b**5 - 1/195*b**6 + 0 - 23*b + 1/78*b**g + 0*b**3. Let s(c) = 0. What is c?
-1, 0, 1
Suppose 5*y - 4*g - 26 = 54, 85 = 5*y - 5*g. Let x(m) be the first derivative of 16*m - 2/5*m**5 + 4/3*m**3 + 30 + y*m**2 - 3/2*m**4. Let x(v) = 0. Calculate v.
-2, -1, 2
Suppose 3*d = -2*d + 4*y + 22, 0 = 5*d - y - 13. Let a be ((-29082)/370 - -77)/((-54)/20 - -2). Find g, given that -4/7*g**d + a*g - 12/7 = 0.
1, 3
Let a be 3/((-33)/22 - -2). Let d(k) be the third derivative of 0*k**3 - 1/12*k**5 + 0*k + 0 - 8*k**2 - 1/24*k**a + 5/12*k**4. Suppose d(f) = 0. What is f?
-2, 0, 1
Let z(f) = -3*f**3 + 35*f**2 - 20*f - 19. Let d be z(11). Let h(y) be the second derivative of 1/24*y**4 - 3*y - 1/2*y**2 + 0 + 1/12*y**d. Factor h(k).
(k - 1)*(k + 2)/2
Let q be (-42)/49 - 170/(-35). Find j, given that 0 - 15*j**3 + 25*j**2 + 5*j**5 + 183*j**q - 188*j**4 - 10*j + 0 = 0.
-2, 0, 1
Let t = -140 + 143. Factor -8*y**2 + 0*y**2 - 34*y**t + 8*y**4 + 68*y**3 - 2*y - 32*y**3.
2*y*(y - 1)*(y + 1)*(4*y + 1)
Factor -1/3*v**5 + 21584/3*v**2 + 386992/3*v + 106/3*v**4 - 1144*v**3 + 219488.
-(v - 38)**3*(v + 2)*(v + 6)/3
Let d(m) be the third derivative of -m**8/80640 + 5*m**7/4032 + 13*m**6/1440 + 2*m**5/15 + 53*m**2. Let t(q) be the third derivative of d(q). Factor t(j).
-(j - 26)*(j + 1)/4
Let b = -117 + 128. Suppose 0 = 5*v + 1 - b. Factor 3*l**4 + 13*l**3 - 4*l**3 - 3*l + 9*l**v + 6*l.
3*l*(l + 1)**3
Let o = -183273 - -183276. What is n in 32/9*n**2 - 40/9*n + 34/9*n**4 + 4/9*n**5 + 0 + 26/3*n**o = 0?
-5, -2, 0, 1/2
Let c(j) be the first derivative of -85/2*j**2 - 20*j**3 - 35*j + 11. Let n(d) = 5*d**2 + 7*d + 3. Let f(v) = 3*c(v) + 35*n(v). Factor f(x).
-5*x*(x + 2)
Suppose 322 = 2*w + 116*w + 86. Factor -2/7 + 3/7*f + 8/7*f**w + 3/7*f**3.
(f + 1)*(f + 2)*(3*f - 1)/7
Factor 159/2 - 1/4*q**2 - 157/4*q.
-(q - 2)*(q + 159)/4
Let t = 11164 - 11161. Let a(u) be the first derivative of -9 + 2/55*u**5 + 0*u**t + 0*u + 0*u**2 + 3/22*u**4. Factor a(m).
2*m**3*(m + 3)/11
What is h in -7655*h**2 - 232*h**3 + 432 - 48*h**5 + 7199*h**2 - 179*h**3 + 612*h + 312*h**4 = 0?
-3/4, 2, 4
Let h(s) be the third derivative of s**6/18 + 18*s**5/5 + 1231*s**4/18 - 532*s**3/3 - 1941*s**2 + s. Find z such that h(z) = 0.
-19, -14, 3/5
Let p(j) be the first derivative of -12*j**2 + 73 + 1/3*j**3 - 25*j. Factor p(l).
(l - 25)*(l + 1)
Let h(s) be the third derivative of 5/21*s**3 + 1/210*s**5 - s + 0 + 1/14*s**4 + 30*s**2. Suppose h(m) = 0. Calculate m.
-5, -1
Let f be (-51)/9*1485/(-10). Let l = -839 + f. Solve 10*g**2 - 235/4*g**3 + 65/4*g + 10*g**4 + 20*g**5 + l = 0 for g.
-2, -1/4, 1
Let 5*l**3 - 4624 + 269068*l**2 + 884*l - 269004*l**2 - 4*l**3 = 0. Calculate l.
-34, 4
Let m(o) be the third derivative of 4*o**7/315 + 5*o**6/18 + 4*o**5/15 - 289*o**2. Solve m(y) = 0.
-12, -1/2, 0
Let s(r) = 3*r**3 + 9*r**2 - r - 5. Let m be s(-4). Let f = 82 + m. Factor 13 + f*q**2 + 12*q + 32*q**2 - 66*q**2.
-(q - 13)*(q + 1)
Let a(t) be the second derivative of -7*t**5/20 + 13*t**4/4 + 14*t**3/3 - 78*t**2 + 2780*t. Factor a(f).
-(f - 2)*(f + 2)*(7*f - 39)
Let u(b) = -11*b**2 + 406*b - 14379. Let o(j) = 4*j**2 - 135*j + 4797. Let m(x) = -8*o(x) - 3*u(x). Determine h, given that m(h) = 0.
69
Let b(i) be the first derivative of 14/27*i**3 + 2/3*i**2 + 4/45*i**5 - 23 - 1/2*i**4 + 0*i. What is o in b(o) = 0?
-1/2, 0, 2, 3
Let k(s) be the third derivative of 3*s**2 + 2/51*s**3 + 0 + 5/204*s**4 - 1/170*s**5 - 12*s. Find g such that k(g) = 0.
-1/3, 2
Let n(o) be the third derivative of o**5/30 + 27*o**4/4 - 84*o**3 + 3*o**2 + 208*o. Factor n(l).
2*(l - 3)*(l + 84)
Let t be 6 + 676/(-132) + 30/(-55). Suppose -4*s - 36 = -22*s. Factor -2/3 - t*n + 1/3*n**s.
(n - 2)*(n + 1)/3
Factor 280*l**2 - 51*l**3 + 356*l**2 - 81*l**3 - 836*l**2 + 40*l**3 + 4*l**4.
4*l**2*(l - 25)*(l + 2)
Let t(w) = -138*w + 111 + 56*w + 548. Let v be t(8). Determine h, given that 72/5*h + 6/5*h**v - 48/5 + 9*h**2 = 0.
-4, 1/2
Let t = -133/2566 + 20927/7698. Factor -150*s**3 - 190*s**2 - t - 128/3*s.
-2*(s + 1)*(15*s + 2)**2/3
Let d(q) = q**3 - 7*q**2 - 3*q - 38. Let j be d(8). Find l such that 347*l - 3*l**j - 341*l + l**2 - l**2 = 0.
0, 2
Let c(d) = -2*d**3 + 393*d**2 - 249*d + 10388. Let j be c(196). Factor 9/4*n**2 + j - 5/2*n + 1/4*n**3.
n*(n - 1)*(n + 10)/4
Let h(d) be the first derivative of -15*d**6/2 + 6*d**5/5 + 45*d**4 - 8*d**3 + 6720. What is r in h(r) = 0?
-2, 0, 2/15, 2
Solve -53*o**4 + 4*o**5 + 52*o**3 + 9*o**4 - 159*o - 320 + 103*o + 364*o**2 = 0.
-2, -1, 1, 5, 8
Determine b, given that 3*b**3 + 219068*b - 672*b**2 + 217131*b - 397904*b - 73926 = 0.
2, 111
Suppose -138*k + 140*k + 10 = 0, -4*y + 4*k = 0. Let j(d) = 3*d**2 - 2*d + 4 - d - 4*d. Let b(q) = q**2 - q + 1. Let o(g) = y*j(g) + 20*b(g). Factor o(v).
5*v*(v + 3)
Suppose 10 = 313*c - 5 + 15. Factor c + q**4 + 1/2*q**5 + 0*q - 1/2*q**3 - q**2.
q**2*(q - 1)*(q + 1)*(q + 2)/2
Factor 3*p**5 + 944*p**3 - 1010*p**3 - 72*p**2 - 45*p + 180*p.
3*p*(p - 5)*(p - 1)*(p + 3)**2
Suppose -3*y = -8*p + 13*p - 25, 5*p - 10 = 0. Let c(l) = 8*l - 37. Let k be c(y). Let -6/5*v + 2/5*v**k - 4/5*v**2 + 0 = 0. Calculate v.
-1, 0, 3
Factor 725/3*g**2 - 1445/6*g**3 + 0*g + 0 - 5/6*g**4.
-5*g**2*(g - 1)*(g + 290)/6
Let u be (-52)/(-4381)*(-2)/4. Let r = 1342/1011 - u. Factor r*x - 7/3*x**2 + 2/3*x**3 + 1/3*x**4 + 0.
x*(x - 1)**2*(x + 4)/3
Let r(d) = -2*d**2 - 45*d - 201. Let n be r(-6). Let j be (-5 - (n + -4))*2/12. Solve -5/3*l**2 + j*l**3 - 4/3 + 8/3*l = 0.
1, 2
Suppose -10*s = -8*s - 8. Let h be (12/3)/(2/s). Solve 171 + 174 - h*v**3 - 4*v**4 + 8*v - 341 = 0.
-1, 1
Factor -283/4*v + 483 + 1/4*v**2.
(v - 276)*(v - 7)/4
Let h(p) be the first derivative of p**9/4536 + p**8/1260 + p**7/1260 + 47*p**3 - 74. Let s(c) be the third derivative of h(c). Suppose s(b) = 0. Calculate b.
-1, 0
Suppose 39 = -3*a + 5*w + 63, -4*a = 4*w. Let -a*o**4 - 24*o**2 - 3/2*o - 33/2*o**3 + 9 = 0. Calculate o.
-3, -2, -1, 1/2
Let d(s) be the second derivative of s**6/30 + 881*s**5/20 + 85845*s**4/4 + 24628075*s**3/6 - 51344750*s**2 - 8192*s. Factor d(z).
(z - 4)*(z + 295)**3
Suppose 1/5*i**3 + 81408*i - 808992/5 - 1274/5*i**2 = 0. Calculate i.
2, 636
Let o = 212 + -210. What is t in -12*t - 5 - 14*t**o - 6 - 25*t + 5*t + 3 = 0?
-2, -2/7
Let o = -199 - -201. Factor 9*z**2 + 5 - 38*z**2 + 26*z**o - 14*z.
-(z + 5)*(3*z - 1)
Suppose 6*n**4 + 15*n**4 - 3*n**3 + 6*n**4 + 8*n + 15*n**4 - 41*n**4 - 6*n**2 = 0. What is n?
-2, 0, 1, 4
Let t(x) be the second derivative of -x**6/6 + 3*x**5/4 + 15*x**4/2 - 100*x**3/3 + 719*x. Factor t(g).
-5*g*(g - 5)*(g - 2)*(g + 4)
Suppose -5*b + 103 + 109 = 202. Factor 1185/4*z - 75/2 - 114*z**b + 45/4*z**3.
3*(z - 5)**2*(15*z - 2)/4
Let h be (-4)/(-72) - (-2071)/9810. Let v(n) be the first derivative of h*n**3 + 33 + 32/5*n + 12/5*n**2. Factor v(r).
4*(r + 2)*(r + 4)/5
Let m(w) be the first derivative of -62 + 2/75*w**5 + 2/15*w**2 + 0*w + 0*w**4 - 2/15*w**3. Factor m(l).
2*l*(l - 1)**2*(l + 2)/15
Let g be (-205)/(-30) - (-4)/24 - 3. Determine x, given that -6*x + 2*x + 7190*x**2 - g*x + 20 - 7191*x**2 = 0.
-10, 2
Let o(c) be the third derivative of c**7/630 + 61*c**6/180 + 121*c**5/180 - 2441*c**2. Find y such that o(y) = 0.
-121, -1, 0
Let a(j) be the third derivative of 3*j**3 - 1/20*j**5 + 1/8*j**4 + 0*j + 0 + 2*j**2. Find i, given that a(i) = 0.
-2, 3
What is c in 11*c**4 - 9514*c - 14809*c**2 + 257*c**4 - 286*c - 4068*c**3 + 669*c**2 - 4*c**5 = 0?
-2, -1, 0, 35
Suppose 2*o - 12 = a, 0 = -56*a + 37*a - 228. Factor -33/2*m**2 - 21/2*m**3 - 3/2*m**4 - 15/2*m + o.
-3*m*(m + 1)**2*(m + 5)/2
Let a(w) be the first derivative of 2*w**5/5 + 27*w**4/2 + 50*w**3/3 - 27*w**2 - 52*w + 2835. Factor a(z).
2*(z - 1)*(z + 1)**2*(z + 26)
Let u be (-8 - -41) + -28 - (549/(-57))/(-3). Factor -u*o**2 + 126/19*o + 2/19*o**3 + 162/19.
2*(o - 9)**2*(o + 1)/19
Let s = 462 - 468. Let w be s*(1 + (-25)/15). Factor 4/5*m**3 + 2/5 - 6/5*m**w + 4/5*m**2 - 6/5*m + 2/5*m**5.
2*(m - 1)**4*(m + 1)/5
Suppose k = -3*n + 64, -14*k + 2*n + 256 = -10*k. Solve -131*j + 46*j**4 + 10*j**2 + 69*j - 16*j**5 - 42*j**3 + k*j = 0.
-1/8, 0, 1
Let d be (-14181)/(-52239) - 1/(-33)*-9. Let b = d + 1595/9498. Find f, given that b*f**2 - f + 1/6*f**3 + 0 = 0.
-3, 0, 2
Let v(w) = -w**2 + 36*w + 169. Let t be v(39). Find s, given that -48 - 15*s**2 - t*