ivative of -1/6*w**5 + 5 - 3*w**2 + 5/8*w**4 + 0*w**3 + 0*w - 1/24*w**6. Factor u(h).
-5*h*(h - 1)*(h + 3)
Determine r, given that -20*r - 52*r**2 + 116*r**4 - 267*r**3 + 104*r**2 - 17*r**5 + 84*r**2 + 52*r**5 = 0.
-5, 0, 2/7, 2/5, 1
Let k = -91214/4485 - -468/23. Let n(b) be the third derivative of 0*b + 1/780*b**6 - 2/39*b**3 - k*b**5 - b**2 + 5/156*b**4 + 0. Find u such that n(u) = 0.
1, 2
Suppose 4/17 + 22/17*m**4 - 26/17*m**2 + 18/17*m - 18/17*m**3 = 0. Calculate m.
-1, -2/11, 1
Let p(a) = a**5 - a**4 - a**2 + 1. Let j(i) = -3*i**5 + 8*i**4 + 3*i**3 + 4*i**2 - 4. Let k(m) = -5*j(m) - 20*p(m). What is s in k(s) = 0?
-3, -1, 0
Suppose 37*o + 1 = 179 + 7. Determine y, given that 14/5*y + 14/15*y**2 - 8/15*y**o + 6/5 - 32/15*y**4 - 34/15*y**3 = 0.
-3/2, -1, 1
Let b(n) be the third derivative of n**8/6720 - n**7/840 + n**6/240 - n**5/120 - 11*n**4/12 + 19*n**2. Let o(u) be the second derivative of b(u). Factor o(m).
(m - 1)**3
Let d be 0/(((-12)/15)/(2/5)). Factor 0 - 2/7*a**5 + d*a**4 + 4/7*a**3 - 2/7*a + 0*a**2.
-2*a*(a - 1)**2*(a + 1)**2/7
Let l(y) be the second derivative of 0*y**5 + 5/6*y**3 + 1/360*y**6 + 0 + 10*y + 0*y**2 - 1/24*y**4. Let j(b) be the second derivative of l(b). Factor j(i).
(i - 1)*(i + 1)
Let a(j) be the third derivative of -1/280*j**6 - 1/1470*j**7 + 0*j**3 + 0*j + 0 - 11*j**2 - 1/168*j**4 - 1/140*j**5. Factor a(z).
-z*(z + 1)**3/7
Factor -108*d**2 + 46*d**2 - 3*d - 19 + 63*d**2 + 1.
(d - 6)*(d + 3)
Let y(r) be the second derivative of r**7/420 - r**6/90 - r**5/60 + r**4/6 + 13*r**3/6 - r. Let c(i) be the second derivative of y(i). Factor c(n).
2*(n - 2)*(n - 1)*(n + 1)
Let y(n) = -n**2 - 4*n - 7. Let s be y(-5). Let x be (-2)/(-3) - (12 + s). Factor x*b**4 + 2/3 - 8/3*b**3 - 8/3*b + 4*b**2.
2*(b - 1)**4/3
Suppose 0*w + 5*w = -3*k + 32, -4*w + 28 = 3*k. Let i(t) be the second derivative of w*t - 2/21*t**3 - 1/42*t**4 + 0*t**2 + 0. Factor i(u).
-2*u*(u + 2)/7
Let o(r) be the second derivative of 5*r**7/126 - 7*r**6/18 + 5*r**5/4 - 5*r**4/4 + 29*r - 1. Factor o(v).
5*v**2*(v - 3)**2*(v - 1)/3
Factor 2/7 + 10/7*j**2 + 12/7*j.
2*(j + 1)*(5*j + 1)/7
Let v be 5/21*54/45 - (0 + 0). Solve 1/7*n**2 + 0 + v*n = 0 for n.
-2, 0
Let i(d) be the second derivative of -d**4/36 - 7*d**3/18 + 3*d**2 - 30*d + 2. Factor i(v).
-(v - 2)*(v + 9)/3
Let z(a) be the second derivative of 5/72*a**4 + 9*a + 1/4*a**2 + 0 + 1/120*a**5 + 7/36*a**3. Find r, given that z(r) = 0.
-3, -1
Suppose 0 = 3*m - 2*h - 35, -3*h + 52 = 6*m - m. Suppose -19*v = -m*v. Solve 1/4*j**3 - 1/4*j**2 + v*j + 1/4*j**4 - 1/4*j**5 + 0 = 0.
-1, 0, 1
Let o = 14 - -18. Let n be o/55 + 12/(-66). Factor -n*r**2 + 1/5*r**4 + 2/5*r**3 - 1/5*r**5 - 1/5*r + 1/5.
-(r - 1)**3*(r + 1)**2/5
Let c be 0/(-5) - (5/(-40) - 1). Let u(o) be the first derivative of 1/2*o + 3 + c*o**2 + 7/12*o**3. Let u(n) = 0. Calculate n.
-1, -2/7
Let x(t) be the first derivative of -t**4/30 - 2*t**3/45 + t**2/15 + 2*t/15 - 111. Factor x(h).
-2*(h - 1)*(h + 1)**2/15
Let n(r) be the first derivative of r**7/56 - r**6/40 - 3*r**5/80 + r**4/16 + 6*r + 9. Let k(c) be the first derivative of n(c). Solve k(y) = 0.
-1, 0, 1
Let g(b) be the second derivative of -b**4/48 + b**3/12 + 3*b**2/8 - 180*b. Suppose g(y) = 0. Calculate y.
-1, 3
Solve 106 + 99 + b**3 - 5*b - 15*b**2 + 4*b**3 - 190 = 0 for b.
-1, 1, 3
Let i(z) = -30*z**2 - 1270*z + 851. Let b(c) = -15*c**2 - 635*c + 426. Let d(f) = -9*b(f) + 4*i(f). Factor d(l).
5*(l + 43)*(3*l - 2)
Let o(y) be the second derivative of 0 - 32*y + 1/30*y**4 - 3/5*y**3 - 2*y**2. Factor o(v).
2*(v - 10)*(v + 1)/5
Let y = 3192 + -6381/2. Let -y - 3/4*z + 3/4*z**2 = 0. Calculate z.
-1, 2
Let l(i) = i**3 - 11*i**3 - 3 + 0 - 32*i**2 - 37*i + 10. Let j(a) = -5*a**3 - 16*a**2 - 19*a + 4. Let f(b) = 11*j(b) - 6*l(b). Factor f(h).
(h + 1)*(h + 2)*(5*h + 1)
Let f(p) be the first derivative of 7*p**6/4 - 141*p**5/10 + 63*p**4/8 + 59*p**3/2 - 21*p**2 - 18*p - 210. Determine k so that f(k) = 0.
-1, -2/7, 1, 6
Suppose -163 - 358 = 3*s + 4*o, -3*o = -s - 191. Let t = s + 181. Factor -10/7*i**t + 24/7*i - 8/7.
-2*(i - 2)*(5*i - 2)/7
Let q(k) = 6*k**2 - 14*k - 14 + 24 + 2*k - 22*k**2. Let c be -10 - (1/1 - 1). Let l(b) = -5*b**2 - 4*b + 3. Let r(y) = c*l(y) + 3*q(y). Factor r(w).
2*w*(w + 2)
Let f(c) = 14*c**2 - 2*c + 14. Let n(m) = -11*m**2 + 2*m - 12. Let x(q) = -5*f(q) - 6*n(q). Suppose x(r) = 0. Calculate r.
-1, 1/2
Let m be ((-18)/12)/((-1)/2). Factor 12*n + 6*n**2 + 4 - 3 - 25 - 5*n**3 + 2*n**m.
-3*(n - 2)**2*(n + 2)
Let v be (0 - 3/12) + 39/156. Factor -8/7*s - 4/7*s**2 + v.
-4*s*(s + 2)/7
Let r(n) be the first derivative of n**4/4 - 3*n**2/2 - 3*n + 4. Let w(u) be the first derivative of r(u). Factor w(x).
3*(x - 1)*(x + 1)
Suppose -6*z = -5 - 13. Let 17*t**3 - 4*t**2 - t - 22*t**z + 6*t**2 + 4*t**3 = 0. Calculate t.
0, 1
Suppose -3*q + 121 = -5*y + 95, -4*q - 4*y = 8. What is v in -24*v - 108 - 4/3*v**q = 0?
-9
Let r(l) = 6*l**2 + 3*l + 0*l**2 + l**4 - 7*l**2 - l**3 - 5*l. Let s(x) = x**4 + 12*x**3 - 51*x**2 - 4*x. Let o(w) = 2*r(w) - s(w). Factor o(u).
u**2*(u - 7)**2
Let v(g) be the third derivative of g**6/90 - 19*g**5/45 + 8*g**4/9 + 8*g**3 + 57*g**2. Factor v(p).
4*(p - 18)*(p - 2)*(p + 1)/3
Let z(a) be the second derivative of a**4/84 - a**3/42 - a**2/7 - 77*a. Factor z(m).
(m - 2)*(m + 1)/7
Let o(i) be the third derivative of 0 + 3/8*i**4 + 3*i**2 + 0*i + 0*i**3 - 1/20*i**5. Factor o(d).
-3*d*(d - 3)
What is c in 3459/2*c**2 - 840*c + 945/2*c**3 + 243/8*c**4 + 96 = 0?
-8, 2/9
Let h(x) be the first derivative of x**6/140 - 3*x**5/70 - 9*x**4/28 + 27*x**3/7 - 23*x**2 + 26. Let n(f) be the second derivative of h(f). Factor n(l).
6*(l - 3)**2*(l + 3)/7
Let y(x) be the second derivative of -8*x - 1/8*x**4 + 0*x**2 - 3/80*x**5 - 1/8*x**3 + 0. Suppose y(n) = 0. What is n?
-1, 0
Suppose 0 = 4*y - 3*z - 51 + 12, -2*y + 15 = -3*z. Let j = -7 - -12. Suppose -3 - 6*s**3 - y*s**2 + 0*s + 5*s + 3*s + 4*s - 6*s**j + 15*s**4 = 0. Calculate s.
-1, 1/2, 1
Let j(n) be the second derivative of n**4/4 - 21*n**3/8 + 15*n**2/8 + 4*n - 6. Suppose j(b) = 0. Calculate b.
1/4, 5
Let u = 731/20 + -203/20. Factor 0 - 15*i**5 + 0*i - u*i**3 - 24/5*i**2 - 42*i**4.
-3*i**2*(i + 2)*(5*i + 2)**2/5
Let w(b) be the third derivative of b**6/480 + b**5/30 - 19*b**4/96 + 5*b**3/12 - 2*b**2 + 100. Factor w(c).
(c - 1)**2*(c + 10)/4
Find y, given that 0 + 69/4*y**2 + 0*y + 1/4*y**4 + 35/2*y**3 = 0.
-69, -1, 0
Suppose -r - j + 38 = 0, -4*r + 2*j = -j - 138. Suppose 35*u**5 - 4 - 162*u**2 + 155*u**3 + 4*u**3 + r*u + 43*u**2 + 22*u**3 - 129*u**4 = 0. Calculate u.
2/7, 2/5, 1
Let g(h) = 3*h**4 + 4*h**3 + 20*h**2 + 18*h - 2. Let t(d) = 7*d**4 + 6*d**3 + 40*d**2 + 37*d - 5. Let z(o) = -5*g(o) + 2*t(o). Factor z(m).
-m*(m + 2)**2*(m + 4)
Let j(b) be the third derivative of b**7/42 + 5*b**6/24 + b**5/2 + 12*b**2. Determine k, given that j(k) = 0.
-3, -2, 0
Let g(o) = -2*o**2 + 14*o - 9. Let f be g(6). Suppose -4*i = -5 + 17, 3*i + 15 = f*c. Factor -14/9*t**c - 4/9*t + 2/9 - 8/9*t**3.
-2*(t + 1)**2*(4*t - 1)/9
Let 483/5*x**2 + 1/5*x**4 - 529/5*x + 9*x**3 + 0 = 0. Calculate x.
-23, 0, 1
Suppose -90 = n - 93. Let z(j) be the second derivative of 0 - 2/3*j**3 + 4/9*j**4 + 1/5*j**5 - 8/45*j**6 + n*j + 0*j**2. Suppose z(c) = 0. Calculate c.
-1, 0, 3/4, 1
Let c(y) = -y**2 + 12*y + 50. Let j be c(15). Let h(q) be the second derivative of -1/6*q**4 - 2*q + 0*q**2 + q**j - 2/3*q**3 + 0. Factor h(a).
2*a*(2*a - 1)*(5*a + 2)
Let o(b) be the third derivative of b**6/60 - b**5/30 - 5*b**4/3 - b**2 + 64*b. Find v, given that o(v) = 0.
-4, 0, 5
Suppose -2/5*m**2 + 2/5*m**4 + 18/5*m**3 - 18/5*m + 0 = 0. What is m?
-9, -1, 0, 1
Find t such that 3/4*t**2 - 3/4*t**3 + 27/4*t - 27/4 = 0.
-3, 1, 3
Factor -2024*g**2 - 320/3*g**3 - 6724/3 + 13120/3*g - 4/3*g**4.
-4*(g - 1)**2*(g + 41)**2/3
Let a(k) = -28*k + 4. Let r be a(1). Let v be (r/16)/(2/(24/(-9))). Factor 0*z**3 + 2/5*z**4 + 0*z**v + 2/5*z**5 + 0*z + 0.
2*z**4*(z + 1)/5
Let x be (((-2)/20)/((-20)/(-250)))/((-1)/4). Factor -2/7 - 4/7*m**3 + 4/7*m**2 + 2/7*m - 2/7*m**4 + 2/7*m**x.
2*(m - 1)**3*(m + 1)**2/7
Let t be 0 + 8/(-2 + 6). Let r be ((-2)/16)/((-7)/(84/2)). Suppose r*x + 0 + 1/4*x**t = 0. Calculate x.
-3, 0
Factor -4/3*f**3 - 16/3 + 0*f + 4*f**2.
-4*(f - 2)**2*(f + 1)/3
Let 1452 + 66*g