actor 432/5 + 3/5*m**w + 72/5*m.
3*(m + 12)**2/5
Let f(k) be the third derivative of 1215/2*k**3 - 45/4*k**4 + 0 + k**2 - 28*k + 1/12*k**5. Determine w so that f(w) = 0.
27
Factor 91*z**3 + 272 + 1188*z**2 + 570 + 2965 - 3*z**4 + 23*z**3 + 1849*z + 1877*z.
-3*(z - 47)*(z + 3)**3
Factor -2*m**2 - 3*m**2 + 168850*m - 168855*m.
-5*m*(m + 1)
Let q(t) be the first derivative of t**5/60 + 17*t**4/9 + 407*t**3/6 + 363*t**2 - 117*t + 200. Let x(p) be the first derivative of q(p). What is u in x(u) = 0?
-33, -2
Determine m, given that 8*m**3 - 400*m - 13*m**3 - 398 - 85*m**2 - 252 + 533 - 203 = 0.
-8, -1
Let t(i) = 2*i**4 + i. Let f(o) be the second derivative of o**6/10 + o**5 + 25*o**4/12 + 3*o**3/2 - 70*o. Let b(p) = f(p) + t(p). Factor b(r).
5*r*(r + 1)**2*(r + 2)
Let h(o) = 27*o + 493. Let n be h(-9). Let c(y) be the first derivative of 10*y**3 + 75*y**2 + n*y + 1 + 1/2*y**4. Determine i, given that c(i) = 0.
-5
Let g be (-5 - (-6 + 533)) + 5. Let w = -1579/3 - g. What is f in -16/3*f + 4*f**2 - w*f**4 + 0*f**3 + 2 = 0?
-3, 1
Let x(h) be the third derivative of h**4 - 1/30*h**5 - 2 - 12*h**3 + 0*h - 13*h**2. Solve x(z) = 0 for z.
6
Let h(o) = -o**3 + 35*o**2 + 2. Let f be h(35). Factor -45*s - 3434*s**f + 12 + 6 + 3441*s**2.
(s - 6)*(7*s - 3)
Let d(s) be the second derivative of s**7/42 - 2*s**6/15 + 3*s**5/20 + s**4/3 - 2*s**3/3 + 3135*s. Determine h so that d(h) = 0.
-1, 0, 1, 2
Suppose 15*t - 13 = 47. Suppose 5*f - 5 = -5*b, -5*f + t = 2*b - 1. Solve -1/2*h**3 + h**2 + b - 1/2*h = 0.
0, 1
Find q such that -274/9*q + 68/9 + 8/9*q**2 = 0.
1/4, 34
Let g(w) be the third derivative of -w**5/10 - w**4/3 + 7*w**3/3 - 369*w**2 - w. Find l, given that g(l) = 0.
-7/3, 1
Let j be (12/(-21))/(72/(-28)). Suppose -174 = -8*x - 174. Find m, given that x - 4/9*m**2 + 0*m - j*m**3 + 10/3*m**4 = 0.
-1/3, 0, 2/5
Let s(v) = -45*v**3 - 3*v**2 + 5*v + 7. Let q be s(-1). Factor 47*i**3 - 144*i**3 + 68*i + q*i**3 - 120 + 49*i**3 + 56*i**2.
-4*(i - 15)*(i - 1)*(i + 2)
Let o(m) = -m**4 + 870*m**3 - 197141*m**2 + 391620*m - 195348. Let d(c) = 2*c**3 + c**2 - c - 2. Let x(p) = 40*d(p) + 5*o(p). Factor x(g).
-5*(g - 442)**2*(g - 1)**2
Let m(t) be the third derivative of -t**6/540 + t**5/27 - 2*t**4/27 - 64*t**3/27 - 5*t**2 + 5*t + 9. Factor m(l).
-2*(l - 8)*(l - 4)*(l + 2)/9
Suppose 3*y = -h + 134 - 44, -6 = 3*y. Let t be 12/h + (-54)/80*-1. Find g, given that t*g - 7/5*g**3 - 3/5*g**5 + 0 + 4/5*g**2 - 2*g**4 = 0.
-2, -1, 0, 2/3
Let l(p) be the second derivative of p**7/28 - 47*p**6/5 + 12969*p**5/20 + 4465*p**4/2 + 9025*p**3/4 + 5159*p. Factor l(c).
3*c*(c - 95)**2*(c + 1)**2/2
Let m(s) be the first derivative of -s**6/33 + 6*s**5/11 + 3*s**4/22 - 94*s**3/33 + 30*s**2/11 - 409. Let m(j) = 0. What is j?
-2, 0, 1, 15
Let z(p) be the third derivative of 961*p**6/720 + 8773*p**5/360 + 70*p**4/9 + p**3 + 32*p**2 + 10. Factor z(c).
(c + 9)*(31*c + 2)**2/6
Factor -444*b - 432*b**2 + 265*b**3 + 872 + 258*b**3 - 519*b**3.
4*(b - 109)*(b - 1)*(b + 2)
Let x be 4 + (4 + -6 - -2). Suppose 5*c = -0*r + 4*r - 6, -4*r - c = -18. Solve -t**4 - 10*t**r - x*t**3 + 7*t**4 = 0 for t.
-1, 0
Let a(y) be the second derivative of -7 + 4*y**2 - 6*y + 2/3*y**4 + 10/3*y**3. Factor a(o).
4*(o + 2)*(2*o + 1)
Let g = 5576 - 334559/60. Let n(c) be the third derivative of g*c**5 + 0 + 0*c**4 - 24*c**2 + 1/210*c**7 + 0*c - 1/60*c**6 + 0*c**3. Factor n(s).
s**2*(s - 1)**2
Suppose -7*m = 3 - 17. Let p be 4 - 0/2 - 4/m. Determine c, given that 2*c**3 + 5*c**3 + c**4 - 1 + p*c - 4*c**3 - 5*c**3 = 0.
-1, 1
Let a = 87 + -75. Factor -4*o - 25*o**4 + 24*o**4 - 4*o - 3 - a*o**2 - 6*o**3 - 2*o.
-(o + 1)**3*(o + 3)
Let q(t) be the second derivative of -7/33*t**7 - 16/55*t**5 + 150 + 0*t**2 + 2*t - 2/33*t**4 - 7/15*t**6 + 0*t**3. Suppose q(d) = 0. What is d?
-1, -2/7, 0
Let z be ((-8)/(-8) - 3)*-116. Let r be z/840 + 4/(-30). Factor 0 + 0*g + r*g**2 - 1/7*g**3.
-g**2*(g - 1)/7
Let l(v) be the first derivative of v**6/72 - 23*v**5/120 + 13*v**4/12 + 79*v**3/3 + 47. Let s(n) be the third derivative of l(n). Let s(h) = 0. Calculate h.
2, 13/5
Let j(l) = 68*l**2 - 68*l - 546. Let z(d) = 75*d**2 - 68*d - 546. Let o(k) = -11*j(k) + 10*z(k). Factor o(m).
2*(m + 13)*(m + 21)
Suppose 350*v + 563*v = -57*v + 1940. Solve -1/3*o**3 - 3*o**v - 5*o - 7/3 = 0 for o.
-7, -1
Let k be (-3)/(-84)*(-162162)/(-2574). Factor -3/2*c - 3/4*c**2 + k.
-3*(c - 1)*(c + 3)/4
Factor 0 + 2*g**4 - 226*g**2 - 105/2*g - 127/2*g**3.
g*(g - 35)*(g + 3)*(4*g + 1)/2
Suppose 104 = -132*p + 184*p. Let c be ((-18)/15)/((-4)/10). Factor -8 - k + 2*k**c + k + p*k**3 - 12*k.
4*(k - 2)*(k + 1)**2
Let c = -73306 - -73308. Factor -15*r**3 - 3/2*r**4 + 9/2*r**c - 294 + 210*r.
-3*(r - 2)**2*(r + 7)**2/2
Let i = 52063 + -52060. Factor 0 + 3/2*x**i + 5/2*x**2 + x.
x*(x + 1)*(3*x + 2)/2
Suppose -23*b + 71*b**2 - 2*b**3 - 94*b - 13*b - 15*b**2 + 76*b**2 = 0. What is b?
0, 1, 65
Let c(z) be the third derivative of z**6/96 + z**5/24 - 167*z**2 - 1. Find l such that c(l) = 0.
-2, 0
Let h(s) be the second derivative of s**8/1008 - 4*s**7/105 - 5*s**6/72 - 108*s**2 + 27*s. Let c(l) be the first derivative of h(l). Factor c(f).
f**3*(f - 25)*(f + 1)/3
Let z(m) be the first derivative of m**7/105 + m**6/20 - m**4/3 + 120*m**2 + m + 66. Let g(u) be the second derivative of z(u). Factor g(i).
2*i*(i - 1)*(i + 2)**2
Let 26/5*q**3 - 12/5 - 48/5*q**2 - 86/5*q = 0. Calculate q.
-1, -2/13, 3
Let l(c) be the first derivative of -7/3*c**4 - 4/5*c**5 - 43 + 2*c**2 - 33*c - 4/3*c**3. Let b(j) be the first derivative of l(j). Find r, given that b(r) = 0.
-1, 1/4
Find y, given that -83*y**2 + 0 + 0*y + 1/2*y**3 = 0.
0, 166
Let t = -10579 - -63475/6. Let h(k) be the first derivative of -50 + t*k**4 + 0*k - 1/3*k**2 + 1/9*k**3 - 1/15*k**5. Factor h(u).
-u*(u - 2)*(u - 1)*(u + 1)/3
Let x(k) = -9*k**2 + 4731*k + 99. Let d(c) = c**2 - 591*c - 12. Let z(r) = -33*d(r) - 4*x(r). Factor z(s).
3*s*(s + 193)
Suppose -12*f = -7*f - 140. Suppose -2*a = -9*a + f. Factor 2*k**5 - 268*k**3 + 2*k - 2*k**4 + 0*k**5 + 264*k**3 + a*k**2 - 2.
2*(k - 1)**3*(k + 1)**2
Let a(z) be the second derivative of 8*z**4/3 + 1832*z**3 + 471969*z**2 + 6659*z. Factor a(y).
2*(4*y + 687)**2
Let r(u) be the second derivative of u**8/2240 - u**6/80 - u**5/20 + u**4/12 + 8*u**3 - 79*u. Let a(b) be the third derivative of r(b). Solve a(k) = 0 for k.
-1, 2
Let g = 3492/7 - 104753/210. Let y(f) be the third derivative of g*f**5 - 1/45*f**7 + 0*f**4 + 29*f**2 + 0*f + 1/45*f**6 + 0*f**3 + 0. Factor y(m).
-2*m**2*(m - 1)*(7*m + 3)/3
Let i(x) be the second derivative of -x**4/12 + 4*x**3/3 - 7*x**2/2 + 3*x - 31. Let q be i(7). What is l in q + 0*l + 2/11*l**2 = 0?
0
Solve -34*d**3 + 249*d**2 + 231*d**2 + 27*d**5 + 6*d - 458*d**2 - 22*d**4 + d**5 = 0.
-1, -3/14, 0, 1
Let c be (1 - (-62)/(-12))/((-40)/240). Factor c*z**2 - 18*z**2 - 2*z**2 + 17*z + 13*z + 25.
5*(z + 1)*(z + 5)
Let -7*u**4 - 20*u**4 - 144*u**3 - 4*u**5 - 4*u**2 - 140*u**2 - 17*u**4 = 0. What is u?
-6, -3, -2, 0
Let w(y) be the third derivative of -y**6/360 - 139*y**5/180 - 275*y**4/72 - 137*y**3/18 + 1344*y**2. Factor w(b).
-(b + 1)**2*(b + 137)/3
Suppose -45 + 41 = -2*f. Factor 21*g**f - 9*g + 2 - 5*g**2 - 9*g**2.
(g - 1)*(7*g - 2)
Let a(i) be the first derivative of 18*i**2 + 12*i - 1/3*i**4 + 38 - 16/3*i**3. Let b(k) be the first derivative of a(k). Factor b(y).
-4*(y - 1)*(y + 9)
Let y(z) be the third derivative of z**8/4200 - z**7/210 - 11*z**6/900 - 5*z**3 - z**2 - 4*z. Let p(j) be the first derivative of y(j). Factor p(x).
2*x**2*(x - 11)*(x + 1)/5
Let z(r) = -16*r**2 - 20*r - 4. Let p = 50 + -48. Let u(d) = -3*d**p + 0*d**2 + 4*d**2 + d. Let w(n) = -4*u(n) - z(n). Factor w(y).
4*(y + 1)*(3*y + 1)
Let u(f) be the third derivative of 0 + 0*f**5 + 0*f**6 + 1/840*f**7 + 0*f + 3*f**3 + 0*f**4 + 24*f**2. Let p(l) be the first derivative of u(l). Factor p(t).
t**3
Let l(k) be the second derivative of -191*k - 2577/25*k**5 + 178/25*k**6 - 1/7*k**7 - 2 - 221/5*k**3 - 1734/5*k**2 + 1172/5*k**4. Find r such that l(r) = 0.
-2/5, 1, 17
Let h be -1 + 4/((-20)/(-185)). Let d = 37 - h. Factor g - 3*g**2 - 3*g**4 + d + 0*g**4 - 5*g**3 + g**4.
-(g + 1)**3*(2*g - 1)
Let w be (570 - 1)/(2 + -3) + 5. Let r = -560 - w. What is h in 3/2*h**r + 0 - 3*h**2 + 0*h - 3/2*h**3 = 0?
-1,