 - t)*3. What is m in -1/12*m**4 + 0 - 1/6*m + s*m**2 + 1/6*m**3 = 0?
-1, 0, 1, 2
Let i be (6/(-35))/((-1072)/35644) + (-2)/20. Solve 8 + 4/5*o**2 + i*o = 0 for o.
-5, -2
Let 733 + 2*h**2 - 163 - 42*h - 390 = 0. Calculate h.
6, 15
Factor -360 - 117*s**3 + 442*s - 356*s**3 + 475*s**3 - 84*s**2.
2*(s - 36)*(s - 5)*(s - 1)
Let v(c) be the first derivative of -c**5/8 - 29*c**4/32 + 47*c**3/8 - 27*c**2/16 + 458. Factor v(u).
-u*(u - 3)*(u + 9)*(5*u - 1)/8
Let x(y) be the second derivative of y**4/66 - 1258*y**3/33 + 395641*y**2/11 + 1592*y. Find t such that x(t) = 0.
629
Let y = 258592 + -1292906/5. Let 0 + 0*q + y*q**3 - 6/5*q**5 + 0*q**2 + 27/5*q**4 = 0. Calculate q.
-3/2, 0, 6
Let f(c) be the third derivative of c**8/1008 - c**7/70 - 3*c**6/20 + 21*c**5/5 - 27*c**4 - 3*c**2 + 32. Determine x, given that f(x) = 0.
-9, 0, 6
Let p = 5186/13 - 398. Let f be 1848/10920 + 6/10. Suppose 2/13*h**2 + f*h + p = 0. Calculate h.
-3, -2
Let m(x) be the second derivative of x**6/15 - 9*x**5/10 - 29*x**4/2 + 305*x**3/3 + 1950*x**2 - 6017*x. Factor m(b).
2*(b - 13)*(b - 6)*(b + 5)**2
Factor -55680*s**4 - 154*s**3 + 55683*s**4 - 152*s**3 - 13987*s - 2553*s**2 + 96*s**3 + 4411*s - 11664.
3*(s - 81)*(s + 3)*(s + 4)**2
Let j = -29 - -32. Suppose -36*m**5 + 29*m**3 + 11*m + 11*m**5 - 145*m**4 - 8*m**j + 100*m**2 + 25*m**3 + 13*m = 0. Calculate m.
-6, -2/5, 0, 1
Suppose 12*t + 65 - 185 = 0. Suppose -4*p + 2*z = 0, -3*p - t = z - 5*z. Suppose -1/3*k**p - 2 - 5/3*k = 0. What is k?
-3, -2
Suppose 62 - 12 = 25*k. Let x(d) be the second derivative of 1/16*d**6 + 0 - 3/160*d**5 + 0*d**k + d + 0*d**3 + 0*d**4. Factor x(u).
3*u**3*(5*u - 1)/8
Let x = 12769/23616 + 39/2624. Factor x*u - 2/3 + 1/9*u**2.
(u - 1)*(u + 6)/9
Let s be (17/(765/9930))/(1/(-3)). Let k = -2599/4 - s. Factor 0 - 35/4*y**2 - 1/4*y**4 - 13/4*y**3 + k*y.
-y*(y - 1)*(y + 7)**2/4
Let k be (-28 + 660/24)*(1 - 7). Find o, given that 26/3*o**k + 56/3*o + 92/3*o**2 - 16 = 0.
-2, 6/13
Suppose -3 = 3*g - 15. Let a(j) be the first derivative of -g*j**2 + 11 + 4/3*j**3 + 0*j. Factor a(u).
4*u*(u - 2)
Suppose -50*i = -51*i + 18. Let l = -15 + i. Suppose l*y**3 + 49*y - 16*y + 12*y**2 - 17*y - 12 - 19*y = 0. What is y?
-4, -1, 1
Let p(z) be the third derivative of 5 + 0*z + 65/3*z**3 - 2*z**2 + 125/24*z**4 - 1/12*z**5. What is a in p(a) = 0?
-1, 26
Let z be 5 - (-2486)/55 - (-2)/(-10). Let i be (-30)/(-5) + (3 - z/6). Factor 2/9*j**2 + 2/9*j**4 - 2/3*j**3 - 4/9 + i*j.
2*(j - 2)*(j - 1)**2*(j + 1)/9
Let c(q) be the second derivative of q**7/21 + 19*q**6/30 + 7*q**5/4 - 5*q**4/12 - 37*q**3/6 - 7*q**2 - q + 605. Suppose c(x) = 0. What is x?
-7, -2, -1, -1/2, 1
Let h = 183 + -181. Solve -154*d + 7*d**3 + 147*d + 3*d**2 + 0*d**h - 4*d**2 + d**4 = 0 for d.
-7, -1, 0, 1
Let c be (-6)/(-9) + (-40)/(-12). Find y, given that -8*y + 112*y**2 - 108*y**2 + 3*y**3 - 4*y**c + 5*y**3 = 0.
-1, 0, 1, 2
Let g be 2/(-12)*32736/(-2232). Factor g*i - 8/9*i**3 - 16/9*i**2 - 2/3.
-2*(i + 3)*(2*i - 1)**2/9
Factor -17/2*q**2 + 120 - 44*q - 1/2*q**4 + 5*q**3.
-(q - 5)*(q - 4)**2*(q + 3)/2
Let f(w) = -1208*w + 37451. Let x be f(31). What is t in -10/7*t**x - 58/7*t**2 + 18/7 - 78/7*t = 0?
-3, 1/5
Let j(w) be the first derivative of w**4/18 + 26*w**3/9 + 55*w**2 + 450*w + 1390. Factor j(p).
2*(p + 9)*(p + 15)**2/9
Let r(a) be the second derivative of -2*a**4 - 7/6*a**3 - 39*a + 49/4*a**2 + 2 + 7/20*a**5 - 1/60*a**6. Solve r(v) = 0 for v.
-1, 1, 7
Factor -608/13*u - 2/13*u**2 - 1208/13.
-2*(u + 2)*(u + 302)/13
Factor -972/5 - 332/5*h**2 + 1302/5*h + 2/5*h**3.
2*(h - 162)*(h - 3)*(h - 1)/5
Let d = -96 - -98. Solve -30784 + 15*y**3 - 78*y**d + 30784 + 15*y = 0 for y.
0, 1/5, 5
Let w(u) be the first derivative of u**8/168 + u**7/15 + 2*u**6/15 - 8*u**5/15 + 6*u**2 + u + 14. Let k(r) be the second derivative of w(r). Factor k(m).
2*m**2*(m - 1)*(m + 4)**2
Factor -196*z**2 + 1136 - 4/3*z**3 - 2816/3*z.
-4*(z - 1)*(z + 6)*(z + 142)/3
Let t = -697 - -702. Suppose c = -1, 5*z - z = -4*c + 4. Factor -3*i**2 - 2*i**z + 4*i**2 - 16 + t*i**2.
4*(i - 2)*(i + 2)
Let t(h) = 10*h**2 - 296*h - 282. Let c(a) = 3*a**2 - 2*a + 3. Let p(d) = -6*c(d) + 2*t(d). Find b, given that p(b) = 0.
-1, 291
Let z(u) be the third derivative of -u**7/1260 - 47*u**6/720 + 5*u**5/36 + 2*u**4/3 - 3102*u**2. Determine f, given that z(f) = 0.
-48, -1, 0, 2
Let r(t) = t**3 - 4*t**2 + 4*t - 16. Let a be r(4). Factor -98*l - 2*l**2 + a*l**2 + 3*l**2 + 48*l + 290 + 335.
(l - 25)**2
Let j = -349622 + 349622. Let v be (-1)/3 + (-69)/(-45). Find m, given that v*m + j - 2/5*m**2 = 0.
0, 3
Let k(c) = 61*c**4 + 0*c**5 - 2*c**5 - 71*c**4 + 26*c**3 - 8*c**5 - 6*c. Let w(d) = d**5 - d**4 - d**3 + d. Let z(l) = k(l) + 6*w(l). Solve z(x) = 0 for x.
-5, 0, 1
Let z(c) be the first derivative of 23/5*c**5 + 24*c**4 + 76*c**2 + 60 + 1/3*c**6 + 179/3*c**3 + 48*c. What is x in z(x) = 0?
-4, -3/2, -1
Suppose -5 = 5*a - 4*h, 33 = a - 5033*h + 5039*h. Let k(x) be the first derivative of -5/4*x**3 + a*x - 9/16*x**4 + 3/20*x**5 + 9/8*x**2 - 35. Factor k(d).
3*(d - 4)*(d - 1)*(d + 1)**2/4
Let r be (8/(-3))/2*(2 - 5). Suppose -3 = 2*k - 3*b, -5*k - r*b = -3 - 1. Factor -1/6*j**3 + k*j**2 + 1/2*j + 1/3.
-(j - 2)*(j + 1)**2/6
Let f(z) = 5*z**4 + 14*z**3 - 51*z**2 - 2*z. Let c(s) = -2*s**4 + s. Let w(k) = -6*c(k) - 3*f(k). Factor w(p).
-3*p**2*(p - 3)*(p + 17)
Let r = 1403/7 - 200. Let c be (143/308)/((-125)/(-500)). Solve -c*d**3 - 5/7*d**4 - 11/7*d**2 - r*d + 0 = 0 for d.
-1, -3/5, 0
Let s be 1/(7*-1) - (17511/(-273) + 60). Let i(b) be the second derivative of 0 - 7/40*b**5 - 13/12*b**3 - b**2 - 5/8*b**s - 21*b - 1/60*b**6. Factor i(x).
-(x + 1)**3*(x + 4)/2
Let q be 10*(62 - 154297/2490). Determine b so that 1/3*b**4 + 0 - q*b**2 - b + b**3 = 0.
-3, -1, 0, 1
Let f(j) be the third derivative of -j**8/240 - 83*j**7/210 - 263*j**6/120 - 61*j**5/12 - 73*j**4/12 - 56*j**3/15 + 3*j**2 + 161. Find c, given that f(c) = 0.
-56, -1, -2/7
Let v = 5/77 + 57/308. Let w = 5/12 + v. Factor w + 0*l - 2/3*l**2.
-2*(l - 1)*(l + 1)/3
Factor 368/9*g + 2/9*g**2 + 16928/9.
2*(g + 92)**2/9
Let s(q) = -62*q**3 - 706*q**2 - 8596*q - 36332. Let y(w) = 14*w**3 + 157*w**2 + 1910*w + 8074. Let j(x) = 5*s(x) + 22*y(x). Solve j(k) = 0 for k.
-14, -12
Let n(j) be the first derivative of -867*j**5/5 + 765*j**4/2 + 863*j**3 - 1440*j**2 - 3072*j + 1068. Factor n(p).
-3*(p + 1)**2*(17*p - 32)**2
Let j be ((-5)/(-25))/(3/45*1). Find t, given that 4*t**j - 35*t**2 - 2*t**4 + 27*t**2 - 12*t**3 = 0.
-2, 0
Let u(z) = 16*z + 3. Let p be u(0). Suppose 2*n = p*h + 14 - 2, 5*n + 4*h = 7. Factor 0*v - 1/2*v**n + 0 + 1/4*v**4 + 1/4*v**2.
v**2*(v - 1)**2/4
Let v = 427 - 425. Let b be v/(-15) - (-21)/((-4410)/(-28)). Suppose -1/4*m**4 + 1/4*m**5 + 0 + b*m**3 + 0*m + 0*m**2 = 0. What is m?
0, 1
Let f(l) be the second derivative of -41772*l**4/5 + 236*l**3/5 - l**2/10 + 17*l + 51. Factor f(n).
-(708*n - 1)**2/5
Let l be (-18)/(-30) + (-57)/(-30). Let t = -60550 + 60552. What is v in 20/3 + 35/6*v**t + 15*v - l*v**3 = 0?
-1, -2/3, 4
Factor -1909*o**2 + 63*o**3 + 462*o**2 - 61*o**3 - 563*o**2.
2*o**2*(o - 1005)
Suppose 684*g = 720*g. Find t, given that 1/6*t**3 + 1/6*t**2 - 1/3*t + g = 0.
-2, 0, 1
Let t(y) = 6*y**3 - 651*y**2 + 2208*y + 2820. Let w(m) = -m**3 + 93*m**2 - 315*m - 403. Let v(s) = 2*t(s) + 15*w(s). Factor v(z).
-3*(z - 27)*(z - 5)*(z + 1)
Let t = -24/3359 - 5515358/16795. Let s = t - -330. Suppose 4*d**4 - 14/5*d**3 - s*d**2 + 0 - 6/5*d**5 + 8/5*d = 0. Calculate d.
-2/3, 0, 1, 2
Let r(u) be the second derivative of u**6/30 + 21*u**5/20 + 2830*u. Factor r(q).
q**3*(q + 21)
Let r be (96/27 - 4)*-9. Factor 17*x**4 - 8*x**4 + 2*x**2 + r*x**3 - 4*x - 11*x**4.
-2*x*(x - 2)*(x - 1)*(x + 1)
Let k(f) be the third derivative of -f**6/1200 + 29*f**5/200 + 91*f**4/60 + 7519*f**2. Determine c, given that k(c) = 0.
-4, 0, 91
Let h(s) be the third derivative of s**6/480 + 5*s**5/12 + 293*s**4/96 + 97*s**3/12 - 17*s**2 - 7*s. Factor h(f).
(f + 1)*(f + 2)*(f + 97)/4
Suppose -173 = -3*k - 137. Suppose 142*x + k = 144*x. Determine u so that -18/7 + 160/7*u**2 - x*u + 384/7*u**3 = 0.
-3/8, 1/3
Let q(y) be the second derivative of 9/4*y**4 - 27/2*y**3 + 81/2*y**2 + 61*y - 3/20*y**5 + 0. Solve q(t) = 0.
3
Let s(r) be the second derivative of r**5/110 - 97*r**4/66 + 23