erivative of g(d). Factor j(w).
-w**3*(5*w - 3)
Let f = -431 - -431. Suppose f = -2*r - 10*r + 60. Factor 0 + 0*b + 4/3*b**4 + 8/3*b**3 + 16/9*b**2 + 2/9*b**r.
2*b**2*(b + 2)**3/9
Let k = -217305 - -16735315/77. Let i = k + -376/11. Suppose -2/7 - i*j - 40/7*j**2 = 0. Calculate j.
-1/4, -1/5
Suppose -12*z = 17*z - 609. Let m be z/(-42)*32/(-30). Solve m*r**2 + 0 + 2/5*r + 2/15*r**3 = 0 for r.
-3, -1, 0
Factor -7*m**2 - 41*m**2 + 25*m + 99*m**2 - 20*m**2 - 775 - m**3.
-(m - 31)*(m - 5)*(m + 5)
Let g(a) be the third derivative of -77/80*a**6 - 1/4*a**4 + 0 + a**5 + 0*a - 156*a**2 - 121/140*a**7 + 0*a**3. Factor g(f).
-3*f*(f + 1)*(11*f - 2)**2/2
Let h(q) be the third derivative of q**7/42 + 11*q**6/24 - 7*q**5/4 - 165*q**4/8 + 90*q**3 + 45*q**2 + q. Suppose h(o) = 0. What is o?
-12, -3, 1, 3
Suppose -5*o = -4*r + 1380 + 884, -o - 472 = 4*r. Let x = o - -458. Solve -10/7*c**3 - 4/7*c**x + 0*c + 0 - 6/7*c**4 = 0.
-1, -2/3, 0
Let q be (86/(-258))/((1/(-6))/(19/2)). Let w(l) be the first derivative of q + 2/33*l**3 - 3/11*l**2 + 4/11*l. What is z in w(z) = 0?
1, 2
Let h = -16409/30 - -547. Let o(l) be the third derivative of h*l**6 + 2/15*l**5 - 11*l**2 + 0 + 0*l - 1/2*l**4 + 0*l**3. Let o(g) = 0. What is g?
-3, 0, 1
Let o(x) be the first derivative of x**3/12 + 13*x**2/4 + 22*x + 1146. Determine g, given that o(g) = 0.
-22, -4
Let q(w) = w**3 - 4*w**2 - 3*w - 12. Let k be q(6). Let x = -40 + k. Determine j so that 24 + 2*j**3 + x*j**3 + 0*j**3 + 32*j**2 + 22*j + 30*j = 0.
-6, -1
Suppose 66*v - 106 - 118 - 240 = -134. Factor -2/5*n - 39/5*n**3 + 7*n**4 + 0 + 17/5*n**2 - 11/5*n**v.
-n*(n - 1)**3*(11*n - 2)/5
Let t(i) = 8*i**3 + 575*i - 2316 - 60*i**2 - 76*i**2 - 263*i + 1116*i. Let v(g) = g**3 + 2*g**2 - 1. Let o(d) = -t(d) + 4*v(d). Find f, given that o(f) = 0.
2, 17
Let g(d) be the second derivative of -d**4/3 - 8*d**3/3 + 192*d**2 + 2188*d. Suppose g(w) = 0. What is w?
-12, 8
Let t(h) be the third derivative of -h**5/330 + h**4/132 + 2*h**2 - 1411. What is n in t(n) = 0?
0, 1
Let u = -32929/249 + 11004/83. Determine j so that u*j**3 + 12 + 10/3*j**2 + 11*j = 0.
-4, -3
Let g = 8897 - 8895. Let w(x) be the first derivative of 0*x**3 + 6/5*x**5 + 0*x**g + 40 + 5/7*x**6 + 3/7*x**4 + 0*x. Find i such that w(i) = 0.
-1, -2/5, 0
Let a = -7412 + 7417. Let j(c) be the first derivative of 2/39*c**3 - 24 + 0*c + 0*c**2 + 0*c**4 - 2/65*c**a. Factor j(p).
-2*p**2*(p - 1)*(p + 1)/13
Let u = 52 - 101/2. Let q = -6201/4 + 1551. Factor -q + u*x - 3/4*x**2.
-3*(x - 1)**2/4
Let s(g) be the third derivative of g**6/420 + g**5/14 + 9*g**4/28 - 81*g**3/7 - 5282*g**2. Factor s(w).
2*(w - 3)*(w + 9)**2/7
Suppose 9 = -0*w + 3*w. Let o be (-3)/(w/(-4)) - 2. Factor 3*z**o + 57*z + 2*z**2 - 51*z - 2*z**2.
3*z*(z + 2)
Let a(s) be the third derivative of s**6/210 - 49*s**5/15 - s**4/42 + 98*s**3/3 + 10*s**2 - 63. Factor a(m).
4*(m - 343)*(m - 1)*(m + 1)/7
Let 2/5*g**2 + 1207458/5 + 3108/5*g = 0. Calculate g.
-777
Suppose -50*j = -61*j + 132. Let v(g) = -g**3 + 11*g**2 + 14*g - 22. Let h be v(j). Solve -48/5*o - 3/5*o**h - 192/5 = 0.
-8
Let b**5 + 0 + 1/2*b**4 + 0*b - 11/2*b**3 - 5*b**2 = 0. Calculate b.
-2, -1, 0, 5/2
Let z(j) be the third derivative of j**6/540 + j**5/30 + j**3/6 - 2*j**2 - 13*j. Let t(o) be the first derivative of z(o). Find c such that t(c) = 0.
-6, 0
Let z(i) be the second derivative of i**7/168 - i**6/18 - 5*i**5/24 + 19*i**3/6 + 116*i. Let g(r) be the second derivative of z(r). Factor g(w).
5*w*(w - 5)*(w + 1)
Let -22415 - 117*z**2 - 18389 + 555*z**2 + 366*z**2 - 4*z**3 - 39996*z = 0. What is z?
-1, 101
Let m(h) be the second derivative of h**4/42 + 32*h**3/3 - 452*h**2/7 + 4844*h. Solve m(u) = 0.
-226, 2
Let p(b) = 133*b - 142. Let k be p(-14). Let h = k - -14092/7. Solve -8/7*d**2 - 160/7*d**4 - 68/7*d**3 - h*d**5 + 0 + 0*d = 0.
-2, -1/4, 0
Suppose y = -2*y + 9, -4*y + 15 = -3*f. Let q be (-1*3/(-9))/(f + 2). Factor 5/6*h**4 + 0 + q*h + 3/2*h**3 + 1/6*h**5 + 7/6*h**2.
h*(h + 1)**3*(h + 2)/6
Let d(l) = 18*l**4 + 30*l**3 - 114*l**2 - 201*l - 90. Let g(f) = -f**4 - 3*f**3 - f**2. Let p(q) = -d(q) - 15*g(q). Factor p(c).
-3*(c - 10)*(c + 1)**2*(c + 3)
Determine a, given that 2/9*a**2 - 682/9*a + 680/9 = 0.
1, 340
Let c = -103493 - -206995/2. Factor -1/2*x**2 + 5 + c*x.
-(x - 10)*(x + 1)/2
Let a(s) be the third derivative of 1/50*s**5 + 0*s - 103*s**2 + 1/50*s**6 - 1/6*s**4 + 0*s**3 + 0 + 1/525*s**7. Find z, given that a(z) = 0.
-5, -2, 0, 1
Let h = 143744/9 + -15954. Let y = h + -784/45. Solve -2/3*m**4 + 2/15*m**2 + y*m - 2/5*m**3 - 4/15*m**5 + 0 = 0 for m.
-1, 0, 1/2
Let a be 45/30*(2/20)/(5/25). Find t such that 0 + 1/4*t**4 + a*t**3 - 1/4*t**5 - 1/4*t**2 - 1/2*t = 0.
-1, 0, 1, 2
Suppose 8 = -k + 12. Suppose -5*h - 3*p = -35, -7*h = -3*h - k*p - 28. Factor -62*x**5 - 2*x**2 + h*x**3 + 61*x**5 - 4*x**3.
-x**2*(x - 1)**2*(x + 2)
Let p(s) be the third derivative of s**7/6300 - s**6/900 - s**5/100 + s**4/3 - 7*s**2. Let t(i) be the second derivative of p(i). Factor t(l).
2*(l - 3)*(l + 1)/5
Let a(t) = 2*t**3 + t - 1. Let u be (2/12)/((-13)/(-78)). Let d be a(u). Find c, given that -78*c**d - 18*c**4 + 7*c**3 + 22*c + 68*c**3 - 14*c + 24 - 20*c = 0.
-1/2, 2/3, 2
Let b(y) = 7*y**2 + 16*y + 3. Let i(w) = -11 + 5 + 2 - 6*w**2 - 15*w. Let k(d) = -5*b(d) - 6*i(d). Factor k(z).
(z + 1)*(z + 9)
Suppose 49*m = 2*f + 53*m + 18, 3*m + 30 = -3*f. Let x(u) = u**2 + 22*u + 121. Let v be x(f). Determine t, given that t + v - 1/4*t**2 = 0.
0, 4
Let u be (5/(-1))/(-11 - -10) + -2. Factor -u*n - 12 + 45 + 3*n**3 + 6*n**2 - 18 - 21.
3*(n - 1)*(n + 1)*(n + 2)
Suppose 5*d + 4*n + 84 = 0, -3*n + 3728 - 3791 = -3*d. Factor -9/2*i**4 + 0*i - 3/4*i**5 - 6*i**3 + d + 0*i**2.
-3*i**3*(i + 2)*(i + 4)/4
Let 5*w**5 - 20/3*w**3 + 80/3 + 55/3*w**4 - 160/3*w - 80*w**2 = 0. What is w?
-2, 1/3, 2
Factor -24618 - 17920*d + 196*d**2 - 4*d**3 - 34182 + 352*d**2.
-4*(d - 70)**2*(d + 3)
Let s(g) be the first derivative of 3*g - 8*g**2 + 7/5*g**5 - 125 + 10*g**3 - 6*g**4. Factor s(a).
(a - 1)**3*(7*a - 3)
Let a = 13 - 11. Let 3*l - l - 140 + 144 - 2*l**a = 0. Calculate l.
-1, 2
Factor -1/5*q**2 + 37/5 + 36/5*q.
-(q - 37)*(q + 1)/5
Let t(x) = -x**2 - 18*x - 88. Let h be t(-8). Let f be 6 + 6/(-9)*(-36)/h. Factor -1/5*p + 1/10*p**f + 1/10*p**2 + 0.
p*(p - 1)*(p + 2)/10
Let y be (-29)/((-377)/(-52)) - (-5282)/(-564). Let g = -3/94 - y. Solve 2/3*a**2 + g*a + 200/3 = 0.
-10
Let c(p) = 7*p - 23. Let i be c(4). Suppose i*v - s = 3*s + 2, -5*s = -v - 8. Find m such that 2/9 - 2/9*m**v - 2/9*m**3 + 2/9*m = 0.
-1, 1
Let z(r) = r**3 + 93*r**2 + 1555*r + 4805. Let g(o) = -o**3 - 54*o**2 - 778*o - 2402. Let f(j) = 5*g(j) + 2*z(j). Factor f(b).
-3*(b + 8)*(b + 10)**2
Suppose -117/2*w + 13/2*w**3 - 24*w**2 + 783/4 + 1/4*w**4 = 0. What is w?
-29, -3, 3
Suppose -4*j + 3 + 5 = 0, -j = 5*d - 7042. Let h be 5*-6*5/(-50). Factor -8096*r**h + 7008*r**2 + 64 + 174*r**4 + d*r - 258*r**4 + 2200*r**4.
4*(r - 2)**2*(23*r + 2)**2
Let m(n) = 4*n**3 + 594*n**2 - 298*n - 266. Let q(j) = -j - 16. Let u(d) = -m(d) - 2*q(d). Factor u(h).
-2*(h - 1)*(h + 149)*(2*h + 1)
Let p = 281070 + -1967486/7. What is d in p*d - 12/7 + 1/7*d**3 + d**2 = 0?
-6, -2, 1
Let u(v) be the second derivative of -5 + 4/9*v**2 + 11/9*v**3 + 2*v + 4/27*v**4. Determine h, given that u(h) = 0.
-4, -1/8
Let l(s) = -s**3 - 10*s**2 + 74*s + 5. Let v be l(5). Suppose 0 = 5*o - 5*f - 5, 0 = -v*o - 2*o - 4*f - 4. Factor 12/5*x + o + 4*x**2 - 8/5*x**3.
-4*x*(x - 3)*(2*x + 1)/5
Determine n, given that -116*n + 166*n + 319*n + 750 - 3*n**2 = 0.
-2, 125
Let f be ((-4)/36*-6)/((-2)/3). Let n(a) = -27*a - 2. Let q be n(f). Factor 6*i - 39*i - 7*i + 20 + q*i**2 - 5*i**3.
-5*(i - 2)**2*(i - 1)
Let i = 169/852 - -11/213. Let u(k) be the second derivative of 15*k + i*k**3 - 3/40*k**5 + 0 + 1/16*k**4 - 1/40*k**6 + 0*k**2. Factor u(w).
-3*w*(w - 1)*(w + 1)*(w + 2)/4
Determine r, given that -564*r**3 + 7890*r - 1403*r**2 + 1714*r**3 + 2647*r**2 + 1415*r**2 + 3001*r**2 + 5*r**4 + 3375 = 0.
-225, -3, -1
Let l = 30426 - 152022/5. Solve -l*d - 1/5*d**2 - 2916/5 = 0.
-54
Let x(j) = -120*j**2 + 1885*j - 2705. Let t(u) = -11*u**2 + 172*u - 246. Let o(s) = -65*t(s) + 6*x(s). What is c in o(c) = 0?
2, 24
Suppose 506 = -5*i + 3*k, 0 = -3*i - 2*k + 38 - 353. Let n = i + 106. Factor