+ 1)*(w + 65)/8
Suppose -2*z = -5*p + 3, p + 4 = -z + 6. Let x be z/2 + 17/(-34). Determine u so that x + 1/5*u + 3/5*u**3 + 3/5*u**2 + 1/5*u**4 = 0.
-1, 0
Let m = 472/2865 - 6/191. Let o(a) be the first derivative of -2/25*a**5 - 1/5*a**2 + 1/10*a**4 + 7 + m*a**3 + 0*a. Factor o(s).
-2*s*(s - 1)**2*(s + 1)/5
Let g be 0/(3/(-2)*(-62)/(-93)). Factor 0 + g*j + 1/4*j**3 + j**2.
j**2*(j + 4)/4
Let t(g) be the third derivative of 3/8*g**4 + 0 + 1/3*g**3 - 39*g**2 + 0*g - 1/30*g**6 + 1/20*g**5. Factor t(b).
-(b - 2)*(b + 1)*(4*b + 1)
Let m = 2713/18795 + -4/2685. Factor -1/7*k**2 + 1/7*k**4 + 0*k + m*k**5 - 1/7*k**3 + 0.
k**2*(k - 1)*(k + 1)**2/7
Let h(a) = 2*a**2 - 2*a - 5. Let c be h(3). Factor -4*x + 2*x + c*x**2 + 2*x**3 + 7*x**5 - 7*x**3 - 9*x**4 + 2*x**2.
x*(x - 1)**2*(x + 1)*(7*x - 2)
Solve 40*d - 96 - 14/3*d**2 + 1/6*d**3 = 0 for d.
4, 12
Let h(n) be the second derivative of -1/15*n**5 + 4/3*n**2 - 1/6*n**4 + 4/9*n**3 + 0 + 29*n + 1/45*n**6. Let h(b) = 0. Calculate b.
-1, 2
Let w(g) be the second derivative of 0 + 1/75*g**5 - 1/900*g**6 + 5/6*g**3 + 0*g**2 - 1/15*g**4 - 5*g. Let i(y) be the second derivative of w(y). Factor i(m).
-2*(m - 2)**2/5
Let b(v) be the first derivative of 2*v**7/105 + 17*v**6/90 + 2*v**5/3 + 2*v**4/3 - 16*v**3/3 - 36. Let i(u) be the third derivative of b(u). Solve i(p) = 0.
-2, -1/4
Suppose -17*u = -28 - 23. Let k(i) be the third derivative of -1/5*i**5 + 0 - 1/30*i**6 + 0*i**4 - i**2 + 0*i + 0*i**u. Factor k(s).
-4*s**2*(s + 3)
Let v(l) be the first derivative of -l**9/3528 + l**8/2940 + l**7/2940 - l**3/3 - 8. Let m(n) be the third derivative of v(n). Factor m(q).
-2*q**3*(q - 1)*(3*q + 1)/7
Let y(p) = p**2 + 11*p - 9. Let m be y(-12). Suppose m*x - 4 = x. Factor -3*c**2 - x*c + 0*c**2 + 5*c + 6 - 9*c**3 - 9*c**2.
-3*(c + 1)**2*(3*c - 2)
Factor -27*r**3 - 24*r**2 - r**4 - 14*r**2 - 43*r + 17*r**3 + 11*r + 6*r**2.
-r*(r + 2)*(r + 4)**2
Let x(l) = l**2 + l - 1. Let n be 44/110 - (-13)/5. Let b(j) = -5*j**2 - 11*j - 5. Let o(t) = n*x(t) + b(t). Factor o(f).
-2*(f + 2)**2
Let f(v) be the second derivative of v**7/630 + v**6/360 - v**5/180 - v**4/72 - 7*v**2/2 - 2*v. Let y(k) be the first derivative of f(k). Factor y(x).
x*(x - 1)*(x + 1)**2/3
Find x, given that 1120*x + 6400/3 + 1/3*x**4 + 14*x**3 + 601/3*x**2 = 0.
-16, -5
Factor -493*c - 22*c - 6*c - 115 - 45*c**3 - 174*c - 1065*c**2.
-5*(c + 23)*(3*c + 1)**2
Factor 22*i**3 - 132*i**2 - 4*i**4 - 56 + 67*i**3 - 133*i**3 - 148*i.
-4*(i + 1)**2*(i + 2)*(i + 7)
Determine d so that -4*d**2 + 4 - d + 2 - 6 + d**3 + 4 + 0 = 0.
-1, 1, 4
Solve -6*i - 114*i**4 - 8*i**2 + 4*i**3 - 2*i**5 + 8*i**3 - 20*i + 118*i**4 - 12 = 0.
-1, 2, 3
Let q = 4 - 3. Let w(i) = q - 2 - 9*i**2 - i**2 - i**2. Let g(u) = 45*u**2 + 5. Let f(j) = 6*g(j) + 25*w(j). Factor f(k).
-5*(k - 1)*(k + 1)
Let l be ((-14)/(-24))/(567/216). Determine p, given that 0 - 2/3*p**4 + 0*p**2 + 0*p + 4/9*p**3 + l*p**5 = 0.
0, 1, 2
Let w(i) be the first derivative of 6*i**5/55 - 9*i**4/11 + 162*i**2/11 - 486*i/11 - 58. Suppose w(y) = 0. What is y?
-3, 3
Let -3/5*x**2 + 63/5 - 12/5*x = 0. Calculate x.
-7, 3
Suppose 0 = 13*c - 7*c - 24. Let n(o) be the first derivative of 1/6*o**c + 4/3*o + 5/3*o**2 + 8/9*o**3 - 9. Determine s so that n(s) = 0.
-2, -1
Let d be (3/6 - 2)/((-33)/(-66)) - -5. Let -8/5*n**3 + 0 - 4/5*n - 2*n**d - 2/5*n**4 = 0. Calculate n.
-2, -1, 0
Let k be 3591/30*(70/15 + -3). Let z = k - 198. Factor z + 1/6*r**2 - r.
(r - 3)**2/6
Let n = -17 - -19. Factor -2*a**2 + 0*a**3 + 8*a**2 - 5*a**3 + 9*a**n.
-5*a**2*(a - 3)
Let d(o) be the first derivative of 26569*o**4/2 - 1304*o**3/3 + 4*o**2 + 437. Factor d(m).
2*m*(163*m - 2)**2
Let 6/5 + k + 1/5*k**2 = 0. What is k?
-3, -2
Suppose -g - 2*g - 1 = -5*j, 0 = -4*g - 2*j + 16. Solve 20*u**2 + 86*u**g - 167*u**3 + 86*u**3 = 0 for u.
-4, 0
Solve -9/4 + 5/2*g - 1/4*g**2 = 0 for g.
1, 9
Find y such that 36*y + 44/3 + 20/3*y**3 + 28*y**2 = 0.
-11/5, -1
Let q be 114/22 - (-2 - 48/(-22)). Suppose -2*w**5 + 15*w**3 - q*w**3 - 10*w**3 = 0. What is w?
0
Let k be (-258)/(-9)*9/(-6). Let o = k - -68. Suppose -2*n**2 - o*n**3 + 17*n**3 + 9*n**3 = 0. Calculate n.
0, 2
Let h(r) be the second derivative of -r**5/50 - r**4/30 + 8*r**3/15 + 12*r**2/5 - 7*r - 16. Determine w so that h(w) = 0.
-2, 3
Let s(v) = v**2 - 9*v - 70. Let l be s(14). Let p(b) be the first derivative of -1/5*b**2 - 2 + 2/3*b**3 + l*b. Find n such that p(n) = 0.
0, 1/5
Let w = 635 + -633. Solve 1/5*o**4 + 0*o + 1/5 + 0*o**3 - 2/5*o**w = 0.
-1, 1
Suppose 4*d - 5 - 15 = 0. Factor 21*s**3 - 15*s**2 - 5*s - 13*s**3 - 23*s**3 - d*s**4.
-5*s*(s + 1)**3
Let h = -154 - -216. Solve -3*c - h + 44 + 0*c**2 + 3*c**2 = 0.
-2, 3
Let q(m) be the second derivative of m**7/42 - 3*m**6/10 + 3*m**5/2 - 23*m**4/6 + 11*m**3/2 - 9*m**2/2 - 184*m. Factor q(y).
(y - 3)**2*(y - 1)**3
Suppose -2*j - 100 = -3*b, -4*b + 0*j + j = -140. Let o be 64/36 - 2 - (-26)/b. Find u, given that 0*u + 0 + u**3 - 1/2*u**4 - o*u**2 = 0.
0, 1
Let q be 0 + (-17)/((-459)/12). Let g(y) be the second derivative of 4/27*y**3 - q*y**2 + 0 - y - 1/54*y**4. Factor g(d).
-2*(d - 2)**2/9
Let l(t) be the second derivative of t**4/4 + 12*t**3 + 216*t**2 + 146*t. What is j in l(j) = 0?
-12
Let t(s) = s**2 - s. Let y(z) = z**2 - z - 1. Let r(d) = -3*d**2 + 12*d - 7. Let v(a) = r(a) + 2*y(a). Let u(x) = -4*t(x) - v(x). Factor u(g).
-3*(g - 1)*(g + 3)
Let x(m) be the third derivative of -m**8/840 - 2*m**7/175 - m**6/75 + 3*m**5/25 + m**4/12 - 4*m**3/5 - 56*m**2 - 1. What is s in x(s) = 0?
-4, -3, -1, 1
Let g = -2331 + 2334. Factor 5/3*h - 2/3 + 1/3*h**g - 4/3*h**2.
(h - 2)*(h - 1)**2/3
Let k be 3 + (1 - (2 - 3)). Determine u so that -6*u**2 + 6*u**4 - u**5 + 34*u**3 - 31*u**3 - 2*u**k = 0.
-1, 0, 1, 2
Let i be 21/(-6)*16/4. Let o = i - -16. Factor h - 3*h**2 + 0*h**2 - h**3 + 1 + 0*h + o*h**2.
-(h - 1)*(h + 1)**2
Solve -2/11*o**4 - 8/11 + 6/11*o**2 - 8/11*o + 4/11*o**3 = 0 for o.
-1, 2
Let q**5 - 3*q**3 + 2*q - 1041*q**2 - 1039*q**2 - q**4 + 2081*q**2 = 0. What is q?
-1, 0, 1, 2
Let a = 869 - 869. Factor 4/5*o**4 + 0 - 1/5*o**5 + a*o + 2/5*o**2 - o**3.
-o**2*(o - 2)*(o - 1)**2/5
Let f = 3079/12 + -256. Let h(z) be the second derivative of 7/24*z**4 + 3*z + 0 - 1/20*z**5 + 1/2*z**2 - f*z**3. Suppose h(u) = 0. What is u?
1/2, 1, 2
Let o(t) = -t**4 + 29*t**3 + 109*t**2 + 75*t + 4. Let a(i) = 2*i**4 - 28*i**3 - 110*i**2 - 75*i - 5. Let b(p) = -4*a(p) - 5*o(p). Determine s so that b(s) = 0.
-5, -1, 0
Let c(s) = 2*s**4 - 4*s**3 - 8*s**2 + s. Let z(n) = -7*n**2 + 237*n - 237*n - 4*n**3 + n**4. Let w(a) = -2*c(a) + 3*z(a). Find h, given that w(h) = 0.
-2, -1, 0
Suppose -20*p = -19*p + 7. Let u be (-4 - (p + 2))*3. Find a such that 4*a**u - 8*a**2 + 11*a**4 - 21*a**4 + 14*a**4 = 0.
-2, 0, 1
Let c(n) = 7*n**2 - 41 - 11*n**2 - 11*n**2 - 78*n + 22*n. Let h(v) = -5*v**2 - 19*v - 14. Let r(a) = -4*c(a) + 11*h(a). Factor r(u).
5*(u + 1)*(u + 2)
Let t(a) be the first derivative of 0*a + 4*a**5 + 0*a**2 + 5/6*a**6 - 8 + 25/4*a**4 + 10/3*a**3. Factor t(d).
5*d**2*(d + 1)**2*(d + 2)
Let z(q) be the first derivative of q**3/7 - 174*q**2/7 + 10092*q/7 - 194. Factor z(a).
3*(a - 58)**2/7
Suppose -130/11*o - 200/11 - 2/11*o**3 - 28/11*o**2 = 0. Calculate o.
-5, -4
Suppose -43 = 3*h - 49. Let t be (-1 - -2)/(3 + h). Find z such that 1/5*z**2 + 0 + t*z = 0.
-1, 0
Let i(g) be the first derivative of g**6/10 + 27*g**5/25 + 87*g**4/20 + 43*g**3/5 + 9*g**2 + 24*g/5 - 611. Factor i(r).
3*(r + 1)**3*(r + 2)*(r + 4)/5
Let n(v) be the first derivative of 2*v**6/3 + 16*v**5/5 + 6*v**4 + 16*v**3/3 + 2*v**2 + 198. Factor n(b).
4*b*(b + 1)**4
Suppose -5*r + 94 = -31. Let c = 27 - r. What is a in 0*a**2 - 5*a**2 + 2*a**3 + 3*a**c + 8*a**2 - 2*a**4 - 10*a + 4 = 0?
-2, 1
Suppose -d + 86 - 83 = 0, -2*c - d + 11 = 0. Let q(k) be the first derivative of -2 + 4/33*k**3 + 0*k + 1/22*k**c + 0*k**2. Factor q(b).
2*b**2*(b + 2)/11
Let m(c) be the second derivative of -c**4/6 + 68*c**3/9 - 44*c**2/3 + 71*c. Factor m(g).
-2*(g - 22)*(3*g - 2)/3
Let q = -29778/5 - -388714/65. Determine m so that 280/13*m**3 - 128/13 - 98/13*m**4 - q*m + 24/13*m**2 = 0.
-4/7, 2
Let g(w) = -w**2 + w. Let v(q) = -7*q**2 + 5. Let k(t) = 6*g(t) - v(t). Let o be k(1). Determine x so that 14/5*x + o*x**2 - 8/5*x**3 - 4/5 = 0.
-1, 1/4, 2
