Determine i so that -i**4 - 9/2*i - 7*i**h - 1 - 9/2*i**3 = 0.
-2, -1, -1/2
Let v = 73 + -211/3. Find x such that -v*x + 2/3*x**2 - 8 = 0.
-2, 6
Let t(m) be the third derivative of -m**6/810 + m**5/45 - 4*m**4/27 + 12*m**3 + 49*m**2. Let s(f) be the first derivative of t(f). Find k, given that s(k) = 0.
2, 4
Let d(c) be the first derivative of -8 + 216*c**2 - 273*c**3 - 60*c + 147/4*c**4. Solve d(u) = 0 for u.
2/7, 5
Suppose -65*y - 198698 + 198893 = 0. Factor -9/2*f + 1/2*f**y - 9/4 - 2*f**2 + 1/4*f**4.
(f - 3)*(f + 1)**2*(f + 3)/4
Suppose 0 = -123*m - 7929 + 8175. Factor -2/3 - 1/6*g**3 - g**m - 3/2*g.
-(g + 1)**2*(g + 4)/6
Let x(h) be the third derivative of -h**6/120 + 4*h**5/5 + 49*h**4/24 - 157*h**2. Factor x(s).
-s*(s - 49)*(s + 1)
Factor -2/9*y**5 + 28/9*y**4 + 0 - 50/9*y**3 + 8/3*y**2 + 0*y.
-2*y**2*(y - 12)*(y - 1)**2/9
Solve -43*w**3 + 4*w**4 - 17*w**3 + 11*w**3 - 19*w**2 + 99*w**2 + 384*w + w**3 = 0.
-2, 0, 6, 8
Let r be 4*((-276)/24 - -12). Let w(h) be the second derivative of -8/15*h**3 + 0 + 11*h + 1/15*h**4 + 6/5*h**r. Factor w(q).
4*(q - 3)*(q - 1)/5
Determine j so that -130 + 420*j**2 + 80 + 50 - 5*j**3 = 0.
0, 84
Let g = 51076/15 + -17022/5. Factor 2 + 19/6*o + g*o**2.
(o + 4)*(4*o + 3)/6
Let k = 405742 + -405742. What is c in k*c + c**3 + 0*c**2 + 0 - 1/5*c**5 + 4/5*c**4 = 0?
-1, 0, 5
Let a = -11969 - -11972. Let v(z) be the first derivative of 6/7*z + 29/14*z**2 + 1/5*z**5 - 18 + 47/21*z**a + 31/28*z**4. Let v(j) = 0. Calculate j.
-2, -1, -3/7
Find m, given that 5*m**2 - 4*m**2 - 80*m + 63*m - 578 = 0.
-17, 34
Let m(l) be the first derivative of -4*l**3 + 171*l**2/2 - 600*l + 1400. Factor m(h).
-3*(h - 8)*(4*h - 25)
Let j = -131 + 143. Find u such that 16*u**3 - 16*u - j - 382*u**2 - u**4 + 390*u**2 + 5*u**4 = 0.
-3, -1, 1
Let x(j) = -9*j**2 - 615*j - 800. Let q be x(-67). Find i such that -1/2*i**2 + 1/4*i**3 + 0 + 1/4*i**q + 0*i = 0.
-2, 0, 1
Let v be (-6)/18 - (217/(-21) + 7). Factor 2/3*j**v + 4 - 4*j**2 - 2/3*j.
2*(j - 6)*(j - 1)*(j + 1)/3
Determine l so that 0 - 2/5*l**4 - 18*l**2 - 24/5*l**3 - 20*l = 0.
-5, -2, 0
Let j be (11/((-22)/4))/((-5)/25) + (-3224)/372. Let -16 + j*c**2 - 94/3*c = 0. What is c?
-1/2, 24
Let a(w) = -12*w - 1628 + 898 + 852. Let t be a(10). Determine h, given that 10/9*h**t - 14/9*h - 2/9*h**3 + 2/3 = 0.
1, 3
Factor -72*f - 228 + 22*f - 974731*f**2 + 974729*f**2.
-2*(f + 6)*(f + 19)
Let z(y) = y**3 + 15*y**2 + 4*y + 62. Suppose 27*h = -212 - 193. Let v be z(h). Solve 27/7*l - 3/7*l**3 - 3/7*l**v + 27/7 = 0.
-3, -1, 3
Let x be 18/(-21)*1*(85 + -92). Let k(t) be the first derivative of 0*t + 1/2*t**2 - 1/4*t**4 + 1/2*t**3 - x. Factor k(a).
-a*(a - 2)*(2*a + 1)/2
Suppose -5*m + 9 = -0*v + v, v = 2*m - 5. What is k in 3*k - k**2 + 0*k**m - 36 + 0*k**2 + 34 = 0?
1, 2
Let r = 18729/12442 - 33/6221. Factor 0 + 27/2*l - r*l**2.
-3*l*(l - 9)/2
Let h(d) be the second derivative of d**4/4 + 14*d**3 + 81*d**2/2 + 1328*d. Factor h(b).
3*(b + 1)*(b + 27)
Suppose -3*n + 15 = 3*i, -7 = -8*i + 13*i - 3*n. Let f(b) be the first derivative of 2/21*b**3 - 1/7*b**2 - i + 0*b. Factor f(j).
2*j*(j - 1)/7
Let t(x) be the first derivative of -11/4*x**2 + 142 - 2*x + 1/2*x**3. Factor t(z).
(z - 4)*(3*z + 1)/2
Let h be 233653/13496 + -8 - 6. Let b = h + 15/241. Determine s so that 3/8*s**5 + b*s**3 + 15/8*s**4 + 3/4*s + 0 + 21/8*s**2 = 0.
-2, -1, 0
Let d(u) be the first derivative of -2/3*u**3 + 1/4*u**2 - 1/8*u**4 - 39 + 2*u. Suppose d(k) = 0. Calculate k.
-4, -1, 1
Let r(u) = 4*u**2 - 5*u + 20. Let s be r(4). Suppose 4*n - s = -52. Factor y**5 - 2*y**n - 15 + 7 + 1 + y + 8 + y**4 - 2*y**2.
(y - 1)**2*(y + 1)**3
Find j such that 375*j - 755/2 + 5/2*j**2 = 0.
-151, 1
Suppose 672 = -2339*q + 2675*q. Factor -5/4*u**q + 3/4*u**3 + 1/2*u + 0.
u*(u - 1)*(3*u - 2)/4
Let -311*f + 4*f**2 + 419904 - 1501*f - 780*f = 0. What is f?
324
Suppose 5*q = f + 80 - 24, -7*q = 5*f - 104. What is r in 8/5*r**f + 118/3*r + 824/15*r**2 + 262/15*r**3 + 20/3 = 0?
-5, -2/3, -1/4
Let s(t) be the second derivative of t**5/40 - 5*t**4/24 - 37*t**3/6 - 30*t**2 - 141*t + 8. Factor s(r).
(r - 12)*(r + 2)*(r + 5)/2
Let d(g) be the second derivative of g**6/210 - 6*g**5/35 + 10*g**4/7 + 400*g**3/21 + 61*g**2 - 108*g. Let h(j) be the first derivative of d(j). Solve h(w) = 0.
-2, 10
Solve -37/5*v**3 + 0 - 1/5*v**5 + 39/5*v**2 + 38/5*v - 39/5*v**4 = 0.
-38, -1, 0, 1
Let b = 1841701/420 - 4385. Let a(s) be the third derivative of 1/105*s**5 + 0*s - 15*s**2 - b*s**6 + 0*s**3 + 1/28*s**4 + 0. Find r, given that a(r) = 0.
-1, 0, 3
Solve -5415*w - 20 - 5392*w + 10853*w + 8*w**4 - 6*w**3 + 0*w**3 - 24*w**2 - 4*w**3 = 0 for w.
-2, 1, 5/4
Let f(b) be the second derivative of -b**4/4 - 16*b**3 + 2*b + 222. Factor f(g).
-3*g*(g + 32)
Suppose -71*k = -115*k + 88 - 0. Let a(u) be the second derivative of 1/6*u**4 - 5*u**2 + k*u + 4/3*u**3 + 0. Find w, given that a(w) = 0.
-5, 1
Let r be 2*(-43)/((-387)/18). Let y(v) be the third derivative of -9*v**2 + 1/72*v**r + 0*v**3 - v - 1/90*v**5 + 0 + 1/360*v**6. Factor y(k).
k*(k - 1)**2/3
Let o be ((-15336)/546)/18 - 204/(-119). Solve -14/13*t - 20/13 - o*t**2 = 0 for t.
-5, -2
Let x = -1915273/2 + 957671. Determine t, given that 63/4*t**2 - 3/4*t**3 + x*t + 0 = 0.
-2, 0, 23
Let t(j) be the second derivative of -3/4*j**5 + 10/3*j**3 + 2*j + 5/42*j**7 - 5/3*j**4 + 0*j**2 - 39 + 1/3*j**6. Factor t(k).
5*k*(k - 1)**2*(k + 2)**2
Suppose 40*p = 45*p - 10. Suppose 3*i = -i + 3*z + 166, i = p*z + 39. Suppose -i*k + 3 - 17*k + 15 + 38*k**2 + 12*k**2 = 0. Calculate k.
3/5
Suppose -7*t + 800 = 618. Find k, given that t*k**2 - 5*k**3 - 28*k**2 + 47*k**2 = 0.
0, 9
Suppose -5*i - 65 = -7*z + 2*z, 3*z + 2*i = 34. Let b = -7 + z. What is c in 3*c**4 + 3*c**3 + 4*c**4 - b*c**5 - 2*c**4 + 7*c**3 = 0?
-1, 0, 2
Let v = -369 + 373. Factor 15*c - 99*c + 4*c**3 + 456 - v*c**2 - 276.
4*(c - 3)**2*(c + 5)
Suppose 4*o - 82 = -5*p, 46*o - 60 = -3*p + 43*o. Factor 2/3*u**p + 1922/3 + 124/3*u.
2*(u + 31)**2/3
Let a be -4*(-2)/(-36)*-1407. Let l = a - 311. Find n such that 0 - 4/3*n - l*n**2 - 1/3*n**3 = 0.
-4, -1, 0
Suppose -38*b + 40 = -37*b. Suppose -37 + b = y. Factor -46*v**3 + 31*v**3 + 19*v**y.
4*v**3
Let p be (32/20)/((-6)/(-10)). Let d(k) be the second derivative of -p*k**3 + 1/3*k**4 + 0 - 14*k - 10*k**2. Factor d(y).
4*(y - 5)*(y + 1)
Find g, given that 3892*g**2 + 65*g**4 - 138915 - 2422*g + 7070*g**2 + 1434*g**3 + 1099*g + g**5 = 0.
-21, -5, 3
Let t(p) = -9*p + 214. Let o be t(26). Let g = 22 + o. Suppose 2*i**4 + 4/3*i + 6*i**g + 20/3*i**3 + 0 = 0. What is i?
-2, -1, -1/3, 0
Suppose 560*i**3 + 16 + 112*i**2 + 198*i**2 - 332*i - 98*i**2 = 0. Calculate i.
-1, 1/20, 4/7
Let a(i) be the first derivative of -5/6*i**6 - 232 - 700/3*i**3 + 50*i**4 - 1200*i**2 + 2880*i + 5*i**5. Let a(o) = 0. Calculate o.
-4, 1, 6
Solve 0 + 1/4*k**5 - 1600*k - 23/2*k**4 - 440*k**2 + 156*k**3 = 0.
-2, 0, 8, 20
Let j = 187406/15 - 12493. Let i(l) be the third derivative of 5*l**2 + 4/3*l**3 + 2/15*l**6 - j*l**5 + 5/6*l**4 + 0*l + 0. Suppose i(s) = 0. What is s?
-1/4, 1, 2
Let r be (-8 - (-224)/21)*(-3)/2 + 4. Let o(t) be the third derivative of -5/3*t**3 - 5/24*t**4 + r + 1/6*t**5 + 0*t + t**2 + 1/24*t**6. Factor o(u).
5*(u - 1)*(u + 1)*(u + 2)
Suppose -3*k + 2*g = -16, -2*k = -3*k - 5*g - 6. Suppose -12 = -4*p + 5*p - k*c, 0 = -4*p - 3*c + 28. Factor 2*i**p + 0*i - 4/3*i**3 + 0 - 2/3*i**2.
2*i**2*(i - 1)*(3*i + 1)/3
Let l = 16 + 25. Suppose -71 = -15*i - l. Let -8/3 - 50/3*b**i - 40/3*b = 0. What is b?
-2/5
Let g be (4/(-8) + 1)*8. What is k in 4*k**2 + 2*k**2 - g*k**2 - 731 + 733 - 4*k = 0?
1
Let j(x) be the second derivative of -1/7*x**4 + 0*x**2 + 7 - 3/140*x**5 - 2*x - 2/7*x**3. What is z in j(z) = 0?
-2, 0
Let p(n) be the first derivative of -26 - 1/2*n**2 + 0*n - 1/40*n**5 - 7/12*n**3 - 7/32*n**4. Factor p(i).
-i*(i + 1)*(i + 2)*(i + 4)/8
Let v(j) be the third derivative of j**5/90 + 28*j**4/9 + 572*j**2. Find k such that v(k) = 0.
-112, 0
Let k(x) be the second derivative of -75/8*x**4 + 1/40*x**5 - 421875/4*x**2 + 0 + 208*x + 5625/4*x**3. Solve k(a) = 0 for a.
75
Let o(n) be the second derivative of 0 + 40*n - 80/3*n**3 + 640*n**2 + 5/12*n**4. Determine r so that o(r) = 0.
16
Let u(f) be the third derivative of f**8/2520 + 32*f**7/1575 - 4*f**6/45 - 2