b**2. Let x = 4 + 0. Suppose -x*y = -5 + 1. Let z(d) = y*m(d) - 6*a(d). Factor z(s).
2*s**2*(s - 1)*(s + 1)**2
Let y(z) be the first derivative of -z**4/2 - 26*z**3 - 507*z**2 - 4394*z + 25. Factor y(x).
-2*(x + 13)**3
Factor 0*s - 3*s**2 - 5*s - s.
-3*s*(s + 2)
Determine q so that -17 - q + q**2 + 35 - 19 + q**3 = 0.
-1, 1
Let i(t) = 4*t**4 + 4*t**3 + 6*t**2 - 29*t - 29. Let r(n) = 7*n**4 + 9*n**3 + 12*n**2 - 59*n - 59. Let o(x) = 5*i(x) - 3*r(x). Let o(s) = 0. Calculate s.
-4, -1, 2
Let g = 7 - 7. Suppose -q - 17 = -4*f, -2*q = 4*f - g*q - 2. Let -16/5*n - 2*n**2 - 2/5*n**f - 8/5 = 0. Calculate n.
-2, -1
Let l be ((-4)/10)/((-1)/5). Suppose 5*z = 12 - 2. Suppose -3*c**2 + c**3 - 3*c + 2*c + 1 + l*c**z = 0. Calculate c.
-1, 1
Let -1/3*q**2 - 1/3 - 2/3*q = 0. Calculate q.
-1
Factor -8*q**3 - 3*q + 4*q**4 + 3*q.
4*q**3*(q - 2)
Let a = -17/6 + 617/222. Let j = 154/111 + a. Factor j + 7/3*v**2 + 16/3*v.
(v + 2)*(7*v + 2)/3
Factor -8*i + 2*i**2 - 8 - 8*i**2 - 4*i + 2*i**2.
-4*(i + 1)*(i + 2)
Let r = -3 - -6. Suppose -r*a = -3 - 3. Determine s so that -3*s**2 + s**2 + 2*s**4 - s**4 + 3*s**2 + a*s**3 = 0.
-1, 0
Suppose 3*h - 45 = -2*h. Find q, given that h*q**3 + 21*q + 27*q**2 - 8*q**3 + 6 + 14*q**3 + 0 + 3*q**4 = 0.
-2, -1
Suppose 10*r = 14*r. Suppose r = 2*t + 4*d - 24, -2*t = -0*d + 5*d - 29. Let 2 + 2/9*k**t - 4/3*k = 0. Calculate k.
3
Suppose 4*t + 3*y - 9 = 0, -3*t = 4*y + y - 4. Factor 3*x**4 + 3*x - 7*x**2 - 3*x**5 + t*x**4 + 6*x**2 - 5*x**2.
-3*x*(x - 1)**3*(x + 1)
Let b(j) be the third derivative of j**5/210 - 5*j**4/84 + 4*j**3/21 + 12*j**2. Factor b(n).
2*(n - 4)*(n - 1)/7
Determine d so that 5/6*d**4 - 5/2*d**2 + 0*d - 5/3*d**3 + 0 = 0.
-1, 0, 3
Let y(i) be the first derivative of -i**4/4 - 8*i**3/3 - 21*i**2/2 - 18*i + 32. Solve y(h) = 0 for h.
-3, -2
Let y = 5 + -2. Factor 7*c**3 - 5*c**y + 0*c + 2*c**2 + 0*c.
2*c**2*(c + 1)
Let w(x) be the third derivative of -x**7/1785 - x**6/204 - 7*x**5/510 - x**4/68 - 39*x**2. Factor w(d).
-2*d*(d + 1)**2*(d + 3)/17
Factor q**2 - 7*q + 28 + 31 - 43 - q.
(q - 4)**2
Let k(m) be the third derivative of m**8/1344 - m**7/420 - m**6/480 + m**5/120 - 7*m**2. Determine q, given that k(q) = 0.
-1, 0, 1, 2
Solve -1/3*f - 1/6*f**2 + 0 = 0 for f.
-2, 0
Let i(d) = -3*d**2 - d - 1. Let x(v) = v - 1. Let h(s) = -3*s + 4. Let m(n) = -h(n) - 4*x(n). Let t(j) = 2*i(j) - 10*m(j). What is z in t(z) = 0?
1/3, 1
Factor -22*r**4 - 4*r**2 - 2*r**4 + 7*r**3 + 11*r**3 + 10*r**5.
2*r**2*(r - 1)**2*(5*r - 2)
Let q(s) = -8*s - 48. Let n be q(-6). Let 0 + 2/9*z**4 + 4/9*z**3 + 2/9*z**2 + n*z = 0. Calculate z.
-1, 0
Let v(c) be the first derivative of -c**6/21 - 6*c**5/35 - c**4/14 + 2*c**3/7 + 2*c**2/7 + 9. Let v(n) = 0. What is n?
-2, -1, 0, 1
Let k(q) be the third derivative of 0*q + 3*q**2 + 0 - 1/36*q**4 + 1/180*q**5 + 1/18*q**3. Suppose k(f) = 0. Calculate f.
1
Let n(y) be the third derivative of -y**8/168 + 2*y**7/105 - y**6/60 - y**2. Factor n(s).
-2*s**3*(s - 1)**2
Let g(c) be the second derivative of -4*c**2 + 0 - 8/3*c**3 - 5/6*c**4 - 1/10*c**5 - 8*c. Find x, given that g(x) = 0.
-2, -1
Let t(y) = -y**3 - 2*y**2 - 2*y - 2. Let q be t(-2). Let z = 30 + -27. What is n in -n + 3*n**q + 0*n**4 + n**4 - 3*n**z + 0*n = 0?
0, 1
Let p(x) be the first derivative of -x**8/112 - x**7/70 - 3*x**2/2 - 3. Let u(b) be the second derivative of p(b). Factor u(o).
-3*o**4*(o + 1)
Let c be 0 - 20/(-6) - (-8)/(-4). Find s, given that 2/3 - 2/3*s - c*s**2 = 0.
-1, 1/2
Let q(w) be the first derivative of w**6/3 - 12*w**5/5 + 6*w**4 - 16*w**3/3 + 13. Factor q(m).
2*m**2*(m - 2)**3
Let r = -5 + 12. Suppose 3*g - 5 = r. Factor -g + 4 + v + v**3 - 2*v**2.
v*(v - 1)**2
Let p(x) = -2*x**3 - 13*x**2 - 6*x + 4. Let b be p(-6). Factor -2*f**b + 0*f**2 - 1/2*f**3 + 0 + 0*f - 3/2*f**5.
-f**3*(f + 1)*(3*f + 1)/2
Determine h so that 0 + 0*h + 0*h**2 - 1/6*h**4 + 1/6*h**3 = 0.
0, 1
Let n(v) be the first derivative of -4 - 1/2*v**3 - 3/16*v**4 + 9/8*v**2 + 0*v. Factor n(m).
-3*m*(m - 1)*(m + 3)/4
Let g = 9 + -3. Let k(v) = -v**3 + 7*v**2 - 4*v - 8. Let s be k(g). Find i, given that -s*i + 0*i + 2*i**5 + i**5 + 2*i**2 + 22*i**3 + 22*i**4 + 3*i**5 = 0.
-2, -1, 0, 1/3
Suppose -24*x = -4 - 44. Factor 1/2*v**5 + 0*v**4 + 0*v**x + 1/2*v + 0 - v**3.
v*(v - 1)**2*(v + 1)**2/2
Factor -1/3*m**2 + 0*m + 0 - 2/3*m**3 - 1/3*m**4.
-m**2*(m + 1)**2/3
Let u(w) be the second derivative of -w**7/525 + w**6/100 - w**5/50 + w**4/60 + 3*w**2/2 - w. Let p(r) be the first derivative of u(r). Factor p(n).
-2*n*(n - 1)**3/5
Let z(x) be the first derivative of -x**4/18 + 8*x**3/27 - x**2/3 + 2. Find i such that z(i) = 0.
0, 1, 3
Let m = -37 - -39. Let g(y) be the second derivative of 0*y**3 + 1/12*y**4 - 1/20*y**5 + 0 - 3*y + 1/120*y**6 + 0*y**m. Factor g(i).
i**2*(i - 2)**2/4
Let c(y) be the second derivative of y**5/40 - y**4/12 - 9*y. Suppose c(i) = 0. Calculate i.
0, 2
Let f(v) be the second derivative of v**7/420 - v**6/72 - v**5/40 - 4*v**3/3 + 2*v. Let n(y) be the second derivative of f(y). Solve n(i) = 0.
-1/2, 0, 3
Suppose 34*p - 16*p = 0. Factor 4/3*q**2 + 4/3*q + p + 1/3*q**3.
q*(q + 2)**2/3
Let o(r) = r**3 - 3*r**2 + 2*r - 4. Let p be ((-3)/(-4))/((-2)/(-8)). Let k be o(p). Factor 2 - 10 + 4 + k*i**2 + 2*i.
2*(i - 1)*(i + 2)
Let z(r) = -r**5 - r**4 + 2*r**3 + 4*r**2 + r - 1. Let y(t) = 4*t**5 + 4*t**4 - 8*t**3 - 17*t**2 - 5*t + 4. Let m(w) = 4*y(w) + 18*z(w). Solve m(p) = 0 for p.
-1, 1
Let i(s) be the third derivative of s**6/300 - s**5/30 + s**4/30 + 8*s**3/15 - 46*s**2. Suppose i(l) = 0. Calculate l.
-1, 2, 4
Let m(c) be the third derivative of -4*c**2 + 1/525*c**7 + 0 + 1/280*c**8 + 0*c**3 + 0*c**5 - 1/150*c**6 + 0*c + 0*c**4. Factor m(n).
2*n**3*(n + 1)*(3*n - 2)/5
Let v(k) = -3*k**2 + 15*k + 17. Let i(m) = 4*m**2 - 15*m - 16. Let s(u) = -7*i(u) - 6*v(u). Factor s(p).
-5*(p - 2)*(2*p + 1)
Let j(h) = -h**2 - 3*h + 6. Let c(y) = y**2. Let o(x) = x**2 - 10*x - 2. Let b be o(10). Let d = 4 + -3. Let q(g) = b*c(g) + d*j(g). What is n in q(n) = 0?
-2, 1
Let m be (-12 - -14)/((-4)/(-10)). Let t(k) be the first derivative of -2/5*k**m - k**4 + 0*k**3 + 4 + 0*k + 0*k**2. Factor t(i).
-2*i**3*(i + 2)
Let g = 2457 + -442259/180. Let x(d) be the third derivative of 1/504*d**8 + d**2 + 1/90*d**5 - 1/315*d**7 + 0*d**4 + 0*d**3 - g*d**6 + 0*d + 0. Factor x(s).
2*s**2*(s - 1)**2*(s + 1)/3
Suppose 13 = 4*k - 11. Let v be (8/(-24))/((-4)/k). Factor -5*t**2 - v - 5/2*t - 5/2*t**4 - 5*t**3 - 1/2*t**5.
-(t + 1)**5/2
Let d be (-4)/(-14) + (-176)/126 + 2. Determine g so that -50/9*g**5 + 56/9*g**2 + 140/9*g**4 - d*g - 46/3*g**3 + 0 = 0.
0, 2/5, 1
What is o in -6/5*o**2 + 0 + 0*o**3 + 4/5*o + 2/5*o**4 = 0?
-2, 0, 1
Let j(t) = -3*t**3 - 4*t**2 + 2. Let a(w) = 12*w**3 + 15*w**2 - 9. Let o(d) = 2*a(d) + 9*j(d). Solve o(u) = 0.
-2, 0
Let c(h) be the first derivative of -h**4/18 + 4*h**3/9 - 4*h**2/3 + 2*h - 3. Let g(j) be the first derivative of c(j). Let g(x) = 0. What is x?
2
Let p(y) be the first derivative of 2*y**5/35 + y**4/7 + 2*y**3/21 + 8. Solve p(g) = 0.
-1, 0
Suppose 0 - 3/5*o**4 + 0*o**3 + 0*o + 3/5*o**2 = 0. Calculate o.
-1, 0, 1
Let o = -14 + 16. Let y(z) be the second derivative of -11/3*z**3 + 2*z + 35/12*z**4 - 5/8*z**5 + 0 + 2*z**o. Find g, given that y(g) = 0.
2/5, 2
Let o be (6/(-63))/(32/(-192)). Factor o + 6/7*i**2 - 10/7*i.
2*(i - 1)*(3*i - 2)/7
Factor 14*c**4 - 5*c**4 - 6*c**4 + 24*c - 3*c**2 + 30*c**3 + 54*c**2.
3*c*(c + 1)**2*(c + 8)
Let j(x) be the first derivative of x**7/70 - x**5/10 + x**3/2 + 2*x**2 + 5. Let y(l) be the second derivative of j(l). Factor y(o).
3*(o - 1)**2*(o + 1)**2
Let j(c) be the third derivative of -c**5/90 - c**4/36 - 7*c**2. Find b such that j(b) = 0.
-1, 0
Let z be 2 + 4 + -21 + 3. Let o be (z/(-21))/((-4)/(-14)). Factor 3/4*c - 3/4*c**o + 0.
-3*c*(c - 1)/4
Suppose -37 + 29 = -4*r. Find z such that 0 + 1/2*z**3 + z**r + 1/2*z = 0.
-1, 0
Let l(b) be the first derivative of b**3/9 + b**2/3 + 4. Factor l(p).
p*(p + 2)/3
Factor 2*o**2 - 2*o**2 - 41*o**5 + 40*o**5 + o**3.
-o**3*(o - 1)*(o + 1)
Let p be 20/(-15)*(-12)/40. Factor 6/5*s**2 + 2/5*s**4 + p*s + 6/5*s**3 + 0.
2*s*(s + 1)**3/5
Let y = -3 - -9. Let b be (9/y)/(1/2). Determine m so that -2/9 - 2/9*m + 2/9*m**b + 2/9*m**2 = 0.
-1, 1
Let t(w) = -w**2 + w - 1. Let s(p) = -2*p**3 +