8*s**3/21 - s**2/7 - 4. What is m in w(m) = 0?
-1, -1/4, 0, 1
Let i(m) be the third derivative of m**8/1344 - m**7/560 - m**6/120 - m**5/160 - 2*m**2 + 12*m. Find h such that i(h) = 0.
-1, -1/2, 0, 3
Let g(c) = -c**3 + 8*c**2 - 7*c + 2. Let s be g(7). Let h be s - 6/3*-1. Factor -4*k + 0*k - 2 + h*k**2 + 3.
(2*k - 1)**2
Let x be (-12)/(-8)*16/(-3). Let q = 13 + x. Factor -2/5*i**4 - 1/5*i + 1/5*i**q + 2/5*i**2 + 0*i**3 + 0.
i*(i - 1)**3*(i + 1)/5
Let s(r) = r - 1. Let w(g) = 4*g. Let b(x) = 5*s(x) - w(x). Let n be b(7). Factor -4*h**2 + 4*h**2 - n*h**3 + 2*h.
-2*h*(h - 1)*(h + 1)
Let f(q) be the first derivative of -3*q**4/16 + 9*q**2/8 + 3*q/2 - 23. Factor f(m).
-3*(m - 2)*(m + 1)**2/4
Let g(p) = -8*p**3 + 16*p**2 - 5*p - 2. Let l(j) = -40*j**3 + 81*j**2 - 26*j - 11. Let i(v) = -11*g(v) + 2*l(v). Find b, given that i(b) = 0.
0, 1/4, 3/2
Let j(n) be the first derivative of -n**6/2 + 6*n**5/5 + 9*n**4/4 - 8*n**3 + 6*n**2 + 4. Suppose j(x) = 0. Calculate x.
-2, 0, 1, 2
Let v(m) = 20*m**3 - 24*m**2 + 12*m + 4. Let o(p) = p**2. Let j(w) = 12*o(w) - v(w). Factor j(z).
-4*(z - 1)**2*(5*z + 1)
Let i(r) be the third derivative of -r**8/3360 - r**7/420 - r**6/180 - r**4/24 + 6*r**2. Let y(q) be the second derivative of i(q). Let y(z) = 0. Calculate z.
-2, -1, 0
Let j(d) be the third derivative of 3*d**2 + 0*d**6 + 0 + 1/630*d**7 + 0*d**3 - 1/36*d**4 - 1/60*d**5 + 0*d. Factor j(g).
g*(g - 2)*(g + 1)**2/3
Let f(h) be the third derivative of h**8/504 - h**7/105 + h**6/90 + 17*h**2. Factor f(n).
2*n**3*(n - 2)*(n - 1)/3
Let s(x) = -4*x**2 - 4*x + 9. Let q(u) = 3*u**2 + 3*u - 8. Let n(o) = -3*q(o) - 2*s(o). Solve n(k) = 0.
-3, 2
Let t be 85/(-153)*(-6)/50. Let d(y) be the second derivative of 0 + 1/10*y**5 + 0*y**3 + 0*y**4 + t*y**6 + y + 0*y**2. Find w, given that d(w) = 0.
-1, 0
Let d(o) be the first derivative of -o**6/120 + o**4/48 - o - 5. Let s(m) be the first derivative of d(m). Factor s(r).
-r**2*(r - 1)*(r + 1)/4
Suppose -1/4*d**2 - 1/2*d + 0 = 0. Calculate d.
-2, 0
Let a = -18841 + 1978372/105. Let l = a - -1/35. Factor -l*o**2 + 0 - 4/3*o.
-2*o*(o + 2)/3
Let i = -539 + 542. Find c, given that 4*c**2 + 17/2*c**i - 1/2 - 1/4*c + 7/4*c**5 + 13/2*c**4 = 0.
-1, 2/7
Factor 0 + 0*h - 2/9*h**2.
-2*h**2/9
Suppose -8/5*h**4 - 32/5*h**2 + 0 - 1/5*h**5 - 16/5*h - 24/5*h**3 = 0. Calculate h.
-2, 0
Let k(g) = -g**4 - 3*g**3 - 2*g**2 + 3. Let n(c) = c**4 + 3*c**3 + 2*c**2 - 2. Let z(w) = -2*k(w) - 3*n(w). Find p such that z(p) = 0.
-2, -1, 0
Suppose -5*y = 70 - 80. Find t such that -4/3*t**y + 0 - 2*t - 2/9*t**3 = 0.
-3, 0
Let y(t) = -5*t**3 + 2*t**2 - t + 4. Let m = -23 + 16. Let z(l) = -9*l**3 + 3*l**2 - 2*l + 7. Let b = -9 + 13. Let s(d) = b*z(d) + m*y(d). Solve s(g) = 0.
-1, 0
Let n(r) be the first derivative of -r**6/9 - 8*r**5/15 - 2*r**4/3 - 22. Factor n(x).
-2*x**3*(x + 2)**2/3
Let b(c) be the second derivative of -1/20*c**5 + 9*c - 1/6*c**4 + 0*c**2 - 1/6*c**3 + 0. Find o, given that b(o) = 0.
-1, 0
Let a = 33/74 - -2/37. Let q be (-21)/6 - (-4 - 0). Factor -q*b**2 + a*b + 0.
-b*(b - 1)/2
Let c be ((-6)/4)/((-5)/10). Find r such that -2*r**2 - 7*r**4 + 2*r**3 - 2*r + 13*r**4 - 7*r**4 + c*r**2 = 0.
-1, 0, 1, 2
Factor 363/5 - 66/5*q + 3/5*q**2.
3*(q - 11)**2/5
Let k = -1/721 + 829/77868. Let s(b) be the third derivative of 0 - 1/270*b**5 + 0*b - k*b**4 + 1/540*b**6 - 2*b**2 + 1/27*b**3. Solve s(g) = 0 for g.
-1, 1
Let f = -12 + 14. Suppose -f*q + x + 2*x = -10, 6 = q - 2*x. Let 2/3*z**3 + 5/3*z**4 - 5/3*z**q + 0 - 2/3*z = 0. What is z?
-1, -2/5, 0, 1
Suppose -1/3 - o**2 + o + 1/3*o**3 = 0. What is o?
1
Let a(y) be the first derivative of 2*y**3/15 + 2*y**2/5 + 2*y/5 + 13. Factor a(q).
2*(q + 1)**2/5
Let z(o) = o**2 + 13*o + 15. Let u be z(-12). Let x(a) be the first derivative of 0*a**2 + 0*a + 2 - 2/21*a**u. Let x(q) = 0. Calculate q.
0
Suppose 58 = 4*l + 3*c, -l + 4*c = -3*l + 24. Let i be ((-10)/40)/((-6)/l). Solve -2/3*t - 4/3*t**2 - i*t**3 + 0 = 0.
-1, 0
Let z = -161/5 - -167/5. Factor z*y - 2/5*y**3 - 4/5 + 0*y**2.
-2*(y - 1)**2*(y + 2)/5
Let g(j) = j**2 + 17*j + 18. Let z be g(-16). Let s(f) be the first derivative of -1/6*f**3 + 2 + 0*f + 1/4*f**z. Factor s(a).
-a*(a - 1)/2
Let w(q) = -5*q + 38. Let y be w(7). Factor 2/3*k**y - 4/9*k + 2/9*k**2 + 0.
2*k*(k + 1)*(3*k - 2)/9
Let x = 35 - 32. Determine t, given that 0 + 1/4*t**4 + 1/4*t + 3/4*t**x + 3/4*t**2 = 0.
-1, 0
Let v(a) = 8*a**3 + 7*a**4 + a**4 - 10*a - 2*a**5 + 4*a**5. Let t(r) = -2*r**5 - 8*r**4 - 8*r**3 + r**2 + 10*r + 1. Let n(p) = -4*t(p) - 3*v(p). Factor n(h).
2*(h - 1)*(h + 1)**3*(h + 2)
Suppose -4*w - 4 = -28. Let r = -3 + w. Determine f, given that -2*f**5 + 0*f + 2*f**r - 2/3*f**2 + 0 + 2/3*f**4 = 0.
-1, 0, 1/3, 1
Determine u, given that -8/7*u**2 + 18/7*u + 18/7*u**5 + 4/7*u**4 + 4/7 - 36/7*u**3 = 0.
-1, -2/9, 1
Determine f so that 2/7*f**4 + 0*f + 2/7*f**2 + 4/7*f**3 + 0 = 0.
-1, 0
What is h in 1/7*h**4 - 2/7*h - 1/7 + 2/7*h**3 + 0*h**2 = 0?
-1, 1
Let l(k) be the first derivative of k**8/3360 + k**7/560 + k**6/720 - k**5/80 - k**4/24 + k**3 - 4. Let t(z) be the third derivative of l(z). Factor t(u).
(u - 1)*(u + 1)**2*(u + 2)/2
Let a(z) be the first derivative of 1 + 2*z + 0*z**3 + 0*z**2 + 1/24*z**4. Let b(v) be the first derivative of a(v). Factor b(w).
w**2/2
Let s(y) be the second derivative of -2/5*y**5 + 0*y**3 - 4/5*y**6 + 0 - 3/7*y**7 + 0*y**4 + 0*y**2 - 2*y. Factor s(a).
-2*a**3*(3*a + 2)**2
Solve 1/2*l**2 - 3*l + 5/2 = 0 for l.
1, 5
Let a(c) be the third derivative of -c**6/120 - c**2. Let z(v) = -2*v**4 - 16*v**2 + 8*v. Let w(g) = 10*a(g) - z(g). Factor w(j).
2*j*(j - 2)**2*(j - 1)
Suppose 4 = -2*p - 4*m + 24, -4*m + 16 = 0. Suppose -2*c = p*c. Determine n, given that 2/7*n**2 + c + 0*n + 6/7*n**4 - 6/7*n**3 - 2/7*n**5 = 0.
0, 1
Let j be (-11)/(-5) - (-2)/(-1). Let m(h) be the second derivative of 0 + j*h**2 + h + 2/15*h**3 + 1/30*h**4. Solve m(x) = 0.
-1
Let p(j) = j**2 - 9*j - 8. Let r be p(10). What is f in f**2 - 4*f**5 - 5*f**5 + 24*f**3 - 3*f**4 - 13*f**r = 0?
-2, 0, 2/3, 1
Let i(w) be the third derivative of -w**8/12 - 17*w**7/105 + w**6/10 + 7*w**5/30 - w**4/6 - 3*w**2. Determine q so that i(q) = 0.
-1, 0, 2/7, 1/2
Let h(s) be the third derivative of 1/36*s**4 - 1/30*s**5 + 8*s**2 + 0 + 0*s**3 + 1/90*s**6 + 0*s. Determine m so that h(m) = 0.
0, 1/2, 1
Factor 0 - 3/7*y**2 - 9/7*y.
-3*y*(y + 3)/7
Let k(a) = -10*a**2 + 17*a - 41. Let c(x) = 7*x**2 - 11*x + 27. Let v(q) = 7*c(q) + 5*k(q). Factor v(z).
-(z - 4)**2
Factor 2/9*f**2 + 2/9 + 4/9*f.
2*(f + 1)**2/9
Let a(f) = -5*f - 20. Let i be a(-6). Factor r + 24*r**2 - i*r**3 + r + 6*r**4 - 22*r**2.
2*r*(r - 1)**2*(3*r + 1)
Let k(g) be the first derivative of g**6/27 - 4*g**5/45 - g**4/9 + 8*g**3/27 + g**2/9 - 4*g/9 + 7. Suppose k(r) = 0. What is r?
-1, 1, 2
Let w(x) be the second derivative of -x**8/504 - x**7/315 + x**6/60 + x**5/18 + x**4/18 + x**2 - x. Let n(f) be the first derivative of w(f). Factor n(h).
-2*h*(h - 2)*(h + 1)**3/3
Let o = 2/455 - -447/1820. Factor o*i**3 + 1/4*i**2 + 0 - 1/2*i.
i*(i - 1)*(i + 2)/4
Let k(l) = l**3 - 2*l**2 - 5*l. Let q be k(4). Let h be -2 + 5 - 28/q. Determine a so that -h*a**3 + 4/3*a**2 + 0 - 2/3*a = 0.
0, 1
Find h such that -4*h**3 + h**2 + 7 - 19 + h**2 + 20*h - 6*h**2 = 0.
-3, 1
Let b = 2/33 - -1/44. Let z(s) be the first derivative of 0*s + 0*s**2 - 1/15*s**5 + 1 + 1/9*s**3 - 1/18*s**6 + b*s**4. Let z(g) = 0. Calculate g.
-1, 0, 1
Factor t**2 - 2*t**2 + 2*t**2 - 2 - 4*t - 3*t**2.
-2*(t + 1)**2
Factor 0 + 0*u + 2/21*u**4 - 2/7*u**2 - 4/21*u**3.
2*u**2*(u - 3)*(u + 1)/21
Let c(r) be the second derivative of -3*r**5/20 + r**4/12 + 2*r**3/3 + 3*r. Let i(u) = -2*u**3 + u**2 + 3*u. Let m(z) = -5*c(z) + 7*i(z). Factor m(t).
t*(t + 1)**2
Let s(u) = 6*u**2 + 4*u - 11. Let c(l) = l**2 + l - 2. Let p(o) = 11*c(o) - 2*s(o). Let i be p(3). Factor 3*k**2 - 2*k - k**2 + i*k.
2*k*(k - 1)
Let z(o) be the third derivative of -o**8/23520 - o**7/8820 - o**4/24 + 2*o**2. Let l(d) be the second derivative of z(d). Let l(p) = 0. Calculate p.
-1, 0
Let q(f) = -3*f**2 + f - 8. Let n(m) = m**2 + m + 1. Let b(s) = 4*n(s) + q(s). Let d be b(-6). Factor -d*j**4 - 6*j**5 - j**4 - 8*j**5 - j**4.
-2*j**4*(7*j + 2)
Let h(g) be the third derivative of -2*g**7/105 + g**6/10 + g**5/15 - g**4/2 + 17*g**2.