) + 2*p(g). Determine d, given that m(d) = 0.
0, 1/2, 2, 12
Suppose 944/17*v**3 + 0 - 6*v**4 - 2/17*v**5 + 0*v**2 + 0*v = 0. Calculate v.
-59, 0, 8
Let u(m) = 25*m + 25. Let g be u(-1). Let l be g - (-14)/(-119) - (-367)/85. Let -6/5*r - l*r**2 + 0 = 0. What is r?
-2/7, 0
Let w = 898129/15 - 59875. Find i, given that -w*i**2 + 2/15*i**3 + 0 - 2/5*i = 0.
-1, 0, 3
Let j(f) be the first derivative of f**4/30 + 52*f**3/45 - f**2/15 - 52*f/15 - 1788. Factor j(n).
2*(n - 1)*(n + 1)*(n + 26)/15
Suppose 58*d - 80 = 36. Let z(s) be the first derivative of 3/5*s**5 - 2 - 9/4*s**d + s - 7/4*s**4 + 8/3*s**3 - 1/12*s**6. Solve z(l) = 0 for l.
1, 2
Suppose 0*q + 2 = q. Let u be 17/5 - 41356/12740. Find d such that -8/13*d**q - 8/13*d + 0 - u*d**3 = 0.
-2, 0
Find s such that 2/7*s**3 + 64/7*s**2 + 38*s - 4332/7 = 0.
-19, 6
Let y(z) be the second derivative of z**7/8820 - z**6/240 - 11*z**5/840 + z**4/6 - 5*z**3 - 4*z - 1. Let l(a) be the third derivative of y(a). Solve l(i) = 0.
-1/2, 11
Suppose 2*f = 16 + 2. Factor 15*d**3 - 32*d**4 + 5*d**2 + f*d**5 + 47*d**4 - 3*d**5 - d**5.
5*d**2*(d + 1)**3
Let y(r) be the first derivative of 5 + 1/24*r**4 + 0*r**2 - 1/60*r**6 + 1/40*r**5 - 1/12*r**3 + 2*r. Let t(w) be the first derivative of y(w). Factor t(g).
-g*(g - 1)**2*(g + 1)/2
Let f(s) = -314*s - 128. Let q(i) = -i**2 + 305*i + 129. Let c(p) = 7*f(p) + 6*q(p). Determine x, given that c(x) = 0.
-61, -1/3
Let v(j) be the first derivative of 2/21*j**3 + 6/7*j**2 + 16/7*j - 140. Factor v(q).
2*(q + 2)*(q + 4)/7
Let o be 444/10 + (-102)/(-170). Let b be (-12)/15 + 126/o. Factor -6*k + 3/2*k**b + 6.
3*(k - 2)**2/2
Let c(d) be the third derivative of d**6/360 - 73*d**5/180 - 113*d**4/36 - 76*d**3/9 + 602*d**2. Factor c(r).
(r - 76)*(r + 1)*(r + 2)/3
Let a(j) be the first derivative of 2*j**3/9 + 100*j**2 + 2368*j/3 + 7343. Factor a(f).
2*(f + 4)*(f + 296)/3
Factor -26895*v**2 - 1/3*v**4 + 491/3*v**3 - 8661494/3 + 4490161/3*v.
-(v - 163)**3*(v - 2)/3
Let j(i) = 62*i**2 + 2096*i + 1524. Let r(z) = 2*z**2 - 19. Let p(s) = 2*j(s) - 60*r(s). Suppose p(t) = 0. What is t?
-1047, -1
Solve -13/2*i**4 - 86*i**2 + 53*i**3 + 0 + 12*i = 0.
0, 2/13, 2, 6
Let d(g) be the second derivative of g**4/102 - 76*g**3/51 + 1444*g**2/17 + 14*g + 11. Suppose d(c) = 0. Calculate c.
38
Solve -16320/7*h - 1256/7*h**2 - 2/7*h**4 + 120/7*h**3 - 36992/7 = 0 for h.
-4, 34
Let d(g) = -9*g**2 + 29*g + 23. Let f(p) = 47 - 8*p - 21*p**2 + 10 + 80*p. Let u(x) = 12*d(x) - 5*f(x). Factor u(m).
-3*(m + 1)*(m + 3)
Let l = -686893/149 + 4610. Let r = 176/1341 + l. Factor 5/9*o + 2/9*o**2 - 2/3*o**3 + r*o**4 - 1/3 + 1/9*o**5.
(o - 1)**3*(o + 1)*(o + 3)/9
Factor 2/11*u**2 - 590/11*u + 588/11.
2*(u - 294)*(u - 1)/11
Suppose 4*v + 50 = 2*o - v, -2*o = -4*v - 52. Let u(m) = 8*m - 238. Let s be u(o). Suppose 3/2 - 7/2*i + 2*i**s = 0. What is i?
3/4, 1
Suppose -8*j + 10*j - 65 = -o, -o = -j + 34. Factor 0*r**2 - 12 - 16*r**2 - j*r - 2*r**3 + 7*r.
-2*(r + 1)**2*(r + 6)
Find g, given that 1291969*g**2 - 183*g**4 + 2888*g**3 + 18*g**5 - 225*g**4 - 4096 - 1296769*g**2 - 10752*g = 0.
-2/3, 8
Let k be (-46)/14352*52 + -1*1/(-2). Let a(r) be the third derivative of 1/300*r**6 - k*r**3 + 0 + 11/60*r**4 - 7/150*r**5 - 11*r**2 + 0*r. Factor a(q).
2*(q - 5)*(q - 1)**2/5
Let j(m) be the second derivative of -m**5/90 + 4*m**4/27 + 524*m**3/27 + 112*m**2 - 2*m + 1570. Determine g, given that j(g) = 0.
-18, -2, 28
Let w = -77509 + 77512. Let 9/5*h**w + 0*h + 0 + 3/5*h**4 - 12/5*h**2 = 0. Calculate h.
-4, 0, 1
Let a(p) be the third derivative of -p**7/105 - 5*p**6/4 + 38*p**5/15 - 62*p**2 + 11. Factor a(c).
-2*c**2*(c - 1)*(c + 76)
Let d(v) be the second derivative of v**6/70 + 3*v**5/35 - 11*v**4/14 - 2*v**3/7 + 9*v**2/2 + 7*v + 17. Suppose d(t) = 0. Calculate t.
-7, -1, 1, 3
Let r = 1776 + -994. Let s = r + -778. Solve 3/5*o - 3/5*o**s - 6/5*o**3 - 3/5 + 3/5*o**5 + 6/5*o**2 = 0.
-1, 1
Let n(x) = -23*x**3 - 471*x**2 - 570*x + 11. Let a(m) = 12*m**3 + 236*m**2 + 284*m - 6. Let p(i) = -11*a(i) - 6*n(i). Factor p(t).
2*t*(t + 37)*(3*t + 4)
Suppose -3*r - o = -14, r + 17*o = 12*o + 14. Factor 0 - 27*b + 3*b**3 + 23*b**4 - 25*b**2 - 11*b**r - 13*b**4 - 12*b**3 - 10.
-(b + 1)**2*(b + 2)*(b + 5)
Let i(s) be the third derivative of -s**6/40 - 153*s**5/20 - 19*s**4 + 2794*s**2 - s. Determine c, given that i(c) = 0.
-152, -1, 0
Let t be (-136)/28 - (-7)/(-49). Let p(v) = 8*v**2 - 37*v + 32. Let u(l) = -15*l**2 + 75*l - 65. Let a(o) = t*p(o) - 3*u(o). Solve a(k) = 0.
1, 7
Factor -2/13*a**3 - 30/13*a - 18/13*a**2 + 50/13.
-2*(a - 1)*(a + 5)**2/13
Factor 2/11*u**2 + 0 + 52/11*u.
2*u*(u + 26)/11
Suppose 4*j + 4*m + 12 = 0, 5*j - 31*m + 57 = -43*m. Factor 1/4*a**5 - 13/4*a**j + 1/2*a**4 + 5/2*a**2 + 0*a + 0.
a**2*(a - 2)*(a - 1)*(a + 5)/4
Let p(t) = 4517*t**2 + 42660*t + 93615. Let a(s) = 1522*s**2 + 14220*s + 31205. Let z(l) = -7*a(l) + 2*p(l). Solve z(v) = 0.
-79/18
Let m(f) be the first derivative of -552/5*f**3 - 62 - 324/5*f - 4*f**5 + 648/5*f**2 + 36*f**4. Suppose m(q) = 0. Calculate q.
3/5, 3
Suppose 4*k + 2*n - n = 49, 0 = k - 4*n - 25. Let -k*g**2 - 16*g**3 - 30*g**3 + 4*g**4 - 5*g**3 = 0. What is g?
-1/4, 0, 13
Let w = 458 - 457. Let u be 1/(-1 - w - (-40)/16). Factor -2/5*x**u - 2/5 + 4/5*x.
-2*(x - 1)**2/5
Let m(o) be the second derivative of 96/5*o**3 - 1/50*o**6 - 384/5*o**2 - 9/25*o**5 + 1 + 11*o - 1/5*o**4. Find a, given that m(a) = 0.
-8, 2
Let m be 98/(-8)*(-18414)/(-587636). Let w = -6/677 - m. Let -3/8*y**3 - 3/8*y**4 + 0*y + w*y**5 + 3/8*y**2 + 0 = 0. Calculate y.
-1, 0, 1
Let h = -886 + 1056. Let s be h/56 + -2 - 38/133. Suppose 0 - 1/4*q**2 + s*q = 0. Calculate q.
0, 3
Let 531/7 + 9/7*z - 59/7*z**2 - 1/7*z**3 = 0. Calculate z.
-59, -3, 3
Let u(m) be the first derivative of -1/90*m**5 + 1/72*m**4 + 6*m**2 + 0*m + 1/18*m**3 + 19. Let k(b) be the second derivative of u(b). Solve k(s) = 0 for s.
-1/2, 1
Let n(o) = 12*o**3 - 663*o**2 - 1131*o - 457. Let y(c) = -c**2 - c + 1. Let l(v) = n(v) + y(v). Let l(t) = 0. What is t?
-1, -2/3, 57
Let i(x) be the first derivative of 3/4*x**4 - 17 + 9*x**3 - 27*x - 3/2*x**2. Let i(v) = 0. What is v?
-9, -1, 1
Let y be 3*10/90 - (-2)/3. Let c be 262 + -267 + ((-21)/(-2) - y). Factor -27/2*n + 27/2 + c*n**2 - 1/2*n**3.
-(n - 3)**3/2
Let z = -275395/12 - -22950. Let c(d) be the second derivative of 5/3*d**3 + 9*d - 20*d**2 + 0 + z*d**4. Factor c(i).
5*(i - 2)*(i + 4)
Factor -16*r**3 + 4*r**2 + r**3 - 326*r - 250*r - 14*r**3 + 31*r**3.
2*r*(r - 16)*(r + 18)
Let t = 35837 + -176481/5. Factor 208/5*f + t + 4/5*f**2.
4*(f + 26)**2/5
Let c = 30542/25 + -1220. Factor -44/25*n - c - 2/25*n**2.
-2*(n + 1)*(n + 21)/25
What is z in -337/4*z**3 - 69*z + 0 + 16*z**4 + 137*z**2 + 1/4*z**5 = 0?
-69, 0, 1, 2
Let m(l) = 4*l**2 + 51*l - 529. Let r(u) = -u**2 - u. Suppose -286*f + 288*f = 2. Let o(z) = f*m(z) + 5*r(z). Find p such that o(p) = 0.
23
Let w = 405/11 - 4949/187. Let j = 344/85 + w. Factor j - 84/5*z - 4/5*z**3 + 32/5*z**2.
-4*(z - 3)**2*(z - 2)/5
Let n(z) = 2*z**2 - 6*z - 6. Let h be n(-4). Let p = 55 - h. Factor -80*i + p*i**2 + 186 - 89 + 203 + 20.
5*(i - 8)**2
Let f be 11 - 23/(1035/420). Let b(p) be the first derivative of f*p**3 + 0*p - 5*p**4 + 0*p**2 + 14. Factor b(a).
-5*a**2*(4*a - 1)
Let x = 39577 - 39577. Determine t, given that -196/9*t**5 + 0 + 8/3*t**3 + 0*t + x*t**2 - 28/9*t**4 = 0.
-3/7, 0, 2/7
Solve 16 + 2/7*a**3 + 142/7*a + 32/7*a**2 = 0 for a.
-8, -7, -1
Determine d so that -1026 - 534 + 935*d**2 + 308*d - 155 + 15*d**3 + 395 - 3958*d = 0.
-66, -1/3, 4
Suppose -5*f - 5*l = 40, -3*l = 4*f - l + 10. Factor 0 + 4/5*s**f + 136/5*s**2 + 1156/5*s.
4*s*(s + 17)**2/5
Let w be (3 + -3)/((20 - 3) + -18). Let u(v) be the third derivative of w + 1/8*v**4 + 10*v**2 - 1/2*v**3 + 3/10*v**5 + 0*v. Factor u(s).
3*(2*s + 1)*(3*s - 1)
Let y = 14918/13 + -14910/13. What is c in 2/13*c**2 + y*c + 0 = 0?
-4, 0
Let o(l) be the first derivative of 9/8*l**4 + 7/6*l**3 - 1/12*l**6 + 0*l - 7/10*l**5 + 57 - 2*l**2. Find x, given that o(x) = 0.
-8, -1, 0, 1
Factor -203*x**2 + 163*x**2 - 148*x**3 + 19*x + 146*x**3 + 23*x.
-2*x*(x - 1)*(x + 21)
Let p(n) = 2*n**2 + n + 5. Let s(v) = -5*v**2 - 117*v - 454. Let u(g) = 10*p(g) + 5*s(g). Determine a, given that u(a) = 0.
-111, -4
Let n(y) be the third derivativ