0/13*l**2 + 2785290/13*l + 935700/13*l**3 - 927522/13 - 210*l**4 + 2/13*l**5 = 0. Calculate l.
1, 681
Let a(j) be the third derivative of 17/18*j**4 - 16/315*j**7 - 8/9*j**3 - 18*j + 0 + 2*j**2 + 11/45*j**6 + 1/252*j**8 - 28/45*j**5. Factor a(g).
4*(g - 4)*(g - 1)**4/3
Let n(y) = -15*y**3 + 456*y**2 - 18717*y + 35562. Let v(r) = -2*r**3 - 2*r**2 - r - 2. Let s(t) = n(t) - 6*v(t). Factor s(b).
-3*(b - 77)**2*(b - 2)
Find h, given that -24*h**2 - 3/2*h**5 - 24*h**3 - 96 + 120*h + 12*h**4 = 0.
-2, 2, 4
Suppose -11*o + 3827 = -39*o + 3883. What is i in -16 - 4/9*i**o + 16/3*i = 0?
6
Factor -2/5*y**2 + 124/5*y - 464/5.
-2*(y - 58)*(y - 4)/5
Let q = 204/293 - 26/879. Determine g so that -28*g - 294 - q*g**2 = 0.
-21
Suppose 2*q - 3*l + 9 = -0*q, 5*l - 16 = 3*q. Find u such that 4*u**2 - 116*u - 1 - 2*u**q + 132*u + 1 = 0.
-2, 0, 4
Determine b so that -96/5 + 58/15*b**3 + 2/15*b**5 + 4/3*b**4 - 8/15*b**2 - 88/5*b = 0.
-4, -3, -2, 2
Solve 405*i**2 - 8*i**2 + 356*i**2 - 135*i**2 + 8*i + 4*i**2 = 0.
-4/311, 0
Let g(b) = 4*b**3 + 2404*b**2 + 4799*b + 4198. Let u be g(-599). Let a be (-16)/(-30) - (-1)/(-3). Factor 0*q + 0*q**4 + 0*q**2 + 0 - 1/5*q**3 + a*q**u.
q**3*(q - 1)*(q + 1)/5
Let n(x) be the second derivative of x**7/168 - 23*x**6/60 + 481*x**5/80 + 23*x**4 + 24*x**3 - 50*x. Suppose n(s) = 0. Calculate s.
-1, 0, 24
Factor -2/7*m**2 + 280*m - 68600.
-2*(m - 490)**2/7
Suppose 5 = 5*b + 20. Let y be b + 2 + (-8)/(-4) + 26. Find g such that y*g**5 - 107*g**5 + 120*g**3 + 0*g**2 - g - 9*g - 100*g**4 - 5*g**2 = 0.
-2, -1/4, 0, 1/2
Let k(u) be the first derivative of 21*u**6 - 20208*u**5/5 - 6329*u**4/2 + 16012*u**3/3 + 7076*u**2 + 2576*u - 388. What is x in k(x) = 0?
-2/3, -2/7, 1, 161
Let a = -47/119 - -824/1785. Let t(z) be the second derivative of 27*z - 1/3*z**4 + a*z**6 + 0*z**5 + 0*z**3 + 0 + z**2. Determine p so that t(p) = 0.
-1, 1
Let k(s) be the third derivative of -s**8/336 + s**7/210 + 3*s**6/20 - 5*s**5/6 + 47*s**4/24 - 5*s**3/2 + 3*s**2 + 41. Factor k(q).
-(q - 3)*(q - 1)**3*(q + 5)
Let n be (-1012)/(-28) - (431 - 396). What is f in -n*f - 36/7*f**2 - 2/7*f**4 + 18/7*f**3 + 48/7 = 0?
-1, 2, 6
Determine h so that 28/15*h**4 + 0 + 14/3*h + 2/15*h**5 + 164/15*h**2 + 8*h**3 = 0.
-7, -5, -1, 0
Let -2/11*f**3 + 0 + 322/11*f**2 - 636/11*f = 0. What is f?
0, 2, 159
Let t be ((-3)/2)/((-7890)/32875) + (-8)/2. Let 1/2*w**4 - 1 + 1/2*w**2 + t*w - 9/4*w**3 = 0. Calculate w.
-1, 1/2, 1, 4
Suppose -72 - 468 = -10*z. Let s be 1/2 - (3 - z/12). Determine f, given that -56*f**s - 5*f**3 + 3*f**5 - 12*f**4 + 68*f**2 + f**5 + f**3 = 0.
-1, 0, 1, 3
Factor -49200 + 2*j**3 - 14304 + 480369*j**2 + 32760*j - 480877*j**2.
2*(j - 126)**2*(j - 2)
Let t(o) = -2*o + 56. Let w(m) = m - 28. Let n(k) = -2*t(k) - 5*w(k). Let l be n(-11). Factor 3*g + 3 + 9*g - l - g**2.
-(g - 6)**2
Let k(b) be the first derivative of b**6/2340 + 3*b**5/260 + 3*b**4/26 - 77*b**3/3 - 37. Let s(x) be the third derivative of k(x). Let s(c) = 0. What is c?
-6, -3
Let r(z) = -11*z**3 + 278*z**2 + 531*z + 522. Let o(g) = 3*g**3 - 93*g**2 - 186*g - 174. Let b(n) = 10*o(n) + 3*r(n). Let b(v) = 0. What is v?
-29, -2, -1
Suppose -173 = -5*b + 3*j, 20*b - 2*j + 32 = 21*b. Solve -76 - 2*n**2 - 3*n**2 - b*n + 7*n**2 = 0 for n.
-2, 19
Let p(z) be the third derivative of 0*z - 5/336*z**8 + 0*z**4 + 0*z**3 + 0 + 0*z**6 + 1/21*z**7 + 0*z**5 + 74*z**2. Solve p(b) = 0.
0, 2
Let p(w) = 21*w**3 - 117*w**2 + 240*w - 9. Let z(x) = -3*x**2 - 4*x + 1. Let f(i) = p(i) + 9*z(i). Factor f(j).
3*j*(j - 2)*(7*j - 34)
Let o = 72542 + -72542. Factor 3/4*n**5 + 0*n + o*n**2 + 0 - 3/8*n**3 + 3/8*n**4.
3*n**3*(n + 1)*(2*n - 1)/8
Suppose 2*q + q = -87. Let r be (q/58)/(1/(-16)). Determine x, given that -8/3*x + 4/9*x**3 + r + 2/9*x**4 - 22/9*x**2 = 0.
-3, 2
Solve 1/2*r**2 + 1356*r + 919368 = 0.
-1356
Let u(z) = 45*z**4 + 42*z**3 - 792*z**2 - 3191*z + 23. Let r(g) = -4*g**4 - 4*g**3 + 72*g**2 + 290*g - 2. Let n(k) = 23*r(k) + 2*u(k). Factor n(p).
-2*p*(p - 6)*(p + 4)*(p + 6)
Let l(s) be the second derivative of -s**6/540 + s**5/9 - 19*s**4/36 - 5*s**3/3 - 56*s. Let m(k) be the second derivative of l(k). Find f such that m(f) = 0.
1, 19
Let k(q) be the first derivative of -3*q**5/35 - 3*q**4/7 + 6*q**3/7 + 6*q**2/7 - 15*q/7 + 1780. Solve k(b) = 0 for b.
-5, -1, 1
Let i(r) be the third derivative of r**6/24 - 16*r**5/3 + 632*r**2. Suppose i(v) = 0. What is v?
0, 64
Let b(o) = -o**2 + 12*o - 17. Let f be b(2). Factor -48*t**f + 21224*t**4 - 21221*t**4 + 121*t**2 - 34*t**2 - 42*t.
3*t*(t - 14)*(t - 1)**2
Let v(w) be the third derivative of w**8/1680 - w**6/36 + 3*w**4/8 + 19*w**3/2 + 76*w**2. Let j(a) be the first derivative of v(a). What is k in j(k) = 0?
-3, -1, 1, 3
Suppose h - 2*p + 253 = -3*p, 0 = 2*h + 4*p + 498. Let q = h - -257. Let -2/3*f**2 + q + 4/3*f = 0. Calculate f.
0, 2
Let t(k) be the first derivative of 1/4*k**3 + 49 + 0*k + 1/4*k**2 + 1/16*k**4. Find n such that t(n) = 0.
-2, -1, 0
Let o(y) = 2*y**4 - 9*y**3 + 12*y**2 - 5*y + 10. Let a(j) = -2*j**4 + 10*j**3 - 12*j**2 + 4*j - 8. Let h(d) = 5*a(d) + 4*o(d). Factor h(v).
-2*v**2*(v - 6)*(v - 1)
Let v = 17 - 14. Let d(b) = 7*b**4 + 12*b**3 + 11*b**2 + 3*b + 3. Let z(o) = -2*o**4 - o**3 - o**2 - o - 1. Let j(i) = v*z(i) + d(i). Factor j(f).
f**2*(f + 1)*(f + 8)
Let n = 232 - 230. Suppose 2 + 4 = 3*h. Suppose n*q**h - 56*q + 38*q + 42*q + 72 = 0. What is q?
-6
Let z(v) = -4*v. Let p(k) = 11*k - 1. Let s(l) = 3*p(l) + 8*z(l). Let x be s(8). Let -x + 113*w - 15 + 4*w**2 - 129*w = 0. What is w?
-1, 5
Determine z, given that -46/3*z**2 + 10/3*z**3 - 2/9*z**4 + 130/9*z + 100/3 = 0.
-1, 5, 6
Solve -32180*w**2 - 32095*w**2 + 66 + 64368*w**2 + 1029*w = 0.
-11, -2/31
Let o be 6/4*(18 + -21 - -43). Let s(y) be the first derivative of -44 - 48*y - o*y**2 - 3*y**5 - 40*y**3 - 15*y**4 - 1/4*y**6. Factor s(p).
-3*(p + 2)**5/2
Let f be ((-96)/18 + -1 - -9)/(8/28). Let -f*u + 2*u**2 - 10/3 = 0. What is u?
-1/3, 5
Let d = 3/955 - -943/3820. Let r(y) be the third derivative of y**2 + 1/40*y**6 + 0*y + y**4 - 2*y**3 - d*y**5 + 0. Factor r(m).
3*(m - 2)**2*(m - 1)
Let b be ((-3)/90)/(79/(-14694)). Factor -51*c + b*c**2 + 45 - 1/5*c**3.
-(c - 15)**2*(c - 1)/5
Find s, given that 247*s**2 + 76/3*s**3 + 1360/3 + 2024/3*s - 1/3*s**4 = 0.
-4, -1, 85
Let x(y) be the first derivative of -y**5/210 + 19*y**4/21 - 1444*y**3/21 + 3*y**2/2 + 46*y + 142. Let l(t) be the second derivative of x(t). Factor l(f).
-2*(f - 38)**2/7
Solve 22*y**5 + 148*y**3 - 8*y + 489*y**2 - 136*y**4 - 40*y - 245*y**2 - 14*y**3 = 0 for y.
-1, 0, 2/11, 3, 4
Let b be 5 + 154/157 - 6. Let f = b + 169/628. Determine x, given that 0 + 1/4*x**2 - f*x = 0.
0, 1
Let t(b) be the third derivative of b**5/15 - b**4/24 + b**3/6 + 61*b**2. Let i(v) = 76*v**2 - 28*v + 20. Let d(h) = -i(h) + 20*t(h). Solve d(g) = 0 for g.
-2, 0
Solve -183/8*q**2 + 3/8*q**3 - 171/2 + 87*q = 0.
2, 57
Factor -25*w**3 + 374 - 6*w**3 - 108*w**2 - 62 - 12*w + 30*w**2 + 34*w**3.
3*(w - 26)*(w - 2)*(w + 2)
Let k(u) be the third derivative of 2 + 2*u**2 - 2/315*u**7 - u**3 - 7/180*u**6 + 7/36*u**4 + 0*u + 11/90*u**5. Suppose k(s) = 0. What is s?
-9/2, -1, 1
Solve 2*s**5 + 0 - 32/7*s + 8*s**2 + 94/7*s**4 + 24*s**3 = 0.
-4, -2, -1, 0, 2/7
Let l be 2*(-4)/8*5/(-1). Suppose -j + 0*j + 2*i + l = 0, 2*j - 5*i - 9 = 0. What is d in -3 + 8*d - j + 5*d**2 - 4*d + d = 0?
-2, 1
Let y be 4/(-18) - (-7)/18. Let z = -1/655106 + 163778/982659. Solve 0 + y*o**4 - z*o**2 - 1/3*o**3 + 1/3*o = 0 for o.
-1, 0, 1, 2
Let z(l) be the third derivative of -5*l**8/16 - 97*l**7/21 - 335*l**6/24 + 235*l**5/6 + 110*l**4/3 - 80*l**3 - 9*l**2 + l + 19. Suppose z(k) = 0. Calculate k.
-6, -4, -4/7, 1/3, 1
Let h = -462 - -89168/193. Let f = h + 1510/3281. Suppose 4/17 - f*g**5 + 20/17*g**2 - 24/17*g**4 - 10/17*g**3 + 18/17*g = 0. Calculate g.
-2, -1, -1/2, 1
Let v be 82/(-697) - 5/(1275/(-6490)). Find a such that 140/3*a**3 + v*a**4 - 16/3 - 20*a**2 - 20*a**5 - 80/3*a = 0.
-1, -2/5, -1/3, 1, 2
Let x(b) be the third derivative of -41*b**7/420 + 449*b**6/240 + 11*b**5/60 + 2603*b**2. Factor x(s).
-s**2*(s - 11)*(41*s + 2)/2
Let t(l) be the third derivative of -l**8/1344 + 3*l**7/280 - l**6/48 - l**5/8 + 11*l**4/96 + 7*l**3/8 + 1193*l**2. Let t(p) = 0. Calculate p.
-1, 1, 3, 7
Let k(x) be the f