w - 5. Suppose 5*q = 4*r + q + 12, 30 = 5*r + 4*q. What is n in 1/2*n**w - 2*n - 2*n**3 + 3*n**r + 1/2 = 0?
1
Let w(f) be the first derivative of -3*f**5/20 + 21*f**4/16 - 7*f**3/2 + 3*f**2 - 2. Factor w(y).
-3*y*(y - 4)*(y - 2)*(y - 1)/4
Let 2 + 2*l + 297*l**3 + 2 - 299*l**3 - 4*l**2 = 0. What is l?
-2, -1, 1
Let x(q) = -2*q**2 - 5*q. Let w = -12 - -18. Let r(f) be the second derivative of -f**4/4 - 3*f**3/2 - f. Let g(z) = w*r(z) - 10*x(z). Solve g(v) = 0.
0, 2
Let v(l) = 6*l**3 - 9*l**2 + 3*l + 1. Let p(y) = -y**3. Let a(o) = 5*p(o) + 5*v(o). Factor a(u).
5*(u - 1)**2*(5*u + 1)
Let y be (-7)/7*-3*(1 - 0). Solve -1/6*c**2 + 1/6 + 1/6*c**y - 1/6*c = 0 for c.
-1, 1
Let k(h) = -3*h + 47. Let r be k(14). Let q(i) be the third derivative of i**2 + 0 + 1/21*i**3 - 1/210*i**r + 0*i + 0*i**4. Let q(y) = 0. What is y?
-1, 1
Let p(z) be the second derivative of z**4/20 - 2*z**3/5 + 6*z**2/5 - 42*z. Suppose p(c) = 0. Calculate c.
2
Suppose -6*p + 3*p + 84 = 0. Factor p*h**3 - 25*h**2 - 20*h**4 + 17*h**2 - 2 + 2.
-4*h**2*(h - 1)*(5*h - 2)
Let s(a) be the third derivative of -1/360*a**6 + 0*a - 1/180*a**5 + 2*a**2 + 0*a**3 + 1/36*a**4 + 0. Solve s(n) = 0 for n.
-2, 0, 1
Let l = -8 - -10. Let w be 21/15 + (l - 3). Let -2/5 + 0*v + w*v**2 = 0. Calculate v.
-1, 1
Let y(r) = 8*r**4 - 12*r**3 - 8*r**2 + 4*r - 4. Let l(d) = 7*d**4 - 11*d**3 - 7*d**2 + 5*d - 3. Let s(n) = -4*l(n) + 3*y(n). Let s(c) = 0. Calculate c.
-1, 0, 1, 2
Let j = -1 + 5. Let q(h) = 2*h - 1. Let d be q(2). Find a such that 2*a + 2*a + a - 3*a - a**j + 1 - 2*a**d = 0.
-1, 1
Let b = 92 - 183/2. Suppose -3/2*w**4 + 0*w**2 + 0*w - w**3 + 0 - b*w**5 = 0. Calculate w.
-2, -1, 0
Let u(s) be the third derivative of -s**6/42 + 8*s**5/105 - s**4/42 - 4*s**3/21 - 5*s**2. Factor u(t).
-4*(t - 1)**2*(5*t + 2)/7
Suppose -h = 4*n + 3, -6*h + h = 5*n + 15. Suppose n = -2*t - 5*y - 15, -t = 5*y + 4 + 11. Factor -1/3*k**2 + t + 0*k.
-k**2/3
Let w(h) = -h**3 + 6*h**2 + 9*h - 10. Let s be w(7). Find x such that 3*x**2 + 4*x**4 - 12*x**s - 13*x**4 - 12*x**5 - 6*x**3 = 0.
-1, 0, 1/4
Factor 2/5*h**2 + 6/5*h**3 + 2/5*h**4 - 6/5*h - 4/5.
2*(h - 1)*(h + 1)**2*(h + 2)/5
Let m(a) be the third derivative of a**8/96 + 11*a**7/140 + 23*a**6/120 + a**5/10 - a**4/6 + 12*a**2. Let m(q) = 0. What is q?
-2, -1, 0, 2/7
Let z be ((-4)/3)/((-2)/6). What is i in -i - 2 + 2 - 3*i**5 + 4*i**5 - 2*i**z + 2*i**2 = 0?
-1, 0, 1
Let z(t) be the third derivative of 2*t**7/105 + 2*t**6/15 + 2*t**5/5 + 2*t**4/3 + 2*t**3/3 + 20*t**2. Suppose z(r) = 0. Calculate r.
-1
Let s(l) = l**2 - 2 + 8*l - 3*l + 8. Let v be s(-4). Solve -2/7*j + 0 - 2/7*j**3 - 4/7*j**v = 0 for j.
-1, 0
Let k(v) be the second derivative of -v**5/4 - 5*v**4/4 + 10*v**3/3 + 62*v. Solve k(l) = 0.
-4, 0, 1
Let w be ((-8)/(-20))/(104/240*6). Factor 66/13*r**2 + w + 80/13*r**3 + 32/13*r**4 + 20/13*r.
2*(r + 1)**2*(4*r + 1)**2/13
Let b(c) be the third derivative of c**6/140 + c**5/20 + c**4/28 - 3*c**3/14 - 25*c**2. Solve b(z) = 0 for z.
-3, -1, 1/2
Suppose 7*l - 3*l - 4 = 0. Let b(v) be the first derivative of -1/5*v + 1/10*v**2 + 1/15*v**3 + l - 1/20*v**4. Factor b(u).
-(u - 1)**2*(u + 1)/5
Let q(r) be the second derivative of -7*r**4/4 + 3*r**3 - 9*r**2/2 + 5*r. Let g(l) = l**2 - 1. Let x(o) = -18*g(o) - q(o). Suppose x(i) = 0. What is i?
3
Let k(c) be the first derivative of -c**6/2340 + c**4/156 - 2*c**3 - 6. Let n(d) be the third derivative of k(d). Factor n(b).
-2*(b - 1)*(b + 1)/13
Suppose 4*r = -2*o + 16, -2 = 3*r - 11. Let a(c) be the third derivative of 1/9*c**3 - 1/180*c**5 + 0*c - 1/72*c**4 + c**o + 0. Find w such that a(w) = 0.
-2, 1
Let g(q) = 9*q**2 + q. Let j(w) = 35*w**2 + 3*w. Let z(c) = -22*g(c) + 6*j(c). Factor z(k).
4*k*(3*k - 1)
Let d(l) be the first derivative of l**7/2940 - l**5/140 - l**4/42 - l**3 + 3. Let h(j) be the third derivative of d(j). Factor h(x).
2*(x - 2)*(x + 1)**2/7
Let t = -83 - -86. Determine g, given that 1/3*g**2 + g**4 + 4/3*g**t + 0*g + 0 = 0.
-1, -1/3, 0
Let -3*y**2 - y**2 + 8*y**3 + 12*y**2 + 2*y**4 = 0. Calculate y.
-2, 0
Suppose -5 = -y, 2*g - 5 = -0*g - y. Solve 0*h - 1/2*h**3 + 0 + 0*h**4 + 1/2*h**5 + g*h**2 = 0 for h.
-1, 0, 1
Let x(v) be the first derivative of 1/10*v**4 + 0*v - 2/15*v**3 + 1 - 1/5*v**2 + 2/25*v**5. Find n such that x(n) = 0.
-1, 0, 1
Suppose -2*u = 1 - 5. Let d(k) be the first derivative of -1/9*k**3 + 0*k**u + 1/3*k + 2. Suppose d(l) = 0. Calculate l.
-1, 1
Let y be 2/3 - (-12)/9. Let 2/3*z**y + 0*z + 0 + 0*z**3 - 2/3*z**4 = 0. Calculate z.
-1, 0, 1
Factor 40/19*l + 32/19 + 16/19*l**2 + 2/19*l**3.
2*(l + 2)**2*(l + 4)/19
Let h be ((-16)/(-6))/(6/9). Factor -1/2*o**3 - 1/2*o**2 + 0 + 1/2*o**h + 1/2*o**5 + 0*o.
o**2*(o - 1)*(o + 1)**2/2
Suppose 2*q = 14*q. Let l = -25 - -51/2. Let -1/2 + l*d**2 + q*d = 0. Calculate d.
-1, 1
Let r be (-1)/5 - 1/(-5). Factor r*a**2 + 1 - 5*a**2 - a + 1 + a**3 + 3*a**4.
(a - 1)*(a + 1)**2*(3*a - 2)
Let o(y) be the third derivative of y**6/360 + y**5/30 + y**4/6 + 4*y**3/9 + 30*y**2. Determine u, given that o(u) = 0.
-2
Let x(j) be the first derivative of -5*j**3/21 + 13*j**2/14 + 6*j/7 + 24. Solve x(w) = 0.
-2/5, 3
Suppose -5 = -9*n + 22. Factor -2/5*x**5 + 0 - 6/5*x**n - 2/5*x**2 - 6/5*x**4 + 0*x.
-2*x**2*(x + 1)**3/5
Suppose -3*j + 5*p = 18, 4*j + 16 = 4*p - 0*p. Let u be 3 - (j - (0 - 0)). Factor -2*g - 2*g**u - g**3 + 3*g**3 + 0*g**3 + 2*g**2.
-2*g*(g - 1)**2*(g + 1)
Let m(r) = -r**3 + 6*r**2 - 3*r - 7. Let h be m(5). Suppose 4*n - 28 = 2*n + 3*d, 24 = 2*n - 2*d. Determine y, given that 4*y**2 + 2*y**h + n*y**3 + 0*y**3 = 0.
-2/5, 0
Let f(l) be the second derivative of l**4/4 + 11*l**3/8 - 9*l**2/8 - 6*l - 1. Find s, given that f(s) = 0.
-3, 1/4
Let j(l) be the first derivative of -l**3/6 + l**2/4 + l - 6. Find x such that j(x) = 0.
-1, 2
Solve -2/17*l**3 + 0 + 0*l - 2/17*l**2 = 0.
-1, 0
Factor -16/5 - 24/5*v - 9/5*v**2 - 1/5*v**3.
-(v + 1)*(v + 4)**2/5
Suppose 0 = -4*o - 35 - 5. Let w(h) = -h**2 - 10*h + 4. Let z be w(o). Factor 2/3*k - 2/3*k**2 - 2/3*k**5 + 1/3 - 7/3*k**z - 8/3*k**3.
-(k + 1)**4*(2*k - 1)/3
Suppose 4 = -4*r - 0, -4*y + 4*r = -4. Suppose -4/5 + y*d + 4/5*d**2 = 0. What is d?
-1, 1
Let n = -86/9 - -92/9. Suppose 0 + 2/3*u**4 + 0*u + 2/3*u**5 - 2/3*u**3 - n*u**2 = 0. What is u?
-1, 0, 1
Suppose 4*f - 9*f + 40 = 5*h, 0 = 3*h - 9. Let n = f - 2. Factor o**4 + o**3 + o**4 - n*o**4.
-o**3*(o - 1)
Let i(n) = -n**2 - 8*n + 2. Let d(o) = o**2 + 6*o - 8. Let y be d(-6). Let x be i(y). Factor -1 - 18*f**3 + 6*f**x + 10*f + 3 + 0.
-2*(f - 1)*(3*f + 1)**2
Find j, given that 4312/5*j**3 - 2058/5*j**4 - 2128/5*j**2 - 2401/5*j**5 - 32/5 + 432/5*j = 0.
-2, 2/7
Let d(b) = -b**3 + b + 4. Suppose -5*n + 2*p = 10, 2*p + 3 = n + 13. Let t be d(n). Solve -6*i**4 - 2*i**5 + i**3 + 3*i**t + 4*i**4 = 0.
-1/2, 0, 1
Suppose 3 = -5*f + 33. Let n = f - 4. Factor o**3 - 4*o**2 + 8*o**n - 2 - 2*o**4 - o**3.
-2*(o - 1)**2*(o + 1)**2
Let b(p) = -9*p**4 - 8*p**3 + 25*p**2 + 24*p. Let r(q) = -44*q**4 - 40*q**3 + 124*q**2 + 120*q. Let k(f) = -24*b(f) + 5*r(f). Let k(m) = 0. What is m?
-3, -1, 0, 2
Let r = -45 + 407/9. Let q = -949/3 + 317. Find j such that -4/9 + q*j - r*j**2 = 0.
1, 2
Let g(z) be the second derivative of 1/12*z**3 - 2*z + 0*z**2 - 1/168*z**7 - 1/16*z**4 + 1/40*z**6 - 1/80*z**5 + 0. Solve g(j) = 0.
-1, 0, 1, 2
Solve 0*p - 1/3*p**2 + 1/3 = 0.
-1, 1
Let b(l) be the second derivative of 9*l**5/80 - 5*l**4/16 + l**3/8 + 3*l**2/8 - 6*l. Find n, given that b(n) = 0.
-1/3, 1
Let t be 3/15*(-2 + -2 - -5). Let l = 2 - 0. Find q, given that t*q + 1/5*q**l - 1/5 - 1/5*q**3 = 0.
-1, 1
Let p be (-6)/36 + (-51)/(-288). Let w(j) be the third derivative of -1/24*j**3 - p*j**4 - j**2 + 0 + 0*j + 1/480*j**6 + 1/240*j**5. Factor w(z).
(z - 1)*(z + 1)**2/4
Let o be 6/4*1*2. Let f(x) = -x**3 - 6*x**2 - 4*x + 7. Let j be f(-5). Factor -t**j - 2*t + 3*t + t**2 - t**o.
-t*(t - 1)*(t + 1)
Let x(i) be the third derivative of -i**7/70 - i**6/20 - i**5/20 - 9*i**2. Factor x(n).
-3*n**2*(n + 1)**2
Let g be 3*-1 + 1/1. Let v be (-1 - 1)/(4/g). Suppose 0 + 2*i + v + 0 + i**2 = 0. What is i?
-1
Let y(p) be the second derivative of p**4/18 - p**3/6 - p**2/3 - 3*p. Determine s so that y(s) = 0.
-1/2, 2
Let a = 50 - 47. Factor 10/11*x**a + 0 + 4/11*x - 14/11*x**2.
2*x*(x - 1)*(5*x - 2)/11
Let n(o) = -2*