4*p**2 + 0*p + 3 + 8/3*p**3 - 2/105*p**7 + 4/3*p**4 + 1/15*p**5 + 1/84*p**8 - 1/6*p**6. Let k(u) = 0. Calculate u.
-1, 2
Let o(u) = -19*u**2 + 281*u - 2678. Let i(g) = -6*g**2 + 94*g - 896. Let m(h) = 13*i(h) - 4*o(h). Suppose m(y) = 0. Calculate y.
13, 36
Suppose -5*i = 25, -2*i + 4442 = 4*f - 14108. Let j be 4/(-22) - f/(-6160). Let j - 24/7*d**2 - 164/7*d**3 + 22/7*d - 188/7*d**4 - 66/7*d**5 = 0. Calculate d.
-1, -2/11, 1/3
Let w(r) = -34*r**2 + 478*r - 324. Let q be w(13). Determine a, given that -5184/7*a + 2/7*a**4 - 76/7*a**3 + 6912/7 + q*a**2 = 0.
2, 12
Suppose -309279*h - 14 = -309286*h. Factor 4*v - 2/3*v**h + 14/3.
-2*(v - 7)*(v + 1)/3
Let m(c) be the third derivative of -c**6/30 + 11*c**5/5 - 263*c**4/6 + 154*c**3 - 3567*c**2. Let m(w) = 0. What is w?
1, 11, 21
Factor 3*l**2 + 20249 + 20260 + 6*l - 40518.
3*(l - 1)*(l + 3)
Let s(c) be the first derivative of c**6/10 - 6*c**5/5 - 183*c**4/10 - 372*c**3/5 - 1269*c**2/10 - 486*c/5 + 1425. Find p, given that s(p) = 0.
-3, -1, 18
Let u be (-1552)/(-5334) + (20/35)/(-2). Let p = 170/127 - u. Determine r so that -1 + p*r - 1/3*r**2 = 0.
1, 3
Let f be -2 + 16 - -1*4/1. Let m be (-25)/20 - -1 - f/(-8). Factor 13/5*s**m + 4/5 + 16/5*s + 3/5*s**3.
(s + 2)**2*(3*s + 1)/5
Let x = -1071 - -1075. Let k(m) be the second derivative of -1/80*m**5 + 0 - 3*m + 0*m**x + 0*m**2 + 0*m**3 + 1/240*m**6. Factor k(z).
z**3*(z - 2)/8
Let o(y) be the first derivative of -y**5/450 + 23*y**4/180 - 14*y**3/15 + 83*y**2/2 - 75. Let f(x) be the second derivative of o(x). Factor f(v).
-2*(v - 21)*(v - 2)/15
Suppose -5*s - 611 = 3379. Let h be s/(-36) + (-1)/6. Factor -25*q + 26*q**2 - 21*q**2 - 2 + h.
5*(q - 4)*(q - 1)
Let a be (-888)/(-63)*3 - 4/14. Suppose a = 5*f + f. Determine y so that 5 + 15*y**2 + f*y - 5*y**3 - 5 - 17*y = 0.
0, 1, 2
Let j(z) = -18*z**4 - 46*z**3 + 1116*z**2 - 2808*z + 1756. Let d(t) = 2*t**4 + 5*t**3 - 124*t**2 + 312*t - 195. Let a(u) = 52*d(u) + 6*j(u). Factor a(o).
-4*(o - 3)**2*(o - 1)*(o + 11)
Let l(s) = -2*s**3 + 15*s**2 + 7*s + 10. Let a be l(8). Find w such that 9 - 35 + 4*w**a + 26 + 5*w**5 + 15*w**4 - 24*w**2 = 0.
-2, 0, 1
Let y = -3556 + 3559. Let c(t) be the third derivative of 1/390*t**5 + 16/39*t**y + 0*t - 2/39*t**4 + 0 - 4*t**2. Determine v so that c(v) = 0.
4
Let j(u) = -u**2 + 2*u. Let g(r) = 14*r**2 - 236*r + 58. Let x(t) = -g(t) - j(t). Let b(k) = -6*k**2 + 117*k - 29. Let c(o) = -5*b(o) + 2*x(o). Factor c(q).
(q - 29)*(4*q - 1)
Suppose 4*x - 5*i = 36, 8*i - 3*i - 36 = -4*x. Suppose -4*s + 5*s = -c + 3, -x = -3*c + 2*s. Factor -42*o**3 + 27*o + 9*o**2 - 42*o**c + 69*o**3 + 3*o**4.
3*o*(o - 3)**2*(o + 1)
Suppose 21 = -4*q + 5*w + 65, 0 = -4*q + 3*w + 36. Let j(x) = -15*x**2 - 30*x - 27. Let l(k) = 32*k**2 + 60*k + 54. Let s(c) = q*l(c) + 13*j(c). Solve s(i) = 0.
-9, -1
Let k(b) be the second derivative of 125*b**7/6 + 40615*b**6/6 - 9314*b**5 + 7006*b**4/3 + 7448*b**3/3 - 1864*b**2 + 60*b - 15. Let k(s) = 0. Calculate s.
-233, -2/7, 2/5
Factor 34*i**2 - 208*i - 26*i**3 + 78*i**3 - 26*i**3 + 264 - 24*i**3.
2*(i - 3)*(i - 2)*(i + 22)
Let b(j) be the first derivative of j**6/720 + j**5/80 + j**4/24 + 44*j**3/3 + 48. Let u(i) be the third derivative of b(i). Solve u(x) = 0 for x.
-2, -1
Factor -288/5*a**2 + 0 + 28*a**3 + 2/5*a**4 + 0*a.
2*a**2*(a - 2)*(a + 72)/5
Solve 10/7*f**3 + 62/7*f**2 + 100/7*f + 48/7 = 0 for f.
-4, -6/5, -1
Let r(b) = -2*b**2 - 13*b + 2. Let n be r(-6). Factor 2*j**2 + 44 + 0*j + 40 - 24 - n*j - 6*j**2.
-4*(j - 3)*(j + 5)
Let v(n) = 150*n - 249. Let t be v(6). Let p = t + -649. Find m such that 0 + 1/7*m + 1/7*m**p = 0.
-1, 0
Let y(w) be the second derivative of -w**6/210 + 2*w**5/35 - w**4/4 + 3*w**3/7 + w - 150. Solve y(p) = 0.
0, 2, 3
Suppose 0 = -5*b - 2*x - 3338, 1022 + 981 = -3*b - x. Let l = -668 - b. Factor 0 + l*k - 2/5*k**2 + 2/15*k**3.
2*k**2*(k - 3)/15
Factor 10/9 + 13*s + 23/9*s**2.
(s + 5)*(23*s + 2)/9
Let v(s) be the first derivative of s**6/30 - s**5/10 - s**4/12 + s**3/3 - 5*s + 20. Let r(x) be the first derivative of v(x). Let r(y) = 0. Calculate y.
-1, 0, 1, 2
Suppose t + 5*v - 706 + 681 = 0, -5 = -v. Let s(u) be the third derivative of -1/60*u**6 + 1/3*u**4 + u + t - 14*u**2 - 1/15*u**5 + 8/3*u**3. Factor s(h).
-2*(h - 2)*(h + 2)**2
Let c be ((-123)/108 - -1)/((-20)/80). Factor -c*t + 1/9*t**2 - 2/3.
(t - 6)*(t + 1)/9
Let i = 71 + -69. Suppose 38*g + 8 - i*g**2 - 90*g + 46*g = 0. What is g?
-4, 1
Let w(d) = -d**4 - 17*d**3 - 20*d**2 - 6. Let g(t) = -15*t**4 - 222*t**3 - 261*t**2 - 81. Let b(o) = 2*g(o) - 27*w(o). Suppose b(y) = 0. What is y?
-1, 0, 6
Let a be ((-36)/99)/(2/(-11)). Suppose -a*k - 2 = -2*t + 2, 4 = 3*t - 5*k. What is z in -129*z**2 - 56 + 27*z**2 - 48*z - 8*z**t + 26*z**3 - 112*z = 0?
-2/3, 7
Let f = 245 + -243. Let -147*n + 1319*n**2 + 2 - 1316*n**f - 2 = 0. Calculate n.
0, 49
Factor 1603549 - 5*z**2 - 1603549 - 45*z.
-5*z*(z + 9)
Suppose 713*m + 4*k = 716*m - 30, 24 = -4*k. Solve 37/3*c**4 + 35/3*c**m - 59/3*c**3 - 2*c + 0 - 7/3*c**5 = 0 for c.
0, 2/7, 1, 3
Let s(x) be the third derivative of -1/210*x**5 + 9*x**2 + 0 + 0*x**3 + 19/84*x**4 - x. Factor s(h).
-2*h*(h - 19)/7
Let z(g) be the first derivative of -g**3 + 18*g**2 - 33*g + 2526. Factor z(t).
-3*(t - 11)*(t - 1)
Suppose -2*k + 36 = -5*r, 50*k - 54*k - 2*r = 0. Let x(a) be the first derivative of -k - 5*a**2 + 0*a - 5/3*a**3. Factor x(m).
-5*m*(m + 2)
Suppose -812 + 8*n + 88*n - 100*n**2 - 30*n**3 + n**5 + 29*n + 812 + 4*n**4 = 0. Calculate n.
-5, 0, 1, 5
Suppose -20 = 2*i - 2*m, -4*m - 345 = -2*i - 389. What is q in -578/3*q + 9826/9 + 34/3*q**i - 2/9*q**3 = 0?
17
Let l = 3084/33943 + 3/373. Let i = 109/182 - l. Determine a, given that 0 - i*a + 1/2*a**2 = 0.
0, 1
Let v(d) = -4*d - 17. Let t be v(-5). Suppose 0 = 5*j - f + 3*f - 2, -t*j = 3*f + 6. Factor 8 - 3*g**2 - 2*g**2 - 10*g + 7*g**j.
2*(g - 4)*(g - 1)
Let t(o) be the second derivative of 2*o**7/21 - 4*o**5/5 - 2*o**4/3 + 2*o**3 + 4*o**2 - 1917*o. Solve t(s) = 0.
-1, 1, 2
Suppose 8679/7*m**2 + 24212815957/7 + 1/7*m**3 + 25108347/7*m = 0. Calculate m.
-2893
Factor 531237*z**2 - 617633 - 265618*z**2 - 265620*z**2 - 1328*z + 176737.
-(z + 664)**2
Let l(u) = -248*u - 112. Let n be l(4). Let c = n - -12146/11. Factor -4/11*b - c - 2/11*b**2.
-2*(b + 1)**2/11
Suppose 0*d**5 + d**5 - 116 + 94 - 94 - 159 + 85*d + 274*d**2 + d**4 - 86*d**3 = 0. Calculate d.
-11, -1, 1, 5
Let i(p) be the third derivative of p**6/1440 + 19*p**5/720 + 35*p**4/288 + 17*p**3/72 - 1619*p**2. Factor i(q).
(q + 1)**2*(q + 17)/12
Let q(t) = t**3 + 13*t**2 - 16*t - 26. Let g be q(-14). Suppose 5*u + r = 180, -g*u + 12 + 60 = 5*r. Solve u*a**2 + 35*a**2 - 2*a**4 - 67*a**2 - 2 = 0.
-1, 1
Let r be (10/4)/(((-1890)/147 + 13)*140/12). Factor 3/4*x**2 - r*x + 3/4*x**3 + 0.
3*x*(x - 1)*(x + 2)/4
Let p(f) = 4*f - 84. Let l be p(20). Let n be (-4 + 10)/(2/(-2) - l). Factor -9/7 + 3/7*d**n - 6/7*d.
3*(d - 3)*(d + 1)/7
Let u(n) be the second derivative of 0*n**4 + 1/12*n**5 - 20*n + 0 - 2*n**2 - 10/9*n**3 + 1/72*n**6. Let b(w) be the first derivative of u(w). Solve b(r) = 0.
-2, 1
Let a = 617313/4 - 617223/4. Let -4/3 + a*f**2 - 13*f = 0. What is f?
-4/45, 2/3
Suppose 0 = 17*b - 45*b + 3724. Let -59*a**2 - 462*a - 10*a**3 + 14*a**2 - b*a**2 - 676 - 1332*a - 86*a**2 = 0. Calculate a.
-13, -2/5
Let q(p) be the second derivative of -28*p**7/33 - 56*p**6/33 - 93*p**5/110 - 3*p**4/22 + 2063*p - 2. Determine y so that q(y) = 0.
-1, -3/14, 0
Determine x, given that -63*x**2 + 446953*x**3 - 446954*x**3 - 154*x**2 = 0.
-217, 0
Suppose z - 90 = -29*z. Factor 218 + 156 - 48*l + z*l**2 - 329.
3*(l - 15)*(l - 1)
Suppose 5*n = -670 + 705. Let x be (-3)/n + 136/56. Factor 0 - 1/3*t**x - 5/3*t.
-t*(t + 5)/3
Suppose -4*a + 3*m + 30 = 5*a, 0 = 5*a - 3*m - 30. Find o such that -3/7*o**2 - 1/7*o**3 + a - 2/7*o = 0.
-2, -1, 0
Let j = -627149/7 + 89593. Factor 6/7*m**2 - j*m**3 + 0 + 8/7*m.
-2*m*(m - 4)*(m + 1)/7
Let u be ((-26)/42 + (-1148)/12054)*21/(-2). Let u + 1/2*f**2 + 8*f = 0. Calculate f.
-15, -1
Let o(b) be the first derivative of b**3/3 + 3*b**2 - 135*b - 7051. What is t in o(t) = 0?
-15, 9
Let t(y) be the third derivative of 5/12*y**5 - 1/24*y**6 - 85*y**2 - 5/6*y**4 + 0*y + 0*y**3 + 0. Suppose t(w) = 0. What is w?
0, 1, 4
Factor 624 + 240*q + 4*q**3 + 69*