q + 8. Let m(o) = j*l(o) - b(o). Suppose m(f) = 0. Calculate f.
-1, -2/5, 1, 3
Solve 44*b**2 + 38*b**2 - 60 - 65*b - 87*b**2 = 0.
-12, -1
Let m be (-22)/(-24) - 30/45. Factor -m*h**2 + 1/2 - 1/4*h.
-(h - 1)*(h + 2)/4
Let k(h) = -h**2 + 1. Let n(g) = 4*g**2 - 24*g + 70. Let o(u) = 4*k(u) + 2*n(u). Factor o(f).
4*(f - 6)**2
Solve -14/5*z - 12/5 + 6/5*z**3 - 2/5*z**4 + 6/5*z**2 = 0.
-1, 2, 3
Suppose 15 + 1 = 8*u. Factor -12*q**2 + 8*q - 3*q + 7*q**2 + 4*q**u.
-q*(q - 5)
Suppose -h + 152 - 149 = 0. Let w(i) be the third derivative of 0*i**h + 2*i**2 + 1/32*i**4 + 0 - 1/240*i**5 + 0*i. Find b, given that w(b) = 0.
0, 3
Factor -8*l + 6*l**3 + l**4 + 2*l - 6*l**2 + l**4 + 4*l**2.
2*l*(l - 1)*(l + 1)*(l + 3)
Let r(f) be the second derivative of 3*f**5/20 - f**4 - f**3/2 + 6*f**2 - f - 1. Factor r(w).
3*(w - 4)*(w - 1)*(w + 1)
Suppose 154 = 18*u + 100. Let d(r) be the second derivative of 1/3*r**u - 1/12*r**4 - 1/2*r**2 + 0 + 5*r. Determine w, given that d(w) = 0.
1
Let a(s) be the second derivative of s**6/45 - 22*s**5/15 + 94*s**4/3 - 1760*s**3/9 + 1600*s**2/3 + 266*s. Let a(z) = 0. What is z?
2, 20
Let b(c) = 2*c - 12. Let t be b(7). Let v(w) = -6*w**3 + 3*w**2 + 6*w - 3. Let i(n) = 5*n**3 - 2*n**2 - 5*n + 2. Let m(z) = t*v(z) + 3*i(z). Factor m(x).
3*x*(x - 1)*(x + 1)
Find s such that -s**4 + 97 - 52 + 8*s**3 - 45 = 0.
0, 8
Let g(b) be the first derivative of -b**5/5 + 5*b**4/4 - 5*b**3/3 - 5*b**2/2 + 6*b + 75. Let g(d) = 0. Calculate d.
-1, 1, 2, 3
Let a be 126/(-196)*(-6)/9. Factor 9/7 + a*x**2 + 3/7*x**3 - 15/7*x.
3*(x - 1)**2*(x + 3)/7
Let h = 7 - 4. Suppose -2*p = h*z + 2*p, -3*z = 5*p + 3. Factor -4*d**z + 25*d**3 - 2 - 32*d**3 - 3*d**2 + d**4 + 3*d + 4.
-(d + 1)**3*(3*d - 2)
Suppose 26 - 1 = j. Let r be 1 + 40/j - -1. What is d in 6*d**3 + r*d**4 + 0 + 2/5*d + 14/5*d**2 = 0?
-1, -1/3, 0
Let i be (-2343)/(-27) + 10/45. Factor 2*p**2 - 23 + i - p**2 + 16*p.
(p + 8)**2
Solve 2/5*l**2 - 54/5 - 12/5*l = 0.
-3, 9
Let -8*s**3 - 24/13*s**2 + 0 - 66/13*s**4 + 0*s + 14/13*s**5 = 0. What is s?
-1, -2/7, 0, 6
Let w(s) be the third derivative of 27*s**2 + 1/70*s**7 + 0*s + 0 - 1/20*s**5 - 1/8*s**4 + 1/40*s**6 + 0*s**3. Factor w(o).
3*o*(o - 1)*(o + 1)**2
Let z(g) be the first derivative of 0*g - 6 + 1/12*g**4 + 0*g**3 + 1/2*g**2 - 1/90*g**5. Let h(s) be the second derivative of z(s). Factor h(r).
-2*r*(r - 3)/3
Let u(a) be the third derivative of -1/12*a**6 - 2/3*a**3 - 3/10*a**5 + 0*a + 0 - 20*a**2 - 7/12*a**4 - 1/105*a**7. Factor u(t).
-2*(t + 1)**3*(t + 2)
Let o be 3/8 - (-4 + (-1967)/(-168) + -10). What is z in 10/3*z**3 + 16/3*z**2 + o*z + 2/3*z**4 + 0 = 0?
-2, -1, 0
Let q(v) = v - 24. Let f be q(14). Let c be 14/42*4/f*-18. Factor -c*j**2 - 3/5*j + 0.
-3*j*(4*j + 1)/5
Suppose 2/15*m**3 + 22/3*m + 18/5 + 58/15*m**2 = 0. What is m?
-27, -1
Let d = 7056 - 6456. Factor -580/3*q**3 - 720*q - d*q**2 - 288 - 4/3*q**5 - 80/3*q**4.
-4*(q + 1)**2*(q + 6)**3/3
Let g(k) be the first derivative of 5*k**3/2 - 17*k**2/4 + k - 79. Factor g(m).
(m - 1)*(15*m - 2)/2
Suppose -1 = -11*h + 65. Let p(c) = 0*c + 21*c + 11*c**2 + 20 + 4*c. Let k(i) = 155*i**2 + 350*i + 280. Let d(j) = h*k(j) - 85*p(j). Factor d(o).
-5*(o + 1)*(o + 4)
Let h(s) be the second derivative of 5*s**4/12 + 5*s**3/2 - 16*s. Solve h(b) = 0 for b.
-3, 0
Let w(n) = -n**4 + n**2 - 1. Let h(i) = -i**5 - 17*i**4 + 21*i**3 - 3*i**2 - 8. Let y(a) = 3*h(a) - 24*w(a). Factor y(v).
-3*v**2*(v - 1)**2*(v + 11)
Let o = -3521/430 + -1/86. Let h = o + 9. Solve -4/5 - 6/5*n + h*n**2 = 0.
-1/2, 2
Let f(a) be the first derivative of -3*a**4/4 + 9*a**2/2 + 6*a - 271. Factor f(x).
-3*(x - 2)*(x + 1)**2
Let z(d) be the second derivative of -d**6/30 - d**5/10 + d**4/12 + d**3/3 - 3*d**2 - 15*d. Let j(n) = n**2 + n + 1. Let f(q) = -2*j(q) - z(q). Factor f(a).
(a - 1)**2*(a + 2)**2
Suppose 3*k + 4 + 11 = 0. Let v = -4 - k. Suppose 4*r**2 + 3*r**3 - v - 2*r**3 - r**2 + r**3 = 0. Calculate r.
-1, 1/2
Let z(x) be the first derivative of -15*x - 5/3*x**3 - 12 + 10*x**2. Find q such that z(q) = 0.
1, 3
Let j(z) be the second derivative of z**5/20 - 7*z**4/12 + 4*z**3/3 + 8*z**2 + 451*z. Factor j(f).
(f - 4)**2*(f + 1)
Let p(g) be the first derivative of -200/9*g**3 + 8*g**2 + 0*g + 17 - 18/5*g**5 - 3*g**6 + 21*g**4. Solve p(i) = 0.
-3, 0, 2/3
Let s(t) be the second derivative of t**4/24 - 19*t**3/12 + 119*t. Let s(l) = 0. Calculate l.
0, 19
Let p(k) = 29*k - 314. Let v be p(11). Let y(o) be the third derivative of 7/132*o**4 + 1/110*o**v + 2/33*o**3 + 0 - 8*o**2 + 0*o. Factor y(n).
2*(n + 2)*(3*n + 1)/11
Let i(x) = -4*x**3 - 4*x**2 - 4*x - 1. Let j be i(-1). Find y, given that -1 + y - y**2 - 6*y + j*y = 0.
-1
Let i(h) = -3*h**2 + 5*h - 4. Suppose -5*n = -c + 16, -5*c = -2*n - n + 8. Let b(u) = 3*u**2 - 6*u + 3. Let k(d) = n*b(d) - 3*i(d). Factor k(q).
-3*q*(q - 3)
Let 3/5*q**2 - 51/5*q - 54/5 = 0. Calculate q.
-1, 18
Let y(p) be the first derivative of p**7/630 + p**6/120 + p**5/60 + p**4/72 + 7*p**2/2 + 6. Let u(o) be the second derivative of y(o). Factor u(s).
s*(s + 1)**3/3
Let s be 3 + 32/18 - 3. Suppose 0*r**3 - 32/9 + s*r**2 - 2/9*r**4 + 0*r = 0. Calculate r.
-2, 2
Let p be (3486/1245)/(14/10). Suppose 10/13*z**2 + p*z + 14/13 - 2/13*z**3 = 0. Calculate z.
-1, 7
Let v(c) = 12*c**4 - 10*c**3 - 18*c**2 + 16*c. Let q(s) = 10*s**4 - 9*s**3 - 19*s**2 + 18*s. Let j(p) = 2*q(p) - 3*v(p). Factor j(d).
-4*d*(d - 1)*(d + 1)*(4*d - 3)
Suppose r**3 + 55*r + 23*r - 3*r**3 + 76*r**2 = 0. Calculate r.
-1, 0, 39
Let m(y) = -y**2 - 3*y + 4. Let x be m(-3). Factor 45*k**2 - x*k - 84*k**2 + 6*k + 41*k**2.
2*k*(k + 1)
Let v(k) = -k**2 - 21*k + 7. Let g be v(-18). Let q = -61 + g. Solve 0*x + q + 0*x**2 + 1/8*x**3 = 0 for x.
0
Suppose 49*d - 14*d - 1365 = 0. Let 160/3*z**3 - 25*z**4 - 4/3 + 12*z - d*z**2 = 0. What is z?
1/3, 2/5, 1
Let c = 2328/13 + -25582/143. Factor -2/11*k - c*k**2 + 4/11.
-2*(k - 1)*(k + 2)/11
Let m be 2/11 - 100/(-2475). What is b in 6*b**2 + 0*b + 6*b**3 + m*b**5 + 0 + 2*b**4 = 0?
-3, 0
Let c(k) be the first derivative of -k**5/15 - k**4/3 - 5*k**2 + 15. Let u(m) be the second derivative of c(m). Solve u(w) = 0.
-2, 0
Let k(w) = w - 12. Let u(b) = 5*b - 61. Let x(m) = -11*k(m) + 2*u(m). Let c be x(0). Determine h so that 18*h**2 + c*h - 14*h - h**3 - 13*h**3 = 0.
0, 2/7, 1
Let m = 2656/9 - 295. Let d(w) be the first derivative of 0*w + 1/24*w**4 - 10 + 1/12*w**2 - m*w**3. Factor d(k).
k*(k - 1)**2/6
Let k be -2*(-4)/20*5. Let v(j) be the second derivative of 0 + 1/270*j**6 - 1/90*j**5 + 0*j**3 - 7*j + 0*j**k + 1/108*j**4. Determine q so that v(q) = 0.
0, 1
Let x(o) be the first derivative of -o**6/720 - o**5/30 - 7*o**4/48 + 49*o**3/18 - 14*o**2 + 16. Let b(l) be the second derivative of x(l). Factor b(g).
-(g - 2)*(g + 7)**2/6
Let d be (-6)/8*(-2736)/10. Let n = d + -204. Factor -3/5*t**5 - 3/5*t + n*t**3 + 0*t**4 + 0 + 0*t**2.
-3*t*(t - 1)**2*(t + 1)**2/5
Let y(c) = 22*c + 66. Let w be y(-3). Let b(r) be the third derivative of -1/75*r**5 + 2/15*r**3 + 1/300*r**6 - 1/60*r**4 + 0 - 12*r**2 + w*r. Factor b(t).
2*(t - 2)*(t - 1)*(t + 1)/5
Factor -3*s**2 + 119/3*s - 98/3 - 1/3*s**4 - 11/3*s**3.
-(s - 2)*(s - 1)*(s + 7)**2/3
Find o such that 3 + 8*o + 7 - 13*o**2 + 2 - o**5 + 40781*o**4 - 3*o**3 - 40776*o**4 = 0.
-1, 2, 3
Determine o so that 0 - o - 5/4*o**2 - 1/4*o**3 = 0.
-4, -1, 0
Suppose 47 = 4*u + h + 42, 0 = u - 3*h + 15. Let r(g) be the third derivative of -g**2 + u*g**3 - 11/150*g**5 + 0 + 0*g - 1/30*g**4 - 7/150*g**6. Factor r(p).
-2*p*(2*p + 1)*(7*p + 2)/5
Suppose 6 = 2*a + 2. Suppose -2*j = -z - 2, -a*j - z + 10 = 2*z. Suppose 0*u**4 - 2*u - 12*u**3 - j*u + 12*u**2 - u**4 + 5*u**4 = 0. Calculate u.
0, 1
Suppose -15 = -x - 11. Let j(l) be the second derivative of 0*l**3 - 1/4*l**4 + 0 + 0*l**2 - 1/14*l**7 + 3/20*l**5 - x*l + 1/10*l**6. Let j(y) = 0. Calculate y.
-1, 0, 1
Let o be ((-11)/22)/((-1)/4). Factor -5 + 28*g - 28*g + 5*g**o.
5*(g - 1)*(g + 1)
Let p(k) be the first derivative of -5*k**4/12 - 5*k**3/6 + 30*k**2 - 56*k - 30. Let m(n) be the first derivative of p(n). Factor m(y).
-5*(y - 3)*(y + 4)
Factor 93/7*m + 90/7 + 3/7*m**2.
3*(m + 1)*(m + 30)/7
Let b be -6 + (4 - 2) + 5. Suppose -v**2 + v + b + 3*v - 2 - 3 = 0. What is v?
2
Let u(o) be the third derivative of -o**8/10080 - o**7/945 - o**6/216 