2/2 + 66. Let v(a) be the third derivative of j(a). Factor v(f).
-(f - 3)*(f + 7)/4
Let i = 33478 - 66955/2. Let x(w) be the third derivative of 9/20*w**5 - 7*w**2 + 0*w**3 + 1/70*w**7 + i*w**4 + 0 + 0*w + 3/20*w**6. Factor x(m).
3*m*(m + 1)**2*(m + 4)
Let d(x) be the second derivative of -91*x + 0*x**4 + 0 + 15/4*x**3 - 1/8*x**5 + 0*x**2. Find z, given that d(z) = 0.
-3, 0, 3
Suppose -11*h = -7*h - 5*o + 12, -3*o + 18 = 3*h. Let r be h*(-2)/40 - 291/(-210). Factor -6/7 - 3/7*p**3 + 0*p**2 + r*p.
-3*(p - 1)**2*(p + 2)/7
Let f be (4396/840)/(-157)*2/(-1). Let v(a) be the third derivative of a**4 + 9*a**2 - f*a**5 + 0 + 14/3*a**3 + 0*a. Let v(u) = 0. What is u?
-1, 7
Suppose 4*p = -2*h + 20, 3*h - 2*h = -3*p + 14. Suppose 4*b = 6*b + 2*g - 14, -g = h*b - 12. Factor 0 + 0*o**2 + 2/11*o**4 - 4/11*o**3 + 0*o + 2/11*o**b.
2*o**3*(o - 1)*(o + 2)/11
Let m = 1745 - 1743. Let l(y) be the first derivative of -5/2*y**4 + y**5 - 5*y**3 + 10*y**m - 11 + 20*y. Solve l(v) = 0.
-1, 2
Suppose -2*d - 6 = 2*y, 0 = 5*d - 0*d + 25. Determine o, given that -1285 - y*o**3 + 28*o**2 + 8*o - 7*o**4 + 1285 = 0.
-2, -2/7, 0, 2
Let y(s) be the first derivative of 4*s**5/5 + 5*s**4 - 4*s**3 - 90*s**2 - 216*s - 850. Factor y(r).
4*(r - 3)*(r + 2)*(r + 3)**2
Factor 2/21*a**4 - 12636/7*a + 216*a**2 + 36450/7 - 68/7*a**3.
2*(a - 75)*(a - 9)**3/21
Suppose -33*r = -36*r - q + 2, 2*r - 5*q + 10 = 0. Suppose z = 3 - 0. Factor 16/5*d**z - 4*d - 76/5*d**2 + r.
4*d*(d - 5)*(4*d + 1)/5
Let c(o) be the third derivative of -o**8/3024 + 4*o**7/135 - 419*o**6/540 + 14*o**5/5 - 27*o**4/8 - 743*o**2. Find i, given that c(i) = 0.
0, 1, 27
Let -56*s**2 + 1100*s - 60*s**2 - 3*s**2 + 276 + 103*s**2 = 0. Calculate s.
-1/4, 69
Suppose -2*k = 5*n - 34 - 189, 4*k = -2*n + 86. Let p be 63/n - (-1 - (-4)/10). Determine u, given that 6*u**p - 2*u**3 - 10*u**2 + 0*u**3 - 2*u**2 = 0.
-3, 0
Let k = 46175 - 46171. Factor 1/5*l**5 + 3/5*l**k - 3/5*l**2 + 0 + 1/5*l**3 - 2/5*l.
l*(l - 1)*(l + 1)**2*(l + 2)/5
Let k(f) = -7*f**2 - 1324*f + 52. Let w(p) = 16*p**2 + 2647*p - 130. Let d(t) = 5*k(t) + 2*w(t). What is b in d(b) = 0?
-442, 0
Let x be -7*(4131/378 - (-55)/(5/(-1))). Solve 7/4*d**2 + 3/4*d + 0 + x*d**3 = 0 for d.
-3, -1/2, 0
Factor -441*u - 20*u**3 + 170 + 40*u + 6726*u**2 - 7101*u**2 - 184*u.
-5*(u + 2)*(u + 17)*(4*u - 1)
Let h(l) = 5*l**5 - 161*l**4 + 502*l**3 - 447*l**2 - 3*l + 109. Let w(z) = -z**5 + z**4 - z**2 + z + 1. Let c(m) = -h(m) + 5*w(m). What is n in c(n) = 0?
-2/5, 1, 2, 13
Let p(g) be the first derivative of 3*g**4/14 - 82*g**3/21 - 60*g**2/7 + 1147. Determine q, given that p(q) = 0.
-4/3, 0, 15
Let s(d) = -d**2. Let c = 36 + -32. Suppose 0 = 3*o - c - 11. Let r(f) = 10*f**2 - 25*f + 20. Let y(i) = o*s(i) + r(i). Suppose y(t) = 0. What is t?
1, 4
Let 11544/7*n + 2/7*n**3 - 44*n**2 + 24336/7 = 0. What is n?
-2, 78
Let n(v) be the second derivative of -v**4/4 + 6*v**3 + 2*v + 341. Factor n(i).
-3*i*(i - 12)
Let t be -23 + -7 + (-6292)/(-182). Factor t + 40/7*p + 16/7*p**2 + 2/7*p**3.
2*(p + 2)**2*(p + 4)/7
Factor -2/3*g**3 - 1598*g + 200/3*g**2 - 3468.
-2*(g - 51)**2*(g + 2)/3
Suppose 29*l + 58 = 3*x + 30*l, x - 15 = 4*l. Factor -5 + 0*q**3 - 7*q**3 - x*q**2 + 79*q + 4*q**3 - 100*q.
-(q + 1)*(q + 5)*(3*q + 1)
Let d(a) = -2*a**4 - 12*a**3 - 2*a**2 - 7*a. Let p(f) = 2*f**4 + 11*f**3 + 3*f**2 + 6*f. Let h be ((-2)/1*2)/1. Let k(q) = h*d(q) - 5*p(q). Factor k(m).
-m*(m + 1)*(m + 2)*(2*m + 1)
Let 107/10*s**2 - 7/10*s**3 - 81 - 1/10*s**4 + 711/10*s = 0. Calculate s.
-9, 1, 10
Solve -47/4*f - 15 - 1/4*f**3 - 3*f**2 = 0.
-5, -4, -3
Suppose -1546*y + 4446 = 959*y - 282*y. Factor -90/11*l**y - 4/11*l - 86/11*l**3 + 0.
-2*l*(l + 1)*(43*l + 2)/11
Suppose -4*i - 926*k - 22 = -924*k, 3*i + 3*k = -33. Factor 2/5*p**4 + i + 2*p**2 + 24/5*p - 12/5*p**3.
2*p*(p - 4)*(p - 3)*(p + 1)/5
Let h(o) be the first derivative of -5*o**3/12 + 105*o**2/8 + 90*o - 165. Solve h(l) = 0 for l.
-3, 24
Let y(g) = -9*g**3 - 8*g**2 - 13*g + 1. Let j be (-1 + -5)*6/9. Let s(b) = 8*b**3 + 10*b**2 + 12*b. Let f(w) = j*y(w) - 6*s(w). Factor f(z).
-4*(z + 1)**2*(3*z + 1)
Suppose 0 = p + 2, -3*p + 10 = 4*v - 2*p. Let a be ((-8 + 42)/(12/54*39) + -4)*-4. Let 0 - a*d - 6/13*d**2 - 2/13*d**v = 0. What is d?
-2, -1, 0
Let l(j) be the first derivative of -j**5/10 + 63*j**4/8 - 91*j**3/3 + 30*j**2 + 6110. Factor l(q).
-q*(q - 60)*(q - 2)*(q - 1)/2
Let x(r) = -2*r**3 + 34*r**2 + 68*r - 88. Let i(s) = s**3 - 33*s**2 - 67*s + 90. Let v(q) = 4*i(q) + 3*x(q). Find k, given that v(k) = 0.
-12, -4, 1
Factor 36*p**2 + 231 - 379/2*p + 1/2*p**3.
(p - 3)*(p - 2)*(p + 77)/2
Let z = 53 + -51. Factor -9*h - 11*h + 24*h**3 - 2*h**5 + 0*h**5 + 8*h**4 - 12 + 4*h**z - 2*h.
-2*(h - 6)*(h - 1)*(h + 1)**3
Suppose -1 = 2*r + 1, -1721 = -3*c - r. Let g = c + -572. Factor -13/2*l**g - 2 - 3*l**3 - 6*l - 1/2*l**4.
-(l + 1)**2*(l + 2)**2/2
Let q(k) be the first derivative of k**4/8 - 5*k**3/6 - 179*k**2/2 - 176*k - 4697. Factor q(a).
(a - 22)*(a + 1)*(a + 16)/2
Let s(b) be the second derivative of 3*b**5/20 - 181*b**4/4 - 748*b**3 - 4536*b**2 + 14*b + 1. Determine x, given that s(x) = 0.
-4, 189
Let 290/19*n + 2/19*n**2 + 288/19 = 0. Calculate n.
-144, -1
Let r be 4/((-3)/(378/(-24))). Factor -21*k + r - 5*k**2 + 15 + 11*k + 39.
-5*(k - 3)*(k + 5)
Let c = -204 - -243. Determine v, given that -5*v**3 - 129*v - 41*v**2 - 124*v - 26*v - 41*v - c*v**2 = 0.
-8, 0
Let m(a) = 2*a - 17. Let g be m(10). Suppose 0 = g*c - 6*c + 6. Factor -42*o**2 + 9*o**3 + 40*o**2 - 6*o + 27*o**c.
o*(o + 3)*(9*o - 2)
Let f(r) = -r**5 - r**4 - r**2 + 1. Let y(q) = 2*q**5 - 6*q**4 + 22*q**3 + q**2 - 21*q + 8. Let z(b) = 3*f(b) + y(b). Factor z(c).
-(c - 1)**3*(c + 1)*(c + 11)
Let p = 879 + -801. Factor -i**4 - 25*i**2 - 247*i + 25*i**3 + 15*i**2 - 18*i**2 - 115*i**2 + p*i.
-i*(i - 13)**2*(i + 1)
Let n(u) = -6*u**2 - 52*u + 48. Let o(x) = 3*x**2 + 25*x - 24. Let r be (0 - -1)/((-3)/(-15) + 0). Let h(k) = r*o(k) + 2*n(k). Solve h(s) = 0 for s.
-8, 1
Let a = 3/116 + 681/580. Let r(p) be the first derivative of -a*p + 3/2*p**2 + 7/5*p**3 - 14. Factor r(h).
3*(h + 1)*(7*h - 2)/5
Let u(r) be the first derivative of -r**7/42 - r**6/12 + r**5/12 + 5*r**4/12 + 8*r**2 + 107. Let h(a) be the second derivative of u(a). Factor h(w).
-5*w*(w - 1)*(w + 1)*(w + 2)
Let a(i) be the second derivative of 0*i**2 + 99*i + 0*i**3 + 8/3*i**4 + 0 - 1/10*i**5. Let a(j) = 0. What is j?
0, 16
Let n(k) be the first derivative of -21/16*k**2 - 1/8*k**3 - 15/4*k + 73. Factor n(z).
-3*(z + 2)*(z + 5)/8
Let t(h) be the second derivative of h**4/12 - h**3/18 - 2*h**2/3 - 1844*h. Let t(o) = 0. Calculate o.
-1, 4/3
Let u(b) be the second derivative of b**5/25 + 16*b**4/5 - 302*b**3/15 + 204*b**2/5 - 7240*b. Find a such that u(a) = 0.
-51, 1, 2
Suppose a + j = 4, a - 2 = -2*j + 3*j. Factor 0*v**a + v**4 + 360*v + 7*v**3 + 15*v**3 - 192*v**2 + 12*v**3 - 3*v**4.
-2*v*(v - 6)**2*(v - 5)
Let h(u) = 3*u**2 + u + 10. Let p(r) = r**2 + 3. Let o(g) = -2*h(g) + 7*p(g). Let j(x) = -12*x**2 + 36*x + 16. Let l(v) = -j(v) - 8*o(v). Factor l(n).
4*(n - 6)*(n + 1)
Suppose -4*d + 4*h + 4 = -6*d, 0 = -h - 2. Factor -14*a - 21 - 2*a**d - 34 + 43.
-2*(a + 1)*(a + 6)
Let r(j) be the first derivative of -6*j**5/7 + 28*j**4 + 1546*j**3/21 + 310*j**2/7 - 16*j - 9209. Let r(d) = 0. What is d?
-1, 2/15, 28
Let v = -42 + 42. Suppose 2*z = v, -35 = 2*t - 5*z - 85. Factor 6*k**2 - 17*k**2 - k**2 - 8*k**2 + t*k + 5*k**3 - 10.
5*(k - 2)*(k - 1)**2
Let j be (99/44)/(6/(-48)). Let l = j + 21. Suppose 10/11*g**l + 6/11*g**4 - 8/11*g**2 + 0 - 8/11*g = 0. What is g?
-2, -2/3, 0, 1
Let 4*m**2 + 1/2*m**3 - 7 + 5/2*m = 0. What is m?
-7, -2, 1
Let f(t) be the third derivative of 475*t**7/6 + 6035*t**6/24 + 547*t**5/2 + 725*t**4/6 + 20*t**3/3 + 3*t**2 + 435*t - 1. Determine h, given that f(h) = 0.
-1, -2/5, -2/133
Let f = 7399 - 7394. Let a(k) be the third derivative of -1/21*k**7 + 0*k**f - 35*k**2 - 5/336*k**8 + 0*k**3 + 0 + 0*k**4 - 1/24*k**6 + 0*k. Factor a(o).
-5*o**3*(o + 1)**2
Suppose 0 = 2*d - 25*d + 11*d. Let x(v) be the third derivative of -8*v**2 + 0 - 1/570*v**5 + 8/57*v**3 - 7/228*v**4 + d*v. Let x(c) = 0. Calculate c.
-8, 1
Let l(j) be the third derivative of 0*j + 161*j**2 - 67/56*j**6 + 0 + 2/35*j**7 + 21/10*j**5 - 11/7*j**3 + 5/8*j**4. Find v,