7*f = 0 for f.
-1, 5
Let c be (-22)/165 + 6/45. Let y(z) be the first derivative of -3/5*z**5 + c*z + 3*z**3 - 3/2*z**4 + 15 + 0*z**2. Factor y(d).
-3*d**2*(d - 1)*(d + 3)
Suppose 5*x = -0*y + 3*y + 218, 4*y = 2*x - 76. Suppose -x*s - 4 = -48*s. Find m such that 3*m**2 + 0*m**2 + 6*m - m**s + 0*m = 0.
-3, 0
Let i(p) = -3365*p - 13458. Let c be i(-4). Let b be (-3 - -1) + 34/14. What is x in -12/7 - 9/7*x + b*x**c = 0?
-1, 4
Solve -303/7*q - 57/7*q**3 + 33*q**2 + 3/7*q**4 + 18 = 0.
1, 3, 14
Let b(y) = -2*y**2 + 794*y - 774. Let x(l) = 3*l**2 - 1585*l + 1549. Let f(r) = 11*b(r) + 6*x(r). Factor f(a).
-4*(a - 1)*(a + 195)
Let 753/2*h**2 + 0 + 279*h + 3/2*h**4 + 99*h**3 = 0. Calculate h.
-62, -3, -1, 0
Let f(r) be the first derivative of r**7/168 - r**6/36 - r**5/24 + 5*r**4/12 - 143*r**3/3 - 2*r + 123. Let s(t) be the third derivative of f(t). Solve s(q) = 0.
-1, 1, 2
Let d(g) be the second derivative of -g**4/102 - 116*g**3/51 + 3*g + 22. Let d(m) = 0. What is m?
-116, 0
Suppose -1/5*h**2 + 324/5 + 77/5*h = 0. Calculate h.
-4, 81
Let s be ((-6)/12)/((-1)/22 - 0). Let l be (s + 456/(-42))*(-14)/(-4). Factor -l*n**2 + 1/6*n + 0 + 1/3*n**3.
n*(n - 1)*(2*n - 1)/6
Let b be 5/(-25)*-5*2. Suppose -b*z - 3*z + 3*c = 12, -4*z + 3*c - 12 = 0. Let z*v + 4*v**2 + 3*v**2 - 28*v**2 + 18*v**3 + 3*v = 0. Calculate v.
0, 1/6, 1
Suppose 0 = 1150*q - 1144*q - 180. Solve z**5 - 5*z**2 - 22*z**4 + q*z**3 - 32*z**5 - 3*z**4 - 29*z**5 = 0 for z.
-1, 0, 1/4, 1/3
Let n(x) be the first derivative of -2*x**3/21 + 148*x**2 - 76664*x + 9146. Factor n(k).
-2*(k - 518)**2/7
Solve 13300/3*o + 905*o**2 + 5/3*o**4 + 10780/3 + 200/3*o**3 = 0 for o.
-14, -11, -1
Let x(g) be the first derivative of -g**6/4 - 9*g**5/5 - 39*g**4/8 - 6*g**3 - 3*g**2 - 160. Factor x(c).
-3*c*(c + 1)**2*(c + 2)**2/2
Let y(m) = -m**2 + 2*m + 4. Let o be y(0). Factor -55*s**2 - 27*s + o*s + 65*s - 80 + 88*s + 5*s**3.
5*(s - 8)*(s - 2)*(s - 1)
Let q(z) = -2*z**2 - 3 - 180*z**3 - 5*z + 3*z**2 + 179*z**3. Let i(b) = 2*b**2 - b - 1. Let l(v) = -2*i(v) + q(v). Factor l(j).
-(j + 1)**3
Let u(o) be the second derivative of o**7/357 + 139*o**6/85 - 837*o**5/170 + 419*o**4/102 + 11*o + 41. What is r in u(r) = 0?
-419, 0, 1
Factor -132*k**3 + 371*k**2 + 137*k**3 - 570*k - 936*k**2.
5*k*(k - 114)*(k + 1)
Let g = 228/217 - 104/217. Let w = -42 - -44. Factor 4/7 + g*o - 3/7*o**w.
-(o - 2)*(3*o + 2)/7
Let a(z) = z**3 - 20*z**2 - 7*z + 143. Let c(w) = -11*w + 86. Let k be c(6). Let y be a(k). Factor 0 + 2/3*l**4 - 4/9*l**y - 2/9*l**5 + 0*l + 0*l**2.
-2*l**3*(l - 2)*(l - 1)/9
Suppose 71*u - 916 = 69*u. Suppose -28*q**3 - u - 4*q**4 - 62*q**2 + 12*q + 530 + 10*q**2 = 0. What is q?
-3, -2, 1
Suppose -76*j + 75*j = 73. Let u = j - -76. Factor 1/7*a**u - 2/7*a**2 + 0 - 3/7*a.
a*(a - 3)*(a + 1)/7
Let l(i) be the third derivative of -i**5/60 + 833*i**4/24 - 416*i**3/3 - 6*i**2 + 30*i + 2. Factor l(t).
-(t - 832)*(t - 1)
Let f = 802 + -800. Solve 282*d**3 + 234*d**2 + 155*d - 89*d**f + 30 - 262*d**3 = 0 for d.
-6, -1, -1/4
Let l(h) be the first derivative of -h**4/8 + 5*h**3/2 - 7*h**2/2 - 7568. Factor l(d).
-d*(d - 14)*(d - 1)/2
Let o(j) be the second derivative of -j**4/78 + j**3/3 + 14*j**2/13 + 1092*j + 1. Solve o(k) = 0.
-1, 14
Let h(q) be the third derivative of -q**2 + 1/10*q**5 + 5/12*q**4 + 2/3*q**3 - 1/105*q**7 + 0 - 1/60*q**6 + 40*q. Determine l, given that h(l) = 0.
-1, 2
Let d(k) be the second derivative of 2*k**7/21 + 14*k**6/5 - 46*k**5/5 + 2*k**4/3 + 30*k**3 - 46*k**2 - 208*k - 8. Factor d(s).
4*(s - 1)**3*(s + 1)*(s + 23)
Let b(f) be the second derivative of f**4/36 + 17*f**3/6 - 3656*f. Factor b(x).
x*(x + 51)/3
Let 160/3 + 132/5*i - 2/15*i**2 = 0. Calculate i.
-2, 200
Let n(b) be the first derivative of 2*b**5/5 + 631*b**4 + 791258*b**3/3 - 1597692*b**2 + 3205512*b - 2855. Factor n(l).
2*(l - 2)**2*(l + 633)**2
Let t(r) = 20*r**2 + 88*r - 108. Suppose -27*m - 9 = -24*m. Let k(h) = 7*h**2 + 29*h - 36. Let z(f) = m*t(f) + 8*k(f). Solve z(o) = 0 for o.
-9, 1
Find q, given that -4/3*q**4 + 136/3*q + 4/3*q**5 - 32 - 20*q**3 + 20/3*q**2 = 0.
-3, -2, 1, 4
Let z(p) be the third derivative of p**7/140 + 17*p**6/80 + 27*p**5/10 + 19*p**4 + 80*p**3 + 3654*p**2. Determine d, given that z(d) = 0.
-5, -4
Let d(a) = 9*a**4 + 105*a**3 - 366*a**2 + 258*a. Let z(h) = 17*h**4 + 212*h**3 - 733*h**2 + 515*h. Let r(t) = 11*d(t) - 6*z(t). Factor r(f).
-3*f*(f - 2)*(f - 1)*(f + 42)
Let w = 47988 + -47986. Let y be 5/2 + -2 + 0. Find c such that -y*c**w - 1 - 3/2*c = 0.
-2, -1
Let l(f) = 4*f**4 + 12*f**3 + 24*f**2 - 52*f + 18. Let b(x) = 13*x**4 + 37*x**3 + 73*x**2 - 157*x + 53. Let c(n) = 6*b(n) - 19*l(n). Factor c(d).
2*(d - 4)*(d - 1)**2*(d + 3)
Let l(g) = -2*g**3 + 75*g**2 + 836*g - 30322. Let d be l(38). Factor 0 + 4/9*n**d + 0*n + 2/9*n**3.
2*n**2*(n + 2)/9
Let y(f) = -5*f**2 + 443*f + 278. Let k be y(89). Solve 4/3*s**3 - 500/3 - 20*s**2 + k*s = 0 for s.
5
Let z = -32 - -35. Suppose -5*l + u = -z*u - 41, 16 = 4*l + u. Solve 53*a + 73*a - 5*a**2 - l - 116*a = 0.
1
Let f(v) be the third derivative of -v**6/180 + 224*v**5/45 + 451*v**4/9 + 1808*v**3/9 - 137*v**2 + 18*v + 2. Determine n, given that f(n) = 0.
-2, 452
Let c = -284 - -287. Let s be (c + 0)/(-1)*(-20)/102. Determine q so that 0 + 18/17*q - 6/17*q**2 - 2/17*q**4 - s*q**3 = 0.
-3, 0, 1
Factor 0*t**2 - 9/2*t**4 - 3/2*t**5 + 0*t + 0 + 6*t**3.
-3*t**3*(t - 1)*(t + 4)/2
Factor 0 + 15/4*j + 9/4*j**3 - 3/4*j**4 + 27/4*j**2.
-3*j*(j - 5)*(j + 1)**2/4
Let s(v) = 4*v**3 + 29*v**2 - 239*v - 244. Let b(u) = -2*u**3 - 14*u**2 + 120*u + 124. Let o(h) = -5*b(h) - 2*s(h). Let o(q) = 0. Calculate q.
-11, -1, 6
Let q be (5/10 - 0)*4. Let t be ((15/6)/((-11)/(-110)))/9. What is k in -35/9*k**q + 11/9*k**3 - 1/9*k**4 + 0 + t*k = 0?
0, 1, 5
Let v(a) be the first derivative of -a**6/15 + 2*a**5/5 + a**4/2 - 10*a**3/3 - 8*a**2 - 4*a + 54. Let j(u) be the first derivative of v(u). Factor j(n).
-2*(n - 4)*(n - 2)*(n + 1)**2
Suppose 6 - 31 = -5*r. Suppose 0 = 5*w - b - r, 4*b - 14 = -0*w + 3*w. Factor 26 - 16*n**w + 4*n**4 - 26.
4*n**2*(n - 2)*(n + 2)
Factor -2455 - 2*v**3 + 1735 - 229*v - 99*v + 20*v**2 + 4*v**3.
2*(v - 10)*(v + 2)*(v + 18)
Suppose -3*h = 4*r - 677, 5*r + 173 = 6*r - 3*h. Let n = 172 - r. Suppose 6/7*u - 3/7*u**3 - 3/7*u**n + 0 = 0. Calculate u.
-2, 0, 1
Find l such that 0 + 26/3*l**4 - 238*l**2 + 34/3*l**3 - 2/3*l**5 - 528*l = 0.
-3, 0, 8, 11
Suppose 424 - 2507*u + 11135*u**3 + 635*u**2 + 550*u**2 + 813*u - 11129*u**3 + 79*u**2 = 0. Calculate u.
-212, 1/3, 1
Suppose 3*h + 0*g = -g + 112, 4*h - 144 = -4*g. Let t = -23 + h. What is i in 150*i**2 - 44*i - 20*i**3 + 40 - 54*i - 82*i - t*i**3 = 0?
2/7, 2
Factor -55*h**5 + 2*h**3 - 6*h**4 + 125*h**5 - 68*h**5 + 6*h**2 - 4*h.
2*h*(h - 2)*(h - 1)**2*(h + 1)
Let t(l) be the first derivative of 8/17*l + 31 - 2/17*l**3 - 2/85*l**5 - 2/17*l**4 + 4/17*l**2. Let t(o) = 0. What is o?
-2, -1, 1
Let r(o) = 3*o**3 - 2*o + 1. Let x(w) = 16*w**3 + 6*w**2 - 62*w - 115. Let i(l) = -5*r(l) + x(l). Determine p so that i(p) = 0.
-10, -2, 6
Let z(o) = -o**2 + o. Let m be 5/3 - 10/15. Let b(s) = -20*s**2 - 5*s - 20. Let k(d) = m*b(d) - 15*z(d). Suppose k(t) = 0. What is t?
-2
Let r(z) be the first derivative of z**4/9 + 788*z**3/27 + 782*z**2/9 + 260*z/3 - 4398. Find h such that r(h) = 0.
-195, -1
Let l be (-11)/((-616)/(-118)) + (-342)/(-152). Determine x, given that -81/7*x - 6*x**2 - l*x**3 - 40/7 = 0.
-40, -1
Determine t, given that -7/3*t**2 - 86 - 905/3*t = 0.
-129, -2/7
Let c(m) be the third derivative of 5*m**4/24 - 5*m**3/2 - 8*m**2. Let b be c(5). Factor 25*f - 10 + 0*f**2 + 5*f**2 + b*f**2.
5*(f + 2)*(3*f - 1)
Let j = -221 + 222. Let m be (4/(-10) + j)*(9 + -4). Factor 16/3*i + 38/3*i**2 - 8/3 + 14/3*i**m.
2*(i + 1)*(i + 2)*(7*i - 2)/3
Suppose 50*d - 19*d - 372 = 0. Suppose 0 = 19*w - d*w - 28. Factor 11/5*t**w + 0*t - 2/5*t**3 + 0 + 0*t**2 - 9/5*t**5.
-t**3*(t - 1)*(9*t - 2)/5
Let n(o) be the third derivative of o**8/84 - 32*o**7/35 - 10*o**6/3 - 2*o**5/15 + 33*o**4/2 + 100*o**3/3 - 2604*o**2. Factor n(s).
4*(s - 50)*(s - 1)*(s + 1)**3
Solve 80/3*k**3 - 1/3*k**4 + 0 + 0*k + 27*k**2 = 0.
-1, 0, 81
Suppose 4*r - 15*q - 48 = -12*q, r - 4*q - 51 = 0. Factor 16/13 - 28/13*m + 4/13*m**r - 10/13*m**2.
2*(m - 4)*(m + 2)*(2*m - 1)/13
Let w = -9