se -w - 3*x - 3 = 0, 2*w + x = -0*x - 1. Let z(s) be the second derivative of 1/6*s**4 + w + s**3 + 2*s + 2*s**2. Determine p, given that z(p) = 0.
-2, -1
Let u = -6 + 2. Let r = u - -7. Find j such that -3*j**2 + r - 2*j - 2*j**2 + 4*j**2 - 4 = 0.
-1
Let h(w) be the first derivative of 1 + 0*w - 2*w**2 - 5/2*w**4 - 14/3*w**3. Let h(n) = 0. What is n?
-1, -2/5, 0
Let n = -8 - -3. Let p be 1/(-2) + n/(-2). Solve -r + 2*r**p + 2*r - 3*r = 0.
0, 1
Let y(h) be the first derivative of h**6/105 - h**5/70 - h**4/21 - h + 3. Let g(w) be the first derivative of y(w). Factor g(u).
2*u**2*(u - 2)*(u + 1)/7
Suppose 5*q + 33 = 2*w, -2*w = -5*w + q + 17. What is y in -3*y**w - 2*y**2 - 8*y**3 - y**4 - y**2 - y**2 = 0?
-1, 0
Factor 2/5*a**5 + 0 + 0*a**2 + 0*a**4 + 0*a**3 + 0*a.
2*a**5/5
Let l = 2/349 + 692/1047. Let 4/3*b - l*b**2 - 2/3 = 0. Calculate b.
1
Let h(l) be the third derivative of -l**8/5040 - l**7/630 - l**6/180 - 3*l**5/20 - 6*l**2. Let g(q) be the third derivative of h(q). Let g(n) = 0. Calculate n.
-1
Let p(t) = t**3 - 7*t**2 + 6*t + 2. Let v be p(6). Suppose v*d - 5*f = -2*d + 25, -2*f - 10 = 2*d. Factor d + 0*s + 0*s**2 + 1/4*s**3.
s**3/4
Let s(r) be the first derivative of 2*r**5/25 - r**4/5 + 2*r**3/15 - 41. What is a in s(a) = 0?
0, 1
Let j be (-1)/5 - 19/5. Let s(c) = -c**2 - 6*c - 6. Let a be s(j). Suppose 2*g**a - g**5 - 2*g**4 + 8*g + g**3 - 8*g = 0. What is g?
-2, -1, 0, 1
Let f(b) = -b**2 - 9*b - 10. Let t be f(-7). Suppose -3*m - o = -0*o - 1, m + 4*o - t = 0. Suppose -2/5*k**2 - 2/5*k**3 + m + 0*k = 0. What is k?
-1, 0
Let f(m) be the third derivative of m**8/224 - m**7/20 + 19*m**6/80 - 5*m**5/8 + m**4 - m**3 - 26*m**2. Let f(a) = 0. Calculate a.
1, 2
Let t(a) = a**3 + 7*a**2 - 5*a + 4. Let c be t(-6). Let o be 10/(-25) - (-88)/c. Factor o*s**5 + 0*s + 2/7*s**3 + 0*s**2 + 0 + 8/7*s**4.
2*s**3*(s + 1)*(3*s + 1)/7
Let x(p) be the second derivative of -2*p + 0 - 3/2*p**2 + 1/2*p**3 + 1/4*p**4 - 3/20*p**5. Factor x(i).
-3*(i - 1)**2*(i + 1)
Determine s, given that -2*s**2 + 160/3*s**4 - 272/9*s**3 + 10/3*s - 4/9 = 0.
-1/3, 1/4, 2/5
Let h = 6143/3 - 2078. Let t = h - -31. Solve -y - t - 7/3*y**3 + 4*y**2 = 0.
-2/7, 1
Let h(q) = 6*q**5 + 2*q**4 - 8*q**3 + 4*q**2 + 4*q - 4. Let v(w) = 5*w**5 + w**4 - 7*w**3 + 3*w**2 + 3*w - 3. Let f(i) = -3*h(i) + 4*v(i). Factor f(p).
2*p**3*(p - 2)*(p + 1)
Let z(j) = 11*j**3 + 4*j**2 - 11*j + 9. Let f(b) = -5*b**3 - 2*b**2 + 5*b - 4. Let v(n) = -13*f(n) - 6*z(n). Solve v(w) = 0 for w.
-1, 1, 2
Let m(n) be the first derivative of 0*n + 0*n**4 - 1 + 0*n**2 - 2/35*n**5 + 2/21*n**3. Factor m(d).
-2*d**2*(d - 1)*(d + 1)/7
Suppose 2 = -4*z + 26. Determine n so that -6 + 4*n**2 + z + 2*n**3 + 2*n = 0.
-1, 0
Let f = 5 - 5. Let k be 23 - f/(-1 - -2). Factor -36*v**3 + v + 2*v**4 + 5*v - 9*v**2 - k*v**4.
-3*v*(v + 1)**2*(7*v - 2)
Let f = -8 - -19. Let 30*j**3 - f*j**4 + 2 - 4*j**4 - 30*j**2 - 5 + 15*j + 3*j**5 = 0. What is j?
1
Suppose -4 = -2*g - 4. Suppose -2/5*i**3 + 2/5*i**5 + 4/5*i**2 + 0*i + g - 4/5*i**4 = 0. What is i?
-1, 0, 1, 2
Factor -14/11*b - 18/11*b**2 - 4/11 - 2/11*b**4 - 10/11*b**3.
-2*(b + 1)**3*(b + 2)/11
Let n(u) = -2*u**2 + 3*u + 5. Let o(f) be the first derivative of -1 - 3*f - f**2 + 1/3*f**3. Let x(k) = 3*n(k) + 5*o(k). Factor x(t).
-t*(t + 1)
Let c(r) be the third derivative of 0 + 0*r**3 + 1/40*r**6 + r**2 + 1/24*r**4 - 1/210*r**7 - 1/20*r**5 + 0*r. Factor c(b).
-b*(b - 1)**3
Let x(o) be the third derivative of -o**6/360 + o**5/180 + o**4/72 - o**3/18 + 45*o**2. Factor x(z).
-(z - 1)**2*(z + 1)/3
Let a(z) be the first derivative of 2/33*z**3 + 0*z + 3 + 1/11*z**2. Determine v so that a(v) = 0.
-1, 0
Let m(j) be the second derivative of -3*j - 1/54*j**4 + 0 + 0*j**3 + 0*j**2. Factor m(i).
-2*i**2/9
Factor -2*b**2 - 3*b + 2*b + 3*b.
-2*b*(b - 1)
Let h(n) be the second derivative of -n**6/300 + 2*n**5/75 - n**4/15 - n**3/6 + 5*n. Let z(v) be the second derivative of h(v). Suppose z(j) = 0. Calculate j.
2/3, 2
Let y(b) be the third derivative of b**7/13860 + b**6/3960 - b**5/330 - b**4/24 - 3*b**2. Let c(u) be the second derivative of y(u). Factor c(s).
2*(s - 1)*(s + 2)/11
Let d(s) be the first derivative of 3*s**5/10 + 3*s**4/4 - 3*s**2/2 - 3*s/2 + 19. Find r such that d(r) = 0.
-1, 1
Let a(i) be the third derivative of i**7/2940 - i**5/420 + i**3/6 - 3*i**2. Let v(d) be the first derivative of a(d). Factor v(n).
2*n*(n - 1)*(n + 1)/7
Let d(k) be the third derivative of -k**7/165 + k**6/330 + 7*k**5/330 - k**4/66 + 12*k**2. Let d(g) = 0. Calculate g.
-1, 0, 2/7, 1
Let v = -24180 - -4956816/205. Let z = -2/205 - v. Let 2/5*p**5 - 8/5*p**2 + 12/5*p**3 - 8/5*p**4 + z*p + 0 = 0. What is p?
0, 1
Let k(f) be the first derivative of 0*f + 0*f**2 - 2 + 0*f**3 + 4/45*f**5 + 1/18*f**4 + 1/27*f**6. Factor k(q).
2*q**3*(q + 1)**2/9
Let h(o) be the first derivative of -o**9/1512 + o**8/420 - o**7/420 + o**3 + 1. Let s(y) be the third derivative of h(y). Solve s(g) = 0.
0, 1
Let r be -1*(0 - (1 + 5)). Let w(p) be the third derivative of 4*p**2 + 1/6*p**3 - 7/240*p**5 + 1/12*p**4 + 0*p - 1/96*p**r + 0. Suppose w(k) = 0. Calculate k.
-2, -2/5, 1
Let i = 84 - 81. Factor -1/2*p**2 + 0*p - 1/2*p**4 - p**i + 0.
-p**2*(p + 1)**2/2
Suppose -3 = b - o - 5, -2*b + 4 = 5*o. Factor -3 + 0*d**4 + 3 - 3*d**5 + 3*d**3 - 3*d**b + 3*d**4.
-3*d**2*(d - 1)**2*(d + 1)
Suppose 3*r = -2*r + 5*v + 215, 0 = -5*v + 20. Let l = -234/5 + r. Factor 1/5*t**2 - 1/5*t**3 + 1/5*t - l.
-(t - 1)**2*(t + 1)/5
Let g(a) be the first derivative of -2*a**7/63 - a**6/15 - a**5/30 - 2*a + 3. Let u(v) be the first derivative of g(v). Factor u(n).
-2*n**3*(n + 1)*(2*n + 1)/3
Let v(m) be the second derivative of 32/27*m**3 + 0 + 4/9*m**2 + 49/90*m**5 + 77/54*m**4 - m. Solve v(c) = 0.
-1, -2/7
Let c be (4 + (-1568)/385)*(-140)/8. Let 6/11*v**2 - 12/11 + c*v = 0. Calculate v.
-3, 2/3
Suppose 0 - 39/2*p**2 - 3*p - 81/2*p**3 - 69/2*p**4 - 21/2*p**5 = 0. What is p?
-1, -2/7, 0
Let p = 0 - 0. Let u be (3 - 1)*(-27)/(-18). Factor 0*x**u + p + 1/5*x**4 + 0*x**2 - 1/5*x**5 + 0*x.
-x**4*(x - 1)/5
Let o be ((-2)/(-4))/((-1)/(-2)). Factor -y + o - y**2 - y**3 + 0 + 2*y**3.
(y - 1)**2*(y + 1)
Let f(u) be the second derivative of -u**8/30240 + u**7/3780 - u**6/1080 + u**5/540 - 5*u**4/12 - 5*u. Let v(y) be the third derivative of f(y). Factor v(q).
-2*(q - 1)**3/9
Let v(g) be the second derivative of -g**9/22680 + g**8/5040 - g**7/3780 + g**4/4 + 2*g. Let c(p) be the third derivative of v(p). Solve c(r) = 0.
0, 1
Suppose -3*k = -0*k. Let m(l) be the second derivative of -1/12*l**4 + 3/20*l**5 + 0*l**2 - 1/10*l**6 - 2*l + k*l**3 + 1/42*l**7 + 0. Factor m(g).
g**2*(g - 1)**3
Let m = -27 - -31. Let p(g) be the first derivative of 0*g**2 - 2 + 1/12*g**6 + 0*g + 1/10*g**5 - 1/6*g**3 - 1/8*g**m. Factor p(r).
r**2*(r - 1)*(r + 1)**2/2
Let y(s) be the first derivative of -4*s**5/15 + 8*s**3/3 + 16*s**2/3 + 4*s - 2. Factor y(r).
-4*(r - 3)*(r + 1)**3/3
Let m(p) be the second derivative of -p**7/2520 - p**4/12 + 3*p. Let y(g) be the third derivative of m(g). Let y(o) = 0. What is o?
0
Let i(s) = -s - 6. Let d be i(-8). Let q(h) be the first derivative of 1/3*h**3 + 1/4*h**4 + 0*h + 0*h**d - 1/5*h**5 - 1/6*h**6 - 1. Solve q(r) = 0.
-1, 0, 1
Let j(n) = -n**2 + n. Let g(d) = -4*d**2 + 4*d + 2. Let t be (2 + -1 + 2)*1. Let o(p) = t*j(p) - g(p). Find v, given that o(v) = 0.
-1, 2
Suppose 3*j + 2*j = 35. Factor -3*m**2 - 3 - 2*m**3 - j*m**3 - m**4 + 7*m**4 + 9*m.
3*(m - 1)**2*(m + 1)*(2*m - 1)
Factor -15*h**3 - 12*h**4 + 22*h**4 + 20*h - 5*h**4.
5*h*(h - 2)**2*(h + 1)
Let w(j) = -2*j**2 - 2*j. Suppose x + 5 = 2. Let g(n) = 2*n**2 + 2*n. Let q(b) = x*w(b) - 2*g(b). Solve q(p) = 0.
-1, 0
Let i(y) be the first derivative of -y**3/6 - y**2 + 5*y/2 - 27. Determine s, given that i(s) = 0.
-5, 1
Let z(v) be the third derivative of -v**8/84 - 2*v**7/105 + v**6/10 + v**5/3 + v**4/3 - 12*v**2. Factor z(u).
-4*u*(u - 2)*(u + 1)**3
Let l(g) = g**2 - 8*g + 12. Let i(c) = -2*c - 26. Let s be i(-16). Let j be l(s). Let -2/13*w**4 + 0*w**2 + 2/13*w**3 + j + 0*w = 0. Calculate w.
0, 1
Factor 0 + 4/5*f**5 + 0*f**4 + 0*f**2 + 0*f - 4/5*f**3.
4*f**3*(f - 1)*(f + 1)/5
Factor m**2 - 3 + 3 - 3*m + 2*m**2 - 6.
3*(m - 2)*(m + 1)
Suppose -2*l + l = 3. Let g be (l/4)/((-3)/2). Find w, given that -