/(-11). Find q, given that 26*q**2 + 1/4 + 84*q**4 - 70*q**3 - 17/4*q - s*q**5 = 0.
1/6, 1/2, 1
Suppose v + 2*n = -2, -4*v - 33*n + 36*n + 36 = 0. Let z(s) be the first derivative of -v*s**2 - 8*s + 4/3*s**3 + 3*s**4 - 6 + 4/5*s**5. Factor z(i).
4*(i - 1)*(i + 1)**2*(i + 2)
Factor 41600*o - 6707*o**2 - 128000 - 7528768*o**3 + 1727*o**2 - 5*o**4 + 7529028*o**3.
-5*(o - 16)**2*(o - 10)**2
Let s(f) be the second derivative of -1/4*f**5 + 0 + 25*f**2 - 85/6*f**3 + 82*f + 10/3*f**4. Find i, given that s(i) = 0.
1, 2, 5
Let i be (-123)/(-3) + (-25947)/651. Let 4/7*t**2 + i*t + 0 = 0. Calculate t.
-2, 0
Suppose -j + 4 = j. Let n(h) = -2*h**3 - 29*h**2 - 13*h + 19. Let i be n(-14). Determine s so that -22 - i*s**j - 16 + 8 + 5*s - 30*s = 0.
-3, -2
Suppose 123*o = 152 - 11 + 105. Let f(n) be the third derivative of 0 - 1/10*n**5 + 0*n + 32*n**o + 1/6*n**4 + 4/3*n**3 + 1/210*n**7 - 1/120*n**6. Factor f(r).
(r - 2)**2*(r + 1)*(r + 2)
Let y(q) be the first derivative of -32*q**2 - 4/5*q**5 + 112 + 0*q**4 + 16*q**3 + 0*q. Factor y(r).
-4*r*(r - 2)**2*(r + 4)
Suppose 0 = -138*t + 73 + 268 + 150 + 61. Determine d so that -2/9*d**5 - 12288 - 4040/9*d**3 - 152/9*d**t - 13824*d - 4672*d**2 = 0.
-24, -2
Let m(l) be the first derivative of 3*l**4/32 - 841*l**3/4 + 2121843*l**2/16 + 8544. Factor m(i).
3*i*(i - 841)**2/8
Let z(a) be the third derivative of 5/78*a**5 + 1/1365*a**7 + 0*a + 0*a**4 - 22 + 1/78*a**6 + 0*a**3 + a**2. Suppose z(t) = 0. Calculate t.
-5, 0
Let r(p) be the third derivative of -p**6/480 - 7*p**5/160 + p**4/4 - 53*p**3 - 6*p**2 + 18. Let j(t) be the first derivative of r(t). Solve j(v) = 0 for v.
-8, 1
Let c(d) = -24*d**2 + d - 2. Let g(s) = 21*s**2 + 7601*s - 4815865. Let z(j) = -c(j) - g(j). Factor z(p).
3*(p - 1267)**2
Factor -33/2*b**3 + 15*b**2 + 63/2*b + 0.
-3*b*(b + 1)*(11*b - 21)/2
Suppose -363 = -5*f - 343. Let a = 109 + -104. Let 10/3*w**2 + 1/3 - 5/3*w + 5/3*w**f - 10/3*w**3 - 1/3*w**a = 0. What is w?
1
Let z(j) be the second derivative of -2*j**4 + 5*j**3 + 3*j**2/2 + 4*j - 2. Let m(g) = -g**3 + 49*g**2 - 58*g - 5. Let d(a) = 3*m(a) + 5*z(a). Factor d(o).
-3*o*(o - 8)*(o - 1)
Let h(n) be the second derivative of n**4/3 + 3484*n**3/3 + 1517282*n**2 - 469*n - 2. Factor h(a).
4*(a + 871)**2
Let q(i) be the second derivative of i**7/504 + i**6/72 + i**5/24 - i**4 + 45*i. Let j(c) be the third derivative of q(c). Factor j(x).
5*(x + 1)**2
Let h be (-50)/250 + (-32)/(-10). Find r such that -10*r**2 - r**2 + 12*r**2 + 3*r + 3*r**2 - 34*r**2 - 3*r**h + 30 = 0.
-10, -1, 1
Let j = -289408 + 289410. Determine o, given that -1/10*o**j - 841/10 - 29/5*o = 0.
-29
Find o such that 78*o + 1/4*o**2 - 313/4 = 0.
-313, 1
Let m(t) be the second derivative of -t**6/15 + 21*t**5/10 - 49*t**4/2 + 343*t**3/3 + 4*t - 82. Determine s so that m(s) = 0.
0, 7
Let u(s) be the first derivative of 24 - 3/40*s**5 - 243/8*s - 3/2*s**4 + 27*s**2 - 23/4*s**3. Let u(c) = 0. What is c?
-9, 1
Let f(p) = -2*p**3 - 14*p**2 - 20*p + 24. Let x = 658 + -656. Let s(k) = -2*k**3 - k**2 - k - 2. Let m(q) = x*s(q) - f(q). Determine r so that m(r) = 0.
-2, 1, 7
Let q(n) be the first derivative of 0*n + 10*n**3 + 104 + 0*n**2 - 15/2*n**6 + 115/4*n**4 - 20*n**5. Determine u, given that q(u) = 0.
-3, -2/9, 0, 1
Let t(b) be the second derivative of -13*b**3/6 - 505*b**2/2 - 356*b. Let z be t(-39). Factor -1 - 1/6*v**z + 7/6*v.
-(v - 6)*(v - 1)/6
Let w = 166009/70 - 23647/10. Factor 2/7*i**2 - 50/7*i + w.
2*(i - 24)*(i - 1)/7
Let n(l) be the first derivative of 5/3*l**3 - 75*l - 35*l**2 + 71. Factor n(c).
5*(c - 15)*(c + 1)
Suppose 10925*n**2 + 74*n**3 - 21950*n**2 + 10817*n**2 + 36*n + 100*n - 2*n**4 = 0. Calculate n.
0, 1, 2, 34
Let b(p) be the first derivative of -p**5/10 - 9*p**4/8 - 7*p**3/6 + 9*p**2/4 + 4*p + 3363. Determine h so that b(h) = 0.
-8, -1, 1
Suppose 1/2*a**4 + 0 + 0*a - 1/2*a**3 - a**2 = 0. Calculate a.
-1, 0, 2
Let v be -1611*(-32)/(-2592) + 21. Factor 20/9 - 46/9*s - v*s**2.
-2*(s + 5)*(5*s - 2)/9
Let q(i) be the second derivative of 7*i**6/75 + 23*i**5/25 - 77*i**4/30 + 8*i**3/5 - 44*i + 31. Solve q(s) = 0 for s.
-8, 0, 3/7, 1
Let k be 5 + 3 + (-5 - (-5 + 5)). Let t = 83/14 - 10/7. Find m such that -m - t*m**2 + 0 - 7/2*m**k = 0.
-1, -2/7, 0
Determine x so that -1144 + 2432*x**2 - 2428*x**2 + 74*x - 14*x = 0.
-26, 11
Let s(g) be the third derivative of g**7/42 + g**6/12 - g**5/4 - 2903*g**2. Solve s(n) = 0 for n.
-3, 0, 1
Let l(h) be the second derivative of 1/180*h**5 + 16*h - 1/12*h**4 + 0 - 7/18*h**3 + 39/2*h**2. Let t(z) be the first derivative of l(z). Factor t(s).
(s - 7)*(s + 1)/3
Let v(b) be the second derivative of 7*b**5/10 - 2*b**4 - 172*b**3/3 - 48*b**2 - 15*b + 5. Find h, given that v(h) = 0.
-4, -2/7, 6
Let r(f) be the first derivative of -27/11*f**2 - 45/11*f**3 - 12*f + 7 - 75/22*f**4 - 25/22*f**5. Let c(d) be the first derivative of r(d). Factor c(l).
-2*(5*l + 3)**3/11
Suppose 227*s - 14*s + 235 - 661 = 0. Solve -4/3*a**s - 4/3 + 8/3*a = 0.
1
Let x(y) = 18*y**3 + 79*y**2 - 267*y + 104. Let w(o) = 63*o**3 + 276*o**2 - 933*o + 366. Let f(q) = 5*w(q) - 18*x(q). Factor f(h).
-3*(h - 2)*(h + 7)*(3*h - 1)
Let z(n) be the first derivative of -n**4/4 - 4*n**3 + 61*n**2/2 - 48*n - 175. Factor z(u).
-(u - 3)*(u - 1)*(u + 16)
Determine p so that -7 + 4/5*p**3 - 6*p**2 + 1/5*p**4 - 68/5*p = 0.
-7, -1, 5
Let s(j) be the third derivative of 0 + 1/840*j**8 - 30*j**2 + 1/20*j**6 + 8/525*j**7 - 4/75*j**5 + 0*j**3 - 4/15*j**4 + 2*j. Find r such that s(r) = 0.
-4, -1, 0, 1
Let x(r) be the second derivative of -2*r**7/7 + 22*r**6/15 + 170*r**5 - 478*r**4 - 123838*r**3/3 - 40898*r**2 + 1970*r. Solve x(c) = 0.
-11, -1/3, 13
Let x(i) be the second derivative of -i**7/105 - 73*i**6/75 - 1989*i**5/50 - 23987*i**4/30 - 108086*i**3/15 + 10817*i. Let x(a) = 0. Calculate a.
-22, -17, 0
Let n(w) = w**2 - 19*w + 20. Let d be n(19). Solve -79 - 4*b**4 + 4*b**5 + 23*b + 20*b**2 - 7*b - d*b**3 + 25 + 38 = 0 for b.
-2, -1, 1, 2
Let o(k) be the second derivative of k**4/12 + 3*k**3/2 - 3754*k + 1. Solve o(u) = 0.
-9, 0
Let y(j) = -j**4 + j**3 - 5*j. Let i(c) = -5*c**4 - 9*c**3 + 77*c**2 - 183*c + 90. Let t(b) = -5*i(b) + 30*y(b). Suppose t(h) = 0. What is h?
1, 3, 5, 6
Factor 2/11*f**3 + 202/11*f**2 + 398/11*f + 18.
2*(f + 1)**2*(f + 99)/11
Let d(h) be the second derivative of -6*h**3 - 10*h**2 - 3/5*h**5 + 2 - 13*h + 17/3*h**4. Factor d(g).
-4*(g - 5)*(g - 1)*(3*g + 1)
Let g be 25*((-264)/1204)/6. Let y = 16/43 - g. Factor 3/7*r + y*r**2 + 6/7*r**3 + 0.
3*r*(r + 1)*(2*r + 1)/7
Solve 110*v - 3/8*v**3 + 0 + 659/4*v**2 = 0 for v.
-2/3, 0, 440
Suppose -160 = -43*m - 37*m. Suppose 5*b - 8*b = 2*t - 4, 20 = 3*b - m*t. Find c, given that -7/3*c**3 + b*c + 3*c**2 - 4/3 = 0.
-1, 2/7, 2
Let g(c) be the first derivative of 8/39*c**3 + 2/13*c + 46 + 5/13*c**2. Let g(q) = 0. What is q?
-1, -1/4
Let s(a) be the third derivative of a**8/588 + 47*a**7/1470 + 29*a**6/840 - 47*a**5/420 - 11*a**4/56 - a**2 - 700*a. What is k in s(k) = 0?
-11, -1, -3/4, 0, 1
Let n be -1*(-16 - -15)*(21 - -2). Suppose 0 = -r + 3*v + 12, 3*v = -2*r + 2*v + 3. Determine g so that 115*g**2 - r + n - 120*g**2 = 0.
-2, 2
Factor -1/3*o**3 - 203/3 - 407/3*o - 205/3*o**2.
-(o + 1)**2*(o + 203)/3
Suppose -230*l**3 + 3*l**4 - 173*l**3 - 4221*l + 11948*l**2 - 8978 + 236*l**2 + 1415*l**2 = 0. Calculate l.
-2/3, 1, 67
Let p(m) be the second derivative of -m**5/10 - 574*m**4/3 - 329476*m**3/3 - 33*m + 2. Let p(a) = 0. Calculate a.
-574, 0
Let m(a) = a**2 + 2*a + 185. Let d be m(0). Suppose -5*i - 6*b + b + d = 0, -3*i + b + 115 = 0. Factor -61 + 21 - 5*z**2 - i*z + 8*z.
-5*(z + 2)*(z + 4)
Let d be -6*(3/9 - 116/24). Suppose -52 = -5*s - d. Solve 25/2*r**2 + 0 + 5*r + s*r**3 = 0.
-2, -1/2, 0
Let h be ((114 - 128) + 2*10)/4. Determine f so that 0 + 1/2*f + 5/2*f**2 + h*f**4 + 7/2*f**3 = 0.
-1, -1/3, 0
Let r(f) be the second derivative of 0 - 19*f - 7/30*f**3 + 7/100*f**5 + 1/5*f**2 - 1/30*f**4. Let r(o) = 0. What is o?
-1, 2/7, 1
Let j(f) = 9*f**3 + 96*f**2 + 543*f + 468. Let k(q) = 8*q**3 + 93*q**2 + 542*q + 467. Let z(n) = -5*j(n) + 6*k(n). Factor z(c).
3*(c + 1)*(c + 11)*(c + 14)
Let v be ((-4)/(-108))/(2/6). Let k = 24883/3 - 74647/9. Factor v*j**5 + 2/9*j**2 + k + 4/9*j**3 - 5/9*j - 4/9*j**4.
(j - 2)*(j - 1)**3*(j + 1)/9
L