e of q(x). Factor o(m).
m**2/4
Let a(s) be the second derivative of -s**6/195 + 2*s**5/65 - 2*s**4/39 + 2*s. Factor a(c).
-2*c**2*(c - 2)**2/13
Suppose 5/3*z**3 + 2/3*z**2 - z**5 + 0 - 4/3*z**4 + 0*z = 0. What is z?
-2, -1/3, 0, 1
Let t = 187/1050 + -2/175. Let i(l) be the first derivative of t*l**2 + 2/9*l**3 - 1/12*l**4 + 3 - 2/3*l. Let i(y) = 0. Calculate y.
-1, 1, 2
Let i(h) be the first derivative of h**5/15 + 11*h**4/12 + 4*h**3 + 8*h**2/3 - 64*h/3 - 1. Find f such that i(f) = 0.
-4, 1
Let a(k) be the second derivative of k**8/7560 + k**7/1890 + k**6/1620 + k**3/3 + 3*k. Let r(x) be the second derivative of a(x). Suppose r(p) = 0. Calculate p.
-1, 0
Suppose -4*s - 4*q + 36 = 0, 3*s - 4*q - 6 = 7. Factor -13*c**3 + 8*c**4 - 4*c**5 + s*c**3 + 2*c**3.
-4*c**3*(c - 1)**2
Let g = -19 - -22. Let r(h) be the second derivative of 1/9*h**2 - 5/27*h**g + 7/54*h**4 + 0 - 1/30*h**5 - h. Factor r(i).
-2*(i - 1)**2*(3*i - 1)/9
Let z(c) = c**4 - c**3 + c**2 - c. Let l(f) = -14*f**4 + 6*f**3 - 14*f**2 + 18*f + 4. Let i(v) = -l(v) - 12*z(v). Find x such that i(x) = 0.
-2, -1, 1
Let g(c) be the third derivative of 0 + 0*c**3 + 0*c + 0*c**4 - 1/30*c**5 - c**2. Find q, given that g(q) = 0.
0
Let g be ((-1)/(-4))/(9/180). Let m(t) be the third derivative of 0*t**4 - 1/780*t**6 + 0 + 4*t**2 + 0*t - 1/390*t**g + 0*t**3. Suppose m(j) = 0. What is j?
-1, 0
Let r = 1554 + -279719/180. Let k(p) be the third derivative of 1/120*p**5 + 0*p + 0 + 1/1260*p**7 - r*p**6 - 1/9*p**3 + 1/36*p**4 + p**2. Factor k(n).
(n - 2)**2*(n - 1)*(n + 1)/6
Let y(z) be the second derivative of -8/63*z**7 - 3*z + 1/3*z**5 + 4/45*z**6 - 1/18*z**4 - 4/9*z**3 + 0 - 1/3*z**2. Find g such that y(g) = 0.
-1/2, 1
Let 40*i**3 - 15*i**2 + 6*i**4 - 2*i**4 + 22*i**4 + 20*i**5 + 49*i**4 = 0. Calculate i.
-3, -1, 0, 1/4
Let c(v) = -14*v - 20. Let l(x) = 5*x + 7. Let t(k) = 6*c(k) + 17*l(k). Let r be t(5). Find w such that 6*w**2 - r*w + 0*w**2 + 6*w = 0.
-1/3, 0
Let g(b) = 21*b**5 + 11*b**4 + 11*b**3 + 21*b**2 + 13*b. Let k(u) = 5*u**5 + 3*u**4 + 3*u**3 + 5*u**2 + 3*u. Let v(n) = -6*g(n) + 26*k(n). Factor v(j).
4*j**2*(j + 1)**3
Let j(d) be the second derivative of 0 + 1/25*d**6 - 1/5*d**2 + 1/25*d**5 - d - 1/5*d**3 + 1/105*d**7 - 1/15*d**4. Factor j(k).
2*(k - 1)*(k + 1)**4/5
Suppose 7*s - 5*s - 4 = 0. Factor s*k + 11*k - 3*k**2 - 10*k.
-3*k*(k - 1)
Suppose u - 9*y - 13 = -11*y, -14 = 2*u - 4*y. Factor 0 + 2/3*t**4 + 0*t - 4/3*t**2 + 2/3*t**u.
2*t**2*(t - 1)*(t + 2)/3
Let y(s) = s**3 + 6*s**2 - 8*s - 5. Let w be y(-7). Let j(r) be the second derivative of 1/80*r**5 + 0 + 0*r**3 + 1/120*r**6 + 0*r**4 + 0*r**w - r. Factor j(z).
z**3*(z + 1)/4
Let t = -1847/24 + 77. Let x(d) be the third derivative of -t*d**3 - 1/240*d**5 + 0*d + 1/48*d**4 + 0 + d**2. Solve x(r) = 0 for r.
1
Let p(n) = 4*n**3 - 7*n**2 - 6*n. Let s(w) = 5*w**3 - 8*w**2 - 7*w. Let x(k) = 6*p(k) - 5*s(k). Factor x(d).
-d*(d + 1)**2
Determine j so that 0*j - 1/4*j**4 + 0*j**3 + 0 + 1/4*j**2 = 0.
-1, 0, 1
Let j(h) = -15*h**2 + 5*h. Let o(w) = 7*w**2 - 3*w. Let l(i) = -2*j(i) - 5*o(i). Factor l(b).
-5*b*(b - 1)
Let p(z) be the third derivative of -1/315*z**7 + 0*z + 0 + 1/270*z**6 + 0*z**3 + 0*z**4 - 3*z**2 - 5/1512*z**8 + 0*z**5. Find v, given that p(v) = 0.
-1, 0, 2/5
Let o be 1 - (-4 - (-6 + 3)). Let m = 15 + -9. Factor 0*n**3 + 6*n**3 + 0*n**3 + m*n**o + 2*n**4 + 2*n.
2*n*(n + 1)**3
Let c(w) be the first derivative of w**9/16632 - w**7/1540 + w**6/990 - 4*w**3/3 + 2. Let f(b) be the third derivative of c(b). Factor f(u).
2*u**2*(u - 1)**2*(u + 2)/11
Factor 2/5*w**5 + 0 + 4/5*w**2 + 0*w + 8/5*w**4 + 2*w**3.
2*w**2*(w + 1)**2*(w + 2)/5
Let t(m) be the first derivative of -1 + 1/6*m**3 + 0*m - 1/2*m**2. Solve t(w) = 0 for w.
0, 2
Suppose -21 = -4*o + 39. Suppose w = 6*w - o. What is t in 9*t + 27*t**3 - 11*t**w - 1 - 31*t**2 + 7*t**2 = 0?
1/4, 1
Let m(y) be the third derivative of y**7/70 + y**6/40 - 12*y**2. Factor m(s).
3*s**3*(s + 1)
Factor -3*r**2 - 3*r**4 - 7*r**3 - 4*r**2 - 6*r - 8*r**2 - 5*r**3.
-3*r*(r + 1)**2*(r + 2)
Let i(f) be the first derivative of f**3/18 - 2*f/3 - 9. Let i(g) = 0. What is g?
-2, 2
Let d(f) = -f**2 - 10*f + 8. Let k be d(-10). Suppose -2*t - k = -4*t. Factor 2*s**t - 4*s + 2*s**2 - 4*s**4 + 5*s - s**5.
-s*(s - 1)*(s + 1)**3
Suppose -71*a + 76*a - 10 = 0. Solve -1008*o**a + 1470*o**3 - 24 - 1029/2*o**4 + 264*o = 0 for o.
2/7, 2
Let c = -8 + 13. Suppose -w = c*w. Factor -2/3*s**2 - 16/3*s**4 + w*s - 7/3*s**5 - 11/3*s**3 + 0.
-s**2*(s + 1)**2*(7*s + 2)/3
Let x be (-110)/(-39) + (-88)/572. Let -8/3*h - x - 2/3*h**2 = 0. What is h?
-2
Let f(b) = b - 6. Let c be f(6). Determine a so that a - a**2 + c + 0 = 0.
0, 1
Suppose -23 = 2*z - 23. Let 1/5*b**4 + 0*b + z*b**3 + 0 - 1/5*b**2 = 0. Calculate b.
-1, 0, 1
Let o be -1 - -3 - (-3 - 0). Suppose 10 = -4*w + 4*m + 50, 0 = -o*w + m + 30. Factor -2/9*s**3 + 0 + 0*s + 2/9*s**w + 2/9*s**4 - 2/9*s**2.
2*s**2*(s - 1)*(s + 1)**2/9
Let z(v) be the third derivative of v**7/1470 - v**6/840 - v**5/210 - 9*v**2 + 1. Solve z(i) = 0.
-1, 0, 2
Let o(i) be the first derivative of -3*i**7/140 + i**6/120 + i**5/30 - i**4/24 + 3*i**3 + 2. Let n(p) be the third derivative of o(p). Factor n(r).
-(2*r + 1)*(3*r - 1)**2
Factor -24/11*o + 8/11 + 10/11*o**2.
2*(o - 2)*(5*o - 2)/11
Let k = -35 + 37. Let t(o) be the second derivative of 7/12*o**3 + 1/2*o**k + 0 - 1/6*o**4 + 4*o. Factor t(h).
-(h - 2)*(4*h + 1)/2
Let i = 419/154 - 26/11. Let j = 1/7 + i. Factor j*a**3 - 3/2*a**2 + 3/2*a - 1/2.
(a - 1)**3/2
Factor -30*u - 5*u**4 + 5*u**2 - 10*u**3 - 31*u + 71*u.
-5*u*(u - 1)*(u + 1)*(u + 2)
Let j(v) be the first derivative of v**6/6 + 12*v**5/35 - v**4/7 - 2*v**3/3 - 3*v**2/14 + 2*v/7 + 16. Factor j(h).
(h - 1)*(h + 1)**3*(7*h - 2)/7
Let s(a) = a**4 - a**2. Let b(i) = -2*i**4 + 2*i**3 + 2*i**2 - 2*i. Let d(k) = -2*b(k) - 6*s(k). Factor d(u).
-2*u*(u - 1)*(u + 1)*(u + 2)
Let w(r) = r**2 + 6*r - 4. Let h be w(2). Let f(c) = -c**3 + c**2. Let q(m) = 6*m**3 - 5*m**2 - m. Let p(a) = h*f(a) + 3*q(a). Factor p(u).
3*u*(u - 1)*(2*u + 1)
Let y(p) be the first derivative of p**2 - 4/3*p**3 + 2*p - p**4 + 1/3*p**6 + 2 + 2/5*p**5. Factor y(g).
2*(g - 1)**2*(g + 1)**3
Let k(j) be the second derivative of 1/5*j**5 - j**3 + 1/5*j**6 - j**2 + 2*j - 1/3*j**4 + 1/21*j**7 + 0. Let k(n) = 0. Calculate n.
-1, 1
What is k in 0 - 1/4*k**3 + 1/2*k**2 - 1/4*k = 0?
0, 1
Let i(b) = b**3 + 7*b**2 - b - 2. Let r be i(-7). Suppose -r*o + 5 = -5. What is k in -27/2*k**o + 2 + 27/2*k**3 + 0*k = 0?
-1/3, 2/3
Let m(y) be the third derivative of -y**9/181440 + y**8/60480 + y**5/60 + 6*y**2. Let z(q) be the third derivative of m(q). Factor z(n).
-n**2*(n - 1)/3
Find f, given that -6*f**3 + 4*f**2 + 10*f + 3*f**3 - 6*f = 0.
-2/3, 0, 2
Let m(s) = 2*s**4 + 12*s**3 - 6*s**2 - 4. Let g(r) = -3*r**4 - 13*r**3 + 5*r**2 + r + 5. Let j(t) = 4*g(t) + 5*m(t). Determine v so that j(v) = 0.
0, 1, 2
Let a(s) be the first derivative of -s**6/1260 + s**5/70 - 3*s**4/28 - s**3 - 1. Let x(y) be the third derivative of a(y). Let x(j) = 0. What is j?
3
Suppose -p = 4*w - 5, 2*w - w - 4 = 0. Let v = p + 15. Let -6*m - m**2 + v - 8*m + 14*m**3 - 3*m**2 = 0. Calculate m.
-1, 2/7, 1
Suppose -1/3*w + 4/3*w**4 - 2*w**3 + 4/3*w**2 + 0 - 1/3*w**5 = 0. Calculate w.
0, 1
Let p = 11 + -9. Suppose 0 = -0*u + p*u. Factor 0*z**2 + 4/3*z**4 + 0*z + u - 2/3*z**5 - 2/3*z**3.
-2*z**3*(z - 1)**2/3
Let c(w) be the first derivative of 3/4*w**4 + 1/5*w**5 - 2*w - 3/2*w**2 + 1/3*w**3 - 3. Let c(d) = 0. What is d?
-2, -1, 1
Suppose 3*i + i - 8 = 0. Let y(a) = 4*a. Let s be y(1). Factor -2*n + n**3 - s*n**2 - 2*n**2 + 6*n**i + n**2.
n*(n - 1)*(n + 2)
Let m(b) be the second derivative of -3*b**5/140 - b**4/14 - b**3/14 - 4*b. What is i in m(i) = 0?
-1, 0
Let i(b) be the second derivative of -b - 1/9*b**4 + 1/3*b**2 + 0 + 0*b**3 + 0*b**5 + 1/45*b**6. Factor i(u).
2*(u - 1)**2*(u + 1)**2/3
Let z(y) = y + 7. Let t be z(-4). Suppose v - 8 = -g, 18 = t*v - g - 6. Determine l, given that -6*l**2 - 6*l**3 + 0*l + v*l**3 + 4*l = 0.
0, 1, 2
Let z(r) be the third derivative of r**8/448 - r**6/80 + r**4/32 - r**2. Factor z(b).
3*b*(b - 1)**2*(b + 1)**2/4
Let a(t) be the first derivative of 0*t**2 + 1/33*t**6 - 1 + 2/55*t**5 + 0*t - 1/22*t**4 - 2/33*t**3. Factor a(m).
2*m**2*(m - 1)*(