(y) be the third derivative of b(y). Factor j(f).
-2*f*(f - 1)*(5*f - 1)/5
Let d(g) be the first derivative of -2*g**5/15 - g**4/3 + 8*g**3/9 + 8*g**2/3 + 1357. Factor d(j).
-2*j*(j - 2)*(j + 2)**2/3
Let s(x) be the first derivative of -2*x**3/3 - 202*x**2 - 402*x + 19. Factor s(r).
-2*(r + 1)*(r + 201)
Suppose 0 = 2*w + t - 15, -5*w = -99*t + 98*t - 41. Let h(l) be the first derivative of -26 - 6*l**2 + w*l + 2*l**3 - 1/4*l**4. Let h(i) = 0. Calculate i.
2
Suppose -3*x - x = 40. Let n(p) = -3*p - 5*p + 8 - p + p. Let a(k) = -k**2 + 17*k - 16. Let v(h) = x*n(h) - 4*a(h). Factor v(z).
4*(z - 1)*(z + 4)
Let q(z) be the first derivative of 3/5*z**4 - 144/5*z - 102/5*z**2 + 131 + 4/25*z**5 - 52/15*z**3. Suppose q(f) = 0. What is f?
-3, -1, 4
Let s(r) be the third derivative of r**6/420 - 41*r**5/105 - 83*r**4/84 - 505*r**2 + 5*r. Suppose s(y) = 0. Calculate y.
-1, 0, 83
Factor -352 + 4*n**3 + 226*n**2 + 168*n - 240*n**2 + 194*n**2.
4*(n - 1)*(n + 2)*(n + 44)
Suppose 0*n = -5*n + 15. Suppose -5*a + 12 = n*k, k - 5*k - 4 = 0. Factor -a*t - 12*t**3 - 6*t**2 + 18*t**3 - 8*t**3 - t.
-2*t*(t + 1)*(t + 2)
Let w(s) be the second derivative of -s**6/20 + 27*s**5/40 + 11*s**4/8 - 9*s**3/4 - 15*s**2/2 + 1754*s. Suppose w(x) = 0. What is x?
-1, 1, 10
Let d(u) be the first derivative of -48*u**5/5 - 16*u**4 + 172*u**3/3 + 72*u**2 - 144*u + 4809. Solve d(j) = 0.
-2, -3/2, 2/3, 3/2
Let c(s) = 30*s**4 - 195*s**3 - 220*s**2 - 10*s. Let w(v) = -v**4 + 2*v**3 + 2*v**2 + 2*v. Let a(i) = -c(i) - 5*w(i). Factor a(r).
-5*r**2*(r + 1)*(5*r - 42)
Let d(a) be the first derivative of -5*a**4/36 - 40*a**3/9 - 160*a**2/3 - 36*a + 26. Let b(y) be the first derivative of d(y). Determine i, given that b(i) = 0.
-8
Let y(t) be the first derivative of 0*t + 3/2*t**2 + 9/4*t**4 - 3/5*t**5 + 64 - 3*t**3. Find s, given that y(s) = 0.
0, 1
Solve 3*f - 53*f**2 - 4*f**3 - 49*f**2 + 2*f**2 + f + 144*f**2 - 44 = 0.
-1, 1, 11
Let q(t) = -5*t**3 + 42*t**2 - 457*t + 1940. Let y(o) = 9*o**3 - 83*o**2 + 918*o - 3879. Let u(d) = 7*q(d) + 4*y(d). Factor u(w).
(w - 16)*(w - 11)**2
Suppose -4*b + 28 = -5*y, y + 115 = 111. Let p = -3/170 + 771/340. Solve -7/4*i**b + 1/4*i**3 + 15/4*i - p = 0.
1, 3
Suppose 42*r = 25*r - 32555. Let p = 1917 + r. Factor 0*g - 3/4*g**4 + 0*g**p + 9/2*g**3 + 0 - 3/2*g**5.
-3*g**3*(g + 2)*(2*g - 3)/4
Solve 2545*w**2 - 92*w**4 - 75*w**3 - 47916 - 2432*w**2 + 7895*w**2 + 40172*w - 93*w**3 - 4*w**5 = 0.
-11, 1, 9
Let h be 1*9/3*-5. Let w be ((-5)/15)/(h/27). Factor -w*p - 1/5*p**2 - 2/5.
-(p + 1)*(p + 2)/5
Factor -657721/5 + 1621/5*u**2 + 1/5*u**3 + 656099/5*u.
(u - 1)*(u + 811)**2/5
Let j(y) be the first derivative of -1/18*y**4 + 1/9*y**3 + 2/3*y**2 + 11*y + 7. Let k(o) be the first derivative of j(o). Factor k(x).
-2*(x - 2)*(x + 1)/3
Let c(r) be the first derivative of 0*r + 87 + 15/8*r**2 + 1/4*r**3. Determine q so that c(q) = 0.
-5, 0
Let t be 58 + (-67)/((-134)/(-112)). Factor -5/3*a**t + 370/3*a - 6845/3.
-5*(a - 37)**2/3
Let o(i) = -i**3 - 95*i**2 + 781*i + 10973. Let j(b) = -96*b**2 + 782*b + 10974. Let y(q) = -3*j(q) + 2*o(q). Factor y(g).
-2*(g - 28)**2*(g + 7)
Let p(l) be the second derivative of -2*l**6/15 + 74*l**5/5 - 308*l**4 - 11760*l**3 - 450*l. Let p(u) = 0. What is u?
-10, 0, 42
What is s in 5*s**5 - 90*s**2 + 1430*s**2 - 60*s**4 - 1280 - 1885*s**3 + 3765*s**3 - 1885*s**3 = 0?
-4, -1, 1, 8
Let k be 0 + -1 + 16/4. Let c be (-3)/k + (7 - 4). Factor -5*b**4 + 10*b - 11*b + 15*b**c - 7*b - 2*b.
-5*b*(b - 1)**2*(b + 2)
Suppose -750 + 728 = -11*a. Solve 15/2 + 5/2*d + 5/6*d**3 - 25/6*d**a = 0 for d.
-1, 3
Let u(c) be the second derivative of 0 + 5/4*c**4 + 0*c**2 - 125*c - 1/2*c**5 + 5/3*c**3. Factor u(n).
-5*n*(n - 2)*(2*n + 1)
Let k(z) be the first derivative of -10*z + 5/3*z**3 - 5/2*z**2 - 65. Factor k(l).
5*(l - 2)*(l + 1)
Let q(h) be the third derivative of -h**5/60 + 15*h**4/8 + 23*h**3/3 - h**2 + 6*h - 15. Factor q(d).
-(d - 46)*(d + 1)
Let i(o) be the first derivative of 4*o**5/5 + o**4 - 904*o**3/3 + 2752*o**2 - 4608*o + 7826. Determine s, given that i(s) = 0.
-18, 1, 8
Let k = 10/35881 + 143494/107643. Let s = 2657/498 - 1/498. Determine w, given that -20/3*w**2 + k*w**3 - s + 32/3*w = 0.
1, 2
Let y(r) be the second derivative of -r**7/84 + r**6/10 + 3*r**5/40 - 7*r**4/3 + 4*r**3 - 211*r. Suppose y(w) = 0. Calculate w.
-3, 0, 1, 4
Let p(i) = i**2 + 35*i - 19. Let c be p(-36). Suppose -c*q = 20*q + 15*q. Let 2/13*o**5 + q*o + 6/13*o**4 + 2/13*o**2 + 0 + 6/13*o**3 = 0. What is o?
-1, 0
Let p(v) be the second derivative of -v**5/20 + 5*v**4/12 + v**3/6 - 5*v**2/2 + 8*v. Let o be p(5). Find s such that -2 - 16*s + o + 2 - 4*s**2 = 0.
-4, 0
Let j(o) = o**5 + o**4 + 2*o**3 + 4*o**2 + o - 1. Let y(c) = 150*c**4 + 645*c**3 + 835*c**2 + 335*c - 5. Let l(b) = -5*j(b) + y(b). Find s, given that l(s) = 0.
-2, -1, 0, 33
Let -3/2*a**4 + 0*a**2 - 5/2*a**5 + 0 + 0*a + a**3 = 0. What is a?
-1, 0, 2/5
Suppose -1/3*p**3 - 1124856*p - 3673/3*p**2 - 1123632 = 0. What is p?
-1836, -1
Let v = 1670 - 8348/5. Suppose v*n**2 - 72/5*n + 648/5 = 0. Calculate n.
18
Let n(z) be the first derivative of -2*z**3/21 + 335*z**2/7 + 96*z + 1457. Let n(s) = 0. Calculate s.
-1, 336
Suppose -6*w = -u - 5*w + 9, -6 = -4*u - 2*w. Factor -9*c**3 - 27*c - 147*c**u + 90*c**2 + 9*c**2 - 12*c**3.
-3*c*(c + 1)*(7*c - 3)**2
Let k(g) be the second derivative of -2*g**5/5 - g**4/3 + 44*g**3/3 + 42*g**2 + 1247*g. Determine b, given that k(b) = 0.
-3, -1, 7/2
Suppose -4*p + 191 = 3*r + 123, -3*r + 3*p = -33. Suppose 3*y - 5*b + r = 0, -16*b = -3*y - 18*b + 19. Suppose 13/3*x**2 + 1/3*x**y + 16*x + 12 = 0. What is x?
-6, -1
Let o(x) = x**4 + x**3 + x**2. Let i(w) = 5*w**4 + 60*w**3 + 145*w**2 + 140*w + 40. Let y = 253 - 258. Let z(a) = y*o(a) - i(a). Find l, given that z(l) = 0.
-2, -1/2
Let b(l) be the first derivative of -5*l - 1/18*l**3 + 0*l**2 + 11 - 1/36*l**4. Let d(k) be the first derivative of b(k). Solve d(w) = 0.
-1, 0
Let i be (464/240 - 2/6)*75/4. Let j(z) be the first derivative of -115/2*z**2 + i*z + 8 + 5*z**4 - 25/3*z**3. Solve j(f) = 0 for f.
-2, 1/4, 3
Let q(l) be the first derivative of -109*l**3/2 - 321*l**2/4 + 3*l + 5735. Determine z so that q(z) = 0.
-1, 2/109
Let y(c) be the second derivative of -c**4/42 - 55*c**3/21 - 54*c**2/7 - 31*c - 2. Factor y(r).
-2*(r + 1)*(r + 54)/7
Let k = 2 + 1. Let f be (-125)/((-625)/30)*(-1)/(-3). Let 0 - 2/11*m**k - 6/11*m**f - 4/11*m = 0. Calculate m.
-2, -1, 0
Suppose 4*p + 1 = -5*b, 3*p - 22 = -2*b + 7*p. Suppose -3 = -2*t + b*f, 28*t - 30*t + 4*f = -4. What is r in t + 8/3*r**2 - 4/3*r - 4/3*r**3 = 0?
0, 1
Let r(d) be the third derivative of -2 - 69/5*d**5 - 33*d**2 - 1/1575*d**7 - 34/225*d**6 - 540*d**4 - 2025*d**3 + 0*d. What is y in r(y) = 0?
-45, -1
Let g(d) be the first derivative of 2*d**5/55 - 1478*d**4/11 + 2184484*d**3/11 - 1614333676*d**2/11 + 596496293282*d/11 - 887. Let g(y) = 0. Calculate y.
739
Let g be ((-16)/(-42))/((-1924)/(-3367)). Let w(p) be the second derivative of 11/60*p**5 + 2/45*p**6 + 34*p + g*p**2 - 1/12*p**4 + 0 - 8/9*p**3. Factor w(h).
(h - 1)*(h + 2)**2*(4*h - 1)/3
Factor 54*w**2 - 27/2*w**3 + 0*w + 0 - 3/2*w**4.
-3*w**2*(w - 3)*(w + 12)/2
Let f(h) be the first derivative of -2*h**5/45 - 5*h**4/6 + 76*h**3/9 - 244*h**2/9 + 112*h/3 + 1529. Factor f(a).
-2*(a - 2)**3*(a + 21)/9
Factor -104/3 - 16/3*o**2 - 122/3*o + 2/3*o**3.
2*(o - 13)*(o + 1)*(o + 4)/3
Suppose -115 = -5*q + 4*z, 132*q - 130*q - 3*z = 39. Let o(w) be the first derivative of 3/2*w - q - 7/8*w**3 - 9/4*w**2. Factor o(m).
-3*(m + 2)*(7*m - 2)/8
Let g(z) = 3*z**2 + 290*z - 20. Let i(p) = 2*p**2 + 290*p - 16. Let u(s) = -4*g(s) + 5*i(s). Let u(a) = 0. Calculate a.
0, 145
Let o(t) be the first derivative of 1/40*t**5 - 198 - 1/16*t**2 + 0*t + 1/32*t**4 - 1/24*t**3. Determine d, given that o(d) = 0.
-1, 0, 1
Find r such that 33800 + 1/2*r**3 + 34060*r + 521/2*r**2 = 0.
-260, -1
Determine l so that -1316/3 - 4/3*l + 1316/3*l**2 + 4/3*l**3 = 0.
-329, -1, 1
Let c(q) be the first derivative of -q**3 - 21/2*q**4 + 0*q + 3/5*q**5 + 147 + 21*q**2. Solve c(u) = 0 for u.
-1, 0, 1, 14
Let m(y) = -y**3 + 12*y - 12. Let b(d) = 79 + 71 - 151. Let a(h) = -4*b(h) - m(h). Let u(r) be the first derivative of a(r). Let u(q) = 0. What is q?
-2, 2
Let -78/11 - 4/11*w**