 (21/(-6) + 2)/((-25)/(300/81)). Factor 0 + 4/9*b - k*b**2.
-2*b*(b - 2)/9
Suppose -2 = 2*b - 4*b. Let z = b + 1. Find d such that -28*d**2 + 24*d**2 - 4*d**3 - 12*d**z - 16*d = 0.
-2, 0
Let z(k) = -k**3 - 16*k**2 - 13*k + 30. Let h be z(-15). Let g be 4/(2 - h)*(10 - 9). Factor 6/5 - 3/5*a - 3/5*a**g.
-3*(a - 1)*(a + 2)/5
Suppose 0 = -t - 5, -3*b - 2*b - 3*t = -1550. Let h = 2195/7 - b. Let -4/7*l**3 + 10/7*l**2 + 0 - 10/7*l**4 + h*l = 0. Calculate l.
-1, -2/5, 0, 1
Let u(r) be the third derivative of r**6/60 - r**5/30 - 16*r**4/3 + 64*r**3/3 - 218*r**2 - 2*r. Find j, given that u(j) = 0.
-8, 1, 8
Suppose 4*a - 565 = 4*v - 557, 0 = 5*v + 10. Factor a*b + 2/7*b**2 + 2/7*b**4 + 0 - 4/7*b**3.
2*b**2*(b - 1)**2/7
Let i(z) = 21*z**3 - 162*z**2 - 56*z. Let v(u) = -105*u**3 + 810*u**2 + 282*u. Let c(h) = 21*i(h) + 4*v(h). Factor c(d).
3*d*(d - 8)*(7*d + 2)
Let p(c) be the second derivative of -7*c**4/16 + 1139*c**3/8 + 489*c**2/4 - 212*c. Suppose p(n) = 0. What is n?
-2/7, 163
Suppose 5*r - j - 7 = 0, 2*r - 3*j - 2*j + 11 = 0. Factor 4*b**r - b**2 - 4*b**2 + 0 - 9 - 6*b.
-(b + 3)**2
Let s = -157/13 - -484/39. Factor s*t**2 + 0*t - 1/3.
(t - 1)*(t + 1)/3
Let d(k) = -6*k - 10. Let c be (0 - -1 - 7)/2. Let n be d(c). Solve -3*l**2 + l + 0*l**2 + n*l = 0 for l.
0, 3
Let c be 0/(-3 + 3 - -3). Let r be 2 + (c + (-3)/(-9))*-1. Factor -10/3*x**3 - 1/3 - r*x**4 - 5/3*x - 10/3*x**2 - 1/3*x**5.
-(x + 1)**5/3
Let w(n) = -5*n**3 - 4*n**2 + 3*n + 2. Let l(o) = -11*o**3 - 8*o**2 + 7*o + 3. Let a(u) = -4*l(u) + 9*w(u). Factor a(h).
-(h - 1)*(h + 2)*(h + 3)
Let k = -1385 - -1386. Let w(n) be the first derivative of 13*n**5 - 5/3*n**3 + 0*n**4 + 0*n + 0*n**2 + 10*n**6 - k. Let w(x) = 0. Calculate x.
-1, -1/3, 0, 1/4
Factor 2/9*m**3 - 2/9*m**4 + 0 + 0*m**2 + 0*m.
-2*m**3*(m - 1)/9
Let r(b) be the second derivative of -b**6/15 + b**5/10 + 7*b**4/6 - b**3/3 - 6*b**2 + 2*b + 60. Determine d, given that r(d) = 0.
-2, -1, 1, 3
Let x(i) be the third derivative of -i**7/35 - 26*i**2 + 1. Suppose 29 + 1 = 5*r. Let y(v) = -7*v**4. Let o(z) = r*x(z) - 5*y(z). Solve o(g) = 0 for g.
0
Let w(j) be the third derivative of j**10/604800 - j**9/60480 + j**8/20160 - j**5/6 + 6*j**2. Let i(b) be the third derivative of w(b). Solve i(d) = 0 for d.
0, 2
Factor 8*o - 4*o + 3*o**2 - 6*o - 13*o.
3*o*(o - 5)
Let d(c) = -c**3 - 39*c**2 - 71*c - 35. Let a(y) = -y**3 + y + 1. Let w(t) = 2*a(t) + d(t). Factor w(i).
-3*(i + 1)**2*(i + 11)
Let -6/7*t**3 + 4/7*t**2 + 12/7 + 38/7*t = 0. Calculate t.
-2, -1/3, 3
Suppose 0 = -2*z + 73 - 67. Let t(l) be the second derivative of 0*l**2 - 1/10*l**5 + 4/3*l**z - 1/2*l**4 + 7*l + 0. Factor t(v).
-2*v*(v - 1)*(v + 4)
Let f(t) be the third derivative of t**6/72 - 11*t**5/90 + 7*t**4/18 - 4*t**3/9 + 201*t**2. Factor f(i).
(i - 2)**2*(5*i - 2)/3
Let j(o) be the third derivative of o**8/192 + 13*o**7/420 - 19*o**6/160 - 7*o**5/30 + 5*o**4/24 + 410*o**2. Determine x, given that j(x) = 0.
-5, -1, 0, 2/7, 2
Suppose 22 = 3*z - 23. Let l be 24/z + (-2)/(-5). Find w, given that 2*w**4 - 2*w**3 - 3*w**3 - l - 4*w + 5*w**3 + 4*w**3 = 0.
-1, 1
Let z be (1/(-4))/((-1)/(-4)). Let g be z + (-14)/(-8) + 0. Determine s, given that g*s**3 + 3/4*s + 0 - 3/2*s**2 = 0.
0, 1
Let t(p) be the second derivative of p**5/10 - 145*p**4/12 + 444*p**3 - 648*p**2 - 10*p. Solve t(r) = 0.
1/2, 36
Let n(j) = 2*j**3 - 10*j**2 + 10*j - 5. Let d be n(4). Find h such that 13*h**3 - h**4 + d*h**2 + 4*h + 4 - 17*h**3 - 2*h**2 - 4*h**2 = 0.
-2, -1, 1
Let t(n) be the third derivative of -7*n**8/960 - n**7/20 - n**6/12 - n**5/15 - 5*n**4/24 + 9*n**2. Let l(p) be the second derivative of t(p). Factor l(q).
-(q + 2)*(7*q + 2)**2
Let u(k) be the second derivative of -k**5/150 - 74*k**4/45 - 5476*k**3/45 + 29*k - 4. Determine v so that u(v) = 0.
-74, 0
Let g(r) be the third derivative of r**5/20 - 9*r**4/8 + 7*r**3 + 755*r**2. Let g(a) = 0. What is a?
2, 7
Let x be 37*((-1)/(-21) - 16/(-168)). Factor 10/7*s**3 - 1/7*s**4 - x*s**2 + 60/7*s - 36/7.
-(s - 3)**2*(s - 2)**2/7
Let t(g) = -g**2 + 1. Let x(v) = -32*v + 29*v - 2 + 6*v**2 - 1. Let m(u) = 5*t(u) + x(u). Factor m(a).
(a - 2)*(a - 1)
Let 8*q**2 - 180 - 3*q**2 - 5203*q + 5248*q = 0. Calculate q.
-12, 3
Let c(q) be the second derivative of -4*q**6/75 - 26*q**5/25 + 23*q**4/6 - 74*q**3/15 + 3*q**2 - 2*q + 5. Find b, given that c(b) = 0.
-15, 1/2, 1
Let t = -25835/52 - -6462/13. Determine r so that t*r**3 + 0*r**2 - 1/2*r**4 + 0*r + 0 + 1/4*r**5 = 0.
0, 1
Determine q, given that 48/7*q**2 - 4/7*q**5 - 12/7*q**4 + 8/7*q**3 + 0 + 32/7*q = 0.
-2, -1, 0, 2
Let w(p) be the third derivative of p**6/300 - p**5/30 + 7*p**4/60 - p**3/5 - 277*p**2. Find b, given that w(b) = 0.
1, 3
Let i be -2 + (8 - -1)*1. Let z be 25/10 - -2*3/12. Solve -1 - 2*c**z + 8 - i = 0 for c.
0
Find x such that -182 - 57 + 54*x + 2295*x**5 + 15*x**3 + 13*x**3 - 2297*x**5 - 8*x**4 + 144*x**2 + 23 = 0.
-3, 1, 4
Factor -76/5*k**3 - 12*k**2 + 8/5 - 28/5*k**4 - 4/5*k.
-4*(k + 1)**3*(7*k - 2)/5
Suppose 0 = 9*k - 14*k + 290. Let h be (-87)/k*1*-2. Suppose -1/4*a + a**2 + 0 - 3/4*a**h = 0. What is a?
0, 1/3, 1
Let l(o) be the first derivative of o**6/15 - 36*o**5/25 - 39*o**4/10 - 8*o**3/3 - 342. Factor l(t).
2*t**2*(t - 20)*(t + 1)**2/5
Let o(h) be the second derivative of 0 + h - 15/2*h**3 + 27/2*h**2 + 7/4*h**4 - 3/20*h**5. Determine c so that o(c) = 0.
1, 3
Let v be 2 + 192/(-448) + 274/(-210). Let 8/15*t**3 - 2/3*t + 2/15*t**5 + v*t**2 - 8/15*t**4 + 4/15 = 0. What is t?
-1, 1, 2
Let q(z) be the first derivative of z**7/147 + z**6/105 - z**5/70 - z**4/42 - 2*z - 8. Let k(v) be the first derivative of q(v). Solve k(n) = 0.
-1, 0, 1
Let b = 146/9 - 806/63. Factor 128/7 - 2/7*o**3 - 96/7*o + b*o**2.
-2*(o - 4)**3/7
Let t = 29 - 7. Suppose -4*h + 73 + 3 = 4*m, 3*m - 4*h = t. Factor -1 + 5 + m*r**3 - 8*r**4 - 4 - 4*r**2 - 2*r.
-2*r*(r - 1)**2*(4*r + 1)
Let -44/3 - 4/3*s**3 - 52/3*s**2 - 92/3*s = 0. Calculate s.
-11, -1
Let f(c) be the third derivative of 3/70*c**7 + 0*c**3 - 1/4*c**4 + 0*c + 1/112*c**8 - 3/20*c**5 + 1/40*c**6 + 0 - 10*c**2. Let f(n) = 0. Calculate n.
-2, -1, 0, 1
Let t(a) be the first derivative of 12 + 1/40*a**5 + 11/2*a**2 + 1/2*a**3 + 0*a - 3/16*a**4. Let f(u) be the second derivative of t(u). Solve f(v) = 0 for v.
1, 2
Let b be (-55)/(-45)*(103 + -1). Let c = b - 124. Factor -2/3*x**2 + 0 + 2/3*x**4 + 2/3*x**3 - c*x.
2*x*(x - 1)*(x + 1)**2/3
Let a(w) be the third derivative of -28*w**2 + 0*w**4 + 1/90*w**6 + 0*w + 0*w**3 + 0 + 1/45*w**5. Factor a(y).
4*y**2*(y + 1)/3
Let i be (-6)/(-6*1/4) + -2. Let u = 1 + i. Factor -1/3*n**5 + n + 2*n**u + 0*n**4 + 8/3*n**2 + 0.
-n*(n - 3)*(n + 1)**3/3
Let u = 251/2 - 125. Factor 1/4*i**3 + 0*i**2 - 3/4*i - u.
(i - 2)*(i + 1)**2/4
Let r = 135 + -65. Suppose -2*p + 4*k + r = 0, 2*p + 3*k - 2*k - 50 = 0. Determine t, given that p*t**2 + 2*t - 4*t + 11*t**3 + 10*t**3 + 8*t = 0.
-1, -2/7, 0
Let o(a) be the third derivative of a**5/12 + 325*a**4/12 + 21125*a**3/6 - 356*a**2. Solve o(g) = 0 for g.
-65
Suppose -2*z = -n - z - 2, 2*n = -z - 4. Let k be (1/n)/((-3)/12). Find u, given that 4*u**2 + u**k - 3*u**2 - 2*u = 0.
0, 1
Let g be -2 + 22/3 + (-86 - -82). Factor -g*a**3 - 1/3 + 1/3*a**2 + 4/3*a.
-(a - 1)*(a + 1)*(4*a - 1)/3
Let i(t) be the third derivative of -1/80*t**5 - 2*t**2 + 9 + 13/32*t**4 + 0*t + 0*t**3. Factor i(w).
-3*w*(w - 13)/4
Let j(u) be the second derivative of -u**6/120 - u**5/4 - 25*u**4/8 - 125*u**3/6 - 11*u**2/2 - 7*u. Let v(o) be the first derivative of j(o). Factor v(r).
-(r + 5)**3
Factor 2/17*s**3 - 2/17*s + 18/17 - 18/17*s**2.
2*(s - 9)*(s - 1)*(s + 1)/17
Let k = -146 + 101. Let s be 9/(k/20) + (1 - -3). Find v such that s*v**2 + 0 - 3/4*v**3 + v - 1/4*v**4 = 0.
-2, 0, 1
Let v = -123 + 135. Factor q + 4*q**4 + 213*q**2 - 217*q**2 + v*q**3 - 13*q.
4*q*(q - 1)*(q + 1)*(q + 3)
Let s(m) be the third derivative of 0*m - 2/105*m**7 + 0*m**4 + 0*m**3 + 18*m**2 - 1/15*m**5 + 0 + 1/15*m**6. Determine w so that s(w) = 0.
0, 1
Factor 2/7*i**2 + 32/7 - 34/7*i.
2*(i - 16)*(i - 1)/7
Let b = 755 + -755. Let t(l) be the second derivative of 0*l**5 + b*l**2 + 0*l**3 + 2*l + 0 + 0*l**4 + 1/15*l**6. Factor t(n).
2*n**4
Solve -2*a**4 + 0 + 128/11*a - 2/11*a**5 - 32/11*a**2 - 72/11*a**3 = 0 for a.
-4, 0, 1
Determine h, given that -6/5*h*