hird derivative of l**6/840 + l**5/35 + 2*l**4/7 + 32*l**3/21 + 22*l**2. Determine g, given that q(g) = 0.
-4
Let d be 154/(-6) + 5/(-15). Let g be (-2)/(-5) - d/10. Let 6*i - 4*i**2 + 5*i**3 - 13*i**g + 0*i**5 + 4 + 2*i**5 = 0. What is i?
-1, 1, 2
Let b(d) = 4*d**4 + 33*d**3 + 23*d**2 - 24*d - 36. Let g(v) = v**4 + 8*v**3 + 6*v**2 - 6*v - 9. Let j(i) = 2*b(i) - 9*g(i). Solve j(c) = 0 for c.
-3, -1, 1
Let z(u) = 64*u**3 + 72*u**2 - 36*u - 44. Let i(k) = 7*k**3 + 8*k**2 - 4*k - 5. Let m(b) = 28*i(b) - 3*z(b). Suppose m(q) = 0. Calculate q.
-2, -1, 1
Let i be 7 + ((-6)/4 - (-6)/12). Let n(m) be the first derivative of -1 + 0*m**2 - m**4 + 0*m**3 + 1/3*m**i + 0*m - 2/5*m**5. Factor n(l).
2*l**3*(l - 2)*(l + 1)
Let t(u) be the first derivative of 5*u**4/4 + 35*u**3/3 + 75*u**2/2 + 45*u - 13. Find p, given that t(p) = 0.
-3, -1
Let v(u) be the third derivative of 5*u**8/336 - u**7/42 - u**6/12 + u**5/6 + 5*u**4/24 - 5*u**3/6 + 17*u**2. Factor v(q).
5*(q - 1)**3*(q + 1)**2
Let u be (15/10)/(-3)*0. Suppose u = 2*c + v - 7, -2*c + 23 = 3*c - 3*v. Suppose 0*m + 10/7*m**3 - 8/7*m**c + 0 + 2/7*m**5 - 4/7*m**2 = 0. Calculate m.
0, 1, 2
Factor 2/9*b**3 + 2/9*b**4 + 0 - 2/9*b**2 - 2/9*b.
2*b*(b - 1)*(b + 1)**2/9
Let d(q) be the second derivative of -q**4/6 + 4*q**3/3 - 3*q**2 + q. Factor d(h).
-2*(h - 3)*(h - 1)
Let o(b) be the third derivative of -b**8/480 + 2*b**7/945 + b**6/270 + b**4/24 + b**2. Let u(v) be the second derivative of o(v). Solve u(q) = 0 for q.
-2/7, 0, 2/3
Let b(q) be the first derivative of -3 + 0*q**2 + 9/25*q**5 + 2/5*q**3 - 3/4*q**4 + 0*q. Factor b(x).
3*x**2*(x - 1)*(3*x - 2)/5
Let d(z) be the first derivative of 7*z**3/9 - 8*z**2/3 + 4*z/3 + 1. Factor d(i).
(i - 2)*(7*i - 2)/3
Factor -1/2*b + 3/8*b**3 + 1/8*b**5 - 1/2*b**2 + 1/2*b**4 + 0.
b*(b - 1)*(b + 1)*(b + 2)**2/8
Let i(w) be the first derivative of -w**6/2160 + w**5/360 - w**4/144 + w**3 - 3. Let f(n) be the third derivative of i(n). What is b in f(b) = 0?
1
Let w(f) be the first derivative of -3*f**4/28 + 31*f**3/7 - 48*f**2 - 768*f/7 - 40. Factor w(z).
-3*(z - 16)**2*(z + 1)/7
Suppose 5*a + 7 = 22. Let j be a/(-3) + 0 + 3. Factor -8*k - k**4 - 3*k**4 - 8*k**3 + 5*k**4 + 12*k**2 + k**4 + j.
2*(k - 1)**4
Let j = -15 + 18. Let -6 + j*r**2 + 4*r**2 + 7*r - r**2 - 3*r**3 - 4*r = 0. What is r?
-1, 1, 2
Let b(x) be the third derivative of x**6/24 - x**5/3 - 95*x**4/24 - 35*x**3/3 - x**2 - 3. Factor b(h).
5*(h - 7)*(h + 1)*(h + 2)
Let m be 716/24 - (-2)/12. Let w be ((-4)/(-7))/(m/21). Factor -4/5*n**3 + w*n**5 - 2/5 - 2/5*n**4 + 4/5*n**2 + 2/5*n.
2*(n - 1)**3*(n + 1)**2/5
Let f be 358/(-162) + -2 + 4. Let v = 1/81 - f. Find l such that -4/9*l**2 + 2/9*l**3 + v*l + 0 = 0.
0, 1
Let a = 10 - -6. Suppose 4*n = b + 10, 6*n = -2*b + 2*n + a. Suppose 0*c**b + 0*c - 2/5*c**4 + 0 + 0*c**3 + 2/5*c**5 = 0. Calculate c.
0, 1
Let y be -1 + 2 - -1*2. Suppose y*o + 8 = 7*o. What is k in -2*k**3 + 6*k**2 - 5*k**o + 3*k**2 - 2*k = 0?
0, 1
Let q(g) be the third derivative of -3*g**8/224 - g**7/35 + g**6/20 + 3*g**5/20 - g**4/16 - g**3/2 + 24*g**2. Suppose q(j) = 0. Calculate j.
-1, 2/3, 1
Let h(f) be the second derivative of -3/40*f**5 + 0 + 0*f**2 + 1/24*f**4 + 2*f + 1/6*f**3. What is i in h(i) = 0?
-2/3, 0, 1
Let t(o) be the first derivative of -3/7*o**2 + 2/7*o**3 + 2/7*o - 1 - 1/14*o**4. Factor t(m).
-2*(m - 1)**3/7
Let n(b) = -10 + 2 + 1 + b. Let q be n(9). Suppose 4 + 175/2*o**3 - 6*o - 45*o**q = 0. Calculate o.
-2/7, 2/5
Let t(n) be the second derivative of 2*n**6/15 + 3*n**5/5 + 2*n**4/3 + 14*n. Factor t(h).
4*h**2*(h + 1)*(h + 2)
Let m(o) = 8*o**3 + 16*o**2 + 22*o + 14. Let p(t) = t**3 + t**2 + t + 1. Let c(y) = -2*m(y) + 12*p(y). Suppose c(a) = 0. What is a?
-2, -1
Suppose i = 4*d + 2, 0*d - 10 = 3*d - 5*i. Factor 6*m + 6*m**2 + 4 - 3*m**2 + d - 1.
3*(m + 1)**2
Let m(j) = 3*j**2 - 2*j + 1. Let p(a) = -a**2. Let t(d) = -m(d) - 2*p(d). Factor t(i).
-(i - 1)**2
Let o be (0 + -1)/(7/(-28)). Let v(c) be the first derivative of 1/6*c**2 - 1/9*c**3 + 1/3*c + 4 - 1/12*c**o. What is k in v(k) = 0?
-1, 1
Let d(t) be the second derivative of t**5/5 - t**4/2 - 2*t**3/3 + 10*t. Factor d(n).
2*n*(n - 2)*(2*n + 1)
Let d(w) be the first derivative of 4*w**3/15 + 6*w**2/5 + 16. Solve d(j) = 0 for j.
-3, 0
Suppose -19 = -5*n + 1. Suppose 3*m = 5*m - n. Find w such that -2/3 - 10/3*w**4 - 16/3*w**3 + 4*w**m + 4/3*w + 4*w**5 = 0.
-1, -1/2, 1/3, 1
Let m = -2/567 + 571/1134. Let j(u) be the third derivative of 0*u**5 + 0*u**3 + 0 + 0*u - 7/40*u**6 - 3/70*u**7 - 3*u**2 + m*u**4. Suppose j(t) = 0. What is t?
-2, -1, 0, 2/3
Find z, given that 4/13 + 6/13*z - 2/13*z**3 + 0*z**2 = 0.
-1, 2
Let c = -767/12 + 64. Let g(v) be the first derivative of -1/18*v**3 + 2 + 0*v + c*v**2. Factor g(r).
-r*(r - 1)/6
Let a(j) = j**4 + j**3 + 10*j**2. Let x(i) = -3*i**4 - 3*i**3 - 21*i**2. Let m(w) = -9*a(w) - 4*x(w). Let m(p) = 0. Calculate p.
-2, 0, 1
Suppose 7 = c + 5. Suppose 0 = -b + c*b. Suppose b + 1/2*m - 1/2*m**2 = 0. What is m?
0, 1
Let c(a) be the third derivative of -a**8/168 - 8*a**7/315 - a**6/30 + a**4/36 + 13*a**2. Let c(z) = 0. What is z?
-1, 0, 1/3
Let z(n) be the third derivative of -2*n**2 + 0*n**4 + 0*n**3 - 1/240*n**6 + 0*n + 0 - 1/120*n**5. Factor z(k).
-k**2*(k + 1)/2
Let l = 9 + -7. Let -2 + b - 2*b - 3*b - 2*b**l = 0. Calculate b.
-1
Let b(t) be the first derivative of -4/15*t**3 - 1 - 1/5*t**2 + 0*t. Factor b(a).
-2*a*(2*a + 1)/5
Let j be 4 - -4 - 6/2. What is d in j*d**2 - 3*d**3 + d**2 + 13*d - 16*d = 0?
0, 1
Let a(i) = i - 2. Let z be a(0). Let k be (8/(-3 - -1))/z. Find g such that k*g**3 - 2*g + 0 + 0 + 0 = 0.
-1, 0, 1
Let v(r) be the first derivative of -5*r**6/42 + 22*r**5/35 - 23*r**4/28 + 2*r**3/7 + 6. Determine u so that v(u) = 0.
0, 2/5, 1, 3
Let c be ((-2)/4)/(3/(-12)). Suppose -2*f = c - 6. Factor 2/5*b**f + 2/5*b + 0.
2*b*(b + 1)/5
Let d(p) be the second derivative of p**5/4 + 25*p**4/12 + 20*p**3/3 + 10*p**2 - 17*p. Factor d(g).
5*(g + 1)*(g + 2)**2
Let m(k) = k**3 - 6*k**2 + 9*k. Suppose 2*n - 3*n = -16. Let z(h) = 4*h**3 - 18*h**2 + 28*h. Let c(d) = n*m(d) - 5*z(d). Find b, given that c(b) = 0.
-2, 0, 1/2
Let p(s) be the first derivative of 0*s + 1/6*s**4 - 2/3*s**2 + 4 - 2/9*s**3. Determine h, given that p(h) = 0.
-1, 0, 2
Let s(b) be the first derivative of 245*b**6/24 - 119*b**5/4 - 25*b**4 + 230*b**3/3 + 70*b**2 + 20*b - 54. Find u, given that s(u) = 0.
-1, -2/7, 2
Solve -8*z**2 + 12*z - 12*z**3 + 4*z**5 + 0*z**5 + 11 - 4*z**3 - 3 = 0.
-1, 1, 2
Let b(s) be the third derivative of 2*s**7/105 + s**6/30 - s**5/5 - 5*s**4/6 - 4*s**3/3 + 23*s**2. Factor b(n).
4*(n - 2)*(n + 1)**3
Let h(k) = k**4 + k**3 + k. Let i(g) = 10*g**4 + 5*g**3 - 7*g**2 + g. Let p = 0 + -3. Let a(v) = p*h(v) + i(v). Factor a(u).
u*(u - 1)*(u + 1)*(7*u + 2)
Let q = 186 - 371/2. Factor q*v**2 + 1 + 3/2*v.
(v + 1)*(v + 2)/2
Let d be (-30)/(-20)*(-1 + 3). Let t(u) be the first derivative of 2/27*u**3 + d + 0*u**2 + 0*u - 1/18*u**4. Factor t(m).
-2*m**2*(m - 1)/9
Let i(x) be the third derivative of -x**6/480 + x**5/120 - x**4/96 + 17*x**2. Factor i(y).
-y*(y - 1)**2/4
Let d(f) be the second derivative of -f**7/420 - f**6/240 - f**2/2 + 4*f. Let s(o) be the first derivative of d(o). Let s(c) = 0. Calculate c.
-1, 0
Suppose 0 = -2*w - 32 + 38. Let y(t) be the first derivative of -3/8*t**4 + 3/4*t**2 + 0*t**w + 0*t - 2. Factor y(q).
-3*q*(q - 1)*(q + 1)/2
Find i such that 1/5*i**2 - 6/5 - 1/5*i = 0.
-2, 3
Let i be (1/1 - 1) + -48. Let v be (1/2)/((-2)/i). Suppose v*a**4 + 18*a + 6 + 2*a**2 + 30*a**2 + 28*a**3 + 2*a**5 - 2 = 0. Calculate a.
-2, -1
Let w(z) be the first derivative of -5*z**6/3 + 26*z**5/5 + z**4/2 - 34*z**3/3 + 4*z**2 + 8*z + 9. Find y such that w(y) = 0.
-1, -2/5, 1, 2
Let c(a) = -7*a**3 - 6*a**2 + 4*a + 6. Let d(j) = -21*j**3 - 19*j**2 + 12*j + 17. Let u(h) = 17*c(h) - 6*d(h). Factor u(l).
l*(l + 2)*(7*l - 2)
Let x(g) = g**3 - 3*g**2 - 2*g - 5. Let o be x(4). Let a(r) = -r**3 + 2*r**2 + 4*r. Let v be a(o). Factor -2*k**v + k**3 + 7*k**3 - k**4 - 12*k**2 + 8*k.
-k*(k - 2)**3
What is u in 6*u**2 + 2/3*u**4 - 14/3*u + 4/3 - 10/3*u**3 = 0?
1, 2
Let j be (-381)/(-12) - (-1)/4. Let q = 3 + -1. Suppose 0*a**2 - 16*a + 0 - q - j*a**2 = 0. Calculate a.
-1/4
Let g(o) = 36*o**5 - 110*o**4 + 51*o**3 + 11*o**2 + 11