culate p.
-1, 0, 2
Let g(z) be the first derivative of -4*z**3/3 + 32*z**2 - 60*z - 556. Solve g(k) = 0.
1, 15
Let s = 13 - 11. Suppose 2*t = 5*j - 20, -s*j + t + 7 = -1. Factor m**4 - 9*m**4 + 10*m - 8*m**3 - 2*m**5 - 8*m + 8*m + 4 + j*m**2.
-2*(m - 1)*(m + 1)**3*(m + 2)
Let b(c) be the third derivative of -1/108*c**4 - 1/270*c**5 + 16*c**2 + 2/27*c**3 + 0*c + 0. Factor b(j).
-2*(j - 1)*(j + 2)/9
Let p(n) be the second derivative of 3*n**5/40 + 3*n**4/8 - 3*n**2 + 44*n + 2. Solve p(f) = 0.
-2, 1
Let k be 0*5/(-25) - -2. Find p such that 5*p**k - 5 + 51 - 111 + 60*p = 0.
-13, 1
Let n(f) = 65*f**5 + 45*f**4 - 485*f**3 + 45*f. Let j(x) = -3*x**5 - 2*x**4 + 22*x**3 - 2*x. Let r(i) = 45*j(i) + 2*n(i). Let r(w) = 0. Calculate w.
-2, 0, 2
Let r(h) = 6*h**2 - 4*h + 2. Let w(c) = 5*c**2 - 3*c + 1. Let p(d) = 3*r(d) - 4*w(d). Suppose p(k) = 0. Calculate k.
-1, 1
Let k be 1 + 2 + (-25)/11. Let i(h) = h**3 - 41*h**2 + 37*h - 1514. Let l be i(41). Determine m, given that -6/11*m + 0 - 2/11*m**l - k*m**2 = 0.
-3, -1, 0
Let u(c) be the first derivative of -c**6/180 - c**5/270 + c**4/36 + c**3/27 - 10*c**2 - 14. Let s(b) be the second derivative of u(b). What is i in s(i) = 0?
-1, -1/3, 1
Let v(z) be the third derivative of -z**6/180 - z**5/90 + 5*z**4/36 - z**3/3 + 108*z**2. Factor v(o).
-2*(o - 1)**2*(o + 3)/3
Let x(i) = i**4 - i**3 + i + 1. Let j(s) = 4*s**4 - 2*s**3 - 4*s**2 - s + 3. Let q(t) = j(t) - 3*x(t). Factor q(w).
w*(w - 2)*(w + 1)*(w + 2)
Suppose 0 = 2*j + 166 - 172. Let z(l) be the first derivative of -16/15*l**j - 2*l**2 - 3 - 8/5*l - 1/5*l**4. Find t, given that z(t) = 0.
-2, -1
Let h(f) = -2*f**3 - 2*f**2 - 2*f - 2. Let w = 8 - 10. Let g be h(w). Factor -3*t**2 + 10*t - 2*t**2 + g - 5*t.
-5*(t - 2)*(t + 1)
Suppose 69 = 3*d + 24. Suppose -5*s = -a - d, -2*s + 5 = -a - 4. Let -2*g + g - g - s*g**2 - 4 - 4*g = 0. What is g?
-2, -1
Let f(d) = 25*d**3 - 35*d**2 + 35*d - 70. Let k(w) = 2*w**3 - 3*w**2 + w - 2. Let a(j) = f(j) - 15*k(j). Let a(v) = 0. What is v?
-2, 2
Let y(l) be the third derivative of -l**5/15 + 7*l**4/3 - 26*l**3/3 - 72*l**2. Solve y(s) = 0.
1, 13
Let m(u) = -3*u**3 - 23*u**2 + 20*u + 44. Let v(a) = -3*a**3 - 25*a**2 + 19*a + 46. Let r(s) = -5*m(s) + 4*v(s). Factor r(x).
3*(x - 2)*(x + 1)*(x + 6)
Let p(f) be the first derivative of -f**7/1260 + 5*f**3 + 4. Let m(o) be the third derivative of p(o). Solve m(q) = 0 for q.
0
Factor 0*a**2 + 0*a + 2/13*a**4 - 4/13*a**3 + 0.
2*a**3*(a - 2)/13
Let o(y) = -15*y**2 + 30*y. Let b(s) be the first derivative of -10*s**3/3 + 10*s**2 + 22. Let r(v) = 8*b(v) - 5*o(v). Solve r(x) = 0 for x.
0, 2
Factor -53*h - 4/3*h**2 + 40/3.
-(h + 40)*(4*h - 1)/3
Let a(p) be the third derivative of p**7/1995 + p**6/114 + 16*p**5/285 + 8*p**4/57 - 104*p**2. Factor a(g).
2*g*(g + 2)*(g + 4)**2/19
Let t(j) be the third derivative of -j**8/3840 + j**7/672 - j**6/320 - j**5/15 + 13*j**2. Let b(q) be the third derivative of t(q). Factor b(m).
-3*(m - 1)*(7*m - 3)/4
Let j = -101 + 103. Let -15*s**j - 4*s**3 - 6*s**3 + 2*s**3 + 15*s**4 + 3*s**3 + 10*s - 5*s**5 = 0. What is s?
-1, 0, 1, 2
Let l(s) be the third derivative of -s**5/210 - 193*s**4/42 - 37249*s**3/21 - 92*s**2. Factor l(q).
-2*(q + 193)**2/7
Let v(f) be the second derivative of 1/40*f**6 + 3*f**2 - 3/8*f**4 + 9*f + 1/2*f**3 + 0 - 3/80*f**5. Factor v(q).
3*(q - 2)**2*(q + 1)*(q + 2)/4
Suppose -n - 2*n = 0. Let t = 20051 - 20048. Factor n*h**2 - 2/9*h**t + 2/3*h + 4/9.
-2*(h - 2)*(h + 1)**2/9
Let k = -35 + 4. Let y = k - -31. Let 4/3*c**3 + 0*c**4 + y*c**2 - 2/3*c**5 + 0 - 2/3*c = 0. Calculate c.
-1, 0, 1
Let u(k) be the first derivative of 0*k - 3/28*k**4 - 4/7*k**3 - 9/14*k**2 + 38. Factor u(i).
-3*i*(i + 1)*(i + 3)/7
Let 243/5*h + 81/5 + 138/5*h**3 + 3/5*h**5 + 33/5*h**4 + 54*h**2 = 0. What is h?
-3, -1
Let i(a) be the third derivative of -a**6/24 - 7*a**5/12 - 5*a**4/2 - 150*a**2. Factor i(c).
-5*c*(c + 3)*(c + 4)
Let q(u) be the first derivative of u**5/4 - 5*u**4/4 + 5*u**3/3 - 5*u - 12. Let a(s) be the first derivative of q(s). Solve a(o) = 0.
0, 1, 2
Let o be (7 + -5)*(4/10)/2. Let w = o + -8/45. Factor w*r**2 - 2/9*r - 4/9.
2*(r - 2)*(r + 1)/9
Let z = 60 - 54. Let v(d) be the third derivative of 0*d - 1/108*d**z - 2/45*d**5 - 5*d**2 - 1/12*d**4 + 0 - 2/27*d**3. Factor v(c).
-2*(c + 1)**2*(5*c + 2)/9
Let z = 4370 + -4366. Suppose 15/2*a**2 - 123/2*a**z - 51/2*a**3 + 3*a + 0 - 63/2*a**5 = 0. What is a?
-1, -2/7, 0, 1/3
Factor 37*f + 5 + 12 + 3*f**3 + 24*f**2 - 8*f + 22*f + 13.
3*(f + 1)*(f + 2)*(f + 5)
Factor -2 + 60*u**3 - 51*u + 5 - 99*u**3 + 90*u**3 - 3*u**2.
3*(u - 1)*(u + 1)*(17*u - 1)
Let y be ((-124)/(-30) - 1) + 42/(-315). Factor 5*h**2 + y*h + 9*h - 5*h**2 - 3*h**2.
-3*h*(h - 4)
Factor -3611*j**5 - 5*j**3 + 3616*j**5 + 5*j**4 - 4*j**2 - j**2.
5*j**2*(j - 1)*(j + 1)**2
Let g = -19/31 - -347/465. Let o(m) be the first derivative of 0*m - 2/75*m**5 - 2/15*m**3 + 0*m**2 - g*m**4 - 7. Factor o(f).
-2*f**2*(f + 1)*(f + 3)/15
Let d(n) be the second derivative of 9*n**5/10 - 29*n**4/6 + 8*n**3 - 4*n**2 - 60*n. Factor d(i).
2*(i - 2)*(i - 1)*(9*i - 2)
Let v(x) = -2*x**3 - 3*x + 1. Let r(k) be the second derivative of 7*k - 1/2*k**3 + 0*k**2 - 1/20*k**5 + 0*k**4 + 0. Let q(o) = 3*r(o) - 2*v(o). Factor q(d).
(d - 2)*(d + 1)**2
Let c(z) = -z**3 - 13*z**2 - z - 11. Let o be c(-13). Suppose 5*r + 2*v = -2 + 28, -o = v. Factor -3*k**5 + 6*k**2 - 3*k**4 + r*k**3 + 3*k**4 + 3*k**3.
-3*k**2*(k - 2)*(k + 1)**2
Let o(u) be the first derivative of 5*u**3/3 + 295*u**2 + 17405*u + 204. Factor o(r).
5*(r + 59)**2
Let q = -5 - -8. Suppose -q*g + 6*v = 2*v, -3*g = -5*v + 3. Factor 0*u**2 - 3*u**g - 3*u**2 + 2*u**4 - 9*u**3 + 6*u**3 - u.
-u*(u + 1)**3
Suppose 0 = 4*a - 4 - 4. Suppose -2*z = 3*k - 16, -a*k + k = -4*z + 18. Factor -2/3*f - 2/9*f**k - 4/9.
-2*(f + 1)*(f + 2)/9
Let h be 31/2604 - 0/1. Let f(k) be the third derivative of h*k**6 - 2*k**2 + 0*k + 17/210*k**5 + 4/21*k**4 + 4/21*k**3 + 0. Find q, given that f(q) = 0.
-2, -1, -2/5
Let b(n) be the second derivative of -4/13*n**2 + 0*n**3 - 12*n + 1/78*n**4 + 0. Find c, given that b(c) = 0.
-2, 2
Let s = -237 - -1423/6. Let y(l) be the first derivative of 0*l**3 + 0*l + s*l**2 + 0*l**5 + 1/18*l**6 - 1/6*l**4 + 2. Factor y(z).
z*(z - 1)**2*(z + 1)**2/3
Let q(r) be the third derivative of -r**5/210 - 3*r**4/28 + 12*r**2 - 3*r. Solve q(s) = 0 for s.
-9, 0
Let z(g) be the second derivative of -g**7/273 - 3*g**6/65 - 3*g**5/13 - 23*g**4/39 - 11*g**3/13 - 9*g**2/13 - 2*g - 75. Factor z(b).
-2*(b + 1)**3*(b + 3)**2/13
Let p(d) = 40*d**3 - 124*d**2 + 128*d - 36. Let i(n) = 13*n**3 - 41*n**2 + 43*n - 12. Let f(l) = -8*i(l) + 3*p(l). Suppose f(s) = 0. Calculate s.
3/4, 1
Let k be (9/(7 - -74))/(1 - (-5)/(-10)). Determine z, given that 0 + 2/9*z**2 + k*z = 0.
-1, 0
Let r = -11 - -24. Suppose o + r*o**2 - 6*o**2 - 3*o - 6*o**2 = 0. Calculate o.
0, 2
Suppose 3*o = 13*o - o. Let f(v) be the third derivative of 2*v**2 + 0*v + 1/12*v**4 + o*v**3 + 1/30*v**5 + 0. Factor f(p).
2*p*(p + 1)
Let k(v) = v**2 - 8*v - 35. Let u be k(13). Let h be 2/(-6)*u/(-20). Factor 0*p + h*p**2 - 1/2.
(p - 1)*(p + 1)/2
Let o be (-12)/(-54) + (-158)/(-18). Suppose -4*f = -o*f + 5. Determine b, given that -12*b**2 + f + 0 - 3*b + 3 + 6*b**4 - 3*b**5 + 2 + 6*b**3 = 0.
-1, 1, 2
Suppose 0 = 9*h - 6*h - 24. Suppose 44 - 20 = h*f. Determine k so that 5/7*k**2 - k**f + 2/7*k + 0 = 0.
-2/7, 0, 1
Factor 6241/5 + 158/5*r + 1/5*r**2.
(r + 79)**2/5
Factor 6/5*a**2 + 3/5*a**4 - 18/5*a**3 - 9/5 + 3*a + 3/5*a**5.
3*(a - 1)**3*(a + 1)*(a + 3)/5
Let g be 0/((-6 - -5) + 0). Let i(t) be the third derivative of 1/180*t**6 + 7/180*t**5 + t**2 - 2/9*t**3 + g*t + 1/18*t**4 + 0. Factor i(l).
(l + 2)**2*(2*l - 1)/3
Let s(o) = o**2 - 14*o - 6. Let g be s(8). Let q be 3/(g/12)*-4. Determine a, given that -q*a**4 - 14/3*a - 26/3*a**3 - 2/3 - 10*a**2 = 0.
-1, -1/4
Let j(h) = h - 1. Let u = -5 + -13. Let s(q) = q**2 - 17*q + 25. Let p(z) = u*j(z) - 2*s(z). Determine o so that p(o) = 0.
4
Let x be ((-10)/3)/((-4)/(-6)*99/(-132)). What is p in -4/3*p**4 + 8/3*p - x*p**2 + 16/3*p**3 + 0 = 0?
0, 1, 2
Let d(n) be the second derivative of n**7/231 + 9*n**6/55 + 84*n**5/55 - 98*n**4/33 - 24*n + 6. Factor d(v).
2*v**2*(v - 1)*(v + 14)**2/11
Let t(v) be the third derivative of v**8/8