e of 183*c - 7/4*c**4 + 0 - 9/2*c**3 - 3*c**2. Determine d so that r(d) = 0.
-1, -2/7
Let l(q) = 228*q**2 - 141*q + 1713. Let r(j) = -77*j**2 - 1. Let k(a) = -l(a) - 3*r(a). Find g such that k(g) = 0.
-57, 10
Factor -7*x**2 + 53/4*x - 13/2 + 1/4*x**3.
(x - 26)*(x - 1)**2/4
Determine s so that 2*s**3 + 13/4*s**2 - 9 - 1/4*s**4 - 8*s = 0.
-2, -1, 2, 9
Let m(u) be the second derivative of -u**5/540 + 13*u**4/108 - 169*u**3/54 + 38*u**2 + 3*u - 7. Let i(j) be the first derivative of m(j). What is w in i(w) = 0?
13
Let h = 80 - -102. Find r, given that -h + 2*r**2 - 24*r + 2*r - 34*r + 574 = 0.
14
Determine x, given that 0 + 20*x**4 + 128*x**3 - 2/7*x**5 + 1216/7*x**2 + 0*x = 0.
-4, -2, 0, 76
Let z(l) be the second derivative of l**7/231 + 434*l**6/165 + 23326*l**5/55 - 47524*l**4/33 + 176*l - 4. Factor z(t).
2*t**2*(t - 2)*(t + 218)**2/11
Factor 43/2*w**2 - 5/2 + 97/4*w - 21/4*w**3.
-(w - 5)*(w + 1)*(21*w - 2)/4
Let g(d) = 68*d**4 + 221*d**3 - 1603*d - 2135. Let i(p) = 6*p**4 + 20*p**3 - 146*p - 194. Let q(l) = -2*g(l) + 23*i(l). Factor q(h).
2*(h - 3)*(h + 2)**2*(h + 8)
Suppose -48/7*s - 114/7*s**2 - 12/7*s**4 + 3/7*s**5 - 81/7*s**3 + 0 = 0. What is s?
-2, -1, 0, 8
Suppose -v - 109 + 111 = 0. Suppose 4*a = 5*s - 529, -14*s = -11*s - v*a - 317. What is y in -32 - s*y - 5*y**5 - 15*y**4 + 30*y**3 + 50*y**2 + 16 + 61 = 0?
-3, 1
Suppose -13*w = 25*w + 418. Let b be (w - -8)/15 - 1*-1. Determine g so that -8/5*g**2 + 12/5*g + 0 - b*g**3 = 0.
-3, 0, 1
Let j(q) be the second derivative of q**5/5 - 11*q**4/3 + 70*q**3/3 - 50*q**2 - 1442*q. Factor j(g).
4*(g - 5)**2*(g - 1)
Let v(p) = -2*p**2 - 24*p - 10. Let y(i) = -4 - 3625*i**2 - 5*i - 5*i + 3624*i**2. Let w(g) = -5*v(g) + 12*y(g). Determine n so that w(n) = 0.
-1, 1
Let z = -19 - -77/4. Let q = 197 - 195. Factor 5/4*n - 3/2 - z*n**q.
-(n - 3)*(n - 2)/4
Suppose -2*z = 3*d + 24, 4*d + 611*z - 613*z - 24 = 0. What is w in -32/5 - 2/5*w**4 + 16/5*w**2 + 0*w + d*w**3 = 0?
-2, 2
Let o(n) = 2*n**4 + 2*n**3 - n**2 + n + 1. Let r(x) = -17*x**4 - 71*x**3 + 879*x**2 - 3925*x - 4849. Let z(w) = 36*o(w) + 4*r(w). Factor z(g).
4*(g - 22)**2*(g - 10)*(g + 1)
Let c(j) = -57*j**3 + 1746*j**2 - 3426*j - 18. Let u(s) = -16*s**3 + 499*s**2 - 979*s - 5. Let g(y) = 5*c(y) - 18*u(y). Factor g(z).
3*z*(z - 82)*(z - 2)
Let t(w) be the first derivative of -w**6/3 + 9*w**5/10 + 23*w**4/4 + 22*w**3/3 + 3*w**2/2 - 5*w/2 - 483. Solve t(v) = 0 for v.
-1, 1/4, 5
Let x = -598 - -593. Let p be x*((-110)/25 + 4). Factor 0 + 2/5*a**4 + 2/5*a**5 + 0*a**p + 0*a - 4/5*a**3.
2*a**3*(a - 1)*(a + 2)/5
Let t(p) be the first derivative of 2/9*p**3 - 112 - 1/18*p**6 - 2*p**2 + 0*p**5 - 8/3*p + 7/12*p**4. Determine z, given that t(z) = 0.
-2, -1, 2
Factor -351*r**2 + 35*r**4 - 20*r**4 + 30*r**4 + 2355*r**3 + 640*r - 2665*r**3 - 129*r**2.
5*r*(r - 8)*(r + 2)*(9*r - 8)
Let b(s) be the third derivative of -s**5/90 + 23*s**4/36 + 140*s**3/9 + 40*s**2 + 16. Find h, given that b(h) = 0.
-5, 28
Suppose 16 = 5*k - x, x - 12 = -2*k - 0*x. Let u be 31/((-589)/38) - (-4)/2 - 0. Factor u + 2/3*w**k + 11/6*w**2 - 13/6*w**3 - 1/3*w.
w*(w - 2)*(w - 1)*(4*w - 1)/6
Let c(l) be the second derivative of l**5/48 - 85*l**4/24 + 1445*l**3/6 + 5*l**2 - 42*l + 1. Let y(h) be the first derivative of c(h). Solve y(o) = 0 for o.
34
Let u(f) be the second derivative of -f**7/189 - 64*f**6/135 - 31*f**5/15 - 92*f**4/27 - 61*f**3/27 + 2045*f. Find v such that u(v) = 0.
-61, -1, 0
Let z be 60/21*(-49)/(-14). Let u = 20 - z. Factor -u*h**3 - 15*h**4 + 10*h + 15*h**2 - 1190 + 1190.
-5*h*(h - 1)*(h + 1)*(3*h + 2)
Let w(l) be the second derivative of 0*l**2 + 6/5*l**5 + 0*l**3 + 13/6*l**4 + 0 - 79*l - 1/15*l**6. Factor w(q).
-2*q**2*(q - 13)*(q + 1)
Factor 204/7*d + 190 + 2/7*d**2.
2*(d + 7)*(d + 95)/7
Let c = -7789 + 7794. What is y in 2/5*y + 0 - 2/5*y**c + 0*y**3 + 4/5*y**4 - 4/5*y**2 = 0?
-1, 0, 1
Let k(a) be the first derivative of 2*a**2 + 5/3*a**4 + 2/15*a**5 + 56/9*a**3 - 30*a - 61. Factor k(p).
2*(p - 1)*(p + 3)**2*(p + 5)/3
Let f = 71 - 36. Let x(o) = 7*o**3 - 103*o**2 + 739*o - 1719. Let r(y) = -120*y**3 + 1750*y**2 - 12565*y + 29225. Let i(p) = f*x(p) + 2*r(p). Factor i(n).
5*(n - 7)**3
Let v be 2/4*(-319 - -323). Suppose 0 = 8*d - 9*d. Factor -v + d*a + 2/9*a**2.
2*(a - 3)*(a + 3)/9
Factor 0*q + 1/2*q**5 - 66*q**2 + 0 - 64*q**3 - 29/2*q**4.
q**2*(q - 33)*(q + 2)**2/2
Let j(z) be the third derivative of -z**6/240 + 31*z**5/120 + 127*z**4/24 + 38*z**3 + 1737*z**2. Solve j(m) = 0 for m.
-4, -3, 38
Let -1 - 10*f**2 - 154*f + 11 - 171*f + 484*f - 2*f**3 - 157*f = 0. What is f?
-5, -1, 1
Let d(t) be the first derivative of 0*t + 5/3*t**3 - 154 - 1/4*t**4 + 7*t**2. Determine j so that d(j) = 0.
-2, 0, 7
Let r(t) = 23*t - 322. Let g be r(-28). Let y = g + 968. Suppose -1/2*s**y + 0 - 1/6*s = 0. What is s?
-1/3, 0
Let j(o) = -52*o + 1154. Let p be j(22). Let b(m) be the first derivative of p*m**2 + 20*m - 26 + 5/3*m**3. Factor b(z).
5*(z + 2)**2
Solve 328*q - 53792 - 1/2*q**2 = 0.
328
Let k = 82514/226853 - 2/20623. Let y(p) be the second derivative of k*p**2 + 0 + 2/33*p**4 + 17/33*p**3 - 21*p. What is d in y(d) = 0?
-4, -1/4
Let t(r) be the second derivative of r**5/60 - 5*r**4/4 + 209*r**3/6 - 2527*r**2/6 - 1135*r. Factor t(x).
(x - 19)**2*(x - 7)/3
Let a(w) be the third derivative of -w**6/360 - 319*w**5/180 - 24955*w**4/72 + 25921*w**3/6 + 1789*w**2 - 3*w. Determine d so that a(d) = 0.
-161, 3
Let v(r) be the second derivative of 3*r**6/70 + 551*r**5/14 - 5121*r**4/28 + 3692*r**3/21 + 1230*r**2/7 + r + 992. Determine i so that v(i) = 0.
-615, -2/9, 1, 2
Factor 1/2*o - 3 + 1/2*o**2.
(o - 2)*(o + 3)/2
Let i be (-31 - -30)*(-4)/16. Factor 0 + 13/4*m**2 + 0*m + i*m**3.
m**2*(m + 13)/4
Let w(v) = -5*v**5 + 90*v**4 - 254*v**3 + 66*v**2 + 253*v - 168. Let r(u) = -u**5 - 4*u**2 - u. Let x(y) = 3*r(y) - w(y). Let x(o) = 0. Calculate o.
-1, 1, 2, 42
Let x = 281759/7 - 40377. Let i = x - -1767/14. Factor -1/2*s**2 + s - i.
-(s - 1)**2/2
Suppose 24*l - 26*l + y + 1 = 0, 5 = y. Let d(m) be the first derivative of -14*m**2 + m**4 + 16*m - 6 + 8/3*m**l. Factor d(g).
4*(g - 1)**2*(g + 4)
Let j(c) be the third derivative of c**6/24 - 161*c**5/12 - 5*c**4/24 + 805*c**3/6 - 2*c**2 - 1011*c. Factor j(y).
5*(y - 161)*(y - 1)*(y + 1)
Suppose 20*r + 26*r + 42 - 2*r**2 + 5*r**2 - 498 - 13*r = 0. What is r?
-19, 8
Let v be 1/3 - (-32)/(-24). Let j(l) = -6*l**3 - l**2 + l. Let p be j(v). Determine k so that -7*k**2 + 4*k**3 + 5*k**2 - 4*k + p*k - 2*k**4 = 0.
0, 1
Let z(w) = -371*w + 59. Let k be z(-1). Let n = k + -427. Let -2/3*q**n + 16/9 - 2/9*q**4 + 8/3*q + 4/9*q**2 = 0. What is q?
-2, -1, 2
Let k = -370201 + 370205. Factor 4/7*d**2 - 1/7*d**k + 3/7*d**3 + 0 + 0*d.
-d**2*(d - 4)*(d + 1)/7
Let n be (4 - 39)*65/(-364). Factor 0 + 3/4*o**3 + 2*o + n*o**2.
o*(o + 8)*(3*o + 1)/4
Let v = 507 - 103. Suppose -v = -f - 12. Factor -388 - 7*z + f + 4*z**2 - z.
4*(z - 1)**2
Let p(q) = 2*q**3 - 1276*q**2 + 2567*q - 1244. Let w(c) = -c**3 + 638*c**2 - 1282*c + 624. Let v(k) = 3*p(k) + 7*w(k). Factor v(z).
-(z - 636)*(z - 1)**2
Let m be 346/1557 + (-4)/90*563. Let h = m - -25. Find k, given that h*k**2 - 1/5*k**4 + 1/5*k + 0 - 1/5*k**3 = 0.
-1, 0, 1
Let o(c) be the third derivative of -c**7/10080 - c**6/360 + 3*c**5/160 - c**4/12 + 5*c**3/2 - 45*c**2. Let v(t) be the second derivative of o(t). Factor v(j).
-(j - 1)*(j + 9)/4
Suppose h - 5*g = -0*g + 108, h - 132 = -3*g. Factor -81 + b + h*b**2 - 51 - 325*b - 108*b**2.
3*(b - 22)*(5*b + 2)
Determine l so that -105/4*l**3 + 183/2 + 3/8*l**5 - 2025/8*l + 210*l**2 - 45/2*l**4 = 0.
-4, 1, 61
Let r = 71088 + -354154/5. Let a = r - 257. Determine c so that a + 1/10*c**2 - 3/10*c = 0.
1, 2
Factor -281/5*u - 2/5 + 141/5*u**2.
(u - 2)*(141*u + 1)/5
Let j(a) = -14*a**3 - 65*a**2 - 275*a - 375. Let l(n) = 25*n**3 + 130*n**2 + 550*n + 750. Let d(i) = -5*j(i) - 3*l(i). Find y such that d(y) = 0.
-5, -3
Factor 342*h**2 - 6*h**3 - 1080*h + 2688*h + 453*h**2 + 807.
-3*(h + 1)**2*(2*h - 269)
Let s = 299567 - 299565. Determine a, given that 9/2 - 5*a + 1/2*a**s = 0.
1, 9
Determine s, given that 2125802*s**5 - 2125804*s**5 - 603*s - 736*s**2 - 453*s - 576 - 240*s**3 - 36*s**4 = 0.
-6, -2
Let b = 6526029/1186550 - 2/593275. Factor b*u**2 - 9/2*u - 1.
(u - 1)*(11*u + 2)/2
Le