rivative of o(h). Factor w(g).
-g*(g - 1)*(g + 1)**3/4
Let v(u) be the second derivative of 3/140*u**5 + 6/7*u**2 + 4*u + 0*u**3 - 3/28*u**4 + 0. What is j in v(j) = 0?
-1, 2
Factor -5*u + 24*u - 4*u**2 + 5*u**2 - 14*u + 6.
(u + 2)*(u + 3)
Let f(l) = l**3 - l**2 + l - 1. Let g(i) = 2*i**5 - 10*i**4 + 20*i**3 - 16*i**2 + 6*i - 2. Let b(h) = -2*f(h) + g(h). Determine v, given that b(v) = 0.
0, 1, 2
Let b(o) = o - 2. Let n be b(4). Solve -2/7*r**n + 2/7 + 0*r = 0.
-1, 1
Let s = 257/15 + -17. Let r(p) be the first derivative of -1/3*p**4 + 0*p**2 - 2/9*p**3 + 0*p - 3 - s*p**5. Factor r(n).
-2*n**2*(n + 1)**2/3
Let u(z) = z**3 + z**2 - z. Let s(d) = -d**4 - 2*d**3 + 2*d. Let h(j) = 2*s(j) + 2*u(j). Factor h(g).
-2*g*(g - 1)*(g + 1)**2
Solve -729*n**3 - 405*n**2 - 2187/8*n**4 - 6 - 84*n = 0.
-2, -2/9
Let k = 6 - 2. Suppose -11*n = -4*n - 21. Suppose -c + c**3 - c**k + n*c**2 - 2*c**2 + 0*c**4 = 0. What is c?
-1, 0, 1
Let h(o) be the second derivative of -o**4/12 - 3*o + 10. Factor h(n).
-n**2
Let d(f) be the third derivative of f**8/112 - f**6/20 + f**4/8 - 2*f**2. Factor d(c).
3*c*(c - 1)**2*(c + 1)**2
Let v(u) = u**2 + u. Let t be v(1). Let y(c) be the first derivative of 1/6*c**6 + 1/3*c**3 + 0*c**t - 1/4*c**4 - 2 - 1/5*c**5 + 0*c. Factor y(i).
i**2*(i - 1)**2*(i + 1)
Let v(i) be the second derivative of 3*i**4/8 - 11*i**3/12 + i**2/2 + 3*i + 18. Factor v(g).
(g - 1)*(9*g - 2)/2
Let f(b) be the second derivative of -b**7/735 + b**6/420 + b**5/210 - b**4/84 + 3*b**2 - 2*b. Let o(t) be the first derivative of f(t). Factor o(s).
-2*s*(s - 1)**2*(s + 1)/7
Let d = -87 + 177/2. Determine j so that -6*j**2 - 3/2*j + 0 - d*j**5 - 9*j**3 - 6*j**4 = 0.
-1, 0
Suppose -2*b - 21 = -7*b + 4*f, 2*b - 7 = 3*f. Let k be 1/(-5) - 11/(-5). Determine i, given that -5 + b - 2*i**k = 0.
0
Suppose -3*u + 2 = -4. Factor -s + s - 2*s**4 - 4*s - 14*s**2 + 20*s**u.
-2*s*(s - 1)**2*(s + 2)
Let o(l) be the third derivative of l**9/1512 - l**7/140 - l**6/90 + 2*l**3/3 - l**2. Let u(x) be the first derivative of o(x). Let u(s) = 0. Calculate s.
-1, 0, 2
Let z(c) be the first derivative of -c**6/12 - c**5/5 + c**3/3 + c**2/4 + 8. Factor z(l).
-l*(l - 1)*(l + 1)**3/2
Let v(r) be the third derivative of -7*r**2 + 1/36*r**3 + 1/1260*r**7 - 1/180*r**5 + 0*r + 0*r**4 + 0 + 0*r**6. Solve v(z) = 0 for z.
-1, 1
What is k in 1/7*k + 1/7*k**2 - 2/7 = 0?
-2, 1
Suppose -5*k + 4 = 2*o, 4*k - 6*k + 3*o = -13. Factor -1 - 3*u**k + 4 + 1 + 2*u**3 + u**4 - 4*u + 0.
(u - 1)**2*(u + 2)**2
Factor 1/3*k**2 - 3*k + 8/3.
(k - 8)*(k - 1)/3
Determine p, given that -7*p**4 + 0*p + 6*p - 8*p**4 + 3*p**5 + 27*p**3 - 21*p**2 = 0.
0, 1, 2
Let m(t) be the third derivative of -t**7/12 + 25*t**6/96 - 13*t**5/48 + 5*t**4/48 - t**2. Suppose m(g) = 0. Calculate g.
0, 2/7, 1/2, 1
Let k(s) be the third derivative of 0*s - 1/3*s**3 + 0 - 1/30*s**5 + 3*s**2 + 1/6*s**4. What is w in k(w) = 0?
1
Let l(h) = h**3 + 25*h**2 + 113*h - 6. Let w be l(-6). Factor 4/3*u + w + 2/3*u**2 - 2/3*u**3.
-2*u*(u - 2)*(u + 1)/3
Factor -1/5*c - 1/10*c**3 + 3/10*c**2 + 0.
-c*(c - 2)*(c - 1)/10
Let s = 603 - 9041/15. Factor 2/5 - 8/15*b - 2/3*b**2 + s*b**3.
2*(b - 3)*(b + 1)*(2*b - 1)/15
Let z(t) be the second derivative of -t**6/90 - 2*t**3/3 + 5*t. Let i(f) be the second derivative of z(f). What is b in i(b) = 0?
0
Let m be (27 - 31)*(-1)/2*1. Let p = 149/2 - 1337/18. Let 18 + p*k**4 + 8/3*k**3 + 24*k + 12*k**m = 0. Calculate k.
-3
Factor 3*m**4 + 12*m**3 - 7*m**4 + 0*m**3.
-4*m**3*(m - 3)
Suppose -2*g + 6*g - 48 = 0. Suppose 120*a**3 + 106*a**4 + 10 + 2 - 129*a**2 - g*a + 119*a**4 = 0. What is a?
-1, -1/3, 2/5
Let l(n) be the first derivative of -2*n**5/15 + 2*n**4/3 - 4*n**3/3 + 4*n**2/3 - 2*n/3 + 11. Let l(i) = 0. What is i?
1
Let k(g) be the second derivative of -g**4/18 + 8*g**3/27 + g**2/3 - 9*g. Factor k(y).
-2*(y - 3)*(3*y + 1)/9
Suppose -7*r + 9 = -19. Let p(v) be the first derivative of 0*v - 5*v**3 + 3*v**r + 1 - 3/5*v**5 + 3*v**2. Factor p(h).
-3*h*(h - 2)*(h - 1)**2
Let g(a) be the third derivative of 0*a - 10*a**2 + 0*a**3 + 0 - 1/40*a**5 + 1/16*a**4. Let g(p) = 0. What is p?
0, 1
Suppose 25 = -4*x + 61. Determine l, given that x*l**3 + 7*l**3 - 2*l**4 - 4*l**3 - 15*l**2 + 6*l - l**4 = 0.
0, 1, 2
Factor -4/7*l**5 - 8/7 - 8*l**3 - 24/7*l**4 - 36/7*l - 64/7*l**2.
-4*(l + 1)**4*(l + 2)/7
Let y(t) be the second derivative of 0 - 1/60*t**5 - 1/120*t**6 + 0*t**4 + 0*t**3 + 3/2*t**2 + 3*t. Let k(m) be the first derivative of y(m). Factor k(l).
-l**2*(l + 1)
Suppose -3*r - o + 19 = 0, -4*o = r + 4*r - 41. Suppose 0 = i + 4*g - 22, r*g = -i - 2*i + 31. Suppose -3 + d**i + 3 = 0. Calculate d.
0
Let f(m) = -m - 10. Let l be f(-10). Let h be l*-1*(-3)/(-6). Suppose -1/4*r**2 + h*r + 0 - 1/4*r**3 = 0. What is r?
-1, 0
Let p(w) be the third derivative of w**8/336 - w**6/40 + w**5/30 + 5*w**2. Factor p(h).
h**2*(h - 1)**2*(h + 2)
Let i(n) be the third derivative of n**7/1680 + n**6/180 + n**5/48 + n**4/24 + n**3 - 6*n**2. Let r(y) be the first derivative of i(y). Solve r(l) = 0.
-2, -1
Let w(n) = n - 1. Let o be w(1). Let b be (-1 + o/(-1))*0. Find x such that b - 2/11*x - 2/11*x**2 = 0.
-1, 0
Let a(t) be the third derivative of t**8/3864 - 2*t**2 - 6*t. Let a(d) = 0. Calculate d.
0
Suppose p + 2*s = 5*p - 68, 20 = -5*s. Suppose -3*l - 6 = -p. Factor 4*u**3 + 2*u**5 - 4*u**l + 2*u**4.
2*u**4*(u + 1)
Let k(a) = -6*a**3 + 9*a**2 - 12*a. Let s(f) = -3*f**3 + 5*f**2 - 6*f. Let m(p) = -4*k(p) + 9*s(p). What is t in m(t) = 0?
0, 1, 2
Factor 10*s**2 + 13*s**2 - 6*s**4 + 2*s**4 - 19*s**2.
-4*s**2*(s - 1)*(s + 1)
Let v be ((-4)/(-5))/((-2)/10). Let g(b) = 2*b**5 + 2*b**4 + 6*b**3 - 2*b**2. Let s(t) = t**5 + t**3. Let o(h) = v*s(h) + g(h). Factor o(c).
-2*c**2*(c - 1)**2*(c + 1)
Let f be 0 + -2*1 + -1. Let o = f - -6. Find r, given that -5*r**2 + 6*r**2 + 0*r**3 + r**o = 0.
-1, 0
Let w(z) be the third derivative of z**5/60 + 3*z**2. What is m in w(m) = 0?
0
Factor 3*m + 8*m**2 - 13*m**2 - 8*m.
-5*m*(m + 1)
Let q(d) be the third derivative of 0 - 2*d**2 + 0*d - 2/9*d**3 - 1/18*d**4 - 1/180*d**5. Factor q(c).
-(c + 2)**2/3
Let t be (-60)/(-14) - (-2)/(-7). Let p be 33/9 - 4/6. Factor 2/3*w**p + 0 - 2/3*w**5 - 2/3*w**t + 0*w + 2/3*w**2.
-2*w**2*(w - 1)*(w + 1)**2/3
Let p(q) = q + 11. Let b be p(-9). Suppose -2 - 4 + 2*x**b + 6 = 0. What is x?
0
Let c(y) = 3 + 15*y + y**3 - 29*y - 1 + 11*y. Let t be c(2). Factor 4/5*n - 4/5*n**3 + 0 - 2/5*n**t + 2/5*n**2.
-2*n*(n - 1)*(n + 1)*(n + 2)/5
Let q(b) be the first derivative of -b**6/3 - 14*b**5/5 - 5*b**4/2 + 14*b**3/3 + 6*b**2 + 45. Let q(k) = 0. Calculate k.
-6, -1, 0, 1
Let x(z) be the second derivative of -1/50*z**5 - 2/15*z**3 - 1/10*z**4 + 6*z + 0 + 0*z**2. What is d in x(d) = 0?
-2, -1, 0
Let r be (12/1)/(40/(4 - 0)). Suppose r*a + 2/5 + 4/5*a**2 = 0. What is a?
-1, -1/2
Let n(p) be the third derivative of -p**2 + 0 + 0*p + 1/32*p**4 + 1/12*p**3 - 1/160*p**6 - 1/840*p**7 - 1/240*p**5. Suppose n(z) = 0. Calculate z.
-2, -1, 1
Factor -56/3*c - 16/3*c**3 - 62/3*c**2 + 8/3.
-2*(c + 2)**2*(8*c - 1)/3
Let a = 770 - 766. Solve 0 - 2/3*p**a + 0*p - 4/3*p**3 + 0*p**2 = 0 for p.
-2, 0
Suppose 4*g - 5*t = 17 - 4, -4*g = t - 7. What is v in g + v**2 + v**2 - 3*v + 0*v - v = 0?
1
Let w = 6 - 7. Let h = w + 3. Factor -4*z**2 - 2 + 3*z**2 + h*z**2 + z**2.
2*(z - 1)*(z + 1)
Let x(o) be the third derivative of 0*o + 1/15*o**5 + 0 + 0*o**3 - 1/60*o**6 - 1/12*o**4 + 3*o**2. Find k, given that x(k) = 0.
0, 1
Let l = -16/21 - -374/105. Factor -2/5 - 12/5*o**2 + l*o.
-2*(o - 1)*(6*o - 1)/5
Let m be (54/(-15))/((-6)/15). Suppose 3*b = 5*r + 21, -3*b + r + m = -0*r. Suppose -4/7 - 6/7*k + 4/7*k**b + 6/7*k**3 = 0. What is k?
-1, -2/3, 1
Let c(r) = r + 22. Let g be c(-12). Suppose 13*b**3 - 3*b**3 - g*b - 33*b**2 + 12 - 2*b + 27*b**4 + 8*b**3 = 0. Calculate b.
-1, 2/3
Find b, given that -4/5 - 2/5*b + 2/5*b**2 = 0.
-1, 2
Let v(z) be the first derivative of z**7/630 + z**6/180 + z**5/180 - 3*z**2/2 + 2. Let c(s) be the second derivative of v(s). Factor c(q).
q**2*(q + 1)**2/3
Find n, given that -3/4*n**5 + 0 - 3/2*n**2 + 3*n**3 - 9/4*n + 3/2*n**4 = 0.
-1, 0, 1, 3
Suppose 4 = f + 1. Suppose f = -3*w + 24. Factor 3*d**2 - 6*d**3 + 12*d**3 - 2*d - w*d**2.
2*d*(d - 1)*(3*d + 1)
Let n(u) be the second derivative of -u**5/140 -