) be the second derivative of 3*j**5/100 - j**4/10 - j**3/10 + 3*j**2/5 - 2*j. Suppose m(o) = 0. What is o?
-1, 1, 2
Let z be 2/(6 - (-3 - -5)). Let r(h) be the first derivative of z*h**4 - 2*h + 2/3*h**3 - h**2 - 1. Let r(n) = 0. Calculate n.
-1, 1
Let j(u) be the second derivative of u**8/1120 - u**7/168 + u**6/60 - u**5/40 + u**4/48 - u**3 - 2*u. Let t(d) be the second derivative of j(d). Factor t(a).
(a - 1)**3*(3*a - 1)/2
Find y, given that 1/2*y + 0 + 0*y**3 - 1/4*y**4 + 3/4*y**2 = 0.
-1, 0, 2
Let z(w) be the third derivative of w**6/84 - w**5/30 - 2*w**4/21 + 4*w**3/21 - 7*w**2 - 4*w. Solve z(j) = 0 for j.
-1, 2/5, 2
Let u = 17/2 + -7. Let j(s) be the first derivative of u*s**2 - 3 + 2*s + 1/3*s**3. Factor j(k).
(k + 1)*(k + 2)
Let l(n) = -5*n**3 + 5*n - 8. Let b(r) = -2*r**3 + 2*r - 3. Let o(z) = 8*b(z) - 3*l(z). Factor o(m).
-m*(m - 1)*(m + 1)
Let w(s) be the first derivative of -s**6/240 - s**5/120 + s**4/24 - 3*s**2 + 7. Let t(c) be the second derivative of w(c). Determine a so that t(a) = 0.
-2, 0, 1
Let x(j) be the second derivative of -j**7/105 + 4*j**6/75 - 2*j**5/25 + 8*j. Factor x(k).
-2*k**3*(k - 2)**2/5
Determine a so that -4/3*a**2 - a - 1/3*a**3 + 0 = 0.
-3, -1, 0
Suppose -96*h + 2 = -95*h. Let q(a) be the first derivative of -1/15*a**6 + 1/5*a**h - 3 - 4/15*a**3 + 0*a**4 + 4/25*a**5 + 0*a. Find m, given that q(m) = 0.
-1, 0, 1
Suppose 0 = -f + 5*i, -3*f = -i - 9 - 19. Let g be 6/f*(-16)/(-12). Solve g + 0*j - 3/5*j**2 + 1/5*j**3 = 0.
-1, 2
Let l(w) be the first derivative of -w**4/18 + 4*w**3/27 - w**2/9 - 9. Let l(a) = 0. What is a?
0, 1
Let i(d) be the second derivative of 0 + 1/16*d**5 + 0*d**3 - 1/24*d**4 + 7*d + 0*d**2 - 1/40*d**6. Factor i(l).
-l**2*(l - 1)*(3*l - 2)/4
Let h(j) = j**2 - 9*j - 4. Let y be h(10). Let c be 2/(-6) + 14/y. Find w such that 4/3*w**2 + 2/3 - c*w = 0.
1/2, 1
Let s(f) be the second derivative of -f**8/120 - 16*f**7/525 - 11*f**6/300 - f**5/75 - 4*f**2 - 2*f. Let y(i) be the first derivative of s(i). Factor y(r).
-2*r**2*(r + 1)**2*(7*r + 2)/5
Let h be 1/((-2)/(-4) + 0). Let j be h - 8/6 - 0. Suppose -p**2 + 1/3*p + j = 0. What is p?
-2/3, 1
Let s(j) be the first derivative of -j**6/240 + j**5/60 - j**4/48 - j**2 - 5. Let a(h) be the second derivative of s(h). Factor a(f).
-f*(f - 1)**2/2
Let w(t) = 11*t**3 + 14*t**2 - 5*t. Let k(d) be the first derivative of 3/2*d**2 - 1 - 3*d**3 + 0*d - 7/4*d**4. Let r(h) = 8*k(h) + 5*w(h). Factor r(z).
-z*(z + 1)**2
Let s = -4 + 9. Let j(d) be the third derivative of 0*d**3 - 1/36*d**4 - 1/90*d**s + 0*d + d**2 + 0. Find u, given that j(u) = 0.
-1, 0
Let r(i) be the first derivative of -i**5/10 - i**4/6 + i**3/3 + i**2 + 4*i - 4. Let n(x) be the first derivative of r(x). Find l, given that n(l) = 0.
-1, 1
Let p(g) = -3*g**3 + 5*g**2 - g - 1. Let t(k) be the second derivative of -k**5/5 + k**4/2 - k**3/6 - k**2/2 - k. Let w(j) = -5*p(j) + 4*t(j). Factor w(q).
-(q - 1)*(q + 1)**2
Let d(f) be the third derivative of f**6/160 + 7*f**5/80 + 15*f**4/32 + 9*f**3/8 + 5*f**2. Find q such that d(q) = 0.
-3, -1
Let q(r) be the second derivative of r**5/90 + r**4/54 - r**3/27 - r**2/9 + 52*r - 1. Find m such that q(m) = 0.
-1, 1
Let y(x) be the second derivative of 1/480*x**6 - x + 1/2*x**2 + 0*x**3 + 0*x**5 + 0 - 1/96*x**4. Let n(g) be the first derivative of y(g). Factor n(u).
u*(u - 1)*(u + 1)/4
Suppose -2*w + 4 = -w. Let p(r) = 1 - 3*r**4 + w*r**4 + 0*r**4. Let b(o) = o**4 - 3*o**3 - 3*o**2 - o + 2. Let c(i) = -b(i) + 2*p(i). What is x in c(x) = 0?
-1, 0
Factor 4*v**3 + 3*v**2 + 0*v**3 - 4*v - 3 - 2*v**2 + 2*v**2.
(v - 1)*(v + 1)*(4*v + 3)
Let i be (-12)/(-10)*(-400)/(-120). Factor -l**i + 0 + 1/4*l - l**2 + 1/4*l**5 + 3/2*l**3.
l*(l - 1)**4/4
Let o(j) be the third derivative of -j**8/80640 - j**7/20160 - 2*j**5/15 - j**2. Let a(y) be the third derivative of o(y). Suppose a(m) = 0. Calculate m.
-1, 0
Let n(f) = f**3 - 3*f**2 - f - 1. Let h(k) = k**2. Let t(s) = 12*h(s) + 3*n(s). Determine i, given that t(i) = 0.
-1, 1
Let j(m) be the first derivative of -1/3*m**4 + 1/3*m**2 + 2/15*m**5 + 1/9*m**6 - 4/9*m**3 + 2/3*m + 2. Solve j(c) = 0 for c.
-1, 1
Let r(c) be the second derivative of c**4/3 + 8*c**3/3 + 6*c**2 + 33*c. Factor r(v).
4*(v + 1)*(v + 3)
Let b(z) be the first derivative of 0*z + 0*z**2 - 1/5*z**5 + 0*z**3 + 1/6*z**6 + 0*z**4 - 1. Solve b(q) = 0 for q.
0, 1
Suppose 2*k = -3*k + 2*o + 1, -2*k = 3*o + 11. Let p be 11 + (-1 - 3/k). Factor -14*x**2 - 1 + p*x - 3 + 5*x + 0.
-2*(x - 1)*(7*x - 2)
Solve -22/5*m**2 - 24/5*m - 8/5 - 6/5*m**3 = 0.
-2, -1, -2/3
Let l(k) = -2*k**3 + 7*k**2. Let g(s) = -s**3 - 4*s**2 + 6*s. Let r be g(-5). Let m(n) = -2*n**3 + 6*n**2. Let q(d) = r*m(d) + 4*l(d). Factor q(j).
2*j**2*(j - 1)
Let u(n) = -5*n**2 - 12*n + 19. Let b(x) = 3*x**2 + 6*x - 10. Let r(o) = -7*b(o) - 4*u(o). Let p be r(4). Find f, given that -f**p + 2 - f - 3*f + 5*f + 0 = 0.
-1, 2
Let i be -3 + 2 - 248/(-240). Let f(w) be the second derivative of -i*w**6 + 0*w**5 + 0*w**3 + w + 0 + 1/6*w**4 - 1/2*w**2. Factor f(a).
-(a - 1)**2*(a + 1)**2
Let m(n) be the second derivative of -n**6/90 - n**5/90 + 5*n**4/36 - 2*n**3/9 - n**2 - 3*n. Let j(c) be the first derivative of m(c). Factor j(u).
-2*(u - 1)*(u + 2)*(2*u - 1)/3
Factor 2/5*s**2 - 2/5 + 2/5*s - 2/5*s**3.
-2*(s - 1)**2*(s + 1)/5
Let g(r) be the second derivative of -r**5/35 + r**4/21 - 2*r. Factor g(b).
-4*b**2*(b - 1)/7
Let q(g) be the first derivative of 6/5*g + 1/5*g**3 - 3 + 9/10*g**2. Factor q(i).
3*(i + 1)*(i + 2)/5
Solve -720/7*z**2 - 60/7*z - 4320/7*z**3 - 15552/7*z**5 - 2/7 - 12960/7*z**4 = 0.
-1/6
Let z(s) = 3*s. Let j be z(2). Suppose 0 = -g + 4*g - j. Factor 2/7*l**g - 4/7 + 2/7*l.
2*(l - 1)*(l + 2)/7
Let j(f) be the second derivative of f**9/7560 - f**8/1680 - f**7/1260 + f**6/180 + f**4/6 + 6*f. Let l(i) be the third derivative of j(i). Factor l(b).
2*b*(b - 2)*(b - 1)*(b + 1)
Suppose 0*y**3 + 1/2*y**2 - 1/2*y**4 - 1/4*y + 1/4*y**5 + 0 = 0. What is y?
-1, 0, 1
Let m = -250 + 503/2. Let 6*k + 9*k**2 + m + 6*k**3 + 3/2*k**4 = 0. What is k?
-1
Let k(g) be the first derivative of g**4 - 8*g**3/3 + 23. Find b, given that k(b) = 0.
0, 2
Let g(f) = 24*f**5 + 28*f**4 + 12*f**2 - 24*f - 20. Let t(w) = w**5 + w**4 + w**2 - w - 1. Let y(x) = -g(x) + 20*t(x). Factor y(s).
-4*s*(s - 1)*(s + 1)**3
Let w(l) be the first derivative of l**4/4 + 4*l**3/3 + 2*l**2 - 17. Solve w(m) = 0 for m.
-2, 0
Let x(o) = -9*o**2 - 11*o - 2. Suppose -5*p = r + 19, 3*p - p + 6 = 0. Let l(y) = -5*y**2 - 6*y - 1. Let m(a) = r*x(a) + 7*l(a). Factor m(t).
(t + 1)**2
Factor 16/3*j**2 + 28/3*j + 4.
4*(j + 1)*(4*j + 3)/3
Let g(j) be the second derivative of -j**9/7560 + j**8/1120 - j**7/420 + j**6/360 + j**4/4 + j. Let y(a) be the third derivative of g(a). Factor y(o).
-2*o*(o - 1)**3
Solve -3*d**2 + 12*d - 7*d**2 - 3*d**2 + 16*d**2 + 12 = 0.
-2
Let n be (4/35)/((-8)/(-20)). Let u(i) = i + 1. Let c be u(1). Suppose 0 - 2/7*f**3 - n*f - 4/7*f**c = 0. What is f?
-1, 0
Let o(f) be the first derivative of -f**3/18 + 2*f**2/3 - 8*f/3 + 58. Factor o(h).
-(h - 4)**2/6
Let h(t) = 2*t**3 + t - t - t**2 - 3*t**2 + 2*t. Let j be h(2). Find v such that 2/3*v**j - 2/3*v**3 + 0 + 2/3*v - 2/3*v**2 = 0.
-1, 0, 1
Suppose 0 = 4*x - 7 - 45. Factor x*n**2 + 27/2*n**5 - 27/2*n**4 - 9/2*n + 1/2 - 9*n**3.
(n - 1)*(n + 1)*(3*n - 1)**3/2
Suppose 9 = 2*y + 5. Factor 1/4 + 3/2*g + 3/2*g**3 + 11/4*g**y.
(g + 1)*(2*g + 1)*(3*g + 1)/4
Let q(o) be the second derivative of o**5/120 + o**4/24 + o**3/12 + o**2/12 - 14*o. Determine n, given that q(n) = 0.
-1
Let i(o) be the first derivative of 0*o**2 - 2*o + 4/3*o**3 + 5/2*o**5 - 10/3*o**4 + 2. Let h(s) be the first derivative of i(s). Factor h(b).
2*b*(5*b - 2)**2
Let 1/5*d + 0 - 1/5*d**5 + 0*d**3 + 2/5*d**4 - 2/5*d**2 = 0. What is d?
-1, 0, 1
Let j(i) be the third derivative of i**6/240 - i**5/24 + 7*i**4/48 - i**3/4 + 5*i**2. Determine v so that j(v) = 0.
1, 3
Let c = 84 - 189. Let a be (-5)/(c/6)*7. Solve -4*x - 6*x**a - 2/3 = 0 for x.
-1/3
Let u(x) be the second derivative of -2*x**6/15 + 7*x**5/5 - 8*x**4/3 - 32*x**3/3 - 2*x - 6. Let u(b) = 0. What is b?
-1, 0, 4
Suppose -3*x + 4 + 2 = 0. Let g be (0 - 0)/(4/x). Factor 2/3*k + g + 2/3*k**3 - 4/3*k**2.
2*k*(k - 1)**2/3
Suppose -8*s = -2*s + 558. Let v be s/124*(-16)