2)
Let b = 737894/63 - 81940/7. Find v such that -22/9*v - b*v**3 + 88/9*v**2 - 4/3 + 8/9*v**4 = 0.
-1/4, 1, 6
Suppose 79*k + 130*k - 55 = -55. Suppose 2/11*o**5 + 0*o**2 + 0*o + 6/11*o**4 + k*o**3 + 0 = 0. Calculate o.
-3, 0
Let f = 310871 + -310869. Factor -432/5 + 2/5*a**3 + 216/5*a - 36/5*a**f.
2*(a - 6)**3/5
Let z(j) be the third derivative of -j**6/15 - 203*j**5/15 - 301*j**4/6 - 200*j**3/3 - 4*j**2 + 15*j - 3. Factor z(p).
-4*(p + 1)*(p + 100)*(2*p + 1)
Let f = 4610 - 4607. Let y(t) be the third derivative of -5/3*t**f + 0*t + 19/24*t**6 + 5/4*t**5 + 0 + 5/24*t**4 + 1/6*t**7 - 11*t**2. Factor y(c).
5*(c + 1)**3*(7*c - 2)
Let x = 590 - 1769/3. Let h = 11 - 11. Factor -1/9*n**2 + h - x*n.
-n*(n + 3)/9
Let y(j) be the second derivative of -28*j - 324/19*j**2 + 5 + 1/190*j**5 + 35/114*j**4 + 96/19*j**3. Factor y(w).
2*(w - 1)*(w + 18)**2/19
Let r(f) be the first derivative of -8*f**3/3 - 14*f**2 - 35. Let t(i) = -i**2 - 4*i - 1. Let z(k) = -r(k) + 6*t(k). What is j in z(j) = 0?
-3, 1
Let r(t) be the third derivative of -t**6/24 + 9*t**5/2 + 95*t**4/8 - 275*t**3/3 + 15*t**2 - 43. Factor r(k).
-5*(k - 55)*(k - 1)*(k + 2)
Let o(r) be the first derivative of 19*r**6 + 219*r**5/5 + 24*r**4 - 3*r**3 - 441. Factor o(f).
3*f**2*(f + 1)**2*(38*f - 3)
Let i be (2/1)/(13/26). Let y be 3*(i/(-7) + 33/21). Find w such that -15*w**y + 3*w**3 + 4*w**2 - 8*w**2 = 0.
-1/3, 0
Let y = -3967/2 - -27771/14. Let n(x) be the first derivative of 27 - 1/7*x**3 + y*x**2 + 0*x + 1/28*x**4. Let n(m) = 0. Calculate m.
0, 1, 2
Let n = 31055 - 124219/4. Let b = -10 - -10. Solve -1/4*z**4 + b - n*z**3 + 1/2*z**2 + 0*z = 0 for z.
-2, 0, 1
Let c = 80 - 5. Let p be 12/c*(13 + 22). Factor -18/5*i - 12/5*i**4 - p*i**3 - 2/5*i**5 - 32/5*i**2 - 4/5.
-2*(i + 1)**4*(i + 2)/5
Let j(a) = -a**2 - 121*a - 2400. Let v be j(-25). Let f(x) be the first derivative of 1/10*x**4 + v*x + 4/5*x**2 + 2/3*x**3 + 25. Let f(d) = 0. Calculate d.
-4, -1, 0
Find f such that 4140/7*f - 14283/7*f**2 - 300/7 = 0.
10/69
Let p(d) = d**2 - 15*d - 213. Let x be p(24). Let b(y) be the first derivative of -5/2*y**4 + 4/3*y**x - 4*y + 10 + 5*y**2. Factor b(u).
-2*(u - 1)*(u + 1)*(5*u - 2)
Let j be 18/42 + ((-298)/42 - -8). Let q(b) be the first derivative of 11 - 4*b - j*b**3 - 4*b**2. Determine d so that q(d) = 0.
-1
Let p(y) be the second derivative of -3*y**5/100 - 43*y**4/20 + y**3/10 + 129*y**2/10 + 1119*y. Suppose p(j) = 0. What is j?
-43, -1, 1
Solve 1876/5 + 934/5*s + 2/5*s**3 - 188*s**2 = 0.
-1, 2, 469
Let g(y) be the third derivative of -y**5/12 - 1285*y**4/24 + 215*y**3 - 2149*y**2. Suppose g(t) = 0. What is t?
-258, 1
Let p(k) be the second derivative of 5*k**7/42 + 8*k**6/5 - 15*k**5/4 + 11*k**4/6 + 1085*k. Solve p(z) = 0.
-11, 0, 2/5, 1
Suppose 2*f - 691 = 2*o + o, -2*f + 703 = o. Factor f*g - 143*g**2 - 5*g**4 - 77*g**2 - 105*g + 75*g**3 - 95*g**2.
-5*g*(g - 7)**2*(g - 1)
Suppose 135*d = 157*d. Let g(a) be the third derivative of 0*a + 1/840*a**8 + 1/75*a**5 + 0*a**3 + 4/525*a**7 + 1/60*a**6 + d + 0*a**4 - 15*a**2. Factor g(f).
2*f**2*(f + 1)**2*(f + 2)/5
Let v = 4846 - 4846. Let r(j) be the third derivative of 1/4*j**5 + 0*j - 1/24*j**6 + 6*j**2 + v - 10/3*j**3 + 0*j**4. Find d such that r(d) = 0.
-1, 2
Factor 3644112/5*i - 17159616 + 121644/5*i**2 + 3/5*i**4 + 1071/5*i**3.
3*(i - 15)*(i + 124)**3/5
Suppose 60*a - 288 + 288 = 0. Determine j, given that a - 2/7*j**3 + 0*j**2 + 2/7*j = 0.
-1, 0, 1
Let r = 422939/5 + -84579. Factor 4/5*x**4 + 108/5*x**2 + r*x**3 + 20*x + 32/5.
4*(x + 1)**3*(x + 8)/5
Let s(j) be the second derivative of -j**5/4 - 5*j**4/2 - 15*j**3/2 - 10*j**2 - j + 33. Factor s(c).
-5*(c + 1)**2*(c + 4)
Let k(t) be the third derivative of 0*t - 59*t**2 - 30*t**3 + 0 - 1/12*t**5 + 65/24*t**4. Factor k(r).
-5*(r - 9)*(r - 4)
Find x such that 2/9 + 2/9*x - 4/9*x**2 = 0.
-1/2, 1
Let m(h) = -5*h**2 + 29*h - 65. Let l(t) = -13*t**2 + 85*t - 190. Let w(g) = 3*l(g) - 8*m(g). Solve w(a) = 0 for a.
-25, 2
Suppose -2181 + 573 = -6*o. Suppose 10*p - 14*p = -o. Factor -b**2 + 3*b**2 - p*b + 72*b + 3*b**2.
5*b*(b + 1)
Suppose 0 = -13*l - 21 - 83. Let b be 4 - (l/9)/(1/(-3)). Factor b*p + 1/3*p**4 + p**2 - 4/3 - 4/3*p**3.
(p - 2)**2*(p - 1)*(p + 1)/3
Let p = -7 - 1. Let n be (-42)/p + (-7)/28. Let m(i) = -2*i**3 - 5*i - 5. Let w(v) = 3*v**3 + 9*v + 9. Let s(h) = n*w(h) + 9*m(h). Factor s(f).
-3*f**3
Let f(c) be the third derivative of -1/15*c**3 - 1/75*c**5 - 1/840*c**8 + 0*c + 0 + 1/175*c**7 - 79*c**2 - 1/150*c**6 + 1/20*c**4. Factor f(w).
-2*(w - 1)**4*(w + 1)/5
Suppose 14 = -4295*o + 4296*o, -2*y + o = y + 14. Solve 4/3*u**2 - 4/3*u**4 - 1/3*u**5 + 4/3*u + y - u**3 = 0.
-2, -1, 0, 1
Let b(k) be the third derivative of -k**5/60 - 1117*k**4/12 - 1247689*k**3/6 + 1372*k**2 - 2*k. Solve b(y) = 0 for y.
-1117
Let x be 250/135*9 + -14. Factor x*b - 20/9 - 4/9*b**2.
-4*(b - 5)*(b - 1)/9
Let a be (273/35)/(-13) - (-3)/5. Suppose a = -7*v - v. Factor -4/3*k**4 + 0 - 4/3*k**3 + 0*k + v*k**2.
-4*k**3*(k + 1)/3
Factor -158 - 2/11*p**2 + 1740/11*p.
-2*(p - 869)*(p - 1)/11
Let c(t) = -12*t**2 + 129*t - 90. Let h be c(10). Let g(s) be the first derivative of h*s + 2/7*s**2 + 17 - 2/21*s**3. Factor g(k).
-2*k*(k - 2)/7
Suppose -1642*u - 5 = -5 + 4 - 4. Factor 0*d**2 + u - 20*d**4 - 168/5*d**5 + 0*d - 12/5*d**3.
-4*d**3*(6*d + 1)*(7*d + 3)/5
Let o(a) = 19*a + 229. Let m be o(-9). Solve -8*p - 1 - 32*p**2 + 41 - m*p - 50*p + 8 = 0 for p.
-4, 3/8
Let u(t) be the second derivative of 1/63*t**7 - 7*t + 0*t**3 + 9/2*t**4 + 19/45*t**6 + 0 + 33/10*t**5 + 0*t**2. Determine r so that u(r) = 0.
-9, -1, 0
Let o = -4291199/300 - -14304. Let m(d) be the third derivative of 0*d**3 + 0*d + 0 - o*d**6 - 7*d**2 + 0*d**4 - 7/150*d**5. Let m(v) = 0. What is v?
-7, 0
Let t(b) be the third derivative of b**5/240 + b**4/32 - 5*b**3/3 + 7*b**2 - 68. Factor t(u).
(u - 5)*(u + 8)/4
Let h(d) = -3*d**2 - 172*d - 968. Let o(q) = 6*q**2 + 345*q + 2022. Let a(c) = -9*h(c) - 4*o(c). What is n in a(n) = 0?
-52, -4
Let v(l) be the second derivative of l**5/3 + 755*l**4/36 + 275*l**3/9 - 185*l**2/6 - 3*l + 2698. Find b, given that v(b) = 0.
-37, -1, 1/4
Suppose 0 = 5*y - 3*r - 48, 18*y - 44 = 14*y + r. Let 255*u - 73*u + y - 78*u - 36*u**2 = 0. What is u?
-1/9, 3
Let r(m) = -m**3 + 11*m**2 + 12*m - 38. Let t(z) = 4*z**3 - 56*z**2 - 60*z + 191. Suppose 16 = -2*u + 12. Let f(b) = u*t(b) - 11*r(b). Factor f(c).
3*(c - 3)*(c - 2)*(c + 2)
Factor -31867*u + 1488 - 32103*u - 4*u**3 + 66194*u + 732*u**2.
-4*(u - 186)*(u + 1)*(u + 2)
Let z(w) be the third derivative of -w**8/168 - 96*w**7/175 + 119*w**6/50 - 182*w**5/75 - 79*w**4/20 + 12*w**3 - w**2 + 606. Determine t so that z(t) = 0.
-60, -3/5, 1
What is p in -6/17*p**2 + 268/17*p + 90/17 = 0?
-1/3, 45
Suppose 2*w - 69 = 3*i - 61, -2*i + 16 = 4*w. Let z(h) be the second derivative of -3/10*h**5 + 5/8*h**w + 0*h**2 + 1/20*h**6 + 3*h - 1/2*h**3 + 0. Factor z(d).
3*d*(d - 2)*(d - 1)**2/2
Suppose 35*d - 25*d - 50 = 0. Suppose -4*k - 8 = -d*l - 5*k, -k = -2*l + 6. Suppose 54/7 - 2/7*h**4 + 16/7*h**3 - 36/7*h**l + 0*h = 0. Calculate h.
-1, 3
Let z be 4/(((-70)/(-7))/20). Let w(t) be the third derivative of 0*t + 1/120*t**6 + z*t**2 + 3/8*t**4 + 2/3*t**3 + 0 + 1/10*t**5. Factor w(i).
(i + 1)**2*(i + 4)
Let v be (2/(-2))/((-7)/(-497)). Let y = -40 - v. Solve -11*x + y*x**5 - 30*x**5 - x**3 - x + 11*x**2 + 4 - 3*x**4 = 0.
-2, 1, 2
Let s = 291 - 284. Determine v, given that v**2 + s*v**2 + 49*v + 16 - 13*v = 0.
-4, -1/2
Let b(v) = -4*v**2 + 12*v - 8. Let q(z) be the first derivative of -7*z**3 + 30*z**2 - 39*z - 24. Let n(f) = -22*b(f) + 4*q(f). Factor n(y).
4*(y - 5)*(y - 1)
Suppose 70*l + 29*l = 105 + 192. Let 0 + 0*f + 12/13*f**2 - 10/13*f**4 + 2*f**l = 0. Calculate f.
-2/5, 0, 3
Factor 16/11*r**4 - 4*r**3 + 0 - 2/11*r**5 + 48/11*r**2 - 18/11*r.
-2*r*(r - 3)**2*(r - 1)**2/11
Factor 0*s**3 - 2788*s - 2*s**3 + 4599*s - 58*s**2 - 2251*s - 384.
-2*(s + 1)*(s + 12)*(s + 16)
Suppose -174 = -98*d + 11*d. Let y(q) be the second derivative of -2/5*q**3 + 0 + 1/30*q**4 + 9/5*q**d + 17*q. Solve y(l) = 0 for l.
3
Suppose -61*i - 10 - 58 = -95*i. Let y(v) be the first derivative of 1/4*v**4 + 0*v + v**3 - 3 - i*v**2. What is g in y(g) = 0?
-4, 0, 1
Let b(g) be the second derivative of g**5/45 + 44*g**4/27 + 238*g