p - 15*p**3 - 2*p = 0.
-2, -1, 0, 1, 2
Factor -1/9*b**2 + 2/3*b - 1.
-(b - 3)**2/9
Factor 4*j**3 - 2253 + 284*j**2 + 5180*j + 4636 + 2517.
4*(j + 1)*(j + 35)**2
Let i = -7371 - -7373. Factor 2/3*v**2 + 0 - i*v.
2*v*(v - 3)/3
Let p(t) be the third derivative of -11*t**5/20 - 13*t**4/8 - t**3 + t**2 + 14. Factor p(v).
-3*(v + 1)*(11*v + 2)
Let h(c) = -4*c**2 - 7*c - 7. Let i(p) = 4*p**2 - 20 - 3*p**2 - 12*p**2 - 20*p. Let j(x) = -8*h(x) + 3*i(x). Suppose j(l) = 0. Calculate l.
-2
Let v(q) = 2*q**3 + 2*q**2 + q - 2. Let y be v(2). Factor -4*k**4 + 6*k**4 - 4 - 9*k**4 + 30*k**3 - 43*k**2 + y*k.
-(k - 2)*(k - 1)**2*(7*k - 2)
Let l be (-4 - -6)*2/(-4)*1. Let r be (-3 - 3/l)/2. Factor -2/5*v**2 + 0*v + r.
-2*v**2/5
Let v be 2/4*0/(-155). Suppose v*r**2 - 1/5*r**4 + 0 + 2/5*r**3 + 0*r = 0. What is r?
0, 2
Let g(k) be the third derivative of k**7/2100 + k**6/150 + 3*k**5/100 + k**4/15 + k**3/12 - 145*k**2. Determine z, given that g(z) = 0.
-5, -1
Let v be 6 + ((-8)/(-10))/(28/(-70)). Let y(m) be the first derivative of -m - 1/12*m**3 + v - m**2 + 3/16*m**4. Factor y(z).
(z - 2)*(z + 1)*(3*z + 2)/4
Let c = -9 - -15. Let a = c + -6. Factor 2*v + 5*v**2 - 7*v**2 + a*v.
-2*v*(v - 1)
Let r(c) be the third derivative of c**5/12 - c**4/3 - c**3/3 + 42*c**2 - c. Let x be r(2). Factor -35/2*m**4 - 49/4*m**5 + 0 + 5*m**x + 3/4*m**3 - m.
-m*(m + 1)**2*(7*m - 2)**2/4
Factor 6/7*l**2 + 2/7*l**4 + 8/7*l**3 + 0*l + 0.
2*l**2*(l + 1)*(l + 3)/7
Let w(r) be the second derivative of -125/84*r**7 - 8*r + 0 + 1/3*r**3 + 0*r**2 - 15/8*r**5 - 1/6*r**4 + 10/3*r**6. What is k in w(k) = 0?
-1/5, 0, 2/5, 1
Let h(a) be the second derivative of -3/10*a**3 + 1/5*a**2 + 0 + 1/15*a**4 - 10*a. Factor h(s).
(s - 2)*(4*s - 1)/5
Let o be 1101/3780 + 6/(-21). Let n(u) be the third derivative of 0*u**3 + 0*u + 0 - o*u**5 - 1/36*u**4 + 5*u**2. Suppose n(z) = 0. What is z?
-2, 0
Factor 4/7*z**3 - 48/7*z**2 + 0 + 44/7*z.
4*z*(z - 11)*(z - 1)/7
Let z = -98499/8 + 12315. Find n, given that -3 + 3/8*n**2 + z*n = 0.
-8, 1
Let v(i) = -i**2 - 7*i. Let s be v(-7). Let m(g) = g + 2. Let o be m(s). Factor -44*n**o - 1 + 25*n**2 + 20*n**2.
(n - 1)*(n + 1)
Suppose 0 = 2*j + j. Suppose -5*t + 5 = 5*n, 5*t + 2*n - 9 + 1 = 0. Factor 0 - 1/4*c**4 - 1/2*c**3 + 0*c**t + 1/4*c**5 + j*c.
c**3*(c - 2)*(c + 1)/4
Let t(a) be the second derivative of 1/9*a**3 + 0 + 1/54*a**4 + a + 2/9*a**2. What is i in t(i) = 0?
-2, -1
Factor -4/7*v**2 + 20/7*v - 16/7.
-4*(v - 4)*(v - 1)/7
Suppose 4*t = -3*z - 4, -3*t - 5*z - 3 = 11. Suppose -t = -4*b + 10. Factor -2 + 8*y**2 - 2*y - y**2 - 5*y**2 + 2*y**b.
2*(y - 1)*(y + 1)**2
Let f be 3/((-6)/(-212))*1. Suppose 0 = -i - 1, 4*y = 2*i + f + 12. Let -y + 16*p**2 + 4*p + 12*p**3 + 29 = 0. What is p?
-1, -1/3, 0
Let w = -3256 + 9769/3. Solve w - 13/6*t - 17/6*t**2 + 13/6*t**3 + 5/2*t**4 = 0 for t.
-1, 2/15, 1
Let x(g) be the second derivative of -6*g - 4/3*g**2 - 1/18*g**4 - 5/9*g**3 + 0. Factor x(h).
-2*(h + 1)*(h + 4)/3
Let p = -46 + 50. Let j(t) be the first derivative of 0*t**3 - 2*t**2 - 2/5*t**5 + 2*t + t**p - 3. Factor j(g).
-2*(g - 1)**3*(g + 1)
Let h(i) = -i**3 - 4*i**2 - 5*i - 2. Let r(f) = -3*f**3 - 13*f**2 - 17*f - 7. Let b(d) = 21*h(d) - 6*r(d). Factor b(n).
-3*n*(n + 1)**2
Let o(f) be the first derivative of -1/10*f**2 + 13 - 1/15*f**3 + 1/20*f**4 + 1/5*f. Factor o(j).
(j - 1)**2*(j + 1)/5
Suppose 60 = -3*n + 6. Let v be n*(-5)/20 - 3. Find i such that -3/4*i**3 + 0 - 3/4*i + v*i**2 = 0.
0, 1
Let k = 94 + -91. Let -9*d**k + 4*d**3 + 27*d - 22*d = 0. What is d?
-1, 0, 1
Let y be 15/60 + 2*(-11)/(-8). Suppose -b + 20 = 5*i + 4*b, 3*b = y*i - 12. Let 0*m**2 + 0 - 1/2*m**5 + 0*m + 1/2*m**3 + 0*m**i = 0. What is m?
-1, 0, 1
Let h be 10/(-25) - -4*1/10. Suppose -2/11*p**4 + h*p - 2/11*p**5 + 2/11*p**3 + 0 + 2/11*p**2 = 0. What is p?
-1, 0, 1
Let r be 5 + -6 + (-931)/(-343). Solve 3/7*m**5 - 6/7*m**4 - 9/7*m**3 + r*m + 12/7*m**2 + 0 = 0.
-1, 0, 2
Let z = 1315/3972 + 3/1324. Suppose z*x**5 + 0 + x**4 + 0*x + x**3 + 1/3*x**2 = 0. Calculate x.
-1, 0
Let t = 56 - 111/2. Let a(u) be the second derivative of 0 + t*u**2 - 2/3*u**3 + 5/12*u**4 + u - 1/10*u**5. Suppose a(p) = 0. Calculate p.
1/2, 1
Let l(z) = 3*z**2 + 45*z + 126. Let o(n) = 3*n**2 + 43*n + 126. Let a(j) = -4*l(j) + 3*o(j). Find c such that a(c) = 0.
-14, -3
Let u be 126/(-98) - 2/(-7) - -21. Let 5*c**2 - u*c - 35*c + 70*c + 10 = 0. What is c?
-2, -1
Let o be 1/4*(-1 - (-2 + -7)). Suppose -4*n = -4*u - 8, 4*n = -o*u + 2 + 6. Factor 2/7*b**n - 4/7*b + 2/7.
2*(b - 1)**2/7
Factor -85*x**2 + 126*x + 5*x**3 + 64 - 83*x - 169 - 215 + 357*x.
5*(x - 8)**2*(x - 1)
Let s(l) be the first derivative of l**3/12 - 5*l**2/8 + l - 35. Factor s(v).
(v - 4)*(v - 1)/4
Suppose -6 = -6*z + 6. Factor -2*q**z + 0*q**2 + 48*q - 40*q.
-2*q*(q - 4)
Let k(n) be the first derivative of 0*n + 11 + 1/8*n**4 + 5/6*n**3 + n**2. Solve k(f) = 0 for f.
-4, -1, 0
Let h be (6 + 5)*(8 + 3). Let m = 1211/10 - h. Factor -1/10*g**3 + 1/5*g**2 - m*g + 0.
-g*(g - 1)**2/10
Let l(c) be the second derivative of c**3/6 + 9*c**2/2 - 2*c. Let s be l(-5). Factor 7 - 4*t**3 - 3 - 4*t**4 + 2*t**s - 2 + 4*t.
-2*(t - 1)*(t + 1)**3
Let s be (12/(-2))/((-42)/12 + 2). Factor -62*u**3 + 2 + 3*u - 9*u**2 - 3*u**s - 2 + 71*u**3.
-3*u*(u - 1)**3
Let p(a) = -8*a - 136. Let z be p(-17). Let y(f) be the third derivative of 0*f + 0*f**4 + 5*f**2 + 0*f**6 + 0 + 0*f**3 + 1/105*f**7 + z*f**5. Factor y(h).
2*h**4
Let l(o) be the second derivative of o**7/294 - o**6/15 + 13*o**5/140 + o - 48. Let l(i) = 0. Calculate i.
0, 1, 13
Suppose 2/3*k**3 - 8*k**2 + 58/3*k - 12 = 0. Calculate k.
1, 2, 9
Let j(q) = -q**3 - 4*q**2 + 8*q - 2. Let w be j(-6). Suppose 5*t + 3*z - w = -0*z, 14 = 5*t + z. Find x, given that -x**t - 2*x**2 + 36 - 30 - 7*x = 0.
-3, 2/3
Let i(c) be the second derivative of c**4/108 + 31*c**3/54 - 16*c**2/9 - 64*c. Solve i(t) = 0 for t.
-32, 1
Let q(d) be the first derivative of d**6/3 - 26*d**5/5 + 45*d**4/2 + 50*d**3/3 - 250*d**2 + 23. Factor q(r).
2*r*(r - 5)**3*(r + 2)
Factor 4*g**3 + 23*g**2 + 2*g**4 + 12*g**2 + 0*g - 37*g**2 - 4*g.
2*g*(g - 1)*(g + 1)*(g + 2)
Suppose 0 = 7*j - 4*j. Suppose 5*y - 15 + j = 0. Factor 3*o**3 + 845*o**2 - 845*o**2 - y*o.
3*o*(o - 1)*(o + 1)
Let i = -14 + 17. Suppose -7*o**i - 4*o**2 + 7*o**3 - 2*o**3 - 2*o**3 = 0. Calculate o.
-1, 0
Let n = -128/9 - -694/45. Let i be (-7)/10*((-585)/(-63) - 11). Factor 0 - i*b**3 - 14/5*b**4 + 6/5*b**2 + 4/5*b - n*b**5.
-2*b*(b + 1)**3*(3*b - 2)/5
Let m = 932 - 932. Let g(w) be the second derivative of -1/100*w**5 + 12*w + 0*w**3 + 0 - 1/60*w**4 + m*w**2. Factor g(l).
-l**2*(l + 1)/5
Suppose -17 = -m - 15. Determine h, given that -h**2 + 0*h**2 + 16*h + 12 + 6*h**2 - h**m = 0.
-3, -1
Let t(r) be the second derivative of -r**7/14 - 6*r**6/5 + 3*r**5/10 + 6*r**4 - r**3/2 - 18*r**2 - 6*r. Let t(i) = 0. What is i?
-12, -1, 1
Let o(n) be the first derivative of n**8/336 + 13*n**3/3 + 3. Let b(f) be the third derivative of o(f). Let b(p) = 0. Calculate p.
0
Let t = -8035 - -8039. Factor 1/2*w - w**3 + 1/2*w**5 + 0*w**t + 0*w**2 + 0.
w*(w - 1)**2*(w + 1)**2/2
Let b(a) = -6*a**3 - 1064*a**2 - 75615*a - 1789553. Let l(h) = h**3 - h**2 - 2. Let n(v) = b(v) + l(v). Determine u so that n(u) = 0.
-71
Let q(h) = -h**2 + 13*h + 17. Let k(y) = -7*y**2 - 3*y - 4. Let d be k(-1). Let o(r) = -4*r**2 + 40*r + 52. Let t(u) = d*q(u) + 3*o(u). Factor t(i).
-4*(i - 5)*(i + 1)
Let x(p) be the first derivative of -p**5/5 - p**4 - 4*p**3/3 + 125. Let x(m) = 0. Calculate m.
-2, 0
Suppose -5*f - 16*n - 6 = -19*n, 4 = 4*f + 2*n. Let w be (2/(-10))/(1/(-2)). Let -w*l**2 + 0*l**3 + 2/5*l**4 + f + 0*l = 0. Calculate l.
-1, 0, 1
Let b(i) be the first derivative of -i**5/10 + i**4/2 - 2*i**3/3 + 11*i + 30. Let u(w) be the first derivative of b(w). Determine v, given that u(v) = 0.
0, 1, 2
Let h = -58 - -62. Let j(x) = -2*x**3 + 19*x**2 - 31*x + 23. Let l(u) = u**3 - 10*u**2 + 16*u - 12. Let m(w) = h*j(w) + 7*l(w). Find p, given that m(p) = 0.
2
Factor 41/5*u - 12/5 - 53/10*u**2 - 1/2*u**3.
-(u - 1)*(u + 12)*(5*u - 2)/10
Let z(g) be the third derivative of -2*g**7/105 + g**6/30 + g**5/3 + g**4/2 - 2*g**2. Factor z(a).
-4*a*(a - 3)*(a + 1)**2
Let q = 149 + -144. Suppose q*p + 2 = 6*p. Let 0 + 2/5*b**p + 0*b**3 + 0*b - 2/5*b**4 = 0. What is 