+ -10. Suppose a = 5*d - 3*l, -2*d + 6*l = 2*l. Find s, given that 2/11*s**2 - 2/11*s**4 + d*s**3 + 0*s + 0 = 0.
-1, 0, 1
Let g(m) be the third derivative of -1/90*m**5 - 4/9*m**3 - 1/9*m**4 + m**2 + 0*m + 0. Find u, given that g(u) = 0.
-2
Let j(n) be the first derivative of -2/21*n**3 + 0*n**4 + 0*n - 4 + 2/35*n**5 + 0*n**2. Factor j(h).
2*h**2*(h - 1)*(h + 1)/7
Let o(m) be the second derivative of m**6/45 - m**4/18 + 5*m. Factor o(f).
2*f**2*(f - 1)*(f + 1)/3
Let 1/2*s**3 + 27/2*s + 9/2*s**2 + 27/2 = 0. Calculate s.
-3
Let j(k) = 36*k**2 - 8*k - 72. Let z(q) = 4*q**2 - q - 8. Let w(y) = -3*j(y) + 28*z(y). Factor w(b).
4*(b - 2)*(b + 1)
Let g(b) be the second derivative of 5*b**6/6 + b**5/2 - 2*b + 6. Factor g(c).
5*c**3*(5*c + 2)
Let a(l) = -4*l**3 + 2*l**2. Let f(j) = -9*j**3 + 5*j**2 - j. Let y be 1 - (9/3 + -7). Let q = y + 0. Let d(n) = q*a(n) - 2*f(n). Suppose d(t) = 0. Calculate t.
-1, 0, 1
Suppose 0*d**3 + 6/11*d**2 - 2/11*d**4 + 0 + 4/11*d = 0. What is d?
-1, 0, 2
Let p(f) be the first derivative of -f**6/40 + f**5/60 + f**4/8 - f**3/6 + 3*f**2/2 - 3. Let r(i) be the second derivative of p(i). Factor r(h).
-(h - 1)*(h + 1)*(3*h - 1)
Let n(h) be the first derivative of 3*h**4/4 + 2*h**3 - 6*h**2 - 24*h - 13. Factor n(o).
3*(o - 2)*(o + 2)**2
Determine d so that 0 + 1/4*d - 1/4*d**2 = 0.
0, 1
Let z = 6 - 5. Let t be 2*z + 16/(-10). Find n such that -2/5*n - 12/5*n**3 - 8/5*n**2 + 0 - 8/5*n**4 - t*n**5 = 0.
-1, 0
Let q(x) = x**2 - 31*x - 18. Let s(r) = r**2 - 21*r - 12. Let f(h) = -5*q(h) + 7*s(h). Factor f(o).
2*(o + 1)*(o + 3)
Let c be ((-5)/(-4))/(36/(-128)). Let f = c + 169/36. Suppose -1/4*i**2 - f*i**4 - 1/2*i**3 + 0*i + 0 = 0. What is i?
-1, 0
Suppose 2*w - 20 = -16. Find s such that 10/3*s - 2/3*s**2 - w - 2/3*s**3 = 0.
-3, 1
Let b(k) = 8*k**4 - 62*k**3 + 654*k**2 - 2594*k + 1994. Let z(d) = -15*d**4 + 124*d**3 - 1309*d**2 + 5189*d - 3989. Let m(y) = -11*b(y) - 6*z(y). Factor m(a).
2*(a - 10)**3*(a - 1)
Let n(v) be the second derivative of -v**7/6300 - v**6/900 + v**4/4 + v. Let m(s) be the third derivative of n(s). Factor m(g).
-2*g*(g + 2)/5
Suppose 5*p = -2*b + 15, p - 5 = -2. Suppose -1/2*y**3 + 0*y - 1/2*y**4 + b + 0*y**2 = 0. What is y?
-1, 0
Let r(u) = 6*u**3 - 19*u**2 - 5. Let v(f) = -2*f**3 + 10*f**2 + 2. Let m(k) = -2*r(k) - 5*v(k). Find t such that m(t) = 0.
-6, 0
Let r be 0/(0 - -1 - 2). Let k be ((-1825)/(-450) - (-8)/18) + -4. What is q in r + k*q + 1/2*q**2 = 0?
-1, 0
Let s(h) be the second derivative of 1/10*h**5 + 0*h**4 + 0*h**2 - 1/3*h**3 + 0 - 2*h. Find n, given that s(n) = 0.
-1, 0, 1
Let r(m) be the first derivative of -m**4/8 + 5*m**3/6 - 3*m**2/4 - 9*m/2 - 4. Factor r(q).
-(q - 3)**2*(q + 1)/2
Let r(u) be the first derivative of -2*u**6/3 + 12*u**5/5 - 2*u**4 - 8*u**3/3 + 6*u**2 - 4*u + 4. Suppose r(h) = 0. What is h?
-1, 1
Let b = -18 - -20. Let d(f) be the third derivative of 2*f**b + 1/360*f**6 + 0*f**4 + 0*f**3 + 1/90*f**5 + 0 + 0*f. Factor d(h).
h**2*(h + 2)/3
Let 1 - 1/4*d**4 + 2*d - 1/2*d**3 + 3/4*d**2 = 0. What is d?
-2, -1, 2
Let o(r) be the third derivative of r**8/5040 + r**7/2520 - r**6/1080 - r**5/360 + r**3/6 - r**2. Let f(n) be the first derivative of o(n). Factor f(v).
v*(v - 1)*(v + 1)**2/3
Let m(w) be the second derivative of -w**4/6 - 2*w. Let o(c) = 4 - 4 + 4*c**2. Let d(l) = -5*m(l) - 3*o(l). Determine z, given that d(z) = 0.
0
Suppose 3*w = 8*w - 20. Find o such that -10*o**w + 14*o**5 - o**3 - 2*o**3 - o**3 = 0.
-2/7, 0, 1
Suppose 10*x + 6 = 13*x. Let b(w) be the third derivative of 0*w - 1/60*w**5 - x*w**2 + 0 - 1/24*w**4 + 0*w**3. Find g, given that b(g) = 0.
-1, 0
Determine u so that -2/5*u + 0*u**3 + 2/5*u**5 + 0 + 4/5*u**4 - 4/5*u**2 = 0.
-1, 0, 1
Let h(a) be the first derivative of -a**6/150 + a**5/50 - a**3/15 + a**2/10 + 2*a + 1. Let y(m) be the first derivative of h(m). What is k in y(k) = 0?
-1, 1
Let h(w) be the first derivative of -1/2*w**3 + 2/5*w**5 - 1/2*w**4 - 1/2*w - 4 + w**2. Factor h(x).
(x - 1)*(x + 1)*(2*x - 1)**2/2
Let b = 6 - 4. Suppose 0 = -b*m + 5*m + 3*w - 6, -m = -4*w - 22. Factor 6 - m + i**2 - i**3.
-i**2*(i - 1)
Factor -5*x**3 - 35*x**2 - 65*x**3 + 4 + 35*x + 6 + 10*x**3.
-5*(x + 1)*(3*x - 2)*(4*x + 1)
Suppose q = -4, -5*i - q + 2 = -4. What is v in -3 + i - v**2 + 1 = 0?
0
Let p = -287 - -2011/7. Find k, given that p*k**2 + 4/7*k + 2/7 = 0.
-1
Factor 16/7*g**2 + 0 - 4/7*g**3 + 0*g.
-4*g**2*(g - 4)/7
Let z(t) be the first derivative of -t**3/3 + 6*t**2 + 5*t - 3. Let n(h) = h**2 - 24*h - 11. Let s(w) = -4*n(w) - 7*z(w). What is v in s(v) = 0?
-3, -1
Let i(c) be the first derivative of c**7/1155 + c**6/660 + 3*c**2/2 + 2. Let g(y) be the second derivative of i(y). Let g(w) = 0. What is w?
-1, 0
Solve 10/3*w**5 + 8/3*w**3 - 8*w**4 - 6*w + 4/3 + 20/3*w**2 = 0 for w.
-1, 2/5, 1
Let c(f) be the third derivative of 0 - 1/480*f**6 - f**2 + 0*f**5 + 0*f**3 + 0*f + 0*f**4. Factor c(b).
-b**3/4
Let j be 4/(-40)*(-90)/4. Let o = -7/4 + j. Determine u so that 0*u + u**2 - u**4 + 0 - 1/2*u**3 + o*u**5 = 0.
-1, 0, 1, 2
Let p be 116/(-8) - 2 - 3. Let o = p + 20. Suppose 1/4 + o*r + 1/4*r**2 = 0. What is r?
-1
Let r be (-80)/30*3/(-2). Suppose -r*k + 5*k = 0. Factor 2/5*v - 2/5*v**2 + k.
-2*v*(v - 1)/5
Let l be ((-9)/6)/(21/(-28)). Suppose -2/3*n**4 - 4/3*n + 4/3*n**3 + 0*n**l + 2/3 = 0. Calculate n.
-1, 1
Suppose -3*t + 7*t = 0. Suppose 5*n - 8*n + 15 = t. Suppose 0*p**4 + 0 + 1/2*p**3 - 1/4*p**n + 0*p**2 - 1/4*p = 0. Calculate p.
-1, 0, 1
Let k(z) be the first derivative of z**6/90 - z**5/30 + z**4/36 - 2*z - 3. Let t(y) be the first derivative of k(y). Factor t(o).
o**2*(o - 1)**2/3
Let n(h) be the first derivative of h**6/6 + h**5/5 + 2. Solve n(q) = 0.
-1, 0
Factor 7/2 + 4*c + 1/2*c**2.
(c + 1)*(c + 7)/2
Find v, given that 0*v**3 - 1/2*v**4 + 1/4*v**5 + 1/2*v**2 + 0 - 1/4*v = 0.
-1, 0, 1
Let m(n) = n**3 + 9*n**2 + 10*n - 9. Let s be m(-8). Let r be 116/10 + (-10)/s. Factor 12*j**2 - 2*j**5 - 18*j**3 + 0*j**5 + r*j**4 - 3*j - j**5.
-3*j*(j - 1)**4
Let f(q) be the first derivative of -q**3/15 - q**2/10 + 13. Factor f(j).
-j*(j + 1)/5
Suppose 0*s - s = -2. Let z(b) be the first derivative of -b + 1/2*b**s - 1/4*b**4 + 2 + 1/3*b**3. Factor z(d).
-(d - 1)**2*(d + 1)
Let o(y) = y**4 - y**2. Let u(v) = -3*v**4 + 3*v**2. Suppose 0*x + 5*x - 5 = 0. Let t(d) = x*u(d) + 4*o(d). Determine s, given that t(s) = 0.
-1, 0, 1
Let i(v) be the third derivative of -v**6/80 + v**5/48 + v**4/32 - v**3/12 - 27*v**2. Factor i(p).
-(p - 1)*(2*p - 1)*(3*p + 2)/4
Let i(a) be the first derivative of a**5/10 - a**4/8 - a**3/6 + a**2/4 + 3. Let i(p) = 0. Calculate p.
-1, 0, 1
Let d(j) be the first derivative of -j**3/3 - 6*j**2 - 45. What is n in d(n) = 0?
-12, 0
Let i be (9 - 11)/(-1*1). Determine d so that 2 - i + 3*d**3 - d**2 - 4*d**3 = 0.
-1, 0
Let 110*b**3 - 288*b**3 - 132*b**4 + 48*b**4 - 128*b**2 - 38*b - 4 = 0. Calculate b.
-1, -1/2, -1/3, -2/7
Suppose 3/7*b**3 - 6/7*b**2 - 30/7 - 39/7*b = 0. What is b?
-2, -1, 5
Let u be (-4)/(-600) + 1 + -1. Let r(m) be the third derivative of -m**2 + 0 - 1/15*m**3 + 1/30*m**4 + 0*m - u*m**5. Find d, given that r(d) = 0.
1
Let f be (-5)/((-40)/(-6))*-4. Suppose 4*w + f*g - 4*g = 9, -w = -g - 3. Suppose 4 + 2*u + w*u**2 + 0*u**2 - 5*u - 3*u = 0. What is u?
1, 2
Let a(b) be the third derivative of -b**8/1344 + b**7/630 - b**6/900 + 7*b**4/24 - 6*b**2. Let f(h) be the second derivative of a(h). Factor f(l).
-l*(5*l - 2)**2/5
Let i(d) be the second derivative of d**7/147 - d**6/21 + 4*d**5/35 - 2*d**4/21 + 11*d + 3. Factor i(b).
2*b**2*(b - 2)**2*(b - 1)/7
Let u = 24 + -17. Let c = -5 + u. Factor -6*i**c - i**3 + i**4 + 5*i**2 + i + 0*i**4.
i*(i - 1)**2*(i + 1)
Let w(b) be the first derivative of -3*b**6 - 42*b**5/5 - 8*b**4 - 8*b**3/3 - 9. Suppose w(k) = 0. What is k?
-1, -2/3, 0
Let j(m) = -4*m**3 - 3*m**2 + 7*m - 6. Let u(n) = 4*n**3 + 2*n**2 - 6*n + 5. Let t(g) = 5*j(g) + 6*u(g). Suppose t(c) = 0. Calculate c.
-1/4, 0, 1
Let d(x) = -x**2 + 7*x. Let t be d(4). Suppose -3*f + t = -4*r, 3*f + 2*r - 13 = 17. Solve -6*i - 3 - f*i**2 + 5 + 0*i**2 = 0.
-1, 1/4
Factor -28*u**3 + 13*u**3 + 2*u**2 + u**2 + 4*u**4 + 8*u**4.
3*u**2*(u - 1)*(4*u - 1)
Let p(d) = 24*d**4 - 20*d**3 - 2*d**2 - 2*d + 22. Let q(u) = -u**4 + u**3 - 1. Let x(k) = -2*p(k) - 44*q(k)