culate k.
-1, 0
Let j(p) be the third derivative of -p**7/42 + p**6/12 - 5*p**4/12 + 5*p**3/6 - 29*p**2. Factor j(s).
-5*(s - 1)**3*(s + 1)
Solve -8*c**2 + c**2 + 8*c**2 = 0.
0
Let s(i) be the first derivative of -i**5/4 - 3*i**4/16 + i**3/6 - 5. Factor s(j).
-j**2*(j + 1)*(5*j - 2)/4
Suppose 2*v + 2*k = 5*v - 14, -3*k = 5*v + 2. Suppose -4*z**v + z**2 - 2 + 1 + 4*z**2 = 0. What is z?
-1, 1
Let x = -54 + 164/3. Factor 4/3*s + 2 - x*s**2.
-2*(s - 3)*(s + 1)/3
Let v = 198 - 195. Factor 1/2*y**v - 1/2*y**5 + 0*y + 0 - 1/2*y**4 + 1/2*y**2.
-y**2*(y - 1)*(y + 1)**2/2
Factor -2*d**4 - 9*d**3 - 7*d**3 + 2*d**5 + 2*d**2 + 14*d**3.
2*d**2*(d - 1)**2*(d + 1)
Let m(g) be the second derivative of -g**4/48 - 4*g. Factor m(k).
-k**2/4
Let c(z) be the second derivative of z**7/14 - 3*z**6/10 + z**4 + 2*z. Let c(h) = 0. What is h?
-1, 0, 2
Let o(n) be the first derivative of n**4 - 4*n**3/3 - 2*n**2 + 4*n + 14. Factor o(q).
4*(q - 1)**2*(q + 1)
Let k(s) = s + 8. Let a be 65/(-10) + (-2)/(-4). Let p be k(a). Factor -2*d**p - 5 + d + d + 2*d + 3.
-2*(d - 1)**2
Let o(n) be the second derivative of -1/5*n**5 - 1/15*n**6 + n**2 + 0*n**4 + 2/3*n**3 + 0 - 3*n. Factor o(g).
-2*(g - 1)*(g + 1)**3
Let y(b) = 7*b**2 - 3*b - 2. Let d be y(3). Let q be (-117)/d*4/(-6). Suppose 0*g - 2 - 1/2*g**3 + q*g**2 = 0. What is g?
-1, 2
Find d, given that 3/2*d - 1/4*d**2 + 7/4 = 0.
-1, 7
Suppose 0 = 3*u - 6, 0 = 3*w - u - 2*u + 30. Let b(n) = n**2 + 8*n + 4. Let m be b(w). Factor 15*r**m - 6*r**2 + 11/2*r**3 + 0 - 25/2*r**5 - 2*r.
-r*(r - 1)**2*(5*r + 2)**2/2
Let l = -3 - 0. Let n(i) = -i**2 - 1. Let c(o) = o**4 + 3*o**3 - o**2 + o - 4. Let m(v) = l*c(v) + 12*n(v). Let m(f) = 0. What is f?
-1, 0
Suppose 2*t = 10 - 2. Factor 4*r - 4 - 2*r**3 + 0 - 3*r**2 + 6*r**2 + 0*r**t - r**4.
-(r - 1)**2*(r + 2)**2
Let y(p) be the third derivative of -p**7/280 - 11*p**6/160 - 9*p**5/20 - p**4/2 + 8*p**3 - 31*p**2. Solve y(d) = 0 for d.
-4, 1
Suppose -17*t + 16*t + 2 = 0. Let b be 0 - (-2 + (-9)/(-6)). Suppose 4*m - 2 - 5/2*m**t + b*m**3 = 0. Calculate m.
1, 2
Let p(v) be the third derivative of v**6/360 - v**5/90 - 5*v**2. Find o such that p(o) = 0.
0, 2
Let h(g) be the second derivative of 0*g**5 + 1/84*g**7 + g - 1/12*g**4 + 1/30*g**6 + 0 + 0*g**2 - 1/12*g**3. Factor h(y).
y*(y - 1)*(y + 1)**3/2
Let b = 2168/2513 + -2/359. Factor 6/7*x + 2/7*x**3 - 2/7 - b*x**2.
2*(x - 1)**3/7
Solve 5*x**3 + 50 - 26 + 18*x**2 - 2*x**3 + 36*x = 0 for x.
-2
Let j(p) be the third derivative of p**6/40 - 3*p**4/8 - p**3 - 14*p**2. Solve j(x) = 0.
-1, 2
Solve 3*b**2 + 0 - 9/5*b = 0 for b.
0, 3/5
Let g = 502 - 1498/3. Solve g - 2/3*n**2 + 0*n = 0.
-2, 2
Let a(m) = -m**3 + 6*m**2 - 4*m - 3. Let j be a(5). Let y(d) be the second derivative of -d - 1/2*d**j + 0*d**3 + 0 + 1/12*d**4. Factor y(b).
(b - 1)*(b + 1)
Let y(n) be the third derivative of 2*n**7/105 - n**6/60 - n**5/10 + n**4/12 + n**3/3 + 14*n**2. Suppose y(p) = 0. Calculate p.
-1, -1/2, 1
Suppose 4*l = -3 - 5, -3*m = 3*l. Let h(w) be the third derivative of -1/180*w**5 - 1/24*w**4 + m*w**2 + 0 + 0*w**3 + 0*w. Factor h(c).
-c*(c + 3)/3
Let q(n) be the first derivative of 10*n**3/3 + 5*n**2/2 - 1. Factor q(u).
5*u*(2*u + 1)
Let u(m) = -5*m**3 - 6*m**2 - m. Let y(c) = 11*c**3 + 13*c**2 + 3*c. Let l(d) = 9*u(d) + 4*y(d). Factor l(k).
-k*(k - 1)*(k + 3)
Let b = -390 - -395. Factor 0*u**4 - 4/11*u**3 + 2/11*u**b + 0 + 2/11*u + 0*u**2.
2*u*(u - 1)**2*(u + 1)**2/11
Let q(r) be the second derivative of -r**5/20 + r**4/3 - 5*r**3/6 + r**2 - 17*r. Factor q(a).
-(a - 2)*(a - 1)**2
Let d(a) = -9 + 4*a - 5*a + 17. Let o be d(6). Solve -2/7*l + 2/7*l**o + 0 = 0.
0, 1
Let i(y) be the second derivative of -y**5/90 + y**4/27 - y**3/27 + 3*y. Solve i(h) = 0 for h.
0, 1
Let a(g) be the second derivative of -g**6/30 - g**5/5 + 8*g**3/3 + 2*g**2 + 4*g. Let h(u) be the first derivative of a(u). Solve h(n) = 0.
-2, 1
Let q be (6/(-15))/(2/(-40)). Suppose -5*n + q = -27. Factor -9*r - r**3 + 9*r**2 + 7*r - 9*r**4 + n*r**5 - 4*r**3.
r*(r - 1)**2*(r + 1)*(7*r - 2)
Factor -8*i + 24*i - 3*i**2 - i**2.
-4*i*(i - 4)
Let h(y) = -y**5 + y**4 - y**3 - 11*y**2 + 10*y - 6. Let t(v) = -3*v**5 + 2*v**4 - 4*v**3 - 33*v**2 + 29*v - 19. Let g(f) = 7*h(f) - 2*t(f). Factor g(n).
-(n - 2)*(n - 1)**3*(n + 2)
Let v = 155/2 + -76. Factor -3/2*o**2 + 0 + v*o.
-3*o*(o - 1)/2
Determine v, given that -5*v + 44*v**2 + 15*v + 0*v - 39*v**2 = 0.
-2, 0
Let s(k) be the second derivative of k**4/6 + k**3/3 - 2*k**2 - 8*k. Let s(u) = 0. What is u?
-2, 1
Let z(u) be the first derivative of u**5/5 - 4*u**3/3 + 9. Factor z(d).
d**2*(d - 2)*(d + 2)
Let v be (-24)/(-7) - 3 - 18/42. Let f(h) be the second derivative of 1/21*h**3 + 1/70*h**5 + 1/21*h**4 + v*h**2 + 2*h + 0. Factor f(q).
2*q*(q + 1)**2/7
Let m be ((-3)/(-9))/(2/18). Let a(u) be the first derivative of 8/5*u + 4/5*u**2 + 2/15*u**m - 1. Determine d so that a(d) = 0.
-2
Let n be ((-36)/264)/((-30)/55). Factor m**3 + 0 - 5/4*m**2 - n*m**4 + 1/2*m.
-m*(m - 2)*(m - 1)**2/4
Let l be 2/(-6) - 28/42 - -3. Let 0 - 2/3*w - 2/3*w**l = 0. What is w?
-1, 0
Let j(r) be the first derivative of -7*r**6/15 + 6*r**5/5 - r**4/2 - 2*r**3/3 + 4*r - 5. Let p(o) be the first derivative of j(o). Factor p(z).
-2*z*(z - 1)**2*(7*z + 2)
Let v(k) be the second derivative of 3*k**7/7 - 11*k**6/15 - 7*k**5/10 + 11*k**4/6 - 2*k**3/3 + 33*k. Let v(q) = 0. Calculate q.
-1, 0, 2/9, 1
Let g(r) be the third derivative of r**5/330 + r**4/44 + 2*r**3/33 - 8*r**2. Solve g(a) = 0 for a.
-2, -1
Suppose -o - o = -4. Factor -2*h - 3*h**2 + 0*h**4 - 1 - 3*h**2 - h**4 - 4*h**3 - o*h.
-(h + 1)**4
Suppose r = -r. Suppose 2*w - w - 3 = r. Suppose -9*b - 4*b**2 - w*b**3 - 9*b**2 + 4*b**2 - 3 = 0. What is b?
-1
Let k(l) be the second derivative of -l**6/75 - l**5/25 + l**4/10 + 4*l**3/15 - 4*l**2/5 + 46*l. What is h in k(h) = 0?
-2, 1
Factor 18*s**2 + 0*s**2 - 4*s**2 - 112*s + 784 - 10*s**2.
4*(s - 14)**2
Let w(r) be the third derivative of -r**5/12 + 35*r**4/24 - 5*r**3 - 29*r**2. Factor w(d).
-5*(d - 6)*(d - 1)
Let s(g) be the first derivative of 2/15*g**5 + 1/3*g**2 - 4/9*g**3 - 1/3*g**4 + 2 + 2/3*g + 1/9*g**6. Factor s(u).
2*(u - 1)**2*(u + 1)**3/3
Suppose -6*m = -7*m. Factor m + 2/9*d**2 + 4/9*d - 2/9*d**3.
-2*d*(d - 2)*(d + 1)/9
Let z(r) = 5*r**3 - 4*r**2 - 5*r + 4. Let h(p) = -p**3 + p. Let v(b) = 3*h(b) + z(b). Factor v(l).
2*(l - 2)*(l - 1)*(l + 1)
Let m(d) = -d**3 + 8*d**2 - 16*d + 24. Let j be m(6). Let 2/3*k**3 - 2/3*k**4 + j*k**2 + 0*k + 0 = 0. Calculate k.
0, 1
Factor -13*y + 5*y**2 + 14*y - y**2 + y**3 - 2*y**2.
y*(y + 1)**2
Solve -w - 1/2*w**2 - 1/2 = 0 for w.
-1
Let j(l) be the first derivative of -7/6*l**4 - 2*l**5 + 0*l**2 - l**6 + 9 - 2/9*l**3 + 0*l. What is r in j(r) = 0?
-1, -1/3, 0
Let x(l) be the first derivative of -2*l**3/21 - 2*l**2/7 + 6*l/7 + 4. What is s in x(s) = 0?
-3, 1
Let k be (11/264)/((-10)/(-8)). Let o(w) be the second derivative of -k*w**6 - 2/3*w**4 + 0 + 1/4*w**5 + 0*w**2 - 3*w + 2/3*w**3. Find c such that o(c) = 0.
0, 1, 2
Let m(b) be the second derivative of -b**9/22680 - b**8/3360 - b**7/1260 - b**6/1080 + b**4/4 + 3*b. Let d(g) be the third derivative of m(g). Factor d(z).
-2*z*(z + 1)**3/3
Suppose 0 + 0*w**2 + 0*w**4 - w**3 + 1/2*w**5 + 1/2*w = 0. What is w?
-1, 0, 1
Let q be 64/(-112)*-7*(3 - 2). Factor -1/4*g**2 + 1/4*g**q + 1/2*g + 0 - 1/2*g**3.
g*(g - 2)*(g - 1)*(g + 1)/4
Let r(y) be the second derivative of y**6/10 - y**4/2 + 3*y**2/2 + 4*y. Factor r(s).
3*(s - 1)**2*(s + 1)**2
Suppose x**2 + 3*x**2 - 12*x + 1 + 5 + 2 = 0. What is x?
1, 2
Suppose 0*p + 5 = p. Suppose -1 = -p*d + 24. Determine y, given that -5*y**4 - 3*y**5 + 2*y**2 + 2*y**d + 2*y**4 - 2*y**3 + 3*y + 1 = 0.
-1, 1
Let k(z) be the third derivative of z**7/210 - z**6/30 + z**5/10 - z**4/6 + z**3/6 + 2*z**2. Let k(g) = 0. What is g?
1
Let b be 1/(((-70)/(-4))/5). Determine l, given that -6/7*l**4 + 4/7*l - 2/7*l**5 + 0 - b*l**3 + 6/7*l**2 = 0.
-2, -1, 0, 1
Factor 60 - 60 - 4*n + 3*n**2 + n**2 + 12*n**4 + 20*n**3.
4*n*(n + 1)**2*(3*n - 1)
Let j(c) be the third derivative of 0 + 1/20*c**5 + 1/40*c**6 - 2*c**2 - 1/8*c**4 + 0*c**3 + 0*c - 1/70*c**7. Factor j(q).
-3*q*(q - 1)**2*(q + 1)
Let c(u) be the third derivative of u**8/168 - 2*u**7/35 + u**6/5 - u**5/3 + u**4/4 - 45*u**2. Factor c(z).
2*z