2)/(-9) + -5). Let -z*g**b - 3*g - 9/2 = 0. Calculate g.
-3
Let n(s) be the second derivative of -s**6/1080 + s**5/120 - s**4/36 - s**3 - 14*s. Let m(u) be the second derivative of n(u). Factor m(y).
-(y - 2)*(y - 1)/3
Let j(q) be the second derivative of 32*q + 2*q**2 + 0 + 0*q**3 - 1/4*q**4 + 1/20*q**5. Solve j(h) = 0.
-1, 2
Let b = -12650 + 25303/2. Solve 49/6*g**2 + 7*g + b = 0 for g.
-3/7
Solve 32/17*m - 6/17*m**2 + 24/17 + 2/17*m**4 - 12/17*m**3 = 0.
-1, 2, 6
Let p(w) be the first derivative of 1/6*w**3 + 18 + 2*w**2 + 0*w. Let p(m) = 0. What is m?
-8, 0
Factor -5*i - 361 - 60*i - i**2 + 27*i.
-(i + 19)**2
Let u be (-4)/9 - (-9)/(5508/425). Let m(z) be the first derivative of -u*z**2 + 1/16*z**4 + 3 + 0*z + 1/12*z**3. Let m(s) = 0. What is s?
-2, 0, 1
Let v(m) be the third derivative of -m**6/960 + 7*m**5/480 + 5*m**4/96 - m**3/3 + 5*m**2 + 12. Factor v(z).
-(z - 8)*(z - 1)*(z + 2)/8
Let o(a) be the first derivative of 0*a - 14 - 1/15*a**5 + 1/9*a**3 + 1/6*a**2 - 1/12*a**4. Find v, given that o(v) = 0.
-1, 0, 1
Let p = 12 + -6. Let -4*u**2 + u**3 + 0*u**2 - 8 - 4*u + p*u**2 = 0. Calculate u.
-2, 2
Suppose -9*x + 11*x = 5*w - 20, -3*x - 17 = -w. Find u such that 1/4*u**4 + 9/4*u**3 + 27/4*u + 27/4*u**w + 0 = 0.
-3, 0
Let i(t) be the third derivative of t**7/5040 + t**6/360 + t**5/60 - 19*t**4/24 + 9*t**2. Let d(r) be the second derivative of i(r). Factor d(f).
(f + 2)**2/2
Let 2*c**2 - 192*c + 88*c - c**2 + 76*c = 0. What is c?
0, 28
Suppose -3*k = 3*z - 9, 29*z + 5 = 31*z + k. Factor 1/6*x**z + 1/6*x + 0 - 1/6*x**4 - 1/6*x**3.
-x*(x - 1)*(x + 1)**2/6
Let t(d) be the first derivative of -d**4/8 + 7*d**3/3 - 15*d**2 + 36*d - 95. Factor t(i).
-(i - 6)**2*(i - 2)/2
Let y(k) be the first derivative of 8/39*k**3 + 30 + 0*k - 6/65*k**5 + 0*k**4 + 0*k**2 + 1/39*k**6. Find l such that y(l) = 0.
-1, 0, 2
Let u(m) be the first derivative of -13 - 20*m**2 - 5/3*m**3 - 80*m. Factor u(p).
-5*(p + 4)**2
Let b(m) = 4*m**2 - 18*m + 24. Let n(r) = 4*r**2 - 17*r + 24. Suppose 0 = 5*d - 4*v - 31, -3*d - 5*v - 1 = 10. Let c(x) = d*b(x) - 2*n(x). Factor c(f).
4*(f - 3)*(f - 2)
Let u(o) = o**3 + 11*o**2 + 9*o - 7. Suppose q + q - 5 = 5*r, -5*r = 3*q + 55. Let c be u(q). Suppose 20*d - 11*d + 3 + 3*d**2 + c = 0. Calculate d.
-2, -1
Let r = 16748 + -16746. Solve -3/2*c + 1/4*c**r - 7/4 = 0 for c.
-1, 7
Let v(q) = 2*q**5 - q**4 + 5*q**3 + 5*q**2 - q - 4. Let j be 1/4 - (-13)/(-4). Let i(m) = m**5 + m**4 + m**3 - m**2. Let n(s) = j*i(s) + v(s). Factor n(p).
-(p - 1)**2*(p + 1)**2*(p + 4)
Suppose 0 = 5*n + 24 - 4. Let c be (-44)/(-28) - n - 5. Factor 0 + 10/7*l**2 - 6/7*l + c*l**3.
2*l*(l + 3)*(2*l - 1)/7
Let c be (2 + -1)*(1 - -2). Let h = c - 2. Factor -4*f**2 + 6*f**2 + 2*f - 6 + h + 1.
2*(f - 1)*(f + 2)
Solve 7/5*n**3 + 0*n + 0 - 2*n**2 - 1/5*n**4 = 0 for n.
0, 2, 5
Let n be (3/((-18)/4))/((-1)/123). Let h = n - 245/3. Factor h*o**2 + 0*o - 1/3.
(o - 1)*(o + 1)/3
Let l(r) be the second derivative of -3*r**5/20 - r**4/2 + 7*r**3/2 - 6*r**2 + 2*r - 13. Factor l(i).
-3*(i - 1)**2*(i + 4)
Let s(i) = -i**3 + 3*i**2 + 2*i - 6. Let h be s(3). Suppose h*v - 5*v = -50. Factor -9*w**2 - 6*w + 8*w**3 - w**3 - v*w**3.
-3*w*(w + 1)*(w + 2)
Let n be ((-120)/750)/(16/(-10)). Let b(g) be the first derivative of 0*g - 7 - n*g**2 + 1/15*g**3 + 1/20*g**4 - 1/25*g**5. Factor b(o).
-o*(o - 1)**2*(o + 1)/5
Find l such that 0 - 14/3*l - 1/9*l**2 = 0.
-42, 0
Let w = -529/8 + 2661/40. Find r such that 0 - 2/5*r**4 + 0*r**2 + 0*r - w*r**3 = 0.
-1, 0
Let a(n) = n**3 + 5*n**2 - 25*n - 5. Let x be a(-8). Let s be (72/108)/(8/6). Factor -s*i**x + 2 - 4*i + 5/2*i**2.
-(i - 2)**2*(i - 1)/2
Let n(l) = 6*l**4 - 12*l**3 - 2*l**2 - 8. Let c(j) = -4*j**4 + 8*j**3 + j**2 + 5. Let m(o) = -8*c(o) - 5*n(o). Factor m(k).
2*k**2*(k - 1)**2
Factor 138*t**3 + 1790*t - 1547*t + t**5 + 2*t**5 + 81 + 270*t**2 + 0*t**5 + 33*t**4.
3*(t + 1)**2*(t + 3)**3
Let y(r) = r**3 + 15*r**2 - 152*r + 49. Let w be y(-22). Let 8/15*t**4 - 8/15*t**2 + 0 - 2/5*t + 2/15*t**w + 4/15*t**3 = 0. What is t?
-3, -1, 0, 1
Let l = -1706 - -1708. Solve 8/7*j - 10/7 + 2/7*j**l = 0 for j.
-5, 1
Let c(k) be the second derivative of 48*k**5/5 - 156*k**4 + 441*k**3/2 - 243*k**2/2 + 272*k. Factor c(u).
3*(u - 9)*(8*u - 3)**2
Let o(b) be the first derivative of b**8/2940 + b**7/980 - b**6/630 + 3*b**3 - 21. Let q(j) be the third derivative of o(j). Determine s so that q(s) = 0.
-2, 0, 1/2
Suppose -7*h + 8*h = 16. Find k such that 8*k**2 + h*k**4 + 24*k**4 + 4*k**5 + 2*k**2 + 35*k**3 + 11*k**5 = 0.
-1, -2/3, 0
What is q in 34*q**3 - 80*q**2 + 80 + 2*q - 80*q + 18*q + 31*q**3 - 5*q**5 = 0?
-4, -1, 1, 2
Let r = 93/130 + -3/26. Let d(b) = -2*b**3 + 3*b**2 + 81*b + 78. Let q be d(-1). Suppose -r*j**q - 6/5*j + 9/5 = 0. What is j?
-3, 1
Find v, given that 104*v + 8/3 + 1014*v**2 = 0.
-2/39
Let m(k) be the second derivative of -19*k + 0 + 2/5*k**3 + 0*k**2 + 1/5*k**4 + 3/100*k**5. Factor m(f).
3*f*(f + 2)**2/5
Suppose 0 = -30*s - 19*s + 98. Solve -4/5*m - 2/5*m**4 + 2/5*m**s - 2/5*m**5 + 0 + 6/5*m**3 = 0 for m.
-2, -1, 0, 1
Let g(x) = 11*x**3 + 2*x**2 - 2*x + 1. Let c be g(1). Suppose -4*p + 5*q = c, 5*p - 3*q - 2 = -q. Solve k**p + 9 - 8 + 1 - 3*k = 0 for k.
1, 2
Determine a so that 22/3*a - 4/3*a**2 - 8 = 0.
3/2, 4
Find i such that i**3 + 15*i**4 + 18*i**3 - 12*i**3 + 5*i**3 + 8*i**3 - 5*i**5 = 0.
-1, 0, 4
Let s be 12*(-27)/2592 + 26/80. Suppose 658/5*q**2 - 833/5*q - 38*q**3 - s*q**5 + 23/5*q**4 + 343/5 = 0. What is q?
1, 7
Let k(a) be the first derivative of a**3/3 + 3*a**2 + 4*a - 3. Let v be k(-6). Determine g so that 5*g**v + 20*g**5 - g**4 - 2*g**5 + 0*g**4 = 0.
-2/9, 0
Determine x so that 5*x**2 + 44*x - 287*x - 232*x + 14*x + 11520 - 19*x = 0.
48
Let z be (-260)/(-650)*(-10)/(-6). Factor -8/3*y + 8/3 + z*y**2.
2*(y - 2)**2/3
Let m(z) = z**4 + 3*z**3 + 2*z**2 - 4*z - 1. Let b(f) = f**2 - f + 1. Let k(u) = 2*b(u) - 2*m(u). Factor k(a).
-2*(a - 1)*(a + 1)**2*(a + 2)
Let p(c) be the first derivative of 0*c + 110*c**3 + 75/2*c**2 + 12/5*c**5 - 35 + 123/4*c**4. Find d such that p(d) = 0.
-5, -1/4, 0
Factor -13*h**3 + 68*h - 10*h**3 + 4*h**4 + 3*h**3 - 29*h**2 - 40 + 17*h**2.
4*(h - 5)*(h - 1)**2*(h + 2)
Let k(p) be the third derivative of -p**9/68040 + p**8/15120 - p**7/11340 + 7*p**4/4 - p**2. Let j(h) be the second derivative of k(h). Factor j(z).
-2*z**2*(z - 1)**2/9
Let q(x) be the first derivative of x**3/10 - x**2/2 + 3*x/10 - 126. Solve q(f) = 0.
1/3, 3
Let d(r) = -15*r**4 - 8*r**3 + 28*r**2 - 8*r. Let o(v) = -37 - v**4 + 37. Let n(q) = d(q) - 3*o(q). Factor n(f).
-4*f*(f - 1)*(f + 2)*(3*f - 1)
Let o(v) = 4*v**4 + 6*v**3 - 6*v**2 + 4. Let w(h) = 19*h**4 + 31*h**3 - 29*h**2 + 2*h + 21. Let t(d) = 11*o(d) - 2*w(d). Factor t(n).
2*(n - 1)*(n + 1)**2*(3*n - 1)
Suppose 295 - 85 = 6*i. Let w be 52/14 - (-10)/i. Determine v so that 4*v - 6*v**2 + w - 5 - 4*v**4 + 3*v**4 + 4*v**3 = 0.
1
Let b(k) = 5*k**3 - 15*k - 2. Let l(v) = -4*v**3 - v**2 + 14*v + 1. Let d(j) = 5*b(j) + 6*l(j). What is z in d(z) = 0?
1, 4
Let w be 1 - (-2 - -5)/3. Factor -m - 3*m**2 + 4*m**2 + m**3 + w + 1 - 2*m**2.
(m - 1)**2*(m + 1)
Let u = -15 - -20. Let i = 119 - 235/2. Factor 0*h**4 + 0*h**2 + 0 + i*h**u + 0*h + 0*h**3.
3*h**5/2
Let r(x) = -x**2 + 47*x + 47. Let i(n) = -40*n - 46. Let p(s) = 6*i(s) + 4*r(s). Suppose p(t) = 0. Calculate t.
-11, -2
Let y(g) = 39*g**2 + 51*g + 66. Let j(k) = -k**2 + 8*k + 5. Let s(f) = f**2 - f. Let c(v) = -j(v) - 4*s(v). Let i(m) = -27*c(m) - 2*y(m). Factor i(l).
3*(l + 1)**2
Let g = -50 + 59. Find a, given that 2*a + a**2 + 4*a - g + 9*a**2 - 11*a**2 = 0.
3
Factor -1/3*o**3 - 7/3*o**2 + 1/3*o + 7/3.
-(o - 1)*(o + 1)*(o + 7)/3
Suppose -12 = -4*q - 2*n, 0*q + 2*n = -2*q + 2. Suppose -q*u = d - 9, -d = -3*u - 0*d + 7. Factor c**5 + 6*c + 4*c + u*c**3 + 1 - 2*c**2 - 2 - 13*c + 3*c**4.
(c - 1)*(c + 1)**4
Suppose 2 = -2*h - 2*c, -h + 2*c - c + 7 = 0. Factor 5*s**4 - 5*s**2 + 8*s**h + 7*s - 12*s - 3*s**3.
5*s*(s - 1)*(s + 1)**2
Suppose 3*a - p - 11 = 0, -4*p - 7 = 3*a + 7. Determine b, given that 0 - 19*b**3 + 9*b**a - 12 + 16*b**3 = 0.
-1, 2
Let -44*p**2 - 83*p**3 - 119 - 200*p - 89 + 85*p**3 = 0. Calculate p.
-2, 26
Let b(a) be the second derivative of 3*a**5/40 + a**4 + 5*a**3 + 12*a**2 + 54*a. Factor b(v).
3*(v + 2)**2*(v + 4)/2
Let g(u