 + 0*u + 4*u**2 - 1/3*u**4 - 1/15*u**v + 8/3*u**3. Factor m(d).
2*(d - 2)**2*(d + 2)
Let c = 2291/2681 - -1/383. Let 2/7*a**5 + 0 + 24/7*a**3 - 12/7*a**4 - 20/7*a**2 + c*a = 0. Calculate a.
0, 1, 3
Let w be (-434)/105 - 2/(-15). Let f(a) = -a**3 - 3*a**2 + 3*a - 1. Let l be f(w). Factor 5 + 7*j - l + 4*j**2 - 4.
(j + 2)*(4*j - 1)
Suppose -4*m - 3*i = -2, 2*i + 36 - 24 = 4*m. Determine g so that -4/3*g**m + 0 + 2/3*g**3 + 2/3*g = 0.
0, 1
Let j(m) be the second derivative of -5/2*m**3 + 0 + 13/48*m**4 + 1/8*m**5 + 1/120*m**6 + 9/2*m**2 + 28*m. Determine q, given that j(q) = 0.
-6, 1
Let -805*a + 33*a**3 - 117*a**3 - 72 + 97*a + 496*a**2 = 0. Calculate a.
-2/21, 3
Let y(l) be the second derivative of l**4/4 + 15*l**3/2 - 24*l**2 - 91*l. Factor y(p).
3*(p - 1)*(p + 16)
Let f(j) = -49*j**4 + 280*j**3 + 151*j**2 - 211*j - 11. Let p(y) = 10*y**4 - 56*y**3 - 30*y**2 + 42*y + 2. Let i(n) = 2*f(n) + 11*p(n). Factor i(b).
4*b*(b - 5)*(b + 1)*(3*b - 2)
Let a(r) = 13*r - 128. Let z be a(10). Let y(p) be the third derivative of 0 + 0*p - z*p**2 - 1/60*p**6 + 0*p**5 + 2/3*p**3 + 1/4*p**4. Factor y(v).
-2*(v - 2)*(v + 1)**2
Suppose -3*p - 5*m = 45, -2*m + 15 = -2*p - 15. Let s = p - -17. Suppose -4*n**4 - 7*n**s + 2*n**2 + 8*n**3 + n**2 = 0. What is n?
0, 1
Suppose 34*a + 4*q = 38*a - 12, -4*a = -3*q - 14. Solve 6/5*f - 3/5*f**a + 0 + 9/5*f**4 - 9/5*f**2 - 3/5*f**3 = 0 for f.
-1, 0, 1, 2
Let k(f) = -f**4 + f**2 + f. Let d(c) = 9*c**4 - 18*c**3 + 30*c**2 - 30*c. Let x(y) = d(y) + 6*k(y). Factor x(j).
3*j*(j - 2)**3
Let g(r) be the third derivative of 0*r**3 + 0 - 2/15*r**5 + 1/336*r**8 + 0*r + 1/105*r**7 - 1/6*r**4 - 1/40*r**6 + 22*r**2. Solve g(u) = 0 for u.
-2, -1, 0, 2
Let a(s) = -s**2 + 2*s - 3. Let x be a(0). Let v be 3/1 + 1*x. Suppose 1/4*y**5 + 0 + 0*y**4 + 1/4*y + v*y**2 - 1/2*y**3 = 0. Calculate y.
-1, 0, 1
Let w(a) be the third derivative of 7*a**9/2160 + a**8/45 + 29*a**7/1260 + a**6/90 - a**5/6 + 3*a**2. Let h(x) be the third derivative of w(x). Factor h(f).
4*(f + 2)*(7*f + 1)**2
Let a(w) = w**5 - w**4 - 2*w**3 + w + 1. Let v(x) = -3*x**5 - 17*x**4 - 4*x**3 + 2*x + 2. Let n(o) = -2*a(o) + v(o). What is b in n(b) = 0?
-3, 0
Let z(o) be the third derivative of -o**9/3780 - o**8/560 + o**6/45 - 11*o**4/24 - 4*o**2. Let p(t) be the second derivative of z(t). Factor p(y).
-4*y*(y - 1)*(y + 2)**2
Let l = 1226563/151430 + 2/15143. Let h(m) be the first derivative of l*m**2 - 81/5*m - 9/5*m**3 + 3/20*m**4 + 13. Factor h(y).
3*(y - 3)**3/5
Suppose -4*d - 12 = 0, d + 13 = -0*k + 5*k. Let 4/3*b + 2/3*b**k + 0 = 0. Calculate b.
-2, 0
Suppose 5*h + 2*v = 0, 2*h + 22 - 1 = -5*v. Factor -1/4 - 1/4*q + 1/4*q**h + 1/4*q**3.
(q - 1)*(q + 1)**2/4
Let d(z) be the third derivative of z**5/80 + 21*z**4/32 - 23*z**3/4 + 349*z**2. Factor d(p).
3*(p - 2)*(p + 23)/4
Let r(s) be the third derivative of s**8/336 + s**7/105 - s**6/8 + s**5/15 + 5*s**4/6 - 2*s**2 + 9. Factor r(j).
j*(j - 2)**2*(j + 1)*(j + 5)
Let v(m) be the first derivative of -8*m**3/7 + 62*m**2/7 - 20*m/7 + 566. Factor v(x).
-4*(x - 5)*(6*x - 1)/7
Suppose 15 = -3*l + 9. Let y be (1 + 17)*(l - (-28)/12). Determine g, given that -10/3*g**4 - 8*g**3 - 4/3*g + 0 - y*g**2 = 0.
-1, -2/5, 0
Factor 2/11*b + 8/11*b**2 + 6/11*b**3 + 0.
2*b*(b + 1)*(3*b + 1)/11
Suppose 15*u - 31 = -1. Let p(t) be the first derivative of -4 + 2/7*t**3 - 6/7*t - 9/14*t**u. Factor p(j).
3*(j - 2)*(2*j + 1)/7
Let u(z) be the second derivative of 2*z**7/21 - 16*z**6/15 + 8*z**5/5 + 26*z**4/3 - 6*z**3 - 36*z**2 - 2*z - 11. Determine l so that u(l) = 0.
-1, 1, 3, 6
Let d(i) = i**3 + 13*i**2 + 10. Let f be d(-13). Suppose -5*a = 2*v - v - 19, v - f = -2*a. Factor 3 + 0*p + 4*p**2 - a - 2*p.
2*p*(2*p - 1)
Suppose -s - 1 = -5. Suppose 4 = 4*o - s. Determine d so that 3*d**2 - d**2 + d**4 - 2*d**3 - 3*d**2 + o*d = 0.
-1, 0, 1, 2
Let n = -36 + 37. Find r such that -1 - n + 2 - 4*r**2 + 4*r = 0.
0, 1
Let v(t) be the second derivative of 2*t**6/105 + 2*t**5/35 - 4*t**4/21 - 16*t**3/21 - 15*t. Factor v(l).
4*l*(l - 2)*(l + 2)**2/7
Let f(k) be the second derivative of -3*k**5/20 - k**4 - k**3/2 + 9*k**2 - 41*k. Let f(t) = 0. What is t?
-3, -2, 1
Let p(l) = 4*l**2 + 2*l + 1. Let i be p(-1). Find k such that 4 - 16*k - 7*k**4 + 16*k**i + k**4 + 8*k**2 - 6*k**4 = 0.
-1, 1/3, 1
Let t be 30/14 - (-3 + 1 + 3). Factor -8/7 - t*w**3 - 22/7*w + 38/7*w**2.
-2*(w - 4)*(w - 1)*(4*w + 1)/7
Determine w so that -16 - 2/3*w**2 + 28/3*w = 0.
2, 12
Let h(j) be the second derivative of 2*j**5/5 + j**4/2 + 2*j**3/3 - 3*j**2 + 9*j. Let a(q) = -q**3 - q**2 - q + 1. Let v(c) = 6*a(c) + h(c). Factor v(k).
2*k*(k - 1)*(k + 1)
Let l = -1309 + 1313. Suppose 2*d - 4 = f, -f = 4*d - 6*f - 2. Factor -n + d*n**3 - n**3 - n**l + n.
-n**3*(n - 2)
Factor -3/5*j**3 - 24/5*j + 0 - 18/5*j**2.
-3*j*(j + 2)*(j + 4)/5
Let a(v) be the second derivative of 0 + 1/36*v**4 - 3*v + 2/9*v**3 + 1/2*v**2. Factor a(i).
(i + 1)*(i + 3)/3
Suppose 265 = -20*n + 325. Factor 0*t**n - t - 1/2*t**4 + 3/2*t**2 + 0.
-t*(t - 1)**2*(t + 2)/2
Solve -16/7 + 80/7*k**3 - 4/7*k**4 + 20/7*k**2 - 64/7*k - 16/7*k**5 = 0 for k.
-2, -1, -1/4, 1, 2
Factor g**4 + 54*g**2 + 27*g**3 - 5*g**2 - 51*g**3 + 21*g**3 + 17*g**3.
g**2*(g + 7)**2
Let j = -7037/3 + 2346. Factor -j*o**2 - 16/3 - 8/3*o.
-(o + 4)**2/3
Suppose 0 = -5*r - 15, 3*r + 9 = -a - 0*a. Let o be (a + 0)*-1 - (-14)/63. Factor 4/9*b**2 - 2 - o*b**4 + 8/9*b**3 - 8/3*b.
-2*(b - 3)**2*(b + 1)**2/9
Let f = 3225/2 + -1612. Factor f*q**2 + 2*q + 0.
q*(q + 4)/2
Let j(z) be the third derivative of 0 + 0*z - 2/39*z**3 + 1/156*z**4 - 1/780*z**6 + 1/195*z**5 - 45*z**2. Solve j(m) = 0.
-1, 1, 2
Let o = -49 - -52. Let h(z) be the first derivative of 2/5*z**5 + 0*z**o - 2*z + 2*z**2 - 4 - z**4. Solve h(a) = 0 for a.
-1, 1
Factor 12*b**2 + b**5 + 4*b**3 + 2680466*b - 7*b**4 - 2680466*b.
b**2*(b - 6)*(b - 2)*(b + 1)
Let s = 12 - 10. Suppose s*h + 4*x = -3*h + 36, 0 = -4*h + 4*x. Factor 2 + 1 - 5 - 3*r + h + r**2.
(r - 2)*(r - 1)
Let u(z) = z**4 + z**3 + z**2 + z - 1. Let d(k) = 14*k**4 + 10*k**3 - 26*k**2 - 6*k + 38. Let h(i) = d(i) - 10*u(i). Factor h(b).
4*(b - 3)*(b - 1)*(b + 2)**2
Suppose 0 = -61*l - 55 + 55. Factor 0 + 40/3*g**2 + l*g - 245/3*g**5 + 350/3*g**4 + 260/3*g**3.
-5*g**2*(g - 2)*(7*g + 2)**2/3
Let t(c) = -c. Let r(j) = -j**2 - 10*j + 5. Let i = 130 - 135. Let b(s) = i*r(s) + 30*t(s). Solve b(o) = 0.
-5, 1
Factor 1/7*w + 6/7 + 1/7*w**3 - 4/7*w**2.
(w - 3)*(w - 2)*(w + 1)/7
Let a(x) be the second derivative of 1/38*x**4 + 2*x + 0*x**2 + 1/190*x**5 + 2/57*x**3 + 0. Find i such that a(i) = 0.
-2, -1, 0
Suppose -39*v = -32*v - 196. Let t(o) = 37*o**3 - 83*o**2 + 45*o + 11. Let g(f) = -204*f**3 + 456*f**2 - 248*f - 60. Let z(y) = v*t(y) + 5*g(y). Factor z(l).
4*(l - 2)*(l - 1)*(4*l + 1)
Let l = -6/199 - -283/2786. Let c(d) be the second derivative of -d + 0 + 0*d**2 + 1/28*d**4 - l*d**3. Factor c(m).
3*m*(m - 1)/7
Let m be (10/55)/((-8)/(-19 + -69)). Find v, given that -4/5 - 8/5*v - 4/5*v**m = 0.
-1
Let c(m) be the third derivative of m**8/336 - m**7/105 - m**6/24 + m**5/10 - 58*m**2. Find h, given that c(h) = 0.
-2, 0, 1, 3
Let l be 4/(-26) + (82/5863)/(1/102). Suppose -16/11*o**2 - 29/11*o - 1/11*o**3 - l = 0. Calculate o.
-14, -1
Let 18/5*r**2 + 12/5*r**3 + 12/5*r + 3/5 + 3/5*r**4 = 0. What is r?
-1
Suppose -3*f - f + 96 = 4*o, 93 = 4*f + o. Suppose -2*z + 2*t = -14, 2*z = 3*t + f - 5. Factor -48*c - 120*c**3 - 2*c**2 - 2*c**4 - 48 + 16 + 132*c**z.
-2*(c - 4)**2*(c + 1)**2
Suppose 5*g - 47 = -k, -4*k - g = -0*g - 188. Suppose 3*m - k = 2*h, -3*h - 16 = h. Suppose 8 + 10 + 3*t**2 - 4 + m - 18*t = 0. Calculate t.
3
Let 21799 + 1300*m + 5*m**2 + 27983 + 31253 + 3465 = 0. Calculate m.
-130
Suppose 4/5*a + 6/5*a**2 + 0 + 2/5*a**3 = 0. Calculate a.
-2, -1, 0
Let f(a) be the first derivative of a**5/8 + 5*a**4/8 - 5*a**3/3 + 16*a - 11. Let v(m) be the first derivative of f(m). Let v(t) = 0. What is t?
-4, 0, 1
Let r(y) = -y**2 - 10*y + 3. Let t be r(-10). Let b = -1487/5 - -298. Let 0 - b*n**2 - 3/5*n**t + 0*n = 0. What is n?
-1, 0
Factor 0 - 158/11*d**2 - 2/11*d.
-2*d*(79*d + 1)/11
Find n, given that -108 + 912/5*n - 4*n**2 = 0.
3/5, 45
Let m be ((-130)/(-25))/((-2)/(-5)). Suppose 0 = -m*j + j + 36. Suppose 2/11*i**2 - 1/11*i - 1/11*i**j + 0 = 0. What is i?
0, 1
Let 