**3/51 + 2*b**2/17 - 225. Find c such that t(c) = 0.
-1, 0, 1, 2
Let 18*z**2 - 9*z + 102*z**5 - 8*z**3 - 4*z**4 + 2*z**4 - 101*z**5 = 0. What is z?
-3, 0, 1, 3
Let d = 1609/9 - 3197/18. Let g = -5 + 7. What is w in 2/3*w**4 - d*w**g + 0 + 5/6*w**3 - 1/3*w = 0?
-2, -1/4, 0, 1
Let p = 149/3 + -49. Let k be 260/(-156)*26/(-10). Factor p + k*m**3 - 3*m**2 - 1/3*m - 5/3*m**4.
-(m - 1)**3*(5*m + 2)/3
Let i(s) be the first derivative of 0*s**3 + 2/35*s**5 - 1/7*s**4 + 1 + 0*s**2 + 0*s. Suppose i(v) = 0. What is v?
0, 2
Let h(p) be the second derivative of -169*p**6/10 + 546*p**5/5 + 633*p**4/4 - 122*p**3 + 30*p**2 + 339*p. Suppose h(s) = 0. What is s?
-1, 2/13, 5
Let h(g) = 2*g**4 - 41*g**3 - 480*g**2 + 41*g + 490. Let v(r) = -r**4 + 42*r**3 + 481*r**2 - 42*r - 488. Let i(d) = -2*h(d) - 3*v(d). Factor i(x).
-(x - 1)*(x + 1)*(x + 22)**2
Determine y, given that -3/4*y**2 + 0 - 7/4*y**3 + 3/4*y**5 + 7/4*y**4 + 0*y = 0.
-3, -1/3, 0, 1
Let d(j) = 4*j**2 + 2*j + 16. Let i(g) = 3*g**2 + 3*g + 15. Let r(p) = -5*d(p) + 6*i(p). What is h in r(h) = 0?
-1, 5
Suppose -17*u = 14*u - 14*u. Solve 2/3*f**2 - 1/3*f**4 - 1/3*f**3 + u + 0*f = 0.
-2, 0, 1
Let i(q) = 4*q**2 - 2*q - 5. Let f(r) = -3*r**2 + 3*r + 6. Let j(a) = 5*f(a) + 4*i(a). Factor j(g).
(g + 2)*(g + 5)
Let v(o) = -20*o**3 - 480*o**2 - 2316*o + 6736. Let p(s) = -4*s**3 - 96*s**2 - 463*s + 1347. Let k(a) = -24*p(a) + 5*v(a). Factor k(n).
-4*(n - 2)*(n + 13)**2
Factor -1/4*t**2 - 1/4*t + 1/2.
-(t - 1)*(t + 2)/4
Let d(l) = l**2 + 15*l - 14. Let q be (-464)/32 + (-6)/4. Let t be d(q). Find f such that 0*f**t - f**3 - 11 + 4 + 6 + f + f**2 = 0.
-1, 1
Let d = 43 + -37. Let n(x) be the third derivative of 2/27*x**3 + 0*x**5 - 1/540*x**d + 0 - 3*x**2 + 0*x + 1/36*x**4. Factor n(b).
-2*(b - 2)*(b + 1)**2/9
Let t(f) be the second derivative of 0*f**3 - 1/60*f**6 + 2*f**2 + 2/15*f**5 + 8*f - 1/4*f**4 + 0. Let r(h) be the first derivative of t(h). Factor r(g).
-2*g*(g - 3)*(g - 1)
Let f(o) = -26 - 2*o**2 + o**2 + 36 - 5*o - 2*o. Let h be f(-8). Factor -4 - h*c**2 - 2*c + c**3 + c + 0 + 6.
(c - 2)*(c - 1)*(c + 1)
Suppose -1/6*c + 23/6 + 1/6*c**3 - 23/6*c**2 = 0. What is c?
-1, 1, 23
Let n = 30 + -262/9. Let r = -9/11 - -103/99. Factor -n*f + 8/9 + r*f**2.
2*(f - 2)**2/9
Suppose 0 = z + 3, i = -2*i - 2*z + 9. Let 156*b**3 + i*b - 82*b**3 - 79*b**3 = 0. Calculate b.
-1, 0, 1
Let x(u) be the third derivative of 0 + 1/60*u**5 + 0*u**3 + 11*u**2 - 1/40*u**4 + 0*u. Factor x(f).
f*(5*f - 3)/5
Let i be (48/36)/((-10)/18 + 1). Factor 0*m**2 + 1/7*m**5 + 0*m + 1/7*m**4 + 0 - 2/7*m**i.
m**3*(m - 1)*(m + 2)/7
Suppose 7 - 22 = -q - p, 2*p + 10 = 2*q. Factor 3*t**3 + q*t**5 - 7*t**5 - 6*t**5.
-3*t**3*(t - 1)*(t + 1)
Let q = -136 - -682/5. Let z = 11/15 - q. Find w such that -z*w + 1/6*w**2 + 1/6 = 0.
1
Let l = 323 - 323. Let a(y) be the third derivative of 3/5*y**3 + 1/150*y**5 + l + 0*y + 1/10*y**4 - 6*y**2. Find z, given that a(z) = 0.
-3
Let n be 5/1 - 9429/1890. Let o(p) be the third derivative of 0 + 3*p**2 + 0*p + 0*p**3 - 1/150*p**5 + 1/900*p**6 + n*p**4. Factor o(g).
2*g*(g - 2)*(g - 1)/15
Let p(w) be the third derivative of w**6/210 - w**5/105 - w**4/21 + 205*w**2. Factor p(x).
4*x*(x - 2)*(x + 1)/7
Let i(u) be the second derivative of 74/3*u**3 - 36/5*u**6 - 28*u**2 + 0 + 6/7*u**7 - 14*u**5 - 12*u + 44/3*u**4. What is r in i(r) = 0?
-1, 1/3, 2/3, 7
Let m(q) = q**2 - 2*q. Let x be m(2). Suppose -2*w + x = -8. Determine s so that 17*s**3 + 3*s**w - 3*s**2 - 17*s**3 = 0.
-1, 0, 1
Let d(g) be the second derivative of -169*g**4/6 + 104*g**3 - 144*g**2 - 661*g. Determine z, given that d(z) = 0.
12/13
Let a(j) = 1. Let n = 9 + -7. Let c(x) = 14 - 2*x**2 + 7*x**2 - 7*x**n. Let q(f) = -12*a(f) + c(f). Factor q(s).
-2*(s - 1)*(s + 1)
Let s = -72 - -164. Let m = 830/9 - s. Factor -2 - m*t**2 + 4/3*t.
-2*(t - 3)**2/9
Let f(d) be the second derivative of 27*d**7/56 - 27*d**6/20 + 27*d**5/20 - 5*d**4/8 + d**3/8 + 67*d + 2. Let f(w) = 0. What is w?
0, 1/3, 1
Let q(s) = -3*s + 38. Let k be q(12). Let z be 50/210 - (-3)/7. Let z*n**k + 0 - 2/3*n**5 - 2/3*n**4 - 4/3*n + 2*n**3 = 0. Calculate n.
-2, -1, 0, 1
Let v = 31/111 + 483/37. Solve 4/3*x**2 + 100/3 + v*x = 0 for x.
-5
Let c(b) be the first derivative of 5*b**3/2 + 89*b**2/4 - 3*b - 106. What is a in c(a) = 0?
-6, 1/15
Suppose -2144*i + 74 = -2107*i. Factor -3/2*b**4 + 3/2*b**3 + 0 + 0*b + 0*b**i.
-3*b**3*(b - 1)/2
Let h(m) be the first derivative of -m**4/6 - 52*m**3/9 - 25*m**2/3 - 80. Factor h(a).
-2*a*(a + 1)*(a + 25)/3
Let p be 5/(-3)*((-86)/1505)/((-2)/(-14)). Let -p*t + 2/9*t**2 - 8/9 = 0. What is t?
-1, 4
Let q be -5 - (208/(-13) + 11). Factor q - 1/4*h + 1/4*h**2.
h*(h - 1)/4
Let a(o) be the third derivative of o**6/40 + 9*o**5/20 - 5*o**4/4 + 211*o**2. Factor a(r).
3*r*(r - 1)*(r + 10)
Let r(h) = 2*h**3 + 15*h**2 + 18*h - 7. Let p be r(-6). Let j be 4/30 - p*12/45. Determine z so that 1/4*z**j + 0 + 1/4*z = 0.
-1, 0
Let c be -5*18/(-120)*4. Let h(v) be the third derivative of 1/336*v**8 + 0 + 1/105*v**7 + c*v**2 + 0*v - 1/30*v**5 + 0*v**4 - 1/120*v**6 + 0*v**3. Factor h(g).
g**2*(g - 1)*(g + 1)*(g + 2)
Let x(k) be the third derivative of -7*k**2 + 0*k + 2/21*k**7 - 5/112*k**8 + 5/24*k**4 + 0 - 1/3*k**5 + 0*k**3 + 1/12*k**6. Let x(p) = 0. Calculate p.
-1, 0, 1/3, 1
Let a be ((-8)/16)/((-52)/16 - -3). Factor -9/5 - 1/5*n**a - 6/5*n.
-(n + 3)**2/5
Let t(c) = 3*c**2 - 3*c - 9. Let n be t(-4). Determine i, given that n*i**2 + 178*i**2 + 39*i**2 + 136*i - 322*i**3 + 16 + 686*i**5 - 784*i**4 = 0.
-2/7, 1
Let l(n) = -n**2 - 1. Let u(q) = -4*q**2 - q - 4. Let r(c) = -5*l(c) + u(c). Let a(x) = 12*x**2 + 21*x + 84. Let o(v) = a(v) - 9*r(v). Factor o(w).
3*(w + 5)**2
Factor -36*h + 54*h**2 + 25 + h**2 - 10*h**3 - 34*h + 5*h**2 - 5*h**4.
-5*(h - 1)**3*(h + 5)
Let p(n) be the first derivative of -5*n**3/3 - 20*n**2 - 80*n - 29. Factor p(r).
-5*(r + 4)**2
Let j(z) be the first derivative of -2*z**3/3 - 2*z**2 - 2*z + 29. Find p, given that j(p) = 0.
-1
Find y such that -y**3 - 29*y**3 - 20*y**2 + 8*y + 2*y**3 = 0.
-1, 0, 2/7
Let c = 285 + -404. Let x = 123 + c. Find o such that 1/2*o + 7/4*o**2 + 1/4*o**5 + 0 + 9/4*o**3 + 5/4*o**x = 0.
-2, -1, 0
Let a be (-1 + 80/144)/(0 + (-4)/6). Factor -2/9*s**4 + a*s + 10/9*s**2 + 0 + 2/9*s**3.
-2*s*(s - 3)*(s + 1)**2/9
Let l = 31 + -2. Suppose -2*u = -a + 2*u - 9, 2*u = -2*a + 12. Factor l*o**2 + 10*o + 8*o**a - 6*o**2 - 4 - o**2.
2*(o + 1)*(o + 2)*(4*o - 1)
Let i(t) = 25*t**2 + 145*t - 350. Let m(p) = 2*p**2 + 11*p - 27. Let b(n) = 3*i(n) - 40*m(n). Factor b(h).
-5*(h - 2)*(h + 3)
Let f(p) = 5*p**3 + 11*p**2 + 19*p + 10. Suppose 4*o = 4*r + 20, 0*r = r + o + 7. Let z(t) = t**3 - t**2 - t. Let v(g) = r*z(g) + 2*f(g). Factor v(c).
4*(c + 1)**2*(c + 5)
Let t(n) be the third derivative of 1/165*n**7 + 0*n**4 + 0*n**5 + 7*n**2 + 0*n**3 + 0*n - 1/330*n**6 + 0. Let t(z) = 0. What is z?
0, 2/7
Suppose -1 = g, 0 = -3*h + g + 7 + 6. Suppose h*d + 18 = 30. Find f, given that -f**3 + 11*f**d - 4*f**4 - 6*f**3 = 0.
0, 1
Let x be 0 + (8 - 5) - (3 + -7). Find w, given that -w**2 + 16*w + 5*w**2 + 7*w**2 - x*w**2 = 0.
-4, 0
Suppose 40 = -j + 13. Let d = j + 89/3. What is a in 0 + 2/3*a**3 - 10/3*a**2 + d*a = 0?
0, 1, 4
Suppose -b = s - 5*b + 17, 5*b - 25 = 0. Suppose s*f = -5*i - 3, -5*f + 42 - 10 = -4*i. Factor 0*v**3 + 4/9*v**2 - 2/9*v**f - 2/9 + 0*v.
-2*(v - 1)**2*(v + 1)**2/9
Let o be ((-52 - -1)/(-3))/((-1)/(-9)). Let f = -151 + o. Find t such that 2/5 - 2/5*t**f + 0*t = 0.
-1, 1
Let y(o) = -o**3 + o. Let i(x) = 3*x**3 - 14*x**2 + 5*x + 6. Let j(b) = 2*i(b) - 2*y(b). What is r in j(r) = 0?
-1/2, 1, 3
Let y = -1726 + 1728. Factor 0*r + 4/5*r**5 + 0*r**y + 6/5*r**4 + 0 + 2/5*r**3.
2*r**3*(r + 1)*(2*r + 1)/5
Let k be (-4)/14 + (560/49)/5. Suppose k = 13*w - 12*w. Factor -4/7 - 18/7*o - 8/7*o**w.
-2*(o + 2)*(4*o + 1)/7
Let y be 5/10*-18 + (-143)/(-13). Find v, given that 0*v + 64/5 - 12/5*v**y - 2/5*v**3 = 0.
-4, 2
Let h(b) = 2*b**3 + b**2 + b - 1. Let y(p) = 3*p**3 + 2*p**2 + 2*p - 2. Let i be 8 + (-5)/10*4. Let o(v) = i*y(v) - 10*h(v). Factor o(c).
-2*(c - 1)**2*(c + 1)
Let q be ((-60)/64)/((-3)/(-4))*-1. Factor 5/2 + q*m**3 - 15/4*m + 0*m**2.
5*(m - 1)**2*(m + 2)/4
Let r(u) = -13*u**2 + 8*u - 18. Let j(d) = 8*d - 5 - 1 - 11 - 11*d**2. Let s(k) = -6*j(k) + 5