f 7*q**4/54 + q**3/3 + 2*q**2/9 - 9*q. Suppose s(p) = 0. What is p?
-1, -2/7
Suppose 0 = -5*b + 4*m + 3, 3*b = 2*m + 4 - 1. Factor -b + 2*s - 1/3*s**2.
-(s - 3)**2/3
Let t = -271879/280 + 971. Let b(u) be the third derivative of -1/80*u**6 - t*u**7 + 4*u**2 + 0 + 0*u + 0*u**5 + 1/8*u**3 + 1/16*u**4. What is n in b(n) = 0?
-1, 1
Let p(d) be the second derivative of -d**7/42 + d**5/20 - 8*d. Solve p(a) = 0 for a.
-1, 0, 1
Let z(w) = -5*w**3 - 37*w**2 + 29*w. Let c(h) = h**3 + 9*h**2 - 7*h. Let b(l) = -26*c(l) - 6*z(l). Factor b(n).
4*n*(n - 2)*(n - 1)
Let m = 158 - 156. Let v(d) be the second derivative of 2*d + 0*d**3 + 1/15*d**6 + 0*d**m + 0*d**4 - 1/20*d**5 + 0 - 1/42*d**7. Factor v(z).
-z**3*(z - 1)**2
Suppose -3*b = -3*j - 2*b + 57, 2*b - 48 = -3*j. Let q = j - 12. Solve -4*l**2 + 3*l**3 + q*l**2 - 9*l**4 - 5*l**4 = 0.
-2/7, 0, 1/2
Suppose -3/5*l**3 + 27/5*l**2 - 81/5*l + 81/5 = 0. Calculate l.
3
Suppose -g - g - 8 = 4*t, -4*t = 12. Factor -6*l**3 - 8*l**g - 8*l + 8*l**3 - 4*l**3.
-2*l*(l + 2)**2
Let n(m) be the second derivative of m**4/7 + 46*m**3/21 + 4*m**2 + 2*m. Factor n(p).
4*(p + 7)*(3*p + 2)/7
Suppose 9*i + 17*i - 6*i = 0. Solve 1/6*l + i + 1/3*l**2 = 0 for l.
-1/2, 0
Let z(x) be the second derivative of x**6/40 - 3*x**4/16 + x**3/4 - 5*x + 3. Factor z(k).
3*k*(k - 1)**2*(k + 2)/4
Suppose 0 = x - 0*x - 4. Factor -3*o**4 - 6*o + 2*o**x - 2*o**4 + 3*o**2 + 6*o**3.
-3*o*(o - 2)*(o - 1)*(o + 1)
Let h(g) be the first derivative of -1 + 0*g + 0*g**2 + 1/12*g**3. Suppose h(p) = 0. Calculate p.
0
Let r(a) = -2*a - 13. Let b be r(-11). Suppose 5*d + 13 = -z, -4*d + 23 = 4*z - b*d. Factor -4/3 - 1/3*t**z - 4/3*t.
-(t + 2)**2/3
Determine r so that 3/2*r**2 - 3/2*r + 0 = 0.
0, 1
Factor 2 - 23*g**2 - 23*g**2 + 44*g**2.
-2*(g - 1)*(g + 1)
Factor 12/5*z**3 - 12/5*z - 12/5 + 9/5*z**2 + 3/5*z**4.
3*(z - 1)*(z + 1)*(z + 2)**2/5
Factor -8/7*o - 2/7*o**3 + 8/7*o**2 + 0.
-2*o*(o - 2)**2/7
Let l = 117 - 117. Let s(q) be the third derivative of -1/24*q**4 - 1/120*q**6 + 0*q + 2*q**2 + 0 + l*q**3 + 1/30*q**5. Factor s(f).
-f*(f - 1)**2
Let o(n) = 11 + 5*n**2 + 9*n + 0*n - 4*n**2. Let u be o(-8). Factor 1/2*l**u + 0 - 1/2*l**5 - 1/2*l**2 + 1/2*l**4 + 0*l.
-l**2*(l - 1)**2*(l + 1)/2
Let s = 9/31 + 4/93. Let q(m) be the second derivative of -4*m - 1/3*m**3 - 1/10*m**5 + 0*m**2 + 0 - s*m**4. Solve q(g) = 0 for g.
-1, 0
Let p be 2/((-5)/(20/(-48))). Let a(z) be the second derivative of 0 - 1/9*z**3 - z + p*z**2 + 1/36*z**4. Find t, given that a(t) = 0.
1
Let v(r) be the second derivative of 0*r**4 + 1/15*r**6 + 0*r**2 + 0 - 4*r + 0*r**3 - 1/5*r**5. Let v(d) = 0. Calculate d.
0, 2
Let l(b) = b**2 + 4*b - 7. Let f be l(-6). Let w be ((-16)/(-20))/(2/f). Factor 0*h + 0 + 4/5*h**w - 14/5*h**3.
-2*h**2*(7*h - 2)/5
Let z(g) be the second derivative of -g**4/20 - g**3/5 - 16*g. Solve z(w) = 0.
-2, 0
Let a(g) be the second derivative of 9*g**5/10 + g**4/2 - 5*g**3/3 + g**2 - 2*g. Factor a(o).
2*(o + 1)*(3*o - 1)**2
Suppose 2*o + 5*v + 0*v = -5, -o = 4*v + 4. Let u(g) be the third derivative of 2*g**2 + 0 + 1/60*g**5 + 0*g**4 - 1/6*g**3 + o*g. Solve u(k) = 0.
-1, 1
Let w(h) be the first derivative of 1/25*h**5 + 0*h + 0*h**2 + 1/10*h**4 + 2 + 1/15*h**3. Solve w(u) = 0 for u.
-1, 0
Suppose 3*m - 2*q = 3*q + 59, 2*q = -3*m + 31. Factor -v + 12 + m*v + 4*v**2 - 4*v**3 + 8*v.
-4*(v - 3)*(v + 1)**2
Let c = 25781/15 - 1720. Let l = -3/5 - c. What is j in -4/3*j - 2/3*j**2 - l = 0?
-1
Let q(r) be the third derivative of r**8/168 + 2*r**7/35 + 13*r**6/60 + 2*r**5/5 + r**4/3 + r**2 - 39. Factor q(o).
2*o*(o + 1)**2*(o + 2)**2
Let x(b) be the third derivative of -b**6/60 + b**5/120 + b**4/12 - b**3/12 + 21*b**2. Suppose x(c) = 0. What is c?
-1, 1/4, 1
Factor 260*n**3 + 2269*n**4 - 70*n + 8 + 84*n**2 - 2169*n**4 + 2*n.
4*(n + 1)*(n + 2)*(5*n - 1)**2
Let h(l) = l**2 + 4*l - 3. Let b be h(-5). Let y be (-122)/(-66) - (-4)/(-22). Factor y*g - 2/3 - g**b.
-(g - 1)*(3*g - 2)/3
Let f(x) = -x + 6. Let p be f(4). Find j such that 4*j**2 + 2*j**p - 4 + 2*j**2 - 2*j**5 - 2*j + 2*j**3 + 2*j**3 - 4*j**4 = 0.
-2, -1, 1
Solve -35*j**2 + 35*j**2 - 4*j**5 + 8*j**3 - 4*j = 0 for j.
-1, 0, 1
Let j be (3 - 112/36)*-3. Let o(g) = g**3 - 3*g**2 + 2*g - 4. Let w be o(3). Find c such that 0*c**w - 1/3*c**5 + 2/3*c**3 + 0 - j*c + 0*c**4 = 0.
-1, 0, 1
Let v(w) be the second derivative of -w**4/12 + 6*w. Solve v(j) = 0.
0
Suppose 2*m + 4*q - 26 = -0*q, 0 = -5*m - 4*q + 35. Suppose -4*l - 8 = 0, 2*t + 1 + 1 = -m*l. Factor 2*g**t - g**3 + 1 - g - 1.
-g*(g - 1)**2
Let s(c) = 2*c**2 - 4*c + 4. Suppose -3*i = 5*t - 7, -4*t = -7*t - 3*i + 3. Let j(d) = -8*d**2 + 15*d - 16. Let h(l) = t*j(l) + 9*s(l). Factor h(p).
2*(p - 2)*(p - 1)
Let z be (2 + -2)*1/1. Suppose 4*b**3 + z*b**4 - 9*b**4 + 3*b**4 + 0*b**3 = 0. Calculate b.
0, 2/3
Let y(a) be the third derivative of 2*a**7/105 - a**6/10 - 11*a**2. Factor y(l).
4*l**3*(l - 3)
Let t = 525/716 + 3/179. Factor 3/4 + 3/2*c**3 - 9/4*c**4 - 9/4*c + t*c**5 + 3/2*c**2.
3*(c - 1)**4*(c + 1)/4
Let n(a) = -2*a**2 - 52*a - 50. Let s(k) = k**2 + 21*k + 20. Let x(t) = -5*n(t) - 12*s(t). Solve x(g) = 0.
-1, 5
Let y(i) = -5*i**3 - i**2 - 3*i - 3. Suppose 20 = -0*z - 4*z. Let g(j) = 6*j**3 + 2*j**2 + 3*j + 4. Let u(l) = z*y(l) - 4*g(l). Factor u(k).
(k - 1)**3
Let w(z) be the third derivative of -z**5/40 - z**4/4 - z**3 + 15*z**2. Let w(l) = 0. What is l?
-2
Let m(a) be the third derivative of 0*a + 2*a**2 + 0 + 1/8*a**6 + 1/20*a**5 + 3/70*a**7 + 0*a**3 - 1/8*a**4. Factor m(h).
3*h*(h + 1)**2*(3*h - 1)
Suppose 3*t - 4*w + 5 = 0, t + 0*w = -5*w + 30. Suppose 0 = 4*v - t*j + 9, 5*v + 3 = -j + 28. Find l such that -2/9*l**2 + 0 - 2/9*l**3 + 2/9*l**v + 2/9*l = 0.
-1, 0, 1
Let -1 - 2 + 2*t**2 - 6*t + 2 + 5 = 0. What is t?
1, 2
Let v(j) = 3*j**2 - 28*j + 11. Let w be v(9). Factor -2/9*u**4 + 8/9*u + 8/9*u**3 - 4/3*u**w - 2/9.
-2*(u - 1)**4/9
Let v = -107 - -107. Let p(m) be the third derivative of v*m - 1/180*m**6 + 1/180*m**5 + 1/36*m**4 + 0 - 2*m**2 + 0*m**3 - 1/630*m**7. Factor p(c).
-c*(c - 1)*(c + 1)*(c + 2)/3
Let x(p) be the third derivative of -p**8/1008 + p**6/360 - 3*p**2. What is n in x(n) = 0?
-1, 0, 1
Let h(f) = 600*f**3 + 347*f**2 - 24*f - 24. Let x(b) = 100*b**3 + 58*b**2 - 4*b - 4. Let y(c) = 6*h(c) - 34*x(c). Factor y(s).
2*(4*s - 1)*(5*s + 2)**2
Let g(m) = m**4 + 15*m**3 - 26*m**2 + 21*m - 5. Let n(z) = 6*z**4 + 76*z**3 - 130*z**2 + 104*z - 24. Let k(p) = 16*g(p) - 3*n(p). Factor k(b).
-2*(b - 2)**2*(b - 1)**2
Suppose -q = -0*q + 1. Let y be q + 1 - (-2)/1. Let 7*l**2 - 6*l**4 + y*l**5 + l**2 + 0*l**5 = 0. Calculate l.
-1, 0, 2
Suppose -3*k = 2 + 4. Let v be ((-16)/k - 2)/2. Find y such that 2*y**2 - 5*y**5 - 12*y**4 - 2*y**2 - 3*y**3 - y**v = 0.
-2, -2/5, 0
Factor -9*m**3 + 2*m**2 - 4*m**5 + 23*m**3 - 6*m**2 + 4*m**4 - 10*m**3.
-4*m**2*(m - 1)**2*(m + 1)
Let t(n) be the third derivative of -n**7/70 - n**6/10 - n**5/4 - n**4/4 + 21*n**2. Factor t(r).
-3*r*(r + 1)**2*(r + 2)
Let r = -950/7 + 136. Let j = 1 + -1. Factor j - r*m**4 - 2/7*m - 6/7*m**3 - 6/7*m**2.
-2*m*(m + 1)**3/7
Let f(r) be the third derivative of 0*r**3 - 1/330*r**5 + 2*r**2 + 1/132*r**4 + 0 + 0*r. Factor f(y).
-2*y*(y - 1)/11
Let p = 39 + -37. Suppose -1/2*j - 1/4*j**p + 0 = 0. What is j?
-2, 0
Let l(v) be the third derivative of -4/105*v**7 + 0 + 0*v**3 - 1/12*v**6 + 3*v**2 - 1/168*v**8 + 0*v + 0*v**4 - 1/15*v**5. Factor l(a).
-2*a**2*(a + 1)**2*(a + 2)
Let l(n) = -n - 8. Let i be l(-13). Suppose 2*y - 6 = -4*c, 4*c = 6*c - i*y + 15. Factor 0*z + 0 + c*z**2 + 1/5*z**4 + 1/5*z**3.
z**3*(z + 1)/5
Let z(r) be the first derivative of r**5/10 + 3*r**4/8 - r**3/6 - 3*r**2/4 + 24. Factor z(w).
w*(w - 1)*(w + 1)*(w + 3)/2
Let j(x) = -x**2 + 11*x. Let y be j(11). What is f in 6 - 3 + y - 2*f**2 - 1 = 0?
-1, 1
Let a = 7/37 + 11/333. Factor 2/9*y + a*y**2 - 4/9.
2*(y - 1)*(y + 2)/9
Let k = -2 + 7. Suppose -3*r = -k*b + b + 18, 0 = -2*b - 4*r - 2. Factor 2*s**4 + 3*s**4 - 2*s**4 - 9*s**5 - b*s**5.
-3*s**4*(4*s - 1)
Let 2/3*c**2 + 54 + 12*c = 0. Calculate c.
-9
Let j(m) be the second derivative of 0 + 2/9*m**3 + 1/30*m**5 + 0*m**2 - 1/6*m**4 - m. Suppose j(s) = 0. Calculate s.
0, 1, 2
Let o be ((40/(-6))/5)/(2/(-6)). Let a(y) = 2*y**2 + 1. Let k be a(1). Let 0*g + 0 + 12/5*g**k + 18/5*g**o + 2/5*g**2 = 0. Calcu