 = 5*w**2 - 10*w + 8. Let p be x(1). Suppose -3*l**2 - 422*l**4 - p*l**3 - 5*l**3 - 16 + 26*l + 423*l**4 = 0. Calculate l.
-2, 1, 8
Let r = 1/439 + 437/878. Let a(u) be the first derivative of -r*u**4 + 0*u**3 + 0*u**5 - 5 + 0*u + 1/3*u**6 + 0*u**2. Factor a(b).
2*b**3*(b - 1)*(b + 1)
Let g(j) be the first derivative of -2*j**3/27 - 685*j**2/9 + 916*j/3 - 3429. Solve g(p) = 0 for p.
-687, 2
Let n(b) be the third derivative of b**6/160 + b**5/20 + b**4/8 - 20*b**3/3 - 3*b**2 - b. Let g(d) be the first derivative of n(d). Factor g(j).
3*(j + 2)*(3*j + 2)/4
Let f(d) be the first derivative of d**4 + 4252*d**3/3 - 6678. Factor f(o).
4*o**2*(o + 1063)
Suppose 13*x + 14 = 20*x. Factor -63*l**4 + 104*l**2 - 380*l**3 - 360*l**2 - 37*l**4 - x*l - 46*l.
-4*l*(l + 3)*(5*l + 2)**2
Let -572/5*z + 0 + 1/5*z**2 = 0. What is z?
0, 572
Let v be (3/(-4))/(1/(-4)). Let s be 24/2*(-190)/(-2660) - 104/154. Factor -s*b**v + 4/11*b**2 + 2/11*b - 4/11.
-2*(b - 2)*(b - 1)*(b + 1)/11
Let i(p) be the second derivative of p**6/2520 + 13*p**5/840 - p**4/12 + 4*p**3 + p - 18. Let f(u) be the second derivative of i(u). Let f(z) = 0. What is z?
-14, 1
Let w = 505 + -508. Let t be (w - (-77)/21)*(-12)/(-40). Factor -1/10*b**3 - 3/10*b**2 + 1/10*b + t + 1/10*b**4.
(b - 2)*(b - 1)*(b + 1)**2/10
Let b be 27/12 + (6 - (-275)/(-44)). Let w(z) be the first derivative of 5 - 112/19*z**b - 13/38*z**4 + 128/19*z + 40/19*z**3 + 2/95*z**5. Factor w(k).
2*(k - 4)**3*(k - 1)/19
Let s(t) be the second derivative of -91*t + 0 + 0*t**3 + 1/16*t**4 + 0*t**2. What is r in s(r) = 0?
0
Let g = 44 + -41. Let j be (-1 - -6)/(55/2). Factor -6/11*i**g - 2/11*i - 10/11*i**2 + j.
-2*(i + 1)**2*(3*i - 1)/11
Let d(v) = -42*v**3 + 135*v**2 + 56*v - 86. Let y(j) = 6*j**3 + j**2 - 2. Let p(k) = d(k) + 5*y(k). What is a in p(a) = 0?
-1, 2/3, 12
Let z(b) = -34*b - 237. Let f be z(-10). Suppose 9*m + 85 - f = 0. Factor -8/3*s**3 - 2/3*s**m + 4/3 + 7/3*s - 2/3*s**4 + 1/3*s**5.
(s - 4)*(s - 1)*(s + 1)**3/3
Suppose -284560/7*t**2 - 579072/7*t + 612/7*t**4 - 389376/7 - 2/7*t**5 - 44952/7*t**3 = 0. Calculate t.
-2, 156
Let l(d) be the first derivative of 0*d**2 + 79 + 0*d + 1/20*d**5 - 1/16*d**4 - d**3. Factor l(q).
q**2*(q - 4)*(q + 3)/4
Let y(v) be the first derivative of -v**4/4 - 5*v**3 - 27*v**2/2 + 26*v + 7. Let p(o) be the first derivative of y(o). Determine d, given that p(d) = 0.
-9, -1
Let o be (3/6)/(5/(-40)) - -2. Let d be o/(3*(-12)/8). Factor -2/3*t + d + 2/9*t**2.
2*(t - 2)*(t - 1)/9
Solve 9/4*u**4 + 24 + 18*u - 15*u**2 + 3/4*u**5 - 15/2*u**3 = 0.
-4, -2, -1, 2
Suppose -3/2*j**4 - 87/2*j + 81/2*j**2 - 21/2*j**3 + 15 = 0. What is j?
-10, 1
Let k be ((-6)/7)/(465360/6468 - 72). Factor 18*i**2 - k*i - 3/2.
3*(i - 1)*(12*i + 1)/2
Let x(t) be the first derivative of -t**5/20 + 55*t**4/16 + t**3/4 - 163*t**2/8 - 55*t/2 + 2800. Factor x(k).
-(k - 55)*(k - 2)*(k + 1)**2/4
Let c = -78 - -85. Suppose -2 = -3*h + c. Factor -55*k**3 - h*k**5 - 31*k**4 + 55*k**4 + 7*k**3.
-3*k**3*(k - 4)**2
Let v(t) = -t**3 - t**2 - 12*t. Let s(m) = 5*m**4 + m**3 - 409*m**2 - 453*m. Let j(d) = s(d) - 4*v(d). Factor j(g).
5*g*(g - 9)*(g + 1)*(g + 9)
Factor r**4 + 114578*r**3 - 22 - 51*r**2 - 114585*r**3 - 53*r + 12*r**2.
(r - 11)*(r + 1)**2*(r + 2)
Let g(u) be the third derivative of u**6/24 - 13*u**5/120 + u**4/24 + u**3/12 - 45*u**2. Factor g(q).
(q - 1)*(2*q - 1)*(5*q + 1)/2
Let v(u) be the third derivative of -12*u**2 + 1/720*u**6 + 25/48*u**4 + 0*u + 0 - 3/2*u**3 + 1/24*u**5. Let n(o) be the first derivative of v(o). Factor n(b).
(b + 5)**2/2
Let w(o) = 7*o**2 + 50*o + 82. Let k = 436 + -434. Let q(l) = -50*l**2 - 350*l - 575. Let a(h) = k*q(h) + 15*w(h). Factor a(s).
5*(s + 2)*(s + 8)
Let n(o) be the first derivative of 64*o - 8*o**2 + 1/3*o**3 - 41. Factor n(y).
(y - 8)**2
Let v be ((-7 - -10) + -5)*(-1 - 0). Factor 2*g**2 - 21*g + g**2 - 8*g**v - 18 + 2*g**2.
-3*(g + 1)*(g + 6)
Suppose -3/7*f**4 - 516/7*f - 780/7*f**2 - 267/7*f**3 + 0 = 0. Calculate f.
-86, -2, -1, 0
Determine d so that -257099*d**3 + 151928*d + 258979*d**3 + 197762*d - 5*d**4 - 178585*d**2 = 0.
0, 2, 187
Suppose -72*n = -83*n + 55. Let m(w) be the second derivative of -1/10*w**n + 0 + 6*w + 0*w**2 - 1/3*w**4 - 1/3*w**3. Solve m(r) = 0.
-1, 0
Let g(i) = i**3 - 3*i**2 + 2*i. Let y = 50 - 48. Let u be g(y). What is q in 2/9*q + u + 1/9*q**2 - 1/9*q**3 = 0?
-1, 0, 2
Let t(a) be the third derivative of -a**7/420 - 7*a**6/480 + 241*a**5/240 - 347*a**4/32 + 435*a**3/8 - 4534*a**2 - 2*a. Let t(y) = 0. What is y?
-29/2, 3, 5
Let d be 22/(-154)*2 + (-48)/(-119). What is f in -d*f**2 - 4/17*f + 0 = 0?
-2, 0
Let g(v) = v**4 + v**3 - v. Let j(n) = 336*n**4 + 960*n**3 + 236*n**2 - 958*n - 576. Let z(q) = 2*g(q) + j(q). What is p in z(p) = 0?
-2, -12/13, 1
Let b = -11177 + 11181. Let v(g) be the third derivative of g**2 + 1/24*g**6 + 0*g + 0 - 125/6*g**3 + 175/24*g**b - 11/12*g**5. Determine j so that v(j) = 0.
1, 5
Let c be 2/4 - (-353)/4942. Factor -1/7*w**5 - 1/7*w**3 + 8/7 - 10/7*w**2 + c*w**4 + 4/7*w.
-(w - 2)**3*(w + 1)**2/7
Let u(j) = -22505*j**2 + 720*j - 4. Let h(i) = 33757*i**2 - 1068*i + 6. Let m(d) = 5*h(d) + 7*u(d). What is k in m(k) = 0?
1/75
Let k be (14/(-28))/(((-6)/20)/3) - 3. Let m(t) be the first derivative of 1/9*t**3 - 16 + 49/3*t + 7/3*t**k. Let m(v) = 0. What is v?
-7
Let u(s) be the second derivative of -s**5/60 - s**4/18 - 13*s**2/2 - 32*s + 1. Let t(x) be the first derivative of u(x). Factor t(r).
-r*(3*r + 4)/3
Let n(l) be the second derivative of -l**5/180 - 5*l**4/36 - 25*l**3/18 + 115*l**2/2 - 9*l. Let v(p) be the first derivative of n(p). Let v(b) = 0. What is b?
-5
Let m = 277 + -275. Suppose -l - m*l = l. Let 2/7*f**5 - 6/7*f**3 + l + 2/7*f**4 - 4/7*f - 10/7*f**2 = 0. Calculate f.
-1, 0, 2
Let k(u) = -19*u**3 + 6058*u**2 - 9033*u + 3379. Let x(r) = -10*r**3 + 3028*r**2 - 4515*r + 1689. Let c(z) = -6*k(z) + 13*x(z). Factor c(i).
-(i - 187)*(4*i - 3)**2
Let b(g) be the second derivative of 3*g**5/40 - 71*g**4/8 + 368*g**3 - 5376*g**2 - 47*g. Factor b(u).
3*(u - 32)**2*(u - 7)/2
Let c(z) be the second derivative of 0 - 16*z - 1/2*z**2 + 3/2*z**3 + 5/6*z**4. Let l(r) = 2*r**2 + 2*r. Let i(j) = -2*c(j) + 11*l(j). Factor i(m).
2*(m + 1)**2
Let h(i) = -i**3 + 3*i**2 - 9*i + 16. Let f(v) = -3*v**3 - 54*v**2 + 3*v + 56. Let x be f(-18). Let a be h(x). Factor -2/3*l**a + 0 - 2/3*l.
-2*l*(l + 1)/3
Solve 338806 + 18686 - 8637*d**3 - 279*d**4 - 3*d**5 - 3780*d + 38376*d - 88257*d**2 = 0.
-31, -2, 2
Let o(c) be the third derivative of -c**5/120 + 281*c**4/48 + 47*c**3/2 - 3*c**2 - 99. What is t in o(t) = 0?
-1, 282
Let z(j) = j - 5. Let t(i) = i - 6. Let c(g) = 7*t(g) - 6*z(g). Let x be c(14). What is p in -11*p - 3*p**4 + x*p**4 - 3*p**3 + p**2 + 12*p + 2*p**3 = 0?
-1, 0, 1
Solve -10/9*i**3 + 0 + 2/9*i**4 - 8/9*i + 16/9*i**2 = 0.
0, 1, 2
Let y(k) be the first derivative of 19*k**3 - 117*k**2/4 + 3*k/2 + 1321. Factor y(r).
3*(r - 1)*(38*r - 1)/2
Suppose -10*q + 13*q = 9. Factor -5*f**4 - 18 - 1473*f - 12 - 85*f**2 + 1558*f + 35*f**q.
-5*(f - 3)*(f - 2)*(f - 1)**2
Let y(u) = u**3 + 2*u**2 + 2*u + 1. Let w(s) = 21*s - 5*s + 49*s**2 + 13 - 50*s**2 - 4*s**3. Let m(c) = -2*w(c) - 6*y(c). Factor m(l).
2*(l - 8)*(l + 1)*(l + 2)
Suppose 30*t - 55 = -5*q + 25*t, -5*t = -13*q - 1. Factor q*l**2 - 21/5*l + 12/5*l**3 - 6/5.
3*(l - 1)*(l + 2)*(4*l + 1)/5
Suppose -21 - 7 = -7*j. Let a be j - (2 + -1 + 1). Let -3 - 6*q - q**a - 5*q + 7*q = 0. What is q?
-3, -1
Let i(r) be the second derivative of -r**6/720 + r**5/180 - r**4/144 - 7*r**2 + 2*r - 20. Let x(n) be the first derivative of i(n). Solve x(t) = 0.
0, 1
Solve -159*g**2 + 155*g**2 - 1116*g + 376*g = 0.
-185, 0
Factor -13*o**4 - 3071 + 3086 - 6*o**2 - 3*o**5 + 4*o**4 + 30*o**3 - 27*o.
-3*(o - 1)**3*(o + 1)*(o + 5)
Let u be -3 - ((-8)/8 - 10). Let a be (2/u)/(128/2560). Suppose 0 + 0*r**2 + 10/3*r**4 - 5*r**3 + 5/3*r**a + 0*r = 0. Calculate r.
-3, 0, 1
Let v(l) be the third derivative of 196/57*l**3 + 1/570*l**5 + 0 - 35*l**2 + 0*l - 7/57*l**4. Factor v(w).
2*(w - 14)**2/19
Let q(r) be the second derivative of 0*r**2 + 16*r - 1/30*r**4 + 1/50*r**5 + 0 - 1/105*r**7 + 0*r**3 + 1/75*r**6. Factor q(h).
-2*h**2*(h - 1)**2*(h + 1)/5
Let g(o) = o**3 + 9*o**2 - 5*o + 12. Let k be g(-10). Let h = 42 + k. What is p