) + 4*u(i). Find n such that j(n) = 0.
-7, -2, 1
Suppose -14*m - 160 - 540 = 0. Let s be -2 - 10/(-16) - m/20. Solve -3/8*b**3 + 3/4*b - s*b**4 + 0 + 9/8*b**2 - 3/8*b**5 = 0 for b.
-2, -1, 0, 1
Factor -2087*d**3 + 6 + 2091*d**3 - 53 - 8*d**2 + 7 - 52*d.
4*(d - 5)*(d + 1)*(d + 2)
Let y(c) be the second derivative of c**4/54 + 428*c**3/27 - 860*c**2/9 + 11*c - 141. Solve y(x) = 0.
-430, 2
Let o be 1060/132 - 18/12. Let x = -34/33 + o. Factor x*m + 2 + 7/2*m**2.
(m + 1)*(7*m + 4)/2
Let n(z) be the first derivative of -z**6/7 + 333*z**5/35 - 1686*z**4/7 + 19328*z**3/7 - 82944*z**2/7 - 98304*z/7 + 2796. Solve n(i) = 0 for i.
-1/2, 8, 16
Let v(c) = c**3 + 6*c**2 + 3. Let t be v(-6). Suppose -o + 5*r = 3*r - 84, 5*r + 247 = t*o. Factor -5*a**2 + 10*a + 74 - o.
-5*a*(a - 2)
Let p be (11 + -8)/(549/122). Let -4/3*j + 0 - p*j**2 = 0. What is j?
-2, 0
Suppose -25 = -5*g, q - 6*g - 53 = -7*g. Factor -6700*y**4 + 100 + 6704*y**4 + q*y**3 + 240*y + 150*y**2 + 34*y**2.
4*(y + 1)**2*(y + 5)**2
What is t in 864*t**2 + 447*t**3 + 256*t + 225*t**3 - 20*t**5 + 72*t**4 - 80*t**3 = 0?
-2, -2/5, 0, 8
Let u(a) = -a**2 + 18. Let d be u(4). Solve -46*p + 27*p**3 - 10*p**2 - d*p**3 - 5*p**4 + 6*p = 0.
-1, 0, 2, 4
Let d be -663 + 11/(99/72). Let k = d + 7212/11. Let 12/11*m + 4/11 - k*m**2 = 0. What is m?
-2/7, 2
Let l(y) be the third derivative of -y**6/720 + y**5/90 + y**4/36 - 4*y**3/9 - 2162*y**2. Factor l(j).
-(j - 4)*(j - 2)*(j + 2)/6
Let m = -10517 + 10522. Let p(s) be the first derivative of 1/20*s**m - 1/12*s**3 - 9 + 0*s + 1/8*s**2 - 1/16*s**4. Find y such that p(y) = 0.
-1, 0, 1
Let r(k) = -3*k**3 + 6*k**2 + 5*k - 4. Suppose -14*v + 6 + 64 = 0. Let t(o) = -4*o**3 + 6*o**2 + 4*o - 5. Let d(u) = v*r(u) - 4*t(u). Factor d(x).
x*(x + 3)**2
Let m(s) be the second derivative of 3*s**4/8 - 839*s**3/12 + 93*s**2/2 - 2734*s. Factor m(t).
(t - 93)*(9*t - 2)/2
Let h(v) = -11*v**3 + 2*v**2 + 9*v - 57. Let p(i) = -10*i**3 + 4*i**2 + 10*i - 58. Let x(u) = 6*h(u) - 7*p(u). Find d such that x(d) = 0.
-2, 2, 4
Let z(m) be the first derivative of -m**5/60 - m**4/2 - 6*m**3 - 63*m**2 - 5. Let x(i) be the second derivative of z(i). Let x(n) = 0. What is n?
-6
Determine x so that -34/5 - 19/5*x - 1/5*x**2 = 0.
-17, -2
Let r(l) be the third derivative of -l**7/105 - 9*l**6/20 - 71*l**5/30 + 9*l**4/4 + 24*l**3 - 1510*l**2 - 4. Determine d, given that r(d) = 0.
-24, -3, -1, 1
Let i(v) = 2*v**2 + v + 728. Let r be (1 - 1)/(8/(-4)). Let k be i(r). Let 4*l**4 + k*l**3 - 716*l**3 + 2*l**2 - 2*l**2 = 0. What is l?
-3, 0
Let y(l) be the third derivative of -33/40*l**6 - 84*l**2 + 1/28*l**8 + 0*l + 0 + 0*l**3 - 11/20*l**5 + 5/8*l**4 - 13/70*l**7. Solve y(r) = 0.
-1, 0, 1/4, 5
Let l(t) = -7*t**2 - 51*t + 704. Let i be l(14). Let j = i + 1384. What is s in 4 - 4*s - 1/4*s**4 + 0*s**j + s**3 = 0?
-2, 2
Let q(f) be the second derivative of f**6/30 - 4*f**5/5 + 13*f**4/3 - 8*f**3 - 358*f. Let q(g) = 0. Calculate g.
0, 2, 12
Suppose 230*d = 231*d - 76. Solve -96*u**2 + 10*u - 82*u**2 + 16*u**5 + 206*u**2 + 20*u**4 + 2*u - d*u**3 = 0.
-3, -1/4, 0, 1
Let p(w) be the second derivative of -6*w**2 - 1/50*w**5 + 7/15*w**4 + 0 + 17/15*w**3 + 283*w. Solve p(q) = 0 for q.
-2, 1, 15
Solve -48*q**4 - 26*q**4 + 5*q**4 + 240*q**2 - 399*q**3 - 4*q**5 - 3456 + 3744*q - 15*q**4 - 41*q**3 = 0 for q.
-12, -6, 1, 2
Suppose 37/5*s**2 - 21/5*s**3 + 4/5*s**4 + 4/5 - 24/5*s = 0. Calculate s.
1/4, 1, 2
Suppose 0 = -c + 11 - 5. Suppose c*d - 15 = d - 2*m, d - 3 = 2*m. Solve -8 - 25*a**3 + 21*a - 5*a - 10*a**2 + 27*a**d = 0.
1, 2
Let -256/3*g**4 + 134/3*g**3 + 748/3*g**2 - 10/3*g**5 - 824/3*g + 208/3 = 0. Calculate g.
-26, -2, 2/5, 1
Suppose 49*o + 96 - 232 = 15*o. Let y(d) be the second derivative of 5/3*d**3 + 5/12*d**o - 15/2*d**2 + 21*d + 0. Find z such that y(z) = 0.
-3, 1
Let f(y) be the first derivative of 5*y**4/4 + 20*y**3/3 - 75*y**2/2 - 90*y + 281. Factor f(h).
5*(h - 3)*(h + 1)*(h + 6)
Let b(q) be the first derivative of q**8/168 - 2*q**7/15 - 31*q**6/60 - 8*q**5/15 + 4*q**2 - 19*q - 7. Let g(v) be the second derivative of b(v). Factor g(h).
2*h**2*(h - 16)*(h + 1)**2
Suppose -2751 = -129*c - 42. Suppose 0 = -3*i + 7*i - 3832. Factor -958*y - 3*y**3 + i*y - c*y**2.
-3*y**2*(y + 7)
Let h(o) be the first derivative of 3*o**4/28 + 43*o**3/7 + 345*o**2/7 + 888*o/7 - 8093. Factor h(q).
3*(q + 2)*(q + 4)*(q + 37)/7
Let g = 1691/3216 + -68/201. Let r(c) be the first derivative of -1/24*c**3 + 0*c - g*c**2 + 10. Factor r(t).
-t*(t + 3)/8
Let q(s) = -14*s**5 + 18*s**4 + 155*s**3 + 320*s**2 - 10. Let l(i) = 3*i**5 + i**4 + i**2 + 2. Let w(a) = -5*l(a) - q(a). Factor w(h).
-h**2*(h + 5)**2*(h + 13)
Let v(z) be the second derivative of -1/9*z**3 - 2*z + 0*z**2 + 5/36*z**4 - 9. Factor v(a).
a*(5*a - 2)/3
Let a = -465513 - -465517. Find j such that 2*j**2 + 3/2*j**3 - 1 - 3/4*j**5 - j**a - 3/4*j = 0.
-4/3, -1, 1
Suppose 67*u = -2*u - 19*u + 176. Factor -4/7*j**3 - 4*j - 32/7*j**u + 0.
-4*j*(j + 1)*(j + 7)/7
Let k be (-63)/4704*-14*24/45. Let z(c) be the third derivative of -1/70*c**7 + 0*c**3 - 3/40*c**6 + 0*c**4 - k*c**5 + 33*c**2 + 0 + 0*c. Factor z(s).
-3*s**2*(s + 1)*(s + 2)
Let z(o) be the second derivative of -o**5/70 - 3*o**4/7 - 11*o**3/7 - 16*o**2/7 + 65*o + 3. Factor z(j).
-2*(j + 1)**2*(j + 16)/7
Let q be (-18)/15 - (-135)/81. Let d = 1/5 + q. Factor 2/3*y + d + 1/6*y**2.
(y + 2)**2/6
Factor -41*t**3 + 312 - 36*t**3 - 514*t + 42*t**3 - 218*t**2 + 31*t**3.
-2*(t + 3)*(t + 52)*(2*t - 1)
Suppose 39*o - 21 = -4*w + 38*o, -4*w - 3*o = -31. Let a(y) be the second derivative of 0 - 3/4*y**3 + 27/4*y**2 - 4*y + 1/32*y**w. Find x such that a(x) = 0.
6
Let b = 52 + -47. Factor -b*c**3 - 20*c**2 - 476*c + 476*c.
-5*c**2*(c + 4)
Let v(j) = 2*j**4 - 12*j**3 - 37*j**2 + 57*j. Let i(q) = -3*q**4 + 27*q**3 + 75*q**2 - 117*q. Let c(t) = -5*i(t) - 9*v(t). Suppose c(d) = 0. What is d?
-6, -4, 0, 1
Let o(b) be the third derivative of b**6/24 + 239*b**5/6 - 5*b**4/24 - 1195*b**3/3 - 2401*b**2. Suppose o(z) = 0. Calculate z.
-478, -1, 1
Let x(u) = -29*u + 94. Let z be x(0). Let y = 96 - z. Factor 2/3*o**3 - 1/3 + 1/3*o**5 - o + o**4 - 2/3*o**y.
(o - 1)*(o + 1)**4/3
Let y be (80/(-4) + 28)/12. Solve 8/3 - y*l**3 - 2/3*l**2 + 8/3*l = 0.
-2, -1, 2
Let j(o) = 5*o - 11. Let n be j(-17). Let d be (n/150)/(-4)*105/14. Suppose -d*q - 3/5 - 3/5*q**2 = 0. Calculate q.
-1
Let t(k) be the first derivative of -k**3/6 + 35*k**2/4 - 33*k - 1162. Factor t(b).
-(b - 33)*(b - 2)/2
Let l be (14/8*17/(510/40))/((-168)/(-144)). Let 69/5 + 204/5*j - 9/5*j**l = 0. Calculate j.
-1/3, 23
Let x(m) be the second derivative of 7*m**4/6 - 127*m**3/15 + 24*m**2/5 + 57*m. Factor x(y).
2*(5*y - 1)*(7*y - 24)/5
Determine f, given that -5/7*f**5 - 77*f**2 - 16 - 69/7*f**4 - 408/7*f - 307/7*f**3 = 0.
-7, -4, -1, -4/5
Let w be 204 + (-6 - 4*12/(-8)). Suppose -554*g - 595*g + w*g**2 + 8 + 937*g = 0. Calculate g.
2/51, 1
Let f(j) be the first derivative of j**6/42 + 9*j**5/35 - 36*j**3/7 + 21. Find t such that f(t) = 0.
-6, 0, 3
Suppose 45 = 8*z - 3*z. Let s be z/6*3 - 6/4. Factor 1 - 3*c**2 + 4*c**s - 5*c**3 + 7 - 4.
-(c - 1)*(c + 2)**2
Suppose -24 = -2*r - 4*k, 5*r = 10*r + k - 6. Let y(h) be the third derivative of 0 - 7*h**2 + 0*h + 1/240*h**5 + 0*h**3 + r*h**4. Factor y(a).
a**2/4
Suppose -3/7*q**4 + 1/7*q**5 - 64/7*q**3 + 288/7*q + 228/7*q**2 + 0 = 0. Calculate q.
-8, -1, 0, 6
Let c = 793 - 164. Let g = 631 - c. Let 9*a**4 + 0*a + 3/4*a**g - 27/8*a**5 - 39/8*a**3 + 0 = 0. Calculate a.
0, 1/3, 2
Let j = 473 + -154. Suppose -i - 317 = -j. Factor 0*x - 1/4 + 1/4*x**i.
(x - 1)*(x + 1)/4
Let y(l) be the third derivative of l**6/540 - 25*l**5/54 + 1298*l**4/27 - 71632*l**3/27 + 2253*l**2. Factor y(b).
2*(b - 44)**2*(b - 37)/9
Let p be (5 - 126/24)/(36/(-192))*54/36. Find r, given that -145/3*r + 285*r**p - 10/3 = 0.
-1/19, 2/9
Factor 9957 + 1722*p - 520*p**2 - 5178*p - 5826 + 3*p**4 - 158*p**2.
3*(p - 17)*(p - 1)*(p + 9)**2
Let r(w) = 4*w**2 - 207*w - 839. Let d(x) = -x**2 + 52*x + 207. Let y(i) = 26*d(i) + 6*r(i). Let y(s) = 0. Calculate s.
-3, 58
Suppose 0 = 4*i + 2*p - 6, 2*p + 4 = 5*i - 17. Suppose -93*q**3 + 60 + 34*q + 97*q**i + 90*q + 68*q**2 = 0. Calculate q.
-15, -1
Let u be -1*1*1/(-5)*10365/4837. Factor -12*v + u*v**2 + 81/7.
3*(v - 27)*(v - 1)/7
Let l(u) 