ond derivative of y(m). Factor w(o).
-o*(o - 1)*(o + 1)**2/2
Let s(a) be the first derivative of a**7/420 - a**6/540 - a**5/90 + 2*a**3/3 - 1. Let h(w) be the third derivative of s(w). Factor h(r).
2*r*(r - 1)*(3*r + 2)/3
Let 3/5*a + 0 + 3/5*a**5 - 6/5*a**3 + 0*a**2 + 0*a**4 = 0. Calculate a.
-1, 0, 1
Let x(a) be the second derivative of -a**4/12 + 11*a**3/6 + a**2 - a. Let r be x(11). Factor 6/5*l - 2/5*l**3 - 4/5 + 0*l**r.
-2*(l - 1)**2*(l + 2)/5
Let z = 2/71 - -136/213. Let m = 197/684 + -5/76. Find d such that 2/3*d**2 - 2/9*d**3 + m - z*d = 0.
1
Let h(u) be the first derivative of -u**6/24 + u**4/8 - u**2/8 - 6. Factor h(y).
-y*(y - 1)**2*(y + 1)**2/4
Suppose -19*j + 11*j - 50 - 38*j**2 - 12*j + 36*j**2 = 0. What is j?
-5
Let q(a) be the second derivative of 0*a**2 - 1/21*a**4 - 2*a + 3/70*a**5 + 0 + 0*a**3 + 1/21*a**6. Solve q(b) = 0 for b.
-1, 0, 2/5
Suppose -3*d - 8 = -5*l, 0 = -8*l + 3*l - 3*d + 32. What is b in -b + 36*b**2 + 7*b - 20*b**3 - 34*b + 4*b**l + 8 = 0?
1, 2
Let c(x) be the third derivative of -x**5/90 + x**4/6 - x**3 + x**2 + 6*x. Find g such that c(g) = 0.
3
Suppose 3/5*a**4 + 6/5*a**3 - 6/5*a**2 - 3/5*a + 3/5 - 3/5*a**5 = 0. What is a?
-1, 1
Let a(g) be the third derivative of 0*g + 0*g**3 + 0 + 4*g**2 + 0*g**5 + 0*g**4 - 1/660*g**6. What is y in a(y) = 0?
0
Let i(l) = l - 6. Let y be i(6). Suppose -4*b + 2*n + 6 = 0, 4*n - 4 + 16 = -2*b. Factor 0 + 0*x + y*x**2 + b*x**3 - 1/2*x**4.
-x**4/2
Let p(s) be the second derivative of 1/90*s**6 + 0 - 1/18*s**4 - 2*s + 1/30*s**5 - 1/126*s**7 - 1/18*s**3 + 1/6*s**2. Let p(i) = 0. Calculate i.
-1, 1
Let s(q) = q**4 - q**3 + 1. Let o = 6 + -4. Let t(r) = r**5 + 5*r**4 - 2*r**2 - 3*r + 1. Suppose 5*z + 3 = -2. Let w(p) = o*s(p) + z*t(p). Factor w(k).
-(k - 1)*(k + 1)**4
Let u(f) be the third derivative of 3*f**6/160 - 11*f**5/80 + 3*f**4/8 - f**3/2 - 12*f**2. Factor u(x).
3*(x - 2)*(x - 1)*(3*x - 2)/4
Let v(p) be the first derivative of -p**6/60 + p**5/15 - p**4/12 - p**2/2 - 7. Let d(x) be the second derivative of v(x). Factor d(u).
-2*u*(u - 1)**2
Let x(o) = -o**2 + 8*o - 6. Let r be x(6). Let q(a) = -a + 9. Let g be q(r). Factor 2/7*z**g + 0 + 2/7*z**4 - 2/7*z - 2/7*z**2.
2*z*(z - 1)*(z + 1)**2/7
Let n(z) be the first derivative of -z**2 - 1/10*z**5 - z**3 - 3 - 1/2*z**4 - 1/2*z. Determine q, given that n(q) = 0.
-1
Let s(k) be the second derivative of -2*k**6/15 - 3*k**5/5 - 2*k**4/3 + 5*k. What is y in s(y) = 0?
-2, -1, 0
Let n(s) be the second derivative of -s**7/3780 - s**6/405 - s**5/108 - s**4/54 + s**3/2 - 3*s. Let i(q) be the second derivative of n(q). Factor i(c).
-2*(c + 1)**2*(c + 2)/9
Let k(n) be the first derivative of -2*n**3/21 + 2*n**2/7 - 2*n/7 - 12. Solve k(p) = 0 for p.
1
Let z(b) be the first derivative of -b**6/7 + 4*b**5/7 - 9*b**4/14 + 4*b**3/21 - 19. Let z(y) = 0. Calculate y.
0, 1/3, 1, 2
Let c(g) = g + 7. Let q be c(-7). Factor -8 + 4 + q*u**4 - 6*u**2 + u**3 - 3*u**3 + 10*u + 2*u**4.
2*(u - 1)**3*(u + 2)
Let c(u) be the second derivative of 256*u**7/273 - 256*u**6/195 + 48*u**5/65 - 8*u**4/39 + u**3/39 - 2*u + 7. Let c(o) = 0. Calculate o.
0, 1/4
Suppose 2*z + 0*z = 4. Factor z*s**2 - 4*s**4 + 4*s**3 + 8*s**4 - 2*s**4.
2*s**2*(s + 1)**2
Suppose -6*w + 15*w = -4*w. Find h, given that w*h + 1/4 - 1/2*h**2 + 0*h**3 + 1/4*h**4 = 0.
-1, 1
Let h(t) = 2*t**2 - 2*t - 6. Let r be h(3). Let k(v) be the second derivative of -7/120*v**r + 0 - 1/16*v**5 - v + 0*v**2 + 0*v**3 + 1/24*v**4. Factor k(g).
-g**2*(g + 1)*(7*g - 2)/4
Let t = 0 + 0. Let q be t*(-1 + (-1)/(-2)). Let -d**3 - d + q*d**2 + 2*d**2 + 0*d = 0. Calculate d.
0, 1
Let h(f) = -f + 10. Let s be h(8). Find z, given that -8*z**3 + s*z**2 + 5*z**3 + 6*z**5 + 5*z**3 - 10*z**4 = 0.
-1/3, 0, 1
Let u(k) be the third derivative of -k**8/2016 - k**7/1260 - k**5/60 - 4*k**2. Let d(x) be the third derivative of u(x). Factor d(n).
-2*n*(5*n + 2)
Let z(y) be the second derivative of 0 + 1/120*y**6 - 1/12*y**3 + 0*y**5 - 1/16*y**4 + 9*y + 0*y**2. Factor z(s).
s*(s - 2)*(s + 1)**2/4
Factor 5*h**4 - 17*h + 22*h - 5*h**3 - h**2 - 4*h**4.
h*(h - 5)*(h - 1)*(h + 1)
Let f(t) be the third derivative of -t**8/672 - t**7/42 - 5*t**6/48 + t**5/6 + 5*t**4/3 - 16*t**3/3 + t**2 + 1. What is m in f(m) = 0?
-4, 1
What is n in -10*n**4 - 15*n**3 - 27*n**2 - 6 - 14*n**4 + 21*n**4 - 21*n = 0?
-2, -1
Factor 12*o**4 - 4 - 2*o**3 + 4 - o**3.
3*o**3*(4*o - 1)
Let y(t) be the third derivative of -t**5/75 - t**4/10 + 4*t**3/3 + 14*t**2. Factor y(r).
-4*(r - 2)*(r + 5)/5
Let y(h) be the first derivative of 2*h**3/21 - 6*h**2/7 + 18*h/7 + 16. Find x such that y(x) = 0.
3
Suppose -8 = -9*g + 28. Find u, given that 0 - u**3 + 0*u - 1/2*u**2 - 1/2*u**g = 0.
-1, 0
Factor 0 - 2/3*o + 11/3*o**2 - 16/3*o**3 + 7/3*o**4.
o*(o - 1)**2*(7*o - 2)/3
Suppose 36 = s + 2. Let g = 34 - s. What is i in 1/2*i**2 + 1/4*i + g + 1/4*i**3 = 0?
-1, 0
Let c(r) be the third derivative of r**6/660 - 2*r**5/165 + 5*r**4/132 - 2*r**3/33 - 22*r**2. Solve c(w) = 0.
1, 2
Let 1/2*m**4 - 3/2*m**2 + 0 - m + 0*m**3 = 0. What is m?
-1, 0, 2
Let i(t) be the second derivative of 3*t**4/8 - 7*t**3/4 + 3*t**2/2 - 22*t. Suppose i(s) = 0. What is s?
1/3, 2
Suppose 0 = 4*c - 16 - 0, 0 = -2*p - 3*c + 16. Let r be (-4 - 0)*(-1)/p. Factor -4 + 4 - 2*m + 3*m + m**r.
m*(m + 1)
Let y(g) be the second derivative of 0*g**2 + 1/6*g**4 - 1/3*g**3 + 2/21*g**7 + 0 - 1/3*g**6 - g + 3/10*g**5. Factor y(r).
2*r*(r - 1)**3*(2*r + 1)
Let r(u) = -32*u**4 + 32*u**3 + 19*u**2 - 16*u - 13. Let z(n) = 80*n**4 - 80*n**3 - 48*n**2 + 40*n + 32. Let y(x) = 12*r(x) + 5*z(x). Factor y(b).
4*(b - 1)**2*(2*b + 1)**2
Let p(y) be the first derivative of -y**3/18 - 19. Let p(z) = 0. Calculate z.
0
Let n(m) be the first derivative of -m**6/6 + 4*m**5/15 + m**4/3 - 2*m**3/3 - m**2/6 + 2*m/3 - 3. Find w, given that n(w) = 0.
-1, -2/3, 1
Suppose 0 = 2*s - 2*x, -2*x + 8 = 3*s + 3*x. Let a(k) be the first derivative of s - 2/9*k**3 + 0*k + 2/3*k**2. Find i, given that a(i) = 0.
0, 2
Let p(h) be the second derivative of h**5/20 - 12*h. Let o(a) = 8*a**3 - 2*a**2. Let s = 2 + -3. Let u(r) = s*o(r) + 5*p(r). Find y, given that u(y) = 0.
0, 2/3
Let m(c) be the second derivative of -c**4/12 + c**3/3 + 13*c. Find f such that m(f) = 0.
0, 2
Let w(j) be the second derivative of -j**8/9240 + 2*j**3/3 - 4*j. Let s(a) be the second derivative of w(a). What is o in s(o) = 0?
0
Let s(c) be the first derivative of c**7/14 - 2*c**6/5 + 9*c**5/10 - c**4 + c**3/2 + 2*c - 3. Let d(t) be the first derivative of s(t). Factor d(a).
3*a*(a - 1)**4
Let f be (-12)/9*3/(-2). Suppose -f*r + r = -9. Factor -r*d**2 - 3*d + 5 - 5.
-3*d*(3*d + 1)
Let s(g) be the second derivative of -g**6/195 - g**5/65 + g**4/78 + 2*g**3/39 - g. Find t such that s(t) = 0.
-2, -1, 0, 1
Let a = 8 + -8. Suppose -5*r - 4*k = -10, 5*r = -a*k + 4*k + 50. Factor 4*m**2 + 2*m**5 - 2*m**3 + 2*m**2 - r*m**2 + 2*m**4 - 2*m**2.
2*m**2*(m - 1)*(m + 1)**2
Let r(y) be the third derivative of -y**5/210 + y**4/21 - 18*y**2. Let r(v) = 0. What is v?
0, 4
Let q = 6 - 4. Let d be (1 + -2)*0/q. What is z in 2/7*z**2 + d*z**3 - 2/7*z**4 + 0 + 0*z = 0?
-1, 0, 1
Let w(a) be the third derivative of 1/30*a**4 + a**2 - 7/300*a**6 - 1/30*a**5 + 0*a**3 + 0*a + 0. Factor w(d).
-2*d*(d + 1)*(7*d - 2)/5
Let j(y) be the first derivative of 1/6*y**2 + 1/9*y**3 - 3 + 0*y. Factor j(r).
r*(r + 1)/3
Let 2/3*f - 4/3*f**2 - 2/3*f**3 + 4/3 = 0. Calculate f.
-2, -1, 1
What is f in -2/3*f**3 + 2/3*f + 0 - 2/3*f**2 + 2/3*f**4 = 0?
-1, 0, 1
Factor -1/2*t - 9/4*t**3 + 7/4*t**2 + 5/4*t**4 - 1/4*t**5 + 0.
-t*(t - 2)*(t - 1)**3/4
Suppose k - 24 = -3*k + 4*d, -3*k + 24 = 3*d. Let l be 0*(3 + k/(-2)). Factor l*w + 2/3*w**3 - 1/3*w**4 + 0 - 1/3*w**2.
-w**2*(w - 1)**2/3
Suppose -5*s + 4458 = -5712. Let m = s - 14206/7. Let 2*o**2 + m*o + 8/7 = 0. What is o?
-2, -2/7
Let d(i) be the second derivative of -i**7/168 + i**6/60 + 3*i**5/80 - i**4/12 - i**3/6 - 6*i. Suppose d(b) = 0. Calculate b.
-1, 0, 2
Let u(i) be the third derivative of 5/16*i**4 + 0 + 0*i + 3/4*i**3 - 4*i**2 + 7/120*i**5 + 1/240*i**6. Determine v, given that u(v) = 0.
-3, -1
Let j(c) be the first derivative of -3*c**4/4 - 4*c**3 - 15*c**2/2 - 6*c + 4. Factor j(l).
-3*(l + 1)**2*(l + 2)
Let k(d) be the second derivative of d**7/273 + d**6/195 - 3*d**5/1