d**2 + 0 + 2*d**4 = 0.
-1, 0, 2/3, 1
Let k(j) be the third derivative of j**8/168 + 22*j**7/105 + 14*j**6/5 + 72*j**5/5 - 36*j**4 - 864*j**3 + 75*j**2. Factor k(f).
2*(f - 2)*(f + 6)**4
Let b(v) = 3*v**2 + 2*v - 1. Let c(i) = -5*i**2 - 474*i + 189. Let u(z) = 5*b(z) + c(z). Factor u(m).
2*(m - 46)*(5*m - 2)
Suppose -2*k = 7*f - 8*f + 9, 3*f - 23 = 5*k. Let i be (-93)/(-62)*4/27*f. What is m in -2/9*m**4 + 0*m + 0 + 4/9*m**3 - i*m**2 = 0?
0, 1
Suppose 4*w + 41 = -7*l + 23, -4*l = -5*w - 48. Find u such that -1156/5*u**l - 272/5*u - 16/5 = 0.
-2/17
Let m = 27/40 - 19/40. Determine n so that 16/5*n**2 + 2/5 - m*n**5 + 6/5*n**4 - 9/5*n - 14/5*n**3 = 0.
1, 2
Let a(x) be the third derivative of 1/54*x**5 + 0*x + 1/54*x**4 - 4*x**2 + 0*x**3 + 1/180*x**6 + 0. Factor a(n).
2*n*(n + 1)*(3*n + 2)/9
Determine v, given that -41/2*v - v**2 + 20*v**3 - 10 + 1/2*v**5 + 11*v**4 = 0.
-20, -1, 1
Let u(f) be the second derivative of -f**8/2800 + f**7/700 + 7*f**6/600 + f**5/50 + f**3 - f. Let z(x) be the second derivative of u(x). Factor z(v).
-3*v*(v - 4)*(v + 1)**2/5
Let l = 1838 - 1835. Factor 0*d - 1/4*d**l + 0*d**2 + 0.
-d**3/4
Let x = -6450 - -77449/12. Let w = x - 11/4. Factor -2/3*z**3 + 2/3*z - 4/3*z**2 + w.
-2*(z - 1)*(z + 1)*(z + 2)/3
Let z(y) = -4*y**4 + 2*y**2 - 2. Suppose 3*p + 4*g = 10, 0*p + 2*p - 4 = -2*g. Let s(w) = w**2 + 1. Let x(b) = p*s(b) - z(b). Suppose x(l) = 0. Calculate l.
-1, 0, 1
Let o(w) = w**2 + w + 1. Let k(j) = -13*j + 12 + 39*j - 17*j. Let l(r) = k(r) - 3*o(r). Solve l(y) = 0.
-1, 3
Factor -7/3*w**2 - 56/3*w - 4 + 3*w**3.
(w - 3)*(w + 2)*(9*w + 2)/3
Let l(x) be the first derivative of -x**3 + 39*x**2 - 507*x - 88. Solve l(c) = 0.
13
Let u be -3 - ((-6)/(-4) - 3/(-6)). Let c(l) = 10*l**2 + 14*l - 12. Let r(i) = 9*i**2 + 13*i - 12. Let x(o) = u*c(o) + 6*r(o). Suppose x(q) = 0. Calculate q.
-3, 1
Let -26/9*v**2 + 2/9*v**3 - 50/3 + 110/9*v = 0. What is v?
3, 5
Let 5*r**4 + 5*r**5 + 10*r**4 - 10*r - 15*r**2 - 66*r**3 + 71*r**3 = 0. Calculate r.
-2, -1, 0, 1
Let b(o) be the second derivative of -o**7/28 - 2*o**6/5 + 39*o**5/20 + 21*o**4 - 441*o**3/4 + 12*o - 13. Factor b(g).
-3*g*(g - 3)**2*(g + 7)**2/2
Let n be (9/(-150))/((-9)/12). Let t = 33/100 - n. Factor -1/4*d**4 + 0 - 1/4*d + t*d**2 + 1/4*d**3.
-d*(d - 1)**2*(d + 1)/4
Let d(v) be the first derivative of v**3/27 + 14*v**2/9 + 52*v/9 + 16. Factor d(j).
(j + 2)*(j + 26)/9
Let n = 9 + 1. Suppose 4*z = 46 + n. Factor 16*l - 40*l**2 - 35*l**2 + z*l - 3.
-3*(5*l - 1)**2
Suppose 2*t + 0*t - 4*x - 12 = 0, 0 = 3*x + 6. Solve -3*o**3 + 4*o + 14 - 2 + o - 3*o**t + 7*o = 0.
-2, -1, 2
Suppose 10*g = 5*g + 10. Factor -a**2 - 12 + 3*a**g + 87*a - 85*a.
2*(a - 2)*(a + 3)
Let d be ((-64)/(-20))/(2*(-3)/(-15)). Let w(g) = -12*g**3 + 12*g**2 - 8. Let s(x) = 4*x**3 - 4*x**2 + 3. Let i(k) = d*s(k) + 3*w(k). Factor i(j).
-4*j**2*(j - 1)
Let k be -10 - (344/(-20) + 7). Let h(o) be the first derivative of 0*o**4 - 1/5*o**2 + 1/25*o**5 + 11 + 0*o - k*o**3. Factor h(u).
u*(u - 2)*(u + 1)**2/5
Suppose -3*d + 4*r - 4 + 22 = 0, 16 = 2*d - 4*r. Let q be d*6 - (-4)/2. Factor -g**2 - q*g + 6*g + 6 + 3*g**2.
2*(g - 3)*(g - 1)
Let l be (1 + -1)/(10 - 9). Let t be 5 + l/((-8)/2). Find n such that 2*n**4 - n**t + n - 3*n**4 - 2*n**2 + 3*n**4 = 0.
-1, 0, 1
Suppose -26*l + 15 = -23*l. Find b, given that 255*b**2 + 6*b**3 - 3*b**4 - 249*b**2 + 2*b + l*b**4 = 0.
-1, 0
Let b = 11 - 9. Suppose b*n - 1 = 5. Determine z, given that -4*z**3 - z**4 - 4*z - 5*z**n + 12*z**3 = 0.
-1, 0, 2
Suppose -8 = -6*c + 2*c. Suppose -c*q = 3*q + 10, -20 = -5*m + 5*q. Factor 125 - 32*n - 12*n - 6*n + 5*n**m.
5*(n - 5)**2
Let j = -2 + 5. Suppose v + 29 = 5*x, -2*v = j*x - 0*v - 7. Factor -3*d**3 + x*d**2 - 3*d**2 + d**2.
-3*d**2*(d - 1)
Suppose -8*m - 3 = -9*m. Factor 59*o**4 + 20*o - 25*o**m + 7*o**5 - 2*o**5 - 15*o**2 - 44*o**4.
5*o*(o - 1)**2*(o + 1)*(o + 4)
Determine l, given that 5 + 16 - 7 + 1 + 5*l**2 - 20*l = 0.
1, 3
Let t(c) = 6*c**2 + 2*c - 5. Let f(r) = 8*r**2 + 3*r - 7. Let m(p) = -5*f(p) + 7*t(p). Let w be m(0). Let 1/2*q + w - 1/4*q**2 = 0. What is q?
0, 2
Suppose 2/3*a**2 + 16 + 28/3*a = 0. What is a?
-12, -2
Find u, given that 2*u**2 - 59/5*u**3 + 9/5*u**5 + 0*u + 0 + 84/5*u**4 = 0.
-10, 0, 1/3
Let l(v) be the third derivative of v**6/84 - 23*v**5/70 + 11*v**4/4 + 7*v**3/3 - 2*v**2 + 5. Determine g so that l(g) = 0.
-1/5, 7
Let j(w) = -2*w**5 + 8*w**4 - 10*w**3 - 15*w**2 + 7*w + 7. Let u(p) = p**5 - p**4 - p**3 + p + 1. Let d(b) = -j(b) - 5*u(b). Suppose d(c) = 0. Calculate c.
-2, -1, 1, 2
Let a be (10 + (-1748)/175)*10/24. Let u(w) be the second derivative of 8*w + 0*w**4 - 1/150*w**6 + 0*w**5 + 0*w**3 + 0 - a*w**7 + 0*w**2. Factor u(f).
-f**4*(f + 1)/5
Suppose 0*x = 4*x - 12. Factor -x*h - 14*h**2 + 37*h**2 - 22*h**2 - 4.
(h - 4)*(h + 1)
Let o(n) = -4*n**2 + 19*n - 13. Let g(m) = 4*m**2 - 20*m + 12. Let a(l) = -3*g(l) - 4*o(l). Suppose a(t) = 0. What is t?
2
Let p(k) be the first derivative of -5*k**6/6 + 44*k**5/5 - 111*k**4/4 + 56*k**3/3 + 8*k**2 + 75. Determine t, given that p(t) = 0.
-1/5, 0, 1, 4
Let d(a) = a**3 - 3*a**2 + a + 2. Let p be d(3). What is w in 10 + 23*w + 15*w**2 - 112*w**4 - 65*w**3 + 2*w**p - 32*w**5 + 27*w**4 + 12*w = 0?
-1, -1/2, 2/3
Let y be 1/2 - (-1)/(168/(-177)). Let a = y - -13/14. Factor 7/8*m + a*m**3 - 1/4 - m**2.
(m - 1)**2*(3*m - 2)/8
Suppose -3*h + 3*x - x - 19 = 0, x - 32 = 4*h. Let w be 3 + 174/(-54) - 2/h. Factor w + 1/3*m**2 + 2/3*m.
m*(m + 2)/3
Let h(n) be the third derivative of 2*n**6/3 + 70*n**5/3 + 685*n**4/24 + 85*n**3/6 - 4*n**2 + n. Factor h(k).
5*(k + 17)*(4*k + 1)**2
Let q(a) be the third derivative of 1/8*a**4 + 0 - 1/80*a**6 + 0*a + 26*a**2 + 0*a**3 - 1/40*a**5. Factor q(j).
-3*j*(j - 1)*(j + 2)/2
Suppose -h - 34 = -5*u - 24, -2*u - 4 = -2*h. Suppose -5*i = 5 - 15. Solve 0 + 0*m - 2/11*m**h - 6/11*m**4 + 8/11*m**i + 0*m**3 = 0 for m.
-2, 0, 1
Suppose 0 = 7*t - 8*t + 2*j - 1, 0 = 4*t + 5*j - 9. Let a be (-35)/(-175)*(t + 0). Factor 0 - a*v**2 + 2/5*v.
-v*(v - 2)/5
Let c(g) = -14*g**3 - 6*g**2 + 14*g + 6. Let s = 6 - 9. Let k(t) = -5*t**3 - 2*t**2 + 5*t + 2. Let w(n) = s*c(n) + 8*k(n). Factor w(b).
2*(b - 1)*(b + 1)**2
Let w(s) be the third derivative of s**6/72 - s**5/6 + 5*s**4/8 - s**3 - 8*s**2. Let h(t) be the first derivative of w(t). Factor h(z).
5*(z - 3)*(z - 1)
Let o(k) be the third derivative of -k**8/168 + k**7/35 + k**6/60 - 11*k**5/30 + k**4 - 4*k**3/3 + k**2 - 24. Factor o(s).
-2*(s - 2)*(s - 1)**3*(s + 2)
Let m = 0 + -4. Let j be (49/14 - 4) + (-2)/m. Factor j*u + 1/3*u**3 + 0 - 1/3*u**2.
u**2*(u - 1)/3
Let r be (-15)/(-18)*3/(-60)*-2. Let s(k) be the first derivative of 28/3*k**3 - 12*k**2 - 4*k**4 - r*k**6 + 9/10*k**5 + 8*k - 5. Solve s(b) = 0 for b.
1, 2
Let a(o) be the third derivative of o**6/30 + 7*o**5/15 + 155*o**2. Let a(j) = 0. Calculate j.
-7, 0
Let l(f) be the second derivative of 35/12*f**5 + 34/9*f**3 + 15*f + 4/3*f**2 + 0 + 95/18*f**4. Factor l(t).
(5*t + 2)**2*(7*t + 2)/3
Let b(x) be the second derivative of x**5/160 - x**4/96 - 5*x**3/48 - 3*x**2/16 - 22*x + 1. Factor b(v).
(v - 3)*(v + 1)**2/8
Suppose 88/15*u + 34/15*u**2 + 56/15 + 2/15*u**3 = 0. Calculate u.
-14, -2, -1
Let l(n) = 14*n**2 - 3*n. Let j be l(2). Let c be (424/100 + -4)/(15/j). Let c*s**2 - 8/5 - 4/5*s = 0. What is s?
-1, 2
Let n = -3195/4 - -799. Solve n*u**2 + 4 - 2*u = 0.
4
Let g(q) = -q**3 + 5*q**2 + 4*q - 6. Let f be g(5). Suppose -2*l + 12 = 2*k + 2, l = 2*k + f. Factor 0*x**3 + 0*x**2 + l*x**2 - 9*x**2 - x**3.
-x**2*(x + 1)
Find l, given that -565*l**2 - 2343*l**3 - 1259*l - 703*l**4 - 517*l**3 + 98*l**4 - 320 - 821*l - 3695*l**2 = 0.
-2, -4/11
Let n be (2 - (-3 + -3) - 6) + 1. Solve 0*d**n - 8/3*d + 8/3*d**5 + 20/3*d**2 + 0 - 20/3*d**4 = 0 for d.
-1, 0, 1/2, 1, 2
Let c(y) be the third derivative of -y**8/112 + 19*y**7/70 - 49*y**6/20 + 31*y**5/10 + 99*y**4/8 - 81*y**3/2 - 49*y**2 + 2. Solve c(d) = 0.
-1, 1, 9
Let b(v) be the first derivative of v**6/210 - v**5/70 + 3*v**2/2 + 4. Let u(g) be the second derivative of b(g). Factor u(p).
2*p**2*(2*p - 3)/7
Let w(i) be the first derivative of 10/3*i**3 + 1/2*i**4 + 8*i + 12 + 8*i**2. Let w(a) = 0. What is a?
-2, -1
Let l(z) be the first derivative of 1/24*z**6 + 0*z**2 + 0*z**3 + 0*z - 1/10*z**5 + 1/16*z**4 - 7. Suppose