f**6 + 2/21*f**7. What is t in c(t) = 0?
-1, 0, 1, 2
What is v in 513*v**4 - 510*v**4 - 19644*v - 2743 + 9847 + 5976 + 9846*v**2 - 1653*v**3 = 0?
2, 545
Suppose -5*u - 5*r = 3615, 5*u - r = 4*r - 3605. Let s = u - -726. Determine t, given that t**2 + 0*t**3 + 0 + 1/2*t**5 - 1/2*t - t**s = 0.
-1, 0, 1
Let -33*h**4 - 18*h**2 + 72*h**3 - 18*h + 126*h**2 - 43*h**2 + 22*h**2 = 0. Calculate h.
-1, 0, 2/11, 3
Let c(y) be the third derivative of 0*y**3 + 5*y + 0 + y**2 - 2/525*y**7 - 1/1680*y**8 + 1/300*y**6 + 1/25*y**5 - 3/40*y**4. Find j, given that c(j) = 0.
-3, 0, 1
Suppose 33*i + 140 = 5*i. Let q(l) = -6*l**2 + 22*l + 4. Let j(s) = 3*s**2 - 12*s - 3. Let m(t) = i*j(t) - 3*q(t). Determine f, given that m(f) = 0.
1
Solve -18/5*n - 24/5*n**2 - 4/5*n**4 + 22/5*n**3 + 0 = 0.
-1/2, 0, 3
Let x(a) be the third derivative of 0 + 11/18*a**4 + 0*a - 7/9*a**3 - 1/30*a**5 + 71*a**2. Factor x(l).
-2*(l - 7)*(3*l - 1)/3
Let t(m) be the second derivative of m**6/105 - 874*m**5/35 + 190969*m**4/7 - 333813812*m**3/21 + 36469158961*m**2/7 - 1914*m. Find p such that t(p) = 0.
437
Let z(m) = -116*m**3 - 49*m**2 - 64*m + 119. Let w(d) = -21*d**3 - 10*d**2 - 13*d + 24. Let u(r) = -33*w(r) + 6*z(r). Factor u(i).
-3*(i - 13)*(i - 1)*(i + 2)
Let v(h) be the third derivative of h**5/240 + 211*h**4/48 + 421*h**3/24 - 243*h**2 - 7. Solve v(o) = 0 for o.
-421, -1
Suppose 2*a + 2*x = 20, -5*a + 12*x + 5 = 8*x. Suppose 0 = a*z - s - 12, -4*z + 16*s + 3 = 13*s. Factor 3*k + 9/4 - 3/2*k**z - 15/4*k**2.
-3*(k - 1)*(k + 3)*(2*k + 1)/4
Suppose -123 = -30*l + 3*h, -2*l - 4*h + 52 - 90 = 0. Find t, given that 3*t - 3/4*t**l - 3/4*t**2 + 3 = 0.
-2, -1, 2
Let t(z) be the third derivative of z**7/4410 - z**6/840 - z**5/210 - z**4/12 - z**3 + 24*z**2. Let a(f) be the second derivative of t(f). Factor a(j).
2*(j - 2)*(2*j + 1)/7
Let v = -149254 - -1641810/11. Factor 2/11*n**2 + 18/11*n + v.
2*(n + 1)*(n + 8)/11
Let o(c) be the second derivative of c**4/114 + 2*c**3/19 - 55*c**2/19 + 19*c - 22. Suppose o(b) = 0. Calculate b.
-11, 5
Let k(m) be the first derivative of -5*m**6/6 - 14*m**5 + 85*m**4/4 + 50*m**3 - 1206. Find a, given that k(a) = 0.
-15, -1, 0, 2
Let x = 4225 + -25349/6. Let b(q) be the third derivative of -1/150*q**6 + 0*q**3 + 0*q + 0 - 29*q**2 + x*q**4 - 4/75*q**5. Factor b(i).
-4*i*(i - 1)*(i + 5)/5
Determine j, given that 590/3*j**2 + 692/3*j - 18*j**3 + 16 = 0.
-1, -2/27, 12
Let p = 65083669/40 - 1626988. Let f = p - 753/8. Solve -51/5*h**2 - 6/5*h - 24*h**3 - f*h**4 + 0 = 0 for h.
-2, -1/4, 0
Factor -496*l + 2*l**2 + 319*l + 295*l.
2*l*(l + 59)
Suppose 0 = -5*v + 4*v + 79. Let o = 102 - v. Solve -75*l**2 - 5 + o - 66 + 120*l = 0.
4/5
Let m = 2/63 + 41/693. Let p = -104 + 104. Factor -2/11*d + m*d**2 + p.
d*(d - 2)/11
Let -1852/11*h - 428738/11 - 2/11*h**2 = 0. What is h?
-463
Suppose -404*h + 4 = -405*h + 2*k, 2*h - 2 = -k. Find p such that 14/5*p**3 + 4/5*p**2 + h - 13/5*p**4 + 3/5*p**5 - 8/5*p = 0.
-2/3, 0, 1, 2
Let i(a) be the first derivative of -2*a**4/3 - 550*a**3/3 - 14214*a**2 - 21218*a/3 + 437. Factor i(o).
-2*(o + 103)**2*(4*o + 1)/3
Let r(i) be the second derivative of 1/7*i**4 - 51 + 5/42*i**7 + 0*i**2 - 1/2*i**5 + 4/21*i**3 - i - 13/70*i**6. Solve r(k) = 0.
-1, -2/7, 0, 2/5, 2
Let z(n) be the first derivative of 11*n**5/20 + 3*n**4/4 - n**3/3 - 63*n - 18. Let y(o) be the first derivative of z(o). Factor y(q).
q*(q + 1)*(11*q - 2)
Suppose -4*o - 34 = -3*n + 13, -3*n - 3*o + 12 = 0. Determine j, given that -30*j**3 + n*j**3 + 9*j**3 + 10*j**3 - 4 + 2*j + 4*j**2 = 0.
-1, 1, 2
Let j(d) be the second derivative of -d**7/11340 + 7*d**6/3240 - d**5/54 + 115*d**4/12 + 12*d. Let t(l) be the third derivative of j(l). Factor t(o).
-2*(o - 5)*(o - 2)/9
Factor 2700/7 - 2/7*p**3 + 88/7*p**2 + 1030/7*p.
-2*(p - 54)*(p + 5)**2/7
Let q = 47/12 - 41/12. Let g be 4 - (-60)/(-27) - 4/(-18). Factor 3*u**g + 1/4*u**5 + 0 - u**4 + 9/4*u - q*u**3.
u*(u - 3)**2*(u + 1)**2/4
Let w be (24/(-16))/(1 - 8/5). Suppose -7*y + 14 = -3*y + 3*l, 5*y - l - 27 = 0. Solve w + 5/2*a**4 - y*a**3 + 5/2*a**5 - 5*a**2 + 5/2*a = 0.
-1, 1
Let q = -3315 - -3331. Let p(l) be the second derivative of 1/4*l**2 + 0 - 1/48*l**4 - q*l + 1/24*l**3. Find y such that p(y) = 0.
-1, 2
Let w(l) be the third derivative of -8*l**7/735 + 23*l**6/105 - 473*l**5/420 + 29*l**4/24 - 4*l**3/7 + 82*l**2 - 6*l. Determine f, given that w(f) = 0.
1/4, 3, 8
Find t, given that -2745/4*t**3 + 4339/2*t**2 + 1781*t - 5/4*t**5 - 1014 - 62*t**4 = 0.
-26, -1, 2/5, 3
Let b = -7 + 11. Let u = b - 2. Let -u*x**4 + 2*x**5 - 2*x**3 - 9 + 2*x**2 + 0 + 9 = 0. What is x?
-1, 0, 1
Let m(t) be the second derivative of -t**7/77 + 2*t**6/11 + 87*t**5/110 - 27*t**4/11 - 72*t**3/11 + 1394*t + 1. Suppose m(z) = 0. What is z?
-3, -1, 0, 2, 12
Let t be (-6)/(-4)*308/(-21). Let i be -3 + (-187)/t - 4. Factor -6 + i*m**2 + 0*m.
3*(m - 2)*(m + 2)/2
Factor 132/7*f**2 + 6400/7 - 1728/7*f - 2/7*f**3.
-2*(f - 50)*(f - 8)**2/7
What is s in -2/9*s**3 - 4/3 - 4/3*s**2 - 22/9*s = 0?
-3, -2, -1
Suppose -5*t + 8*t = 96. Factor 30*j**2 + 9*j**4 + 11 - t*j**3 - 11 - 7*j**4.
2*j**2*(j - 15)*(j - 1)
Let s be 2/(1 - 5/3) + 2. Let m(t) = -t**2 + t - 1. Let a(b) = 32*b**2 + 72*b - 20. Let i(q) = s*a(q) - 4*m(q). Factor i(f).
-4*(f + 3)*(7*f - 2)
Let x = 35631 - 35627. Let m(r) be the third derivative of -32*r**2 + 1/15*r**6 + 0*r - 11/30*r**5 + 5/6*r**x - r**3 + 0. Suppose m(h) = 0. What is h?
3/4, 1
Let -6*d**2 + d**2 + 1083*d - 9483*d - 3528000 = 0. Calculate d.
-840
Let n(f) be the second derivative of -f**6/90 + 77*f**5/15 - 304*f**4/9 + 25*f + 1. Determine r so that n(r) = 0.
0, 4, 304
Suppose -2 = 3*j - 2*t, 0 = -5*j + 2*t + 10 - 8. Factor 31 - 15*c + 37 - 86 - 135*c + 3*c**j - 135.
3*(c - 51)*(c + 1)
Let n be (58345/(-10))/(-7)*(-3 + 1). Let z = n - -5003/3. Find f, given that -z*f**3 - 2/3*f**2 + 2/3 + 2/3*f = 0.
-1, 1
Suppose 5*r + 790*c = 791*c + 9, c = -r + 3. Find u, given that 4/5*u + 0 + 1/5*u**r = 0.
-4, 0
Let f(w) be the third derivative of w**5/15 + 26*w**4 - 314*w**3/3 + 21*w**2 + 49. Factor f(a).
4*(a - 1)*(a + 157)
Let o(i) be the first derivative of -i**5/100 - 7*i**4/10 - 26*i**3/5 + 89*i**2/2 - 195. Let t(k) be the second derivative of o(k). Solve t(p) = 0.
-26, -2
Factor 872/3*s + 1736/3 + 2/3*s**2.
2*(s + 2)*(s + 434)/3
Let a(u) be the third derivative of 0*u - 12*u**2 - 2/21*u**4 - 1/210*u**5 + 0*u**3 + 0. Determine f so that a(f) = 0.
-8, 0
Let h(f) be the third derivative of f**6/600 - 33*f**5/100 - 1081*f**4/120 - 327*f**3/10 + 170*f**2 - 14. Factor h(r).
(r - 109)*(r + 1)*(r + 9)/5
Let h(k) = 6*k + 116. Let l be h(-19). Let i = -35/6 + 187/30. Find j, given that i*j**3 + 6/5*j**l + 6/5*j + 2/5 = 0.
-1
Let j be 3*1/2 + (-25)/(-50). Find c, given that 40*c**j + 67 - 47*c**2 + 60*c - 22 + 27*c**2 = 0.
-3/2
Suppose -201*n - 90*n + 359 = -31*n - 421. Factor 0*y + 15/4*y**n - 5/2*y**2 + 0.
5*y**2*(3*y - 2)/4
Let o = -8093/21828 + 25/68. Let z = o + 571/107. Factor 4/3*j**4 + z*j**3 + 4*j**2 - 16/3*j - 16/3.
4*(j - 1)*(j + 1)*(j + 2)**2/3
Let h(v) = 14*v**2 - 50*v + 34. Let s(z) = 6*z**2 - 25*z + 16. Let y(r) = 2*h(r) - 5*s(r). Suppose y(g) = 0. What is g?
1/2, 12
Let p(w) = 3*w**5 + 19*w**4 + 137*w**3 + 105*w**2 - 4. Let a(s) = s**5 - 3*s**4 - 1. Let t(l) = -4*a(l) + p(l). Factor t(r).
-r**2*(r - 35)*(r + 1)*(r + 3)
Let w(i) be the third derivative of i**8/84 - i**7/7 + 233*i**6/480 - 35*i**5/48 + 17*i**4/32 - 5*i**3/24 + i**2 - 973*i. Determine c so that w(c) = 0.
1/4, 1, 5
Let k(g) = 15*g - 50. Let c be k(4). Suppose -107 = -c*x - 107. Factor x*q + 6/11*q**3 + 2/11*q**4 + 4/11*q**2 + 0.
2*q**2*(q + 1)*(q + 2)/11
Let c = 2901 - 1764. Solve -20*k + 5*k + c*k**3 + 20*k**2 - 1142*k**3 = 0 for k.
0, 1, 3
Determine b so that -4*b**4 - 156*b + 29*b**4 + 3*b**4 - 12*b**4 + 60*b**3 - 7*b**4 + 45 + 42*b**2 = 0.
-5, -3, 1/3, 1
Let o(n) be the second derivative of n**7/14 + 11*n**6/10 + 3*n**5 - 20*n**4 - 48*n**3 + 216*n**2 + 1378*n. Suppose o(j) = 0. What is j?
-6, -2, 1, 2
Factor 312/5 + 62/5*b**2 - 272/5*b - 2/5*b**3.
-2*(b - 26)*(b - 3)*(b - 2)/5
Let j = 95932/33 - 3788/11. Find r such that 1/3*r**5 - 6518/3*r**2 - 68/3*r**4 - j + 1345/3*r**3 + 12028/3*r = 0.
2, 31
Let o = 502482/351659 + -16/50237. Solve -o*j - 1/7*j**2 + 11/7 = 0.
-11, 1
Suppose -