et q(j) be the first derivative of -4*j**4 + 316*j**3/3 - 248*j**2 - 144*j - 822. Find i, given that q(i) = 0.
-1/4, 2, 18
Let n be (-195)/40 + (-165)/(-13 - 2). Determine l so that 1/8*l**2 + n + 7/4*l = 0.
-7
Let l(x) be the first derivative of 9/20*x**4 - 8/5*x**3 - 1/10*x**6 + 6/25*x**5 + 0*x + 6/5*x**2 + 60. Let l(g) = 0. What is g?
-2, 0, 1, 2
Let v(b) = -10*b**2 - b. Let g be v(1). Let a(k) = 2*k**2 + 9*k + 49. Let n be a(g). Factor 46*u**2 - 19*u**2 - 32*u + 4*u**3 - n - 7*u**2.
4*(u - 3)*(u + 4)**2
Suppose -486 = 7*a - 2446. Find r, given that -1024*r**5 + 13*r - 1764*r**4 - a*r**3 + 19*r + 144*r**2 - 348*r**5 = 0.
-1, -2/7, 0, 2/7
Let g(r) be the third derivative of 4096/39*r**3 + 64/13*r**4 + 8/65*r**5 - 5*r + 0 - 8*r**2 + 1/780*r**6. Factor g(t).
2*(t + 16)**3/13
Let b(i) be the second derivative of -i**4/30 + 14*i**3/15 + 3*i**2 - 458*i. Factor b(d).
-2*(d - 15)*(d + 1)/5
Let p = -56 + 61. Find g such that 8*g**2 - 2*g**p + 40*g**3 - 6*g**2 - 256*g + 2*g**4 + 4*g**2 + 256 - 6*g**4 + 10*g**2 = 0.
-4, 2
Let v(w) be the second derivative of w**7/105 + 13*w**6/75 - 7*w**5/50 - 17*w**4/6 + 26*w**3/5 + 1778*w. Let v(y) = 0. What is y?
-13, -3, 0, 1, 2
Suppose 5*v = -3*m + 32, -2*m = -4*v + 5 + 3. Suppose -m*d + 4 = -12. Factor -5*a**3 - 9*a**3 - 5*a**d - 15*a**2 + 0*a**4 - 5*a - a**3.
-5*a*(a + 1)**3
Factor -62*p**2 + 474*p + 141*p - 60*p**2 + 215*p + 0*p**3 + 2*p**3 + 954.
2*(p - 53)*(p - 9)*(p + 1)
Let u(x) = x**4 - x**3 + 3*x**2 + x + 1. Let s(r) = -10*r**4 + 30*r**3 - 24*r**2 - 44*r - 12. Let q(v) = -s(v) - 12*u(v). Let q(d) = 0. What is d?
-8, -2, 0, 1
Let i(v) be the first derivative of -v**6/120 + 13*v**5/40 + 7*v**3/3 + v - 99. Let f(c) be the third derivative of i(c). Let f(b) = 0. Calculate b.
0, 13
Let f(x) be the third derivative of -x**6/40 - 4*x**5/15 + 89*x**4/24 - 15*x**3 - 2516*x**2. Factor f(d).
-(d - 2)*(d + 9)*(3*d - 5)
Suppose -31*n = 5 - 36. Let w be (8 + n)/((-243)/(-54)). Factor 3/5*t**w + 1/5*t**3 - 3/5 - 1/5*t.
(t - 1)*(t + 1)*(t + 3)/5
Let u(g) be the third derivative of -g**8/50400 + g**7/6300 + g**6/540 + g**4/3 - 5*g**3/6 + 2*g**2 + 5. Let i(n) be the second derivative of u(n). Factor i(o).
-2*o*(o - 5)*(o + 2)/15
Let w = -25 + 27. Suppose -6*n = -5*n - w. Find k, given that -17*k**2 + 4*k**3 + 19*k**2 + 12*k + 14*k**n = 0.
-3, -1, 0
Let x(q) = q**3 - 4*q**2 - q + 1. Let d be x(4). Let o be d + (2 - -13) + 3. Factor o*c**3 - 7*c**5 + 3*c - 2*c**2 + c**5 + 8*c**5 - 9*c**4 - 9*c**2.
c*(c - 1)**3*(2*c - 3)
Determine l so that 24*l + 0 + 202/3*l**2 = 0.
-36/101, 0
Let h be ((-52)/18)/((-16)/(-168))*-18. Let o = h + -546. Suppose o + 0*f**3 + 5/3*f**5 + 5/3*f**4 + 0*f + 0*f**2 = 0. What is f?
-1, 0
Let c = 70147 - 490936/7. Solve 0 - 6/7*f - c*f**3 - 99/7*f**2 = 0.
-1, -2/31, 0
Solve 53/2*g**4 + 11*g**3 + 14*g**5 + 0 - 3/2*g**2 + 0*g = 0.
-1, 0, 3/28
Factor 998*g - 153*g + g**4 + 447*g - 34*g**3 + 1444 + 213*g**2.
(g - 19)**2*(g + 2)**2
Let o(s) be the second derivative of s**4/6 + 7*s**3 - 100*s**2 - 3*s - 361. Factor o(y).
2*(y - 4)*(y + 25)
Let g(b) be the second derivative of 8*b**6/3 - 26*b**5 + 965*b**4/12 - 235*b**3/2 + 90*b**2 - 857*b. Factor g(d).
5*(d - 4)*(d - 1)*(4*d - 3)**2
Let c = 23/351 + -1493/24570. Let g(k) be the third derivative of 0 - 13/180*k**5 - 9*k**2 - 1/72*k**6 + 0*k + 1/3*k**3 + 1/72*k**4 + c*k**7. Factor g(m).
(m - 3)*(m + 1)**2*(3*m - 2)/3
Let d(n) be the first derivative of 0*n + 119 + 57/5*n**2 - 2/5*n**3. Factor d(q).
-6*q*(q - 19)/5
Let g(j) = -j**5 + 15*j**4 - 3*j**3 - 3*j**2 + 6*j + 3. Let r(q) = -q**5 + q**4 - q**3 - q**2 + 2*q + 1. Let u(v) = -2*g(v) + 6*r(v). Factor u(i).
-4*i**4*(i + 6)
Let l(i) be the third derivative of 81*i**7/35 + 99*i**6/8 + 121*i**5/10 - 47*i**4/2 + 12*i**3 + 1577*i**2. Let l(g) = 0. What is g?
-2, -3/2, 2/9
Let j = 28/1567 - -1371/10969. Determine v, given that 1/7*v**3 - 2/7*v + 0 + j*v**2 = 0.
-2, 0, 1
Suppose -8421732 + 49*m**2 - 52*m**2 + 2560907 + 16596*m - 17091443 = 0. Calculate m.
2766
Factor -365 - 483 - 135 - 338 - 1880*g + 61 + 15*g**2.
5*(g - 126)*(3*g + 2)
Let j(w) be the second derivative of -w**5/15 - 305*w**4/9 - 46816*w**3/9 - 46208*w**2/3 + 721*w. Factor j(k).
-4*(k + 1)*(k + 152)**2/3
Find l such that -24*l**3 + 2/3*l**4 + 160*l**2 + 0 + 3200/3*l = 0.
-4, 0, 20
Find z such that 0 - 155682/5*z - 1116/5*z**2 - 2/5*z**3 = 0.
-279, 0
Let u(o) be the third derivative of o**7/280 + 3*o**6/80 + 9*o**5/80 + o**4/8 - 2441*o**2. Let u(n) = 0. Calculate n.
-4, -1, 0
Let c(k) = k**5 + 2*k**4 + k**3 + 36*k**2 + 15*k + 19. Let n(z) = 2*z**3 + 10*z**2 - z - 1. Let l(y) = -c(y) + 5*n(y). Let l(t) = 0. What is t?
-3, -2, -1, 2
Let j(s) be the second derivative of -s**5/30 + 11*s**4/6 + 12*s**3 - 17*s + 11. Factor j(d).
-2*d*(d - 36)*(d + 3)/3
Solve -12765/2*p + 12321 - 1/2*p**3 + 112*p**2 = 0 for p.
2, 111
Solve 56/5*t - 12*t**2 - 2/5*t**4 + 24/5*t**3 - 18/5 = 0.
1, 9
Let f = -3586852/5 - -717372. Factor 4 - 1/5*w**2 + f*w.
-(w - 10)*(w + 2)/5
Let d(l) = -l**2 - l + 1. Let u(h) = -8 + 16 + 4*h**2 - 11 + 26*h - h**2 + 1. Let w(p) = -10*d(p) - 5*u(p). Determine j, given that w(j) = 0.
-24, 0
Suppose 2*s - 5*h - 32 = 0, 2*h - 23 = -5*s - 1. Let k be (((-40)/s)/(-4))/((-1)/(-3)). Factor -6*b**2 + 16*b**2 + 5 - k*b**2 + 0*b**2 + 10*b.
5*(b + 1)**2
Let k(j) be the third derivative of -j**7/1680 + j**6/360 + 29*j**3/6 - 2*j**2 - 19*j. Let q(o) be the first derivative of k(o). Solve q(t) = 0 for t.
0, 2
Let k(b) be the second derivative of -5*b**7/42 - 43*b**6/2 - 3963*b**5/4 + 63365*b**4/12 - 10780*b**3 + 10890*b**2 + 10*b + 1. Factor k(w).
-5*(w - 1)**3*(w + 66)**2
Let d(x) be the second derivative of 9/2*x**2 - 1/80*x**5 - 1/24*x**4 + 144*x + 5/8*x**3 + 0. Factor d(o).
-(o - 4)*(o + 3)**2/4
Let a be 3*(-96)/54*6. Let s be (-3)/10 - a/64. Solve 0*y**4 + 2/5*y**2 - 2/5 - 3/5*y - s*y**5 + 4/5*y**3 = 0.
-1, 1, 2
Let f(p) = 38*p**4 + 238*p**3 + 466*p**2 + 92*p - 114. Let b(l) = -77*l**4 - 475*l**3 - 935*l**2 - 180*l + 227. Let r(y) = -6*b(y) - 13*f(y). Solve r(h) = 0.
-5, -2, -1, 3/8
Let d(f) be the second derivative of -f**5/60 - 10*f**4/9 - 13*f**3/6 - 489*f + 2. Let d(j) = 0. Calculate j.
-39, -1, 0
Let j(o) be the first derivative of -9/2*o**2 + 0*o - 17*o**3 - 93. Find k such that j(k) = 0.
-3/17, 0
Let y(w) be the first derivative of -2*w**3/27 + 2806*w**2/9 - 3936818*w/9 - 3850. Suppose y(z) = 0. Calculate z.
1403
Let b = 512 - 509. Find p, given that 2*p**5 + 2*p**5 + 18*p**b + 28*p**4 - 3*p**5 + 68*p**2 - 5*p**5 - 86*p**3 - 24*p = 0.
0, 1, 2, 3
Let v(k) = 440*k**2 - 56185*k + 56200. Let h(g) = 25*g**2 - 3305*g + 3306. Let u(l) = -35*h(l) + 2*v(l). Factor u(n).
5*(n - 1)*(n + 662)
Suppose 205*g = 203*g + 1276. Suppose 0 = -643*l + g*l + 15. Find d such that 2/11*d**5 + 0 - 2/11*d**4 + 4/11*d + 2/11*d**2 - 6/11*d**l = 0.
-1, 0, 1, 2
Let r(w) = -w**3 - 3*w**2 + w - 7. Let f be r(-4). Let q be f/(-5 - -6) + 3. Determine p so that 5*p**2 + 5*p**2 - q*p**2 + 2*p = 0.
-1, 0
Let b(t) be the third derivative of 102 + 0*t + t**2 + 0*t**3 + 17/240*t**5 - 1/6*t**4 - 1/480*t**6. Determine v, given that b(v) = 0.
0, 1, 16
Determine c so that 42*c**2 + 2*c**4 - 40*c**2 - 363 - c**4 - 14*c**2 - 176*c + 174*c**2 - 24*c**3 = 0.
-1, 3, 11
Factor -72/5*q**2 + 128/5*q - 12 + 4/5*q**4 + 0*q**3.
4*(q - 3)*(q - 1)**2*(q + 5)/5
Let s(h) = h**4 + 29*h**3 - 134*h**2 - 3*h. Let y(q) = q + q**3 - q**4 + q**2 + 2*q**2 - 2*q**2 + q**2. Let r(k) = 2*s(k) + 6*y(k). Factor r(g).
-4*g**2*(g - 8)**2
Let y(i) = -5*i**2 + 7*i + 15. Suppose s - 21 = -89. Let x(p) = 56*p**2 - 76*p - 166. Let a(m) = s*y(m) - 6*x(m). Factor a(z).
4*(z - 6)*(z + 1)
Factor 0 + s**2 - 13/4*s**4 - 6*s**3 + 0*s.
-s**2*(s + 2)*(13*s - 2)/4
Let y be (10/(-4))/((-1)/34). Let z be (98/(-42))/(133/(-114)). Find t such that 93*t**z + y*t**2 - 10 - 168*t**2 + 5*t - 5*t**3 = 0.
-1, 1, 2
Let n(b) be the first derivative of 35/2*b**3 + 1/8*b**4 + 96 + 42875/2*b + 3675/4*b**2. Factor n(a).
(a + 35)**3/2
Let x(v) be the third derivative of 2*v**7/105 - 8*v**6/5 + 126*v**5/5 + 972*v**4 - 13122*v**3 - 8256*v**2. Let x(y) = 0. Calculate y.
-9, 3, 27
Let g(t) = -t**3 - 14*t**2 - 4*t + 19. Let o be g(-14). Find h such that -o*h**3 - 6*h**2 + 77*h**3 + 2*h**2 = 0.
0, 2
Solve -24*x**2 - 2579*x - 216 + 1676*x + 1488*x = 0 for