 1)**3
Let x(f) be the first derivative of f**6/3 + 6*f**5/5 - f**4/2 - 14*f**3/3 + 8*f + 137. Determine r so that x(r) = 0.
-2, -1, 1
Let s be -6 + 3 - 31409/(-91). Let d = s + -342. Suppose d*g**2 - 2/13*g**3 + 0*g + 0 = 0. What is g?
0, 1
Factor 1088/19*j - 147968/19 - 2/19*j**2.
-2*(j - 272)**2/19
Let z(n) be the first derivative of -2*n**5/5 + 10*n**3/3 - 8*n - 91. Suppose z(o) = 0. What is o?
-2, -1, 1, 2
Let w(a) be the third derivative of 0*a + 1/6*a**4 - 1/168*a**8 - 1/6*a**5 + 1/20*a**6 + 1/105*a**7 + 0*a**3 + 6*a**2 + 0. Let w(f) = 0. Calculate f.
-2, 0, 1
Let w be (-24)/(-10) - (-840)/2800. Factor 27/5*s**4 + s**2 + 18/5*s**3 + 0 + w*s**5 + 1/10*s.
s*(s + 1)*(3*s + 1)**3/10
Suppose -7 = -2*y - t, -2*y = 3*y + 2*t - 16. Factor c**y + c**2 - 5 + 2 + 6*c - 5*c**2.
-3*(c - 1)**2
Let o(z) = 8*z**3 + 48*z**2 + 128*z - 4. Let a(b) = -7*b**3 - 48*b**2 - 128*b + 3. Let s(y) = -4*a(y) - 3*o(y). Factor s(m).
4*m*(m + 4)*(m + 8)
Let w(f) = 5*f**2 + 6*f - 2. Suppose -29 = -4*p + a, 3*a = -p + 4*p - 33. Let i(r) = -5*r**2 - 6*r + 1. Let z(k) = p*i(k) + 4*w(k). What is g in z(g) = 0?
-1, -1/5
Let f(p) = p**3 - 9*p**2 - 4*p + 6. Let n = -12 + 6. Let u(c) = -c**3 + 8*c**2 + 3*c - 5. Let q(l) = n*u(l) - 5*f(l). Let q(z) = 0. Calculate z.
0, 1, 2
Factor 23*m**3 - 28*m**3 - 275*m - 65*m**2 + 0*m**2 - 375.
-5*(m + 3)*(m + 5)**2
Let m(h) be the third derivative of h**6/120 - h**5/60 - h**4/12 + 57*h**2. Factor m(a).
a*(a - 2)*(a + 1)
Let o(x) = 0*x - 1 + 0 - 2*x - 1. Let d be o(-3). Suppose -2*k**4 + 5*k**3 - k**5 + 0*k**d - 4 - 13*k + 5*k + 3*k**4 - k**2 = 0. What is k?
-1, 2
Let c = 51 + -55. Let j be -3*c/(-72)*3/(-2). Factor 1/2*a - 1/4*a**2 - j*a**3 + 0.
-a*(a - 1)*(a + 2)/4
Let y(j) be the first derivative of 0*j + 11*j**5 + 0*j**2 + 5*j**4 - 5/3*j**3 + 5*j**6 + 12. Solve y(x) = 0.
-1, 0, 1/6
Factor -2/13*a**2 - 16/13*a + 0.
-2*a*(a + 8)/13
Suppose 20*m - 10*m = 40. Let i be m - (2/(-5) + 261/90). Solve 0*o**2 + i*o**3 + 0*o + 3/2*o**5 + 0 + 3*o**4 = 0 for o.
-1, 0
Let k be (-6)/(-5)*5 - 3. What is j in 1102 + 60*j**2 + 300*j - 602 + j**3 + 3*j**k = 0?
-5
Let p(b) be the second derivative of 0*b**2 - 1/40*b**5 - 4/3*b**3 - b - 1/4*b**4 + 1/120*b**6 + 0. Let u(h) be the second derivative of p(h). Solve u(i) = 0.
-1, 2
Let f(n) be the third derivative of -n**8/3360 + n**7/700 + n**6/300 - 2*n**5/75 + 4*n**3/15 - 703*n**2. Factor f(c).
-(c - 2)**3*(c + 1)*(c + 2)/10
Solve 21/4*g**2 + 3/2*g - 33/4*g**3 + 27/4*g**5 - 21/4*g**4 + 0 = 0.
-1, -2/9, 0, 1
Let r(f) be the first derivative of f**6/120 + f**5/10 + 3*f**4/8 + 6*f**3 - 33. Let c(n) be the third derivative of r(n). Factor c(g).
3*(g + 1)*(g + 3)
Factor -25/3*h**3 - 9 - 33*h - 35*h**2.
-(h + 3)*(5*h + 3)**2/3
Let a(d) = 4 + 21 - d - d + 7. Let p be a(16). Factor 0*c + 16/3*c**4 + p - 20/3*c**3 - 4/3*c**5 + 8/3*c**2.
-4*c**2*(c - 2)*(c - 1)**2/3
What is b in 0 + 0*b + 0*b**2 - 4/5*b**3 - 2*b**4 = 0?
-2/5, 0
Factor -99*m**3 - 11*m - 220*m**2 + 29*m**3 - 189*m + 0*m**4 - 5*m**4.
-5*m*(m + 2)**2*(m + 10)
Let z(u) be the third derivative of u**4/24 + u**3 + 3*u**2. Let n be z(-6). Factor n*a - a - 2*a + 6 - 3*a**2.
-3*(a - 1)*(a + 2)
Let q(k) = k**3 + k + 1. Let o = -19 - -34. Suppose 0 = 3*m + o, -5*v = -m - m + 5. Let d(c) = -c**3 - 8*c**2 + 7*c + 11. Let t(g) = v*q(g) + d(g). Factor t(y).
-4*(y - 1)*(y + 1)*(y + 2)
Let p(s) be the first derivative of -s**6/2 + 3*s**5/10 + 27*s**4/8 - 2*s**3 - 3*s**2 - 133. Find f, given that p(f) = 0.
-2, -1/2, 0, 1, 2
Let t = -84 - -89. Let j(c) be the second derivative of 0 + c + 0*c**3 + 0*c**t + 0*c**2 + 1/40*c**6 - 1/16*c**4. Find n, given that j(n) = 0.
-1, 0, 1
Suppose 392 = 2*r + 2*d, -9*r + 5*r + 782 = 3*d. Suppose 193*l - r*l = -5. Solve 0 - 2*z**2 - 10/7*z**4 + 2/7*z**l + 4/7*z + 18/7*z**3 = 0.
0, 1, 2
Let l(i) be the first derivative of -i**6/7 + 2*i**5/35 + 9*i**4/14 + 2*i**3/7 - 2*i**2/7 - 170. What is r in l(r) = 0?
-1, 0, 1/3, 2
Let k(g) = -36*g**3 - 46*g**2 - 18*g - 20. Let i(b) = 2*b**3 + b**2 + b + 2. Let m(x) = 10*i(x) + k(x). Factor m(s).
-4*s*(s + 2)*(4*s + 1)
Find y, given that 4*y**2 - 286*y**3 - 8*y**2 + 36*y**2 + 288*y**3 + 4*y**2 + 34*y = 0.
-17, -1, 0
Let -480/7*a**3 - 40/7 - 348/7*a - 124*a**2 - 64/7*a**4 = 0. Calculate a.
-5, -2, -1/4
Let x be 32/14 + (-4)/14. Let b = -16605 + 149449/9. Factor 11/9*z + 1/3 - b*z**x.
-(z - 3)*(4*z + 1)/9
Factor 2/5*v**2 + 0*v + 0 - 1/5*v**4 - 1/5*v**3.
-v**2*(v - 1)*(v + 2)/5
Suppose r = -3*g - 2 - 23, 10 = r - 4*g. Let n be (2 - (-8 - r))*(-1)/1. Let 1/2*d**2 + 1/2*d + n = 0. Calculate d.
-1, 0
Suppose -3*u + 7*u - 20 = 0. Solve 11*g**5 + 4*g**4 + 0*g**3 + 0*g**3 - 9*g**u = 0.
-2, 0
Let y be ((-6812)/(-672) - 1) + 2/3. Let p = y + -75/8. Factor 0 - 3/7*s**4 + 3/7*s**3 + 3/7*s**2 - p*s.
-3*s*(s - 1)**2*(s + 1)/7
Let a(f) be the second derivative of -f**4/60 - 8*f**3/5 - 288*f**2/5 - f + 19. Factor a(n).
-(n + 24)**2/5
Let z be 8/2 - (5 + -3). Let a(h) be the first derivative of 3 + 8/7*h + 4/7*h**z + 2/21*h**3. What is y in a(y) = 0?
-2
Suppose -5*y - 11 = 3*f - f, 18 = 3*f - 4*y. Suppose 5*h = 4*j + 6, 2*h - f*j = -h + 4. Factor 1 - 3/2*u**3 - 1/2*u**4 + 3/2*u - 1/2*u**h.
-(u - 1)*(u + 1)**2*(u + 2)/2
Let d(p) be the third derivative of p**5/60 + p**4/2 + 11*p**3/6 - 318*p**2. Factor d(r).
(r + 1)*(r + 11)
Factor 5/8*c**2 + 0 - 1/8*c**3 + 0*c.
-c**2*(c - 5)/8
Let l(p) be the third derivative of -13*p**2 - 5/4*p**5 + 15/8*p**4 + 11/24*p**6 - 1/14*p**7 - 5/3*p**3 + 0*p + 0. Factor l(y).
-5*(y - 1)**3*(3*y - 2)
Determine w so that 12*w**2 + 7/3*w**3 + 0 - w**4 + 20/3*w = 0.
-2, -2/3, 0, 5
Let d(o) be the third derivative of -o**6/30 - 23*o**5/30 - 13*o**4/3 + 32*o**3/3 - 4*o**2 + 41*o. Find k such that d(k) = 0.
-8, -4, 1/2
Let q(z) = 6*z**2 + 27*z - 33. Let c(j) = 7*j**2 + 28*j - 35. Let u(o) = 5*c(o) - 6*q(o). Factor u(b).
-(b - 1)*(b + 23)
Let o be (-1092)/6160 - (-2)/8. Let q(k) be the first derivative of 0*k - 5/22*k**4 - 6 + 5/33*k**6 - o*k**5 + 4/33*k**3 + 0*k**2. Suppose q(y) = 0. What is y?
-1, 0, 2/5, 1
Let y(h) be the third derivative of -h**6/120 + h**5/30 - h**4/24 - 367*h**2. Factor y(f).
-f*(f - 1)**2
Let v = -179 - -179. Let j be ((v - -11)/231)/((-1)/(-3)). Find q, given that -1/7*q - j*q**2 + 0 = 0.
-1, 0
Suppose 43 = 5*c - o, -2*c + 21 = -o + 2. Solve 3*a**4 + 52*a + 47*a**2 + 12 - 16*a + 18*a**3 - c*a**2 = 0.
-2, -1
Let k(m) be the first derivative of m**3/9 - 41*m**2/3 - 83*m/3 + 61. Solve k(h) = 0 for h.
-1, 83
Let t(v) = -100*v**2 + 350*v + 340. Let k(r) = 11*r**2 - 39*r - 38. Let s(z) = -55*k(z) - 6*t(z). Suppose s(x) = 0. What is x?
-1, 10
Let t(k) = -9*k**2 - 123*k + 237. Let n(q) = -8*q**2 - 120*q + 236. Let i(a) = -5*n(a) + 4*t(a). Suppose i(u) = 0. Calculate u.
-29, 2
Suppose -6 = 241*i - 237*i + q, -2*q = -2*i + 12. Factor 3/2*b**2 + 3/2*b**4 + 0*b + i + 3*b**3.
3*b**2*(b + 1)**2/2
Find v such that -35*v**2 + 3*v**4 + 9*v**3 - 11*v + 5*v - 3*v - 6 + 38*v**2 = 0.
-2, -1, 1
Suppose 0 = q + r - 4, -4*q - 2*r = -r - 10. Determine n, given that -2 + 0 + n**2 - q*n - 1 = 0.
-1, 3
Let w(k) be the second derivative of k**4/36 - k**3/9 - k**2/2 - 9*k - 1. Find b, given that w(b) = 0.
-1, 3
Find r such that 10*r**2 - 10*r**4 + 6*r**2 + 4*r**4 + 23*r**5 - 25*r**5 + 12*r**3 = 0.
-4, -1, 0, 2
Let n(f) be the third derivative of 1/5*f**5 + 0*f**6 - 14*f**2 + 0*f**4 + 0 - 1/70*f**7 + 0*f**3 + 0*f. Factor n(m).
-3*m**2*(m - 2)*(m + 2)
Let u(t) be the first derivative of 8*t**3/3 + 7*t**2/2 - 10*t - 19. Let v(x) = -4*x**2 - 3*x + 5. Let p(n) = 2*u(n) + 5*v(n). Factor p(q).
-(q - 1)*(4*q + 5)
Let c(j) be the first derivative of j**8/168 + j**7/140 - 7*j**6/180 - j**5/20 + j**4/6 - 2*j**3 - 4. Let v(p) be the third derivative of c(p). Factor v(i).
2*(i - 1)*(i + 1)**2*(5*i - 2)
Let 60 + 263 - 697*z - 412*z + 169*z + 11515*z**3 - 3570*z**2 + 1715*z**4 - 43 = 0. What is z?
-7, -2/7, 2/7
Let v(z) = 4*z**4 - 40*z**3 - 16*z**2 - 8*z + 28. Let d(i) = -2*i**3 - i + 1. Let b(w) = -16*d(w) + v(w). Suppose b(m) = 0. What is m?
-1, 1, 3
Let h be 2292/224 - 117/312. Factor -9/7*d**3 + h*d**2 - 132/7*d + 60/7.
-3*(d - 5)*(d - 2)*(3*d - 2)/7
Let c(a) = 8*a**2 - 60*a - 369. Let j(r) = -2*r**2 + 16*r + 92. Let z(l) = -2*c(l) - 9*j(l). Suppose z(h) = 0. Calculate h.
-3, 15
Solve 2*s + 1/5*s**2 + 5 = 0.
-5
L