2)**2*(n + 1)/7
Let p = -75/2 - -938/25. Let l(q) be the third derivative of 0 - 2/525*q**7 - 1/60*q**4 + 1/60*q**6 - p*q**5 + 0*q + 1/15*q**3 + 6*q**2. Factor l(u).
-2*(u - 1)**3*(2*u + 1)/5
Let x(q) be the second derivative of -q**5/10 - 5*q**4/6 - 8*q**3/3 - 4*q**2 - 5*q + 10. Solve x(j) = 0 for j.
-2, -1
Suppose -2279*i = -2290*i + 33. Let m be ((-8)/(-28))/((-9)/(-7)). Factor 0 + 4/3*p**i + 8/9*p**4 + m*p**5 + 2/9*p + 8/9*p**2.
2*p*(p + 1)**4/9
Let d(l) be the third derivative of -l**5/60 + l**4/6 - l**3/3 - 5*l**2. Let m be d(2). Factor -3*y + 9 + 9*y + 6*y**2 - 5*y**m.
(y + 3)**2
Let t(r) be the third derivative of -r**7/5040 - r**6/480 - 5*r**4/8 + r**2. Let j(d) be the second derivative of t(d). Factor j(k).
-k*(k + 3)/2
Let l(w) = -44*w**3 - 88*w**2 + 132*w - 32. Let y(j) = -4*j**3 - 8*j**2 + 12*j - 3. Let m = -64 - -32. Let d(r) = m*y(r) + 3*l(r). Let d(u) = 0. Calculate u.
-3, 0, 1
Solve 3*h + 2*h**2 - 26*h - 77*h + 2*h**2 = 0.
0, 25
Suppose 22 = 19*h - 14*h + 2*b, 3*h + 4*b - 16 = 0. Find l, given that -15/4*l**3 + 0 - 5/4*l**5 - 5/4*l**2 - 15/4*l**h + 0*l = 0.
-1, 0
Let i = -92 - -50. Let j = i - -85/2. Find d such that -1/2 - j*d**4 + d**2 - 1/2*d + d**3 - 1/2*d**5 = 0.
-1, 1
Let f(i) = -i + 5 + 2 + 2 - 4. Let b be f(3). Find h, given that h**4 + 4*h**3 - b*h**3 - 5*h**3 - h**2 + 2*h**3 + h**5 = 0.
-1, 0, 1
Let y = 15994 - 79958/5. Solve 2/5*v**2 - y*v + 0 = 0.
0, 6
Let l = 842/1245 - 4/415. Solve l*n**2 + 0 - 2*n = 0.
0, 3
Let y(g) be the first derivative of 1 + g**4 + 2*g**2 - 24*g + 16/3*g**3. Suppose y(a) = 0. What is a?
-3, -2, 1
Suppose -91 = -4*l - 103. Let o be l/((-1)/1)*(-56)/(-42). Find y, given that 0*y**3 - 2/5*y**2 + 2/5*y**o + 0*y + 0 = 0.
-1, 0, 1
Factor 56/3*p + 64/3*p**2 + 2/3*p**4 + 0 + 22/3*p**3.
2*p*(p + 2)**2*(p + 7)/3
Suppose 6*k - 81 = k + 3*r, 4*k + 2*r - 56 = 0. Let b be (k/5)/((-6)/(-8)). Determine h so that -5*h**3 + 2*h**b + 0*h**3 - 5*h**4 + 2*h**3 + 3*h + 3*h**2 = 0.
-1, 0, 1
Let t be (-2)/((0 + -1)*1). Determine h, given that 4*h**2 - h**4 - h**3 + 3*h**5 - h + 0*h**t - 3*h**4 - h**3 = 0.
-1, 0, 1/3, 1
Suppose -5*x + 2*x = 0. Suppose -4*r + 8 = g, x*r + 2*g = -r - 5. Let -2/7*b**2 + 0 + 2/7*b**r - 4/7*b = 0. What is b?
-1, 0, 2
Factor 7/2*b - 1/2*b**3 + 0*b**2 + 3.
-(b - 3)*(b + 1)*(b + 2)/2
Let f(o) be the third derivative of 0 - 6*o**2 + 0*o - 1/10*o**6 - 1/6*o**4 - 2/105*o**7 - 1/5*o**5 + 0*o**3. Solve f(c) = 0 for c.
-1, 0
Let b be 40/(-25)*(-215)/559. Solve 0 - b*x**2 - 10/13*x + 2/13*x**3 = 0 for x.
-1, 0, 5
Let q(z) = -3*z**3 - 259*z**2 - 5289*z + 5551. Let r(g) = 6*g**3 + 517*g**2 + 10578*g - 11101. Let m(s) = -7*q(s) - 4*r(s). Factor m(y).
-3*(y - 1)*(y + 43)**2
Let b(k) be the third derivative of -1/315*k**7 + 0*k + 0 + 1/10*k**5 - 1/20*k**6 + 0*k**3 + 1/168*k**8 - 1/18*k**4 - 12*k**2. Let b(z) = 0. What is z?
-2, 0, 1/3, 1
Let a(z) = -z - 9. Let s be a(-6). Let n(y) = -y**3 - 4*y**2 - 5*y - 3. Let l be n(s). Factor 4*v + 1 + 6 - 7 + v**l - 4*v**2.
v*(v - 2)**2
Let t(q) be the second derivative of 18*q**5/5 + q**4 - 26*q**3/3 + 4*q**2 + 119*q. Factor t(x).
4*(x + 1)*(3*x - 2)*(6*x - 1)
Determine k so that 0 - 1/6*k**4 + 5/6*k**3 + 1/6*k**2 - 5/6*k**5 + 0*k = 0.
-1, -1/5, 0, 1
Let y(q) be the second derivative of 0 + 37/144*q**4 + 14*q + 7/240*q**5 + 5/36*q**3 + 0*q**2. Factor y(j).
j*(j + 5)*(7*j + 2)/12
Let n(r) be the third derivative of -r**8/3192 + 2*r**7/665 - r**6/285 - r**5/95 + 5*r**4/228 - 98*r**2. Solve n(f) = 0 for f.
-1, 0, 1, 5
Let i = -139/2 + 70. Let b(h) be the first derivative of -i*h + 3 - 3/4*h**2 - 1/3*h**3. Determine f, given that b(f) = 0.
-1, -1/2
Suppose o**3 - 1156 + 929*o + 132*o**2 + 3*o**3 + 91*o = 0. Calculate o.
-17, 1
Let n = -12089 + 48357/4. Factor -1/4*d**4 + 1/4*d**2 + 1/4*d**3 - n*d + 0.
-d*(d - 1)**2*(d + 1)/4
Let u(z) = -3*z**2 + 21*z - 2. Let r be u(8). Let y = 53/2 + r. Factor 0 - 1/2*s**2 - 1/2*s**5 + 0*s + y*s**3 + 1/2*s**4.
-s**2*(s - 1)**2*(s + 1)/2
Let b(m) be the first derivative of -14*m**5/75 + 13*m**4/15 + 16*m**3/45 + 21. Determine g, given that b(g) = 0.
-2/7, 0, 4
Let z(n) be the third derivative of -3*n**8/952 - 38*n**7/1785 - 7*n**6/204 - n**5/85 - 4*n**2 + 91. Let z(v) = 0. Calculate v.
-3, -1, -2/9, 0
Suppose 6 = -g + 3*g. Suppose 2*p - 6*p + 3*t = 1, 3*t - 3 = g*p. Factor -k**3 + k + 7*k**p - k**2 - 6*k**2 - k**2 + 1.
-(k - 1)*(k + 1)**2
Factor -3/2*m**2 - 3/2*m**3 + 11/2*m + 1/2*m**4 - 3.
(m - 3)*(m - 1)**2*(m + 2)/2
Let u(j) = j**3. Let p be 48/(-54) - (-4)/(-36). Let r(q) = -15*q**3 + 6*q**2 + 9*q - 6. Let v(m) = p*r(m) - 6*u(m). Factor v(g).
3*(g - 1)*(g + 1)*(3*g - 2)
Let g be (-2)/(-9)*3*75/10. Determine h, given that g + 251 + h**3 + 2*h**3 + 192*h + h**3 - 60*h**2 = 0.
-1, 8
Determine i, given that 20 - 9*i + 29*i - 152*i**2 - 23*i**2 = 0.
-2/7, 2/5
Let w(x) be the second derivative of -x**4/16 - 7*x**3/12 + 5*x**2/8 + 2*x + 34. Factor w(m).
-(m + 5)*(3*m - 1)/4
Let u(o) be the second derivative of o**6/50 + 57*o**5/25 + 759*o**4/10 + 1406*o**3/5 + 4107*o**2/10 + 5*o - 2. Factor u(i).
3*(i + 1)**2*(i + 37)**2/5
Let j = 5/624 + 1223/3120. Factor 2*p**3 - 8/5*p**2 + 0 - j*p.
2*p*(p - 1)*(5*p + 1)/5
Let i(q) = -8*q**2 + 12*q + 36. Suppose 3*a - 6*a = 6. Let u(x) = x**2. Let h(p) = a*i(p) - 18*u(p). Factor h(o).
-2*(o + 6)**2
Suppose 1/4*o + 3 - 1/4*o**2 = 0. What is o?
-3, 4
Suppose 0 = 11*m - 6*m - 4*t - 23, 0 = 4*m - t - 14. Factor 2/7*d**5 + 0 - 8/7*d**2 + 12/7*d**m - 8/7*d**4 + 2/7*d.
2*d*(d - 1)**4/7
Let g = 242 + -242. Let n(h) be the first derivative of g*h - 1/4*h**4 + 0*h**3 - 1/5*h**5 + 0*h**2 - 1. Determine u, given that n(u) = 0.
-1, 0
Let z be (-2)/(-8)*1/(-3 + 4). Let l(x) be the second derivative of -2*x**2 - 1/20*x**5 + 0*x**3 - 5*x + 0 + z*x**4. Solve l(g) = 0.
-1, 2
Suppose 9*q = 4*q - 10. Let c be (-4)/(2 + -2 + q). Factor -33*h**3 - h**2 + 8*h**3 - 2*h**c - 7*h**2.
-5*h**2*(5*h + 2)
Let x(w) = -w**2 - w. Let y(r) = -3*r**3 - 23*r**2 - 38*r - 18. Let v(i) = -5*x(i) + y(i). Factor v(k).
-3*(k + 1)*(k + 2)*(k + 3)
Let z be 2 - 2844/15*(-4)/6. Let y = z + -128. Determine l, given that -y*l**3 - 2/5 + 2/5*l**2 + 2/5*l = 0.
-1, 1
Suppose 12*n = 25*n + 47*n - 120. Suppose -8/11*k - 6/11 - 2/11*k**n = 0. Calculate k.
-3, -1
Let s = -4 + 5. Let q be (35/(-33) + s)*(-1 - 2). Suppose 0*m**2 + 0 - q*m + 2/11*m**3 = 0. Calculate m.
-1, 0, 1
Let g(v) be the first derivative of -v**6/24 + 7*v**5/80 - v**4/24 + 23*v + 9. Let s(d) be the first derivative of g(d). Factor s(o).
-o**2*(o - 1)*(5*o - 2)/4
Let c = -8 - -10. Let v be (-437)/(-57) + c/6. Find y such that 3 - v*y**2 - 3 - 16*y**3 + 8*y**4 + 12*y**5 + 17*y - 13*y = 0.
-1, 0, 1/3, 1
Let t = 81610/3 + -27203. Factor 1/3*h**3 + 4/3*h**2 + 0 - t*h**4 - 4/3*h.
-h*(h - 2)*(h - 1)*(h + 2)/3
Let m(z) = 30*z**5 + 33*z**4 + 9*z**3 - 15*z**2 - 12*z - 9. Let u(x) = 7*x**5 + 8*x**4 + 2*x**3 - 4*x**2 - 3*x - 2. Let w(g) = 2*m(g) - 9*u(g). Solve w(a) = 0.
-1, 0, 1
Let q = -371 + 377. Let m(r) be the second derivative of 1/36*r**4 + q*r + 0 + 0*r**2 + 0*r**3. Factor m(z).
z**2/3
Factor 8*o**2 + 2*o**3 + o**3 - 30*o**2 - 46*o**2 - 7*o**3 - 120*o.
-4*o*(o + 2)*(o + 15)
Suppose 2*q - 5*n + 12 = 0, -2*n + 58 - 54 = -q. Let y(w) be the first derivative of 0*w**3 + 0*w + 3 + 1/7*w**2 - 1/14*w**q. Determine g so that y(g) = 0.
-1, 0, 1
Let r(y) = -2*y**3 + 2*y**2 + 2*y + 2. Suppose 2*c + 4*c - 12 = 0. Let z(l) = -l**5 + l**4 + l + 1. Let o(h) = c*z(h) - r(h). Suppose o(a) = 0. Calculate a.
-1, 0, 1
Suppose -15*c + 407 = -4*c. Let f = c - 37. Factor 4/5*y**2 + 0*y**4 - 6/5*y**3 + 0*y + f + 2/5*y**5.
2*y**2*(y - 1)**2*(y + 2)/5
Factor -32/13*q**2 - 2/13*q**3 - 128/13*q + 0.
-2*q*(q + 8)**2/13
Suppose -8*w + 20 = -3*w. Let i(c) be the first derivative of 0*c + 1/4*c**4 + 0*c**2 + w + 1/3*c**3. Factor i(d).
d**2*(d + 1)
Let o(b) = -b**3 + 7*b**2 - 5*b - 5. Let h be o(5). Determine j so that 10*j**2 + 8*j - h*j**2 + 4*j**4 - 2*j**2 = 0.
-2, 0, 1
Suppose 6 = -25*a + 81. Let o(n) be the third derivative of 11*n**2 + 25/3*n**a - 5/6*n**4 + 0*n + 1/30*n**5 + 0. Factor o(p).
2*(p - 5)**2
Let w be (15 + 23)/((-2)/14) - 0. Let b = w - -533/2. Factor 1/2*j**2 + 0 - b*j.
j*(j - 1)/2
Let -3*w**5 - 50*w**3 - w**5 + 4*w**4 + 58*w**3 + 0*w**5 = 0. What is w?
-1, 0, 2
Let j(w) be the third derivative o