*3 - 236*b**2 - 363*b. Determine y, given that n(y) = 0.
-4, 118
Suppose 0*t = -25*t + 149600. Let 0*a**2 - 7*a**2 - t + a**4 + 6*a + 5984 = 0. What is a?
-3, 0, 1, 2
Factor -1773*g**2 + 1191*g**3 + 10*g**5 - 9*g**5 + 1271*g**4 - 1474*g**4.
g**2*(g - 197)*(g - 3)**2
Let z be -2 - (6/(-18) + 0)*18. Let t(c) = 4*c**3 + 46*c**2 + 2*c + 6. Let a(u) = -u**3 - u**2 - u - 3. Let i(g) = z*a(g) + 2*t(g). Suppose i(y) = 0. What is y?
-22, 0
Let f = 20283 - 20280. Determine i so that 9/5*i**f + 36/5*i**2 + 12/5*i - 3*i**4 + 0 = 0.
-1, -2/5, 0, 2
Let j(c) = 42*c**2 + 107*c + 24. Let x(v) = -9*v - 4. Let n be x(0). Let q(y) = 14*y**2 + 36*y + 8. Let k(r) = n*j(r) + 11*q(r). Solve k(o) = 0 for o.
-2, -2/7
Let p = 1015 + -1011. Let r = -388/7 + 1996/35. Factor 28/5*w**3 - r*w + 0 - p*w**2.
4*w*(w - 1)*(7*w + 2)/5
Let d = -161 - -164. Factor 674*q - 2*q**d + 12 - 340*q - 336*q - 8*q**2.
-2*(q - 1)*(q + 2)*(q + 3)
Suppose 27*y - 3/5*y**2 + 0 = 0. What is y?
0, 45
Let k(u) = 2*u**4 - 4*u**3 + 36*u**2 - 52*u - 2. Let p(n) = -2*n**4 + 2*n**2 + 2*n + 1. Let l(i) = k(i) + 2*p(i). Factor l(x).
-2*x*(x - 2)**2*(x + 6)
Let q(j) be the third derivative of -j**5/30 - 581*j**4/12 + 194*j**3 + 3136*j**2. Solve q(l) = 0 for l.
-582, 1
Let j(v) be the second derivative of -v**5/60 + 257*v**4/108 + 887*v**3/54 + 89*v**2/6 + 1207*v. Factor j(h).
-(h - 89)*(h + 3)*(3*h + 1)/9
Let x(t) = -53*t**2 - 184*t - 575. Let l(d) = -21*d**2 - 92*d - 287. Let y(q) = 20*l(q) - 8*x(q). Suppose y(c) = 0. What is c?
-3, 95
Let f(m) be the first derivative of -3*m**4/4 - 3*m**3 + 150*m**2 - 288*m + 3136. Solve f(v) = 0 for v.
-12, 1, 8
Let r(c) be the third derivative of -3*c**2 + 2/63*c**7 - 11*c + 7/9*c**4 - 23/45*c**5 - 16/45*c**6 + 0*c**3 + 0. Determine p so that r(p) = 0.
-1, 0, 2/5, 7
Factor -1/3*a**2 + 599/3 - 598/3*a.
-(a - 1)*(a + 599)/3
Determine m so that 0*m - 32*m**2 + 1/2*m**3 + 0 = 0.
0, 64
Let x be (-16)/288*(-1 - 2). Suppose -5*q = -2*o - 17, -33*q - 15 = -37*q + 3*o. What is l in -1/3*l**2 + 1/3 - 1/6*l + x*l**q = 0?
-1, 1, 2
Let r(b) be the third derivative of -b**5/120 - 41*b**4/48 + 117*b**3/2 + 4528*b**2. Factor r(n).
-(n - 13)*(n + 54)/2
Suppose -2*b - 12 = -q, -42*q - 4*b = -45*q + 26. Solve 1/3 + 7/3*y**q + 8/3*y = 0 for y.
-1, -1/7
Let a(n) = n**2 + 310*n - 7655. Let b be a(23). Suppose -8/7 - 8/7*h**b + 2/7*h**5 - 4/7*h**3 + 16/7*h**2 + 2/7*h = 0. What is h?
-1, 1, 4
Let m(b) be the second derivative of 1/60*b**6 + 2 + 0*b**3 - 13/40*b**5 - 30*b + 0*b**2 + 0*b**4. Determine k so that m(k) = 0.
0, 13
Let y(z) be the second derivative of 8*z**6/15 - 7*z**5 + 17*z**4 - 26*z**3/3 - 14*z**2 - 1394*z - 2. Suppose y(i) = 0. What is i?
-1/4, 1, 7
Let y(i) be the first derivative of 0*i**4 + 0*i**3 - 17/2*i**2 + 0*i - 1/45*i**5 - 1/60*i**6 + 22. Let r(o) be the second derivative of y(o). Factor r(h).
-2*h**2*(3*h + 2)/3
Let m be -14 - ((-69)/6 + -2 + -2). Suppose -m - 7/8*l - 1/8*l**2 = 0. Calculate l.
-4, -3
Suppose t + 116 = 118. Let f = t - -5/2. What is u in 0 + f*u - 33/2*u**2 + 33/2*u**4 + 6*u**5 - 21/2*u**3 = 0?
-3, -1, 0, 1/4, 1
Let m(g) = 2*g - 1175*g**2 - g + 1176*g**2. Let d(f) = -2*f**3 + 4*f**2 - 2*f - 8. Let k(t) = 2*d(t) - 28*m(t). What is q in k(q) = 0?
-2, -1
Factor -1/4*x**2 + 168 + 13/2*x.
-(x - 42)*(x + 16)/4
Let p(r) = 278*r - 6113. Let b be p(22). Let o(h) be the first derivative of 1/26*h**4 + 9/13*h**2 + b - 4/13*h**3 - 8/13*h. Let o(c) = 0. Calculate c.
1, 4
Let k = -2767 + 2770. Let j(x) be the third derivative of 0*x**k + 13*x**2 + 0 + 0*x**4 + 1/180*x**5 + 0*x + 1/210*x**7 + 1/90*x**6. Factor j(u).
u**2*(u + 1)*(3*u + 1)/3
Let v(w) = -72*w + 373. Let y(i) = -62*i + 374. Let k(u) = 2*v(u) - 3*y(u). Let g be k(9). Factor 9/2 + 7/2*r**g - 1/2*r**3 + 17/2*r.
-(r - 9)*(r + 1)**2/2
Factor 103*h**2 + 5/2*h**3 + 431/2*h + 39.
(h + 2)*(h + 39)*(5*h + 1)/2
Let c(b) be the second derivative of 3 - 7/2*b**3 + 1/20*b**4 + 0*b**2 - 6*b. Let c(l) = 0. Calculate l.
0, 35
Suppose -15*h**3 - 92 + 19*h**2 + 392 + 215*h + 22*h**2 - 57*h**2 - 89*h**2 + 5*h**4 = 0. Calculate h.
-4, -1, 3, 5
Let t(a) be the first derivative of -14*a**3/9 - 697*a**2/3 + 200*a + 9286. What is p in t(p) = 0?
-100, 3/7
Let p = -160973/33 - -4878. Let z(c) be the second derivative of -1/110*c**5 + 13*c + p*c**3 - 1/22*c**4 + 0 + 3/11*c**2. Factor z(w).
-2*(w - 1)*(w + 1)*(w + 3)/11
Let f(a) be the third derivative of a**7/105 - a**6/10 - 34*a**5/15 + 25*a**4/2 - 77*a**3/3 - 2429*a**2. Factor f(g).
2*(g - 11)*(g - 1)**2*(g + 7)
Let s(f) be the first derivative of f**5/210 + 37*f**2/2 + 48. Let r(p) be the second derivative of s(p). Factor r(x).
2*x**2/7
Suppose 76/3 - 51/2*p + 1/6*p**2 = 0. What is p?
1, 152
Let w(i) be the third derivative of i**8/840 + i**7/420 - i**6/36 + i**5/20 + 52*i**3/3 - 2*i**2 + 13. Let d(v) be the first derivative of w(v). Factor d(y).
2*y*(y - 1)**2*(y + 3)
Factor 10400/3*x + 21632/3 - 206/3*x**2 + 1/3*x**3.
(x - 104)**2*(x + 2)/3
Suppose -8*u**3 - 8*u**2 - 53*u**3 + 62*u**3 - 10 + 17*u = 0. What is u?
1, 2, 5
Let t(p) = -42*p**3 + 298*p**2 + 1408*p - 86400. Let j(q) = -8*q**3 + 60*q**2 + 282*q - 17280. Let a(v) = 16*j(v) - 3*t(v). Suppose a(h) = 0. What is h?
-15, 24
Let n = -16786 - -16801. Let z(p) be the second derivative of -n*p**2 + 21*p - 5/12*p**4 + 35/6*p**3 + 0. Solve z(d) = 0 for d.
1, 6
Let x = 9/98134 + 1864519/294402. Find c such that 32/3*c + 18*c**2 + 2/3*c**4 - 32/3 + x*c**3 = 0.
-4, -2, 1/2
Let p be (2 - 14)*(1 + 7/(-3)). Suppose 0 = 8*t - 0 - p. Let -2 + 3 + 31*f**2 + 44*f + 3 + 90*f**t = 0. Calculate f.
-2/11
Suppose -4*z = -0*z. Let r be -3 - ((2 - (7 + -14)) + (-682)/55). Factor -4/5*d**3 + z*d + 0*d**2 + 0 + r*d**4 + 2/5*d**5.
2*d**3*(d - 1)*(d + 2)/5
Suppose -9*c + 32*c = 1 + 45. Let m(y) be the first derivative of 1/57*y**6 + 0*y**3 + 0*y**4 + 30 + 2/95*y**5 + 0*y**c + 0*y. Factor m(z).
2*z**4*(z + 1)/19
Let j(k) be the first derivative of k**5/20 - 5*k**4/6 + 15*k + 25. Let t(w) be the first derivative of j(w). Factor t(i).
i**2*(i - 10)
Let w(h) be the third derivative of -3*h**6/40 + 14*h**5/5 + 3*h**2 - 154*h. Solve w(r) = 0.
0, 56/3
Determine z, given that -44/9*z**3 + 4/9*z**2 + 2*z**4 + 14/3*z + 2/9*z**5 - 22/9 = 0.
-11, -1, 1
Let d = 4 + -4. Let h = -161305 - -161309. Factor d - 2/9*f**3 - 1/9*f**2 + 0*f - 1/9*f**h.
-f**2*(f + 1)**2/9
Solve 15*d**3 + 103 - 114*d**2 + 3*d**2 - 104 - 59 + 192*d = 0.
2/5, 2, 5
Let o(x) be the third derivative of -x**6/420 + 41*x**5/15 - 11767*x**4/12 - 3550*x**2 + 2*x. Factor o(a).
-2*a*(a - 287)**2/7
Let q(i) be the first derivative of -7*i**3 + 3/4*i**4 - 27*i + 77 - 51/2*i**2. Factor q(s).
3*(s - 9)*(s + 1)**2
Let l(s) be the second derivative of s**5/70 - 61*s**4/7 + 14884*s**3/7 - 1815848*s**2/7 + 5*s + 75. Factor l(c).
2*(c - 122)**3/7
Let c(n) be the third derivative of n**6/110 + 91*n**5/330 - 2004*n**2. Let c(w) = 0. What is w?
-91/6, 0
Let y(k) be the third derivative of 27*k**2 - 31/75*k**5 + 0 + 17/2*k**4 + 1/150*k**6 - 30*k**3 + 0*k. Solve y(o) = 0.
1, 15
Let f be 68 - 72/(-9) - 9. Suppose -q + f - 65 = 0. Factor 1/4*m**5 + 0*m + 0 + 0*m**4 + 1/2*m**q - 3/4*m**3.
m**2*(m - 1)**2*(m + 2)/4
Determine q, given that -5*q**2 + 0 + 167/4*q**4 - 54*q**3 + 4*q - 7*q**5 = 0.
-2/7, 0, 1/4, 2, 4
Let g(h) be the third derivative of 1/300*h**6 + 0 + 2/15*h**5 + 0*h + 77/60*h**4 - 24*h**2 - 242/15*h**3. Factor g(m).
2*(m - 2)*(m + 11)**2/5
Let f(w) be the first derivative of -w**6/9 - 22*w**5/15 - 37*w**4/6 - 10*w**3 - 6*w**2 - 824. Suppose f(h) = 0. What is h?
-6, -3, -1, 0
Let h(r) = 21*r**2 - 1136*r - 1040. Let f be h(55). Determine q so that -46/7*q**2 + 8/7 + 0*q - 34/7*q**4 - 6/7*q**f - 66/7*q**3 = 0.
-2, -1, 1/3
Factor 205/4*u**2 - 116*u - 25/4*u**3 + 80.
-(u - 5)*(5*u - 8)**2/4
Let i(c) be the first derivative of -2*c**3/5 - 211*c**2/5 + 284*c/5 - 5915. Factor i(s).
-2*(s + 71)*(3*s - 2)/5
Let x(b) be the third derivative of b**7/525 + 8*b**6/25 + 14*b**5 + 3332*b**4/15 + 24*b**2 + 14*b. Let x(d) = 0. Calculate d.
-68, -14, 0
Let l(u) = -41*u**2 - 3216*u - 1453. Let v(j) = 10*j**2 + 807*j + 363. Let d(n) = -6*l(n) - 26*v(n). Let d(x) = 0. What is x?
-120, -3/7
Let t(y) be the second derivative of y**7/357 - 14*y**6/255 + 14*y**5/85 + 92*y**4/51 - 128*y**3/51 - 512*y**2/17 + 2464*y - 2. Find