ivative of -1/8*n**4 - c*n**3 - 1/4*n**2 + 0 - 1/40*n**5 - 7*n. Factor z(o).
-(o + 1)**3/2
Suppose -8*d + 21 + 11 = 0. Let j(t) be the first derivative of 4/3*t**3 + 2*t + 1/4*t**d + 3 + 5/2*t**2. Determine x, given that j(x) = 0.
-2, -1
Let z(i) = i**4 + i**3 + 2. Let j(x) = 5*x**5 + 4*x**4 - 31*x**3 - 50*x**2 + 20*x + 28. Let r(n) = j(n) + 6*z(n). Let r(s) = 0. What is s?
-2, -1, 1, 2
Let u(d) = -24*d - 20. Let c(s) = -s**2 + 46*s + 40. Let t(z) = 4*c(z) + 7*u(z). Let t(r) = 0. Calculate r.
-1, 5
Factor -21 + 3/4*t**2 - 9/4*t.
3*(t - 7)*(t + 4)/4
Let a(t) be the first derivative of 10 - 10/9*t**3 + 1/2*t**4 - 4/3*t**2 + 8/3*t. Determine d, given that a(d) = 0.
-1, 2/3, 2
Let l = 1214/3 + -404. Factor -2*q + l*q**3 + 0*q**2 + 4/3.
2*(q - 1)**2*(q + 2)/3
Suppose 1/3*c**2 + 12 - 20/3*c = 0. Calculate c.
2, 18
Let v be ((-1)/(-3))/((-11)/66). Let r be 13/((-39)/(-18)) + v. Determine l, given that 2*l**5 - 155 - 2*l**r + 155 = 0.
0, 1
Let a(t) = 12*t + 14*t - 13*t + 6 + 2*t**2 - 4. Let u(x) = 3*x**2 + 12*x + 3. Let d(i) = -2*a(i) + 3*u(i). Determine c so that d(c) = 0.
-1
Let q(m) be the first derivative of 0*m - 4/3*m**3 + 4*m**2 + 5. Factor q(v).
-4*v*(v - 2)
Let b(x) be the third derivative of x**6/540 - x**4/27 + 383*x**2. Factor b(q).
2*q*(q - 2)*(q + 2)/9
Suppose 7*m = -3 + 24. Let o be 2*(-2)/(-2)*m/12. Factor -1/4*h**3 - 1/4*h**4 + o*h**2 + 0*h + 0.
-h**2*(h - 1)*(h + 2)/4
Let u(i) be the third derivative of 0*i + 15/8*i**4 + 24*i**2 - 2/5*i**5 - 3/40*i**6 - 2*i**3 + 0. Determine v, given that u(v) = 0.
-4, 1/3, 1
Let d(v) be the second derivative of -5*v**7/84 - v**6/12 + 9*v**5/8 - 55*v**4/24 + 5*v**3/3 - 42*v. Factor d(r).
-5*r*(r - 1)**3*(r + 4)/2
Suppose -25 = -5*r + 2*m - 16, -2*r = m - 9. Factor -4/7*p**r + 4/7*p - 8/7 + 8/7*p**2.
-4*(p - 2)*(p - 1)*(p + 1)/7
Let m = -31239/4 + 7810. Solve 0*v**4 - m*v**5 + 0*v**3 + 0*v**2 + 0*v + 0 = 0.
0
Let f(y) be the second derivative of -3*y**5/130 - 7*y**4/78 - 2*y**3/39 + 68*y. Find c, given that f(c) = 0.
-2, -1/3, 0
Let n(s) be the third derivative of -s**6/30 - 19*s**5/15 + 41*s**4/6 - 14*s**3 + 352*s**2. Suppose n(y) = 0. What is y?
-21, 1
Let h be 1/(1/(5 - 6)). Let w(l) = l**3 + l**2 + l + 1. Let t(f) = 2*f**3 + 2. Let v(b) = h*t(b) + 3*w(b). Find i such that v(i) = 0.
-1
Let n be -1*3/(-1) - -1. Let 5*v**2 - 8*v + 3*v**2 + 196 + 64*v - n*v**2 = 0. What is v?
-7
Let z be (((-1)/(-1))/(-5 - -1) + 1)*1. Let x = 7/27 + 25/216. Factor 3/8*w**3 + z*w**2 + 0 + x*w.
3*w*(w + 1)**2/8
Let g be (3/(-12) - 22/(-40))*86. Let a = g + -1151/45. Factor 0*z + a*z**2 - 2/9.
2*(z - 1)*(z + 1)/9
Let q(o) be the first derivative of 5*o**6/6 - 3*o**5 - 5*o**4/2 + 20*o**3 - 20*o**2 + 85. Find i, given that q(i) = 0.
-2, 0, 1, 2
Let x(n) = n**3 + 6*n**2 + 10*n + 8. Let d be x(-3). Let s(y) = y**2 - y + 1. Let u(q) = 20*q**2 - 15*q - 10. Let b(v) = d*s(v) + u(v). Solve b(m) = 0.
-1/5, 1
Let k be 805/1150*24/14. Find a, given that 3/5*a**3 + 6/5 - 3/5*a - k*a**2 = 0.
-1, 1, 2
Factor -2/5*m + 2/5*m**3 + 0 + 2/5*m**4 - 2/5*m**2.
2*m*(m - 1)*(m + 1)**2/5
Factor -105*z + 3*z**5 + 63*z - 9*z**3 + 89*z**2 - 21*z**4 + 0*z**5 - 20*z**2.
3*z*(z - 7)*(z - 1)**2*(z + 2)
Let v(b) be the second derivative of b**7/14 - 2*b**6/5 + 3*b**5/5 + 47*b. Factor v(h).
3*h**3*(h - 2)**2
Let i(k) = -k**2 - 22*k + 17. Let w(n) = -4*n**2 - 43*n + 32. Let v(o) = -5*i(o) + 2*w(o). Factor v(p).
-3*(p - 7)*(p - 1)
Let f(j) be the second derivative of j**4/9 + 8*j**3/9 - 8*j**2 - 318*j. Factor f(r).
4*(r - 2)*(r + 6)/3
Let l(r) be the third derivative of r**5/15 - r**4/3 - 10*r**3 - 4*r**2 - 15. Factor l(f).
4*(f - 5)*(f + 3)
Let j(k) = k + 1. Let m(s) = 405*s**2 - 96*s - 1. Let c(o) = -2*o**2 - o. Let w be c(-1). Let l(d) = w*m(d) - 6*j(d). Find g such that l(g) = 0.
1/9
Let z(w) be the first derivative of 2*w**3/39 - 4*w**2/13 + 6*w/13 + 130. Factor z(r).
2*(r - 3)*(r - 1)/13
Determine l so that -74/3*l**2 + 92/3*l - 8 + 17/3*l**3 = 0.
6/17, 2
Let x(l) = 11*l**2 - 8*l - 1. Let w(y) = -5*y**2 + 4*y + 1. Let m(v) = 10*v**2 - 8*v - 2. Let i(t) = 4*m(t) + 9*w(t). Let f(h) = -9*i(h) - 4*x(h). Factor f(z).
(z - 5)*(z + 1)
Let l(n) be the third derivative of -5/36*n**4 - 10*n**2 + 0*n + 0 + 2/45*n**5 + 4/27*n**3 + 1/135*n**6. Factor l(y).
2*(y + 4)*(2*y - 1)**2/9
Let c = -904881/19010 - -1/3802. Let l = c + 48. Factor l*k**3 + 0 + 0*k + 2/5*k**4 + 0*k**2.
2*k**3*(k + 1)/5
Determine u, given that -1/3 - 1/3*u**3 - 2/3*u**4 + u**2 + 1/3*u = 0.
-1, 1/2, 1
Let k(x) = -x**3 - x**2 + 4*x - 6. Let j be k(-3). Let q(c) be the first derivative of 0*c**4 - 1 + 5/18*c**6 + j*c**2 + 0*c + 0*c**3 - 2/15*c**5. Factor q(v).
v**4*(5*v - 2)/3
Let j(o) = o**3 - 22*o**2 + 29*o - 631. Let a be j(22). Factor -3/2*y**5 - 1/2 + 3*y**2 + 1/2*y + 11/2*y**4 - a*y**3.
-(y - 1)**4*(3*y + 1)/2
Let j = -87 - -90. What is o in 16*o**2 + 8*o**5 + 0*o**j + 2 + 4*o**3 - 30*o + 16*o - 18*o**4 + 2*o = 0?
-1, 1/4, 1
Let n(v) be the third derivative of v**7/560 - v**6/40 + 17*v**5/160 - 5*v**4/32 + 13*v**2 - 6*v. Find d such that n(d) = 0.
0, 1, 2, 5
Let f = -257279/240 - -1072. Let c(y) be the third derivative of -1/420*y**7 + 0*y + 3*y**2 + 0*y**3 + 0*y**5 + 0 + 0*y**4 + f*y**6. Factor c(k).
-k**3*(k - 1)/2
Let x(j) = 4*j**2 + 2*j - 2. Suppose 0 = 2*n - 8, 0*n = 2*r - n - 18. Let q(u) = -4 + r*u**2 - 2*u**2 - 1 + 4*u - u**2. Let v(m) = 2*q(m) - 5*x(m). Factor v(i).
-2*i*(2*i + 1)
Let f = -103/60 - -61/20. Let c(g) be the first derivative of -2 - 2/5*g**5 + g**2 - g**4 - 2*g + 1/3*g**6 + f*g**3. Find w such that c(w) = 0.
-1, 1
Let f(s) = -3*s**3 - 4*s**2 - s + 6. Let l(p) = 10*p**3 + 12*p**2 + 3*p - 18. Let g(c) = 7*f(c) + 2*l(c). Find a, given that g(a) = 0.
-3, -2, 1
Determine t so that 44*t - 14*t**2 - 2*t**5 + 16*t**4 - 10*t**3 - 32*t - 2*t**4 = 0.
-1, 0, 1, 6
Factor -16/3*m**4 + 56/3*m + 50/3*m**3 - 76/3*m**2 - 16/3 + 2/3*m**5.
2*(m - 2)**3*(m - 1)**2/3
Let s(h) be the second derivative of -h**5/80 + 7*h**4/16 + h**3/6 - 21*h**2/2 + 49*h - 5. Factor s(t).
-(t - 21)*(t - 2)*(t + 2)/4
Suppose -5*k + 8 = -s, 4*s + 3*k - 2*k - 10 = 0. Let d(r) be the first derivative of 6 + 0*r**s + 1/12*r**6 + 0*r**4 + 0*r**3 + 0*r - 1/10*r**5. Factor d(l).
l**4*(l - 1)/2
Solve -27/4*z**2 + 3/2*z**3 - 3*z**5 + 27/4*z**4 + 3/2*z + 0 = 0 for z.
-1, 0, 1/4, 1, 2
Suppose -3*b = -4*j + 2, 4*b + b = -4*j + 18. Determine q so that -5*q + 4*q**3 - q**3 + b*q = 0.
-1, 0, 1
Let q(f) be the third derivative of f**5/20 - 27*f**4/2 + 1458*f**3 + 287*f**2. Factor q(y).
3*(y - 54)**2
Suppose 5*s - 25 = -0*s. Suppose 3*d + 2*p = s*p + 12, 0 = 2*d - 5*p - 14. Factor 3*i + 0*i**d + 3*i**3 - 3*i**2 - 3*i**2.
3*i*(i - 1)**2
Let v be -9*(0 - (-2)/(-12)). Let c(y) = -y**2 + 47*y + 152. Let s be c(50). Factor v*a - 1 - 1/2*a**s.
-(a - 2)*(a - 1)/2
Let m(j) be the first derivative of -4*j**3/3 + 26*j**2 - 88*j + 60. Let m(a) = 0. What is a?
2, 11
Let v(f) be the third derivative of f**8/2856 - 52*f**7/595 + 2963*f**6/510 + 2054*f**5/85 + 6241*f**4/204 - 969*f**2. Suppose v(l) = 0. Calculate l.
-1, 0, 79
Let z = -11618/7 - -1660. Let z*q + 4/7 - 2/7*q**2 = 0. What is q?
-1, 2
Let a be (26/(-91))/((-2)/14). Let q(y) be the third derivative of -1/60*y**5 + 0 + 0*y + 0*y**4 + 0*y**3 - 2*y**a. Factor q(g).
-g**2
Suppose -4*n = 36*w - 41*w - 2, -2*n = -3*w. Determine o so that -3/8*o**w - 1/4*o - 1/8*o**3 + 0 = 0.
-2, -1, 0
Let -8*s**4 + 285*s - 96 - 252*s**3 + 41*s**5 + 8*s**5 + 19*s + 184*s**2 - 21*s**5 = 0. What is s?
-3, -1, 2/7, 2
Let s(m) be the third derivative of m**6/24 + m**5/12 + m**4/3 - 11*m**2. Let b(a) = -a**3 - a**2 - a. Let y(q) = 6*b(q) + s(q). What is u in y(u) = 0?
-2, 0, 1
Suppose 2*h - 23 = -5*b, 2*h = -2*b + 2 + 12. Suppose 0 = -b*d + 9 - 3. Factor 2/7*j + 0 + 2/7*j**d.
2*j*(j + 1)/7
Let l be (4 + 255/(-115))/(-7 - -2). Let a = l + 22/23. Factor -3*z**3 - 21/5*z**2 - a*z**4 - 9/5*z + 0.
-3*z*(z + 1)**2*(z + 3)/5
Let s = 6405 + -6402. Factor -2*h + 6/5 - 2/15*h**s + 14/15*h**2.
-2*(h - 3)**2*(h - 1)/15
Let q be 10/3*(-24)/(-16). Suppose 0 = 5*b - 25 + q. Suppose 8*w - w + 2*w**b + 10*w**3 + w + 16*w**2 + 0*w**4 = 0. What is w?
-2, -1, 0
Let y(l) be the first derivative of 0*l**2 - 10*l**2 - 3*l**3 + l**2 + 22 + 15*l + 4*l**3. What is v in y(v) = 0?
1, 5
Let i = 412136/90167 + 8/12881. Determine v, 