rd derivative of -1/70*a**7 - 1/168*a**8 - 2*a**2 + 0*a + 1/24*a**4 + 0 + 1/20*a**5 + 1/120*a**6 + 0*a**3. Suppose y(w) = 0. What is w?
-1, -1/2, 0, 1
Suppose -4*g + 1 = -11. Suppose -g*x = -6*x. Factor x + 0*d**2 - 2/5*d**3 + 2/5*d.
-2*d*(d - 1)*(d + 1)/5
Let b be (-6)/(-3 - 0) + 0. Suppose -16 = 4*t, b*n = 3*n + 4*t + 16. Let n + 1/2*w**2 - 1/2*w = 0. What is w?
0, 1
Let k(p) = p**3 + 5*p**2 - 2*p - 8. Let n be k(-5). Factor n*w - 2*w**2 - 1/2.
-(2*w - 1)**2/2
Let i(r) = -5*r**3 + 14*r**2 + 22*r - 6. Let y(n) = n**3 - n**2 - n + 1. Let q(t) = -i(t) - 6*y(t). Find v such that q(v) = 0.
-4, 0
Factor 110*o**4 + 378*o**3 - 204*o**2 + 19*o + 5*o + 133*o**4 + 0*o.
3*o*(o + 2)*(9*o - 2)**2
Let v(l) be the second derivative of l**6/60 - 7*l**4/24 + l**3/2 - 3*l. Suppose v(i) = 0. Calculate i.
-3, 0, 1, 2
Suppose 2*k + 1 = a, -5*a = -9 - 16. Factor -7*o**2 + o**2 - 6*o**k - 8*o**3 + 4*o**2 + 4 + 4*o**5 + 4*o + 4*o**4.
4*(o - 1)**2*(o + 1)**3
Let t(s) = -3*s**4 + 5*s**3 + 3*s**2 - s - 4. Let o(d) = 5*d**4 - 9*d**3 - 5*d**2 + 2*d + 7. Let p be 5 + -2 + -1 + 2. Let r(u) = p*o(u) + 7*t(u). Factor r(a).
-a*(a - 1)*(a + 1)**2
Let t = 13 + -21. Let l(u) = -u**2 - 8*u. Let n be l(t). Determine s, given that 0*s**3 - 1/3*s**4 + 1/3*s**2 + n*s + 0 = 0.
-1, 0, 1
Let h(r) be the third derivative of -r**6/150 - r**5/25 + r**4/30 + 2*r**3/5 + 12*r**2. Factor h(j).
-4*(j - 1)*(j + 1)*(j + 3)/5
Let k(w) be the second derivative of -w**5/20 + w**4/6 - w**2/2 + w. Let v be k(-1). Let -38*h**v + 7 + 1 + 23*h - h - 6*h + 14*h**3 = 0. What is h?
-2/7, 1, 2
Suppose -2*n + 6 - 5 = -d, -2*n - 4*d = -16. Suppose 1/3*u**5 - 2/3*u**n + 0*u + 0 + 2/3*u**4 - 1/3*u**3 = 0. Calculate u.
-2, -1, 0, 1
Let x(p) be the first derivative of -p**6/6 + 3*p**5/5 - 3*p**4/4 + p**3/3 - 10. Determine z, given that x(z) = 0.
0, 1
Let f(x) = x**2 + x + 2 - 1 + x**2 - x**3. Let g be f(2). Factor -5*k + k + k**5 + 5*k - 2*k**g.
k*(k - 1)**2*(k + 1)**2
Let i be (4/(-12))/(1/(-12)). Let a(y) be the first derivative of -1/15*y**5 - 1 + 8/3*y + 5/12*y**i - 2/3*y**3 - 2/3*y**2. Suppose a(h) = 0. What is h?
-1, 2
Let o(w) = w**2 + 2*w - 1. Let p be o(-2). Let q = p + 4. Find z, given that -4*z**3 + 4*z**3 - z**q - z**3 = 0.
0
Let b be -2 + 4 - (-4 + 6). Let p(k) be the first derivative of b*k + 1/4*k**2 - 3 + 0*k**3 - 1/8*k**4. Factor p(x).
-x*(x - 1)*(x + 1)/2
Factor -50/11 - 2/11*q**2 - 20/11*q.
-2*(q + 5)**2/11
Let m(r) be the second derivative of 5*r**4/3 + 2*r**3 - r. Find s such that m(s) = 0.
-3/5, 0
Suppose i - 11 = -5*c - 2, -4*c + i = 0. Let z = 3 + c. Factor -32/9*g**3 - 4/9*g**5 + 28/9*g**2 + 2/9 + 2*g**z - 4/3*g.
-2*(g - 1)**4*(2*g - 1)/9
Let v(l) = -2*l + 3. Let f be v(3). Let s(h) = -h**3 - 2*h**2 + 2*h - 1. Let q be s(f). Factor 0 + 2/5*g**q - 2/5*g.
2*g*(g - 1)/5
Suppose 0 = 5*k - 3*k + 2, 3 = -4*y - 3*k. Suppose -1/3*r**4 + 1/6*r**3 + y - 1/6*r**5 + 1/3*r**2 + 0*r = 0. What is r?
-2, -1, 0, 1
Factor -22/15*v**4 - 2/5*v**5 - 2*v**3 - 4/15*v + 0 - 6/5*v**2.
-2*v*(v + 1)**3*(3*v + 2)/15
Suppose z + 4 = 5*i - 13, i = -4*z - 5. Factor 1/6 + 0*m**2 + 1/3*m**i - 1/3*m - 1/6*m**4.
-(m - 1)**3*(m + 1)/6
Suppose -4*t = 51 - 7. Let m = t + 15. Let -7*w**4 + 9*w**5 + 4*w + m*w**2 + 0*w**4 + w**4 - 11*w**3 = 0. Calculate w.
-2/3, 0, 1
Let q(h) be the first derivative of h**3/3 + 2*h**2 + 4*h - 1. Solve q(x) = 0 for x.
-2
Let h(s) be the second derivative of 1/168*s**7 + 0 - 3*s - 1/24*s**3 + 0*s**5 + 1/24*s**4 - 1/60*s**6 + 0*s**2. Let h(l) = 0. What is l?
-1, 0, 1
Let a(r) = -r**3 + 4*r**2 - 4*r + 3. Let w be a(3). Let 0 + 2/9*h**4 + 0*h**3 - 2/9*h**2 + w*h = 0. What is h?
-1, 0, 1
Suppose 0 + 5/2*f**4 - 5/3*f + 10/3*f**3 - 5/6*f**2 = 0. Calculate f.
-1, 0, 2/3
Let r(c) be the first derivative of c**5/15 + c**4/2 + 4*c**3/3 - 9*c**2/2 + 6. Let t(y) be the second derivative of r(y). Let t(k) = 0. What is k?
-2, -1
Let o(v) be the first derivative of -2/5*v**5 - v**4 - 2 + v**2 + 1/3*v**6 - 2*v + 4/3*v**3. Factor o(u).
2*(u - 1)**3*(u + 1)**2
Let h(d) be the third derivative of -d**7/14 + 11*d**6/20 - 2*d**5/5 - 3*d**2. Find f, given that h(f) = 0.
0, 2/5, 4
Let a(v) be the third derivative of -v**9/60480 - v**8/20160 + v**7/2520 - v**5/15 - 3*v**2. Let i(o) be the third derivative of a(o). Factor i(p).
-p*(p - 1)*(p + 2)
Suppose 0*x + 5*x - 3*y = 0, 4*y = x. Let -2/9*k**3 + x - 2/9*k - 4/9*k**2 = 0. What is k?
-1, 0
Factor -n**2 - n**5 + 31*n**3 - 1 - n - n**4 + 3*n**2 - 29*n**3.
-(n - 1)**2*(n + 1)**3
Let h = 45306 + -10737449/237. Let f = h - -2/79. Let -4/3*v - 4/3 - f*v**2 = 0. Calculate v.
-2
Let a(c) = c**2 - 2*c + 2. Let q be a(2). Factor b + 2*b - 4*b + 3*b - q*b**2.
-2*b*(b - 1)
Let m = 1 + 14. Factor -h**4 + m*h - 15*h - 2*h**3 - h**2.
-h**2*(h + 1)**2
Let i = 16 + -14. What is n in 0*n + i*n - 3*n + n**2 - 3*n + 3 = 0?
1, 3
Let f(y) be the first derivative of -y**4/7 - 20*y**3/21 - 16*y**2/7 - 16*y/7 + 17. Solve f(m) = 0 for m.
-2, -1
Let l = -38 - -79/2. What is d in 11/4*d**2 + l*d**3 - d - 9/4*d**4 - 1 = 0?
-2/3, 1
Determine j, given that 0*j**2 - 2/15*j + 2/15*j**3 + 0 = 0.
-1, 0, 1
Let h(p) be the third derivative of p**7/2100 + p**6/900 + p**3/3 - p**2. Let n(q) be the first derivative of h(q). Factor n(i).
2*i**2*(i + 1)/5
Let d(b) be the third derivative of b**6/120 + 3*b**5/20 + b**4/3 + b**3/2 + 3*b**2. Let n be d(-8). Determine f so that 3*f - n*f**2 - 8*f - f = 0.
-2, 0
Factor 0*v + 4 + 24*v**2 - 22*v**2 + 5*v + v.
2*(v + 1)*(v + 2)
Let k(z) = -3*z**3 + 2*z**2. Let n be k(2). Let f be n/(-56) - (-2)/(-7). Factor -3*r - 3/2*r**3 + f - 9/2*r**2.
-3*r*(r + 1)*(r + 2)/2
Let x(i) be the first derivative of 1/12*i**4 + i - 1 - 1/20*i**5 + 0*i**2 + 0*i**3. Let k(c) be the first derivative of x(c). Suppose k(o) = 0. What is o?
0, 1
Let p(q) be the first derivative of 4*q**3/3 + 6*q**2 - 5. Factor p(v).
4*v*(v + 3)
Let x be 24 + (5 - (0 - -2)). Find t, given that -4*t**3 + 7*t - 22*t - t - x*t**2 + 11*t**2 = 0.
-2, 0
Factor -36*l**2 + 102*l**2 - 2 - 9*l - 55*l**2.
(l - 1)*(11*l + 2)
Let a = -1 - -4. Suppose -2*z = 3*f - z - 9, 0 = f + 2*z - a. Factor -12/7*y**2 - 2/7*y**4 + 8/7*y - 2/7 + 8/7*y**f.
-2*(y - 1)**4/7
Let k(q) be the first derivative of -7*q**4/12 - 16*q**3/9 - 11*q**2/6 - 2*q/3 - 25. Let k(z) = 0. Calculate z.
-1, -2/7
Let u = -45 - -49. Let p(b) be the second derivative of 1/90*b**6 + 1/30*b**5 + 0*b**3 + 0*b**2 + 0 - b + 1/36*b**u. Let p(f) = 0. What is f?
-1, 0
Let x(n) = -3*n - 10. Let z be x(-6). Let v be 10/12*z/20. Determine q, given that 1/3 + 2/3*q + v*q**2 = 0.
-1
Let g(i) be the third derivative of i**7/840 - i**6/120 - 3*i**5/40 - i**4/6 - 7*i**2. Let f(m) be the second derivative of g(m). Let f(c) = 0. What is c?
-1, 3
Let p = -32 - -39. Suppose 3*w = p*w - 8. Solve s**w - 4/3*s**5 - s**4 + 0 + 5/3*s**3 - 1/3*s = 0.
-1, 0, 1/4, 1
Let h(l) be the second derivative of -l**7/42 - l**6/15 + l**5/10 + 2*l**4/3 + 7*l**3/6 + l**2 - 3*l. Solve h(z) = 0.
-1, 2
Find i, given that 0 + 1/3*i + 1/2*i**2 + 1/6*i**3 = 0.
-2, -1, 0
Let i(p) = -48*p**3 - 64*p**2 - 25*p - 9. Let y(c) = -12*c**3 - 16*c**2 - 6*c - 2. Let m(g) = -2*i(g) + 9*y(g). Find s such that m(s) = 0.
-1, -1/3, 0
Let j be (-27)/(-72)*(-4)/(-6). What is n in 1/4 + 1/2*n + j*n**2 = 0?
-1
Let p(u) = 0*u**2 - 5*u**2 + 15*u**2 - 2*u. Let r(v) be the third derivative of v**5/60 - v**2. Let q(z) = -2*p(z) + 22*r(z). Factor q(a).
2*a*(a + 2)
Suppose 3 = -0*f + 3*f + 2*i, -3*i = -3*f + 3. Factor -r**2 + f + 1/2*r**3 - 1/2*r.
(r - 2)*(r - 1)*(r + 1)/2
Let l(f) = -2*f + 3*f - f**2 + 2*f**2. Let b(k) = -2*k**3 + 2*k**2 + 4*k. Let q = 8 + -6. Let n(c) = q*l(c) - b(c). Factor n(v).
2*v*(v - 1)*(v + 1)
Let v(d) be the first derivative of 0*d + 1/4*d**4 + 0*d**2 - 1/12*d**3 - 3/20*d**5 + 1. Determine r so that v(r) = 0.
0, 1/3, 1
Let s(w) be the third derivative of w**5/20 - w**4/2 + 2*w**3 - 6*w**2. Factor s(t).
3*(t - 2)**2
Let r(o) = -6*o**2 + 57*o - 21. Let h(x) = -x**2 - 1. Let p(a) = -4*a**2 - 8*a - 2. Let z(v) = -5*h(v) + p(v). Let n(w) = -2*r(w) - 15*z(w). Factor n(f).
-3*(f - 1)**2
Factor 10/3*z + 5*z**2 + 5/3*z**3 + 0.
5*z*(z + 1)*(z + 2)/3
Let n(g) be the first derivative of -1/3*g**3 + 1/8*g**4 + 0*g + 0*g**2 + 5 + 1/10*g**5. Solve n(x) = 0.
-2, 0, 1
Let x = -43 + 83. Let s be x/9*(-18)/(-12). Factor 20/3*