irst derivative of y(l). Factor q(i).
3*(i - 1)**3*(i + 1)**2/2
Let l(q) = q + 14. Let d be l(-11). Solve m**d + 4*m - m**3 + 6*m**2 + 3*m**3 - m**3 = 0.
-2, -1, 0
Factor 60*f - f**2 - 100 + 7*f**2 - 10*f**2 - 20*f.
-4*(f - 5)**2
Let r(b) = 3*b**2 + 3*b. Let c be r(-2). Factor 2*v - 3*v**3 - c*v**3 + 7*v**3.
-2*v*(v - 1)*(v + 1)
Let z(r) be the third derivative of -r**8/672 - r**7/140 - r**6/80 - r**5/120 - 3*r**2. Factor z(g).
-g**2*(g + 1)**3/2
Let k(s) = -s**2 + 14 - 14 - s. Let y(a) be the second derivative of -a**3/3 - a. Let x(v) = -2*k(v) - y(v). Let x(n) = 0. What is n?
-2, 0
Let d = -16 + 22. Let y = 20 - 18. Factor 4*j - 3 + d*j**y - 2*j**4 + 5 - 2.
-2*j*(j - 2)*(j + 1)**2
Let w(q) be the third derivative of -2*q**8/21 + 32*q**7/105 + 17*q**6/60 - 17*q**5/15 - q**4/12 + 2*q**3/3 - 19*q**2. Solve w(s) = 0.
-1, -1/4, 1/4, 1, 2
Let d(g) be the third derivative of 1/36*g**5 + 1/18*g**4 + 0 + 1/180*g**6 + 0*g + 1/18*g**3 - 4*g**2. Factor d(j).
(j + 1)**2*(2*j + 1)/3
Let r be (-2 - -3)*(-5)/(-5). Let d be 2/(r + 3/(-4)). Let 4/3*p + 0 + 2/3*p**3 - 6*p**2 + d*p**4 = 0. Calculate p.
-1, 0, 1/4, 2/3
Solve -m + 3*m**2 - 5*m - m + 4*m = 0 for m.
0, 1
Let f(a) = -12 - 18*a + 2*a**2 - 10 - 10. Let v(u) = 10*u + 7*u + 16 - 3*u**2 + u + 17. Let p(h) = -6*f(h) - 5*v(h). Factor p(n).
3*(n + 3)**2
Let x(v) be the third derivative of v**6/420 + v**5/210 - 5*v**4/84 + v**3/7 - 15*v**2 - 2*v. Find s such that x(s) = 0.
-3, 1
Let 0 + 8/3*f**3 - 10/3*f**2 + 4/3*f - 2/3*f**4 = 0. Calculate f.
0, 1, 2
Suppose 5*o + 5*o = 4*o. Let i(s) be the third derivative of 0*s - 2*s**2 + 1/12*s**4 - 1/30*s**5 + 0 + o*s**3. Factor i(x).
-2*x*(x - 1)
Find t such that 4/3*t**4 - 8/3*t + 8/3*t**3 - 4/3 + 0*t**2 = 0.
-1, 1
Let m(g) be the first derivative of 14*g**3/3 + 5*g**2 - 4*g - 3. Let m(r) = 0. What is r?
-1, 2/7
Let r be (-2)/(-17) - (-30)/34. Let l be (r/(-6))/(2/(-3)). Factor 1/4*y**3 - 1/4 + l*y**2 - 1/4*y.
(y - 1)*(y + 1)**2/4
Suppose 0 = -3*r + 2*z + 5, -r - 2*z - 3 = -10. Factor -1/2*p**2 + 0 + p - 1/2*p**r.
-p*(p - 1)*(p + 2)/2
Let r be (0 + 2)/((-15)/(-9) - 1). Let c(f) be the first derivative of 3/10*f**5 - 9/8*f**4 + 3/2*f**r + 0*f - 3/4*f**2 + 3. Suppose c(d) = 0. What is d?
0, 1
Let w(f) be the second derivative of f**4/15 + 7*f. Factor w(a).
4*a**2/5
Let h(p) be the third derivative of p**5/30 - 2*p**4 + 48*p**3 - 46*p**2. What is g in h(g) = 0?
12
Let s be 0 + 2 + (-1)/(-1). Factor 3 - 6*w**2 + 2 + 4*w**2 - s.
-2*(w - 1)*(w + 1)
Factor 4*c**2 + 2*c**5 - 16*c**2 + c**5 + 0*c**2 + 9*c**4.
3*c**2*(c - 1)*(c + 2)**2
Suppose g - 5*n - 26 = 0, -2*n = -4*g + 33 - 1. Let s be -1*2*g/(-24). Suppose f**3 - 1/2*f + 1/2 - s*f**5 - f**2 + 1/2*f**4 = 0. Calculate f.
-1, 1
Let t(h) be the third derivative of h**6/660 + h**5/110 + h**4/66 + 5*h**2. Suppose t(d) = 0. Calculate d.
-2, -1, 0
Let h be 8/(-16)*(1 - 7). Solve 2*b**h + 4*b**3 + 4*b**2 + 0*b**3 + 2*b**4 = 0.
-2, -1, 0
Factor 0*h**2 + 0 + 0*h - 1/2*h**4 + h**3.
-h**3*(h - 2)/2
Suppose n - c = 2, -4*n + 3*c + 4 = -5. Factor -2*l**2 + n*l - 4*l + 2*l + l**3 + 0*l.
l*(l - 1)**2
Let w(a) = a**2 - 4*a. Let m be w(3). Let j be (10/(-15))/(1 + m). Find t, given that -j*t - 2/3*t**2 + 1/3 = 0.
-1, 1/2
Let k(h) be the third derivative of -h**8/90720 + h**7/5670 - h**6/810 - h**5/30 + 2*h**2. Let x(m) be the third derivative of k(m). Factor x(u).
-2*(u - 2)**2/9
Let p(k) be the first derivative of -k**3/9 - k**2/3 + 8*k/3 + 30. What is q in p(q) = 0?
-4, 2
Suppose u - 2 = 4*x, -u = x - 4*x - 2. Suppose 0 = k - l - 1, 3*l - u = -k + 7. Suppose -k*i - 7/3*i**4 + 3*i**3 + 5/3*i**2 + 2/3 = 0. Calculate i.
-1, 2/7, 1
Let d = 3 + -6. Let p be 200/(-72) + d/(-1). Let 2/9*f**2 - p*f + 0 = 0. What is f?
0, 1
Determine o so that 2/9*o + 0 + 2/9*o**2 = 0.
-1, 0
Let u(v) be the first derivative of -4*v**3/3 + 44*v**2 - 484*v - 31. Suppose u(d) = 0. What is d?
11
Suppose -x = 2*f + 2, -f = -5*x + 10*x + 1. Factor u**4 - 3*u**3 + x*u**3 + 3*u**3 + 1 - 2*u**2.
(u - 1)**2*(u + 1)**2
Let d = 7 + -2. Let f(c) be the third derivative of 0*c + 0 + 0*c**4 + c**2 + 0*c**3 + 1/60*c**d. Suppose f(n) = 0. What is n?
0
Factor -2*y**2 - y**3 + 4 - 6*y**2 + 5*y**2 + 0*y**2.
-(y - 1)*(y + 2)**2
Let u(z) be the first derivative of z**3/2 - z**2/2 - 8. Factor u(c).
c*(3*c - 2)/2
Let 500*y + y**3 - 500*y - y**4 = 0. Calculate y.
0, 1
Let y = 13/3 - 103/24. Let s(r) be the second derivative of -y*r**4 + 0*r**2 + 1/6*r**3 + 0 + 2*r. Let s(o) = 0. Calculate o.
0, 2
Let o(w) be the first derivative of -1/90*w**5 - 1/18*w**4 + 0*w**2 - 1/1080*w**6 + 4 + 0*w - 2/3*w**3. Let s(z) be the third derivative of o(z). Factor s(h).
-(h + 2)**2/3
Solve 3/2*l**3 + 1/2*l**2 + 0*l + 0 + 1/2*l**5 + 3/2*l**4 = 0 for l.
-1, 0
Let y(q) = -q**2 + 9*q - 6. Let h be y(8). Let p = 43/26 - 2/13. Solve -a**h + p*a + 1 = 0.
-1/2, 2
Let y be 4/10 + 52/20. Suppose -2*d = -w - w - 6, -y*d - w = -21. Find g such that 8*g**3 + d*g**4 - 4*g - g**2 - 5*g**2 + 4*g**2 = 0.
-1, 0, 2/3
Let c(k) be the third derivative of 2*k**5/15 + k**4/12 - 36*k**2. Factor c(t).
2*t*(4*t + 1)
Let k = 54 + -107/2. Find b such that b**2 + k*b**5 + 0 + 0*b**3 - b**4 - 1/2*b = 0.
-1, 0, 1
Let r be (-5)/30 + 39/18. Let h(l) be the second derivative of 0*l**4 + 0*l**5 + 0*l**r + 1/45*l**6 + 0 + 0*l**3 - l. Suppose h(q) = 0. Calculate q.
0
Let l be 0 - 3*(-2)/3. Factor 4*d**5 - 2*d**2 - 5*d**5 + d + 2*d**4 + 0*d**l + 0*d**4.
-d*(d - 1)**3*(d + 1)
Factor -3*q - q**2 - q**2 + 8*q - q.
-2*q*(q - 2)
Let p(d) = -2*d - 15. Let l be p(-10). Let x = 7 - l. Determine u so that -u - 12*u**x + u**3 - 6 - 14*u - 4*u**3 = 0.
-2, -1
Let s be -5 - 20/12 - -8. Factor -s*o**5 - 64/3*o**2 - 12*o - 8/3 - 8*o**4 - 56/3*o**3.
-4*(o + 1)**4*(o + 2)/3
Let u = -23 + 23. Let m(b) be the second derivative of b + 1/42*b**4 + u*b**2 + 0 - 1/21*b**3. What is g in m(g) = 0?
0, 1
Let t(p) = 76*p**2 + 616*p + 2188. Let m(s) = 7*s**2 + 56*s + 199. Let w(k) = 32*m(k) - 3*t(k). Factor w(c).
-4*(c + 7)**2
Suppose 5*n + 10 = 30. Suppose i + n = 6. Let 18*z - 2 - 81/2*z**i = 0. Calculate z.
2/9
Let y(w) be the second derivative of w**7/273 - w**6/65 + w**5/65 + w**4/39 - w**3/13 + w**2/13 + 8*w. Factor y(r).
2*(r - 1)**4*(r + 1)/13
Suppose 0 + 1/7*l**2 + 2/7*l - 1/7*l**3 = 0. What is l?
-1, 0, 2
Let q(t) be the first derivative of 2*t**3/9 - t**2 + 4*t/3 + 2. What is s in q(s) = 0?
1, 2
Let h(x) be the first derivative of 4*x**5/5 - 3*x**4/2 + x**2 + 17. Factor h(k).
2*k*(k - 1)**2*(2*k + 1)
Find m such that -m**2 - 5*m**4 + 2*m**3 - 2*m**5 + 7*m**4 - m**2 = 0.
-1, 0, 1
Let h(c) be the second derivative of c**4/60 + c**3/15 + c**2/10 + 11*c. Determine x so that h(x) = 0.
-1
Let t(z) be the first derivative of 1/4*z**2 + 3*z - 2 + 1/8*z**3 + 1/48*z**4. Let j(s) be the first derivative of t(s). Factor j(b).
(b + 1)*(b + 2)/4
Let j = -5 + 8. Factor -15*y + 5*y**2 - j*y**2 + 11*y + 4*y**3 - 2*y**4.
-2*y*(y - 2)*(y - 1)*(y + 1)
Find n such that -1/3*n**3 + 0*n + 0 - 1/3*n**5 + 0*n**2 - 2/3*n**4 = 0.
-1, 0
Let d(p) be the third derivative of p**5/140 + 15*p**2. Find b such that d(b) = 0.
0
Let n(f) be the third derivative of f**7/240 - f**6/144 - f**5/120 - f**3/3 - 2*f**2. Let x(c) be the first derivative of n(c). Solve x(y) = 0 for y.
-2/7, 0, 1
Suppose 9*i = 16*i - 14. Factor -7/4*b + 7/4*b**3 + 1/2 - 1/2*b**i.
(b - 1)*(b + 1)*(7*b - 2)/4
Let y(k) = 4*k**2 - 3. Let x(v) = v**2 + v - 1. Let f(h) = -6*x(h) + 2*y(h). Factor f(r).
2*r*(r - 3)
Let m(f) be the third derivative of -125*f**8/336 - 5*f**7/42 + 41*f**6/24 + f**5/12 - 10*f**4/3 + 10*f**3/3 + 5*f**2. Let m(k) = 0. Calculate k.
-1, 2/5, 1
Let p be ((-24)/10 + 2)*-5. Let l be p/9 - (-128)/72. Factor -3 - 2*u**4 + 3 + 2*u**5 + 3*u**l - 2*u**3 - u**2.
2*u**2*(u - 1)**2*(u + 1)
Let n(k) be the second derivative of -11/24*k**4 + 2/5*k**5 - 7/60*k**6 + 1/6*k**3 + 0 + 0*k**2 - 4*k. Solve n(r) = 0 for r.
0, 2/7, 1
Factor 8/21*x**2 - 2/21*x**3 + 0 - 2/7*x.
-2*x*(x - 3)*(x - 1)/21
Let d(r) be the first derivative of -9*r**4/4 - 4*r**3 + 3*r**2/2 + 6*r - 6. Factor d(l).
-3*(l + 1)**2*(3*l - 2)
Let h(a) = a**3 + 3*a**2 + a + 2. Let r be h(-2). Suppose -r = -y + b, -4*y - y = -4*b - 20. Factor -3*f**5 + 2*f**5 - 3*f**4 - f**3 + f**y.
-f**3*(f + 1)**2
Let m be 3/12 + (-2)/8. Let u = -2/2219 + 2538/2219. Fact