ven that s(d) = 0.
-2, 0, 1, 29
Let q(l) be the third derivative of -l**5/240 - 17*l**4/32 - 161*l**3/6 + l**2 + 4360*l. Find i, given that q(i) = 0.
-28, -23
Let r(f) be the second derivative of -f**5/60 + 49*f**4/18 - 95*f**3/18 - 97*f**2/3 - 906*f. Determine h so that r(h) = 0.
-1, 2, 97
Suppose -29*q = 12299 + 6841. Let j = q - -662. Determine x, given that 0*x - 2/5*x**4 + 0 - 6/5*x**j + 8/5*x**3 = 0.
0, 1, 3
Let -504 + 3/7*j**3 - 102/7*j**2 + 156*j = 0. Calculate j.
6, 14
What is f in 298*f - 114 - 1/2*f**5 - 519/2*f**2 + 161/2*f**3 - 9/2*f**4 = 0?
-19, 1, 2, 6
Let a(x) = 5*x**2 + 3*x - 1. Let g be a(2). Factor -18*p + 15*p**2 - 27 - g + 87*p + 22.
3*(p + 5)*(5*p - 2)
Let u(g) be the second derivative of -10*g - 1 + 1/225*g**6 + 2/45*g**4 - 2/75*g**5 + 0*g**3 + 0*g**2. Factor u(o).
2*o**2*(o - 2)**2/15
Suppose 0 = -4*o - 8, -4*p - 11 = -5*p + 4*o. Solve p*w**3 - 9*w**2 - w + 0*w + 7*w = 0.
0, 1, 2
Let i(t) = -6*t**3 + 20*t**2 + 28*t - 42. Let c(g) = 8*g**3 - 20*g**2 - 29*g + 41. Let q(d) = -4*c(d) - 6*i(d). Factor q(z).
4*(z - 11)*(z - 1)*(z + 2)
Let u(b) be the first derivative of b**6/180 - b**5/12 + b**4/3 + 13*b**3/3 + 102. Let z(o) be the third derivative of u(o). Factor z(l).
2*(l - 4)*(l - 1)
Let u = -88 - -93. Determine r, given that 0*r**4 + u*r**4 - 8*r**2 + 15*r**3 + 18*r**2 = 0.
-2, -1, 0
Let z(v) = -14*v**4 + 696*v**3 - 1122*v**2 + 412*v - 4. Let h(q) = 13*q**4 - 696*q**3 + 1115*q**2 - 411*q + 3. Let d(x) = 4*h(x) + 3*z(x). Solve d(r) = 0 for r.
0, 3/5, 1, 68
Suppose -12*i = -11*i - 27. Factor 12*o**4 + 18*o**2 - 6*o + 247 - i*o**3 + 3*o - 247.
3*o*(o - 1)**2*(4*o - 1)
Let r be ((-96)/(-28))/((-36)/(-126)). Suppose r*w = -5*w. Factor -4/7*p**4 + w*p + 0 - 3/7*p**2 + p**3.
-p**2*(p - 1)*(4*p - 3)/7
Let o(f) be the third derivative of -f**7/840 - f**6/16 - 9*f**5/20 - 13*f**4/12 + 489*f**2. Determine a so that o(a) = 0.
-26, -2, 0
Factor 40/3*l - 2/3*l**2 + 64.
-2*(l - 24)*(l + 4)/3
Let f = 981112/303 + -3238. Let y = 2830/303 + f. Factor -76/3*i - 8 + y*i**2.
4*(i - 3)*(7*i + 2)/3
Let y = 3238232114 - 19947509780021/6160. Let j = y + 3/880. Let 48/7*k**4 + 54/7*k**5 - 8/7*k + 0 - j*k**2 - 46/7*k**3 = 0. Calculate k.
-1, -2/3, -2/9, 0, 1
Determine u, given that 9/4*u**3 - 6 + 1/4*u**5 - 23/4*u**2 + 7/4*u**4 - 25/2*u = 0.
-4, -3, -1, 2
Suppose -5*u + 10 = -5*m, -136*m + 141*m = -u + 20. Let x be (-116)/406 + m/7. Suppose 1/7*y**2 - 1/7*y**4 + 0 - x*y + 1/7*y**3 = 0. Calculate y.
-1, 0, 1
Solve 72 + 99/5*c**3 - 12/5*c - 3/5*c**4 - 54*c**2 = 0.
-1, 2, 30
Factor -94 - h**3 - 75 - 20*h**2 - 117*h + 7.
-(h + 2)*(h + 9)**2
Suppose -5*g + 43 = 3*p, -2371*p + 8 = -2368*p - 2*g. Factor p*q - 21/8*q**2 - 9/2 + 3/8*q**3.
3*(q - 3)*(q - 2)**2/8
Suppose 4*c + 136 = 42*i, -8*i - c - 23 = -13*i. Suppose 0*z + 0 - 29/7*z**3 + 4/7*z**4 + z**i = 0. Calculate z.
0, 1/4, 7
Let y(p) = -31*p**3 + 2699*p**2 - 124184*p + 121436. Let s(t) = -6*t**3 + 540*t**2 - 24837*t + 24288. Let b(k) = -16*s(k) + 3*y(k). Suppose b(j) = 0. What is j?
1, 90
Let j be (352/242)/(1065/(-165) + 7). Determine b, given that 0*b**4 + 4/3*b**2 + 2*b - j*b**3 - 4/3 + 2/3*b**5 = 0.
-2, -1, 1
Let n(a) be the second derivative of 1/3*a**2 - 59*a + 0 - 7/30*a**5 - 1/2*a**3 + 4/9*a**4 + 1/15*a**6 - 1/126*a**7. Find u such that n(u) = 0.
1, 2
Let x = -524 + 528. Factor -63 + 118 + x*y**2 + 4*y**3 - 8*y - 55.
4*y*(y - 1)*(y + 2)
Let f(b) be the second derivative of b**4/3 + 1438*b**3/3 + 66*b - 17. Factor f(j).
4*j*(j + 719)
Let y(q) be the third derivative of q**6/40 + 18*q**5/5 - 75*q**4/8 - 73*q**3 - 2042*q**2. Suppose y(u) = 0. What is u?
-73, -1, 2
Factor 1 - 3513110*n**3 + 3513115*n**3 - 6405*n**2 - 1 - 12830*n.
5*n*(n - 1283)*(n + 2)
Let l be 200/(-16)*(-37 + (-5 - -2)). Find q such that l*q**2 - 625*q**2 + 265*q - 6 - 129 - 5*q**3 = 0.
-27, 1
Let a(m) = -447*m - 12954. Let q be a(-29). Find d such that 0 + 0*d - q*d**2 - 27/2*d**5 - 72*d**4 + 105/2*d**3 = 0.
-6, 0, 1/3
Suppose z - 7 = -4*x, -9*x = -5*z - 13*x + 19. Solve -9/2*d + 4*d**3 - 3*d**4 + 0 + z*d**2 + 1/2*d**5 = 0.
-1, 0, 1, 3
Factor 453/4 + 459/4*h**2 - 909/4*h - 3/4*h**3.
-3*(h - 151)*(h - 1)**2/4
Let g = -177175 + 177580. Factor 2187/2 + 1/6*l**5 + g*l**2 + 2187/2*l + 69*l**3 + 11/2*l**4.
(l + 3)**2*(l + 9)**3/6
Determine p, given that 16/5 + 1412/15*p - 118/15*p**2 = 0.
-2/59, 12
Let f(z) be the third derivative of 33*z**2 - 5/72*z**4 + 0 + 0*z**3 - 2*z - 11/72*z**5. What is q in f(q) = 0?
-2/11, 0
Suppose 0*c - 15 = 3*c - 6*c, -9*t - 3*c + 15 = 0. Factor t*o + 0 - 9/5*o**3 - 6/5*o**2 - 3/5*o**4.
-3*o**2*(o + 1)*(o + 2)/5
Factor 105 - 1/2*h**2 - 67/2*h.
-(h - 3)*(h + 70)/2
Let t be (5/(400/15))/((-11)/(-44)). Factor -t*c**2 + 1/2*c + 0 + 1/4*c**3.
c*(c - 2)*(c - 1)/4
Let n(z) be the second derivative of 7*z**5/60 - 317*z**4/36 + 199*z**3/9 - 44*z**2/3 + 7474*z. Find q, given that n(q) = 0.
2/7, 1, 44
Let w(v) be the second derivative of 28/9*v**3 + 9*v**2 + 88*v + 1 + 1/18*v**4. Factor w(j).
2*(j + 1)*(j + 27)/3
What is g in 204 + 1932*g + 44*g**5 + 5541*g**3 + 87*g**5 + 5757*g**2 - 348*g**5 + 85*g**5 + 1464*g**4 + 84*g**5 = 0?
-2, -1, -1/4, 34
Let l be (6 - -3)*6/18. Suppose -1919*p**l + 9214*p**2 - 57765*p - 49714*p**2 - 3*p**5 - 2131*p**3 - 180*p**4 - 94110*p = 0. Calculate p.
-15, 0
Factor 2723778/7 + 4668/7*m + 2/7*m**2.
2*(m + 1167)**2/7
Let d = -394 + 402. Let q(g) be the first derivative of -1/2*g**6 + 0*g + 3/4*g**4 + 0*g**5 + 0*g**2 + 0*g**3 + d. Suppose q(n) = 0. Calculate n.
-1, 0, 1
Suppose 6*u + 20 = u. Let v = 44 + u. Factor 8*h**4 + 60*h - v - 10*h**2 - 11*h**4 + 8*h**4 - 15*h**3.
5*(h - 2)**2*(h - 1)*(h + 2)
Factor -17*c**3 + 32*c**3 - 13*c**3 - 1469*c - 168 + 36*c**2 + 1335*c.
2*(c - 4)*(c + 1)*(c + 21)
Let i = 199 - 197. Factor -114 + 114 + j**i - 4*j**2 + 6*j.
-3*j*(j - 2)
Let z(u) be the third derivative of u**6/540 + 7*u**5/90 + u**4/2 - 1310*u**2. Factor z(g).
2*g*(g + 3)*(g + 18)/9
Let b(y) be the third derivative of y**4/6 - 14*y**3/3 + 6*y**2. Let q be b(11). Solve o**2 - 4*o + q + 3*o**2 - 20*o**2 + 4*o**3 = 0 for o.
-1, 1, 4
Suppose -381 = 7*t - 3160. Let c = 1589/4 - t. Let c*v**2 + 5/4*v**3 - 3/4*v**5 - 1/2*v + 0 - 1/4*v**4 = 0. Calculate v.
-1, 0, 2/3, 1
Let g be 15162/28*40/(-252)*6. Let y = g + 516. Factor 0*f + y*f**2 - 2/7.
2*(f - 1)*(f + 1)/7
Let z be -9 - 0/(-10) - -13. Let b(v) be the third derivative of 0 + 0*v - 6*v**2 - 1/180*v**5 + 1/9*v**z - 8/9*v**3. Suppose b(d) = 0. Calculate d.
4
Let c be (-5)/6 - ((-1142)/420 - (-1698)/19810). Let 81 + c*s - 13/5*s**2 - 1/5*s**3 = 0. Calculate s.
-9, 5
Let f(m) be the first derivative of -m**4/16 - 59*m**3/12 + 200*m**2 + 25625*m + 9846. Solve f(c) = 0.
-50, 41
Find x such that 416*x + 2055*x**4 + 400 - 690*x**4 - 765*x**4 - 4*x**5 - 716*x**4 - 284*x**2 - 412*x**3 = 0.
-25, -2, -1, 1
Let h(f) be the third derivative of 8/165*f**5 + 125/1848*f**8 + 0 + 1/132*f**4 + 40/231*f**7 - 3*f + 0*f**3 - 2*f**2 + 3/22*f**6. Factor h(u).
2*u*(u + 1)*(5*u + 1)**3/11
Factor 23467349647/2 + 8589/2*n**2 + 24590307/2*n + 1/2*n**3.
(n + 2863)**3/2
Let c(w) be the third derivative of w**6/780 - 4*w**5/195 + 2*w**2 - 321. Factor c(t).
2*t**2*(t - 8)/13
Let s(r) be the second derivative of -r**5/170 - 11*r**4/102 - 10*r**3/17 - r - 736. What is i in s(i) = 0?
-6, -5, 0
Let k(n) be the first derivative of -n**4/24 + 65*n**3/3 - 259*n**2/4 + 194*n/3 + 782. Let k(r) = 0. Calculate r.
1, 388
Suppose 8 = -2*x, -2*p + 54 = 2*x - 3*x. Let o = 27 - p. Factor 9 - 3 + o + 4*k - 4*k**2.
-4*(k - 2)*(k + 1)
Let f = 554444 - 1108877/2. Let -f*g + 11/2*g**3 + 3/2 + 5/2*g**2 - 4*g**4 = 0. What is g?
-1, 3/8, 1
Suppose -15 = 10*b - 13*b. Suppose g - 20 = -h + 5, -2*g + 122 = b*h. Find i such that 13*i - 8*i - h*i**2 - 4*i**3 - 28*i - 13*i = 0.
-3, 0
Determine v so that -1/3*v**4 + 207904/3*v - 3419*v**2 - 1364224/3 + 178/3*v**3 = 0.
16, 73
Let d(g) be the second derivative of 2*g**5/5 - 7*g**4/2 - 6*g**3 - 1774*g. Factor d(f).
2*f*(f - 6)*(4*f + 3)
Find f such that -1 + 513716*f**3 - 513714*f**3 + 1 + 10*f**2 = 0.
-5, 0
Let o(j) be the second derivative of j - 1/96*j**4 - 4*j**2 - 26 + 1/3*j**3. Factor o(z).
-(z - 8)**2/8
Let x(i) be the second derivative of -8/7*i**3 - 24*i - i**2 - 5/84*i**6 - 13/21*i**5 + 29/21*i**4 + 0. Let w(m) be the first derivative of x(m). 