r j(g).
2*g*(g - 2)*(g - 1)
Find c such that 0 + 5/3*c - 1/3*c**2 = 0.
0, 5
Let f be (2/4)/((-1)/2). Let h be (8/(-4))/(f/2). Factor 1/2*g**h + 0*g**2 - 1/2 - g + g**3.
(g - 1)*(g + 1)**3/2
Let u = -160/3 + 54. Factor 2*s - 4/3 - u*s**2.
-2*(s - 2)*(s - 1)/3
Let k = 857/4 + -214. Find g, given that -k*g**4 - 1/4*g**2 + 1/2 + 3/4*g - 3/4*g**3 = 0.
-2, -1, 1
Let j(c) be the second derivative of -c**7/13860 - c**6/1980 - c**5/660 + c**4/6 + 2*c. Let p(m) be the third derivative of j(m). Factor p(l).
-2*(l + 1)**2/11
Factor 482 - 2*n**3 - 482 + 18*n**2.
-2*n**2*(n - 9)
Let j(b) = 3*b - 7. Let l be j(6). Let w be 2/8 - l/(-4). Find q such that 0 - 1/3*q**5 - 1/3*q**2 + 1/3*q**w + 0*q + 1/3*q**4 = 0.
-1, 0, 1
Let n(o) be the first derivative of o**3/3 + 27*o**2/10 + 2*o - 30. Factor n(z).
(z + 5)*(5*z + 2)/5
Let h = 4 + -6. Let x be 48/84*(-7)/h. Factor 0 + 3/2*v**x + v**4 + 9/4*v**3 + 1/4*v.
v*(v + 1)**2*(4*v + 1)/4
Let g(t) be the second derivative of 0*t**3 + 0*t**2 + 2*t - 3/20*t**5 + 0 + 1/4*t**4 + 1/14*t**7 - 1/10*t**6. Factor g(j).
3*j**2*(j - 1)**2*(j + 1)
Let i(h) = h**2 + 3*h. Let w be i(-3). Suppose 1 = 4*o - m, w = o + 3*o + 2*m + 2. Factor 2/3*f**4 + o + 0*f**3 - 2/3*f**2 + 0*f.
2*f**2*(f - 1)*(f + 1)/3
Let k = 10 + -7. Let -10*q**2 - 6*q + 6 - 1 + 2*q - 3*q**3 + k = 0. What is q?
-2, 2/3
Let m be 2/((45/(-10))/(-9)). Let k(a) be the third derivative of 0 - 1/90*a**5 - 1/108*a**m - 2*a**2 + 2/27*a**3 + 0*a. What is w in k(w) = 0?
-1, 2/3
Solve 8/5*k - 8/5 - 2/5*k**2 = 0 for k.
2
Let y(m) be the first derivative of m**8/5040 - m**6/1080 - m**3 - 1. Let w(j) be the third derivative of y(j). Determine o so that w(o) = 0.
-1, 0, 1
Factor 5/6*r**3 - 1/6*r**5 - 2/3 - 1/6*r**2 - 4/3*r + 1/6*r**4.
-(r - 2)**2*(r + 1)**3/6
Let m(p) be the first derivative of 2*p - 4*p**3 - 3 + 3/2*p**2 + 7/4*p**4. Factor m(d).
(d - 1)**2*(7*d + 2)
Suppose -c + 6*c = -8*c. Let 0*m**2 + 2/7*m**3 - 2/7*m + c = 0. What is m?
-1, 0, 1
Let a(l) be the second derivative of 1/6*l**4 + 2*l + 0 + l**2 + 2/3*l**3. Factor a(h).
2*(h + 1)**2
Let j(p) = -p**3 - 4*p**2 - p. Suppose -3*k + 0 - 3 = 0. Let d(o) = -o**2 - o. Let x(n) = k*j(n) + d(n). Solve x(t) = 0.
-3, 0
Let b(v) be the second derivative of v**7/63 + v**6/15 + v**5/10 + v**4/18 - 10*v. Factor b(a).
2*a**2*(a + 1)**3/3
Let z(b) be the second derivative of 8*b**6/105 - b**4/7 + 2*b**3/21 + 6*b. Solve z(p) = 0 for p.
-1, 0, 1/2
Let k(r) be the first derivative of -r**5 + 15*r**4/2 - 40*r**3/3 - 15*r**2 + 45*r - 10. Let k(z) = 0. Calculate z.
-1, 1, 3
Let q be 2/7 - (-149)/(-7). Let k = -18 - q. Determine b so that -3/4*b**k + 0 + 0*b**2 + 3/4*b = 0.
-1, 0, 1
Let k(j) = j**2 + j - 4. Let i be k(-3). Suppose 4*n - 7 = -5*o, -i = -n + 3*o + 4. Determine p so that 7*p + p + 8 + n*p**2 - p**2 = 0.
-2
Suppose -5*b = 8*h - 3*h - 55, 4*b - 29 = -h. Let w(y) be the third derivative of 0 + 0*y - y**2 - 1/60*y**5 - 1/24*y**4 + 1/6*y**3 + 1/120*y**b. Factor w(a).
(a - 1)**2*(a + 1)
Let s(x) be the third derivative of -x**7/315 + x**6/45 - x**5/30 - x**4/9 + 4*x**3/9 + 5*x**2. Solve s(m) = 0 for m.
-1, 1, 2
Let o(i) = 7*i**3 - i**2 - 2*i. Let u be o(2). Factor 15*q**3 + u*q**4 - 6*q**4 - 35*q**2 + 12*q + 33*q**4 - 13*q**2.
3*q*(q + 1)*(5*q - 2)**2
Let w(i) be the second derivative of 1/5*i**6 - 3/7*i**7 + 0 + 1/2*i**5 + 0*i**2 + 1/6*i**4 + 2*i + 0*i**3. Factor w(n).
-2*n**2*(n - 1)*(3*n + 1)**2
Let y(g) = 2*g - 1. Let n be y(5). Let k be (-46)/(-14) + (6 - n). Find p, given that 2/7 - 2/7*p**2 + 2/7*p**3 - k*p = 0.
-1, 1
Let r(c) be the first derivative of -2*c**5/55 + c**4/11 + 2*c**3/33 - 2*c**2/11 - 4. Suppose r(x) = 0. Calculate x.
-1, 0, 1, 2
Factor -4*x - 4/5*x**2 + 4/5*x**3 - 12/5.
4*(x - 3)*(x + 1)**2/5
Let r = 6 - 5. Let d = 2 - r. Factor 4*l - d - l**4 + l**5 + 2*l**2 - 4*l**3 - 3*l + 2*l**3.
(l - 1)**3*(l + 1)**2
Let n(b) be the first derivative of b**8/7560 - b**7/1260 + b**6/540 - b**5/540 + 8*b**3/3 + 6. Let j(q) be the third derivative of n(q). Factor j(m).
2*m*(m - 1)**3/9
Let x be (-2)/(-3 - 5052/(-1676)). Let w = x + 141. Factor 4/3*d + w + 1/3*d**2.
(d + 2)**2/3
Let d(o) be the first derivative of o**6/12 - o**5/6 - o**4/12 - 25. Factor d(x).
x**3*(x - 2)*(3*x + 1)/6
Let q(p) = 0*p - 3 - p - 2*p + 4*p. Let r be q(5). Suppose -4 + 3*c + c - 4*c - r*c**2 + 6*c = 0. Calculate c.
1, 2
Let f(n) = -n + 2. Let p be f(-2). Let y = p - 2. What is h in 0 - 3/5*h + 6/5*h**y - 6/5*h**4 + 0*h**3 + 3/5*h**5 = 0?
-1, 0, 1
Let k(a) = -a**3 + 8*a**2 - 6*a - 7. Let g be k(7). Factor -c**4 + g*c + 4*c**3 - 2*c**3 - c - 3 + 2*c**2 - c**5 + 2.
-(c - 1)**2*(c + 1)**3
Let n(v) = 5*v - 1. Let f be n(2). Let o be 1 - (0 + 3/f). Determine j so that 0 + 0*j - o*j**2 = 0.
0
Let a(o) be the second derivative of o**4/48 + o**3/6 + 3*o**2/8 + 17*o. Factor a(l).
(l + 1)*(l + 3)/4
Let m(o) be the first derivative of 6/5*o**5 + 3/8*o**4 - 6*o**3 + 3*o + 15/4*o**2 + 7. Determine p so that m(p) = 0.
-2, -1/4, 1
Suppose -2*h + 1 = z - 3*h, -4*z + 14 = -2*h. Let g be 6*1*2/z. Factor -3*x + 2*x**g - x**3 + x + x.
-x*(x - 1)**2
Let o(h) = -30*h**3 - 12*h**2 + 26*h - 4. Let a(n) = -29*n**3 - 12*n**2 + 27*n - 4. Let g(j) = 6*a(j) - 7*o(j). Find z, given that g(z) = 0.
-1, 1/3
Let d(w) be the third derivative of -w**6/60 - w**5/15 + w**4/12 + 2*w**3/3 + 7*w**2. Factor d(c).
-2*(c - 1)*(c + 1)*(c + 2)
Suppose a - 4*o = -5, -3*a - o = -7 - 4. Solve 0*g**2 + 1 - 2*g**2 + 0 + 2*g + a = 0 for g.
-1, 2
Let f(a) be the first derivative of 1/3*a**2 - 5/12*a**4 - 3 + 0*a + 1/3*a**3. Factor f(q).
-q*(q - 1)*(5*q + 2)/3
Let f(s) be the second derivative of -s**5/60 - s**4/6 - 20*s + 2. Factor f(l).
-l**2*(l + 6)/3
Let f(r) be the first derivative of -2*r**3/39 + 4*r**2/13 + 3. Factor f(m).
-2*m*(m - 4)/13
Let t(b) be the second derivative of b**6/70 - 3*b**5/70 + b**3/7 - 3*b**2/14 + 25*b. Factor t(s).
3*(s - 1)**3*(s + 1)/7
Let u(a) be the first derivative of -2*a**3/9 - 23. Suppose u(v) = 0. What is v?
0
Let n(c) be the second derivative of c**7/1260 + c**6/120 + c**4/3 + c. Let f(u) be the third derivative of n(u). Suppose f(a) = 0. Calculate a.
-3, 0
Solve 0 + 2/7*x - 2/7*x**2 = 0.
0, 1
Let 1/4*s**4 - 2197*s + 28561/4 + 507/2*s**2 - 13*s**3 = 0. Calculate s.
13
Let z(x) be the third derivative of 0*x**3 - 3*x**2 + 0 + 1/6*x**4 - 1/30*x**5 + 0*x - 1/30*x**6 + 1/105*x**7. Factor z(q).
2*q*(q - 2)*(q - 1)*(q + 1)
Let l(y) be the second derivative of y**6/105 - 3*y**5/70 + 4*y**3/21 - 10*y. Factor l(d).
2*d*(d - 2)**2*(d + 1)/7
Let b(c) be the third derivative of -c**7/8820 - c**6/2520 + c**5/210 - c**4/6 - 3*c**2. Let z(a) be the second derivative of b(a). Let z(v) = 0. What is v?
-2, 1
Let t = -71 - -287/4. Factor 3/4*j**4 + 0 - 3/4*j**5 + t*j**3 - 3/4*j**2 + 0*j.
-3*j**2*(j - 1)**2*(j + 1)/4
Suppose 0 = -7*o - 16*o + o. Let p(j) be the second derivative of -1/12*j**4 - 1/30*j**3 + 0*j**2 + o - j. Factor p(y).
-y*(5*y + 1)/5
Let t(a) be the first derivative of -a**7/2520 - a**6/1080 + a**5/360 + a**4/72 + a**3 + 4. Let b(r) be the third derivative of t(r). Factor b(s).
-(s - 1)*(s + 1)**2/3
Let q(u) = -u**2 - 1. Let f(a) = -4*a**2 + 4*a - 10. Let i(n) = -f(n) + 5*q(n). Let d be i(-5). Factor 1/4*x + d - 1/4*x**2.
-x*(x - 1)/4
Let b(u) be the first derivative of -u**4/24 + u**3/12 + 4*u - 9. Let z(l) be the first derivative of b(l). Factor z(t).
-t*(t - 1)/2
Let x(o) be the second derivative of -8*o + 0 - 3/5*o**5 - o**4 - 2/15*o**6 + 0*o**2 - 2/3*o**3. Factor x(i).
-4*i*(i + 1)**3
Determine g, given that -32*g**4 + 15*g**3 + 0*g**3 + 12*g**2 + 35*g**4 = 0.
-4, -1, 0
Let t(x) be the third derivative of 3*x**8/560 - x**7/21 + 7*x**6/45 - 4*x**5/15 - x**4/3 - x**2. Let n(a) be the second derivative of t(a). Factor n(u).
4*(u - 2)*(3*u - 2)**2
Let b be -23 - -20 - (-14)/4. Determine l so that 1/2*l**2 - 1/2*l**3 + b*l - 1/2 = 0.
-1, 1
Let g = 17 + -14. Let b(m) be the first derivative of -9*m**2 - 4*m - 20/3*m**g - 1 + 24/5*m**5 + 5/3*m**6 + 2*m**4. Suppose b(q) = 0. What is q?
-1, -2/5, 1
Let g(t) be the third derivative of t**8/4200 - t**6/450 + t**4/60 - 2*t**3/3 + 3*t**2. Let f(d) be the first derivative of g(d). Factor f(y).
2*(y - 1)**2*(y + 1)**2/5
Factor -38/11*a + 12/11 - 14/11*a**2.
-2*(a + 3)*(7*a - 2)/11
Let x(d) be the third derivative of d**8/560