 - 5. Let a(m) = m**2 + m - 4. Suppose 4*o - 10 = 3*p, -5*p + 6 = 3*o - 4*o. Let l(b) = o*x(b) - 6*a(b). Determine u so that l(u) = 0.
-2, 1
Let u(d) = 4*d + 116. Let a be u(-28). Suppose a*j + 42 = 10*j. Factor j*b**2 + 4*b + 4/7.
(7*b + 2)**2/7
Let z be (-33)/(-42) + (-12)/42. Let t(c) = c**2 - 2*c - 5. Let n be t(4). Factor -1 - 2*l**2 - z*l**n - 5/2*l.
-(l + 1)**2*(l + 2)/2
Let p = -14869 - -74351/5. Determine b so that 21/5*b - 12/5 - p*b**2 - 3/5*b**3 = 0.
-4, 1
Let a(w) = -w**2 - w - 1. Suppose -2*c = 3*c - 15. Let f(o) = 4*o - 11 - 5*o - o**c + 0*o + 2 - 7*o**2. Let b(u) = 6*a(u) - f(u). Let b(p) = 0. Calculate p.
-3, 1
What is u in 14*u**3 + 4/3*u + 0 + 2/3*u**4 - 14/3*u**5 - 34/3*u**2 = 0?
-2, 0, 1/7, 1
Let f be (30/(-60))/(6/100) + 0 + 9. Factor 10/9*j**3 - 2/9*j**4 - 14/9*j**2 + 0 + f*j.
-2*j*(j - 3)*(j - 1)**2/9
Suppose 0 = -2*o - 8, -13*i + 8 = -17*i - 4*o. Let y(l) be the first derivative of 3/5*l**i + 3/25*l**5 - 3/10*l**4 - 1/5*l**3 - 6 + 0*l. Factor y(v).
3*v*(v - 2)*(v - 1)*(v + 1)/5
Suppose -9*p + 5*p - 16 = 4*i, -2*p + 5*i = -20. Let g(k) be the first derivative of -3 - 1/2*k**3 + 0*k + p*k**2. What is o in g(o) = 0?
0
Let f(l) be the first derivative of 1/6*l**4 + 0*l - 1/15*l**5 + 0*l**2 + 1/3*l**3 - 13. Factor f(c).
-c**2*(c - 3)*(c + 1)/3
Let u(n) be the third derivative of n**5/30 - 73*n**4/12 - 160*n**2 + 2*n. Let u(k) = 0. Calculate k.
0, 73
Let n be ((-468)/(-195))/(3/5). Let i(t) be the second derivative of -t + 1/6*t**3 + 1/20*t**5 + 0*t**2 + 0 - 1/6*t**n. Solve i(z) = 0.
0, 1
Let h(x) = -x - 4. Let f be h(-6). Find l, given that f*l + 2*l**2 + 72 - 72 = 0.
-1, 0
Let k(d) be the first derivative of -d**4/38 - 32*d**3/57 + 4*d**2 - 160*d/19 + 560. Factor k(j).
-2*(j - 2)**2*(j + 20)/19
Suppose -8*g - 13*g - 756 = 0. Let w be g/27 - (1 - 3). Factor -w*z**2 - 8/3*z - 8/3.
-2*(z + 2)**2/3
Let i(q) be the second derivative of 0 + 1/36*q**3 + 1/72*q**4 - 1/12*q**2 - 17*q - 1/120*q**5. Find p, given that i(p) = 0.
-1, 1
Suppose 4*c + 5 = -5*s, 87*c = -5*s + 88*c + 20. Let b(h) be the second derivative of 1/12*h**4 - 1/6*h**s + 0 - h**2 + 3*h. Find g such that b(g) = 0.
-1, 2
Let f(n) be the third derivative of -n**8/504 - 2*n**7/105 - n**6/20 - 2*n**5/45 + 400*n**2. Factor f(y).
-2*y**2*(y + 1)**2*(y + 4)/3
Let b(p) be the third derivative of p**7/1155 + p**6/55 + 17*p**5/110 + 2*p**4/3 + 16*p**3/11 + 83*p**2 - 2*p. Suppose b(i) = 0. What is i?
-4, -3, -1
Factor -26/9 + 8/3*i + 2/9*i**2.
2*(i - 1)*(i + 13)/9
Factor 2/3*v**3 + 0 - 14/3*v**2 + 8*v.
2*v*(v - 4)*(v - 3)/3
Let s = 3167 - 3128. Factor 6 + 135/2*m**2 - s*m - 375/4*m**4 + 75/4*m**3.
-3*(m + 1)*(5*m - 2)**3/4
Solve 2/9*m**2 + 4/9 + 2/3*m = 0 for m.
-2, -1
Solve -1/9*i**3 + 5/3*i + 0 - 2/9*i**2 = 0.
-5, 0, 3
Let u(b) = 513*b**2 + 387*b + 72. Let s(g) = 515*g**2 + 386*g + 71. Let n(d) = -3*s(d) + 4*u(d). Solve n(q) = 0 for q.
-5/13
Suppose 4 = 4*j - 4. Suppose 0 = 2*c - 6*c + 8. What is u in 11*u**2 + 6*u**3 - j*u**5 + 9*u**4 - 29*u**c + 2*u**5 - 3*u - 3*u**5 + 9 = 0?
-1, 1, 3
Let x(v) be the first derivative of v**3/24 + 5*v**2/8 + 25*v/8 + 571. Factor x(j).
(j + 5)**2/8
Suppose 66*c - 153 = 45. Let f(g) be the first derivative of 1/6*g**c - 10 + 0*g + 3/4*g**2. Factor f(a).
a*(a + 3)/2
Let x(b) be the second derivative of 1/84*b**7 + 0*b**2 + 1/10*b**6 + 0 + 1/3*b**3 + 9*b + 13/40*b**5 + 1/2*b**4. Factor x(y).
y*(y + 1)**2*(y + 2)**2/2
Factor 320/9*r + 256/9 + 68/9*r**2 + 4/9*r**3.
4*(r + 1)*(r + 8)**2/9
Let q be (-234)/(-7) + (-3)/(-7)*-1. Suppose l**4 - q*l - 8*l**3 + 11*l**3 - l**2 + 30*l = 0. Calculate l.
-3, -1, 0, 1
Let l(u) = -4*u**3 - 5*u**2 + 43*u + 64. Let y(p) = -2*p**3 - 2*p**2 + 22*p + 32. Let r(o) = 2*l(o) - 5*y(o). Factor r(h).
2*(h - 4)*(h + 2)**2
Let y(r) = 77*r**2 + r - 1. Let m be y(1). Let c = m + -75. Factor 0*x - 4/5*x**4 + 0 + 2/5*x**5 + 2/5*x**3 + 0*x**c.
2*x**3*(x - 1)**2/5
Suppose 0 = -2*b - 5*q - 3, -b = 4*b - q - 6. Suppose -m = b - 5. Factor 8*h**4 + h - 4*h**2 + 9*h - 4 - 2*h**5 - 4*h**3 - m*h**3.
-2*(h - 2)*(h - 1)**3*(h + 1)
Let z be (-513)/(-76) - (-3 + (4 - 1) + 6). Factor 9/4 - 3/2*y - z*y**2.
-3*(y - 1)*(y + 3)/4
Let o = 1730 + -1728. Let i(k) be the second derivative of 2*k**o - 4*k - 1/3*k**3 + 0 - 1/6*k**4. Factor i(z).
-2*(z - 1)*(z + 2)
Suppose -a = h - 10, -4*h + 36 = -212*a + 215*a. Find x such that 9/5*x + 3/5*x**2 - h = 0.
-5, 2
Let p = 176 - 179. Let h be (-1)/(p/18)*(-6)/(-14). Solve 6/7*f**2 - 150/7*f**4 - 130/7*f**3 + 0 + h*f = 0.
-3/5, 0, 1/3
Let p(o) be the third derivative of 0*o**6 + 2/255*o**5 + 0*o + 0*o**3 + 0*o**4 + 7*o**2 - 1/1785*o**7 + 0. Determine y, given that p(y) = 0.
-2, 0, 2
Let v(a) be the third derivative of -a**8/840 - a**7/15 - 49*a**6/30 - 343*a**5/15 - 2401*a**4/12 - 16807*a**3/15 - a**2 + 3*a. Factor v(w).
-2*(w + 7)**5/5
Let c(j) be the first derivative of -j**6/480 + j**5/48 - j**4/24 - j**2 + 19. Let z(w) be the second derivative of c(w). Factor z(b).
-b*(b - 4)*(b - 1)/4
Suppose 0 = 3405*m - 3382*m. Factor -3/4*g**2 - 1/4*g**3 + 0 + m*g.
-g**2*(g + 3)/4
Solve -4/5*q + 4/5 - 3*q**2 + q**4 - 2/5*q**3 = 0 for q.
-1, 2/5, 2
Suppose -3*y - 316 + 328 = -2*r, -12 = -3*y - 4*r. Factor 2/3*o**5 + 0 - 4*o**y + 0*o**2 + 0*o + 6*o**3.
2*o**3*(o - 3)**2/3
Factor -3/4*m**3 + 117*m**2 - 6084*m + 105456.
-3*(m - 52)**3/4
Factor -15/7*r - 6/7*r**2 - 6/7.
-3*(r + 2)*(2*r + 1)/7
Determine a so that -32/11 - 12/11*a - 2/11*a**3 + 18/11*a**2 = 0.
-1, 2, 8
Let s(j) = -j**5 - 8*j**4 + 25*j**3 - 6*j**2 + 2*j + 4. Let t(b) = -4*b**5 - 31*b**4 + 101*b**3 - 21*b**2 + 9*b + 18. Let k(p) = -18*s(p) + 4*t(p). Factor k(a).
2*a**2*(a - 1)**2*(a + 12)
Let h = 2585 + -5167/2. Solve 0*f - 1/2*f**5 + 0 - 3/2*f**3 - 1/2*f**2 - h*f**4 = 0.
-1, 0
Let a(h) be the first derivative of h**4/16 + 5*h**3/12 - 11*h**2/4 - 14*h + 744. Factor a(r).
(r - 4)*(r + 2)*(r + 7)/4
Find f such that 72/7*f - 4/7*f**2 + 76/7 = 0.
-1, 19
Let k be 352/360 + 48/(-27) + 2. Find z such that -12/5*z**2 - 21/5*z + k = 0.
-2, 1/4
Let t = 9 - 21. Let z be (6/t)/(1/(-4)). Suppose -47*s**2 - 51*s**2 - 81*s**3 - 45*s - 3*s**3 - 6 - 10*s**z = 0. What is s?
-1/2, -2/7
Let 3 + 1/3*o**2 + 2*o = 0. What is o?
-3
Let w(v) = v**4 + v**3 - v**2 - 1. Let j(g) = g**4 + 31*g**3 + 30*g**2 - 52*g - 10. Let b(p) = -j(p) - 6*w(p). Find l such that b(l) = 0.
-4, -2, -2/7, 1
Let y(l) be the third derivative of 0*l - l**4 + 41*l**2 + 0 + 16*l**3 + 1/40*l**5. What is m in y(m) = 0?
8
Suppose -m + 350 = -4*w, -2*w - 172 = -m - m. Let k = w + 88. Let -2/17*f**3 + 2/17*f**5 + 2/17*f**2 - 2/17*f**4 + k*f + 0 = 0. Calculate f.
-1, 0, 1
Let q be -5 + 57/3 + -5 + 1. Suppose 0 = 12*v - q - 26. Factor 1/5*k**v + 7/5*k - k**2 - 3/5.
(k - 3)*(k - 1)**2/5
Let x = 8003/4 + -2012. Let f = x - -143/12. What is m in -2*m - f*m**3 - 10/3*m**2 + 6 = 0?
-3, 1
Factor 0 + 58/3*k + 56*k**3 - 2/3*k**5 + 172/3*k**2 + 52/3*k**4.
-2*k*(k - 29)*(k + 1)**3/3
Let h(k) = 0 + 2*k**2 - 3*k**2 - k - k**3 + 0. Let s(n) = -8 - 54*n + 17*n - 23*n**2 + 11*n**3 + 2*n**3. Let j(p) = -5*h(p) + s(p). Factor j(g).
2*(g - 2)*(3*g + 1)*(3*g + 2)
Let m be (-125)/15*-3 + 2. Factor 13*a**4 - 2*a**3 - m*a**4 + 2*a - 2*a**2 + 16*a**4.
2*a*(a - 1)**2*(a + 1)
Let f(z) be the third derivative of z**8/1176 - z**7/147 - z**6/20 - 23*z**5/210 - 2*z**4/21 + 236*z**2. Let f(w) = 0. Calculate w.
-1, 0, 8
Let p(f) = f**3 + 3*f**2 - f - 1. Let s be p(-1). Let v(y) be the first derivative of 2/9*y + 0*y**s - 2/27*y**3 + 7. Factor v(z).
-2*(z - 1)*(z + 1)/9
Suppose -5*v = -40 + 15. Suppose v*h = -3 + 13. Factor 2*y**4 + 3*y**2 - 3*y**2 + 4*y - 2*y - 2*y**3 - h*y**2.
2*y*(y - 1)**2*(y + 1)
Let m(c) be the first derivative of c**6/24 + c**5/5 + c**4/16 - c**3/2 - 398. Solve m(o) = 0.
-3, -2, 0, 1
Let k(o) be the first derivative of 3/25*o**5 - 14 + 6/5*o - 3/20*o**4 - 3/5*o**3 + 3/10*o**2. Factor k(c).
3*(c - 2)*(c - 1)*(c + 1)**2/5
Let v = 2601 - 2596. Let -6*i**3 - 10/3*i**4 + 0 - 4/3*i - 14/3*i**2 - 2/3*i**v = 0. What is i?
-2, -1, 0
Let u = 1/63 - -4/1071. Let t(f) be the first derivative of u*f**6 + 12/85*f**5 - 12/17*f**2 + 11/34*f**4 - 16/17*f + 1 + 4/51*f**3. Solve t(y) = 0.
-2, -1, 1
Let t(f) be the first derivative of f**3/12 + 13*f**2/4 + 33. Determine i, given that t(i) = 0.
-26, 0
Let q = 116 + -104. Suppose m + q = 4*