+ 2/5*y**2 + 0 - 32/5*y**4 + 1/5*y = 0.
-1, -1/4, 0, 1/4
Factor 65*w - 360 + 185*w**2 + 44*w + 16*w + 5*w**3 + 46*w - w.
5*(w - 1)*(w + 2)*(w + 36)
Let k(u) be the second derivative of -15*u**2 + 35/6*u**3 - 5/12*u**4 - 2*u + 10. What is d in k(d) = 0?
1, 6
Let u = -3691 - -29537/8. Let y(f) be the second derivative of 0*f**5 - u*f**2 + 0 + 1/40*f**6 - f**3 - 31*f - 3/8*f**4. What is o in y(o) = 0?
-1, 3
Let a(h) = -10*h**3 + 3*h - 2. Let i be a(1). Let r be (-2)/i - ((-14)/18 + -2). Find z, given that r*z - 357*z**2 - 3*z + 360*z**2 - 3*z = 0.
0, 1
Suppose -28*d - 135 = -104*d + 17. Let z(p) be the first derivative of 0*p + 6 + d*p**3 + 9/2*p**2 - 3/4*p**4. Let z(i) = 0. Calculate i.
-1, 0, 3
Factor 4/15*f + 0 + 2/15*f**4 - 2/5*f**2 + 0*f**3.
2*f*(f - 1)**2*(f + 2)/15
Let c(j) be the first derivative of -10*j**3/9 + 169*j**2/9 - 64*j/3 - 628. Factor c(l).
-2*(3*l - 32)*(5*l - 3)/9
Let d(r) be the second derivative of -49/45*r**6 - 209/18*r**4 + 91/15*r**5 + 88/9*r**3 + 0 - 4*r**2 - 235*r. Solve d(s) = 0.
2/7, 3/7, 1, 2
Let w(x) be the first derivative of -x**4/16 - 23*x**3/4 - 1587*x**2/8 - 139*x + 103. Let q(j) be the first derivative of w(j). Find b, given that q(b) = 0.
-23
Let k(t) be the first derivative of -1/3*t**2 + 0*t - 46 - 1/9*t**3. Factor k(h).
-h*(h + 2)/3
Solve 13523906*f**2 - 726*f + 69*f**4 + 3*f**5 - 13523675*f**2 + 187*f**3 + 236*f**3 = 0.
-11, -2, 0, 1
Suppose 5*d + 0*d = -2*n - 4, -d - 2*n + 4 = 0. Let s be -1 + 3 + d - (-14)/7. Determine g so that -8*g**2 + 7*g**2 + 2*g + s*g**2 - 6*g - 5 = 0.
-1, 5
Let w(n) be the third derivative of -55*n**2 + 0 + 0*n - 2*n**4 - 13/20*n**5 - 1/40*n**6 + 96*n**3. Find m such that w(m) = 0.
-8, 3
What is s in -3*s**5 - 12*s**2 - 112*s**3 + 58*s**3 + 66*s**3 + 3*s**4 = 0?
-2, 0, 1, 2
Let d(q) = -4*q**3 + 128*q**2 - 1048*q + 2872. Let l(w) = 4*w**3 - 125*w**2 + 1050*w - 2874. Let o(p) = -3*d(p) - 4*l(p). Factor o(y).
-4*(y - 12)**2*(y - 5)
Let b = -367082/3 - -122362. Factor b - 4/3*a**2 + 2/3*a - 2/3*a**3.
-2*(a - 1)*(a + 1)*(a + 2)/3
Let y(t) be the third derivative of t**6/144 + 11*t**5/72 - 115*t**4/72 - 70*t**3/9 - 1219*t**2. Determine i so that y(i) = 0.
-14, -1, 4
Let x(b) be the first derivative of -b**5/15 + 121*b**4/6 - 2160*b**3 + 85293*b**2 + 177147*b + 1363. Suppose x(a) = 0. What is a?
-1, 81
Suppose -2*d = g, 0 = -3*d + 18*g - 21*g. What is t in -1/2*t**5 + d + 7/2*t**4 + 5*t - 7/2*t**2 - 9/2*t**3 = 0?
-1, 0, 1, 2, 5
Let p(w) be the first derivative of -3*w**5/5 - 3*w**4 - 3*w**3 - 1121. Determine i, given that p(i) = 0.
-3, -1, 0
Let x = 8/31923 - -2362/10641. Factor -50/9 + x*p**2 - 16/3*p.
2*(p - 25)*(p + 1)/9
Let r(w) be the first derivative of -34 - 3/80*w**5 - 5/8*w**3 - 3/4*w**2 - 1/4*w**4 - 4*w. Let d(k) be the first derivative of r(k). Factor d(f).
-3*(f + 1)**2*(f + 2)/4
Let z(i) be the second derivative of i**7/6 - 13*i**6/10 - i**5/20 + 131*i**4/12 - 23*i**3 + 20*i**2 + 68*i + 45. Determine a so that z(a) = 0.
-2, 4/7, 1, 5
Let c(v) = -5*v**3 - 2*v**2 - v - 4. Let m(g) = -g**3 - 425*g**2 + 3 + 424*g**2 - 4. Let k be ((-16)/3)/(-4)*3. Let o(u) = k*m(u) - c(u). Factor o(q).
q*(q - 1)**2
Let g(b) be the third derivative of -b**6/540 + 7*b**5/45 - 119*b**4/108 + 26*b**3/9 + 52*b**2 - 24*b. Factor g(z).
-2*(z - 39)*(z - 2)*(z - 1)/9
Let b(r) be the third derivative of -r**6/60 + 17*r**5/30 - 13*r**4/3 - 125*r**2. Let b(z) = 0. What is z?
0, 4, 13
Suppose -a + 39 = -153*p + 162*p, -3*a + 13 = p. Factor -3/5 - 3/5*b**p + 12/5*b - 18/5*b**2 + 12/5*b**3.
-3*(b - 1)**4/5
Find u such that -112/3 - 338/3*u - 2*u**2 = 0.
-56, -1/3
Factor -11*j**3 + 358*j + 89*j**2 - 20*j**3 - 7*j**3 + 200 + 41*j**3.
(j + 4)*(j + 25)*(3*j + 2)
Let h(c) be the first derivative of 19/3*c**2 + 4*c - 44/9*c**3 - 28 - 7/6*c**4 + 8/15*c**5. Determine u, given that h(u) = 0.
-2, -1/4, 1, 3
Let a(l) = l**3 - 3*l**2 - 6*l + 8. Let p be a(-2). Factor 4/5*x + 8/5*x**2 + p + 4/5*x**3.
4*x*(x + 1)**2/5
Let o(c) be the first derivative of 5/22*c**4 + 2/55*c**5 - 4/11*c**3 + 0*c - 35 + 0*c**2. Find k such that o(k) = 0.
-6, 0, 1
Let h be (86/8 + -12)*(174/45 + -4). Let x(o) be the second derivative of 0 - h*o**3 - 1/12*o**4 + 4*o + 0*o**2. Let x(p) = 0. What is p?
-1, 0
Let s(d) be the third derivative of -53*d + 0*d**3 - 5/12*d**4 + d**2 + 0 + 1/12*d**5. What is g in s(g) = 0?
0, 2
Let s(n) be the first derivative of 1/5*n**3 - 117 + 3/10*n**2 + 0*n - 3/25*n**5 - 3/20*n**4. Determine u, given that s(u) = 0.
-1, 0, 1
Suppose 0 = 4*p - n - 206 + 188, -5*n = 4*p + 42. Let 2*c**p + 2/5*c**3 + 6/5 + 14/5*c = 0. Calculate c.
-3, -1
Let n(l) be the second derivative of l**10/6048 - l**9/945 + l**8/2240 + 25*l**4/12 + l**3/2 - 198*l. Let t(k) be the third derivative of n(k). Factor t(o).
o**3*(o - 3)*(5*o - 1)
Let v be 117/52 + 11/(-12). Let b be 4/(-6) - (-3)/(-9)*-2. Determine f so that f**2 + 1/3*f**4 + v*f**3 + b*f + 0 = 0.
-3, -1, 0
Let c(o) be the third derivative of o**7/15 + 101*o**6/15 + 283*o**5/30 - 19*o**4/2 - o**2 + 5*o - 160. Suppose c(f) = 0. Calculate f.
-57, -1, 0, 2/7
Let r(p) be the third derivative of -11*p**5/27 - 37*p**4/36 - p**3/27 - 34*p**2 + 3. Determine d, given that r(d) = 0.
-1, -1/110
Let s(b) be the second derivative of b**5/20 - 1013*b**4/4 + 1026169*b**3/2 - 1039509197*b**2/2 + 3400*b. Suppose s(m) = 0. What is m?
1013
Let f(b) be the third derivative of b**7/1680 - b**6/80 - 2*b**4/3 - 43*b**2. Let c(q) be the second derivative of f(q). Factor c(j).
3*j*(j - 6)/2
Determine i, given that -399/2 - 3/4*i**2 - 99/4*i = 0.
-19, -14
Factor -5*r**2 + 524 + 421 + 40*r - 134*r - 206*r.
-5*(r - 3)*(r + 63)
Suppose 0 + 1/2*l**5 - 7/2*l**4 - 6*l + 11/2*l**3 + 7/2*l**2 = 0. What is l?
-1, 0, 1, 3, 4
Let x be (-8)/(-18) + 280/18. Suppose y = 2*q - 2*y - x, y + 4 = 0. Find z, given that 6/5*z**q - 4*z + 6/5 = 0.
1/3, 3
Let u(i) be the second derivative of 0 + 1/60*i**5 + 17*i - 8/3*i**2 - 5/36*i**4 - 11/9*i**3. Factor u(o).
(o - 8)*(o + 1)*(o + 2)/3
Let l(m) be the second derivative of -m**7/21 + m**6/3 + m**5 - 10*m**4/3 - 8*m**3 + 6*m - 56. Find s such that l(s) = 0.
-2, -1, 0, 2, 6
Let o = -306 - -310. Solve -57*z**2 + 51*z**o - 67*z**3 + 83*z**3 + 29*z**3 - 45*z + 6 = 0 for z.
-1, 2/17, 1
Let t(i) be the third derivative of -i**5/690 + 167*i**4/69 - 29*i**3/3 + 2*i**2 - 17*i + 11. Factor t(u).
-2*(u - 667)*(u - 1)/23
Suppose -26*p + 26*p**2 - 16378*p**3 + 16348*p**3 - 115*p + 2*p**4 - 19*p - 218*p**2 = 0. Calculate p.
-4, -1, 0, 20
Suppose -3*q + 10 = 2*q. Suppose 76*l - 23*l = 106. Solve 3 - 4*n**l + 2*n**2 - q*n**2 + 1 = 0 for n.
-1, 1
Let o(k) be the third derivative of k**9/191520 + k**8/38304 + k**7/23940 + 137*k**5/60 - 2*k**2 - 21. Let d(g) be the third derivative of o(g). Factor d(u).
2*u*(u + 1)*(3*u + 2)/19
Let q(v) = -2*v**2 + v + 2. Let d(n) = -5*n**3 - 745*n**2 - 29395*n - 171490. Let u(l) = -d(l) + 5*q(l). Factor u(c).
5*(c + 7)*(c + 70)**2
Let h = 358097/4 - 89519. Factor 83/4*j + j**2 - h.
(j + 21)*(4*j - 1)/4
Let x be (29 + -24)/(2 - 3). Let t(o) = 2*o**2 + 48*o + 53. Let p(y) = -25*y - 26. Let s(r) = x*p(r) - 2*t(r). Find f such that s(f) = 0.
-3/4, 8
Let x(a) be the third derivative of a**8/2016 + a**7/210 + a**6/180 - a**5/60 - 5*a**4/144 + a**2 + 722. Determine j so that x(j) = 0.
-5, -1, 0, 1
Let l(t) be the third derivative of -t**8/840 - 11*t**7/525 - 7*t**6/50 - 32*t**5/75 - 8*t**4/15 - 119*t**2 - 9. Find o, given that l(o) = 0.
-4, -2, -1, 0
Let i(m) be the third derivative of -m**6/24 + 11*m**5/4 + 45*m**4/2 + 751*m**2. Determine u so that i(u) = 0.
-3, 0, 36
Let q = 73235 + -1317835/18. Let d = -11/18 + q. Factor -32/3*k**2 - d*k + 0 - 4/3*k**3.
-4*k*(k + 4)**2/3
Let f(z) be the first derivative of -z**8/2688 + z**7/336 - z**6/240 - 135*z**2/2 - 159. Let t(h) be the second derivative of f(h). Factor t(k).
-k**3*(k - 4)*(k - 1)/8
Let -21*j**2 - 16*j**4 - 71*j**2 - 36*j - 15553*j**3 + 8*j**2 + 15389*j**3 - 100*j**2 = 0. What is j?
-9, -1, -1/4, 0
Suppose -17*o + 12*o - 5*j + 55 = 0, 2*o - 4*j = 4. Determine f so that 3*f**5 - o*f**2 + 7*f**3 - 3*f**3 - 7*f**5 + 8*f**4 = 0.
-1, 0, 1, 2
Let o = 47833 - 333244/7. Factor -3/7*q**2 - o - 138/7*q.
-3*(q + 23)**2/7
Let r = -1/89398 + 715187/268194. Find w such that 40/3*w**5 - 50/3*w**3 + 16*w**2 - r*w - 22*w**4 + 0 = 