e first derivative of 4*k**3/3 - 64*k**2 - 420*k + 1062. Factor d(x).
4*(x - 35)*(x + 3)
Let k(d) be the first derivative of 0*d**2 + 1/3*d**3 + 19 - 1/6*d**4 - 17*d. Let z(w) be the first derivative of k(w). Factor z(x).
-2*x*(x - 1)
Find a such that 4019679/4 - 75843/4*a - 1/4*a**3 + 477/4*a**2 = 0.
159
Suppose -30*p + 4*w = -25*p + 32, 4*p = -w + 8. Let c(o) be the third derivative of p*o + 1/3*o**4 + 0*o**3 + 0 - 1/15*o**5 + 27*o**2. Factor c(h).
-4*h*(h - 2)
Let h(w) be the first derivative of 1/10*w**4 + 172 + 3/5*w**2 + 0*w - 8/15*w**3. Let h(a) = 0. What is a?
0, 1, 3
Let l be 0/(2 + 15/(-6) + 39/26). Let x(d) be the third derivative of -2/3*d**3 + 0 + 11*d**2 - 1/8*d**4 + 1/60*d**5 + l*d. Determine u, given that x(u) = 0.
-1, 4
Let t(o) be the third derivative of -27*o**7/245 - 327*o**6/35 - 27722*o**5/105 - 47960*o**4/21 - 193600*o**3/21 + 100*o**2 - 8*o. Factor t(g).
-2*(g + 22)**2*(9*g + 20)**2/7
Determine d, given that -16*d**2 - 32*d**2 + 102*d**4 - 90*d**4 + 12*d - 4*d**3 + d**3 = 0.
-2, 0, 1/4, 2
Let b(j) = -24*j**4 + 21*j**3 + 40*j**2 + 6*j + 132. Let w(z) = -6*z**4 + 5*z**3 + 10*z**2 + 2*z + 36. Let l(t) = 6*b(t) - 22*w(t). Suppose l(x) = 0. What is x?
-1, 0, 1/3, 2
Let x(l) = -17*l**4 - 144*l**3 + 25*l**2 + 547*l - 797. Let f(k) = 4*k**4 + 34*k**3 - 6*k**2 - 137*k + 199. Let z(j) = 26*f(j) + 6*x(j). Factor z(w).
2*(w - 2)**2*(w + 7)**2
Let q be (-15 + 16 - (3 + -1))*6. Let a be (q + (-140)/(-21))*3. Factor -50/3 - 2/3*s**a + 20/3*s.
-2*(s - 5)**2/3
Let r(q) be the first derivative of -q**3/6 - 5*q**2/2 + 171*q/2 + 144. Determine k, given that r(k) = 0.
-19, 9
Let l = -49209/118 + 417. Let i = 1189/354 + l. Factor -i*a + 0 + 5/6*a**2.
5*a*(a - 4)/6
Let g(m) = 5*m**3 + 92*m**2 - 495*m - 1358. Let l(k) = -3*k**3 - 90*k**2 + 495*k + 1356. Let v(b) = -3*g(b) - 4*l(b). Let v(i) = 0. Calculate i.
-2, 15
Let a = -14536/2219631 + -2/2697. Let g = a + 2511/5761. Factor -3/7*n**3 - 9/7*n - 15/7*n**2 + g*n**4 + 0.
3*n*(n - 3)*(n + 1)**2/7
Suppose 580 = -2*k + 608, 0 = 4*b + k - 22. Factor 3/2*v**b - 39*v - 81/2.
3*(v - 27)*(v + 1)/2
Let f = -4694 - -5099. Let b(w) be the first derivative of 5/4*w**4 + 95/3*w**3 + 495/2*w**2 - 5 + f*w. Find v, given that b(v) = 0.
-9, -1
Let i(w) = 2*w**3 + w**2. Let z(b) = 15*b**3 - 9324*b**2 - 6221*b - 1037. Let m(v) = 6*i(v) - 2*z(v). Solve m(t) = 0.
-1/3, 1037
Let z(l) = l**3 - 13*l**2 + 13*l - 12. Let k be z(12). Solve 0*j**3 + 10*j**4 - 5*j**2 + 3*j**2 - 8*j**4 + k*j**3 = 0.
-1, 0, 1
Let n(y) = 9*y**3 - 21*y**2 + 45*y + 42. Let h(v) = 5*v**3 - 11*v**2 + 23*v + 21. Let o(s) = -11*h(s) + 6*n(s). Find m, given that o(m) = 0.
-7, -1, 3
Let s be (289/(-323) - -1) + (-72)/(-38). Factor 0 + 2/5*u**4 + 8/5*u**3 - 12/5*u + 2/5*u**s.
2*u*(u - 1)*(u + 2)*(u + 3)/5
Let z(y) be the second derivative of y**4/3 - 86*y**3/3 + 780*y**2 - 1599*y. Let z(s) = 0. What is s?
13, 30
Find r, given that 476100/13 - 2/13*r**5 - 292/13*r**4 - 77456/13*r**2 - 33810/13*r - 11740/13*r**3 = 0.
-69, -5, 2
Let k = -1091/180 - -91/15. Let j(v) be the third derivative of -1/36*v**4 + 10*v**2 + 0 + k*v**6 + 0*v + 1/945*v**7 + 1/270*v**5 - 2/27*v**3. Factor j(a).
2*(a - 1)*(a + 1)**2*(a + 2)/9
Let t(n) be the first derivative of n**5/100 - n**4/8 - 12*n**3/5 + 62*n**2 + 213. Let l(s) be the second derivative of t(s). Determine g so that l(g) = 0.
-3, 8
Let o = 14003 - 14001. Solve 1/4*g**3 + 1/4*g**o + 0*g + 0 = 0.
-1, 0
Find p, given that 2/11*p**2 - 72/11 - 10/11*p = 0.
-4, 9
Let d(w) be the first derivative of -2/3*w**2 + 2*w + 2/9*w**4 - 14 + 1/9*w**3 - 1/10*w**5. Let i(f) be the first derivative of d(f). Factor i(m).
-2*(m - 1)**2*(3*m + 2)/3
Let y(o) = -11*o**2 - 43 + 6*o**2 + 20 + o**3 - 20*o**2 + o. Let g be y(25). Determine b so that 9/5 + 12/5*b + 3/5*b**g = 0.
-3, -1
Solve -7*g**2 + 446*g + 0*g**2 - 1875 - 4683*g + 665 = 0.
-605, -2/7
Suppose l - 66 = -5*p + p, 2*p = -l + 68. Suppose 20 = 4*q, -4*a + q = -q - l. What is h in 0*h**3 - 13*h**3 - a*h**4 + 5*h**3 = 0?
-2/5, 0
Solve -1/6*t**2 + 135/2 - 6*t = 0.
-45, 9
Let d(h) = 4*h + 168. Let i be d(-27). Let g be (-1 + -8)*i/(-4590). Factor 0*m**2 + 0*m + 0 - g*m**3.
-2*m**3/17
Let 0 + 49/2*p + 1/2*p**2 = 0. Calculate p.
-49, 0
Let i be (-85)/180 - (-8)/(224/21). Let v(c) be the second derivative of 7/9*c**3 - i*c**4 + 1/30*c**5 - 4*c - c**2 + 0. Factor v(l).
2*(l - 3)*(l - 1)**2/3
Determine o so that -2/3*o**2 + 172 - 514/3*o = 0.
-258, 1
Let i be (397 - 2) + -1 + 1. Suppose -189 = 3*c - 6*c - 6*c. Factor -4*t**3 + c - 5 + i*t - 379*t - t**4.
-(t - 2)*(t + 2)**3
Let m(r) be the second derivative of r**5/5 - 12*r**4 + 298*r**3/3 + 372*r**2 - 1226*r. Factor m(n).
4*(n - 31)*(n - 6)*(n + 1)
Let m = -10279/30 + 1714/5. Let o(r) be the second derivative of 0 + m*r**4 + 1/2*r**2 + 20*r - 1/2*r**3. Determine h, given that o(h) = 0.
1/2, 1
Suppose -573*i**2 - 577*i**2 + 31 - 582*i**2 + 1731*i**2 + 30*i = 0. What is i?
-1, 31
Let w(k) be the first derivative of -2*k**6/9 + 8*k**5/5 + 8*k**4/3 - 8*k**3/3 - 14*k**2/3 + 5213. Suppose w(g) = 0. Calculate g.
-1, 0, 1, 7
Factor -31*k + 344 + 212*k + 476 + 672*k - 31*k + 2*k**2.
2*(k + 1)*(k + 410)
Find j, given that 20412*j**3 + 507*j**4 - 171*j**5 - 19710*j**3 - 23*j**2 + 47*j**2 = 0.
-1, -2/57, 0, 4
Find c, given that -4/7*c - 18*c**4 - 36/7*c**2 + 0 - 7*c**5 - 109/7*c**3 = 0.
-1, -2/7, 0
Let y be 2/(-1)*1662/45*9. Let m = -664 - y. Suppose 4/5*f**3 + 0 - 14/5*f**2 + 14/5*f**4 - m*f = 0. What is f?
-1, -2/7, 0, 1
Let u(y) = -y**2 + 36*y - 95. Let x be u(0). Let r = x + 97. Solve 0*i**3 - 8/5 + 0*i - 2/5*i**4 + 2*i**r = 0 for i.
-2, -1, 1, 2
Let k(a) be the first derivative of -2*a**3/33 - 161*a**2/11 - 1540. What is w in k(w) = 0?
-161, 0
Let u(o) = 22*o - 1888. Let n be u(86). Suppose -2/11*g**n + 6/11*g**3 + 0 + 2/11*g**2 - 6/11*g = 0. What is g?
-1, 0, 1, 3
Factor 244*t - 152 + 1198 + 4*t**2 + 1154.
4*(t + 11)*(t + 50)
Let k(n) be the third derivative of 1/6*n**5 + 0*n - 25/24*n**4 + 5/2*n**3 + 8*n**2 - 11. Factor k(c).
5*(c - 1)*(2*c - 3)
Factor -4/3*m**3 - 56/9*m**2 + 10*m + 2/9*m**5 + 4/3*m**4 - 4.
2*(m - 1)**3*(m + 3)*(m + 6)/9
Let j(a) be the third derivative of a**5/12 + 125*a**4/24 + 95*a**3 + 664*a**2. Factor j(z).
5*(z + 6)*(z + 19)
Factor -850*c**3 - 47*c + 385*c + 10*c + 420 + 57*c**2 + 844*c**3.
-3*(c - 14)*(c + 2)*(2*c + 5)
Let s(y) be the second derivative of -y**6/50 + 27*y**5/100 + y**4/2 - 616*y. Find o, given that s(o) = 0.
-1, 0, 10
Factor -5799/7*i**3 - 258/7*i**4 + 0 - 756*i - 3/7*i**5 - 1548*i**2.
-3*i*(i + 1)**2*(i + 42)**2/7
Let w be (-30)/(-45) - (-86)/6. Let m be 72/15 + 3/w. Suppose m*l**2 + l**3 - 3*l**3 - l**4 + 17*l**5 - 16*l**5 - 3*l**3 - 4 + 4*l = 0. Calculate l.
-2, -1, 1, 2
Let i(n) be the first derivative of -8/5*n**2 - 21 - 24/5*n - 2/15*n**3. Suppose i(v) = 0. What is v?
-6, -2
Let s be ((12/(-80))/(270/150))/((-2)/3). Let o(u) be the first derivative of 1/16*u**4 + 25 - 3/4*u + 1/4*u**3 - s*u**2. Factor o(d).
(d - 1)*(d + 1)*(d + 3)/4
Suppose d + 3*b + 44 = 27, 4*b + 40 = -2*d. Let f be (d/12 - -2) + (-494)/(-84). Determine k so that 0 - 10/7*k**4 + f*k**2 + 16/7*k - 4/7*k**3 = 0.
-2, -2/5, 0, 2
Let l(y) be the third derivative of -y**8/336 - y**7/70 + y**6/60 + y**5/5 + y**4/3 + 2351*y**2. Let l(b) = 0. What is b?
-2, -1, 0, 2
Find j such that 4*j**4 + 28*j**3 - 3 + 31*j**2 - 127*j**2 + 100*j - 22 - 2*j**4 - 9 = 0.
-17, 1
Let t(o) be the third derivative of -11/18*o**4 + 63*o**2 + 0*o - 31/360*o**6 + 0 + 8/9*o**3 - 2/5*o**5 - 2/315*o**7. Find w, given that t(w) = 0.
-4, -2, 1/4
Let w(d) be the third derivative of -1/80*d**6 + 0*d + 0*d**3 - 1/16*d**4 + 1/20*d**5 + 0 - 108*d**2. Suppose w(u) = 0. Calculate u.
0, 1
Let 593*p**2 - p**4 + 4*p**3 + 484*p**2 - 1078*p**2 - 6*p = 0. Calculate p.
-1, 0, 2, 3
Let x = -17 + 19. What is u in -1 - 24*u**x - 5 + 6*u**3 + 21*u - 3*u**5 - 23*u**4 + 29*u**4 = 0?
-2, 1
Let i(y) = 2*y**3 - 9*y**2 - 15*y - 16. Let l be i(6). Factor 7*u + 42 + 22*u**2 + 54*u - u**3 - 4*u**l.
-(u - 21)*(u + 1)*(u + 2)
Let j(u) be the first derivative of u**5/5 + 3*u**4/2 + 5*u**3/3 - 6*u**2 + 437. Factor j(s).
s*(s - 1)*(s + 3)*(s + 4)
Let k be (-1)/7 - (8184/(-448) - (-81 - -63)). Factor -k*q**3 + 45/4*q**2 - 675/2*q + 3375.
-(q - 30)**3/8
Let o = 56361 + -507247/9. Factor -o*v**