e first derivative of -2/13*i**3 - 1/26*i**4 - 24/13*i + 16/13*i**2 - 56. Factor l(x).
-2*(x - 2)*(x - 1)*(x + 6)/13
Let t(u) be the second derivative of -u**4/36 + 11*u**3/2 + 101*u**2/3 + 2178*u + 2. Determine v, given that t(v) = 0.
-2, 101
Let h(u) be the first derivative of 3*u**3 + 93 + 21/8*u**4 + 3/10*u**5 + 0*u**2 + 0*u. Determine k so that h(k) = 0.
-6, -1, 0
Let i(x) be the third derivative of -x**6/90 - 8*x**5/15 - 5*x**4/2 - 20*x**3 + 50*x**2 - 2*x. Let u(b) be the first derivative of i(b). Factor u(v).
-4*(v + 1)*(v + 15)
Let s be (-17)/3 + 4 + (-837)/(-618). Let l = -15/103 - s. What is k in 1/6 - l*k**2 + 1/6*k**3 - 1/6*k = 0?
-1, 1
Let a be 3/(-4)*((-1)/(-8) - 2775/12600). Let x(o) be the third derivative of 5/21*o**3 + 0 - 12*o**2 + 0*o - a*o**4 + 1/210*o**5. Factor x(g).
2*(g - 5)*(g - 1)/7
Let d(h) be the first derivative of h**7/42 + h**6/5 + 3*h**5/5 + 2*h**4/3 + 7*h - 77. Let u(y) be the first derivative of d(y). Solve u(s) = 0 for s.
-2, 0
Let p(z) be the first derivative of 3*z**6/14 - 183*z**5/35 + 783*z**4/28 - 311*z**3/7 - 108*z**2/7 + 540*z/7 + 1579. Find h, given that p(h) = 0.
-2/3, 1, 2, 3, 15
Let o(r) = r**2 - 294*r + 24. Let d(s) = -3*s**2 + 587*s - 42. Let t(m) = -4*d(m) - 7*o(m). Factor t(w).
5*w*(w - 58)
Let w(y) = -8*y**3 + 132*y**2 + 1452*y + 5328. Let h(x) = 5*x**3 - 132*x**2 - 1452*x - 5327. Let a(q) = 4*h(q) + 3*w(q). Factor a(v).
-4*(v + 11)**3
Let f(p) = -7*p**2 - 66*p + 70. Let w(q) = -q**2 - 9*q + 1. Let i(d) = -f(d) + 6*w(d). Suppose i(n) = 0. What is n?
-16, 4
Factor -1/10*v**2 + 69/2 - 4/5*v.
-(v - 15)*(v + 23)/10
Suppose 177/2*f**2 + 63/4*f**3 + 201/4*f + 15/2 = 0. What is f?
-5, -1/3, -2/7
Let m(i) be the second derivative of -i**6/120 + 7*i**4/8 + 8*i**3/3 - 105*i**2/8 + i + 2142. Suppose m(b) = 0. What is b?
-5, -3, 1, 7
Let x(d) be the third derivative of d**7/840 + d**6/120 - d**5/5 + 35*d**4/24 - 85*d**2. Let w(k) be the second derivative of x(k). Suppose w(o) = 0. What is o?
-4, 2
Let l be (-4*4/(-16))/((-1)/(-12)). Let d = l - 10. Determine x, given that 2*x**2 + 4*x**3 - 2*x**4 + d*x**5 + 3*x**3 - 8*x**3 - x**3 = 0.
-1, 0, 1
Let z(n) be the first derivative of n**4/4 - 25*n**3 + 109*n**2 - 144*n - 2963. Let z(c) = 0. Calculate c.
1, 2, 72
Let o(b) be the third derivative of b**6/135 - 11*b**5/135 - 7*b**4/18 + 20*b**3/3 + b**2 - 211. Solve o(g) = 0 for g.
-3, 5/2, 6
Find t, given that -140*t**2 - 7553*t - 55*t**3 + 30*t**2 + 8033*t + 1440 - 5*t**4 = 0.
-6, -4, 3
Let c(f) = 14*f**2 + 20*f + 14. Let t = 5 + -14. Let z be 28/12 - 6/t. Let m(i) = -5*i**2 - 7*i - 5. Let x(k) = z*c(k) + 8*m(k). Let x(v) = 0. Calculate v.
-1
Solve -3*w**3 + 2*w**4 - w**4 - 433*w**2 + 16*w - 3*w**4 - 3*w**3 + 445*w**2 = 0.
-4, -1, 0, 2
Let f = 582098/363805 - 2/72761. Factor -20*d**2 + 0 + f*d.
-4*d*(25*d - 2)/5
Let i(b) be the first derivative of b**6/18 - 2936*b**5/15 + 478731*b**4/2 - 935438416*b**3/9 - 938313739*b**2/6 + 5927. Factor i(g).
g*(g - 979)**3*(g + 1)/3
Suppose -5*q - 5*t = 5, 5*q - 4*q - 19 = 3*t. Let f(j) = 3*j**3 - 3*j**2 + 3*j - 1. Let p be f(1). Factor -1 - 4*u + 0 + 2 + q*u**p - 9.
4*(u - 2)*(u + 1)
Factor -220218*o - 1215/2*o**3 - 20349*o**2 + 176868 - 6*o**4.
-3*(o + 34)**3*(4*o - 3)/2
Let x(g) be the first derivative of g**4/10 + 8*g**3/15 + g**2/5 - 12*g/5 - 1670. Factor x(b).
2*(b - 1)*(b + 2)*(b + 3)/5
Factor 25/3*k**2 + 2/3*k**3 - 4 + 11/3*k.
(k + 1)*(k + 12)*(2*k - 1)/3
Let k be ((-1)/(-7))/(12/14). Let d be 1196/184 - -4*(-20)/32. What is m in -1/3*m**2 + 1/6*m + k*m**5 - 1/3*m**3 + 1/6*m**d + 1/6 = 0?
-1, 1
Let w(v) be the second derivative of -3*v**5/35 - v**4 - 14*v**3/3 - 13*v**2 + 9*v + 3. Let u(l) be the first derivative of w(l). Factor u(x).
-4*(3*x + 7)**2/7
Suppose -8 - 12 = -4*i, -h = -2*i + 6. Let o(c) = -c**2 - 18*c - 4. Let w(a) = a - 1. Let t(z) = h*w(z) - o(z). Let t(f) = 0. Calculate f.
-22, 0
Let u(o) be the third derivative of o**8/280 + 13*o**7/175 + 9*o**6/100 - 41*o**5/50 - 31*o**4/10 - 24*o**3/5 + 21*o**2 + 17*o. Solve u(a) = 0.
-12, -1, 2
Let i(j) be the first derivative of -1/13*j**4 + 1/39*j**6 + 1/13*j**2 + 4/39*j**3 - 2/65*j**5 - 2/13*j + 25. Factor i(h).
2*(h - 1)**3*(h + 1)**2/13
What is l in 664/5*l - 1/5*l**2 - 110224/5 = 0?
332
Suppose 162/7*s + 316/7 + 2/7*s**2 = 0. What is s?
-79, -2
Suppose 410*c + 215*c**4 - 696*c**2 - 1108*c + 195*c**4 - 233 - 230*c**3 - 409*c**4 = 0. What is c?
-1, 233
Let z = -39632 + 39637. Let x(y) be the second derivative of 1/2*y**z - 43*y + 0 - 20/3*y**3 - 9/2*y**4 + 12*y**2. Determine c, given that x(c) = 0.
-1, 2/5, 6
Let z(x) be the third derivative of -x**8/3360 + 2*x**6/45 + 11*x**4/12 - x**3/3 - 34*x**2 + 3*x. Let j(w) be the second derivative of z(w). Factor j(h).
-2*h*(h - 4)*(h + 4)
Let j(v) = -v**2 - 13*v + 92. Let z be j(-18). Suppose 0 = z*c + 3968 - 3976. Let 5*y + 0 - 1/5*y**c - 9/5*y**3 - 3*y**2 = 0. What is y?
-5, 0, 1
Let a(m) be the second derivative of m**4/12 + 38*m**3/3 + 219*m**2/2 - 868*m. Solve a(b) = 0.
-73, -3
Let i(n) = -n**3 - 2*n**2 - 1. Let z(j) = 2*j**3 + 1324*j**2 + 3. Let l(s) = -3*i(s) - z(s). Solve l(m) = 0 for m.
0, 1318
Suppose 25*h - 5*h = 400. Suppose u + 29 - 27 = 0, 0 = -5*p + 5*u + h. Factor 24/7*m**2 - p*m**3 + 8/7*m + 0.
-2*m*(m - 2)*(7*m + 2)/7
Let z(i) be the third derivative of i**8/10080 - i**7/900 + i**6/225 - 11*i**5/15 + 104*i**2. Let m(k) be the third derivative of z(k). Let m(y) = 0. What is y?
4/5, 2
Suppose 5*d + 2954 = 2964. Suppose -25 = -d*v - 3*l, 42*l = v + 37*l + 20. Factor 18/7*p - 48/7*p**2 + 44/7*p**3 - 16/7*p**4 + 0 + 2/7*p**v.
2*p*(p - 3)**2*(p - 1)**2/7
Let j(f) = -8*f**4 - 12*f**3 - 139*f**2 - 243*f - 123. Let o(c) = 13*c**4 + 17*c**3 + 208*c**2 + 364*c + 184. Let n(q) = 8*j(q) + 5*o(q). Factor n(u).
(u - 16)*(u + 1)*(u + 2)**2
Let r(a) = a**2 - a - 1. Let b(o) be the first derivative of -2*o**3 - 4*o**2 + 7*o - 131. Let s(f) = -b(f) - 3*r(f). Factor s(l).
(l + 4)*(3*l - 1)
Let q(p) be the third derivative of -p**7/6 + 79*p**6/24 - 89*p**5/4 + 1225*p**4/24 - 125*p**3/3 - 1864*p**2. What is h in q(h) = 0?
2/7, 1, 5
Let y(f) be the third derivative of f**8/1680 - f**7/105 + 7*f**6/150 - f**5/50 - 3*f**4/8 + 2*f**2 - 145. Factor y(c).
c*(c - 5)*(c - 3)**2*(c + 1)/5
Suppose 0 = 4*b + n - 77, 0 = 2*b - 5*n + 37 - 92. Solve 156 - 16*p - p**4 - 20*p**2 - 4*p**5 - 140 + b*p**3 + 8*p**4 - 3*p**4 = 0 for p.
-2, -1, 1, 2
Let n(c) = c**2 - 185*c + 6667. Let g be n(49). Factor 4/3 - 2*z**2 - 2/3*z + 2/3*z**4 + 2/3*z**g.
2*(z - 1)**2*(z + 1)*(z + 2)/3
Factor 114/5*z**2 + 22/5*z**3 + 24/5 + 152/5*z.
2*(z + 2)*(z + 3)*(11*z + 2)/5
Let f(z) be the second derivative of 2/3*z**4 + 20/3*z**2 - 1/180*z**6 + 13*z + 1/30*z**5 + 0 + 28/9*z**3. Factor f(q).
-(q - 10)*(q + 2)**3/6
Let t(r) be the first derivative of 10*r**3/3 - 555*r**2/2 - 280*r + 353. Factor t(i).
5*(i - 56)*(2*i + 1)
Let g = -902 + 906. Solve 183*y - 34 + 98 - 982*y**3 + 43*y**5 + 1048*y**2 - 623*y + 7*y**5 + 260*y**g = 0 for y.
-8, 2/5, 1
Let j(m) be the third derivative of m**8/1680 + 2*m**7/105 + m**6/6 + 5094*m**2. Suppose j(t) = 0. What is t?
-10, 0
Suppose 14*i + 25 = 184 - 89. Solve 0*m - 8/11*m**3 + 6/11*m**2 + 0 - 2/11*m**4 + 4/11*m**i = 0 for m.
-3/2, 0, 1
Suppose -4*r + 54*r - 200 = 0. Suppose 3/7*q**5 + 12/7*q + 0*q**r + 0*q**2 + 0 - 15/7*q**3 = 0. Calculate q.
-2, -1, 0, 1, 2
Let k = -312 + 320. Let g(u) = 18*u**3 + 8*u**2 - 2*u - 24. Let t(z) = -2*z**3 + z**2 + 1. Let a(p) = k*t(p) + g(p). Suppose a(d) = 0. What is d?
-8, -1, 1
Let n(h) = -12*h - 18*h + 3758 - 3754. Let f be n(0). Suppose f + 8/3*r - 4/3*r**2 = 0. Calculate r.
-1, 3
Let y be (-37)/((-2775)/50)*(6/(-16))/(-1). Let -1/8*n**2 - 1/8 + y*n = 0. Calculate n.
1
Let w(u) be the third derivative of 17*u**5/330 - 569*u**4/66 - 67*u**3/33 + 163*u**2 - 1. Factor w(t).
2*(t - 67)*(17*t + 1)/11
Let b(w) be the first derivative of 0*w**2 + w**3 + 32 + 0*w - 7/10*w**5 - 19/8*w**4. Find t, given that b(t) = 0.
-3, 0, 2/7
Let t(v) be the first derivative of -11*v**6/75 - 9*v**5/50 + 4*v**4/5 - 4*v**3/15 + 63*v + 8. Let x(h) be the first derivative of t(h). Solve x(a) = 0.
-2, 0, 2/11, 1
Factor 590523152 - 1019*y**3 - 20561772*y + 2768521700 + 5612741664 + 1015*y**3 + 15708*y**2.
-4*(y - 1309)**3
Let f(b) = 3*b**3 + 49*b**2 + 100*b + 45. Let i