Factor -4 - 3*o**2 + 6*o + 1/2*o**t.
(o - 2)**3/2
Let m(a) be the first derivative of -12*a**5/5 - 39*a**4/4 - 11*a**3 - 3*a**2 + 45. Determine b, given that m(b) = 0.
-2, -1, -1/4, 0
Let u(t) be the second derivative of t**7/315 - 17*t**6/360 + t**5/15 + t**4/6 - 9*t. Let r(d) be the third derivative of u(d). Factor r(p).
2*(p - 4)*(4*p - 1)
Let c(u) be the second derivative of u**10/136080 + u**9/22680 - u**7/2835 + u**4/12 + u. Let p(t) be the third derivative of c(t). Let p(y) = 0. What is y?
-2, 0, 1
Let t(m) be the second derivative of -m**6/6 + m**5/2 - 5*m**3/3 + 5*m**2/2 - 6*m. Factor t(q).
-5*(q - 1)**3*(q + 1)
Suppose -7 = 4*x - 5*g - 43, 3*x + 5*g = -8. Find m such that 2/11*m - 2/11*m**x + 0 - 2/11*m**3 + 2/11*m**2 = 0.
-1, 0, 1
Let j(w) be the third derivative of w**6/30 - 2*w**5/15 + w**4/6 - 32*w**2. Let j(v) = 0. Calculate v.
0, 1
Let n(v) = v - 2. Let f be n(4). Let q be 14/(-6)*f/(-7). Factor 0 + 0*b + 2/3*b**3 - q*b**2.
2*b**2*(b - 1)/3
Let o(c) be the second derivative of -c**5/40 - c**4/8 - c**3/6 - 7*c. Determine m so that o(m) = 0.
-2, -1, 0
Let c(i) be the third derivative of 1/168*i**8 + 0 + 0*i + 0*i**4 + 0*i**5 + 0*i**3 + 3*i**2 + 2/105*i**7 + 1/60*i**6. Factor c(r).
2*r**3*(r + 1)**2
Factor -3*x + 19*x**3 - 4 + 9*x - 21*x**3.
-2*(x - 1)**2*(x + 2)
Let y = 1 - -3. What is v in -v - v**5 + 2*v**3 - 2 + 0*v**3 + 4*v**2 - 2*v**y + 0*v**3 = 0?
-2, -1, 1
Solve 5/4*v + v**2 + 1/2 + 1/4*v**3 = 0 for v.
-2, -1
Suppose 3*p + 4 = 3*c + 1, -3*p = 2*c - 12. Solve 2*q + q**3 - 4 + 4 + c*q**2 = 0.
-2, -1, 0
Let g(t) be the third derivative of 0*t + 0*t**3 - 1/3*t**4 - 2/15*t**6 + 5*t**2 + 1/3*t**5 + 0 + 2/105*t**7. Factor g(l).
4*l*(l - 2)*(l - 1)**2
Find k, given that -20*k**4 + 13*k**4 + 8*k**4 = 0.
0
Let z be (-12)/(-8) - (-7)/2. Let c(s) be the first derivative of -2/5*s + 4/25*s**z + 1/2*s**4 - 3 - 1/5*s**2 + 2/5*s**3. Solve c(x) = 0.
-1, 1/2
Let o(n) = 24*n**3 - n - 4 + n - 10*n**2 + 4*n. Let w(t) = -5*t**3 + 2*t**2 - t + 1. Let b = -3 + 17. Let c(a) = b*w(a) + 3*o(a). Factor c(f).
2*(f - 1)**2*(f + 1)
Let j = 559 + -557. Factor -1/2 + 1/2*q**j - 1/4*q**3 + 1/4*q.
-(q - 2)*(q - 1)*(q + 1)/4
Let b(n) = 2*n**4 + 16*n**3 - 72*n**2 + 3*n + 432. Let g(v) = 11*v**4 + 96*v**3 - 432*v**2 + 17*v + 2592. Let l(t) = -34*b(t) + 6*g(t). What is p in l(p) = 0?
-2, 6
Let p(c) = 4*c**2 - 6*c + 2. Let s(o) = -3*o**2 + 5*o - 2. Let z(u) = 4*p(u) + 3*s(u). Factor z(a).
(a - 1)*(7*a - 2)
Suppose x = -5*x. Factor x*h + 1/4*h**2 + 0.
h**2/4
Let y = 32 - 32. Let u(c) be the third derivative of y*c**3 - 1/24*c**4 + 1/120*c**6 + 0*c + 0 + 3*c**2 + 0*c**5. Find v, given that u(v) = 0.
-1, 0, 1
Let l(j) be the first derivative of j**4/2 + 4*j**3/3 + j**2 - 31. Factor l(b).
2*b*(b + 1)**2
Suppose -2 = 2*i + 2*h + 2, 0 = 2*i + 5*h + 19. Let f be -1 - (-2 + (-6)/i). Factor 2*z**4 - 2*z**3 - 1 + 4*z**f - 2*z - z**4.
(z - 1)*(z + 1)**3
Let n(x) = x**2 - 6*x - 16. Let s be n(8). Let o(m) be the second derivative of -1/30*m**6 + 0*m**2 - 4/3*m**3 + s - 3/10*m**5 - m**4 + m. Solve o(b) = 0.
-2, 0
Let c(r) be the first derivative of 0*r + 0*r**3 + 9 - 1/6*r**2 + 1/12*r**4. Determine p so that c(p) = 0.
-1, 0, 1
Let v(j) = j**3 - 4*j**2 + 5*j - 2. Let u = 1 - -2. Let o be v(u). Factor -o*r**3 - r**2 - r**2 - r + 3*r**3.
-r*(r + 1)**2
Let o(a) be the third derivative of a**7/1680 + a**6/480 - a**4/96 + a**3 - 6*a**2. Let c(q) be the first derivative of o(q). Solve c(m) = 0 for m.
-1, 1/2
Let u(r) be the third derivative of r**6/30 + r**5/15 - r**4/3 - 48*r**2 - r. Factor u(i).
4*i*(i - 1)*(i + 2)
Suppose 7 + 11 = 2*d. Let h = d - 7. Factor -1/2*r**4 - 3/2*r**h + 0 - 1/2*r - 3/2*r**3.
-r*(r + 1)**3/2
Let r(b) be the second derivative of -9*b**5/130 + b**4/13 - b**3/39 - 6*b. Factor r(j).
-2*j*(3*j - 1)**2/13
Suppose -6*p - 4 = -10*p. Let r be 12/48 + p/4. Factor -r*i - i**2 - 1/2*i**3 + 0.
-i*(i + 1)**2/2
Factor 0 + 1/2*r + 1/4*r**2.
r*(r + 2)/4
Find c, given that 4 - 2*c**2 - 2*c + 3*c - 3*c = 0.
-2, 1
Let o(w) = -29*w**4 - 3*w**3 + 2*w**2 - 2*w. Let s(p) = -88*p**4 - 9*p**3 + 6*p**2 - 7*p. Let y(c) = 7*o(c) - 2*s(c). Factor y(j).
-j**2*(3*j + 1)*(9*j - 2)
Let w(h) be the first derivative of h**6/18 + 4*h**5/15 + h**4/3 - 2*h**3/9 - 5*h**2/6 - 2*h/3 + 10. Factor w(p).
(p - 1)*(p + 1)**3*(p + 2)/3
Let r(n) = -3*n**3 + 24*n**2 + 21*n - 24. Let c(w) = w**3 - 6*w**2 - 5*w + 6. Suppose j + 6 - 15 = 0. Let l(z) = j*c(z) + 2*r(z). Suppose l(a) = 0. Calculate a.
-1, 1, 2
Let n(b) = -3*b**2 + 2*b. Let t(p) = 2*p**2 - p. Let i(r) = 6*n(r) + 11*t(r). Factor i(k).
k*(4*k + 1)
Let j(h) = -h - 6. Let n be j(-8). Suppose 2/3*y + 1/3*y**n + 1/3 = 0. What is y?
-1
Let l(c) be the third derivative of -c**6/120 + c**5/84 + 2*c**4/21 + 2*c**3/21 + 8*c**2. Factor l(v).
-(v - 2)*(v + 1)*(7*v + 2)/7
Let t(x) = 5*x**2 - 5*x + 13. Let y(h) = 2*h**2 - 2*h + 6. Let k(s) = 6*t(s) - 13*y(s). Factor k(g).
4*g*(g - 1)
Let m(h) be the second derivative of -9*h**5/20 - 7*h**4/2 - 32*h**3/3 - 16*h**2 + 33*h + 2. Factor m(l).
-(l + 2)*(3*l + 4)**2
Let a(b) be the first derivative of 2 + 2/3*b**3 + b**2 + 3*b + 1/6*b**4. Let t(g) be the first derivative of a(g). Factor t(x).
2*(x + 1)**2
Let c = -13 - -8. Let j be (-22)/c + (-4)/10. Let 2*i**j + 6*i**3 - 4*i - 4*i + 0*i**3 = 0. Calculate i.
-2, 0, 1
Factor 52 + 4*a**2 - 36 + 18*a - 2*a.
4*(a + 2)**2
Let h(u) be the second derivative of -u**9/2880 - 23*u**8/8960 - u**7/560 + 5*u**4/12 + 8*u. Let g(w) be the third derivative of h(w). Factor g(v).
-3*v**2*(v + 3)*(7*v + 2)/4
Let q(i) be the third derivative of -i**8/672 - i**7/280 + i**6/480 + i**5/80 + i**4/96 - 10*i**2. Determine p, given that q(p) = 0.
-1, -1/2, 0, 1
Let q(o) be the third derivative of -o**5/60 - o**4/6 - 2*o**3/3 - 20*o**2. Factor q(h).
-(h + 2)**2
Suppose -4 + 0*w - 5*w - w - w**2 + 2*w = 0. What is w?
-2
Let q(z) = -z**2 + 1. Let r(o) = 5*o**2 - 2*o + 1. Let h(w) = 4*q(w) + r(w). Let a(x) = -2*x**2 + 4*x - 9. Let d(c) = -4*a(c) - 7*h(c). Factor d(s).
(s - 1)**2
Factor 0 - 1/3*p**2 + 1/3*p**4 - 1/6*p**3 + 1/6*p.
p*(p - 1)*(p + 1)*(2*p - 1)/6
Let d(z) be the second derivative of z**7/21 + z**6/5 + z**5/5 - z**4/3 - z**3 - z**2 - 8*z. Suppose d(p) = 0. Calculate p.
-1, 1
Let v(t) be the second derivative of t**4/12 - t**3/6 - t**2 + t. Let p be v(-2). Suppose 0*x + 2/3*x**p + 0 + 0*x**2 - 1/3*x**3 - 1/3*x**5 = 0. Calculate x.
0, 1
Let d(x) be the third derivative of -x**9/15120 + x**8/2240 - x**7/840 + x**6/720 + x**4/6 - 3*x**2. Let v(c) be the second derivative of d(c). Solve v(y) = 0.
0, 1
Let g(w) = -60*w**4 - 25*w**3 + 85*w**2 + 35*w + 35. Let x(i) = 5*i**4 + 2*i**3 - 7*i**2 - 3*i - 3. Let s(a) = 3*g(a) + 35*x(a). Factor s(z).
-5*z**2*(z - 1)*(z + 2)
Let w(m) be the second derivative of -2*m + 1/36*m**4 + 0 + 0*m**2 - 1/18*m**3. Determine y, given that w(y) = 0.
0, 1
Let c = 49/8 + -221/40. Determine x, given that -12/5 + c*x**2 + 0*x = 0.
-2, 2
Factor o**4 - 5*o**2 + 6*o**2 + o**3 + o**3.
o**2*(o + 1)**2
Let y(d) = d**3 + 6*d**2 - 8*d - 3. Let v be y(-7). Let w = v - 0. What is l in 10/3*l**3 + 5/3*l + 5/3*l**w + 10/3*l**2 + 1/3*l**5 + 1/3 = 0?
-1
Suppose -6*t - 9 = -21. Let g(f) be the third derivative of -f**t + 1/50*f**5 + 0 + 1/15*f**3 + 1/300*f**6 + 1/20*f**4 + 0*f. Let g(l) = 0. What is l?
-1
Let y = -339 - -342. Let g be ((-2)/4)/(2/(-8)). Factor -2/3*p**y - 4/3 + 0*p**g + 2*p.
-2*(p - 1)**2*(p + 2)/3
Let c be (1/(-7))/(28/(-98)). Solve 0 + c*g**2 - g = 0 for g.
0, 2
Let x(g) be the first derivative of 2*g**6/21 - 4*g**5/35 - 2*g**4/7 + 8*g**3/21 + 2*g**2/7 - 4*g/7 + 20. Factor x(j).
4*(j - 1)**3*(j + 1)**2/7
Let a = 8 + -6. Solve -3 - 10*f + 35*f**2 - 22*f**a - 1 + 19*f**2 - 18*f**3 = 0.
-2/9, 1
Let r be (18/8)/(2/40). Let q = -45 + r. Factor 8/9 - 2/9*l**2 + q*l.
-2*(l - 2)*(l + 2)/9
Let b(l) = -20*l**3 - 20*l**2 - 16*l. Let k(t) = 4*t**3 + 4*t**2 + 3*t. Let d(f) = 3*b(f) + 16*k(f). Factor d(v).
4*v**2*(v + 1)
Suppose 0 = 3*o + 3*v + 173 + 43, -4*v - 213 = 3*o. Let s = o + 376/5. Factor -s*c**2 + 2/5 + 1/5*c.
-(c - 2)*(c + 1)/5
Let p(s) = 4*s. Let d be p(1). Factor 12 - d*x + 7*x + 3*x**2 + 9*x.
3*(x + 2)**2
Factor 3*c**3 - 7*c + 0*c**2 - 5*c**3 + 15*c - 6*c**2.
-2*c*(c - 1)*(c + 4)
What is h in -10*h**2 + 56/9*h - 8/9 = 0?
2/9, 2/5
Factor 13*h + 2*h**2 - 3*h*