culate p.
4
Let j be 8/40 + 4/((-60)/(-27)). Factor 0*q**j - 2/5*q + 2/5*q**3 + 0.
2*q*(q - 1)*(q + 1)/5
Let g(w) be the third derivative of w**6/60 + 2*w**5/15 + 5*w**4/12 + 2*w**3/3 - 4*w**2. Find u, given that g(u) = 0.
-2, -1
Let z be 50/6 - 5/15. Solve -28*n**3 + 50*n + 48*n**2 + 10 + 50*n + z + 6 = 0 for n.
-1, -2/7, 3
Let g(z) be the second derivative of 0 + 3*z + 1/3*z**3 + 2/5*z**2 + 2/15*z**4 + 1/50*z**5. Factor g(k).
2*(k + 1)**2*(k + 2)/5
Let s(l) be the second derivative of 0*l**3 + 1/28*l**4 + 10*l - 1/140*l**5 + 0 + 0*l**2. Find k, given that s(k) = 0.
0, 3
Let a(s) be the third derivative of 1/2*s**3 + 0*s - 2*s**2 - 1/20*s**5 + 1/8*s**4 - 1/40*s**6 + 0. Factor a(m).
-3*(m - 1)*(m + 1)**2
Let q = -1/112 + 227/336. Let d = -36 - -110/3. Let -q*f**2 + 0*f + d = 0. What is f?
-1, 1
Let d(b) be the second derivative of 169/18*b**4 - 52/9*b**3 + 6*b + 4/3*b**2 + 0. Solve d(j) = 0 for j.
2/13
Factor 0 - 2/3*p - 2/9*p**4 + 2/3*p**3 + 2/9*p**2.
-2*p*(p - 3)*(p - 1)*(p + 1)/9
Let g(l) be the second derivative of -1/40*l**5 + 1/36*l**3 - 1/36*l**6 + 3*l + 1/72*l**4 + 0 - 1/126*l**7 + 0*l**2. Determine h, given that g(h) = 0.
-1, 0, 1/2
Let a(i) = -2*i**5 - 7*i**4 + 9*i**3 + 6*i**2 - 7*i. Let w(f) = f**4 + f**3 - f. Let b(t) = a(t) + w(t). Determine u, given that b(u) = 0.
-4, -1, 0, 1
Let l be (1*3)/(-7 - (-7 + -1)). Let s(w) be the third derivative of -1/4*w**4 + 1/20*w**5 + 0*w + 0*w**l + 0 - w**2. Factor s(v).
3*v*(v - 2)
Let w(x) = 18*x**4 + 58*x**3 + 72*x**2 + 45*x + 7. Let v(g) = -g**4 - g**3 + g**2 + 1. Let d(m) = 3*v(m) + w(m). Solve d(t) = 0 for t.
-1, -2/3
Let r(i) be the third derivative of -8*i**7/105 + 13*i**6/30 - i**5 + 7*i**4/6 - 2*i**3/3 + 2*i**2. Solve r(y) = 0.
1/4, 1
Let i be (-1)/5 - 66/(-30). Suppose o - i = -0. Factor -1 - 9/4*f**o - 3*f.
-(3*f + 2)**2/4
Suppose -101 = -k - 99. Find s, given that -k - 2/9*s**2 + 4/3*s = 0.
3
Let u(x) be the third derivative of x**6/24 + 5*x**5/6 + 35*x**4/6 + 20*x**3 - 3*x**2. Factor u(b).
5*(b + 2)**2*(b + 6)
Let z = -348 - -3830/11. Determine f so that -z*f + 4/11 - 6/11*f**2 = 0.
-1, 2/3
Let n = 77783/134820 + -136/963. Let t = n + -1/28. Determine v so that 0*v + t*v**5 + 0*v**3 + 0 - 2/5*v**4 + 0*v**2 = 0.
0, 1
Let r(x) = -x + 9. Let h be r(4). Factor -2*t**h + 7*t**5 + 2*t**4 - t**5 + 0*t**5.
2*t**4*(2*t + 1)
Let t be ((-3)/(-3) - -1) + 0. Suppose 4*q + 3*b - 6*b + 1 = 0, 5*q - t*b = 4. Factor -q + 2*f**2 + 2*f**3 - 2 + 4.
2*f**2*(f + 1)
Factor -4*p - 5*p**2 - 6*p + 2*p + p**2.
-4*p*(p + 2)
Let f = 355/72 + -44/9. Let n(m) be the second derivative of 0*m**3 - 1/84*m**7 + 0 + 0*m**2 - f*m**4 + 1/40*m**5 + 2*m + 1/60*m**6. Factor n(l).
-l**2*(l - 1)**2*(l + 1)/2
Let z = 26 - 26. Factor 3/2*j**3 + z - 3/4*j**2 - 3/2*j + 3/4*j**4.
3*j*(j - 1)*(j + 1)*(j + 2)/4
Let x = 6 - 3. Let s(o) = o**3 - 2*o**2. Let a(n) be the first derivative of n**4/4 - n**3 + 1. Let c(m) = x*s(m) - 2*a(m). Solve c(j) = 0 for j.
0
Let y be (-4)/(-22) + 1348/(-33). Let p = 41 + y. Suppose -1/3 + 1/3*k - 1/3*k**3 + p*k**2 = 0. What is k?
-1, 1
Let z be 1 - (1868/16 + 3). Let y = -118 - z. Factor -1/4 - 3/4*g**2 + y*g + 1/4*g**3.
(g - 1)**3/4
Solve -88/3*w - 38/3*w**3 - 10/3*w**4 + 2*w**5 + 8 + 106/3*w**2 = 0 for w.
-3, 2/3, 1, 2
Suppose -m + 3 = -0. Find p, given that p**2 - 7*p**m - 8*p + 8*p**3 + 5 + 6*p**3 - 1 + p**5 - 5*p**4 = 0.
-1, 1, 2
Let n(p) be the first derivative of -p**5 + 25*p**4/2 - 65*p**3/3 - 150*p**2 - 180*p + 44. Factor n(s).
-5*(s - 6)**2*(s + 1)**2
Let a(o) be the first derivative of -4*o**3/21 + 4*o**2 - 28*o - 2. Factor a(k).
-4*(k - 7)**2/7
Factor 2/11*z**2 - 4/11*z**3 + 0 + 0*z.
-2*z**2*(2*z - 1)/11
Suppose -4*f**2 + 72*f + 27 - 409 + 58 = 0. Calculate f.
9
Let s = 220 + -1537/7. Solve s*h**3 - 3/7*h - 3/7 + 3/7*h**2 = 0.
-1, 1
Suppose -2*w - 10 + 3 = 3*a, -w = a + 4. Let o = -5 - w. Determine b so that -1/2*b**2 - 1/4*b**5 + 1/4*b + 1/2*b**4 + o*b**3 + 0 = 0.
-1, 0, 1
What is n in -7*n**2 + 20*n**2 - 14*n**2 = 0?
0
Let f be 2/(-7) - (-1798)/609. Factor -1/6*y**2 + 4/3*y - f.
-(y - 4)**2/6
Let p(m) be the second derivative of m**9/45360 + m**8/5040 + m**7/1512 + m**6/1080 + 2*m**4/3 + 2*m. Let o(r) be the third derivative of p(r). Factor o(t).
t*(t + 1)**2*(t + 2)/3
Factor 5/2*m**3 - 2*m**4 - m**2 + 0*m + 1/2*m**5 + 0.
m**2*(m - 2)*(m - 1)**2/2
Let k(j) be the third derivative of j**8/1176 + j**7/735 + 20*j**2. Factor k(m).
2*m**4*(m + 1)/7
Let g be ((-8)/(-6))/((-80)/(-12) + -6). Let n(p) be the third derivative of 0*p + 1/100*p**5 + 0*p**3 + 0 - 1/40*p**4 + p**g. Solve n(a) = 0 for a.
0, 1
Let q(d) = -24*d + 218. Let c be q(9). Solve 9/2 + 1/2*x**c - 3*x = 0 for x.
3
Let d(h) be the second derivative of h**7/210 + h**6/60 + h**5/60 + 2*h**2 + 2*h. Let l(k) be the first derivative of d(k). Factor l(o).
o**2*(o + 1)**2
Factor 300*h**5 + 3*h**4 + 0*h**4 - 297*h**5 - 12*h**2 - 12*h**3.
3*h**2*(h - 2)*(h + 1)*(h + 2)
Let h(y) be the third derivative of -y**7/105 + 7*y**6/240 + y**5/60 + 6*y**2. Factor h(a).
-a**2*(a - 2)*(4*a + 1)/2
Let q(t) be the second derivative of 1/6*t**3 + 1/12*t**4 - 1/20*t**5 + 0*t**2 - 2*t - 1/30*t**6 + 0. Find z, given that q(z) = 0.
-1, 0, 1
Let a(q) be the third derivative of -q**6/420 - 2*q**5/105 - 5*q**4/84 - 2*q**3/21 - 4*q**2. Determine c, given that a(c) = 0.
-2, -1
Factor 16/19 - 2/19*t**3 + 8/19*t - 4/19*t**2.
-2*(t - 2)*(t + 2)**2/19
Let t(u) be the first derivative of -u**4/6 - 2*u**3/3 - u**2 - 2*u/3 + 6. Factor t(r).
-2*(r + 1)**3/3
Suppose 0 = 7*f - 1 - 13. Find b, given that -2*b - f - 1/2*b**2 = 0.
-2
Let o be 6/2 - ((-7)/(-2) + -1). Factor -1/2*s**2 - s - o.
-(s + 1)**2/2
Let n(u) be the first derivative of -u**4/16 - u**3/4 - 3*u**2/8 - u/4 + 6. Let n(o) = 0. Calculate o.
-1
Suppose -4*n = 10 + 2, 4*b + 5 = -3*n. Suppose t = -g - 0 - b, 6 = -4*t - 5*g. Factor 5*m**2 - t - 2*m**3 + m**3 - 2*m**3 - m.
-(m - 1)**2*(3*m + 1)
Factor 56 - 2*u**2 + 2*u**2 - 48 + 4*u**3 - 12*u.
4*(u - 1)**2*(u + 2)
Let 0*d + 1/5*d**4 + 0*d**2 + 0 + 1/5*d**3 = 0. What is d?
-1, 0
Let c(b) = -2*b + 2*b - 4 + b**2 + 4*b + b. Let y be c(-6). Factor -d**2 - 2*d**4 - d**3 - d**y - 2*d**5 - 5*d**3 - 4*d**4.
-2*d**2*(d + 1)**3
Let k(j) be the first derivative of -j**5/110 + j**4/33 - j**3/33 - 4*j + 1. Let l(y) be the first derivative of k(y). Factor l(o).
-2*o*(o - 1)**2/11
Let k(d) be the second derivative of d**7/42 + d**6/30 - 3*d**5/20 - d**4/12 + d**3/3 + 27*d. Factor k(o).
o*(o - 1)**2*(o + 1)*(o + 2)
Let s(k) be the second derivative of -k**5/20 - k**4/12 + 5*k. What is x in s(x) = 0?
-1, 0
Let z(y) be the first derivative of -y**3/12 + y**2/8 + 2. Suppose z(s) = 0. What is s?
0, 1
Let v(t) be the first derivative of t**6/27 - t**4/9 + t**2/9 - 12. Factor v(s).
2*s*(s - 1)**2*(s + 1)**2/9
Let t(u) be the first derivative of 16/5*u**2 + 1/15*u**6 + 6 + 10/3*u**3 + 8/5*u + 19/10*u**4 + 14/25*u**5. Factor t(y).
2*(y + 1)**3*(y + 2)**2/5
Let m(k) be the second derivative of -k**6/120 + k**4/24 - k**2/8 + 15*k. What is u in m(u) = 0?
-1, 1
Let w(b) be the first derivative of 0*b - 3 - 3/4*b**4 + 0*b**2 - 2*b**3. Determine k so that w(k) = 0.
-2, 0
Suppose 2*g + 3 - 11 = 0. Let d(u) = 6*u**3 - 12*u**2 + 17*u - 11. Let w(a) = 2*a**3 - 4*a**2 + 6*a - 4. Let p(n) = g*d(n) - 11*w(n). Factor p(y).
2*y*(y - 1)**2
Suppose -3*r + 4*p = -9 - 7, 0 = r + 2*p + 8. Suppose o - 1 - 1 = r. Factor y - o*y**3 + y - 3*y**2 + 6*y**2 - 3*y**4.
-y*(y - 1)*(y + 1)*(3*y + 2)
Let p = 6 - 4. Factor -2 - 21*u + 32*u**p - 14*u**3 - u + 6.
-2*(u - 1)**2*(7*u - 2)
Let p(l) = -l**2 - 6*l + 6. Let y be p(-6). Suppose 0 = -g - 8*n + 4*n - 14, -g + n + y = 0. Factor 2*v**g - v**3 - 3*v + 4*v**3 - 4 + 2.
(v - 1)*(v + 1)*(3*v + 2)
Suppose 5 = 2*t - 1. Let w(a) = 3*a**2 - t*a - 5*a - 9*a**2. Let f(h) = -h**3 + 6*h**2 + 9*h - 1. Let v(n) = -2*f(n) - 3*w(n). Factor v(x).
2*(x + 1)**3
Let a(l) be the second derivative of l**7/42 - l**6/15 + l**5/20 + 2*l. What is y in a(y) = 0?
0, 1
Let i(q) be the second derivative of -q + 0 + 0*q**5 - 7/12*q**4 + 3/20*q**6 + q**2 + 2/3*q**3. Let j(x) be the first derivative of i(x). Factor j(b).
2*(b + 1)*(3*b - 2)*(3*b - 1)
Let a(v) be the second derivative of 0 - 5/48*v**4 + 0*v**2 + 3/80*v**5 - 1/12*v**3 + 3*v. Factor a(i).
i*(i - 2)*(3*i + 1)/4
Let x(t) be the thi