ve of -w**5/570 - 93*w**2 - 3. Solve t(s) = 0.
0
Let n be (-365)/(-25) + (-7 - -183)/(-16). Let q(g) be the second derivative of n*g**2 + 0 - 19*g + 2/5*g**3 + 1/60*g**4. Suppose q(f) = 0. Calculate f.
-6
Determine k so that 0 - 5/3*k**5 - 10/3*k**4 + 40/3*k**2 - 160/3*k + 20*k**3 = 0.
-4, -2, 0, 2
Solve -9/2*a**3 + 69/2*a - 33/2 + 93/2*a**2 = 0 for a.
-1, 1/3, 11
Let d be (-300)/350 + 29/(-7) + 8. Suppose 44/5*z + 8 + 1/5*z**d + 14/5*z**2 = 0. What is z?
-10, -2
Let j(k) be the third derivative of 2/45*k**6 + 0*k**4 + 0*k**3 + 137*k**2 + 0*k + 0 - 8/15*k**5 - 1/945*k**7. Factor j(o).
-2*o**2*(o - 12)**2/9
Let h(t) be the third derivative of t**6/24 - t**5/3 - 35*t**4/24 + 25*t**3/3 - 1613*t**2. Let h(s) = 0. Calculate s.
-2, 1, 5
Let k(s) be the first derivative of -s**6/840 + 2*s**5/21 + 83*s**4/168 + s**3 + s**2 - 2*s - 60. Let g(u) be the second derivative of k(u). Factor g(l).
-(l - 42)*(l + 1)**2/7
Let m = -113102 - -113105. Suppose 6/7*h**m + 0*h + 0 + 4/7*h**2 + 2/7*h**4 = 0. What is h?
-2, -1, 0
Suppose 4*u**2 - 2*u**2 + 1128 - 22293*u - 22234*u + 44237*u = 0. Calculate u.
4, 141
Suppose -4*h = 5*b + 7, -h + 195*b - 191*b + 14 = 0. Solve h*r - 1/5*r**2 - 5 = 0.
5
Let m = 480875 + -480873. Factor -2*q**m - 46/7*q - 12/7.
-2*(q + 3)*(7*q + 2)/7
Let j be 32/112*47 - (-39)/(-15)*5. Let n = -61 + 436/7. Determine y so that 0*y + j*y**5 + n*y**4 - 3*y**2 + 12/7 - 3/7*y**3 = 0.
-2, -1, 1
Let a(m) be the third derivative of 0*m**3 + 0*m + 1/1785*m**7 + 120*m**2 - 1/2856*m**8 - 1/510*m**5 - 1/34*m**4 + 7/1020*m**6 + 0. Let a(i) = 0. Calculate i.
-2, -1, 0, 1, 3
Suppose 2*x - 1177 + 1139 = 0. Factor 8*q**2 - 10*q**2 + q**5 - x*q - 11*q**3 - 5*q**4 - 15*q**4 + 29*q**3 + 22*q**2.
q*(q - 19)*(q - 1)**2*(q + 1)
Let h be (67/(-7) + 7)/(2/(-14)). What is r in 570*r**2 + 454*r - 1037*r - 4802 - h*r**3 - 3631*r = 0?
-1, 49/3
Let m(a) be the second derivative of 98*a + 1/18*a**3 + 1/12*a**4 - 1/60*a**5 - 1/2*a**2 + 0. Factor m(r).
-(r - 3)*(r - 1)*(r + 1)/3
Suppose 0 = -30*q + 27*q + 12. Let 5*s**q + 6*s**2 - 3*s**2 - 5*s**5 - 7*s**3 + 3*s**5 + s**5 = 0. Calculate s.
0, 1, 3
Let j(v) be the second derivative of -v**5/40 + 35*v**4/8 - 58*v**3 + 245*v**2 - 4313*v. Solve j(w) = 0.
2, 5, 98
Suppose -1647/5*c**2 - 426/5*c**3 - 1824/5*c - 612/5 + 9/5*c**4 = 0. Calculate c.
-2, -1, -2/3, 51
Let u(z) be the first derivative of -z**4/60 + 2*z**3/15 + z**2/2 + 145*z - 238. Let b(a) be the first derivative of u(a). Factor b(c).
-(c - 5)*(c + 1)/5
Let h = -113 - 40. Let w = -51 - h. Factor w + 2*q**2 + 28*q + 77 - 81.
2*(q + 7)**2
Let r(g) = -50*g**3 - 1360*g**2 + 5108*g - 4562. Let c(n) = n**3 - 3*n + 3. Let b(p) = -36*c(p) - 2*r(p). Suppose b(v) = 0. Calculate v.
-46, 7/4
Let k(o) be the first derivative of 29*o**4/4 - 164*o**3/3 + 241*o**2/2 - 106*o + 8616. Factor k(d).
(d - 1)**2*(29*d - 106)
Let k(l) be the second derivative of -6*l**7/35 - 16*l**6/5 - 457*l**5/25 - 302*l**4/15 + 248*l**3/5 - 144*l**2/5 + 4017*l. Suppose k(x) = 0. Calculate x.
-6, -2, 1/3
Let x(b) be the second derivative of 8*b**5/5 + 4076*b**4/3 + 4073*b**3/3 + 509*b**2 - 798*b. Let x(q) = 0. Calculate q.
-509, -1/4
Let b(u) be the first derivative of -128 - 34/15*u**2 + 22/5*u + 2/45*u**3. Factor b(k).
2*(k - 33)*(k - 1)/15
Let i(g) = -2*g**5 - 26*g**4 - 27*g**3 + 91*g**2 + 115*g + 48. Suppose 5*a + 435 = 425. Let t(c) = c**3 - c**2 + c. Let p(k) = a*i(k) - 18*t(k). Factor p(h).
4*(h - 2)*(h + 1)**3*(h + 12)
Let n(f) be the third derivative of f**6/24 + 17*f**5/12 + 155*f**4/24 + 25*f**3/2 - 1064*f**2. Factor n(b).
5*(b + 1)**2*(b + 15)
Determine f so that 523900/11*f + 549250/11 - 2/11*f**4 - 24960/11*f**2 + 388/11*f**3 = 0.
-1, 65
Let d = -1029 + 989. Let h be (d/(-28))/(100/280). What is r in -136/7*r**h - 10/7*r**5 - 24/7*r + 144/7 - 596/7*r**2 - 554/7*r**3 = 0?
-6, -1, 2/5
Factor -4/5*w**5 + 8/5*w**4 + 0 + 0*w**3 + 4/5*w - 8/5*w**2.
-4*w*(w - 1)**3*(w + 1)/5
Suppose -13*x = 1583 - 1687. Let f(a) be the first derivative of -2/45*a**3 + 1/15*a**2 + x + 0*a. Suppose f(b) = 0. What is b?
0, 1
Let f(d) be the second derivative of -3*d**5/40 + 11*d**4/8 - 6*d**3 - 27*d**2 - 8*d - 3. Factor f(t).
-3*(t - 6)**2*(t + 1)/2
Let a be 96/(-544)*731/(-301). Suppose 0 + 3/7*s + 6/7*s**2 + a*s**3 = 0. Calculate s.
-1, 0
Let z = -16141 - -16147. Let b(t) be the first derivative of -1/16*t**4 - 3/2*t**2 - t + 4 - 11/12*t**3 + 3/20*t**5 + 1/24*t**z. Determine p so that b(p) = 0.
-2, -1, 2
Suppose -6 = -29*f + 52. Let m(y) be the second derivative of 5/36*y**3 + f*y + 5/36*y**4 + 0*y**2 + 0*y**5 + 0 - 5/252*y**7 - 1/18*y**6. Solve m(x) = 0.
-1, 0, 1
Let b(f) = -94*f**2 - 1558*f + 238. Let l(w) = -222*w**2 - 3117*w + 475. Let j(t) = -10*b(t) + 4*l(t). Suppose j(g) = 0. What is g?
-60, 2/13
Let g(j) be the third derivative of -j**7/9660 + j**6/690 - 3*j**5/460 + j**4/69 - 62*j**3/3 - 69*j**2. Let m(k) be the first derivative of g(k). Factor m(x).
-2*(x - 4)*(x - 1)**2/23
Let g(q) be the first derivative of 5*q**4/22 - 2*q**3 - 314*q**2/11 - 240*q/11 + 127. Solve g(u) = 0.
-5, -2/5, 12
Let z(o) = -o**3 + 9*o**2 - 19*o - 3. Let u be z(5). Solve -289*f**2 - 9*f - 12 - 293*f**u + 585*f**2 = 0.
-1, 4
Let b(p) be the first derivative of -2*p**6/3 + 52*p**5/7 - 144*p**4/7 + 32*p**3/21 + 352*p**2/7 - 192*p/7 + 13203. Suppose b(n) = 0. What is n?
-1, 2/7, 2, 6
Factor -22*x**3 - 25*x**3 + 2866*x**2 - 2974*x**2 - 5*x**4.
-x**2*(x + 4)*(5*x + 27)
Let t be (1 - -19)/(-11 + 10). Let u(d) = d**2 + 21*d + 25. Let j be u(t). Factor j*k - 5*k**2 + 2*k + 33*k - 80.
-5*(k - 4)**2
Let k(w) = -3607*w**3 - 28927*w**2 - 954*w - 22. Let j(a) = a**3 + a**2 - a + 2. Let f(m) = 14*j(m) + 2*k(m). What is x in f(x) = 0?
-8, -1/60
Factor 32*x**2 + 1092*x + 1919253 - 1919253 - 4*x**3.
-4*x*(x - 21)*(x + 13)
Let r(m) be the third derivative of -m**7/420 + 4*m**6/15 + 11*m**5/20 - 4*m**4/3 - 65*m**3/12 - 9*m**2 + 9*m + 6. Solve r(q) = 0.
-1, 1, 65
Let i be (8934/7)/((-31)/(-1085)). Factor i - 87827 - 132459 + 2*h**3 - h**3 + 9408*h - 168*h**2.
(h - 56)**3
Let f = -97 - -103. Find y such that 95 + 0*y**4 + 8*y**3 - 120*y**2 + 21*y**3 + f*y**3 - 60*y - 15 + 15*y**4 = 0.
-4, -1, 2/3, 2
Let a(f) = -4*f - 1. Let r be a(-4). Factor -169*s**2 + 48*s + 95*s**2 + 83*s**2 + r.
3*(s + 5)*(3*s + 1)
Let i(t) = -10*t**2 + 6*t + 72. Suppose -615 = -3*u - 594. Let y(a) = 7*a**2 - 4*a - 48. Let x(p) = u*y(p) + 5*i(p). Suppose x(g) = 0. What is g?
-4, 6
Let m = -46 + 48. Factor -132*p**m + 84*p**3 - 166*p**3 - 72*p + 90*p**3 + 68.
4*(p - 17)*(p + 1)*(2*p - 1)
Suppose 3*v - 8*m + 51 = -5*m, 4*v = -2*m - 38. Let s be (v/(-16))/(12/40). Factor -s*l**2 - 5 - 15/2*l.
-5*(l + 1)*(l + 2)/2
Factor -1/4*u**3 - 7/4*u**2 + 209/4*u + 1815/4.
-(u - 15)*(u + 11)**2/4
Suppose 4*q = 5*z + 1 - 33, 16*z - 132 = -2*q. Factor -14 - 1/3*l**3 - 6*l**q + 61/3*l.
-(l - 2)*(l - 1)*(l + 21)/3
Factor 1/7*l**3 - 60/7*l + 800/7 - 12/7*l**2.
(l - 10)**2*(l + 8)/7
Let s = 300 + -295. Factor -57*v**2 - 16*v - s - 39*v + 7*v**2.
-5*(v + 1)*(10*v + 1)
Let a(m) be the third derivative of 20*m**2 + 7/30*m**3 + 0 + 2*m - 1/60*m**4 - 1/60*m**5. Determine r so that a(r) = 0.
-7/5, 1
Let q(c) be the second derivative of -1/3*c**6 - 1/21*c**7 + 0*c**2 - 2*c + 0*c**3 - 2/3*c**4 - 4/5*c**5 - 3. Solve q(y) = 0.
-2, -1, 0
Let k(a) be the third derivative of -a**7/630 + 31*a**6/90 + 21*a**5/10 - 49*a**4/4 - 8*a**2 + 2*a. Let o(q) be the second derivative of k(q). Factor o(u).
-4*(u - 63)*(u + 1)
Let q(k) be the third derivative of -13*k**2 - 1/150*k**5 - 8/15*k**4 - 2*k - 256/15*k**3 + 0. Suppose q(m) = 0. What is m?
-16
Factor 44/13*u**3 + 6/13*u**4 + 0 + 64/13*u**2 - 64/13*u.
2*u*(u + 4)**2*(3*u - 2)/13
Let r = 19 + -43. Let c be ((-11)/33)/(2/r). Factor 37*k**4 - 78*k**c + 3*k**2 + 38*k**4.
-3*k**2*(k - 1)*(k + 1)
Solve 0 - 131/4*t - 1/4*t**2 = 0.
-131, 0
Factor 77 + 207/4*o**2 + 565/4*o - 49/4*o**3 + 1/4*o**4.
(o - 44)*(o - 7)*(o + 1)**2/4
Factor -4442*j**2 + 8892*j**2 - 4454*j**2 - 192 + 104*j.
-4*(j - 24)*(j - 2)
Let p be (162/14)/(-3*7/1498). Let m = -825 - p. Determine v so that -6/7*v**3 - m*v**4 + 6/7*v + 0*v**2 + 3/7 = 0.
-1, 1
Let -1/2*q**3 + 0 + 0*q + 74*q**2 = 0. Calculate q.
0, 148
Let k(n) = 17 + 0 + 12*n - 8 + 5. Let h be k(-1). Find o, given that -2/9*o**h - 2/9 + 4/9*o = 0.
1
Let