. Factor a(l).
2*(l - 17)*(l - 2)/5
Let t(r) be the third derivative of 0*r - 1/20*r**5 - 64*r**2 + 1/70*r**7 - 1/40*r**6 + 0 + 0*r**3 + 1/8*r**4. Let t(j) = 0. What is j?
-1, 0, 1
Let w(g) be the second derivative of g**5/35 + 17*g**4/21 + 116*g - 6. Determine i, given that w(i) = 0.
-17, 0
Let w(y) be the second derivative of -y**5/80 + 9*y**4/16 - 13*y**3/12 + 2947*y. Factor w(o).
-o*(o - 26)*(o - 1)/4
Let r(d) be the second derivative of 0*d**2 + 2/39*d**4 + 2/65*d**5 + 27*d + 1/195*d**6 + 0 + 0*d**3. Factor r(x).
2*x**2*(x + 2)**2/13
Let c = 4384 - 4384. Let u(y) be the second derivative of -8*y**2 - 89/3*y**4 - 68/3*y**3 + c - 163/10*y**5 - 8*y - 3*y**6. Find i, given that u(i) = 0.
-2, -1, -2/5, -2/9
Let x(a) be the first derivative of -3*a**4/8 + 7*a**3/2 - 3*a**2 - 18*a - 640. Determine f, given that x(f) = 0.
-1, 2, 6
Suppose -3*h - 4*a + 0*a + 144 = 0, 3*a = 5*h - 240. Let t be 12/5*(-20)/(-8). Determine q so that 430*q**2 - 2*q**4 + 29*q**4 - 415*q**2 + h*q**3 - t*q = 0.
-1, 0, 2/9
Let c(b) be the second derivative of -1/15*b**5 + 2*b - 1/180*b**6 + 7/3*b**3 + 0*b**2 + 0 - 1/3*b**4. Let h(w) be the second derivative of c(w). Factor h(f).
-2*(f + 2)**2
Suppose -a + 5*h = -39, 82460*h = a + 82465*h - 49. Solve 2/3*d**3 - 21296/3 + 968*d - a*d**2 = 0.
22
Suppose -77 = -69*y - 80 + 141. Let s(v) be the first derivative of -18 - 3/4*v**y - v + 3/8*v**4 + 1/10*v**5 + 1/6*v**3. Solve s(u) = 0.
-2, -1, 1
Solve -104905038 + 10886469 - 40830*r - 5*r**2 + 10664124 = 0.
-4083
Let l(z) be the second derivative of 2/3*z**3 + 5/6*z**4 + 9/20*z**5 + 1/84*z**7 + 7/60*z**6 + 12*z + 0*z**2 + 3. Determine r, given that l(r) = 0.
-2, -1, 0
Determine w, given that 9 - 16*w - 26*w**2 - 19*w**2 + 42*w**2 - 35*w + 243 = 0.
-21, 4
Let m(k) be the first derivative of 191 + 1024/17*k - 1/51*k**6 - 241/34*k**4 + 1840/51*k**3 + 52/85*k**5 - 1216/17*k**2. Factor m(h).
-2*(h - 8)**3*(h - 1)**2/17
Let k(x) = 2*x**4 + 2*x**3 - 50*x**2 + 60*x - 8. Let v(u) = -7*u**4 - 9*u**3 + 201*u**2 - 238*u + 36. Let s(l) = -9*k(l) - 2*v(l). Solve s(r) = 0 for r.
-4, 0, 2
Let n(s) be the first derivative of -s**4/10 + 266*s**3/15 - 7945. Factor n(o).
-2*o**2*(o - 133)/5
Suppose 2/3*u**5 + 0*u + 2*u**2 - 2/3*u**3 + 0 - 2*u**4 = 0. Calculate u.
-1, 0, 1, 3
Let m = -138420/79 - -1752. Let i = m + 352/237. Determine g so that 64*g + 16*g**2 + 256/3 + i*g**3 = 0.
-4
Suppose -16*x = -5*x - 308. Let 54*k**3 + k**4 - 60*k - 72 - 5*k**4 + x*k**2 - 42*k**3 = 0. Calculate k.
-2, -1, 3
Let g(o) be the first derivative of -o**6/3 + 6*o**5 - 13*o**4/2 - 10*o**3 + 14*o**2 + 204. Suppose g(q) = 0. What is q?
-1, 0, 1, 14
Let u(n) = -3*n**2 + 8*n - 12. Let q be u(3). Let h = q - -25. Suppose -20*l**3 + 165 - 3*l**2 + h*l**5 - 5*l**2 + 4*l**4 + 10*l - 161 = 0. What is l?
-1, -2/5, 1
Let o(g) = 9*g**3 - 15*g**2 - 34*g + 44. Let w(c) = 36 - 9*c + 83*c - 123 + 30*c**2 - 17*c**3 - 7*c. Let k(l) = -7*o(l) - 4*w(l). Factor k(z).
5*(z - 4)*(z - 1)*(z + 2)
Let j(z) be the second derivative of z**5/20 - z**4/4 + z**3/3 - z**2 + 7*z. Let g be j(3). Factor -15*m**3 + 2*m**2 + 5*m**2 + 10*m**g - 2*m**2 + 0*m**2.
5*m**2*(m - 1)*(2*m - 1)
Let s be (-4 + 10/5)/(14/(-9527)). Let t = 5445/4 - s. Solve -j**2 - 1/4*j + 1 + t*j**3 = 0.
-1, 1, 4
Factor -3480*u + 566*u**2 + 612*u - 15*u**3 + 37*u**3 - 9*u**3 + 3456 - 11*u**3.
2*(u - 3)*(u - 2)*(u + 288)
Solve -2*p**3 - 444*p**2 - 416*p**2 - 453*p**2 - 135200*p + 273*p**2 = 0 for p.
-260, 0
Let c(w) be the second derivative of -2*w**7/21 - 8*w**6 + 814*w. Factor c(s).
-4*s**4*(s + 60)
Let g(i) = i**3 + 15*i**2 + 14*i + 2. Suppose 52 + 4 = -4*p. Let c be g(p). Factor c - 5/2*n + 1/2*n**2.
(n - 4)*(n - 1)/2
Let g = 273/29 + -5431/580. Let y(t) be the first derivative of -1/4*t**3 + g*t**5 - 18 - 1/4*t**2 + 0*t + 0*t**4. Factor y(w).
w*(w - 2)*(w + 1)**2/4
Let m = 27802 - 27799. Let l(q) be the first derivative of q**4 + 34*q**2 - 40*q - 13 - 32/3*q**m. Factor l(a).
4*(a - 5)*(a - 2)*(a - 1)
Let n be ((-25)/(-15))/(5/15). Factor n*y**2 + 33*y**3 + y**4 - 3*y**4 - 20*y - 13*y**3 - 3*y**4.
-5*y*(y - 4)*(y - 1)*(y + 1)
Let n(k) be the second derivative of -2*k**5 + 2/15*k**6 - 11/3*k**4 + 0*k**3 + 0 + 0*k**2 - 221*k. What is j in n(j) = 0?
-1, 0, 11
Let p be (10/15)/((-14)/(-16989)). Factor -6*t**2 - 841 + 2*t**2 + p - 24*t.
-4*(t + 2)*(t + 4)
Suppose 34*q = -5*p + 37*q + 3, 4*p + 2*q = 20. Factor -5000/23 - 18/23*k**4 + 924/23*k**p - 12458/23*k**2 + 15400/23*k.
-2*(k - 25)**2*(3*k - 2)**2/23
Let o be (-10)/25 + 9/10. Let n(a) be the third derivative of -1/20*a**5 + 0 + 0*a - o*a**3 - 1/4*a**4 + 3*a**2. Let n(b) = 0. What is b?
-1
Let d(j) be the second derivative of j**6/90 - 8*j**5/45 + 13*j**4/18 - 4*j**3/3 - 28*j**2 + 81*j. Let n(g) be the first derivative of d(g). Factor n(i).
4*(i - 6)*(i - 1)**2/3
Let n(l) be the second derivative of l**4/12 - l**3/6 - l**2 - l. Let g be n(-2). Factor 10*t**3 - 4*t**3 - 4*t**3 - 6*t - g.
2*(t - 2)*(t + 1)**2
Let j(d) be the second derivative of d**4/72 - 1031*d**3/18 + 1062961*d**2/12 + 1121*d - 1. Determine z, given that j(z) = 0.
1031
Let r(y) be the second derivative of -5*y**5/22 - 135*y**4/11 + 448*y**3/11 - 544*y**2/11 + 2823*y. Factor r(p).
-2*(p + 34)*(5*p - 4)**2/11
Let j(f) = 20*f**2 - 72*f - 68. Let b(c) = 2*c - 17 + 4*c**2 - 3*c - 3 + 21. Let x(r) = -4*b(r) + j(r). Factor x(m).
4*(m - 18)*(m + 1)
Let u(b) = 9*b**4 + 78*b**3 + 472*b**2 + 1282*b + 1284. Let x(o) = -47*o**4 - 389*o**3 - 2356*o**2 - 6411*o - 6422. Let l(q) = 11*u(q) + 2*x(q). Factor l(i).
5*(i + 4)**4
Let c = 104 + -100. Factor -27*g**3 - 1118*g**2 + 9*g**c + 568*g**2 + 3*g**5 + 565*g**2.
3*g**2*(g - 1)**2*(g + 5)
Let o(p) be the first derivative of 3*p**2 - 3*p - 2. Let k be o(1). Let 30*u**2 + 6 - 3*u**5 - 6 - 30*u**k + 15*u**4 + 3 - 15*u = 0. What is u?
1
Let g = 8 + -2. Let o = g - -9. Suppose -10*h**2 - 5*h**5 + o*h**3 + 3*h - 3*h = 0. What is h?
-2, 0, 1
Suppose 34 = 89*i - 322. Let d be i/5*550/220. What is p in 1/5*p**4 - 2*p - 5 + 24/5*p**2 + d*p**3 = 0?
-5, -1, 1
Let f be -1*5/((-15)/9). Suppose 12*u**5 + f*u**2 + 67*u**2 + 17*u**2 + 14*u + 99*u**3 - 27 - 120*u**4 - 29*u - 36*u = 0. Calculate u.
-1/2, 1, 9
Let 2576*h - 1218*h - 3*h**2 - 2198939 + 3760*h + 16112 = 0. What is h?
853
Suppose -t - 2*r - 8 = 0, 9 + 1 = -2*r. Suppose 5 = -u, -10 = -y - t*u - 18. Factor -3/5*n**3 - 3/5*n**4 + 0*n + 0 + 3/5*n**5 + 3/5*n**y.
3*n**2*(n - 1)**2*(n + 1)/5
Let b be (-270)/18 - (-21 - (0 - 3)). Factor 0 - 25/2*j**2 + 15/2*j**b - 5*j.
5*j*(j - 2)*(3*j + 1)/2
Let a(h) be the second derivative of -1/7*h**3 + 0*h**5 + 0 - 1/210*h**6 + 0*h**2 + 14*h + 1/12*h**4. Factor a(p).
-p*(p - 2)*(p - 1)*(p + 3)/7
Let d(g) be the first derivative of -g**8/1680 - 16*g**3 - 57. Let i(r) be the third derivative of d(r). Factor i(c).
-c**4
Let i(w) be the third derivative of w**8/72 - 817*w**7/315 - 1907*w**6/180 + 341*w**5/90 + 475*w**4/9 + 476*w**3/9 + w**2 - 1436. Solve i(v) = 0 for v.
-2, -1, -2/7, 1, 119
Let r(t) be the third derivative of t + 1/240*t**6 - 1/30*t**5 + 3/2*t**3 + 0 - 5*t**2 - 1/16*t**4. Determine f so that r(f) = 0.
-2, 3
Suppose 0 = -4*l + 5*s + 7, s = -2*l - 0*s + 7. Suppose 6 + 3*j**l - 10 + 8 + 2 - 9*j = 0. Calculate j.
-2, 1
Find s such that 24*s**2 + 7/3*s**4 - 18*s**3 + 0 + 1/3*s**5 + 0*s = 0.
-12, 0, 2, 3
Suppose 0 = 2*q + 8, -50 = -5*c + 2*q + 3. Suppose -3*i + k = -6*i + c, i = k + 7. Factor 5*l - 6*l**2 + 3*l**4 - i*l**3 + l**2 + 2*l**4 - l**3.
5*l*(l - 1)**2*(l + 1)
Let s(r) be the third derivative of -r**6/1020 - 6*r**5/85 + 589*r**4/204 + 208*r**3/17 + 1267*r**2 - 2. Let s(n) = 0. Calculate n.
-48, -1, 13
Let o(m) be the first derivative of -75 + 2/5*m**5 + 0*m + 3/2*m**4 - 8/3*m**3 - 12*m**2. Factor o(g).
2*g*(g - 2)*(g + 2)*(g + 3)
Let b be 2/8 - 300/(-80). Let y be ((-6)/28)/(b/(-8)). Solve y*p**2 + 9/7 + 15/7*p - 3/7*p**3 = 0 for p.
-1, 3
Let a(d) be the third derivative of -7*d**6/300 + 23*d**5/25 - 34*d**4/5 - 128*d**3/15 + d**2 + 2895*d - 2. Suppose a(i) = 0. Calculate i.
-2/7, 4, 16
Let n(u) be the first derivative of u**6/120 - 3*u**5/4 - 31*u**4/8 + 245*u**3/3 + 185. Let b(m) be the third derivative of n(m). Factor b(c).
3*(c - 31)*(c + 1)
Let k(m) be the second derivative of m**8/3360 - m**7/840 - m**6/180 + m**5/30 + 125*m**3/6 + 33*