2 = 0.
-1
Let b(k) be the first derivative of -k**9/7056 - k**8/5880 + 3*k**7/1960 - k**5/210 + 18*k**3 - 38. Let s(u) be the third derivative of b(u). Solve s(c) = 0.
-2, -2/3, 0, 1
Factor -4*c**5 + 21*c**3 + 649 - 56*c**2 - 661 + 44*c + 3*c**3 + 4*c**4.
-4*(c - 1)**4*(c + 3)
Let j be -250*(-3)/(-8)*(26/10 - 3). Factor -j*s**2 + 9*s**5 - 51*s**4 - 21*s - 2 + 361/4*s**3.
(s - 2)**3*(6*s + 1)**2/4
What is d in 174 + 47*d - 257 - 40*d**2 - 257 - 392*d + 35*d**2 = 0?
-68, -1
Suppose -52*p + 27 - 27 = 3*p. Solve p + 3/8*d**2 + 1/8*d**3 - 1/2*d = 0.
-4, 0, 1
Let s be (29/((-406)/(-49)))/(14/8). Factor 1/10*g**s - 1/10*g**4 + 0 - 1/10*g**3 + 1/10*g.
-g*(g - 1)*(g + 1)**2/10
Let z(q) be the second derivative of q**4/30 + q**3/3 - 14*q**2/5 - 2*q - 20. Factor z(h).
2*(h - 2)*(h + 7)/5
Let n = -13186 - -39562/3. Factor 14*x**3 + 10/3*x**5 + n*x + 34/3*x**4 + 0 + 22/3*x**2.
2*x*(x + 1)**3*(5*x + 2)/3
Let s be 1 - 1 - -3 - 1. Find c, given that -2*c**2 - 52*c + 3*c**s + 2 + 55*c = 0.
-2, -1
Let i(f) = f**3 + 2*f - 1. Let o be i(2). Suppose -13*r + 4 = -o*r. Factor 0*q + 6/5*q**r + 4/5*q**3 + 0 - 2/5*q**4.
-2*q**2*(q - 3)*(q + 1)/5
Determine b so that -40 + 1/3*b**3 + 17/3*b**2 + 22/3*b = 0.
-15, -4, 2
Let z(g) be the second derivative of g**6/30 - g**5/20 - 293*g. Factor z(p).
p**3*(p - 1)
Suppose -5*w - 20 + 3 = 4*j, -2*j = 4*w + 16. Factor -n**j - 3 + 2*n**2 + 4*n - 6*n + 0.
(n - 3)*(n + 1)
Factor 32/9*g - 8/3 - 2/3*g**2 - 2/9*g**3.
-2*(g - 2)*(g - 1)*(g + 6)/9
Let d be -9 + 7 - (-241)/120. Let x(j) be the third derivative of -1/24*j**4 - 1/60*j**5 + 1/210*j**7 + 0*j**3 + 2*j**2 + d*j**6 + 0 + 0*j. Factor x(t).
t*(t - 1)*(t + 1)**2
Suppose 12*j + 18*j + 6*j = -14*j. Determine k, given that -1/4*k**4 + 1/2*k**3 - 2*k + k**2 + j = 0.
-2, 0, 2
Let m(v) be the third derivative of -9*v**2 + 1/1176*v**8 + 1/21*v**3 - 1/28*v**4 - 1/245*v**7 + 0 + 1/210*v**6 + 0*v + 1/105*v**5. What is x in m(x) = 0?
-1, 1
Let n(w) be the third derivative of -w**6/120 - 17*w**5/60 + 37*w**4/24 - 19*w**3/6 - 44*w**2 + 1. Determine g, given that n(g) = 0.
-19, 1
Suppose 0*d - 9*d + 18 = 0. Determine j so that -2*j - 28 + 28 - d*j**5 + 4*j**3 = 0.
-1, 0, 1
Let i(b) = b - 6. Let s be i(-12). Let g be 6/35*(s - -23). Let 10/7*r + g*r**3 - 3/7 - 1/7*r**4 - 12/7*r**2 = 0. Calculate r.
1, 3
Let j = 47 + -47. Suppose 2*m + 20*m - 44 = j. Find z, given that 0 + 4/11*z + 2/11*z**3 + 6/11*z**m = 0.
-2, -1, 0
Let j(g) be the first derivative of g**6/7 + 52*g**5/35 + 13*g**4/14 - 52*g**3/21 - 16*g**2/7 + 45. Find u such that j(u) = 0.
-8, -1, -2/3, 0, 1
Let w = -1569 - -1569. Factor 0*m**2 + w - 1/4*m**5 + 0*m**4 + 1/4*m**3 + 0*m.
-m**3*(m - 1)*(m + 1)/4
Suppose 55*q - 53*q - 9 = -5*t, -4*q = -2*t - 6. Factor 22/5*a**q - 4*a - 2/5.
2*(a - 1)*(11*a + 1)/5
Let j be ((-19266)/65)/(-26) - (2 - -9). Factor -j + 3/5*a - 1/5*a**2.
-(a - 2)*(a - 1)/5
Determine q, given that -11*q - 344*q**2 + 22*q**3 - 23*q**3 + 356*q**2 = 0.
0, 1, 11
Let t(f) be the third derivative of -1/70*f**7 + 0*f - 1/10*f**5 + 0*f**4 + 0 + 0*f**3 - 3/40*f**6 + 40*f**2. Determine m, given that t(m) = 0.
-2, -1, 0
Factor -3*b**4 + 3*b - 15*b - 3*b**4 - 30*b**2 + 18*b**4 + 3*b**3 + 24 + 3*b**5.
3*(b - 1)**2*(b + 2)**3
Let l = 67/7 - 1611/14. Let q = l + 112. Suppose 27/2*a**2 + 7/2*a**4 - q*a - 23/2*a**3 + 1 = 0. Calculate a.
2/7, 1
Factor 5*t**3 + 1/3*t**4 + 17/3*t - 11*t**2 + 0.
t*(t - 1)**2*(t + 17)/3
Let m(f) be the second derivative of 1/14*f**3 + 0*f**2 + 1/84*f**4 - 2*f + 0. Factor m(b).
b*(b + 3)/7
Let w = -1388/21 + 472/7. Factor w*y + 4/3*y**2 + 0 + 1/3*y**3.
y*(y + 2)**2/3
Let c(m) be the second derivative of m**6/2880 - m**4/192 - 10*m**3/3 + 14*m. Let d(q) be the second derivative of c(q). Factor d(z).
(z - 1)*(z + 1)/8
Let z = -2/4861 - -19466/53471. Suppose -8/11*o**2 + 12/11*o**3 - 6/11*o + z*o**4 + 4/11 - 6/11*o**5 = 0. What is o?
-1, 2/3, 1
Let t(r) = -16*r**3 + 27*r**2 - 20*r + 16. Let m(p) = -p - 4. Let i be m(-6). Let f(j) = -5*j**3 + 9*j**2 - 7*j + 5. Let y(a) = i*t(a) - 7*f(a). Factor y(x).
3*(x - 1)**3
Let b(z) be the first derivative of 2/5*z**3 - 12 - 1/10*z**4 - 2/25*z**5 + 4/5*z + z**2. Factor b(q).
-2*(q - 2)*(q + 1)**3/5
Determine b, given that 424/3*b**2 - 4/3*b**3 - 11236/3*b + 0 = 0.
0, 53
Let -56/3*i - 18 - 2/3*i**2 = 0. What is i?
-27, -1
Determine o so that -2/3*o + 4/9*o**3 + 2 + 10/9*o**4 - 28/9*o**2 + 2/9*o**5 = 0.
-3, -1, 1
Suppose -4*h - 4*r + 4 = 0, -2*r = -1 + 5. Suppose -9 = -3*k + h. Factor 2 - z**3 - 2*z**4 + 3*z - 2*z**3 + z**k - z**2.
-(z - 1)*(z + 1)**2*(z + 2)
Let o = -15706 - -15708. Suppose o - 4/3*p + 2/9*p**2 = 0. Calculate p.
3
Factor 4/3 - 14*g**2 + 40/3*g**3 - 26*g.
2*(g - 2)*(g + 1)*(20*g - 1)/3
Let h(b) = b**2 - 4*b - 4. Suppose -x + 6 = 8. Let k be h(x). Find d such that 8 - 12*d**2 + 16*d + 16*d**3 + k - 4*d**4 - 32*d = 0.
-1, 1, 2
Suppose -4*p + 5*h = 4*h - 77, 3*p + 4*h = 53. Determine g so that -p*g + 64 + 4*g**2 - 19*g + 6*g = 0.
4
Let d(x) be the second derivative of -7*x**6/10 + 39*x**5/20 + 3*x**4/4 - 17*x**3/2 + 12*x**2 + 151*x. Suppose d(y) = 0. Calculate y.
-8/7, 1
Let y = -17/27 - -139/135. Suppose -8/15 + y*k**2 + 8/15*k - 4/15*k**3 - 2/15*k**4 = 0. What is k?
-2, 1
Let s(b) be the second derivative of b**6/30 + b**5/10 - b**4/4 - 7*b + 12. Find d such that s(d) = 0.
-3, 0, 1
Let u(w) be the first derivative of -w**5/5 - 5*w**4/2 + 4*w**3/3 + 77*w**2 - 147*w - 8. What is j in u(j) = 0?
-7, 1, 3
Let q = -94929 + 662661/7. Let g = 264 + q. Factor g*u**2 + 10/7*u - 2/7*u**4 - 2/7*u**3 + 4/7.
-2*(u - 2)*(u + 1)**3/7
Let t(p) be the second derivative of p**5/70 + 4*p**4/21 - p**3/21 - 8*p**2/7 + 2*p + 37. Factor t(j).
2*(j - 1)*(j + 1)*(j + 8)/7
Let q(i) be the first derivative of 9*i**4/8 + 46*i**3 - 93*i**2/4 + 152. Factor q(b).
3*b*(b + 31)*(3*b - 1)/2
Factor -10/3*b**2 - 26/3 + 37/3*b - 1/3*b**3.
-(b - 2)*(b - 1)*(b + 13)/3
Let k be ((-4)/(-96)*-1)/(-13 + 11). Let s(v) be the third derivative of k*v**4 - 1/6*v**3 + 1/120*v**5 + 0 - 2*v**2 + 0*v. Let s(q) = 0. What is q?
-2, 1
Let b(n) = 3*n. Let f be b(4). Let k = f - 10. Factor -2 + 9*z**2 - 5*z**2 - k*z - z**3 - 2 + 3*z**3.
2*(z - 1)*(z + 1)*(z + 2)
Let b be (-2)/4 + ((-3)/(-2) - 1). Let n(a) be the third derivative of 0*a**5 + b*a**7 - 1/1512*a**8 + 0*a + 0*a**3 + 0*a**6 + 0 - a**2 + 0*a**4. Factor n(o).
-2*o**5/9
Let x(r) = -5*r**2 - 2*r - 4. Let z(f) = f**2 + 1. Let l(d) = -d + 1. Let k(v) = l(v) - 4*z(v). Let n(q) = -4*k(q) + 3*x(q). Let n(s) = 0. Calculate s.
0, 2
Let i = -3/11 - -20/33. Determine f so that 0*f**3 + 2/3*f**4 - 2/3*f**2 + 0 - 1/3*f**5 + i*f = 0.
-1, 0, 1
Let r(v) be the first derivative of v**9/6048 - v**7/1680 - 14*v**3/3 - 3. Let z(w) be the third derivative of r(w). Determine q so that z(q) = 0.
-1, 0, 1
Let w(q) be the third derivative of -q**6/960 - q**5/48 + 23*q**4/192 - q**3/4 + 6*q**2 + 13. Let w(n) = 0. What is n?
-12, 1
Let a be (-245)/(-2)*(56/20 - 2). Factor a*s**2 + 70 - 112*s - 14 - 24.
2*(7*s - 4)**2
Let q(l) be the second derivative of -5*l**4/12 + 110*l**3/3 - 215*l**2/2 + 54*l. Factor q(v).
-5*(v - 43)*(v - 1)
Let a = -30 - -33. Suppose -4*s + 8*s - 12 = -z, -2*z + a*s + 2 = 0. Determine p so that 9/2*p**3 - 9/2*p**z - 3/2*p**2 + 0 + 0*p + 3/2*p**5 = 0.
0, 1
Suppose a - 5*j - 8 = -6*j, 0 = j - 5. Let s(d) be the first derivative of 36*d - 4 + 4/3*d**a + 12*d**2. Find t such that s(t) = 0.
-3
What is g in -87/5*g**4 + 243/5*g**2 + 4 + 132/5*g - 9/5*g**5 + 53/5*g**3 = 0?
-10, -1, -1/3, 2
Let p(a) be the second derivative of 1/4*a**5 + 5/3*a**3 + 0*a**2 - 5/4*a**4 - a + 0. Factor p(f).
5*f*(f - 2)*(f - 1)
Let o be (-2)/(-6) - 8*(-2)/(-48). Let g be 70/132 + (o - 2/12). Find p, given that 2/11*p**4 + 4/11*p**3 + 2/11 - 2/11*p - 2/11*p**5 - g*p**2 = 0.
-1, 1
Let u = -68318/61 - -1120. Let q = 116/183 + u. Factor -2/9*p**4 - 2/3*p**3 - 2/9*p - q*p**2 + 0.
-2*p*(p + 1)**3/9
Let n = 76939/182685 + -1/9615. Let -8/19*u**2 - n*u**4 - 2/19*u**5 - 2/19*u - 12/19*u**3 + 0 = 0. Calculate u.
-1, 0
What is t in -21*t**3 - 16*t**4 + 6 + 10*t**4 - 6*t**2 + 6 + 24*t - 3*t**2 = 0?
-2, -1/2, 1
Let v(f) = 7*f - 2. Let z(m) = -3*m + 1. Let t(a) = 2*v(a) + 5*z(a). Let l(k) = 4*k**3 + 32*k**2 + 65*k - 1. Let u(r) = l(r) + t(r). Factor u(d).
4*d*(d + 4)**2
Let i = -1922 - -1927. Let w(s