ive of -5*j**6/2 - 89*j**5 + 575*j**4/2 + 300*j**3 - 980*j**2 - 1280*j - 5158. What is s in i(s) = 0?
-32, -1, -2/3, 2
Let w = 53 + -51. Suppose -4*o - 4*y = -12, w*o = 9*y - 8*y + 6. Find v such that 13/6*v**2 + 3/2*v**4 + 7/2*v**o - 1/3 - 1/6*v = 0.
-1, -2/3, 1/3
Factor -11784/7*q - 72/7 - 482162/7*q**2.
-2*(491*q + 6)**2/7
Let a be (-327)/(-436) - 27/(-12). Let h be (-2)/7 - 249/(-63) - 3. Factor -h*l**a + 2 + 10/3*l**2 - 14/3*l.
-2*(l - 3)*(l - 1)**2/3
Factor -530450/3*x - 273181750/9 - 1030/3*x**2 - 2/9*x**3.
-2*(x + 515)**3/9
Let l(y) be the first derivative of -5*y**4/4 - 100*y**3/3 + 625*y**2/2 + 305. Factor l(w).
-5*w*(w - 5)*(w + 25)
Let z(u) = -20 - 2*u + u**3 - 4*u + 3*u**2 - 16*u + 5*u**2. Let w be z(-10). Let -1/2*x**3 - 1/2*x**2 + 1/2*x**4 + 1/2*x + w = 0. Calculate x.
-1, 0, 1
Let -10*s**4 - 3456 + 10*s**4 - 12*s**4 + 9*s**4 + 251*s**3 + 6624*s - 2*s**4 - 3414*s**2 = 0. Calculate s.
1, 6/5, 24
Let i(b) be the third derivative of 2*b**7/105 - 23*b**6/120 - 101*b**5/30 - 313*b**4/24 - 11*b**3 + 7*b**2 - 17*b. Suppose i(a) = 0. Calculate a.
-3, -2, -1/4, 11
Let v be (1 - (-270705)/20)*4. Determine h so that -5*h**4 + 54145*h**2 - v*h**2 - 5*h**5 = 0.
-1, 0
Let x(v) be the first derivative of -30 + 1/3*v**3 + 36*v + 6*v**2. Factor x(g).
(g + 6)**2
Let m(b) be the first derivative of -3*b**5/20 - 9*b**4/32 + 3*b**2/16 + 876. Factor m(a).
-3*a*(a + 1)**2*(2*a - 1)/8
Let g(i) = i**2 - 273*i - 394. Let u(s) = -s**2 + 25*s + 2. Let d(j) = -g(j) - 3*u(j). Find w, given that d(w) = 0.
-97, -2
Let j(r) be the third derivative of 0*r**4 + 1/560*r**7 + 1/2688*r**8 + 0 + 0*r**5 + 1/480*r**6 + 0*r**3 + r + 23*r**2. Factor j(u).
u**3*(u + 1)*(u + 2)/8
Let w(k) = -k**2 - 7*k - 8. Let d be w(-5). Solve -104 - 3*l + 37 + l**d + 34 + 35 = 0 for l.
1, 2
Factor -g**2 + 0*g**2 - 267334 - 3*g**2 - 4356 - 3960*g - 708410.
-4*(g + 495)**2
Factor -13/2*s + 30 + 1/4*s**2.
(s - 20)*(s - 6)/4
Let r(b) be the third derivative of 5/18*b**4 - 45*b**2 + 0 - 4/3*b**3 - b + 1/45*b**5. What is s in r(s) = 0?
-6, 1
Let v(y) be the third derivative of 0 - 73*y**2 - 294*y**3 - 142/15*y**5 - 2/3*y**6 - 2/105*y**7 + 0*y - 70*y**4. Determine p so that v(p) = 0.
-7, -3
Suppose -3*t + f = 36, -18 = 5*t - 2*t + 5*f. Let q be 1*(-22 - t) - -11. Factor 2/5*g**4 - 24/5*g**2 + 16/5*g**3 + 0 - 2/5*g**5 + q*g.
-2*g**2*(g - 2)**2*(g + 3)/5
Suppose -1577*q**3 + 487*q**3 + 606*q**3 - 93*q**2 - 846*q**2 + q + 483*q**3 + 939 = 0. Calculate q.
-939, -1, 1
Factor -20667/5*w**2 - 498*w - 15.
-3*(83*w + 5)**2/5
Let o(g) = -g**2 - 21*g - 102. Let c be o(-13). What is d in 64*d**4 - 557*d**2 + 29 + 88 - 454*d**2 - 44*d - 121*d - 752*d**3 - 17*d**c = 0?
-3/4, 1/4, 13
Let -142/5*j**2 + 144/5*j**3 - 1/5*j**4 - 144/5*j + 143/5 = 0. What is j?
-1, 1, 143
Let h be (-10620)/(-2065) - 2/4*0. Find x such that -2/7*x**3 + 10*x - 32/7*x**2 - h = 0.
-18, 1
Let l(c) be the first derivative of -15/2*c**2 - 39 - 18*c + 3/4*c**4 + 2*c**3. Let l(f) = 0. Calculate f.
-3, -1, 2
Let z be (-3)/(-2) + 13/(-26). Let i be z/(-4) - 41/(-68). Find u such that i + 10/17*u**2 + 14/17*u + 2/17*u**3 = 0.
-3, -1
Factor 750 + 0*x + 3/2*x**3 - 45/2*x**2.
3*(x - 10)**2*(x + 5)/2
Let w(n) be the second derivative of -n**6/15 + 109*n**5/2 - 16471*n**4 + 5929196*n**3/3 + 6028568*n**2 - 1383*n. Factor w(s).
-2*(s - 182)**3*(s + 1)
Suppose 1 = f - 2*i, -f + i + 8 = 2*f. Solve 2*a**2 + 4*a**f + 30*a + 9*a**2 - 32*a**2 - a**3 = 0 for a.
0, 2, 5
Suppose -3*v = -3*b + 1713, 1721 = -b + 4*b + v. Let t = 2866/5 - b. Factor -t*a**2 + 1/5*a + 1/5*a**4 + 0 - 1/5*a**3.
a*(a - 1)**2*(a + 1)/5
Suppose 1/4*c**5 + 1901364*c + 261/4*c**4 + 5146083 + 23691/4*c**3 + 828755/4*c**2 = 0. What is c?
-83, -6
Factor 0 - 3*n**2 + n**3 + 5/3*n + 1/3*n**4.
n*(n - 1)**2*(n + 5)/3
Let f(h) be the first derivative of 0*h**2 - 9/40*h**5 + 9/16*h**4 - 43 + h**3 + 0*h - 1/16*h**6. Suppose f(l) = 0. What is l?
-4, -1, 0, 2
Let x be 9/((-18)/4)*(4 + -2). Let z be (-40)/(3 + -5)*(-1)/x. Factor 38*d**z - 3*d**4 - 2*d**2 - 36*d**5 - 3*d**4 + 6*d**3.
2*d**2*(d - 1)**3
Let i be -7 - (-7)/(-21)*-21. Let p(g) be the third derivative of i*g - 1/105*g**7 + 0*g**4 - 23*g**2 + 1/15*g**5 - 1/60*g**6 + 0 + 0*g**3. Factor p(l).
-2*l**2*(l - 1)*(l + 2)
Let q(b) = -9*b**2 + 69*b - 156. Suppose 0 = -8*f - f - 27. Let d(p) = -17*p**2 + 136*p - 312. Let s(n) = f*d(n) + 5*q(n). Suppose s(g) = 0. Calculate g.
4, 13/2
Let x(r) = r**4 + r**2 - 4. Let t(b) = 24*b**4 - 384*b**3 + 10892*b**2 - 77056*b + 66484. Let s(h) = t(h) - 20*x(h). Factor s(a).
4*(a - 43)**2*(a - 9)*(a - 1)
Let j be (((-195)/154)/5 - 64/(-352))/(45/(-810)). Factor 1/7*i**3 - 6/7*i**2 + j*i - 4/7.
(i - 4)*(i - 1)**2/7
Suppose 2*l - 2623*k = -2618*k - 7, -21 = -3*k. Let j(z) be the third derivative of -8/3*z**3 + 0 + 2/3*z**4 + l*z**2 - 1/15*z**5 + 0*z. Solve j(w) = 0.
2
Let a(o) = o**2 - 10*o + 25. Let y be a(7). Suppose 24*q - y = 22*q, -7 = -v - q. Determine z, given that 0*z**2 + 0*z**3 + 4/15*z**4 - 2/15*z**v + 0*z + 0 = 0.
0, 2
Let t(w) be the first derivative of w**4/12 + 16*w**3/9 + 83*w**2/6 + 140*w/3 + 6869. Find h, given that t(h) = 0.
-7, -5, -4
Let a(l) be the third derivative of -l**8/24 - 11*l**7/35 + 379*l**6/20 + 833*l**5/30 - 55*l**4/2 - 4*l**2 + 553*l. Suppose a(o) = 0. What is o?
-15, -1, 0, 2/7, 11
Let d(c) be the first derivative of c**6/4 - 12*c**5/5 + 9*c**4/4 + 4*c**3 - 21*c**2/4 - 4364. Find f such that d(f) = 0.
-1, 0, 1, 7
Determine w so that 32*w + 60*w**4 - 2*w**5 + 28*w**4 + 14*w**5 + 83*w**2 + 196*w**3 + 69*w**2 = 0.
-4, -2, -1, -1/3, 0
Let z = 122486 + -612424/5. Factor 0*f**2 - 1/5*f**3 + 7/5*f + z.
-(f - 3)*(f + 1)*(f + 2)/5
Let y(l) be the third derivative of 0*l**4 + 0 + 3*l**2 + 0*l**3 - 16/45*l**5 + 1/90*l**6 - 28*l. Factor y(i).
4*i**2*(i - 16)/3
Suppose 0 = 1778*s - 3071*s + 6465. Solve 0 - 92*u**2 + 282/7*u**3 - 31/7*u**4 + 1/7*u**s + 56*u = 0.
0, 1, 2, 14
Find t, given that -20*t**2 + 2735*t + 432 - 123*t**4 - 674*t - 12*t**5 - 63*t + 1079*t**2 - 114*t**3 = 0.
-8, -3, -2, -1/4, 3
Suppose 0 = 886*t - 1609*t. Find y such that 6*y + t - 2/9*y**4 - 6*y**3 + 2/9*y**2 = 0.
-27, -1, 0, 1
Let a(b) = 7*b**2 - 41*b - 52. Let f(u) = 2*u + 16 - 2*u**2 - 16 + 3*u**2 - 1. Let q(v) = -a(v) + 2*f(v). Factor q(p).
-5*(p - 10)*(p + 1)
Let z(n) be the second derivative of n**8/112 - 3*n**7/70 - n**6/40 + 3*n**5/20 + 107*n**2/2 + 47*n. Let u(a) be the first derivative of z(a). Factor u(k).
3*k**2*(k - 3)*(k - 1)*(k + 1)
Let f(l) = -2*l**2 - 34*l - 140. Let y be f(-10). Let c(a) be the second derivative of y - 22*a - 1/4*a**5 + 3/2*a**4 + 4/3*a**3 + 0*a**2. Factor c(q).
-q*(q - 4)*(5*q + 2)
Let i = 1577116/5 + -315422. Solve -8/5*p - 2/5*p**2 - i = 0 for p.
-3, -1
Suppose 4*x - 1284 = -4*h, 3*h + 13*x - 11*x = 960. Let a = -635/2 + h. Factor -2*d - a*d**3 + 0 - 2*d**2.
-d*(d + 2)**2/2
Let w = 3394/465 - 65/93. Factor w*o - 12/5 + 9/5*o**2.
3*(o + 4)*(3*o - 1)/5
Let c be (-1)/(((-195)/6)/(-5) + 154/(-22)). Suppose 0*h - 5*h + 20 = 0. Find x, given that 4*x + 3/2 + 1/6*x**h + 4/3*x**3 + 11/3*x**c = 0.
-3, -1
Let r(c) = 396*c + 27723. Let m be r(-70). Determine p so that 70/3*p**m + 190*p + 5/3*p**4 + 320/3*p**2 + 105 = 0.
-7, -3, -1
Let 384/13 - 34/13*r**2 - 2/13*r**3 - 8/13*r = 0. Calculate r.
-16, -4, 3
Let j(z) be the second derivative of 49*z**5/4 + 2485*z**4/6 + 1405*z**3/6 + 50*z**2 + 728*z. Let j(m) = 0. What is m?
-20, -1/7
Let k(f) = 60*f**2 + 600*f + 935. Let d(y) be the third derivative of -y**5/12 - 25*y**4/12 - 13*y**3 + 166*y**2. Let g(s) = 25*d(s) + 2*k(s). Factor g(j).
-5*(j + 2)*(j + 8)
Let n = -1084381 + 1084381. Factor 2/11*l**3 + 14/11*l - 16/11*l**2 + n.
2*l*(l - 7)*(l - 1)/11
Let z(r) be the first derivative of -r**3/5 + 1524*r**2/5 + 6108*r/5 - 6622. Determine f so that z(f) = 0.
-2, 1018
Suppose -26*r - 115 = -375. Factor -242*x - 13*x**2 - 21 + r*x**2 + 266*x.
-3*(x - 7)*(x - 1)
Let b(r) be the second derivative of -r**6/20 + 11*r**5/20 - 17*r**4/8 + 3*r**3 - 87*r**2/2 + 52*r. Let p(o) be the first derivative of b(o). Solve p(f) = 0.
1/2, 2, 3
Let v(y) = -y**3 + 3*y**2 - 1. Let t(a) = -2*a - 28. Let g be t(-15). Let z be v(g). Solve 0*i**2 - 3*i**2 + z*i + 5*i**2 - 3*i**2 - 2 = 0 for i.
1, 2
Let s be 434/279*(-1)/(-14). Let k(d) be the third derivative of -1/180*d**5 +