r r(o).
-o*(o - 1)**2/2
Let s(y) be the third derivative of y**8/6720 - y**7/1080 + y**6/432 - y**5/360 + 5*y**4/24 - 5*y**2. Let h(i) be the second derivative of s(i). Factor h(f).
(f - 1)**2*(3*f - 1)/3
Let x(d) = 3*d**5 - 3*d**3 - 2*d**2 + 2*d + 2. Let l(k) = 12*k**5 - 12*k**3 - 9*k**2 + 9*k + 9. Let s(n) = -2*l(n) + 9*x(n). Factor s(a).
3*a**3*(a - 1)*(a + 1)
Let p(o) be the third derivative of -o**7/294 + 13*o**6/840 - o**5/105 - o**4/42 - 23*o**2. Factor p(q).
-q*(q - 2)*(q - 1)*(5*q + 2)/7
Let k = 1745/7 + -249. What is u in 0 + 0*u**3 - k*u**5 - 4/7*u**4 + 4/7*u**2 + 2/7*u = 0?
-1, 0, 1
Let j(s) be the first derivative of -s**3/6 + 3*s**2/4 + 2*s - 16. Factor j(w).
-(w - 4)*(w + 1)/2
Suppose 15*r = 14*r + 3. Determine j so that 2/5*j**r - 8/5*j**2 + 2*j - 4/5 = 0.
1, 2
Let u = 653/208 - 40/13. Let k(r) be the first derivative of -1 + 0*r + u*r**4 + 0*r**2 + 0*r**3. Factor k(y).
y**3/4
Let w(b) be the third derivative of -1/96*b**4 - 1/120*b**5 + 1/240*b**6 + 0 - b**2 - 1/1344*b**8 + 0*b + 1/24*b**3 + 1/840*b**7. Factor w(k).
-(k - 1)**3*(k + 1)**2/4
Let k(a) be the first derivative of -a**3/27 + a**2/18 - 12. Factor k(h).
-h*(h - 1)/9
Let f(h) be the first derivative of h**6/120 + h**5/60 - h**4/24 - 5*h**3/3 + 2. Let u(g) be the third derivative of f(g). What is t in u(t) = 0?
-1, 1/3
Let n(d) be the first derivative of -1 - 2/21*d**3 - 1/7*d**2 + 4/7*d. Solve n(f) = 0.
-2, 1
Factor -21*r**3 + 5*r**2 - r - 17*r**4 - r - 5*r**5 - 16*r**2 + 0*r.
-r*(r + 1)**3*(5*r + 2)
Suppose 36*m**2 + 80*m**4 + 137*m**3 - 32*m + 7*m**3 + 28*m**2 + 14*m**5 = 0. What is m?
-2, 0, 2/7
Let n(a) be the second derivative of a**8/504 - a**7/210 + a**5/180 - a**2 - a. Let m(w) be the first derivative of n(w). Let m(y) = 0. Calculate y.
-1/2, 0, 1
Let u(w) be the third derivative of w**6/30 + 4*w**5/5 + 15*w**4/2 + 100*w**3/3 - 18*w**2. Factor u(p).
4*(p + 2)*(p + 5)**2
Let b(a) be the second derivative of -9/4*a**2 - 1/24*a**4 - 2*a + 1/2*a**3 + 0. Factor b(z).
-(z - 3)**2/2
Factor 2*x**3 - 2*x**4 + 0*x - 2/3*x**2 + 0 + 2/3*x**5.
2*x**2*(x - 1)**3/3
Let x(h) be the first derivative of -5*h**6/9 - 8*h**5/5 + h**4/6 + 8*h**3/3 + 4*h**2/3 - 21. Let x(y) = 0. Calculate y.
-2, -1, -2/5, 0, 1
Factor 58/3*f**2 - 16*f - 6*f**3 + 8/3.
-2*(f - 2)*(f - 1)*(9*f - 2)/3
Let p = -28 - -113/4. Let s be 0 - -1 - (-3 + 90/24). Solve 0 - p*x - s*x**2 = 0.
-1, 0
Let s be (-4)/(-14) + (3 - 15/(-21)). Let k(n) be the first derivative of -2*n + 4 - 2*n**3 - 3*n**2 - 1/2*n**s. Factor k(h).
-2*(h + 1)**3
Let w(q) = 17*q**5 + 28*q**4 + 28*q**3 - 8*q**2 + 8. Let x(i) = -11*i**5 - 19*i**4 - 19*i**3 + 5*i**2 - 5. Let n(g) = -5*w(g) - 8*x(g). Factor n(o).
3*o**3*(o + 2)**2
Let o be (-4)/(-3) + 6/9. Find p such that -4 - 2 - o*p + 3*p**2 + 5*p = 0.
-2, 1
Let f(l) be the second derivative of -5/6*l**4 + l + 0*l**2 + 2/3*l**3 + 0 + 1/3*l**6 - 1/5*l**5. Factor f(d).
2*d*(d - 1)*(d + 1)*(5*d - 2)
Let x = 29 + -85/3. Factor 0*r + 2/3 - x*r**2.
-2*(r - 1)*(r + 1)/3
Let j(i) = -i**3 + 4*i**2 + 2. Let x be j(2). Suppose 25 = 5*v, 2*m + m + 2*v = 460. Determine h, given that 3 - x*h + m*h**2 - 62*h + 12*h**2 + 5 = 0.
2/9
Factor 2*v - 7*v**2 + 9*v**3 - 5*v**4 - 5 + v**5 + 5.
v*(v - 2)*(v - 1)**3
Let p(w) be the second derivative of -w**4/20 - w**3/2 - 9*w**2/5 + 32*w + 2. Determine g so that p(g) = 0.
-3, -2
Let s(u) = -2*u**2 - 14. Let r be s(0). Let z(w) = -w - 14. Let j be z(r). Suppose j - 2/3*o**2 + 2/3*o = 0. Calculate o.
0, 1
Let d(k) = k**2 + 7*k + 8. Let c be d(-6). Solve 6*l**c - l**2 + 2 - 3*l**2 - 4*l = 0 for l.
1
Suppose 35*j - 20 = 85. Solve -134/7*u**j - 48/7*u - 8/7 - 114/7*u**2 - 18/7*u**5 - 78/7*u**4 = 0 for u.
-1, -2/3
Let b(z) be the second derivative of -z**5/240 + z**3/24 - 4*z**2 - 5*z. Let i(f) be the first derivative of b(f). What is h in i(h) = 0?
-1, 1
Let d(v) = -v**2 - v + 3. Let u(f) = 2 - 16*f - 5*f**2 + 4*f**2 + 16*f. Let c(g) = 4*d(g) - 6*u(g). Factor c(r).
2*r*(r - 2)
Suppose -2/11*j**3 + 2/11*j + 0 - 1/11*j**4 + 1/11*j**2 = 0. Calculate j.
-2, -1, 0, 1
Let t(a) be the first derivative of 0*a**5 + 0*a**3 - 3/2*a**4 + 3/2*a**2 - 5 + 1/2*a**6 + 0*a. Solve t(y) = 0.
-1, 0, 1
Factor -1/2 + 1/4*q**2 + 1/4*q.
(q - 1)*(q + 2)/4
Factor 7*y**3 + 8*y**3 + 25*y**4 - 4*y**3 - y**3.
5*y**3*(5*y + 2)
Let f be (-3)/((-15)/(-2))*11/(-22). Factor -1/5*w**2 + 0*w + f.
-(w - 1)*(w + 1)/5
Let s(w) be the first derivative of -w**6/90 - w**5/120 + w**3/3 - 2. Let a(b) be the third derivative of s(b). Factor a(o).
-o*(4*o + 1)
Solve -7*f**3 - 2*f - 4 + 3*f + 4*f**2 + 3*f + 3*f**3 = 0 for f.
-1, 1
Let o be ((-6)/18)/((-2)/18). Let x be 2/1*(-1 + 2). Factor -7*y**2 - 2*y + o*y**x + 2*y**2.
-2*y*(y + 1)
Let j be (-2)/(-1)*(-27)/6. Let t = 12 + j. Find k, given that t*k**2 - k**4 + 2*k + 2 - 2 + 0*k**4 = 0.
-1, 0, 2
Let n(k) be the second derivative of -k**6/20 + 3*k**5/80 + 3*k**4/8 + 35*k. Factor n(c).
-3*c**2*(c - 2)*(2*c + 3)/4
Determine w so that 2/11 - 12/11*w**2 + 10/11*w = 0.
-1/6, 1
Let j(o) be the first derivative of 3*o**5/5 - 9*o**4/4 + 2*o**3 + 31. Factor j(g).
3*g**2*(g - 2)*(g - 1)
Let c(a) be the first derivative of -a**4/2 - 2*a**3/3 - 4. Find u such that c(u) = 0.
-1, 0
Let d(z) be the third derivative of -z**7/3780 - z**6/360 - z**5/90 + z**4/6 + 2*z**2. Let x(p) be the second derivative of d(p). Find k, given that x(k) = 0.
-2, -1
Let g(n) = -n**3 + 7*n**2 - 8*n. Let i be g(5). Suppose -5*w - 4 + 14 = 0. Factor 8*b - b**2 + 3*b**2 + i - w + 0*b**2.
2*(b + 2)**2
Let h(f) be the second derivative of f**10/15120 + f**9/3780 - f**7/630 - f**6/360 + f**4/4 + 2*f. Let b(y) be the third derivative of h(y). Solve b(s) = 0.
-1, 0, 1
Let g be 4 - 404/68 - -3. Let f = 89/68 - g. Factor -f*c**3 + 3/4*c**2 + 0 - 1/2*c.
-c*(c - 2)*(c - 1)/4
Find m, given that 3*m**2 - 5*m**2 + 4 - 2 = 0.
-1, 1
Let q(v) be the second derivative of v**7/1680 + v**6/360 - v**5/240 - v**4/24 + v**3/6 + 2*v. Let m(k) be the second derivative of q(k). Factor m(s).
(s - 1)*(s + 1)*(s + 2)/2
Suppose 17*c - 25 = 9. Find i such that 2/3*i**3 + 1/3*i**4 + 0*i + 0 + 0*i**c = 0.
-2, 0
Suppose 14*s - 45 = -s. Factor 0*f**2 + 3/5*f + 2/5 - 1/5*f**s.
-(f - 2)*(f + 1)**2/5
Let k(n) be the second derivative of 0 - 5/8*n**4 - 21/40*n**5 + 0*n**2 + 1/2*n**3 + n. Factor k(c).
-3*c*(c + 1)*(7*c - 2)/2
Suppose 3*z + 2*h + 3*h = 6, z - 2 = 5*h. Factor 2*p**2 + 8 + 2*p + z*p + 4*p.
2*(p + 2)**2
Suppose 10*m - 216 = -186. Factor -9/5*r - 6/5 + 3/5*r**m + 0*r**2.
3*(r - 2)*(r + 1)**2/5
Let g(d) be the third derivative of d**6/240 - d**5/120 - 4*d**2. Factor g(w).
w**2*(w - 1)/2
Solve -2/3 - 2*i**2 + 2*i + 2/3*i**3 = 0.
1
Let f(o) = -2*o**2 + 15*o + 17. Let n(z) = z**2 - 15*z - 16. Let x(j) = -6*f(j) - 7*n(j). Let x(d) = 0. Calculate d.
-2, -1
Let r(n) be the second derivative of -n**5/300 - n**4/120 + n**2/2 + 2*n. Let p(o) be the first derivative of r(o). Suppose p(l) = 0. Calculate l.
-1, 0
Factor -10*l + 8*l**4 - 6*l**2 + 1 + 3 - 18*l**2 - 2*l**3.
2*(l - 2)*(l + 1)**2*(4*l - 1)
Let b(t) = -5*t**3 + 36*t**2 + 41*t + 17. Let h(k) = -k**3 + 6*k**2 + 7*k + 3. Let g(v) = 6*b(v) - 34*h(v). What is a in g(a) = 0?
-2, -1, 0
Let r be 6/(-10) - (-1104)/765. Let f = r + -3/17. Factor 0 - 1/3*n - f*n**2 - 1/3*n**3.
-n*(n + 1)**2/3
Let x(w) = -7*w - 25. Let t be x(-4). What is k in 10/3*k**t + 4/3*k**2 - 2/3*k**4 - 5/3*k - 5/3*k**5 - 2/3 = 0?
-1, -2/5, 1
Suppose 28 = l + l. Let z be (1 - l/18) + 0. Factor 8/9*g + 8/9 + z*g**2.
2*(g + 2)**2/9
Let u = -21 + 5. Let x be 6/(-4)*u/6. Factor 1/2*n + 0 + 1/2*n**x - 1/2*n**3 - 1/2*n**2.
n*(n - 1)**2*(n + 1)/2
Let c = -2625/134 - -6/67. Let v = c + 79/4. Let 0 - v*h**2 + 1/4*h - 1/2*h**3 = 0. What is h?
-1, 0, 1/2
Let f be -2*2/4*(-10)/5. What is p in 12/7*p**f + 1/7 + 3/7*p**4 - 10/7*p**3 - 6/7*p = 0?
1/3, 1
Let g(w) = -2*w**2 + 4*w. Let c(y) = 3*y**2 + 3*y - 12*y + y**2. Let p be ((-36)/10)/(2/(-5)). Let b(i) = p*g(i) + 4*c(i). Determine x so that b(x) = 0.
0
Let b(u) = 4*u**2 - 16*u - 34. Let w(d) = -d**2 + 3*d + 7. Let x(g) = -6*b(g) - 28*w(g). Factor x(h).
4*(h + 1)*(h + 2)
Let x(b) be the second derivative of 2/9*b**3 + 0*b**2 - 2*b - 1/6*b**4 + 0 + 1/30*b**5. Let x(p) = 0. Calculate p.
0, 1, 2
Let x(r) = -3*r + 13 - 10*r - 11*r**3 - 48*r**2 + 59*r**2. Let m(o) = -5*o**3 + 5*o**2 - 6*o +