hird derivative of 5*s**7/14 + 19*s**6/6 - 7*s**5/12 - 40*s**4/3 - 50*s**3/3 + 237*s**2. Determine p, given that y(p) = 0.
-5, -2/3, -2/5, 1
Suppose -19*y + 8 + 4 + 26 = 0. Factor 10 + 15/2*t**y + 5/4*t**3 + 15*t.
5*(t + 2)**3/4
Let q(h) be the third derivative of -3*h**6/40 - 19*h**5/30 - 35*h**4/24 - h**3 - 4*h**2 + 14. Factor q(m).
-(m + 1)*(m + 3)*(9*m + 2)
Factor 1/3*p**3 + 2/3*p - 5/3*p**2 + 8/3.
(p - 4)*(p - 2)*(p + 1)/3
Let u(j) = 4*j**3 - j**2. Let z be u(1). Let t be 2 - 1 - (0 - 3)/z. Determine l, given that -t*l**2 - 16/3*l**3 + 4/3*l + 0 - 2*l**4 = 0.
-2, -1, 0, 1/3
Let z be 85/50 - (-23)/(-115). Factor 0 + 3/4*c**2 - z*c.
3*c*(c - 2)/4
Find o such that -3/2*o**3 - 5/4 + 1/4*o**4 + 3/2*o + o**2 = 0.
-1, 1, 5
Find n, given that -22*n + 79*n**2 - 8*n + 9*n - 3*n**3 - 94*n**2 - 9 = 0.
-3, -1
Suppose -4*f = 2*k - 0*k + 10, -14 = 5*f + k. Let s be 2/f*(-4 + -1 - -2). Solve -1/4*t - 1/2*t**s + 1/4*t**5 + 0 + 0*t**3 + 1/2*t**4 = 0 for t.
-1, 0, 1
Let b(u) be the second derivative of -2*u**6/15 + 2*u**5/5 + u**4 - 51*u + 2. Factor b(d).
-4*d**2*(d - 3)*(d + 1)
Let l = 5799/4 - 1449. Let t(j) be the second derivative of j**3 - l*j**4 + 2/5*j**6 - 3/5*j**5 + 3/2*j**2 - 2*j + 0. Factor t(z).
3*(z - 1)**2*(2*z + 1)**2
Let o(l) be the second derivative of l**6/10 - 11*l**5/20 - 19*l**4/12 - 5*l**3/6 + 42*l + 1. Factor o(u).
u*(u - 5)*(u + 1)*(3*u + 1)
Let x(r) be the first derivative of 2/27*r**3 - 3 + 4/9*r**2 + 2/3*r. Factor x(a).
2*(a + 1)*(a + 3)/9
Find u, given that 33*u**4 - 102*u**2 - 75/2*u - 3/2*u**5 + 39*u**3 + 69 = 0.
-2, -1, 1, 23
Let c(d) = -11*d**4 - 28*d**3 + 24*d**2 + 5*d - 5. Let p(f) = 13*f**4 + 30*f**3 - 25*f**2 - 6*f + 6. Let v(z) = 6*c(z) + 5*p(z). Factor v(l).
-l**2*(l - 1)*(l + 19)
Let m be 3 - 0 - 3 - -4. Let s(o) = o**3 + o**2 + o. Let p(f) = -9*f**3 + 6*f**2 - 10*f - 2. Let c(z) = m*p(z) + 20*s(z). Factor c(a).
-4*(a - 2)*(a - 1)*(4*a + 1)
Let g(v) be the first derivative of -11*v**3/6 + 5*v**2/4 + 3*v + 104. Factor g(k).
-(k - 1)*(11*k + 6)/2
Solve -38/3*s**2 - 104/3*s**3 - 4/3*s - 88/3*s**4 + 0 = 0.
-1/2, -2/11, 0
Suppose 48*r - 1 + 1 = 0. Let y(n) be the first derivative of -2/3*n**2 + r*n - 17/12*n**4 - 20/9*n**3 - 4/15*n**5 + 5. Factor y(w).
-w*(w + 2)**2*(4*w + 1)/3
Suppose 4*c - 4 = 3*y, 2*y - 4*y + 1 = c. Suppose 0 = u - c - 36. Suppose -u + 19 - 6*b**3 + 18 + 3*b**2 = 0. What is b?
0, 1/2
Suppose -2*i + 2*f = -0*f + 8, 4*i - 2*f = -12. Let a be (-9)/i*(-2)/(-18). Suppose 0 - 6*c**3 + c + 2*c**5 + 5/2*c**2 + a*c**4 = 0. What is c?
-2, -1/4, 0, 1
Let k(q) = -3*q**4 + 6*q**3 + 3*q**2 - 4*q - 2. Let z(l) = -l**4 + 2*l**3 - l**2 + l - 1. Let c(u) = k(u) - 2*z(u). Let c(a) = 0. What is a?
-2, 0, 1, 3
Let k(b) = -3*b**2 - 2*b + 1. Let x(z) = 63*z**2 + 147*z + 48. Let m(s) = 12*k(s) + x(s). Factor m(g).
3*(g + 4)*(9*g + 5)
Let l(u) be the third derivative of u**8/1680 - u**6/300 + u**4/120 + 21*u**2. Suppose l(b) = 0. What is b?
-1, 0, 1
Let t(p) be the first derivative of 1/14*p**4 - 1/7*p**2 - 2/7*p**3 + 6/7*p - 8. Determine x, given that t(x) = 0.
-1, 1, 3
Let 79*a - 11*a**2 - 15*a**3 - 321*a - 17*a**3 - 140*a**2 - 25*a**2 = 0. Calculate a.
-11/4, 0
Let h(x) be the first derivative of 5/33*x**6 + 0*x**2 - 1/11*x**4 + 6/55*x**5 + 3 + 0*x**3 + 0*x. Determine k so that h(k) = 0.
-1, 0, 2/5
Let h(s) be the first derivative of 2*s**3/3 + 49*s**2 + 188*s - 105. Factor h(p).
2*(p + 2)*(p + 47)
Let i be 456019/1995 - 4/(-14). Let h = 229 - i. Factor -2/15*v**3 + h*v + 0 + 0*v**2.
-2*v*(v - 1)*(v + 1)/15
Let z(g) be the second derivative of -1/2*g**4 - 4/3*g**3 + 1/2*g**5 + 0 + 0*g**2 + 1/5*g**6 - 1/21*g**7 + 9*g. Suppose z(d) = 0. Calculate d.
-1, 0, 1, 4
Suppose -3*m + 8 = -3*p - 28, -2*p + 18 = 4*m. Let y be ((-156)/182)/((-2)/m). Let 4/17*n**2 + 0 - 2/17*n**y - 2/17*n = 0. Calculate n.
0, 1
Factor -c**4 - 68*c**2 - 27 + 126*c - 21 - 43*c**2 + 36*c**3 + c**4 - 3*c**4.
-3*(c - 8)*(c - 2)*(c - 1)**2
Let h(f) be the third derivative of f**7/6300 - f**6/450 + f**5/75 + f**4/2 - 8*f**2. Let k(g) be the second derivative of h(g). Find p, given that k(p) = 0.
2
Let m(l) be the third derivative of -l**4/24 - l**3/6 + 5*l**2. Let d(s) = -4*s**3 + s**2 - 8*s - 8. Let c(g) = 5*d(g) - 40*m(g). Factor c(q).
-5*q**2*(4*q - 1)
Let m(b) be the first derivative of 0*b + 6/5*b**5 + 11 + 0*b**2 - 5/4*b**4 - 1/6*b**6 + 0*b**3. Factor m(l).
-l**3*(l - 5)*(l - 1)
Let c = -8119/2 + 4064. Let m be -2 + 31/4 + 1. Factor -m*n**3 + 3*n + 2 - c*n**2.
-(3*n - 2)*(3*n + 2)**2/4
Let p(o) = -13*o - 542. Let x be p(-42). Factor -2/15 + 4/3*s**3 - 2/3*s**x + 2/15*s**5 + 2/3*s - 4/3*s**2.
2*(s - 1)**5/15
Let r = 0 + 3. Let w = -775 - -2327/3. Suppose -2/3*f - w*f**2 - 2/9*f**r - 2/9 = 0. Calculate f.
-1
Let p(z) = -3*z**2 - 20*z + 5. Let u be p(-7). Let q be u*(-3)/(-6)*-4. Determine g so that 0 - 1/2*g**3 + 1/2*g + 1/2*g**q - 1/2*g**2 = 0.
-1, 0, 1
Suppose 2*u - 3*c = -185, 0 = u - 2*u + c - 95. Let h be 60/56 - (u/(-28) + -3). Let 0*r - 1/4*r**2 - 1/4*r**4 + h*r**3 + 0 = 0. What is r?
0, 1
Let v be -3*9/36*-4. Let c(s) be the first derivative of -3*s**v - 3/2*s**2 + 0*s - 9/4*s**4 + 7 - 3/5*s**5. Factor c(b).
-3*b*(b + 1)**3
Let l be 4/(-3) - -26*(14 + (-1328)/96). Factor 5/3*g**2 + 0 - 25/6*g - 1/6*g**l.
-g*(g - 5)**2/6
Let t(v) be the second derivative of -v**8/2016 + v**7/1260 + 15*v**2/2 - 20*v. Let b(n) be the first derivative of t(n). Factor b(y).
-y**4*(y - 1)/6
Factor -681 - 20*m + m**2 - 21*m**2 + 681 - 5*m**3.
-5*m*(m + 2)**2
Suppose -6*l**2 + 8/13*l**4 + 54/13*l**3 + 0 + 16/13*l = 0. Calculate l.
-8, 0, 1/4, 1
Let y(d) be the second derivative of -d**6/180 + d**5/40 - d**3/9 + 59*d - 1. Let y(f) = 0. Calculate f.
-1, 0, 2
Let n(p) = p**3 + p. Let c(s) = 7*s**3 - 7*s**2 + 16*s. Let w(a) = 5*c(a) - 40*n(a). What is j in w(j) = 0?
-8, 0, 1
Let c(d) be the first derivative of d**4/4 + 4*d**3/3 + 5*d**2/2 + 2*d - 41. Let c(s) = 0. Calculate s.
-2, -1
Let p be (-77)/(-14)*8/11. Let m(s) be the second derivative of 1/18*s**p + 0 + 0*s**2 + 1/9*s**3 - 6*s. Find b such that m(b) = 0.
-1, 0
Let o(p) be the second derivative of -1/90*p**5 - 5*p - 2/27*p**3 + 0 + 0*p**2 + 1/18*p**4. Factor o(c).
-2*c*(c - 2)*(c - 1)/9
Let -604/3*z + 152/3*z**2 - 16/3 = 0. Calculate z.
-1/38, 4
Factor 110/3 + 112/3*x + 2/3*x**2.
2*(x + 1)*(x + 55)/3
Suppose -i - 3*i + 3*s + 33 = 0, 5*i - s - 55 = 0. Find v such that i*v**2 - 4*v - 6*v + 9*v + 10*v - 3 = 0.
-1, 1/4
Let n(x) be the third derivative of x**6/60 - x**5/6 - 7*x**4/6 - 177*x**2. Find r such that n(r) = 0.
-2, 0, 7
Factor 26/7*t**5 - 4/7*t**4 + 0*t**2 + 0 + 0*t + 0*t**3.
2*t**4*(13*t - 2)/7
Let o = 58 - 0. Suppose 20*z - o = -18. Suppose 8/15*m**z - 2/5*m**3 - 4/15 + 2/15*m = 0. What is m?
-2/3, 1
Let w = 2894 - 2892. Let -2/3*k**4 - 2/3*k**3 + 0*k - 2/9*k**w + 0 - 2/9*k**5 = 0. Calculate k.
-1, 0
Let j be 375/20*(-3 + 1). Let p = j - -381/10. Solve -p*u + 0 + 0*u**2 + 3/5*u**3 = 0.
-1, 0, 1
Let z(y) be the first derivative of -2*y**3/9 + 5*y**2/3 + 4*y - 52. Factor z(a).
-2*(a - 6)*(a + 1)/3
Let l be 4 + (0 - -1) + -1. Suppose -92 = -97*k + 102. Determine p so that 3/5 + 12/5*p**3 + 12/5*p + 3/5*p**l + 18/5*p**k = 0.
-1
Let w(a) be the first derivative of -a**6/60 + a**5/15 - a**4/12 - 2*a**2 - 13. Let o(v) be the second derivative of w(v). Factor o(m).
-2*m*(m - 1)**2
Let u = 968 + -4831/5. What is c in -9/5*c**3 - 9/5*c**2 - u*c**5 + 0 + 6/5*c + 21/5*c**4 = 0?
-2/3, 0, 1
Suppose 5*f - 3*y + 8*y = 70, 4*y + 4 = 0. Suppose -f*j = j - 32. Solve -6/5*x**j - 4/5*x + 2*x**3 + 0 = 0.
-2/5, 0, 1
Let t be (-136)/32*(-12)/3. Let x be 2*t/(-14) + 3. Factor 1/7*f**3 + 0 + 4/7*f**2 + x*f.
f*(f + 2)**2/7
Let j(g) be the first derivative of -g**5/12 + 10*g**3/3 + 5*g**2 + 2*g + 26. Let q(x) be the second derivative of j(x). Suppose q(d) = 0. What is d?
-2, 2
Let w be ((-40)/28 + -5 + 3)*7. Let c be w/(-85) + 16/136. Determine h, given that 0 - c*h**2 - 2/5*h = 0.
-1, 0
Let a(b) be the third derivative of -b**7/1470 - b**6/105 - 11*b**5/210 - b**4/7 - 3*b**3/14 - 9*b**2 - 4. Determine o, given that a(o) = 0.
-3, -1
Factor -16/7*z + 0 + 4/7*z**3 + 0*z**2.
4*z*(z - 2)*(z + 2)/7
Let p be (-28)/(-105)*6 + (-6)/120*-8. What is c in -60 - 5/3*c**p + 20*c = 0?
6
Let d be (2/(-4))/(13/156). Let g = d - -8. Factor 2*v - 5*v - 3*