econd derivative of 0*i**2 + 2/15*i**4 - 1/50*i**5 + 0 - 72*i - 1/75*i**6 + 4/15*i**3. Factor k(j).
-2*j*(j - 2)*(j + 1)*(j + 2)/5
Let q(i) = -15*i**2 + 3*i + 64. Let n be q(9). Let b = -1122 - n. Solve 3/4*l**3 - 63/4*l**b + 441/4*l - 1029/4 = 0 for l.
7
Let s(j) be the first derivative of 4*j**5/5 - 21*j**4 - 88*j**3/3 + 336. Solve s(k) = 0 for k.
-1, 0, 22
Find f, given that 33*f**2 + 862*f**2 - 1455*f - 771*f**3 + 15*f**4 + 1394*f**3 - 828*f**3 + 630 = 0.
2/3, 3, 7
Let f(v) be the third derivative of 5/28*v**8 + v**5 + 0 + 5/12*v**4 + 205*v**2 + 0*v - 5/6*v**3 - 7/12*v**6 - 11/42*v**7. Find n, given that f(n) = 0.
-1, -1/3, 1/4, 1
Let y(o) = o**3 + 23*o**2 + 46*o + 86. Let h be y(-21). Suppose 4*w - 23 = 19*t - 22*t, 0 = 5*w - h*t. Factor -2/3*x**3 + 10/3*x + 2/3*x**2 + w.
-2*(x - 3)*(x + 1)**2/3
Let h be ((-2655)/135 + 19)*-6. Factor 0 - h*s**3 + 7/2*s**2 - 8*s**4 - 1/2*s.
-s*(s + 1)*(4*s - 1)**2/2
Suppose 5*n + 5*s = 44 - 14, 0 = -4*n - 3*s + 22. Solve -16*t**3 - 9*t**4 + 16*t + 25*t**n + 36*t**3 + 32*t**2 - 12*t**4 = 0 for t.
-2, -1, 0
Let d(l) be the first derivative of 5*l**4/12 - 25*l**3/6 + 121*l - 165. Let k(g) be the first derivative of d(g). What is m in k(m) = 0?
0, 5
Let m be 980/(-350)*(-20)/14. Find k such that 0 + 4/5*k**m - 4/5*k - 4/5*k**2 + 4/5*k**3 = 0.
-1, 0, 1
Let o(i) be the third derivative of -i**6/180 + i**5/9 - 11*i**4/12 + 4*i**3 - 7854*i**2. Factor o(j).
-2*(j - 4)*(j - 3)**2/3
Determine a, given that -13*a**4 + 55*a**4 + 86*a**3 - 417638*a + 46*a**2 + 417640*a = 0.
-1, -1/21, 0
Suppose -13 = 32*k + 83. Let z(x) = 7*x**2 + x + 108. Let n(t) = -3*t**2 - 36. Let m(l) = k*z(l) - 8*n(l). Solve m(g) = 0.
-3, 4
Let d = 2100/19 - 6224/57. Let s(k) be the first derivative of -d*k**2 - 8/3*k + 14/9*k**3 - 1/3*k**4 + 6. Determine c, given that s(c) = 0.
-1/2, 2
Let a(b) = -16*b**3 - 41*b**2 - 33*b + 33. Let v(n) = -19*n**3 - 42*n**2 - 31*n + 32. Let c(f) = -4*a(f) + 3*v(f). Let c(j) = 0. Calculate j.
-3, 4/7
Let t(k) = -k**2 + k - 3. Let j(y) = -18*y**2 + 1498*y - 2994. Let c(r) = -j(r) + 14*t(r). Factor c(i).
4*(i - 369)*(i - 2)
Let a(d) = -d**2 + 5*d + 5. Let h be a(6). Let o be 1*-4 + (-8)/h. Factor -4 + 5*s**2 + 0*s**2 + o.
5*s**2
Let o(w) be the third derivative of w**6/60 - 183*w**5/10 + 137*w**4/3 + 2*w**2 + 13*w - 10. What is m in o(m) = 0?
0, 1, 548
Let t(w) = -13*w**4 - 118*w**3 + 229*w**2 + 7. Let k(j) = 7*j**4 + 52*j**3 - 115*j**2 - 4. Let f(m) = -7*k(m) - 4*t(m). Let f(g) = 0. Calculate g.
-37, 0, 1
Let g(o) be the second derivative of -o**6/45 + 101*o**5/15 - 9997*o**4/18 - 6868*o**3/3 - 3468*o**2 + 628*o. Solve g(c) = 0.
-1, 102
Let v(c) be the first derivative of -c**3/4 - 45*c**2/8 + 14600. Factor v(x).
-3*x*(x + 15)/4
Let o(y) be the first derivative of -y**3/7 + 6735*y**2/7 - 15120075*y/7 - 5236. Factor o(p).
-3*(p - 2245)**2/7
Let k(u) be the second derivative of -92 + 1/2*u**4 + 0*u**2 - 1/2*u**3 + 0*u**5 + 1/14*u**7 - 1/5*u**6 - u. Find d, given that k(d) = 0.
-1, 0, 1
Determine u, given that 82/25*u - 2/25*u**3 + 66/25 + 14/25*u**2 = 0.
-3, -1, 11
Suppose 63 = 5*y - 12*p, -3*p - 11 = 5*y - 14. Determine v, given that -v**y - 11/6*v**2 + 3/2*v**4 + 2/3 + 2/3*v = 0.
-2/3, 1
Let d = -756619 - -756622. What is i in -16/17*i**d - 46/17*i**4 - 8/17*i + 12/17*i**5 + 2*i**2 + 0 = 0?
-1, 0, 1/3, 1/2, 4
Let s(c) = c**2 - 3*c - 3. Suppose -18 = -3*j - 12. Let u(m) = 4*m**2 - j*m - 2*m**2 - m**2 - 4 + m**2. Let k(p) = -4*s(p) + 3*u(p). Factor k(f).
2*f*(f + 3)
Let a(f) = 5*f**4 - f**3 - f**2 - f - 2. Let p(c) = -27*c**4 + 13*c**3 + 37*c**2 - 123*c + 10. Let k(h) = -5*a(h) - p(h). Factor k(d).
2*d*(d - 4)**2*(d + 4)
Let c(v) = v**3 + 15*v**2 + 271*v + 2822. Let r be c(-12). Determine b, given that 2/5*b**r + 0 - 4/5*b = 0.
0, 2
Let c(h) be the first derivative of 27*h**2 + 7/2*h**6 - 69 + 93*h**3 + 153/5*h**5 + 0*h + 357/4*h**4. Find n such that c(n) = 0.
-3, -1, -2/7, 0
Suppose 20 = -4*y - 5*o, -38*y + 33*y - 3*o = 25. Let w(n) = -39*n - 192. Let t be w(y). Suppose 0 + 1/2*j**2 - 9/4*j**t + 0*j = 0. What is j?
0, 2/9
Let k(t) be the first derivative of 5*t**3/3 - 35*t**2/2 - 40*t - 6351. Factor k(s).
5*(s - 8)*(s + 1)
Suppose -5*l - 96 + 446 = 0. Factor c - l*c - 33*c - 3042 - 54*c - 2*c**2.
-2*(c + 39)**2
Suppose -c = -655 + 642. Suppose c*i = -11 + 63. Solve -2/7*j + 1/7*j**i + 0 + 0*j**3 - 3/7*j**2 = 0 for j.
-1, 0, 2
Let v(u) = -u - 9. Let n be v(-9). Suppose n = -b - 4 + 9. Factor -17 - b*a**4 + 2 - 15*a**2 - 50*a + 9*a**3 - 39*a**3 - 45*a**2.
-5*(a + 1)**3*(a + 3)
Suppose 0 = 3*o - 2*o. Suppose o = 14*b - 49 + 35. What is k in -4/3*k + b - 2/3*k**2 - 1/3*k**4 + 4/3*k**3 = 0?
-1, 1, 3
Let l(q) = q**2 - 2*q + 1. Let o(a) = -3084*a + 7090 + 102*a**2 + 9359 + 5972 + 10353 - a**3. Let i(b) = -6*l(b) + o(b). Factor i(m).
-(m - 32)**3
Factor -144*x - 4875*x**3 + 2*x**4 - 36*x**2 - 72*x + 4889*x**3 + 432.
2*(x - 3)*(x - 2)*(x + 6)**2
Let y(s) = -10*s**3 + 24*s**2 - 48*s + 10. Let j(u) be the first derivative of u**4/4 + u**2 + u + 253. Let k(v) = 6*j(v) + y(v). Factor k(c).
-4*(c - 4)*(c - 1)**2
Let k = -238 - -242. Let 6*a**k - 91*a**3 + 135*a**3 - 10*a**4 = 0. What is a?
0, 11
Let b(f) = f**3 - 5. Let k be b(2). Suppose -26 = -2*m + k*q + q, m - 21 = 4*q. Let -9*j**3 - 4*j**m + j**5 + 21*j**4 - 9*j**4 = 0. Calculate j.
0, 1, 3
Let v(y) be the third derivative of y**7/105 + 19*y**6/60 + 16*y**5/5 + 12*y**4 + 3*y**2 + 422*y. Factor v(c).
2*c*(c + 3)*(c + 4)*(c + 12)
Let b(s) be the second derivative of -s**4/96 + 7*s**3/48 - 3*s**2/4 + 499*s. Solve b(w) = 0 for w.
3, 4
Factor 11*c**4 - 19*c**2 + 40*c**4 + 120*c + 107*c**2 + 10*c**3 - 53*c**4.
-2*c*(c - 10)*(c + 2)*(c + 3)
Let o be 5/(1*4/32). Let z = o + 13. Find w, given that -40 - z - 25*w - 10*w**2 + 83 = 0.
-2, -1/2
Let s be (-584)/(-38836) - 8/532. Let 4*a**2 + 0*a + s - 4/5*a**4 + 16/5*a**3 = 0. Calculate a.
-1, 0, 5
Let m be (2 + -4)*855/(-10). Factor 15*j**3 - 56*j**2 - 3*j**4 + 36*j + 17*j**2 - m + 3*j**3 + 159.
-3*(j - 2)**2*(j - 1)**2
Let c(a) be the second derivative of a**6/105 - 39*a**5/35 + 38*a**4/7 - 226*a**3/21 + 75*a**2/7 + 1065*a. Find n, given that c(n) = 0.
1, 75
Factor 0 - 7/6*t**3 - 16/3*t + 10*t**2.
-t*(t - 8)*(7*t - 4)/6
Suppose -2*d - 2 = -d + 3*k, 0 = -4*k - 20. Let 8*i**2 - 5 - 3*i**2 - 22 - 10*i - d = 0. Calculate i.
-2, 4
Solve 208*i - 81120 - 2/15*i**2 = 0 for i.
780
Let c be (-50)/12 + 17*81/306. Factor -c*k**4 - 1/3*k**2 + 0*k + 0 + 2/3*k**3.
-k**2*(k - 1)**2/3
Let f(n) = 3*n - n + n - 4*n. Suppose s = -4*r - 56, -s = -4*r + 2 - 66. Let q(o) = o**2 - 3*o + 16. Let b(u) = r*f(u) - 3*q(u). Factor b(k).
-3*(k - 4)**2
Let f(b) = 5*b**2 - 927*b + 90. Let k(d) = -11*d**2 + 1856*d - 195. Let l(w) = -13*f(w) - 6*k(w). Let l(h) = 0. Calculate h.
-915, 0
Let p(o) = 4*o**2 + 37*o - 74. Let v be p(-11). What is m in 4/21*m**2 - 4/21 + 8/21*m**v + 0*m**4 - 2/21*m**5 - 2/7*m = 0?
-1, 1, 2
Let q be 9/(-9) - (-8)/1. Let b = 11 - q. Factor 2*f**4 - 3*f**b + 10*f**3 + 6*f**4 + 5*f**2 + 0*f**4.
5*f**2*(f + 1)**2
Let j = -82481/3 - -27501. Factor 2/9*b**2 + j + 28/9*b.
2*(b + 3)*(b + 11)/9
Let n = 12078 + -12072. Let h(q) be the second derivative of -2*q**3 - 1/10*q**n - 12*q + 3/20*q**5 + 3/2*q**4 + 0 - 12*q**2. Factor h(j).
-3*(j - 2)**2*(j + 1)*(j + 2)
Let o be 3/4*(-145 - 5 - 6). Let i = -115 - o. Factor 4 - 10*s + 14*s**2 - 12*s**i + 2*s**2.
2*(s - 2)*(2*s - 1)
Let c(b) = 0*b**2 - 570 + 570 - 2*b + 2*b**2 - 2*b**3. Let o(d) = 3*d**3 - 3*d**2 + 5*d + 1. Let n(r) = -5*c(r) - 3*o(r). Suppose n(k) = 0. What is k?
-1, 3
Let m = -31765 + 63545/2. Determine l, given that 17/2*l**2 - 31/2*l + m - 1/2*l**3 = 0.
1, 15
Let h(d) be the third derivative of -d**8/1008 - d**7/30 - 67*d**6/180 - 37*d**5/30 + 15*d**4/8 + 27*d**3/2 - 243*d**2. Find z, given that h(z) = 0.
-9, -3, -1, 1
Let p(b) be the first derivative of b**5 + 0*b**4 + 0*b**3 + 0*b**2 + 0*b - 5/6*b**6 + 66. Find m, given that p(m) = 0.
0, 1
Let p(h) be the third derivative of -h**8/1176 - 2*h**7/15 + h**6/210 + 14*h**5/15 - h**4/84 - 14*h**3/3 + 335*h**2. Determine s so that p(s) = 0.
-98, -1, 1
Suppose 10526*o - 10566*o + 80 = 0. Factor 8/9 - 2/3*q + 1/9*q**o.
(q - 4)*(q - 2)/9
Let s(b) be the first derivative of -b**5/15 + 56*b**4/3 - 884*b**3/9 + 440*b**2/3 + 4753. Determine z so that s