ird derivative of -k**8/294 + 2*k**7/147 - k**6/105 - 4*k**5/105 + 2*k**4/21 - 2*k**3/21 - 5*k**2. Determine l so that j(l) = 0.
-1, 1/2, 1
Let p be 2/(-4*2) - 3/(-6). Factor 0*t**4 + 0*t - p*t**5 + 0*t**2 + 1/4*t**3 + 0.
-t**3*(t - 1)*(t + 1)/4
Let w(a) be the second derivative of -a**8/112 - a**7/105 + a**6/40 + a**5/30 + a**2/2 - a. Let o(s) be the first derivative of w(s). Solve o(q) = 0.
-1, -2/3, 0, 1
Let h be 1*2 - (13 - 6). Let k = -2 - h. Suppose -4*v**3 + 6*v - 3 + 2*v**k - 4 + 3 = 0. Calculate v.
-2, 1
Factor 6*r**2 + 0*r**4 - 2*r**4 - 3 + 0*r**4 - r**4.
-3*(r - 1)**2*(r + 1)**2
Let m(h) = -3*h - 7. Let b be m(-3). Let q(j) be the second derivative of -2/21*j**3 + 0 - b*j + 1/42*j**4 + 1/7*j**2. Factor q(d).
2*(d - 1)**2/7
Factor -105 + 0*m + 87 - 2*m**3 - 3*m + 4*m**2 + 3*m**3.
(m - 2)*(m + 3)**2
Suppose -5*n - 25 + 0 = 2*s, 2*n = -10. Find q, given that -2/5*q**2 - 2/5*q**4 + 0 - 4/5*q**3 + s*q = 0.
-1, 0
Let d be (0 - (0 - -4))*(-251)/5522. Factor 2/11*g**2 - 2/11*g + 2/11*g**3 - d.
2*(g - 1)*(g + 1)**2/11
Suppose 4 - 1 = f. Factor a**2 + 4*a**2 + 3 - 6*a - f*a**2 + a**2.
3*(a - 1)**2
Let v = 1788/5 + -357. Determine l, given that v*l**2 - 9/5 + 6/5*l = 0.
-3, 1
Let l(q) be the third derivative of -q**5/330 + q**4/66 + q**3/11 - 7*q**2. Solve l(z) = 0 for z.
-1, 3
Factor 27/2 - 27*f + 1/2*f**4 - 5*f**3 + 18*f**2.
(f - 3)**3*(f - 1)/2
Let a(p) be the second derivative of p**6/36 + p**5/24 - 5*p**4/18 - 5*p**3/9 + 9*p. Factor a(u).
5*u*(u - 2)*(u + 1)*(u + 2)/6
Let u = 21 - 39. Let v be (-188)/(-36) + 4/u. Solve -5 + v + r**3 - r = 0 for r.
-1, 0, 1
Let n(k) be the first derivative of 7*k**3/3 + 3*k**2/2 - 4*k + 2. Solve n(y) = 0 for y.
-1, 4/7
Let l(a) be the second derivative of a**4/24 + a**3/8 + a**2/8 + 7*a. Factor l(m).
(m + 1)*(2*m + 1)/4
Suppose -3*i = -15 - 57. Factor -8*t**3 - i*t**2 - 20*t**3 - 18*t**3 - 4*t + t**3 - 25*t**4.
-t*(t + 1)*(5*t + 2)**2
Suppose -12*p = -11*p - 3. Let m(g) be the third derivative of -p*g**2 + 1/12*g**4 + 0*g + 0*g**3 + 7/60*g**5 + 1/24*g**6 + 0. Factor m(o).
o*(o + 1)*(5*o + 2)
Let f(c) be the third derivative of c**8/112 + c**7/210 - c**6/60 - 5*c**2. Solve f(g) = 0 for g.
-1, 0, 2/3
Let r(o) be the third derivative of 0 - 1/24*o**4 + 1/120*o**6 + 3*o**2 + 1/60*o**5 - 1/6*o**3 + 0*o. Factor r(l).
(l - 1)*(l + 1)**2
Let k(g) be the third derivative of 1/50*g**6 - 1/350*g**7 - 3*g**2 + 0*g - 3/50*g**5 + 1/10*g**4 - 1/10*g**3 + 0. Suppose k(p) = 0. Calculate p.
1
Suppose 1 = 3*f - 5*c + 5, -3*c + 9 = -4*f. Let t = 7 + f. Factor -3*n**2 + n**2 - 4*n**4 - 11*n**3 - 12*n**t - 7*n**5.
-n**2*(n + 1)**2*(7*n + 2)
Suppose -4*l = -7*l. Let z(i) be the second derivative of 0*i**2 + 0*i**3 - 3*i + 0*i**5 + 1/165*i**6 + l - 1/66*i**4. Solve z(t) = 0.
-1, 0, 1
Factor -1/6*b**3 + 2 - 8/3*b + 7/6*b**2.
-(b - 3)*(b - 2)**2/6
Suppose 0 = -o + 2 + 2. Let x be (-4)/5*10/(-4). Factor -3*y**x - 2/3 + 7/3*y + 5/3*y**3 - 1/3*y**o.
-(y - 2)*(y - 1)**3/3
Find s such that -12 + 3*s**2 + 0*s**2 - 7*s**2 - 12 + 20*s = 0.
2, 3
Suppose -3*j = -5 + 2. Suppose -1 - j = -a. Suppose 3 + m**4 - m**a - 3 + m**3 - m = 0. Calculate m.
-1, 0, 1
Let y(n) be the third derivative of 0 + 1/90*n**5 + 0*n + 1/9*n**3 - 1/18*n**4 + n**2. Suppose y(d) = 0. Calculate d.
1
Let a(n) = 4*n**2 + 9*n - 11. Let y(z) = 5*z**2 + 9*z - 12. Let f(s) = 6*a(s) - 5*y(s). Let j be f(8). Factor -1/2*u**j + 1/2 - 2*u**3 + 2*u.
-(u - 1)*(u + 1)*(4*u + 1)/2
Suppose 0*t = -2*t. Suppose h + 4*h + 5 = 5*l, -3*l + h + 1 = 0. Solve 2/3*z**3 + 0 + t*z**2 + l*z = 0.
0
Let x(g) be the second derivative of g**4/12 + 7*g**3/6 + 3*g**2 - 62*g. Suppose x(a) = 0. What is a?
-6, -1
Let c(u) be the second derivative of -u**7/6300 + u**6/1800 - u**4/2 + 2*u. Let n(r) be the third derivative of c(r). Find f such that n(f) = 0.
0, 1
Let t be ((-1)/(-60))/(4/10). Let m(d) be the second derivative of 2*d + 1/40*d**5 + 0*d**3 + 0 - t*d**4 + 0*d**2. Let m(j) = 0. What is j?
0, 1
Let q(j) = -29*j**3 - 156*j**2 - 593*j - 432. Let w(d) = 5*d**3 + 26*d**2 + 99*d + 72. Let b(o) = 6*q(o) + 34*w(o). What is m in b(m) = 0?
-6, -1
Let g be 305/(-122)*4/(-55). Factor g*p + 0 - 6/11*p**2 + 6/11*p**3 - 2/11*p**4.
-2*p*(p - 1)**3/11
Let x(l) be the second derivative of -1/3*l**4 - l + 0 - 32*l**2 + 16/3*l**3. Let x(w) = 0. Calculate w.
4
Let q(d) be the third derivative of d**9/15120 + d**8/6720 - d**7/2520 - d**6/720 - d**4/24 + 3*d**2. Let h(j) be the second derivative of q(j). Factor h(l).
l*(l - 1)*(l + 1)**2
Suppose -3*u - 11 = -4*j - 6*u, 3*j - 5*u = 1. Suppose -2 - j*v - 1/2*v**2 = 0. What is v?
-2
Let f(y) be the third derivative of -y**5/150 - y**4/10 - 3*y**3/5 - 6*y**2. Factor f(z).
-2*(z + 3)**2/5
Factor 5*z**2 + 7*z - 4*z + z - z**2.
4*z*(z + 1)
Let v(h) be the second derivative of 10*h - 51/8*h**4 + 0*h**2 - 7/20*h**6 - 3*h**5 + 0 + 9/2*h**3. Factor v(u).
-3*u*(u + 3)**2*(7*u - 2)/2
Let w(b) be the second derivative of -b**4/20 - b**3/10 - 10*b. Factor w(l).
-3*l*(l + 1)/5
Let r(i) = i**2 + 17*i + 4. Let s be r(-17). Let x(c) be the second derivative of -1/30*c**6 + 1/6*c**3 + 0*c**2 + 1/12*c**s - 1/20*c**5 + 0 - 2*c. Factor x(o).
-o*(o - 1)*(o + 1)**2
Factor 0 - 1/3*v**3 + 0*v + 2/3*v**2.
-v**2*(v - 2)/3
Suppose 27 = 2*p + 3. Suppose -2*t + 3 = -2*d + 7, 0 = -4*d + 2*t + p. Factor 0 + d*j**3 + 0*j - 5/3*j**4 - 4/3*j**2.
-j**2*(j - 2)*(5*j - 2)/3
Let t be 4/330*(-1254)/110. Let r = t - -8/25. Suppose r*u**3 + 6/11*u + 6/11*u**2 + 2/11 = 0. What is u?
-1
Let q(s) = -s**5 - s**3 - s**2 - s + 1. Let y(i) = i**5 - 8*i**3 - 2*i**2 + i + 2. Let m(n) = 2*q(n) - y(n). Solve m(a) = 0 for a.
-1, 0, 1
Let w(o) be the first derivative of -1/20*o**5 - 3/16*o**4 - 6 - 1/4*o**3 + 0*o - 1/8*o**2. Find z, given that w(z) = 0.
-1, 0
Let f(j) be the second derivative of -j**4/48 + j**3/6 - 3*j**2/8 + 4*j. Suppose f(i) = 0. Calculate i.
1, 3
Factor 0*q + 3/5*q**2 - 3/5.
3*(q - 1)*(q + 1)/5
Let m(j) = -12*j**2 + 3*j - 12. Let l(f) = f**2 - f + 1. Let k = 15 - 24. Let u(i) = k*l(i) - m(i). Let u(n) = 0. What is n?
-1
Suppose -4*q + 13 = -0*q - p, q - 5*p = 8. What is v in 0*v + 1/2*v**4 - 1/2*v**2 - 1/2*v**5 + 1/2*v**q + 0 = 0?
-1, 0, 1
Let f(w) be the first derivative of 16/3*w**3 - 4/5*w**5 + 7*w**2 - 4 + w**4 + 4*w - 1/3*w**6. Solve f(v) = 0.
-1, 2
Suppose -12 = -9*c + 5*c. Let u(m) be the first derivative of 0*m - 1/7*m**2 + 1 - 3/14*m**4 - 2/35*m**5 - 2/7*m**c. Let u(w) = 0. What is w?
-1, 0
Let k be (-12)/(-7) + 2/7. Suppose -4*v + 0 + 3*v**2 - v**k + 0*v**2 + 2 = 0. Calculate v.
1
Let i(r) = -r**3 - 12*r**2. Suppose -w = w - 4*t + 24, 0 = -4*w - 4*t - 48. Let n be i(w). What is x in 0*x + n - 4/3*x**2 - 10/3*x**3 = 0?
-2/5, 0
Let n(w) be the first derivative of w**4/4 - w**3 - 4. Factor n(v).
v**2*(v - 3)
Let w(c) be the third derivative of 0*c + 2*c**2 + 1/35*c**5 + 1/735*c**7 + 0 - 1/21*c**4 + 1/84*c**6 - 8/21*c**3. Factor w(y).
2*(y - 1)*(y + 2)**3/7
Let j = 5922/143 - 442/11. Determine m so that 0 - 14/13*m**4 - 8/13*m - j*m**2 + 38/13*m**3 = 0.
-2/7, 0, 1, 2
Factor f**3 + 21*f - 70*f + 22*f + 26*f.
f*(f - 1)*(f + 1)
Let f(j) be the second derivative of 0 - 1/60*j**5 + 4/3*j**2 + 1/6*j**4 + 9*j - 2/3*j**3. Factor f(v).
-(v - 2)**3/3
Factor 4/7*o**2 - 32/7 - 8/7*o.
4*(o - 4)*(o + 2)/7
Let u(y) be the first derivative of y**4 - 3*y**2 + 6/5*y**5 - 2*y + 1/3*y**6 - 4/3*y**3 + 3. Solve u(i) = 0 for i.
-1, 1
Let i = -25 - -23. Let k be i/(-7) + 24/14. What is z in 0 - 3/2*z**2 + k*z**3 - 1/2*z = 0?
-1/4, 0, 1
Let l = 9 - 7. Let u(p) be the first derivative of 1/3*p**3 - 2*p**l + 4*p + 1. Determine v so that u(v) = 0.
2
Let n(z) = -z**3 + 7*z**2 + z - 4. Suppose -2*w = -11 - 3. Let b be n(w). Determine p, given that b*p - 1 - 3*p + 2*p - p**2 = 0.
1
Let a = -2 + 0. Let s(j) = j**2 + j + 1. Let v be s(a). Factor -2/3 - 2/3*g**v - 2*g**2 - 2*g.
-2*(g + 1)**3/3
Let i be (10/15)/((-2)/(-16)). What is b in 0 + 8/3*b**5 + 10/3*b**3 + 0*b - 2/3*b**2 - i*b**4 = 0?
0, 1/2, 1
Let z(s) = 10*s**5 + 92*s**4 + 48*s**3 - 80*s**2 - 58*s. Let b(m) = 4*m**5 + 37*m**4 + 19*m**3 - 32*m**2 - 23*m. Let t(c) = -12*b(c) + 5*z(c). Factor t(v).
2*v*(v - 1)*(v + 1)**2*(v + 7)
Suppose 5*a - 2*a = 21. Suppose -2*w + a = 3. Let -2/3*i**w + 0 + 2/3*i = 0. Calculate i.
0, 1
Let h(u) = -u - 8. Let o be h(-6). Let q = 6 + o.