). Factor n(g).
(g - 10)*(g - 4)
Let r(g) = g**2 - 16*g + 35. Let o be r(14). Suppose -o*k - 5 = -26. Factor 2/9*x**k + 2/3 - 10/9*x + 2/9*x**2.
2*(x - 1)**2*(x + 3)/9
Let l(s) be the second derivative of s**4/4 + 14*s**3 + 81*s**2/2 + 2*s - 13. What is y in l(y) = 0?
-27, -1
Let u be 12 - 3 - (-1 + 0) - 6. Let o(r) be the third derivative of -7/120*r**5 + 9*r**2 + 0*r + 0*r**3 - 1/420*r**7 - 1/16*r**u + 0 - 1/48*r**6. Factor o(p).
-p*(p + 1)**2*(p + 3)/2
Let h(m) = 3*m - 14. Let s be h(6). Let p be (-3)/(0 + (-4 - -3)) + -1. Let -4*l**4 + 4 - s*l + 10*l - 8*l**3 + p*l = 0. Calculate l.
-1, 1
Factor 5/4*i**3 + 25/2*i**2 - 45/2 + 35/4*i.
5*(i - 1)*(i + 2)*(i + 9)/4
Let l(d) be the third derivative of -d**7/210 - 11*d**6/120 - d**5/4 + 67*d**4/24 - 20*d**3/3 + 32*d**2. Find g, given that l(g) = 0.
-8, -5, 1
Suppose 0 = h + 4*y - 12, -h - 2 = -2*h + y. Suppose 34*m**4 + h*m + 2*m**3 - 6*m - 35*m**4 + m**2 = 0. Calculate m.
-1, 0, 1, 2
Let q(d) = 21*d**3 + 168*d**2 - 203*d + 32. Let x(s) = 42*s**3 + 337*s**2 - 405*s + 71. Let u(o) = 5*q(o) - 2*x(o). Factor u(t).
(t - 1)*(t + 9)*(21*t - 2)
Let x(z) = 21*z + 443. Let i be x(-21). Solve 1/4*o**i + 0*o - 1/4 = 0 for o.
-1, 1
Let o = 2 + 0. Suppose -o*g + 6*w = 2*w, -5*g + 3*w + 14 = 0. Factor 5*u**3 + 2*u - u**4 - 6*u**3 - 5*u**3 + 5*u**g.
2*u*(u - 1)**2*(2*u + 1)
Let z(g) = 4*g + 15. Let l be z(-6). Let t(q) = 13*q**2 - 16*q + 3. Let v(s) = -3*s**2 + 4*s - 1. Let k(o) = l*v(o) - 2*t(o). Determine p so that k(p) = 0.
1, 3
Let m = -36393/815 + 74/163. Let n = -44 - m. Factor -n*j + 2/5 - 1/5*j**2.
-(j - 1)*(j + 2)/5
Suppose 0 = -o - 2*x - 2*x - 8, 0 = 2*o - 5*x - 10. Let z(q) be the first derivative of 4 + 0*q - 1/15*q**3 + o*q**2 + 1/20*q**4. Factor z(c).
c**2*(c - 1)/5
Let b(t) = 17*t**2 + 2*t - 7. Let c(r) = -8*r**2 - r + 3. Suppose 0 = 5*q - 3*f - 0*f + 12, 3*f + 3 = 0. Let m(a) = q*b(a) - 7*c(a). Find i such that m(i) = 0.
-1/5, 0
Factor -173 - 297*u**2 - 603*u - 130 + 897269*u**3 - 897266*u**3.
3*(u - 101)*(u + 1)**2
Let x(i) be the first derivative of i**6/80 + i**5/8 + 3*i**4/8 - 2*i**2 - 44. Let r(s) be the second derivative of x(s). Find n such that r(n) = 0.
-3, -2, 0
Suppose -23*d + 20*d + 81 = 0. Let h be d/45*(-20)/(-9). Factor 2/3*p**3 + h*p + 0 + 2*p**2.
2*p*(p + 1)*(p + 2)/3
Let b(f) be the second derivative of -f**5/25 + f**4/6 + f**3/5 + 6*f - 3. Factor b(q).
-2*q*(q - 3)*(2*q + 1)/5
Let v = 1980 + -9898/5. Factor 10 + v*q**2 - 4*q.
2*(q - 5)**2/5
Suppose -5*q - 3*w = 17 - 11, 4*q - 3*w = 6. Solve 0 + 1/3*i**2 + q*i + 1/3*i**3 = 0.
-1, 0
Factor 0 + 0 - 2*l**5 + 8*l**4 - 6*l**3.
-2*l**3*(l - 3)*(l - 1)
Suppose 23*x + 121 + 63 = 0. Let m be (1/x)/((27/6)/(-9)). Find h such that 1/4*h**4 + 1/4*h**3 - m*h**2 + 0 - 1/4*h**5 + 0*h = 0.
-1, 0, 1
Let a(q) = -2160*q - 17278. Let j be a(-8). Factor 0 + 1/11*t**j - 3/11*t**3 + 0*t.
-t**2*(3*t - 1)/11
Let j = -287 - -9185/32. Let t(d) be the third derivative of 0 + 1/12*d**3 - 1/480*d**6 + 0*d + j*d**4 + 0*d**5 + 6*d**2. Find c such that t(c) = 0.
-1, 2
Let v(l) be the second derivative of 0*l**2 + 0*l**4 + 1/10*l**5 + 0 - 1/3*l**3 - l. Factor v(g).
2*g*(g - 1)*(g + 1)
Let x(v) be the third derivative of 19/72*v**4 + 9/160*v**6 + 0*v + 0 + 11/40*v**5 + v**2 + 1/9*v**3. Let x(n) = 0. Calculate n.
-2, -2/9
Let z(s) = -3*s**2 - 264*s - 513. Let g(q) = q + 1. Let a(u) = 3*g(u) + z(u). Factor a(o).
-3*(o + 2)*(o + 85)
Factor y**2 + 0 - 7/4*y**3 + 0*y - 1/2*y**4.
-y**2*(y + 4)*(2*y - 1)/4
Let h(b) = 25*b + 650. Let z be h(-26). Factor z*g - 1/3*g**2 + 0.
-g**2/3
Let n(z) = -2*z - 10. Let k be n(-14). Suppose -38*q - k = -44*q. Factor 0*v + 1/7*v**q + 0*v**2 + 0 - 1/7*v**4.
-v**3*(v - 1)/7
Find i such that 10*i**2 + 186 - 25*i**4 + 35*i - 30*i**3 - 364 + 193 - 5*i**5 = 0.
-3, -1, 1
Let h be 8/28 + 24/14. Suppose 0 = 5*g + 2*d - 9, -4*g + 296*d - 301*d + 14 = 0. Find j, given that 1/2*j + 1/2*j**h - g = 0.
-2, 1
Let j(y) be the third derivative of y**5/60 - 7*y**4/8 + 10*y**3/3 + y**2 + 61. Factor j(x).
(x - 20)*(x - 1)
Let g = -965/4 + 242. Let s(r) be the first derivative of -2 + 0*r + g*r**2 - 1/4*r**3. What is o in s(o) = 0?
0, 2
Let w = 1586 + -9023/5. Let s = 223 + w. Let -14/5*k**4 + 0 - 4/5*k - s*k**2 - 32/5*k**3 = 0. What is k?
-1, -2/7, 0
Let a(q) be the third derivative of -q**6/280 + q**5/28 + q**4/4 - 16*q**2 + 2. Find b, given that a(b) = 0.
-2, 0, 7
Suppose -1 = -6*c + 11. Let s(l) = -l**3 + 5*l**2 - 5*l. Let k be s(c). Determine a so that 2/9*a**k + 2/9*a - 2/9*a**3 - 2/9 = 0.
-1, 1
Suppose -2*w + 9*w - 21 = 0. Let k(o) be the second derivative of 5*o - 8/9*o**w + 11/27*o**4 - 4/45*o**5 + 1/135*o**6 + 0 + o**2. Factor k(u).
2*(u - 3)**2*(u - 1)**2/9
Let r(y) be the second derivative of -y**4/6 - 376*y**3/3 - 35344*y**2 - 33*y - 3. Determine h so that r(h) = 0.
-188
Let f(j) = -j**2 - j + 7. Let a(d) = -d**2 - d + 8. Let p(o) = -6*a(o) + 7*f(o). Let u(l) = -l**3 + 4*l**2 + 13*l - 10. Let i(x) = 6*p(x) + u(x). Factor i(c).
-(c - 1)**2*(c + 4)
Suppose 6/11 + 32/11*c**2 - 6/11*c**4 - 4/11*c**3 - 28/11*c = 0. Calculate c.
-3, 1/3, 1
Let m(i) be the second derivative of i**6/40 + 27*i**5/80 + 21*i**4/16 + 19*i**3/8 + 9*i**2/4 + 163*i. Factor m(p).
3*(p + 1)**3*(p + 6)/4
Let g(r) be the third derivative of r**5/60 + 13*r**4/24 + 205*r**2. Let g(d) = 0. Calculate d.
-13, 0
Let q(o) be the first derivative of -o**6/30 + o**4/5 - 103. Determine r, given that q(r) = 0.
-2, 0, 2
Let h(m) = -3*m**4 + m**3 + m**2 - 3*m + 10. Let a(j) = j**4 - j**3 - j**2 + j - 4. Let g(c) = 5*a(c) + 2*h(c). Factor g(k).
-k*(k + 1)**3
Suppose -2 - 6 = -4*y. Let -2*l**2 + 20*l + l**2 + 15 + 6*l**y = 0. Calculate l.
-3, -1
Let u(x) be the first derivative of -x**4/20 + 14*x**3/15 - 13*x**2/10 + 118. Solve u(l) = 0.
0, 1, 13
Let t(n) = n**3 - 12*n**2 + 2*n - 20. Let x be t(12). Let h be 3/x*2*9/27. Find p, given that h*p**2 - p + 0 = 0.
0, 2
Suppose 0 = -2*c + 5*o + 19, -51*c - 13 = -50*c + 5*o. Determine i so that 2*i - 1/2*i**3 + 1/2*i**c - 2 = 0.
-2, 1, 2
Let g(n) be the second derivative of 1/15*n**6 - 1/6*n**4 + 1/3*n**3 - 3*n + 0 + 0*n**2 - 1/10*n**5. Solve g(w) = 0.
-1, 0, 1
Factor -35/3*u**2 + 140/3 - 5/3*u**3 + 20/3*u.
-5*(u - 2)*(u + 2)*(u + 7)/3
Let g(j) = -j**3 + 9*j**2 + 76*j + 96. Let m(z) = 10*z**2 + 75*z + 95. Let t(r) = 5*g(r) - 4*m(r). Solve t(a) = 0.
-2, 5
Let c be 106/24 + -3 + 6/(-8). Let s(b) be the second derivative of 7*b + 0*b**2 + 0 - 5/6*b**4 - 7/10*b**5 + c*b**3. Factor s(d).
-2*d*(d + 1)*(7*d - 2)
Let n be 6 + -13 + (4 - 189/(-36)). Let -n*c - 27/8 - 3/8*c**2 = 0. What is c?
-3
Let l = 1045/146 + 25/73. Find d, given that 3/2*d**5 + l*d**3 + 6*d**4 + 3*d**2 + 0 + 0*d = 0.
-2, -1, 0
Let g(p) be the first derivative of p**3/3 + 17*p**2 + 64*p - 350. Factor g(s).
(s + 2)*(s + 32)
Let j(r) be the third derivative of 3*r**8/56 + r**7/70 - 9*r**6/20 - 3*r**5/4 - r**4/4 + 3*r**2 - 49*r. Suppose j(c) = 0. What is c?
-1, -1/6, 0, 2
Let h be (-2)/(-18)*-1*-9. Let n be (h - ((-15)/(-8))/3)*3. Let 3/8*x**3 + 0 + 3/8*x**5 - 3/4*x + n*x**4 - 9/8*x**2 = 0. What is x?
-2, -1, 0, 1
Let g(x) = 31*x - 15. Let y be g(15). Let r be 2/(-2) - 3 - y/(-105). Find b, given that 1/7*b**4 - 3/7*b + 1/7*b**2 + 3/7*b**3 - r = 0.
-2, -1, 1
Let z(o) be the second derivative of -o**5/140 + o**4/28 + o**3/42 - 3*o**2/14 + 32*o - 1. Determine m, given that z(m) = 0.
-1, 1, 3
Let r(p) = -p + 3*p - 3*p**2 + 4*p - 1 - 2*p. Let m(h) = 5*h**2 - 8*h + 3. Let i(g) = -4*m(g) - 7*r(g). Determine s so that i(s) = 0.
-5, 1
Let f be (-6)/1*(-14)/28. Factor 5*t**3 - f*t**3 - 2*t**4 - t**3 + t**5.
t**3*(t - 1)**2
Let r(b) = 7*b + 95. Let j be r(-13). Factor -13/3*t**3 + 4*t**2 - 1/3*t**5 + 2*t**j - 4/3*t + 0.
-t*(t - 2)**2*(t - 1)**2/3
Factor 0 + 3/5*z**4 - 48*z + 168/5*z**2 - 39/5*z**3.
3*z*(z - 5)*(z - 4)**2/5
Let z = -16996 - -16998. Factor 4/3*d**z - 4/3*d**3 + 0*d + 0.
-4*d**2*(d - 1)/3
Suppose 0 + 2/19*d**4 + 42/19*d**2 + 36/19*d + 16/19*d**3 = 0. What is d?
-3, -2, 0
Suppose 4*n + 8 = 7*q - 11*q, n - 2*q - 10 = 0. Factor 15*u**2 + 8*u**4 + 2*u - 5*u**3 + 2*u**5 + 17*u**3 - 7*u**n.
2*u*(u + 1)**4
Let l(c) = 5*c**3 + 9*c**2 - c - 13. Let b(p) = -p**3 - p**2 + p + 1. Let t be 1 + 1 + 18/(-3). Let w(z) = t*b(z) - l(z). Factor w(r).
-(r - 1)*(r + 3)**2
Let y(q) be the second derivativ