/3 - 122*k**2 + 240*k - 51. Determine j so that q(j) = 0.
1, 60
Let y(j) = 3*j**2 + 16*j + 102. Let g(o) = -o**2 - 6*o - 36. Let s(d) = 17*g(d) + 6*y(d). Factor s(c).
c*(c - 6)
Let t = -6 - -38. Let a be t/(-24) - 20/(-6). Factor -18*f**2 - 3*f - f + 16*f**a + 21 - 5.
-2*(f - 2)*(f + 4)
Let s(b) be the first derivative of b**7/1575 - b**6/900 - b**5/450 + b**4/180 - 42*b**2 + 8. Let a(j) be the second derivative of s(j). Factor a(u).
2*u*(u - 1)**2*(u + 1)/15
Determine y so that -155*y**2 - y**3 - 23*y + 87*y**2 + 60*y**2 + 7*y = 0.
-4, 0
Let k be 1295/(-7) - (0 - -4). Let i be ((-4)/22 - k/(-594))*-4. Let -9/11*s - 6/11*s**i + 0 - 1/11*s**3 = 0. Calculate s.
-3, 0
Let j(a) be the second derivative of a**6/330 - 7*a**5/220 + 6*a - 30. Determine c so that j(c) = 0.
0, 7
Let b = 862/2889 - 24/107. Let a(v) be the first derivative of 14 - 4/9*v**2 + 2/3*v + b*v**3. Solve a(g) = 0.
1, 3
Let t be 1 + 1 + 0 + 3. Suppose y - 1 = -2*i + 3, -20 = -4*i - t*y. Solve -24 - 74*w**2 - 27*w**3 + i*w**5 - w**5 - 12*w**3 - 10*w**4 - 68*w = 0 for w.
-3, -2, -1
Factor -995*x + 1007*x + x**3 + 10*x**2 + x**3.
2*x*(x + 2)*(x + 3)
Let i(f) be the third derivative of f**5/100 - 9*f**4/8 + 22*f**3/5 - 2425*f**2. Solve i(k) = 0 for k.
1, 44
Let c(y) be the first derivative of 3*y**3 - 167*y**2/2 + 90*y - 4186. Factor c(k).
(k - 18)*(9*k - 5)
Suppose 9*b = -5*o + 10*b + 28, -16 = 2*o + 3*b. Let g(a) be the third derivative of -4/9*a**o + 0 - 1/45*a**5 - a - 14*a**2 - 14/9*a**3. Solve g(f) = 0 for f.
-7, -1
Let b(i) = -127*i**3 - 6*i**2 - 19*i. Let n(x) = 40*x**3 + 2*x**2 + 6*x. Let r(q) = -6*b(q) - 19*n(q). Let r(f) = 0. What is f?
0, 1
Suppose 0 + 0*v**2 - 1/9*v**5 + 25/9*v**3 + 0*v - 8/3*v**4 = 0. Calculate v.
-25, 0, 1
Suppose -2*j - 24 = -108. Let -21*m - 81*m**2 + j + 41*m**2 - 18*m + 37*m**2 = 0. What is m?
-14, 1
Suppose -2*s - 846 + 854 = 0. Let q be ((-99)/44)/(0 - 6/s). Determine m so that 24*m + 96 + q*m**2 = 0.
-8
Let i be -14*(0 - (1 - 3)) + -2. Let j = i - -37. Factor 27*x**3 - j*x**3 + 88*x**2 + 62*x - 40 - 130*x.
4*(x - 1)*(x + 5)*(5*x + 2)
Let k(s) = -11*s**3 + 209*s**2 + 214*s + 6. Let m be k(-1). Find y, given that -3/4*y**4 + 18*y - m - 9/2*y**3 - 3/4*y**2 = 0.
-4, 1
Let h(m) be the first derivative of 21/4*m**3 + 15*m**2 - 4*m + 1/2*m**4 - 64. Factor h(j).
(j + 4)**2*(8*j - 1)/4
Factor -518*s + 3*s**3 - 63*s - 764*s**2 + s**3 + 0*s**3 - 187*s.
4*s*(s - 192)*(s + 1)
Factor -31/2 - 1/2*m**5 + m**2 + 31*m**3 - 61/2*m + 29/2*m**4.
-(m - 31)*(m - 1)*(m + 1)**3/2
Let p(q) be the first derivative of q**6/240 - 13*q**5/120 + 23*q**4/48 - 11*q**3/12 + 2*q**2 - q - 38. Let l(t) be the second derivative of p(t). Factor l(g).
(g - 11)*(g - 1)**2/2
Let d be 16 - (25 - (21 - 8)). Solve r + 0 - r**3 + 1/3*r**d - 1/3*r**2 = 0 for r.
-1, 0, 1, 3
Let f(s) be the first derivative of s**4/2 - 38*s**3/3 + 18*s**2 + 2124. Factor f(b).
2*b*(b - 18)*(b - 1)
Let v(l) = l**2 - 19*l + 35. Let w be v(27). Suppose 0 = w*o - 244*o. Factor -1/2*p**5 + 5/2*p**4 + o*p + 0 - 7/2*p**3 + 3/2*p**2.
-p**2*(p - 3)*(p - 1)**2/2
Let h be 2644/(-72) - ((-102)/12 + 8). Let q = h + 350/9. Factor -32/3 - q*j - 1/6*j**2.
-(j + 8)**2/6
Factor -28*u**4 + 393*u**2 + 33*u**4 - 18*u**2 + 100*u**3.
5*u**2*(u + 5)*(u + 15)
Solve 6377*z**4 - 6378*z**4 - 23*z**2 + 20*z + 19*z - 15*z**3 = 0.
-13, -3, 0, 1
Suppose 172*g - 29594 = -29250. Solve -2/15*z**g + 4/5*z - 2/3 = 0.
1, 5
Let u(r) = -3. Let n(t) = -2*t**2 + 208*t - 642. Let w(g) = -n(g) + 12*u(g). Let w(j) = 0. Calculate j.
3, 101
Let i(h) = h**5 - h**3 - h**2 - 10. Let t(g) = -11*g**5 - 76*g**4 - 228*g**3 - 302*g**2 - 177*g - 16. Let n(o) = 2*i(o) + t(o). Suppose n(r) = 0. Calculate r.
-3, -1, -4/9
Let f(j) be the third derivative of -j**7/105 - 19*j**6/60 + 7*j**5/5 - 3*j**2 - 35*j. Solve f(x) = 0.
-21, 0, 2
Let h(b) be the third derivative of -b**5/300 - 209*b**4/60 + 28*b**3 + 3209*b**2. Factor h(v).
-(v - 2)*(v + 420)/5
Suppose 9*d - 5*d = 0. Suppose -3*n - 10 + 19 = d. Factor 496*y**n - 2*y**4 - 4*y**2 + 0*y**4 - 6*y**4 - 508*y**3.
-4*y**2*(y + 1)*(2*y + 1)
Let b(r) = -16*r**4 - 14*r**3 + 7*r**2 - r. Let w(v) = -32*v**4 - 27*v**3 + 14*v**2 - 2*v. Let s be 81/(-18)*24/18. Let a(p) = s*w(p) + 11*b(p). Factor a(t).
t*(t + 1)*(4*t - 1)**2
Suppose -3*m + 5 = -5*v, -7*m + 10*m - 3*v = 9. Let c = 20 - 16. Factor -c*k**m - 26 + 4*k**4 + 13 + 13.
-4*k**4*(k - 1)
Solve -1456/9*u**2 - 1568/9*u + 110/9*u**3 - 2/9*u**4 + 0 = 0.
-1, 0, 28
Let c be (24076/21879)/((-2)/3). Let x = c - -70/33. Factor 0 + 8/17*j**2 - x*j - 2/17*j**3.
-2*j*(j - 2)**2/17
Let c(g) be the first derivative of -2*g**3/27 - 25*g**2/3 + 1700*g/9 - 14125. Factor c(j).
-2*(j - 10)*(j + 85)/9
Let s be 415/45 + -9 + 204/54. Let i(x) be the first derivative of 1/12*x**s + 0*x - 20 + 0*x**2 - 1/9*x**3. Factor i(a).
a**2*(a - 1)/3
Let n(u) = -10*u**2 + 2*u. Let o be n(1). Let j be -4*(36/o - -4). Factor -2*q**5 - 4*q**j - 4*q**2 + 4*q**2 + 6*q**3.
-2*q**2*(q - 1)**2*(q + 2)
Let p = 2638 - 2633. Let n(k) be the third derivative of 10*k**2 + 0*k**p + 0 - 1/36*k**4 + 0*k + 1/180*k**6 + 0*k**3. Factor n(q).
2*q*(q - 1)*(q + 1)/3
Let t(v) be the first derivative of 3*v**6/10 + 399*v**5/25 + 2241*v**4/10 + 396*v**3/5 - 1452*v**2/5 + 920. Suppose t(s) = 0. Calculate s.
-22, -1, 0, 2/3
Let k = 526530 + -526526. What is b in -32/5*b + 1/5*b**k + 12/5*b**2 - 64/5 + 8/5*b**3 = 0?
-4, -2, 2
Let x(b) = 9*b**2 + 3*b + 2. Let i be x(-2). Suppose -2*s + i = 26. Find u such that -4*u**2 + 6*u**3 - 4*u**3 + 6*u**s - 8*u + 0*u**3 + 4*u**4 = 0.
-2, -1, 0, 1
Let m = 655 + -183. Suppose -470*r = -m*r + 4. Find l such that -48/5*l - 192/5 - 3/5*l**r = 0.
-8
Suppose -13 = 2*c - 5. Let u be ((30/c)/3)/((-49)/98). Suppose f**2 - u*f - 5*f**3 + 5*f**2 + 4*f**2 = 0. What is f?
0, 1
Let h(x) = 4*x**3 + 152*x**2 + 6539*x + 23719. Let a(n) = -5*n**3 - 150*n**2 - 6537*n - 23720. Let w(y) = 3*a(y) + 4*h(y). Factor w(f).
(f + 4)*(f + 77)**2
Suppose -64 = -37*u + 10. Let b(w) be the first derivative of 7 + 1/12*w**3 + 0*w - 1/4*w**u. Find t, given that b(t) = 0.
0, 2
Let -112/5*m + 114/5 - 2/5*m**2 = 0. Calculate m.
-57, 1
Find v such that -46*v**3 + 14016*v**2 - 97280*v - 273*v**3 - v**3 + 184832 + 2*v**4 = 0.
4, 76
Factor 0 + 2/25*j**3 + 386/25*j + 388/25*j**2.
2*j*(j + 1)*(j + 193)/25
Let j(u) be the first derivative of -46*u**6/3 + 468*u**5/5 - 79*u**4 - 436*u**3/3 + 204*u**2 - 32*u + 7861. Find h such that j(h) = 0.
-1, 2/23, 1, 4
Solve -130892 - 1964*p + 238*p - 82975 - p**2 - 2*p**2 + 124*p = 0 for p.
-267
Let y(c) = 292*c**2 + 10*c + 44. Let p be y(-5). Factor p*t**3 - 2*t**4 + 4*t**4 - 7298*t**3.
2*t**3*(t - 2)
Let y(n) be the first derivative of -8*n**6/3 - 1132*n**5/5 + 651*n**4 - 1748*n**3/3 + 146*n**2 - 5462. Solve y(c) = 0 for c.
-73, 0, 1/4, 1
Let x = -4505 - -6636. Let w = x + -4251/2. Factor 1/2*m**4 - 3/2 + w*m - 1/2*m**5 - 7*m**2 + 3*m**3.
-(m - 1)**4*(m + 3)/2
Determine r so that 70/3*r**3 - 3872/9*r + 0 + 704/9*r**2 + 2/9*r**5 - 44/9*r**4 = 0.
-4, 0, 4, 11
Let n be (72/99)/(204/748). Determine m so that 1/3*m**3 - 2/3*m**2 + n - 4/3*m = 0.
-2, 2
Suppose -22*t = 11*t - 34749. Let j = t + -1051. Suppose -78/7*r + 3/7 + 507/7*r**j = 0. Calculate r.
1/13
Suppose 2*t - 26 = -3*d - 2, -3*t = 2*d - 11. Suppose 117 - 107 = d*o. Determine g, given that 7/8*g**3 - o + 5/2*g - 9/4*g**2 - 1/8*g**4 = 0.
1, 2
Let j be (-2860)/3960 + 28/(-96)*-4. Find p, given that -16/9*p + 20/9*p**2 - j = 0.
-1/5, 1
Let q(v) be the first derivative of 9/35*v**5 + 0*v - 1/21*v**6 - 80 - 15/28*v**4 + 11/21*v**3 - 3/14*v**2. What is t in q(t) = 0?
0, 1, 3/2
Solve -4287/4*i**2 - 6126123/8*i - 3/8*i**3 + 0 = 0.
-1429, 0
Let q(r) be the first derivative of -10/19*r**3 + 50 + 1/19*r**4 - 18/19*r - 26/19*r**2. Factor q(p).
2*(p - 9)*(p + 1)*(2*p + 1)/19
Let r(o) be the third derivative of o**8/1512 + 8*o**7/945 + 7*o**6/180 + 11*o**5/135 + 2*o**4/27 + 1001*o**2 - 4. Suppose r(t) = 0. What is t?
-4, -2, -1, 0
Suppose -78 + 19 + 44*f**2 - 188*f + 21*f**3 - 184*f + 11*f**3 - 85 = 0. What is f?
-4, -3/8, 3
Let s(x) be the second derivative of -x**6/2 - 22*x**5 - 2455*x**4/12 - 385*x**3/3 + 8654*x. Find n, given that s(n) = 0.
-22, -7, -1/3, 0
Let s(v) be the first derivative of 20/9*v**4 + 32 - 13/3*v**2 - 40/9*v - 1/27*v**6 + 4/5*v**5 + 4/2