 15/2*m**2 + 0 + 3/4*m**3.
3*m**2*(m - 10)/4
Let y be ((-408)/(-88) - 9)*(-18)/54. Factor 2/11*f**2 + y + 12/11*f.
2*(f + 2)*(f + 4)/11
Let o(u) = 5*u**2 - u + 2. Let s(i) = 21*i**2 - 3*i + 9. Suppose 12*v + 41 - 17 = 0. Let b(f) = v*s(f) + 9*o(f). Factor b(l).
3*l*(l - 1)
Let 5816/7*m + 4228232/7 + 2/7*m**2 = 0. What is m?
-1454
Suppose 545*r - 517*r = 0. Let t(v) be the second derivative of 1/6*v**4 - 14/15*v**6 - 14*v + 0*v**2 + 0 + r*v**3 + 5/14*v**7 + 11/20*v**5. Factor t(s).
s**2*(s - 1)**2*(15*s + 2)
Let a(f) be the second derivative of 3*f + 35/2*f**2 - 5*f**3 + 26 - 5/12*f**4. Solve a(v) = 0 for v.
-7, 1
Suppose 4*s = -21*s - s. Let r(z) be the first derivative of 5/4*z**4 + 0*z - 5/2*z**2 - 1 + s*z**3. Factor r(f).
5*f*(f - 1)*(f + 1)
Let j(o) be the first derivative of o**6/6 + 21*o**5/4 + 65*o**4 + 1240*o**3/3 + 1440*o**2 + 193*o + 221. Let w(h) be the first derivative of j(h). Factor w(t).
5*(t + 4)**3*(t + 9)
Let f(s) be the third derivative of -s**8/672 + s**7/210 + 3*s**6/80 - 11*s**5/60 - s**4/12 + 2*s**3 - 146*s**2 + 3*s. Factor f(g).
-(g - 2)**3*(g + 1)*(g + 3)/2
Let g(b) be the second derivative of 22*b**2 + 0*b**3 - 1/36*b**4 - 1/90*b**5 + 0 - 35*b. Let j(i) be the first derivative of g(i). Factor j(k).
-2*k*(k + 1)/3
Let j be (-360)/(-130)*(-325)/(-550). Find f, given that j*f**3 + 1/11*f**5 + 0 - 20/11*f**2 + 8/11*f - 7/11*f**4 = 0.
0, 1, 2
Let f(q) = 45*q**2 + 683*q - 1401. Let v(b) = -16*b**2 - 228*b + 468. Let k(a) = -4*f(a) - 13*v(a). Solve k(u) = 0.
-10, 12/7
Let v = 100 - 76. Let c be (-3)/2*v/(-18). Find f such that -c*f**2 + 24*f + 2 - 14*f + f**3 - 5*f - 6*f = 0.
-1, 1, 2
Suppose -139 - 25 = -41*s. What is p in -5*p**4 + 273*p**2 - 20*p + 5*p**3 - s - 253*p**2 + 4 = 0?
-2, 0, 1, 2
Let w(m) be the second derivative of -m**6/6 + 25*m**5/4 + 40*m**4/3 - 130*m**3 - 44*m + 15. Factor w(t).
-5*t*(t - 26)*(t - 2)*(t + 3)
Suppose 2/13*j**3 + 246/13*j - 126/13*j**2 - 122/13 = 0. What is j?
1, 61
Let d be (3 - 18/(-30)) + 4/10. Suppose -d*q + 5*a = -15 - 26, 0 = 2*q - 2*a - 18. Factor -12/7*p**3 - 6/7*p + 0 + 15/7*p**2 + 3/7*p**q.
3*p*(p - 2)*(p - 1)**2/7
Suppose -3*x = -5*b + 124 + 40, -16 = -4*b. Let s = 52 + x. Factor 2*n**2 - 5*n + 10*n**2 - 2*n + s*n.
3*n*(4*n - 1)
Let z(s) be the third derivative of s**7/42 - 7*s**6/24 - 19*s**5/4 + 2275*s**4/24 - 980*s**3/3 + 2987*s**2. Factor z(w).
5*(w - 7)**2*(w - 1)*(w + 8)
Let l(d) be the third derivative of d**7/8820 + d**6/2520 - d**5/210 - d**4/24 - 10*d**3/3 + 37*d**2. Let u(o) be the second derivative of l(o). Factor u(z).
2*(z - 1)*(z + 2)/7
Let z(h) = -h**3 + h**2 - 5*h + 2. Let p(n) = 3*n - 51. Let w be p(17). Let m be z(w). Determine o, given that 4/3*o - 14/3*o**m + 0 = 0.
0, 2/7
Let d(u) be the second derivative of -u**7/70 + 4*u**6/25 - 9*u**5/100 - 8*u**4/5 + 14*u**3/5 - 7*u + 7. Suppose d(q) = 0. What is q?
-2, 0, 1, 2, 7
Let v(w) be the second derivative of 5*w**8/336 - w**7/21 + w**5/6 - 5*w**4/24 + 54*w**2 + w + 6. Let n(c) be the first derivative of v(c). Factor n(q).
5*q*(q - 1)**3*(q + 1)
Let i be (5/10)/(40/120). Determine q so that i*q + 1/4*q**2 + 5/4 = 0.
-5, -1
Suppose 18*p = 15*p. Let x be -1 - -3 - (6/(-3) + p). What is m in 66*m**4 - 10*m**2 + m**3 - 61*m**x + 4*m**3 = 0?
-2, 0, 1
Let h be 25 + (-856)/32 + 5/2. Let l(q) be the second derivative of 3/20*q**5 + 0*q**3 + h*q**4 + 0 + 2*q + 0*q**2. Solve l(n) = 0 for n.
-3, 0
Let w be (-859)/(-6) + -9 - (3 + -1). Let y = w + -132. Find f such that 0*f + y*f**3 + 1/2*f**5 + 1/6*f**2 - 5/6*f**4 + 0 = 0.
-1/3, 0, 1
Determine f, given that -39/8*f**2 - 1/8*f**3 + 605/2 - 33*f = 0.
-22, 5
Let -435/2 - 753/2*v**3 - 2280*v**2 - 5451/4*v - 27/4*v**5 + 423/2*v**4 = 0. What is v?
-2, -1/3, 5, 29
Let l be ((-1)/(-20)*-3201)/(5712/(-20)). Let s = 3/272 + l. Factor -2/7*p**2 - 2/7 - s*p.
-2*(p + 1)**2/7
Let s(j) = -2*j**2 + 26*j - 42. Let o be s(11). Determine z so that 26*z - 9*z - 5*z**2 - o*z = 0.
0, 3
Suppose 420 = 3*l + 2*l. Let t be l/(-7)*(-2)/8. What is k in 3*k + k**2 + 0*k**3 - k**2 - 3*k**t = 0?
-1, 0, 1
Factor 2*a**4 - 1782 - 220*a**2 - 318*a**3 + 618*a**3 - 316*a**3 + 2016*a.
2*(a - 9)**2*(a - 1)*(a + 11)
Let v(d) be the first derivative of -2*d**3/39 + 15*d**2/13 + 32*d/13 - 4179. Factor v(o).
-2*(o - 16)*(o + 1)/13
Let w be (-110)/30*(-25)/(-235)*-3. Let u = w + 3305/188. Suppose 105/2*z + 147/4 + u*z**2 = 0. Calculate z.
-7/5
Let b(y) be the first derivative of y**6/144 + y**5/4 + 26*y**3 + 72. Let p(v) be the third derivative of b(v). Let p(f) = 0. Calculate f.
-12, 0
Suppose -v + 2 + 0 = 0. Let o = 947 - 945. Suppose 2 + 4*h**o - 2*h**v + 10 - 5*h**2 = 0. Calculate h.
-2, 2
Suppose -5 = -5*q, -619 - 1023 = 3*z - 4*q. Let r be 6/z*-26 + 4/35. Find s such that 98/5 - 26/5*s**2 + r*s**3 + 14*s = 0.
-1, 7
Suppose -97267*b + 97236*b = -62. Factor 1/7*v**5 - 3/7*v**3 + 5/7*v**b - 2/7*v - 1/7*v**4 + 0.
v*(v - 1)**3*(v + 2)/7
Let q(l) be the first derivative of -55*l**2/2 - 548*l + 486. Let t be q(-10). Factor -1/4*m**3 + 3/4*m**t - 1/2*m + 0.
-m*(m - 2)*(m - 1)/4
Let l(u) be the first derivative of 4*u**3/3 + 18*u**2 + 6846. Suppose l(a) = 0. Calculate a.
-9, 0
Let s(m) = 16*m**2 - 27*m - 360. Let j(o) = 23*o**2 - 42*o - 540. Let i(k) = -5*j(k) + 7*s(k). Factor i(q).
-3*(q - 12)*(q + 5)
Determine u, given that -13512/5*u - 3/5*u**2 - 15214512/5 = 0.
-2252
Let o = -476 + 482. Factor 32*j**2 + 46 - o + 8*j**3 - 34 + 26*j.
2*(j + 3)*(2*j + 1)**2
Let d(w) be the second derivative of -w**4/4 + 353*w**3 - 2115*w**2/2 + 8010*w. Factor d(o).
-3*(o - 705)*(o - 1)
Let d(h) = -h**2 + 2*h + 10. Let w be d(4). Factor 17*t**4 - 20*t**4 + w*t**4 + 2*t**4.
t**4
Suppose -20*k = -40*k + 22*k, 3*k = -4*n + 5*k + 20. Suppose -n*v + 0*v**2 + 0 + 5/4*v**3 = 0. What is v?
-2, 0, 2
Let y(j) = -29*j**2 + 448*j - 906. Let k(o) = 170*o**2 - 2690*o + 5435. Let d(c) = 6*k(c) + 35*y(c). Factor d(m).
5*(m - 90)*(m - 2)
Let t(z) be the third derivative of -5*z**8/288 + 475*z**7/126 - 11009*z**6/48 + 13333*z**5/18 + 22445*z**4/36 + 2*z**2 - 277. Determine h, given that t(h) = 0.
-2/7, 0, 2, 67
Let v(w) be the second derivative of -203*w + 0 - 2*w**4 - 18*w**2 - 3/20*w**5 - 19/2*w**3. Factor v(l).
-3*(l + 1)*(l + 3)*(l + 4)
Let y(m) be the first derivative of 5*m**3/3 - 4315*m**2/2 + 4310*m - 4811. Factor y(z).
5*(z - 862)*(z - 1)
Let a(v) = 4374*v**2 + 22695*v + 29410. Let w(c) = -10935*c**2 - 56736*c - 73524. Let n(q) = 12*a(q) + 5*w(q). Factor n(o).
-3*(27*o + 70)**2
Suppose -165 = 2*u - 17*u. Determine n so that 33*n**3 - u + 36*n**3 - 74*n**3 + 5*n - 35*n**2 + 46 = 0.
-7, -1, 1
Let k(i) = -8*i**2 - 152*i + 330. Let a(g) = -175*g**2 - 3345*g + 7260. Let x(j) = 3*a(j) - 65*k(j). Factor x(c).
-5*(c - 2)*(c + 33)
Suppose -6*y**3 - 5*y - 210*y**2 + 11*y**3 + 129 + 0*y + 81 = 0. Calculate y.
-1, 1, 42
Let x(o) be the second derivative of -o**4/60 + 2*o**3/15 + o**2/2 + o - 1731. Factor x(t).
-(t - 5)*(t + 1)/5
Let q(n) be the second derivative of -n**4/4 + 26*n**3 - 630*n**2 + 3305*n. Let q(u) = 0. What is u?
10, 42
Let c(j) be the second derivative of 27*j**5/100 + 13*j**4/5 - 78*j**3/5 + 48*j**2/5 - 1358*j. Factor c(g).
3*(g - 2)*(g + 8)*(9*g - 2)/5
Let o(d) be the second derivative of -d**4/24 - 991*d**3/6 - 982081*d**2/4 + 2*d - 6328. Factor o(b).
-(b + 991)**2/2
Find c, given that -121/8*c**2 + c + 127/8*c**3 + 0 - 7/4*c**4 = 0.
0, 1/14, 1, 8
Let t = 9 + 122. Let x = -94 + t. Factor 35*n**5 + 0*n**3 - 13*n**3 + 8*n**4 + 4*n**2 - x*n**5 + 3*n**3.
-2*n**2*(n - 2)*(n - 1)**2
Let i be 2 + (4/(-4) - 77). Let w = i + 82. Factor 4 + 6*a**2 - 2*a**2 - w*a + 0*a**2 - 2*a.
4*(a - 1)**2
Let f(j) = -j**2 + 19*j - 114. Let g be f(12). Let q be (6/g*0)/3. Let 0 + 2/7*x**2 + 0*x - 2/7*x**4 + q*x**3 = 0. Calculate x.
-1, 0, 1
Let u(w) be the third derivative of w**8/2688 - 43*w**7/1680 + 13*w**6/320 + 127*w**5/480 - 5*w**4/24 - 7*w**3/4 + 2251*w**2. Let u(m) = 0. Calculate m.
-1, 1, 2, 42
Let z(u) = -6*u**2 + 1545*u - 1611. Let t(d) = 9*d**2 - 3091*d + 3202. Let i(h) = -3*t(h) - 5*z(h). Let i(k) = 0. What is k?
-517, 1
Suppose -133*c = -180704 + 180438. What is g in -8/13*g + 2/13*g**4 + 4/13*g**3 - 6/13*g**c + 8/13 = 0?
-2, 1
Factor 52/5*p**2 - 932/5*p - 72/5.
4*(p - 18)*(13*p + 1)/5
Let m(k) = -14*k**3 + 4*k**2 + 3*k. Let c be m(-1). Suppose -