be n(-6). Factor -11503 + 20*z - 21*z**2 + 11503 + z**d.
z*(z - 20)*(z - 1)
Let a be 7562/(-456) + (-2)/12. Let u = a + 18. Factor 1/2 + w**2 + u*w + 1/4*w**3.
(w + 1)**2*(w + 2)/4
Let j(r) be the second derivative of -13/5*r**5 + 2/15*r**6 + 0*r**2 - 2*r**3 + 49/12*r**4 + 0 + 161*r. Let j(y) = 0. What is y?
0, 1/2, 12
Let f(h) = -h**3 - 244*h**2 + 223*h - 5388. Let j be f(-245). Factor 56/5*x + 4/5*x**j + 0.
4*x*(x + 14)/5
Let l(t) be the third derivative of -t**6/240 + t**5/120 - t**2 + 1519. Suppose l(y) = 0. What is y?
0, 1
Suppose 144/7*d**2 - 45/7*d**3 + 192/7*d + 3/7*d**4 + 0 = 0. Calculate d.
-1, 0, 8
Let l(o) be the second derivative of -o**5/15 + 13*o**4/9 + 2*o**3 - 78*o**2 - 8268*o. What is a in l(a) = 0?
-3, 3, 13
Let t be (-84 - -84) + (-3)/3 + (-16)/(-1). Let n(h) be the second derivative of 0 - 7/24*h**3 + t*h - 1/8*h**2 - 1/8*h**4. Factor n(l).
-(l + 1)*(6*l + 1)/4
Factor 0 + 168*f**2 + 192*f - 93/4*f**3 + 3/4*f**4.
3*f*(f - 16)**2*(f + 1)/4
Let x(a) = -21*a**4 - 23*a**3 - 200*a**2 + 852*a - 864. Let l(k) = 18*k**4 + 22*k**3 + 199*k**2 - 852*k + 864. Let o(f) = 8*l(f) + 7*x(f). Factor o(d).
-3*(d - 9)*(d - 2)**2*(d + 8)
Let z(v) be the first derivative of -v**4/8 - v**3 - 9*v**2/4 - 2*v - 736. What is y in z(y) = 0?
-4, -1
What is q in 234*q**2 - 27*q**4 - 231*q - 110*q - 41*q + 25*q**4 - 262*q - 4*q**3 + 416 = 0?
-13, 1, 2, 8
Let a(n) be the first derivative of -1/28*n**4 + 3/2*n**2 + 160 + 45/7*n - 1/21*n**3. Factor a(i).
-(i - 5)*(i + 3)**2/7
Let h(d) = 30*d**3 + 440*d**2 + 1075*d - 1445. Suppose -125 = 12*x - 7*x. Let y(f) = 5*f**3 + 73*f**2 + 179*f - 241. Let b(a) = x*y(a) + 4*h(a). Factor b(g).
-5*(g - 1)*(g + 7)**2
Let c be -13 - 0 - ((-26)/(-13) + -15). Factor -1/2*a - 1/2*a**2 + 1/2*a**4 + c + 1/2*a**3.
a*(a - 1)*(a + 1)**2/2
Factor -20*y + 4*y**3 + 13*y - 16*y - 16*y**2 + 256 - 32*y - 9*y.
4*(y - 4)**2*(y + 4)
Find k, given that -10/7*k**2 - 10/7*k**3 + 10/7*k - 2/7*k**4 + 12/7 = 0.
-3, -2, -1, 1
Let o be -5 - (-12)/(-16)*(5 + 503). Let m = o - -386. Suppose -10/19*p**3 + 4/19*p**2 + 0*p + m = 0. Calculate p.
0, 2/5
Let h be -8 - -6 - 48/(-3). Let o(d) = -3*d**2 - 10*d - 12. Let r(k) = 8*k**2 + 30*k + 36. Let i(z) = h*o(z) + 5*r(z). Factor i(m).
-2*(m - 6)*(m + 1)
Suppose 6*i - 687 = 159. Solve 40*n - i*n**2 - 135*n**2 + 281*n**2 = 0.
-8, 0
Factor 17*o**2 + 81*o**3 - 136*o**3 + 56*o**3.
o**2*(o + 17)
Let c = 45476/33 - 1378. Let f(w) be the third derivative of 0 - 1/330*w**5 - 5*w**2 - c*w**4 + 0*w - 16/33*w**3. Solve f(d) = 0 for d.
-4
Let c(n) be the third derivative of n**7/504 - 7*n**6/144 + 5*n**5/12 - 5*n**4/4 - n**3/3 + 4*n**2 + 3. Let p(m) be the second derivative of c(m). Factor p(l).
5*(l - 5)*(l - 2)
Suppose -20*q + 21*q + 25 = 3*x, 3*q = -3*x + 9. Let m be (7/x + -5)/(-26). Factor -2/13*l**3 - m*l**2 + 4/13*l + 0.
-2*l*(l - 1)*(l + 2)/13
Let x(o) = -o**2 + 29*o - 26. Let k be x(28). Factor 8*s**2 + 23*s**2 + 9*s**k + s**4 + 4*s**3 - 28*s**3 + s**4.
2*s**2*(s - 10)*(s - 2)
Suppose -724*y + 409 = 409. Determine s, given that y + 2/17*s**3 + 0*s + 2/17*s**2 = 0.
-1, 0
Let d(k) = -35*k + 73. Suppose -n + 9*p - 4*p + 27 = 0, 3*n - 3*p = 21. Let b be d(n). Let 8/7*q**2 + 4/7*q - 4/7*q**b - 2/7*q**4 - 6/7 = 0. What is q?
-3, -1, 1
Let r(d) = -d**5 + 9*d**3 + 4*d**2 - 17*d + 5. Let w(j) = j - 1. Suppose 14*z = 24*z - 100. Let c(y) = z*w(y) + 2*r(y). Determine g, given that c(g) = 0.
-2, 0, 1, 3
Suppose 13*b = -2*j + 10*b - 43, 0 = -2*j + 3*b - 13. Let h be 10/(-6) + (j - -17). Factor 4/3 + h*q + 1/3*q**2.
(q + 2)**2/3
Let l(n) be the third derivative of n**7/525 - 3*n**6/100 + 23*n**5/150 - n**4/20 - 12*n**3/5 - 5109*n**2 + 2*n. Factor l(j).
2*(j - 4)*(j - 3)**2*(j + 1)/5
Let a(p) be the first derivative of -p**6/15 - 18*p**5/25 + 208*p**3/15 - 48*p**2/5 - 288*p/5 - 2126. Determine x so that a(x) = 0.
-6, -1, 2
Let w(l) be the first derivative of 1/42*l**6 + 0*l**3 - 1/28*l**4 + 0*l**5 + 0*l + 43 + 0*l**2. Factor w(n).
n**3*(n - 1)*(n + 1)/7
Let a = 153828 + -153826. Factor -3/7*v + 0 - 3/7*v**a.
-3*v*(v + 1)/7
Let b(r) be the second derivative of 26*r + 3/20*r**4 + 3/100*r**5 - 4 + 0*r**2 + 1/5*r**3. Factor b(j).
3*j*(j + 1)*(j + 2)/5
Let u be (3 + -6)/(-3)*0/(-2). Let k be (-24)/(-11) - u - (-48 + 50). Determine j so that 1/11*j + 1/11*j**3 + 0 - k*j**2 = 0.
0, 1
Let t(z) be the third derivative of z**9/2520 + 3*z**8/11200 - z**4/8 + z**3 + 18*z**2 + 4. Let w(p) be the second derivative of t(p). Factor w(i).
3*i**3*(10*i + 3)/5
Suppose -2*a + 4*b - 22 = 0, 3*a = -b + 38 - 15. Let p(v) be the first derivative of 1 + 6*v**2 - a*v**3 + 0*v + 3/4*v**4. Factor p(w).
3*w*(w - 4)*(w - 1)
Let n = -339 - -356. Factor -n*l**2 + 63*l**2 - 20*l**2 - 13*l**2 - 4 - 14*l**2 + 4*l.
-(l - 2)**2
Let k(q) be the third derivative of q**5/60 + 11*q**4/24 + 10*q**3/3 - 3*q**2. Let b be k(-9). What is o in o**2 - 6 + 4*o**2 + 26 - 10*o**b = 0?
-2, 2
Let c(l) be the first derivative of 2*l**5/25 + 33*l**4/5 - 9134. What is y in c(y) = 0?
-66, 0
Let h = -15 + 17. Let u(p) = -330*p**2 - 550*p - 220. Let k(n) = -25*n - 10*n**2 + 0 - 8 - 5*n**2 - 2. Let s(c) = h*u(c) - 45*k(c). Find o, given that s(o) = 0.
-1, -2/3
Let d be -5*36*57/(-2052). Determine v, given that 2*v**4 - 8/5*v**2 + 2/5*v**d - 16/5*v + 12/5*v**3 + 0 = 0.
-2, 0, 1
Factor 2*y**4 - 12/7*y**3 + 0*y + 0 + 0*y**2 - 2/7*y**5.
-2*y**3*(y - 6)*(y - 1)/7
Let a be 10 + 2 + 19 + -24 + -5. Let v = 20540/11 - 1866. Suppose -2/11*x + 0 - v*x**a - 12/11*x**3 = 0. What is x?
-1, -1/6, 0
Let s(b) be the second derivative of b**4/12 - 13*b**3/6 - 84*b**2 - 6446*b. What is h in s(h) = 0?
-8, 21
Let k(c) = 2*c**2 + 22*c - 22. Let r(q) = -2*q - 1. Let d = 164 - 165. Let y(x) = d*k(x) - 6*r(x). Factor y(s).
-2*(s - 2)*(s + 7)
Suppose -2*y + 19*y = -2040. Let w be (-45)/y + (-31)/(-24). Factor -w*u - 10/3*u**2 + 5/3*u**3 + 10/3.
5*(u - 2)*(u - 1)*(u + 1)/3
Let j be (-348)/290 + 12/10. Suppose j + i + 1/7*i**3 - 8/7*i**2 = 0. What is i?
0, 1, 7
Suppose 5*q - w - 26 = 0, -3*q - 57*w = -53*w + 12. Let a(i) be the third derivative of 0*i**3 + 23*i**2 + 0*i - 1/72*i**q + 0 + 1/360*i**5. Factor a(u).
u*(u - 2)/6
Suppose 0 = -29491*o + 14718*o + 14704*o + 2208. What is f in -14*f**4 + 32/7 - o*f + 8*f**3 + 384/7*f**2 = 0?
-2, 2/7, 2
Let f = 475 - 298. Let k = 180 - f. Factor 4/15 + 2/15*c**4 + 14/15*c + 2/3*c**k + 6/5*c**2.
2*(c + 1)**3*(c + 2)/15
Suppose -2*g**3 - 13*g**3 + 201 + 0*g**3 + 579*g**2 + 408*g**2 + 1203*g = 0. What is g?
-1, -1/5, 67
Let l(g) be the first derivative of -1/6*g**3 + 11*g + 0*g**2 + 1/36*g**4 + 20. Let n(j) be the first derivative of l(j). Factor n(y).
y*(y - 3)/3
Let v(q) = -q - 29. Let s(y) = -2*y**2 - 6*y - 31. Let k be s(0). Let w be v(k). Factor 7/4*g**w + 2*g - 5/4*g**3 - 1.
-(g - 2)*(g + 1)*(5*g - 2)/4
Let h(d) = 3*d**2 - 4*d - 11. Let c(b) be the first derivative of -4*b**3 + 15*b**2/2 + 42*b - 75. Let f(v) = 4*c(v) + 15*h(v). Factor f(i).
-3*(i - 1)*(i + 1)
Let p(c) = -60*c - 965. Let a be p(-16). Let j be a/2*-2 - 237227/(-785). Let 576/5*f - 72/5*f**2 + 3/5*f**3 - j = 0. What is f?
8
Determine q, given that 75/2*q**2 - 38 - 146/3*q - 11/6*q**3 = 0.
-6/11, 2, 19
Factor 132/13 + 10/13*h - 2/13*h**2.
-2*(h - 11)*(h + 6)/13
Let c = 2858 + -2856. Let a(u) be the second derivative of 3/4*u**4 - 6*u - 3/10*u**6 + 0 + 3/20*u**5 + 0*u**c + 1/14*u**7 - u**3. Factor a(s).
3*s*(s - 2)*(s - 1)**2*(s + 1)
Let u(h) be the first derivative of -h**3/21 + 5*h**2/2 - 66*h/7 - 746. Factor u(m).
-(m - 33)*(m - 2)/7
Let u(a) = 2*a**3 - 522*a**2 - 1751*a - 1238. Let w(m) = -4*m**3 + 940*m**2 + 3152*m + 2228. Let x(b) = 20*u(b) + 11*w(b). Factor x(r).
-4*(r + 1)*(r + 3)*(r + 21)
Let q(v) = 8*v**2 - 1506*v + 281268. Let c(n) = n**2 - n + 3. Let d(j) = 6*c(j) - q(j). Determine b, given that d(b) = 0.
375
Factor -160*q + 8/7 + 40898/7*q**5 + 37490/7*q**2 + 121550/7*q**4 + 119270/7*q**3.
2*(q + 1)**3*(143*q - 2)**2/7
Let o(s) be the first derivative of 11*s**2 - 77 - 2/3*s**3 + 0*s. Factor o(c).
-2*c*(c - 11)
Let w(m) = -13*m**5 - 12*m**4 + m**3 + 26*m**2 - 22*m + 5. Let y(f) = -15*f**5 - 12*f**4 + 24*f**2 - 21*f + 6. Let j(g) = 6*w(g) - 5*y(g). Factor j(o).
-3*o*(o - 1)**2*(o + 3)**2
Let d(v) = -3*v**2 - 61*v - 124. Let f be d(-18). Factor 3/4*l**5 + 0*l + 0*l**3 + 0 + 9/4*l**4 - 3*l*