 31*y**2 - 5*y**4 + 15 + 10*y**2 - 20*y**4 - 85*y**3 + 260*y + z*y**2 + 65 = 0. Calculate y.
-4, -1, -2/5, 2
Let a(x) = 9*x - 27. Let b be a(5). Let -301*r**2 + 15*r - b - 4*r**3 + 0*r**3 + 307*r**2 + r**3 = 0. What is r?
-2, 1, 3
Let y(q) be the third derivative of q**6/120 - 31*q**5/9 - 449*q**4/8 - 71*q**3 - 287*q**2 - 1. Factor y(x).
(x - 213)*(x + 6)*(3*x + 1)/3
Factor 1386*z + 5*z**2 - z**2 - 2698*z - 2232 + 1364*z + 0*z**2.
4*(z - 18)*(z + 31)
Let h(z) be the third derivative of -z**7/315 - z**6/45 + 1584*z**2. Find g such that h(g) = 0.
-4, 0
Let b be 234/(-63) - 38/133 - (-4)/1. Let m(q) be the first derivative of -24/5*q**4 + 64/25*q**5 - 4*q**3 - 32 + 10*q**2 + b*q. Determine l so that m(l) = 0.
-1, 0, 5/4
Factor 21 + 3*p**3 - 6 + 7 - 2 - 16*p**2 + p.
(p - 5)*(p + 1)*(3*p - 4)
Let s(x) be the second derivative of -6*x**7/7 - 10*x**6 + 248*x**5/5 - 176*x**4/3 - 2528*x + 2. Solve s(b) = 0.
-11, 0, 4/3
Let p(g) be the first derivative of g**4/2 - 6*g**3 - 21*g**2 - 22*g - 13770. Find a, given that p(a) = 0.
-1, 11
Let v be (-40)/32 + (-5 - (-264)/32). Factor -2/11*t**v - 36/11*t - 162/11.
-2*(t + 9)**2/11
Let w(s) be the second derivative of -s**5/50 - 601*s**4/90 + 112*s**3/5 - 404*s**2/15 + s + 1328. Find r such that w(r) = 0.
-202, 2/3, 1
Let w(m) = 3*m**2 - 3. Suppose -18*r + 20 = -19*r. Let z be (12/r)/((-2)/20). Let k(b) = 4*b**2 - b - 3. Let n(v) = z*w(v) - 4*k(v). What is i in n(i) = 0?
-3, 1
Let f(j) be the first derivative of 2*j**3/45 + 1703*j**2/15 + 3404*j/15 - 82. Solve f(t) = 0 for t.
-1702, -1
Suppose -38 = 6*t + 10. Let m(n) = n**2 + 11*n + 28. Let q be m(t). Suppose 3*c**2 + 0 + 2 - 13*c - c**3 + 18*c - c**q = 0. Calculate c.
-1, 2
Suppose z - 4*y = 38, -z - 18*y + 17*y + 13 = 0. Suppose z*s - 19*s - l = 1, -2*s + 26 = -5*l. Factor -2/3*u**s + 0 + 2/3*u**4 - 2/3*u**2 + 2/3*u.
2*u*(u - 1)**2*(u + 1)/3
Let y be (-24)/8 + (8 - 2). Suppose -8*a**3 - 635*a - 126*a**2 + 7*a**3 - 1411*a - 1922 - a**y = 0. Calculate a.
-31, -1
Suppose 2*d = -3*d. Suppose 8*g - 16 = -d*g. Factor p**g + 9*p**3 - 2*p - p**2 - 7*p**3.
2*p*(p - 1)*(p + 1)
Suppose -4*o + 27 = 15. Suppose 4*z = -o*g + 21, 0 = -3*z + 2*z + 3. Determine w so that -3*w**g + 0 + 8*w**2 - 16/3*w + 1/3*w**4 = 0.
0, 1, 4
Let j(d) be the third derivative of -d**6/360 + 47*d**5/90 + 95*d**4/72 + 1590*d**2. Factor j(r).
-r*(r - 95)*(r + 1)/3
Let t(z) be the second derivative of -6/5*z**2 + 7 - 3/20*z**4 - 6/5*z**3 + 3/20*z**5 + z. Factor t(n).
3*(n - 2)*(n + 1)*(5*n + 2)/5
Let f(w) be the first derivative of -w**8/10080 - w**7/240 + 136*w**3/3 + w**2 + 182. Let n(m) be the third derivative of f(m). Suppose n(x) = 0. Calculate x.
-21, 0
Let l be 7/(-21)*-18 - -60. Factor 9*u**2 - 51 + l + 3*u**3 - 28*u + u.
3*(u - 1)**2*(u + 5)
Suppose 597*d - 595*d + 42 = -3*m, -3*d + 4*m = -56. Factor -4/3*y**2 + d*y + 3*y**4 + 5/6*y**5 + 2*y**3 + 0.
y**2*(y + 2)**2*(5*y - 2)/6
Let r = 13243 + -132427/10. Let v(b) be the second derivative of -r*b**5 - 1/6*b**4 - 1/27*b**3 + 0 - 1/5*b**6 + 4*b + 0*b**2. Factor v(y).
-2*y*(3*y + 1)**3/9
Let i(y) be the second derivative of -9*y**5/10 - 170*y**4/3 - 3173*y**3/3 + 722*y**2 - 2*y - 152. Factor i(g).
-2*(g + 19)**2*(9*g - 2)
Let g be (-1)/(-2)*2 + 3/27*9. Let s(q) be the third derivative of 0*q**4 - 1/5*q**5 + 0*q + 7*q**g - 1/30*q**6 + 0 + 8/3*q**3. What is z in s(z) = 0?
-2, 1
Let m(y) = -25*y**2 - 7*y + 4. Let n(q) = -112 + 230 - 116 - 11*q**2 - 3*q. Let p(j) = -3*m(j) + 7*n(j). Factor p(r).
-2*(r - 1)*(r + 1)
Let n = 227 + -194. Let l be (-144)/(-140)*110/n. Determine f so that l + 30/7*f + 6/7*f**2 = 0.
-4, -1
Suppose -2*r + 1 - 3 = -4*q, -3*q = -2*r. Suppose -2*c + 4 = -r*h, 3*c = -c - 4*h + 8. Factor -41*l**2 - 51*l**3 + 0*l**2 - 2*l**2 + l**c + 15*l**4 + 24*l.
3*l*(l - 4)*(l + 1)*(5*l - 2)
Determine v, given that 132/7*v**4 - 12/7 + 63*v**2 - 96/7*v + 507/7*v**3 = 0.
-2, -1/11, 1/4
Factor 268/9*j - 2/9*j**2 - 8978/9.
-2*(j - 67)**2/9
Let c be ((-11)/(-308))/((-84)/18 - -5 - 0). Let v(x) be the second derivative of 3/140*x**5 + 0 - 15*x + 0*x**3 + 0*x**2 - c*x**4. Let v(p) = 0. What is p?
0, 3
Let h(o) be the second derivative of 5*o**4/36 - 485*o**3/6 - 1465*o**2/3 - o - 361. Solve h(c) = 0.
-2, 293
Let t(f) be the first derivative of 5*f**4/26 - 13816*f**3/39 + 2384641*f**2/13 + 1909924*f/13 + 7850. Find g, given that t(g) = 0.
-2/5, 691
Let m = -110 - -114. Determine x so that 20*x**2 - 16 - 6*x**2 + m - 11*x**2 = 0.
-2, 2
Let z(f) be the first derivative of -f**4 + 1464*f**3 + 132. Determine n so that z(n) = 0.
0, 1098
Let t(d) be the first derivative of -1/5*d**3 - 3/100*d**5 + 3/20*d**4 + 31 + 0*d**2 - 32*d. Let p(x) be the first derivative of t(x). Factor p(m).
-3*m*(m - 2)*(m - 1)/5
Let a(z) be the first derivative of 1678*z**3 + 63*z**4 + 5547*z + 230 + 3/5*z**5 - 5418*z**2. Factor a(c).
3*(c - 1)**2*(c + 43)**2
Let i = -15909 - -15911. Factor -4*d + 2/7*d**4 - 4/7*d**3 - 10/7 - 24/7*d**i.
2*(d - 5)*(d + 1)**3/7
Let k = -31734 + 49473308/1559. Let a = 1547/9354 + k. Factor 0 - 1/6*w**2 - a*w.
-w*(w + 1)/6
Let i(c) be the second derivative of -5*c**9/3024 + c**8/336 + c**7/21 - c**6/6 - 5*c**3/6 - 79*c. Let v(b) be the second derivative of i(b). Factor v(a).
-5*a**2*(a - 2)**2*(a + 3)
Suppose -34*k + 31*k + 741 = 0. Factor k*r**2 - 82*r**2 - 82*r**2 - 20*r - 2*r - 84*r**2.
-r*(r + 22)
Let w(x) = x**3 - 20*x**2 + 361. Let k be w(19). Suppose h + 8 = 5*h. Factor -82*j**2 + 84*j**h + k*j + 0*j - 2*j**4.
-2*j**2*(j - 1)*(j + 1)
Let h(g) be the third derivative of g**6/24 - 45*g**4/8 - 45*g**3 - 61*g**2. Let h(p) = 0. What is p?
-3, 6
Let w(n) = -2025*n - 30371. Let s be w(-15). Suppose 0*j + 18/5*j**5 + 0 - 12/5*j**s - 42/5*j**3 - 12/5*j**2 = 0. What is j?
-1, -1/3, 0, 2
Suppose -6*h + 13 = -17. Suppose -2*s + 3*s = 3. Suppose -6*z**2 + 33*z + 0*z**4 - 4 - 10*z**4 + 3*z**h - 36*z**s + 22 - 2*z**4 = 0. What is z?
-1, 1, 6
Let y(a) be the first derivative of -a**3/3 - 407*a**2 - 165649*a - 696. Factor y(m).
-(m + 407)**2
Solve 234*j**2 + 1328 - 2192 - 294*j**2 + 396*j + 3*j**3 = 0.
6, 8
Let k = 2220973/20 + -555167/5. Factor 4 + 7/4*n**3 + 19/2*n - k*n**2.
(n - 8)*(n - 1)*(7*n + 2)/4
Factor 9*i**3 - 3*i**4 - 15*i**2 + 35*i**2 + 27*i**2 + 4119*i - 4083*i + i**2.
-3*i*(i - 6)*(i + 1)*(i + 2)
Let u be 2 + -3 - ((-70)/10 + 0). Suppose u*x - 575 + 575 = 0. Solve 1/2*j**3 + 0*j + 1/4*j**5 + 3/4*j**4 + x*j**2 + 0 = 0 for j.
-2, -1, 0
Let v(y) be the third derivative of -y**6/48 - 7*y**5/6 - 685*y**4/48 - 275*y**3/6 + 2577*y**2. Solve v(n) = 0 for n.
-22, -5, -1
What is j in -111/2*j**4 - 4*j - 226*j**2 - 223*j**3 + 0 = 0?
-2, -2/111, 0
Let f(p) be the second derivative of -5*p**4/48 - 685*p**3/24 - 675*p**2/4 + 2323*p. Factor f(h).
-5*(h + 2)*(h + 135)/4
Suppose 0 = 26*y - 115076 + 115076. Factor 0*t**4 + 0*t + y + 0*t**2 - 1/10*t**3 + 1/10*t**5.
t**3*(t - 1)*(t + 1)/10
Suppose 0 = -4*a - 4*n - 184, 4*a - 46 = 2*n - 254. Let m be (3/8)/(a/(-100)). Determine f so that 0 - m*f**2 + 0*f - 1/4*f**3 = 0.
-3, 0
Let 57457*p - 749088 + 8*p**4 - 10*p**4 + 72287*p - 8066*p**2 + 212*p**3 = 0. What is p?
17, 36
Let j(m) be the second derivative of -m**6/40 - 6*m**5/5 - 141*m**4/8 - 45*m**3 + 2025*m**2/8 - 1361*m. Determine t, given that j(t) = 0.
-15, -3, 1
Factor 0*y + 0 + 0*y**2 + 1/7*y**4 - 110/7*y**3.
y**3*(y - 110)/7
Solve 2*m**3 - 78698*m**2 - 2520*m + 78948*m**2 - 5*m**3 - 2*m**3 = 0.
0, 14, 36
Let j(b) be the third derivative of -b**5/480 - 239*b**4/192 - b**2 - 34*b + 84. Factor j(i).
-i*(i + 239)/8
Let h(r) be the second derivative of r**5/190 + 3*r**4/19 + 23*r**3/19 + 52*r**2/19 + 3*r - 63. Solve h(u) = 0.
-13, -4, -1
Find u, given that -4/5*u**2 - 374/5 + 199/5*u - 1/5*u**3 = 0.
-17, 2, 11
Let d(p) = -50*p - 198. Let z be d(-4). Factor 539*w**3 - 1082*w**3 + w**5 + 3*w**4 + 5*w**z + 534*w**3.
w**2*(w - 1)**2*(w + 5)
Factor 4/3*d**3 + 0*d**2 - 5/3*d**4 + 1/3*d**5 + 0 + 0*d.
d**3*(d - 4)*(d - 1)/3
Let a(k) be the third derivative of 0 + 3*k - 3*k**2 - 9/160*k**5 + 1/320*k**6 + 3/8*k**4 - k**3. Factor a(d).
3*(d - 4)**2*(d - 1)/8
Let y(q) be the first derivative of 2*q**3/27 + 80*q**2/9 + 104*q/3 - 548. Factor y(d).
2*(d + 2)*(d + 78)/9
Let m = -51 + 68. Suppose -2*i + y + 1 = -4*i, -m = -i + 3*y. Factor -2/9*x + 2/9*x**3 + 2/9 - 2/9*x**i.
2*