-1, 1/3, 1
Let z(d) be the third derivative of 0*d + 0 + 1/10*d**5 + 5*d**3 - 183*d**2 - 9/8*d**4. Factor z(i).
3*(i - 2)*(2*i - 5)
Let d(v) be the third derivative of 0*v**6 + 0*v**3 - 6 + 4/735*v**7 - 2/105*v**5 - 2*v**2 + 1/588*v**8 - 1/42*v**4 + 0*v. Let d(j) = 0. Calculate j.
-1, 0, 1
Let t = 292320 + -2046235/7. Factor 4/7 + 1/7*n**2 + t*n.
(n + 1)*(n + 4)/7
Let x(l) = 11551*l + 12273. Let j be x(-1). Factor j - 38*f + 1/2*f**2.
(f - 38)**2/2
Let a(y) be the first derivative of 1/75*y**5 + 0*y**2 + 0*y - 1/60*y**4 + 7/3*y**3 + 1/180*y**6 - 14. Let n(c) be the third derivative of a(c). Factor n(q).
2*(q + 1)*(5*q - 1)/5
Let c(i) = 2*i**2 - 18*i - 176. Let x(j) = 3*j**2 - 11*j - 175. Let f(g) = 5*c(g) - 4*x(g). Determine q, given that f(q) = 0.
-18, -5
Let x = 157919 + -789571/5. Suppose -6/5*y**4 - 12/5*y + x*y**2 + 0 - 9/5*y**3 + 3/5*y**5 = 0. What is y?
-2, 0, 1, 2
Let z(d) = 6*d**2 - 17*d + 26. Let o be z(5). Let h be -14*3/60*(-52)/o. Factor 0 + h*k + 1/5*k**5 + 9/5*k**3 - k**4 - 7/5*k**2.
k*(k - 2)*(k - 1)**3/5
Let k(t) = 8*t**3 - 386*t**2 + 740*t - 10. Let p(y) = -9*y**3 + 387*y**2 - 738*y + 12. Let o(d) = 6*k(d) + 5*p(d). Factor o(r).
3*r*(r - 125)*(r - 2)
Let o(r) = r**4 - 273*r**3 - 2490*r**2 - 4940*r - 2284. Let d(x) = 546*x**3 + 4980*x**2 + 9876*x + 4569. Let z(h) = 4*d(h) + 9*o(h). Let z(l) = 0. Calculate l.
-5, -2, -2/3, 38
Let y be -2*((-9126)/(-12) - -3). Let m = 25961/17 + y. Factor -200/17*o - m*o**3 + 0 - 40/17*o**2.
-2*o*(o + 10)**2/17
Let r be (67/(-3) + -1)*(-105 - -102). Let w be 5*1/(-1)*(-4)/r. Factor -1/7*s**5 + 5/7*s - w + 4/7*s**4 - 2/7*s**2 - 4/7*s**3.
-(s - 2)*(s - 1)**3*(s + 1)/7
Let y(n) be the third derivative of -n**2 + 0*n + 23 + 35/4*n**4 - 735/2*n**3 - 1/12*n**5. Let y(w) = 0. What is w?
21
Let c(f) be the third derivative of -5/56*f**8 - 5/6*f**4 + 0*f + 20/3*f**3 - 31*f**2 + 0 + 17/42*f**7 - 5/2*f**5 + 5/24*f**6. What is l in c(l) = 0?
-1, -2/3, 1/2, 2
Let c(v) = 2*v**3 - 4 - 568*v + 568*v. Let h(u) = -u**2 - u + 9. Let a be h(-4). Let f(j) = 2*j**3 - j**2 + j - 5. Let i(s) = a*c(s) + 2*f(s). Factor i(r).
-2*(r - 1)*(r + 1)**2
Factor -75710*a**2 - 318028 - 340216*a - 432*a**3 - a**5 - 5635*a**3 - 133*a**4 - 26501*a**2.
-(a + 2)**2*(a + 43)**3
Let j(q) = -27*q**4 - 41*q**3 - 54*q**2 - 8*q. Let p(d) = -17*d**4 - 27*d**3 - 36*d**2 - 5*d. Let m(a) = 15*j(a) - 24*p(a). Find s, given that m(s) = 0.
-9, -2, 0
Let 0 + 13/4*f**2 - 1/4*f**3 + 0*f = 0. What is f?
0, 13
Let t(a) be the third derivative of 19*a**2 + 0 - 49/6*a**3 - 7/12*a**4 - 1/60*a**5 + 0*a. Find u, given that t(u) = 0.
-7
Suppose -u = -2*b + 2, -u - 3*b = 3 - 16. Suppose -26*o + 29*o + 12 = u*v, 4*o = v - 3. Factor -2/13*j**3 + 0 + 10/13*j**2 + o*j.
-2*j**2*(j - 5)/13
Let v(r) be the second derivative of -r**4/30 - 167*r**3/15 + 102*r**2 + 581*r - 1. Factor v(a).
-2*(a - 3)*(a + 170)/5
Suppose 2136*r + 3505 + 24*r**3 - 3517 - 4204*r**4 + 3006*r**2 - 52*r + 1210*r**2 - 2108*r**5 = 0. Calculate r.
-1, 3/527, 1
Let m(c) be the second derivative of -c**7/210 - c**6/75 + 9*c**5/100 + c**4/30 - 4*c**3/15 + 716*c - 1. Solve m(o) = 0 for o.
-4, -1, 0, 1, 2
Let r(z) be the third derivative of z**9/48384 + z**8/2304 + 32*z**5/15 - z**2. Let j(u) be the third derivative of r(u). Factor j(y).
5*y**2*(y + 7)/4
Determine p so that -4/7*p**3 - 104*p**2 - 17200/7 - 6980/7*p = 0.
-172, -5
Let g(l) be the third derivative of 117*l**2 + 0*l**3 - 1/2*l**4 + 11/30*l**6 + 0 - 2/35*l**7 - 1/3*l**5 + 0*l. Suppose g(y) = 0. Calculate y.
-1/3, 0, 1, 3
Let h = 298 - 296. Let 84 - 18*a**2 + 5*a**2 + 8*a**h + 3*a**2 - 38*a = 0. What is a?
-21, 2
Factor -3*b - 3*b**3 - b + 4*b**3 - 1156*b**2 - 1157*b**2 + 2306*b**2 + 28.
(b - 7)*(b - 2)*(b + 2)
Let w(p) be the third derivative of 2*p**5/25 - 369*p**4/40 + 23*p**3/5 + 623*p**2. Determine x, given that w(x) = 0.
1/8, 46
Suppose 20*l - 12 = 28. Solve 32*r**2 - 10*r**l - 10*r**2 - 2*r**2 + r**3 + 25*r = 0.
-5, 0
Suppose -4*q = -3*v + 28, -q = v + 4 - 11. Let n(g) = -g**2 + 12*g - 9. Let p be n(v). Factor -p*d - 12 + 2*d**4 + d + 2*d**3 - 4*d - 14*d**2.
2*(d - 3)*(d + 1)**2*(d + 2)
Determine w, given that 2/5*w**5 + 32*w**3 + 252/5 - 68*w**2 - 162/5*w + 88/5*w**4 = 0.
-42, -3, -1, 1
Let d(l) = 2*l**2 + l - 1. Let z(h) = -22 + 41 + 4*h**3 - 23 + 16*h + 24*h**2. Let a(p) = 4*d(p) - z(p). Factor a(j).
-4*j*(j + 1)*(j + 3)
Factor -726*t**3 + 60 + 50*t**2 + 511*t**3 - 115*t + 220*t**3.
5*(t - 1)**2*(t + 12)
Let c(n) be the first derivative of n**5/5 - 31*n**4/4 + 110*n**3 - 650*n**2 + 1000*n - 1666. Determine z, given that c(z) = 0.
1, 10
Let h(q) = -8*q**3 + 121*q**2 - 116*q - 135. Let t be h(14). Find k such that 8/3*k**t + 62/3*k**3 + 38/3*k**2 + 38/3*k**4 + 2/3*k - 4/3 = 0.
-2, -1, 1/4
Let j(f) = -f**3 + 5*f**2 + 6*f + 3. Let k be j(6). Suppose 0 = 13*p - 119 + 15. Factor -4*v**2 + 4*v + 2*v**4 + 2*v**4 - 5*v - 7*v + p*v**k.
4*v*(v - 1)*(v + 1)*(v + 2)
Let h(t) be the first derivative of -t**7/252 + t**6/180 + t**5/4 + 293*t + 123. Let o(a) be the first derivative of h(a). Factor o(z).
-z**3*(z - 6)*(z + 5)/6
Suppose 42*z - 103*z - 209*z + 1350 = 0. Let n(s) be the first derivative of s - 1/10*s**z + 3/8*s**4 - 3/4*s**2 - 20 - 1/6*s**3. Factor n(r).
-(r - 2)*(r - 1)**2*(r + 1)/2
Let a(h) be the second derivative of h**7/12600 + 7*h**6/3600 - h**5/75 + h**4/12 + 29*h + 2. Let o(q) be the third derivative of a(q). Factor o(c).
(c - 1)*(c + 8)/5
Let z(s) be the first derivative of s**5/20 - 5*s**4/12 + s**3/3 + 4*s**2 - 6*s + 5. Let m(o) be the first derivative of z(o). Find d such that m(d) = 0.
-1, 2, 4
Factor 9/2*t**2 + 0 + 1/2*t**4 - 2*t - 3*t**3.
t*(t - 4)*(t - 1)**2/2
Let l(p) be the third derivative of 0*p**3 + 88*p**2 + 2/45*p**5 + 0 + 1/90*p**6 + 0*p - 1/6*p**4. Factor l(m).
4*m*(m - 1)*(m + 3)/3
Let h = -29 + 29. Suppose -2*n + 76 = n - b, -2*n - b + 49 = h. Factor 5*x**2 + 51 - 25 - 6 - n*x.
5*(x - 4)*(x - 1)
Let z(q) = q**3 - 58*q**2 - 821*q + 4358. Let f(v) = -5*v**3 + 230*v**2 + 3282*v - 17433. Let s(g) = 2*f(g) + 9*z(g). Factor s(b).
-(b - 4)*(b + 33)**2
Let u(h) be the first derivative of h**5/12 - 5*h**4/12 - 43*h**2/2 + 35. Let b(d) be the second derivative of u(d). Determine z so that b(z) = 0.
0, 2
Let c(a) be the third derivative of -2*a**7/105 - 7*a**6/6 + 206*a**5/15 + 40*a**4 + 10*a**2 + 31*a - 3. Factor c(b).
-4*b*(b - 6)*(b + 1)*(b + 40)
Let y = 486653 + -486634. What is z in 4*z + y*z**3 - 9/2*z**4 - 22*z**2 + 0 = 0?
0, 2/9, 2
Let -20*l**2 + 299*l - 375*l + 4*l**3 - 108 - 56*l = 0. Calculate l.
-3, -1, 9
Determine a, given that -69/2*a**2 + 6 + 6*a**5 - 33/2*a + 21/2*a**3 + 57/2*a**4 = 0.
-4, -1, 1/4, 1
Let k = -601221 + 601225. Factor -2/15 - 8/15*f - 4/5*f**2 - 8/15*f**3 - 2/15*f**k.
-2*(f + 1)**4/15
Let l be -13*-3*(-34)/12*2. Let y = 225 + l. Let -8/15*n**y + 2/15*n**2 + 0*n + 0 - 2/5*n**3 = 0. Calculate n.
-1, 0, 1/4
Let t = 58667 - 58665. Factor 8/9 + 2/9*l**3 - 8/9*l**t - 2/9*l.
2*(l - 4)*(l - 1)*(l + 1)/9
Let y(r) be the first derivative of 6*r**5/5 + 377*r**4/20 + 206*r**3/15 + 12*r**2/5 - 6318. Solve y(d) = 0 for d.
-12, -2/5, -1/6, 0
Let x(w) be the second derivative of 4*w + 3*w**2 + 1/3*w**3 - 1/8*w**4 + 0 - 1/30*w**5. Let s(h) be the first derivative of x(h). Determine c so that s(c) = 0.
-2, 1/2
Let p(q) = 18*q**3 - 388*q**2 - 12271*q - 11921. Let v(k) = 5*k**3 - 129*k**2 - 4091*k - 3973. Let j(r) = -6*p(r) + 21*v(r). Factor j(t).
-3*(t + 1)*(t + 63)**2
Let c = -157/595 - -1109/595. Find w, given that 1/10*w**2 - c + 3/5*w = 0.
-8, 2
Let k be 4*(-1 + -2)/(-6). Solve -12*y - 13*y + y**k + 15*y + 25 = 0 for y.
5
Find f such that -504/11 + 42/11*f**2 + 160/11*f + 2/11*f**3 = 0.
-14, -9, 2
Let z = 139 - 136. Factor 891*b**4 - 10*b**z + 44*b - 34*b**3 - 52*b**2 + 19 + 29 - 887*b**4.
4*(b - 12)*(b - 1)*(b + 1)**2
Let w(n) be the first derivative of n**5/5 + 25*n**4/3 + 16*n**3 - 133*n + 150. Let k(i) be the first derivative of w(i). Factor k(c).
4*c*(c + 1)*(c + 24)
Factor 46293*q + 53*q**2 - 84 - 46337*q - 17*q**2 - 4*q**3.
-4*(q - 7)*(q - 3)*(q + 1)
Let w(g) be the third derivative of -g**6/660 - 13*g**5/66 + g**4/2 - 1685*g**2. Let w(r) = 0. What is r?
-66, 0, 1
Factor -537*s**2 + 4*s**3 - 1172*s - 141115 - 631*s**2 + 141115.
4*s*(s - 293)*(s + 1)
Let x = -338612 - -677225/2. Factor 0 + 0*