t(7). Determine z, given that -22*z**3 + 10*z**2 + z**d + 35*z**3 - 10*z**3 - 6*z**4 = 0.
-1, 0, 2, 5
Let l(v) be the second derivative of -v**4/78 + 1048*v**3/39 - 274576*v**2/13 - 190*v + 1. Factor l(i).
-2*(i - 524)**2/13
Solve -123201 + 1/2*w**3 + 124605/2*w - 352*w**2 = 0 for w.
2, 351
Let l = -78299/11 - -7123. Let r(m) be the first derivative of 7 + 2/55*m**5 + 24/11*m**3 + 54/11*m + 5/11*m**4 + l*m**2. Factor r(d).
2*(d + 1)*(d + 3)**3/11
Let f = -1046 + 1046. Let j(o) be the third derivative of 1/8*o**5 + 0*o + 0 + f*o**3 - 3/8*o**4 - 3*o**2 - 1/80*o**6. Find a such that j(a) = 0.
0, 2, 3
Let i(u) be the first derivative of 122 - 3/7*u**4 + 17/7*u**3 - 27*u + 9/7*u**2. Factor i(o).
-3*(o - 3)**2*(4*o + 7)/7
Let l(p) be the second derivative of p**6/480 - 7*p**5/80 - p**3/6 + 111*p**2 - 5*p. Let v(t) be the second derivative of l(t). Factor v(y).
3*y*(y - 14)/4
Let u(c) be the third derivative of c**7/70 + 4*c**6/5 - 537*c**5/20 + 531*c**4/2 - 810*c**3 - 2*c**2 + 2222*c + 2. Factor u(n).
3*(n - 6)**2*(n - 1)*(n + 45)
Let z be ((-2)/1874)/((-68)/204). Let u = z + 3739/2811. Suppose -2*f**3 - 1/3*f - u*f**2 - 4/3*f**4 - 1/3*f**5 + 0 = 0. What is f?
-1, 0
Let c(p) be the first derivative of -2*p**3/3 + 5108*p**2 - 13045832*p - 1811. Let c(d) = 0. Calculate d.
2554
Let w = 33291 - 133153/4. Factor -3 - w*m - 1/4*m**4 + 13/4*m**2 + 11/4*m**3.
-(m - 12)*(m - 1)*(m + 1)**2/4
Factor -2/3*b**2 - 62424 + 408*b.
-2*(b - 306)**2/3
Let f be ((-88)/20)/((-7)/(-770)). Let h = f + 487. Factor 0*l**2 + 0 + 0*l**4 - 4/3*l**5 + 8/3*l**h - 4/3*l.
-4*l*(l - 1)**2*(l + 1)**2/3
Let s(j) = -366*j**2 + 77*j + 533. Let o(x) = 73*x**2 + x - 1. Let d(g) = 10*o(g) + 2*s(g). Factor d(r).
-2*(r - 88)*(r + 6)
Let r(g) be the second derivative of -1/12*g**4 + 13/120*g**6 + 3/10*g**5 + 0 - 8*g + 0*g**2 + 0*g**3. Suppose r(m) = 0. Calculate m.
-2, 0, 2/13
Solve 1272*k + 0*k**3 - 596*k**2 - k**3 - 78*k**2 - 3*k**3 - 594*k**2 = 0.
-318, 0, 1
Let x(f) = f**3 - f + 20. Let o be x(0). Suppose 2*d + 6 = o. Find g such that 1 - 1 + d*g - 4*g + 3*g**2 = 0.
-1, 0
Factor -12*q**2 + 51 + 26*q**2 - 19*q**2 + 65*q - 148 - 103.
-5*(q - 8)*(q - 5)
Let l = 183 + -169. Factor -9*g - l*g - 4*g**4 + 51*g**2 - 26*g + 12.
-(g - 3)*(g + 4)*(2*g - 1)**2
Let y(w) = 35*w + 208. Let n(j) = -105*j - 624. Let k(t) = -2*n(t) - 7*y(t). Let a be k(-6). Determine s so that 0 + 4/13*s + 2/13*s**a = 0.
-2, 0
Factor -4*v**3 - 8 + 40/3*v - 2*v**2 + 2/3*v**4.
2*(v - 6)*(v - 1)**2*(v + 2)/3
What is z in 34*z**2 + 45*z**4 + 63*z**4 - 3*z**2 + 60*z**3 - 27*z**2 + 52*z**5 = 0?
-1, -1/13, 0
Let t(o) = -2 + o - o + 2*o + 5*o. Let k be t(2). Suppose 3*g**3 - k*g**4 - 8*g**4 + g**3 - 4*g + 16*g**4 + 4*g**2 = 0. Calculate g.
-1, 0, 1
Let r be ((-1)/3)/(3/(-18)). Find g, given that 2*g + 119*g**3 + 24*g**r + 5*g - 115*g**3 + 29*g = 0.
-3, 0
Let s be ((-172)/(-444) + (-50)/925)*3/4. Factor -w + 1 + s*w**2.
(w - 2)**2/4
Let a(f) be the first derivative of -27/2*f**3 - 3*f + 39/4*f**2 + 10 + 69/8*f**4 - 21/10*f**5. Factor a(q).
-3*(q - 1)**3*(7*q - 2)/2
Let k be ((-948)/(-30) - -4)*10/4. Factor 94*j**3 + 5*j**4 - 6*j**4 - 7*j**2 - k*j**3 + 3*j.
-j*(j - 3)*(j - 1)**2
Let a(o) be the third derivative of -5*o**8/336 - 17*o**7/21 + o**6/4 + 49*o**5/3 - 1345*o**4/24 + 85*o**3 - 2072*o**2. Factor a(f).
-5*(f - 1)**3*(f + 3)*(f + 34)
Let p(s) = 3*s**3 + 9*s**2 - 78*s - 174. Let b(d) = -12*d**3 - 36*d**2 + 311*d + 695. Let m(y) = 6*b(y) + 25*p(y). Factor m(j).
3*(j - 5)*(j + 2)*(j + 6)
Factor 935712 + 912*u + 2/9*u**2.
2*(u + 2052)**2/9
Suppose 128 - 144 = -4*l. Determine c, given that l*c**3 - 11311*c**2 - 39*c - 20 + 3*c + 11299*c**2 = 0.
-1, 5
Let u(l) be the first derivative of 1/24*l**4 - 675/2*l - 91/18*l**3 + 82 + 705/4*l**2. Determine c, given that u(c) = 0.
1, 45
Let q(z) be the second derivative of z**6/10 + 9*z**5/20 - 9*z**4/4 + 5*z**3/2 - 24*z + 9. Suppose q(m) = 0. Calculate m.
-5, 0, 1
Let k(m) be the second derivative of -m**7/189 + 29*m**6/135 + 121*m**5/45 + 20*m**4/3 - 4278*m. Suppose k(c) = 0. Calculate c.
-5, -2, 0, 36
Let o(s) be the first derivative of -1083*s**4/4 + 380*s**3 - 150*s**2 + 1286. Find c, given that o(c) = 0.
0, 10/19
Let z(x) = 2*x**2 + 42*x - 132. Let r be z(-24). Let c(t) be the second derivative of 2/11*t**2 + r*t + 1/33*t**3 - 1/66*t**4 + 0. Factor c(g).
-2*(g - 2)*(g + 1)/11
Let v(j) = -17*j**3 + 18935*j**2 - 13267907*j + 3100248925. Let k(r) = -6*r**3 + 6312*r**2 - 4422639*r + 1033416309. Let m(q) = 8*k(q) - 3*v(q). Factor m(z).
3*(z - 701)**3
Find f such that -1/5*f**2 - 53/5*f + 0 = 0.
-53, 0
Let h(z) = z**2 - z + 1. Let s(i) be the second derivative of i**4/6 - 65*i**3/6 - 103*i**2/2 - i + 1. Let n(v) = 5*h(v) - s(v). Let n(a) = 0. What is a?
-18, -2
Let l = 10 - -1. Let a be 6*((-4)/14 + l/14). Factor 13*b - b + a*b**2 - 2*b**2 - 3*b**2 - 18.
-2*(b - 3)**2
Factor 2/11*i**3 - 736/11*i**2 - 738/11*i + 0.
2*i*(i - 369)*(i + 1)/11
Let i(u) be the third derivative of -u**2 - 1/21*u**7 + 95/24*u**4 + 5/3*u**5 + 0*u + 5*u**3 - 5/336*u**8 + 1/4*u**6 + 42. Find k, given that i(k) = 0.
-2, -1, 3
Suppose -4*f**3 + 12*f**2 - 159 - 50 + 49 + 72*f = 0. What is f?
-4, 2, 5
Let v be ((-2)/(-10) + -1)*885/(-24544)*26. Factor v*b**2 - 21/4*b - 27/2.
3*(b - 9)*(b + 2)/4
Let q = -508 - -511. Suppose -z**3 - 18*z**2 + 373 + 6*z**2 + 57*z - 2*z**q - 415 = 0. What is z?
-7, 1, 2
Let v(f) be the third derivative of -f**7/84 + 31*f**6/80 - 13*f**5/30 - 3*f**4/4 + 10*f**2 - 22*f + 5. Determine q so that v(q) = 0.
-2/5, 0, 1, 18
Let i be 26/(-65) + 16/40. Let z(v) be the second derivative of -1/21*v**4 - 1/147*v**7 + 2/105*v**6 + 0*v**5 - 4*v + 0 + i*v**2 + 1/21*v**3. Factor z(k).
-2*k*(k - 1)**3*(k + 1)/7
Let f = 179 - 177. Determine x, given that -28 + 89*x**3 - 74*x - 14*x**5 + 20316*x**f - 88*x**4 - 20200*x**2 - x**3 = 0.
-7, -1, -2/7, 1
Factor -69*d + 204 + 1/3*d**2.
(d - 204)*(d - 3)/3
Let n(x) be the third derivative of x**7/42 + x**6/2 + 17*x**5/4 + 115*x**4/6 + 50*x**3 + 1203*x**2. Solve n(i) = 0.
-5, -3, -2
Let z(x) = -19*x**3 - 4*x**2 + 7*x - 8. Let k(s) = -26*s**3 - 6*s**2 + 9*s - 11. Let v(f) = 8*k(f) - 11*z(f). Factor v(j).
j*(j - 5)*(j + 1)
Determine a so that -2/9*a + 0 - 1/9*a**2 + 1/9*a**3 = 0.
-1, 0, 2
Let f be -5 - (746 - -5)/(-151 + 1). Let r(n) be the third derivative of 16*n**2 - f*n**5 + 1/20*n**4 + 0*n + 0 - 2/15*n**3. Factor r(k).
-2*(k - 2)*(k - 1)/5
Let r(w) be the third derivative of 0*w - 1/245*w**7 + 1/1176*w**8 + 0*w**6 + 0*w**3 + 2 + 2/105*w**5 + 0*w**4 + 79*w**2. Factor r(v).
2*v**2*(v - 2)**2*(v + 1)/7
Let o be 993*10/2280 - 45/20. Factor 2/19*l**2 + o*l + 200/19.
2*(l + 10)**2/19
Let y(v) be the third derivative of v**8/112 - 3*v**7/70 - 3*v**6/40 + 7*v**5/20 + 3*v**4/4 + 1174*v**2. Factor y(j).
3*j*(j - 3)*(j - 2)*(j + 1)**2
Let j(a) = 14*a**3 - 77*a**2 - 933*a - 1979. Let s(w) = 2*w**3 + 3*w**2 - w + 1. Let d(q) = j(q) - 5*s(q). Factor d(r).
4*(r - 31)*(r + 4)**2
Let q(l) = 14*l**2 - 54*l - 724. Let m be 45/6*(-56)/70. Let b(f) = 17*f**2 - 54*f - 723. Let w(h) = m*q(h) + 5*b(h). Factor w(y).
(y + 27)**2
Let q(g) be the second derivative of 0 + 0*g**2 - 119*g + 1/18*g**4 + 0*g**3 + 1/135*g**6 + 1/189*g**7 - 1/18*g**5. Suppose q(c) = 0. What is c?
-3, 0, 1
Find u, given that -120*u + 25*u**5 + 4*u**4 + 228*u**3 + 18*u**5 - 73*u**5 + 284*u**2 + 18*u**5 = 0.
-3, -2, 0, 1/3, 5
Suppose d + 12 = a, 26 - 58 = -2*a - 2*d. Let g(w) = -2*w + 30. Let m be g(a). Factor 0 + 20/7*n - 4/7*n**m.
-4*n*(n - 5)/7
Find i, given that 151*i - 232*i + 69*i + 0*i**2 - 88 - 3*i**2 + 47*i = 0.
11/3, 8
Let r(s) be the third derivative of -s**7/2520 + 33*s**6/160 + 561*s**2 + 1. Determine i so that r(i) = 0.
0, 297
Let g be ((-7525)/(-140) - 38)/(-7 + 10). Solve 51/4*s**2 - 5/4*s**4 + 19/4*s - 3/2 + g*s**3 = 0 for s.
-1, 1/5, 6
Let c(d) be the third derivative of d**7/42 - 9*d**6/8 + 31*d**5/6 + 50*d**4 - 135*d**2 + 5*d - 4. Solve c(z) = 0.
-2, 0, 5, 24
Let r = 1/1636 - -1633/4908. Let u(c) be the first derivative of 10 - r*c**3 + 3*c**2 - 9*c. Solve u(b) = 0.
3
Factor -480/23 + 2/23*c**2 + 2/23*c.
2*(c - 15)*(c + 16)/23
Let y(u) = -152*u**2 - 2882*u - 1045448. Let g(f) = -15*f**2 + f + 1. Let r(o) = 20*g(o) - 2*y(o). Factor r(s).
4*(s + 723)**2
Factor 1/6*j**3 - 4/3*j + 0 - 1/3*j**2.
j*(j - 