 4/3*w**2 - 10/9*w**3 + 2/9*w**g - 16/9 + 8/9*w.
2*(w - 2)**3*(w + 1)/9
Suppose -r - 140 = -29*r. Let q(t) be the third derivative of 0*t**3 + 0*t - 1/210*t**r + 0*t**4 + 4*t**2 + 0. Factor q(m).
-2*m**2/7
Let i(u) = 3*u**5 - 5*u**4 + 4*u**3 - 2*u. Let h(s) = -s**5 + 2*s**4 - 2*s**3 + s. Let b(q) = -15*h(q) - 6*i(q). Determine l so that b(l) = 0.
-1, 0, 1
Let b(f) = f**3 + 6*f**2 + 6*f + 7. Let y be b(-5). Suppose 0 = v - y, 4 - 12 = -3*s - v. Find g, given that 57 - 14*g**3 - 53 - 22*g**s - 6*g**3 + 2*g = 0.
-1, -1/2, 2/5
Find s, given that 13*s + 0*s**2 + 17*s - 3*s + 8*s**2 + 9 = 0.
-3, -3/8
Let s be 37 - (-5 + 1/1). Let m = s - 17. Factor -15*n**2 - 12 - n**3 - n**3 + 5*n**3 + m*n.
3*(n - 2)**2*(n - 1)
Let o be (69/(-18) + 4)/(((-266)/378)/(-19)). Factor 1/2*f**2 - o - 4*f.
(f - 9)*(f + 1)/2
Let c(q) be the second derivative of q**9/378 - q**8/140 + q**6/90 + 13*q**3/6 + 24*q. Let v(b) be the second derivative of c(b). Factor v(r).
4*r**2*(r - 1)**2*(2*r + 1)
Let c(x) be the third derivative of -x**7/105 + x**6/10 - 2*x**5/5 + 2*x**4/3 + 190*x**2. Find a such that c(a) = 0.
0, 2
Let s(k) be the second derivative of k**5/120 + 91*k**4/24 + 8281*k**3/12 + 753571*k**2/12 + 194*k. Factor s(u).
(u + 91)**3/6
Let g be -4*((-28)/8 + 3). Factor -u - 2*u + 3 + 6*u - u**g - u.
-(u - 3)*(u + 1)
Let g(f) = -8*f**4 - 38*f**3 - 52*f**2 - 14*f + 8. Let a(q) = 16*q**4 + 76*q**3 + 103*q**2 + 27*q - 16. Let u(w) = 2*a(w) + 5*g(w). What is v in u(v) = 0?
-2, -1, 1/4
Let p be 8/100*(-8)/224*-5. Let j(a) be the third derivative of -1/420*a**6 + p*a**5 + 0*a**3 - 12*a**2 + 0*a - 1/42*a**4 + 0. Solve j(t) = 0.
0, 1, 2
Let o = 32 - 38. Let n be (o/3)/(-2 + 1). Factor 1/2*k**2 + 2*k + n.
(k + 2)**2/2
Let 895*f + 251*f**2 + 245*f**2 - 501*f**2 = 0. Calculate f.
0, 179
Suppose -74*r - 10 = -79*r. Factor -1/7*m**3 + 4/7*m**r - 5/7*m + 2/7.
-(m - 2)*(m - 1)**2/7
Let d(n) be the third derivative of n**5/12 + 5*n**4/3 + 40*n**3/3 - n**2 + 7. Factor d(q).
5*(q + 4)**2
Let u be (-3)/(-4) - (-8 - 17/4). Let g be 4 - u/(65/(-32)). Determine a so that -17/5*a - 9/5*a**5 + 2/5 + 42/5*a**4 + g*a**2 - 14*a**3 = 0.
1/3, 1, 2
Suppose 0 = -3*q + 2*i - 0*i - 274, -465 = 5*q + 5*i. Let c = 95 + q. Find y such that -3/4*y**2 + 0*y + 3/4*y**c + 0 = 0.
0, 1
Suppose 0 = -292*d + 126 - 126. Factor 3/5*p**2 + d - 3/5*p.
3*p*(p - 1)/5
Let b = -17762 + 35525/2. Suppose v + b*v**4 - v**3 + 3/2 - 2*v**2 = 0. What is v?
-1, 1, 3
Let a(v) = 2*v**2 + 2*v - 1. Let m(o) = -28*o**2 - 1160*o - 80644. Let r(u) = -12*a(u) - m(u). Suppose r(n) = 0. What is n?
-142
Let n(s) be the first derivative of -1/2*s - 4 - 1/12*s**3 + 3/8*s**2. Factor n(m).
-(m - 2)*(m - 1)/4
Let a(d) be the third derivative of d**10/21600 - d**9/12096 - d**8/10080 - d**5/6 - 8*d**2. Let n(x) be the third derivative of a(x). Factor n(c).
c**2*(c - 1)*(7*c + 2)
Solve 12/11*q - 32/11 + 2/11*q**2 = 0.
-8, 2
Let j(y) be the second derivative of -21*y**5/20 - 3*y**4/2 + 43*y**3/2 - 9*y**2 + 337*y. Factor j(l).
-3*(l - 2)*(l + 3)*(7*l - 1)
Suppose -5*v = -0*k + k + 23, -4*v + 20 = -4*k. Let p = k - -12. Factor 6*h**2 + 8*h**3 - 24 + 18*h**p - 2*h**3 - 3*h**5 + 27*h**3 + 6*h**5 - 36*h.
3*(h - 1)*(h + 1)*(h + 2)**3
Factor -b**3 + 0*b + b**2 + 1/4*b**5 + 0 - 1/4*b**4.
b**2*(b - 2)*(b - 1)*(b + 2)/4
Factor 65/6*t**2 + 0 - 3*t - 7/6*t**3.
-t*(t - 9)*(7*t - 2)/6
Let x(p) = -75*p + 5. Let u be x(-6). Let g be 2054/u - (-6)/21. Let -36/5 - 4/5*b**2 + g*b = 0. What is b?
3
Let g(l) = l**3 + 26*l**2 - 122*l - 56. Let t be g(-30). Factor d**2 - 3/2*d**3 + 0 + 0*d + 1/2*d**t.
d**2*(d - 2)*(d - 1)/2
Determine k so that 0 - 1/2*k**3 - 3/2*k**2 - k = 0.
-2, -1, 0
Let y(w) be the first derivative of 2*w - 77/10*w**5 + 17/8*w**4 + 8*w**2 - 14 - 49/12*w**6 + 73/6*w**3. Solve y(f) = 0.
-1, -2/7, 1
Let l = -116594/33 + 10516/3. Let k = 28 + l. Factor 0*s - 4/11*s**3 - k*s**2 - 2/11*s**4 + 0.
-2*s**2*(s + 1)**2/11
Let v(c) be the first derivative of -c**4 + 12*c**3 + 24*c**2 - 80*c + 26. Factor v(t).
-4*(t - 10)*(t - 1)*(t + 2)
Let k(z) be the first derivative of z**4/4 - 2*z**3/3 - z**2 - 3*z + 18. Let l be k(3). Factor l - 1/3*f**3 + 1/3*f**2 + 0*f.
-f**2*(f - 1)/3
Let o be 36/9*(-36)/(-16). Let t(b) be the third derivative of 0*b - 4/945*b**7 - 1/1512*b**8 + o*b**2 + 0*b**4 + 0*b**3 - 1/135*b**6 + 0 + 0*b**5. Factor t(k).
-2*k**3*(k + 2)**2/9
Suppose 0 = -5*i - i - 42. Let v be -4*(-1)/i + 75/21. Factor 2/7*f**v + 0 - 2/7*f + 2/7*f**4 - 2/7*f**2.
2*f*(f - 1)*(f + 1)**2/7
Let i be (4/(-6))/(18/1485). Let l(p) = 3*p**2 - 28*p + 49. Let b(z) = 80*z**2 - 755*z + 1325. Let v(w) = i*l(w) + 2*b(w). Factor v(y).
-5*(y - 3)**2
Let c(l) = 3*l**2 + 5*l + 5. Let k be c(-3). Let s be 2/k + (-476)/(-867). Find j such that -20/3*j**3 - s - 2*j**4 - 8*j**2 - 4*j = 0.
-1, -1/3
Let j(s) be the first derivative of 2*s**2 + 1 + 8*s - 4/3*s**3. What is n in j(n) = 0?
-1, 2
Suppose 5*x - 207 = 28. Let z = x + -45. Factor -1/4*t**z - 1/4*t + 0.
-t*(t + 1)/4
Let z(q) be the first derivative of q**7/280 + q**6/40 + 3*q**5/40 + q**4/8 + 10*q**3/3 + 9. Let t(u) be the third derivative of z(u). Factor t(d).
3*(d + 1)**3
Let y = 4761/9514 - 2/4757. Let g(f) be the first derivative of -y*f**2 - f + 1/4*f**4 - 4 + 1/3*f**3. Factor g(h).
(h - 1)*(h + 1)**2
Let o(q) = 3*q**2 - 15*q + 7. Let z be o(6). Let n = z - 22. Factor -15*x**3 - 10*x**n + 10*x**2 + 5*x**4 + 5*x**3 + 5*x**3.
5*x**2*(x - 2)*(x - 1)
Let z(h) = 4*h - 25. Let v be z(5). Let b(t) = -38*t**2 - 67*t + 45. Let w(x) = -25*x**2 - 45*x + 30. Let g(y) = v*b(y) + 8*w(y). Suppose g(a) = 0. What is a?
-3, 1/2
Let d(l) be the first derivative of 7*l**4/18 + 4*l**3/27 + 30. Solve d(s) = 0.
-2/7, 0
Let y(l) be the first derivative of -2*l**3 - 2*l + 16 - 1/2*l**4 - 3*l**2. Factor y(a).
-2*(a + 1)**3
Let f(c) = 3*c**2 - 2*c - 1. Let o(g) = -5*g**2 + 4*g + 2. Let d(h) = -h - 9. Suppose k - 32 = 3*k. Let x be d(k). Let p(q) = x*f(q) + 4*o(q). Factor p(v).
(v + 1)**2
Let l(t) = t**3 - 4*t**2 - t + 4. Let v be l(4). Let n(f) = -11 + f**2 + 0 - f + 2*f + v*f**2. Let p(g) = g**2 + g + 1. Let c(q) = -n(q) - 3*p(q). Factor c(d).
-4*(d - 1)*(d + 2)
Factor 0*k**2 - 1/7*k**3 + 0 + 4/7*k.
-k*(k - 2)*(k + 2)/7
Suppose 0 = -3*z + 4 + 2. Suppose -2*c**z - 7*c + 0*c**2 + 7*c + 2 = 0. What is c?
-1, 1
Suppose 0 = 2*l - 61 + 3. Let p(o) = o**3 - o**2 + o + 33. Let c be p(0). Factor l*d**2 + c*d + 69*d**2 + 8 + 23*d.
2*(7*d + 2)**2
Suppose 4*d = -6*j + 2*j + 8, d = j + 2. Let u(s) be the second derivative of 0 + j*s**2 - 1/12*s**4 - 1/6*s**3 + s. Suppose u(y) = 0. Calculate y.
-1, 0
Let b = 1678 - 1673. Let l(u) be the third derivative of 1/504*u**8 + 0 - u**2 + 0*u**3 - 1/90*u**b - 1/105*u**7 + 1/60*u**6 + 0*u + 0*u**4. Factor l(k).
2*k**2*(k - 1)**3/3
Suppose -15*m = -13*m + 3*j - 19, -2*j = -4*m - 2. Let p(q) be the first derivative of -1/9*q**3 + 0*q - 1/2*q**2 + m. Factor p(y).
-y*(y + 3)/3
Let l be -7 - 0 - (-44 + 37). Let f(g) be the third derivative of 0*g**4 - 1/1050*g**7 - 1/300*g**5 + 0*g + l + 0*g**3 + 6*g**2 - 1/300*g**6. Factor f(j).
-j**2*(j + 1)**2/5
Let x be (-4 + 64 - 2) + 0. Let q = x + -40. Find a such that q*a**2 + a**2 - 29*a**3 + 9*a**3 + 9*a**2 - 12 + 4*a = 0.
-3/5, 1
Let t(y) be the third derivative of -y**10/907200 + y**8/120960 - 2*y**5/5 + 47*y**2. Let w(n) be the third derivative of t(n). Let w(s) = 0. Calculate s.
-1, 0, 1
Factor 1336 + 13*u - 1336 - u**2.
-u*(u - 13)
Suppose 4*w + 6*d - 134 = 4*d, 4*w - d = 125. Factor 3*z**3 + 12*z**4 + 4*z**2 - 24*z - 16*z**2 - 11*z**3 + w*z.
4*z*(z - 1)*(z + 1)*(3*z - 2)
Let y = -21 - -67. Suppose -y*j = -44*j - 6. Factor 2/9*p - 2/3*p**2 + 0 - 2/9*p**4 + 2/3*p**j.
-2*p*(p - 1)**3/9
Find p, given that 6*p**4 + 20*p**3 + 1/3*p**5 - 200/3*p**2 + 0*p + 0 = 0.
-10, 0, 2
Factor -4*z**2 - 18*z - 28 - 34*z - 7*z - 34*z + 61*z.
-4*(z + 1)*(z + 7)
Let i(v) = 2 - 4 + 2*v + 4 + 3*v**2. Let q(g) = 2*g**2 + 3*g - 7. Let k(y) = -y**2 - y + 3. Let d(p) = -5*k(p) - 2*q(p). Let m(h) = -2*d(h) + i(h). Factor m(a).
(a + 2)**2
Let t(q) = q**2 - q - 3. Let o be t(-2). Factor -5*v + v + 6*v - 4*v**o - 2*v**2.
-2*v*(v + 1)*(2*v - 1)
Factor 2/3*x**4 + 16/3 + 2/3*x**3 - 4*x**2 - 8/3*x.
2*(x - 2)*(x - 1)*(x + 2)**2/3
Solve 5/2*p - 4 - 1/4*p**2 = 0 for p.
2, 8
Let a(d) = d**2 + 5*d + 2. Let l be a(-5). Sup