j - 1. Let d(s) = m(s) + 4*p(s). Factor d(c).
5*(c - 1)*(c + 1)*(c + 2)
Let h(v) be the second derivative of -v**7/42 - v**6/6 - 3*v**5/10 + v**4/3 + 4*v**3/3 - 6*v. Solve h(c) = 0 for c.
-2, 0, 1
Let x be (2*3*-1)/(-2). Suppose -4*b = t - 22, t + 2*b + x*b = 27. Factor -t*k - 3*k**2 - 3*k**2 + 5*k**2.
-k*(k + 2)
Let n(k) be the third derivative of 1/420*k**6 - 4/21*k**3 - k**2 + 0*k**4 + 0*k + 0 + 1/70*k**5. Factor n(b).
2*(b - 1)*(b + 2)**2/7
Let m(v) be the second derivative of 1/90*v**4 - 1/5*v**2 - 2/45*v**3 + 8*v + 0. Factor m(a).
2*(a - 3)*(a + 1)/15
Let w(j) be the third derivative of 5*j**8/84 - j**7/6 - j**6/12 - 17*j**2. Factor w(h).
5*h**3*(h - 2)*(4*h + 1)
Factor 2/7*f - 2/7*f**2 + 0.
-2*f*(f - 1)/7
Let d = -1871/12 + 156. Let m(u) be the second derivative of 0 - u + d*u**3 + 1/84*u**7 + 0*u**6 + 0*u**2 - 1/20*u**5 + 0*u**4. Let m(g) = 0. Calculate g.
-1, 0, 1
Let c(v) be the first derivative of 0*v**4 + 0*v**2 + 3*v - 2*v**3 + 4 + 3/5*v**5. Find p, given that c(p) = 0.
-1, 1
Let k = -110 + 772/7. Determine l, given that -12/7*l**2 - k*l**4 - 2/7 - 8/7*l - 8/7*l**3 = 0.
-1
Factor -w**3 - 3*w - 10/3*w**2 - 2/3.
-(w + 1)*(w + 2)*(3*w + 1)/3
Let b = 9 - 4. Suppose 0 = t - b*t + 8. Suppose -2*v**t + 2*v**3 - 4*v**3 + 4*v**2 = 0. Calculate v.
0, 1
Let b be 3 + (-3 - 4/(-1344)). Let d(g) be the third derivative of 0*g**3 + 0*g**5 - b*g**8 + 1/210*g**7 + g**2 + 0*g**6 + 0 + 0*g + 0*g**4. Solve d(m) = 0.
0, 1
Let k(c) = -c**2 - c - 1. Let j(t) = -2*t**2 - 6*t - 5. Let i(p) = 2*j(p) - 2*k(p). Factor i(v).
-2*(v + 1)*(v + 4)
Factor -2/3 + 2/3*m**2 + 1/3*m - 1/3*m**3.
-(m - 2)*(m - 1)*(m + 1)/3
Let n(a) = -a**3 + 9*a**2 - 2. Let u be n(9). Let v be (-1)/(0 + 5/u). What is o in 2/5*o**3 - 1/5 + 4/5*o**2 - 3/5*o**4 - v*o = 0?
-1, -1/3, 1
Let g(b) = b**3 + b**2 + b + 3. Let y be g(0). Factor -s**y + 7*s - 6*s**2 + s**3 - 4*s + 3*s**3.
3*s*(s - 1)**2
Suppose -16*r = -12*r. Solve -1/3*k + 0*k**2 + r*k**4 + 2/3*k**3 + 0 - 1/3*k**5 = 0.
-1, 0, 1
Let f be (14/(-4))/((12/(-4))/6). Let 1/2 + 3*n**3 + 27/2*n**5 - f*n**2 - 1/2*n + 45/2*n**4 = 0. What is n?
-1, -1/3, 1/3
Let x(s) be the third derivative of -s**5/90 + s**3/9 + 12*s**2. Factor x(g).
-2*(g - 1)*(g + 1)/3
Suppose -10 = -4*m - 5*b, -5*b - 1 + 11 = 0. Let q(f) be the second derivative of m*f**2 + 2/3*f**3 + 1/6*f**4 + 0 + 2*f. Factor q(l).
2*l*(l + 2)
Factor 0*l - 38*l**2 - 9*l + 41*l**2.
3*l*(l - 3)
Let o(v) be the first derivative of 1/3*v**3 + 0*v + 0*v**4 - 1/360*v**6 - 1 - 1/120*v**5 + 0*v**2. Let x(j) be the third derivative of o(j). Factor x(w).
-w*(w + 1)
Let w(i) be the third derivative of -5*i**6/3 + 13*i**5/6 - 7*i**4/6 + i**3/3 + 12*i**2. Factor w(v).
-2*(4*v - 1)*(5*v - 1)**2
Let l(w) be the third derivative of w**8/3360 + w**7/560 + w**6/240 + w**5/240 - 5*w**3/6 + 4*w**2. Let t(q) be the first derivative of l(q). Factor t(b).
b*(b + 1)**3/2
Let -5*g**2 - 5/2*g + 5/2*g**3 + 5/4*g**4 + 15/4 = 0. What is g?
-3, -1, 1
Let l(h) = 16*h**2 - 8*h + 12. Let p(x) = x + 1. Let r(m) = -l(m) + 20*p(m). Factor r(c).
-4*(c - 2)*(4*c + 1)
Let z(d) be the second derivative of d**10/15120 - d**9/1890 + d**8/840 - d**4/3 - 3*d. Let k(f) be the third derivative of z(f). Let k(l) = 0. What is l?
0, 2
Factor 8/15*h - 8/15*h**2 + 0 + 2/15*h**3.
2*h*(h - 2)**2/15
Let i be (-1)/7 - 476/(-245). Let 3/5*r**2 + 6/5 + i*r = 0. What is r?
-2, -1
Let 6*g**2 + 4*g**4 - 7*g - 2*g - 7*g**4 + 8*g**3 - 3*g**4 + g**5 = 0. Calculate g.
-1, 0, 1, 3
Let x(f) be the first derivative of -f**4/12 + 2*f - 3. Let y(o) be the first derivative of x(o). Factor y(w).
-w**2
Factor 3*s**2 - 2*s**2 + 5*s + 4 + 0*s**2.
(s + 1)*(s + 4)
Let s(x) = -14*x**4 + 40*x**3 - 50*x**2 + 16*x. Let k(h) = 29*h**4 - 79*h**3 + 101*h**2 - 33*h. Let q(a) = 4*k(a) + 9*s(a). Factor q(l).
-2*l*(l - 3)*(l - 1)*(5*l - 2)
Let w(b) be the third derivative of b**5/20 - b**4/4 + b**3/2 - 13*b**2. Factor w(v).
3*(v - 1)**2
Solve 0*d + 3/4*d**4 + 3*d**3 + 0 + 3*d**2 = 0 for d.
-2, 0
Let k(h) be the second derivative of h**7/420 - h**6/90 + h**5/60 - h**3/2 + h. Let m(u) be the second derivative of k(u). Determine z so that m(z) = 0.
0, 1
Let i(w) be the second derivative of -w**7/42 + w**6/105 + w**5/20 - w**4/42 - 9*w. Suppose i(x) = 0. What is x?
-1, 0, 2/7, 1
Let s(l) be the first derivative of 122/15*l**3 + 32/5*l**2 - 16/5*l**5 + 8/5*l + 16/15*l**6 + 1 - 23/10*l**4. Solve s(i) = 0.
-1, -1/4, 2
Suppose -5*k + 5*l = -0*k - 5, 0 = 4*k + l - 14. Suppose 0 = -2*p - k*p + 10. Factor 8/3*d**p - 2/3*d + 0.
2*d*(4*d - 1)/3
Suppose 3*o + 3*v - 18 = 0, v = -5*o + 2*v + 36. Suppose f**2 - f**2 - 4*f**2 - 3 + o = 0. Calculate f.
-1, 1
Let u be 5 - (-1 - (-2 - 1)). Let h be (-39)/(-60) - u/12. Factor 2/5 + 2/5*a**3 - h*a - 2/5*a**2.
2*(a - 1)**2*(a + 1)/5
Suppose 1 + 2 + m - 1 + 0*m - m**2 = 0. Calculate m.
-1, 2
Let q = 6341/43150 - 6/863. Let f(m) be the third derivative of 0 + 6/25*m**5 - 1/10*m**4 + 0*m**3 - 21/200*m**6 + 0*m - q*m**7 + 4*m**2. Factor f(j).
-3*j*(j + 1)*(7*j - 2)**2/5
Factor 3*g**4 + 3*g + 0*g - 3*g**2 + g**3 - 4*g**3.
3*g*(g - 1)**2*(g + 1)
Let i(k) be the first derivative of k**3/15 - k**2/5 + k/5 - 6. Factor i(x).
(x - 1)**2/5
Determine p, given that -1/2*p**2 + p + 3/2 = 0.
-1, 3
Let h(r) = -r**2 - 8*r + 33. Let p be h(3). Factor p*u**2 + 0*u + 0 + 3*u**3 + 3/2*u**4.
3*u**3*(u + 2)/2
Let s be 48/21 - 2/7. Let g be 1 + -2 - (-12)/s. Factor -2*b**g + b**3 + b**5 - b**5 + b**3.
-2*b**3*(b - 1)*(b + 1)
Let r(w) be the first derivative of -w**4/12 - 14*w**3/9 + 54. Solve r(o) = 0.
-14, 0
Let q(p) be the second derivative of -p**4/30 - 2*p**3/5 - p**2 + 8*p. What is h in q(h) = 0?
-5, -1
Let d be 10*(0 + (-10)/25). Let q be (d/18)/(2/(-18)). Let 0 + 2/9*y**q + 0*y = 0. What is y?
0
Factor 2/7*c + 0 - 9/7*c**2 + 4/7*c**3.
c*(c - 2)*(4*c - 1)/7
Let h(v) be the second derivative of v**4/72 + v**3 + 27*v**2 - 11*v + 3. What is s in h(s) = 0?
-18
Suppose -76 = -47*k + 9*k. Factor -3 + 15/2*p + 3/2*p**3 - 6*p**k.
3*(p - 2)*(p - 1)**2/2
Let d be (0 - 0)/(-10 + 8). Let j(k) be the first derivative of 2/7*k - 4/21*k**3 + 0*k**4 + 2/35*k**5 + d*k**2 + 1. Let j(l) = 0. Calculate l.
-1, 1
Suppose -3*s + 2*x - 3*x = -5, -3*s - 4*x + 2 = 0. Let c(k) be the first derivative of 0*k + 1/3*k**s - 1 + 2/9*k**3. Factor c(z).
2*z*(z + 1)/3
Let r be 18/(-81) - 25/9. Let y(q) = 6*q**5 - q**4 - 25*q**3 - 38*q**2 - 35*q - 8. Let j(l) = -l**5 - l**4 + l. Let g(w) = r*y(w) - 21*j(w). Solve g(d) = 0.
-2, -1
Suppose 3*a + 6 = 5*a. Factor 2*k**a + 3 + 8*k + 4*k**3 - 5*k**3 + 1 + 5*k**2.
(k + 1)*(k + 2)**2
Let r(m) be the third derivative of m**5/4 + 5*m**4/24 + m**2. Factor r(t).
5*t*(3*t + 1)
Let n(h) be the third derivative of -2*h**7/105 + h**6/6 - 3*h**5/5 + 7*h**4/6 - 4*h**3/3 - 4*h**2. Factor n(j).
-4*(j - 2)*(j - 1)**3
Let o(p) be the second derivative of -p**4/8 - 15*p**3/8 + 3*p**2 + 47*p. Factor o(q).
-3*(q + 8)*(2*q - 1)/4
Let o(u) be the second derivative of -25*u**7/21 - 11*u**6/3 + 3*u**5/5 + 14*u**4/3 - 8*u**3/3 - 2*u + 54. What is w in o(w) = 0?
-2, -1, 0, 2/5
Let t(x) be the first derivative of x**4/2 - x**2 + 5. Factor t(u).
2*u