*u - 8. Let l(x) = f*g(x) + o(x). Find m such that l(m) = 0.
2
Suppose 2*d = -4*g, -2*d = -4*g + 15 + 1. Let r = d - -10. Factor 1 + 0*v**4 + r*v**2 - v**4 + 4*v + 2*v**4 + 4*v**3.
(v + 1)**4
Factor -3/4*r**2 + 0 + 9/2*r.
-3*r*(r - 6)/4
Let w(c) be the second derivative of -4*c**7/63 + 3*c**6/25 + 2*c**5/75 - c**4/10 - 2*c**3/45 + 6*c. Find a such that w(a) = 0.
-2/5, -1/4, 0, 1
Let l(g) be the third derivative of g**8/840 + g**7/525 - g**6/300 - g**5/150 - 11*g**2. Factor l(v).
2*v**2*(v - 1)*(v + 1)**2/5
Suppose -2*i + 5*j = -17, -2*i + 0*j - 3 = -j. Let b be 12/i - -5*1. Factor -b - z - 8*z**2 - 3*z - 4*z.
-2*(2*z + 1)**2
Let g(m) = m**2 + 7*m + 6. Let l be g(-6). Factor l*j**3 + 4*j + j**2 - 4*j + j**3.
j**2*(j + 1)
Suppose -16 = -3*t + b, b - 4 = -2*t - 0*b. Factor 40*p**3 - 4*p**2 + 13*p**2 - 34*p**3 - 3*p**t.
-3*p**2*(p - 3)*(p + 1)
Let t(a) be the third derivative of -a**6/80 - 3*a**5/10 - 3*a**4 - 16*a**3 - 17*a**2. Find l such that t(l) = 0.
-4
Let j(u) be the first derivative of u**5/40 - u**4/8 + u**3/4 - u**2/4 + 4*u + 2. Let y(k) be the first derivative of j(k). Factor y(d).
(d - 1)**3/2
Suppose 9 = -2*j + 1, -5*s = -5*j - 20. What is a in -33/7*a**2 + 33/7*a**4 + s - 45/7*a**5 + 6/7*a + 39/7*a**3 = 0?
-1, 0, 1/3, 2/5, 1
Let l(a) = -32*a**5 + 25*a**4 + 17*a**3 + 5*a - 5. Let k(w) = 80*w**5 - 62*w**4 - 42*w**3 - 12*w + 12. Let q(i) = -5*k(i) - 12*l(i). Factor q(y).
-2*y**3*(y - 1)*(8*y + 3)
Solve 3/4 - 1/4*k**2 - 1/2*k = 0.
-3, 1
Let t(i) be the second derivative of i**4/12 - 4*i**3/3 + 9*i**2/2 + 2*i. Let v be t(7). Factor m**v + 3*m**2 + 1 + 0*m - 2*m - 3*m**2.
(m - 1)**2
Let r = 938/9 - 104. Find o such that -2/9*o - 2/9 + 2/9*o**2 + r*o**3 = 0.
-1, 1
Let b be (-9)/(-1) - (-2 + 5). Let w be (-4)/b*3/(-4). Find i such that 1/2*i + 1/2*i**4 + 1 - w*i**3 - 3/2*i**2 = 0.
-1, 1, 2
Let z = -78 + 123. Suppose z = 5*o + 5*n, 2*o + n - 22 = -2*n. Determine q so that 2/3*q**3 + 0*q**2 - 7/3*q**o + 0 + 0*q + 5/3*q**4 = 0.
-2/7, 0, 1
Let o = 64 + -58. Let y(n) be the second derivative of -1/84*n**7 + 0*n**4 - 3*n + 0 + 0*n**o - 1/12*n**3 + 1/20*n**5 + 0*n**2. Let y(u) = 0. What is u?
-1, 0, 1
Suppose 5*w - 11 = 9. Let v = -1 + w. What is t in 2*t**2 - t**5 - 4*t - 3*t**4 + 10*t**v + t**4 - 5*t**5 = 0?
-1, 0, 2/3, 1
Let j = 1904 - 639743/336. Let l(q) be the third derivative of -1/24*q**4 + 0*q**7 + 0*q**3 + 0 + 1/60*q**6 - j*q**8 + 0*q**5 - 3*q**2 + 0*q. Factor l(t).
-t*(t - 1)**2*(t + 1)**2
Let l be 19/20 - 3/(-12). Solve l*d**3 - 2/5 + 2*d - 14/5*d**2 = 0 for d.
1/3, 1
Let k(x) = -x**3 - 12*x**2 - 11*x. Let w be k(-11). Let l(c) be the second derivative of 0*c**2 + 1/12*c**3 + w - 2*c - 1/40*c**5 + 0*c**4. Factor l(u).
-u*(u - 1)*(u + 1)/2
Let c = 108 + -322/3. Factor 1/3*i**3 + 1/3*i**4 - i**2 + c - 1/3*i.
(i - 1)**2*(i + 1)*(i + 2)/3
Let p(d) be the third derivative of 8*d**6/15 - 8*d**5/15 + d**4/6 - 9*d**2. Find f such that p(f) = 0.
0, 1/4
Let z be 7 - (-1)/2*-6. Let 0*p**z + 7*p**5 - p**5 + 3*p**5 - 3*p**4 = 0. Calculate p.
0, 1/3
Let a = 34728760/177 - 196207. Let x = a + -1/59. Factor 2/3*k**2 - x*k - 2/3 + 2/3*k**3.
2*(k - 1)*(k + 1)**2/3
Let f be (-2)/(-13) - 67/13. Let d(r) = 6*r**3 - 2*r**2 + r + 5. Let k(s) = 3*s**3 + 6 + 2*s - 2*s**2 - s + 4*s**3. Let t(l) = f*k(l) + 6*d(l). Factor t(v).
v*(v - 1)**2
Suppose -69*a = -62*a. Let d(c) be the first derivative of a*c**2 + 1/6*c**3 + 0*c - 2 + 0*c**4 - 1/10*c**5. Solve d(r) = 0.
-1, 0, 1
Solve -6/5*a**2 + 0 - 2/5*a - 2/5*a**4 - 6/5*a**3 = 0 for a.
-1, 0
Let a(k) be the third derivative of -k**7/90 - k**6/180 + 7*k**5/45 + k**4/9 + 18*k**2. Factor a(c).
-c*(c - 2)*(c + 2)*(7*c + 2)/3
Let u = 6 + -4. Solve 4*k**u - 9/4*k + 3/2*k**4 - 7/2*k**3 + 1/2 - 1/4*k**5 = 0.
1, 2
Let w(y) be the second derivative of 7*y**6/180 + y**5/45 - 3*y**2/2 + 2*y. Let n(k) be the first derivative of w(k). Factor n(g).
2*g**2*(7*g + 2)/3
Let w be 3*4/(-12) - -4. Let c(i) be the first derivative of 0*i**4 + 0*i + 12/5*i**5 + 3 - 3/2*i**2 - 3*i**w. Factor c(z).
3*z*(z - 1)*(2*z + 1)**2
Let i = 27 - 27. Let u(s) be the first derivative of 1/21*s**6 + 0*s**2 + 0*s**3 - 2/35*s**5 + 0*s**4 + i*s + 4. Factor u(b).
2*b**4*(b - 1)/7
Let k(o) be the second derivative of o**6/60 - o**4/4 - 2*o**3/3 - 3*o**2/4 - 26*o. Factor k(h).
(h - 3)*(h + 1)**3/2
Let x(j) be the first derivative of j**5/10 - j**4/8 - j**3/6 + j**2/4 + 3. Solve x(h) = 0 for h.
-1, 0, 1
Let p = -14 + 10. Let r be (-8*p/20)/2. Find k such that 2/5*k**2 + r - 6/5*k = 0.
1, 2
Let n be -5 - -7 - (0 - 1). Let q = n - 1. What is u in 0 + 1/4*u**q + 1/4*u**3 - 1/2*u = 0?
-2, 0, 1
Let g(u) be the second derivative of -u**6/90 - u**5/30 + u**3/9 + u**2/6 + 5*u. Solve g(p) = 0 for p.
-1, 1
Let z be (-2*4)/(-14 - -12). Let m be (-6)/z*(-42)/18. Factor m*o - 1 - 3/2*o**2.
-(o - 2)*(3*o - 1)/2
Factor -2/5*m**2 + 0 - 2/5*m**4 - 4/5*m**3 + 0*m.
-2*m**2*(m + 1)**2/5
Let m(b) be the third derivative of -b**7/105 - b**6/60 + b**5/15 - 9*b**2 + b. Solve m(q) = 0.
-2, 0, 1
Let m(a) be the third derivative of -a**8/504 - 2*a**7/315 + a**6/60 + 40*a**2. Factor m(n).
-2*n**3*(n - 1)*(n + 3)/3
Let x(f) be the second derivative of -64*f**7/63 - 16*f**6/45 + 82*f**5/15 - 107*f**4/18 + 25*f**3/9 - 2*f**2/3 - 24*f. Determine h, given that x(h) = 0.
-2, 1/4, 1
Let z(s) be the third derivative of s**6/480 - s**5/120 - s**4/32 - 6*s**2. Factor z(a).
a*(a - 3)*(a + 1)/4
Let h(t) = -7*t**2. Let y be h(-2). Let v = -23 - y. Solve 4/3*x**2 - 1/3*x - 2/3*x**3 - 4/3*x**4 + x**v + 0 = 0 for x.
-1, 0, 1/3, 1
Let -1 + 1 + 6*w + 21*w**2 = 0. What is w?
-2/7, 0
Suppose -7 = 2*j - 15. Solve -1/2*f**j + 0*f**2 - f**3 + f + 1/2 = 0.
-1, 1
Suppose -2*q - 6*q + 56 = 0. Let r(s) be the third derivative of 0*s**3 - s**2 + 0*s + 1/84*s**q - 1/24*s**4 - 1/20*s**6 + 0 + 3/40*s**5. Factor r(u).
u*(u - 1)**2*(5*u - 2)/2
Let w(l) be the third derivative of l**8/1680 + 4*l**7/525 + 7*l**6/200 + 3*l**5/50 + 9*l**2. Let w(n) = 0. What is n?
-3, -2, 0
Let 2*i + 10*i - 8 - 4*i**3 + 32*i**2 + 16*i**3 = 0. What is i?
-2, -1, 1/3
Let c(z) be the first derivative of -3*z**5/5 - 9*z**4/4 - 3*z**3 - 3*z**2/2 + 1. Determine x so that c(x) = 0.
-1, 0
Let j = -2 + 7. Let v(x) = -x**5 - x + 1. Let r(u) = -8*u**4 + 7*u - u**3 + 3*u - 5 + u**5 + 1 + 7*u**2. Let l(w) = j*v(w) + r(w). Suppose l(m) = 0. What is m?
-1, -1/2, 1
Suppose u + 7 = 5*g, -4*u = 2*g - 7*u + 5. Factor 1/3*n**g + 1 - 4/3*n.
(n - 3)*(n - 1)/3
Factor -4/5 + 4/5*y + 1/5*y**2 - 1/5*y**3.
-(y - 2)*(y - 1)*(y + 2)/5
Let a(j) be the second derivative of 0 + 1/20*j**4 + 1/10*j**3 + j + 0*j**2. Factor a(m).
3*m*(m + 1)/5
Let m(n) be the third derivative of n**8/1008 - n**7/315 - n**6/18 - 2*n**5/15 + n**2 - 9*n. Determine g, given that m(g) = 0.
-2, 0, 6
Suppose q = 5*q. Suppose q = 4*o + 4*m - 12, -m = -3*o + 2 - 5. Determine b, given that o + 2/5*b + 2/5*b**3 + 4/5*b**2 = 0.
-1, 0
Suppose -4*z = 2*p - 16, 5*p - 5*z + 0*z + 20 = 0. Suppose -3*k + p*k + 12 = 0. Factor -7*m**3 + 2*m**2 + 4*m**k + 3*m**3 - 2*m**4.
2*m**2*(m - 1)**2
Let m(b) = b**4 - 5*b**3 + b**2 + 5*b - 6. Let a(p) = -3*p**4 + 14*p**3 - 2*p**2 - 15*p + 17. Let u(q) = 4*a(q) + 11*m(q). What is r in u(r) = 0?
-2, 1
Let t(v) be the second derivative of -v**10/136080 - v**9/17010 - v**8/7560 + v**4/6 - v. Let d(n) be the third derivative of t(n). Find m, given that d(m) = 0.
-2, 0
Let p(k) be the second derivative of k**4/54 + 4*k**3/27 + 4*k**2/9 - 3*k. Find u, given that p(u) = 0.
-2
Let f(u) be the first derivative of -u**4/18 - u**3/9 + 3*u + 4. Let y(n) be the first derivative of f(n). Factor y(j).
-2*j*(j + 1)/3
Let l(m) be the second derivative of -m**6/255 + m**5/170 - 19*m. Factor l(k).
-2*k**3*(k - 1)/17
Let l(x) be the third derivative of 1/420*x**7 + 0*x**5 - 1/120*x**6 - 2*x**2 + 0*x**3 + 0 + 0*x + 0*x**4. Factor l(v).
v**3*(v - 2)/2
Determine q, given that 2 + 4*q**2 - 6*q**2 - 6*q**2 + 4*q - 4*q**3 + 6 = 0.
-2, -1, 1
Solve 130*w**2 - 3*w - 134*w**2 + 7*w = 0.
0, 1
Let v = -17 - -17. Let d(w) be the third derivative of v + 0*w**3 + 2*w**2 + 1/180*w**5 + 1/72*w**4 + 0*w. Solve d(q) = 0.
-1, 0
Let f = 14 - 8. Determine l, given that f*l - 3*l**2 - 9*l + 0*l = 0.
-1, 0
Factor 1/5*t**4 - 18/5 + 7/5*t**3 + 13/5*t**2 - 3/5*t.
(t - 1)*(t + 2)*(t + 3)**2/5
Let h be 7/2 - 1/(-2). Let