292)**3/5
Let t = -56485 - -56487. Determine j, given that 8 + 5*j + 1/2*j**t = 0.
-8, -2
Let r = 59 - 56. Suppose -f = -v, -r*f - v - 35 = -43. What is c in 2/7*c**4 - 6/7*c**f - 10/7*c - 4/7 + 2/7*c**3 = 0?
-1, 2
Let a = 10787 + -10785. Let m(y) be the second derivative of 0*y**4 + 1/11*y**a + 21*y - 1/165*y**6 + 2/33*y**3 + 0 - 1/55*y**5. Let m(q) = 0. What is q?
-1, 1
Let i(p) be the second derivative of p**4/66 - 14*p**3/33 + 3*p**2 - 562*p. Find h such that i(h) = 0.
3, 11
Let c = 363425/4 - 90855. Solve 0*g + 5/4*g**4 + 0 - 5/4*g**2 - 5/4*g**3 + c*g**5 = 0 for g.
-1, 0, 1
Determine s so that -708 + 32 - 2400*s + 3*s**2 + 3045*s - 626 = 0.
-217, 2
Factor -35*w - 2*w**2 + 7621 + 141*w - 5413.
-2*(w - 69)*(w + 16)
Let g(a) be the second derivative of 2*a - 81/2*a**3 - 1/14*a**7 - 45/2*a**4 + 47 - 81/2*a**2 - 11/10*a**6 - 69/10*a**5. Let g(w) = 0. Calculate w.
-3, -1
Factor 2*r**3 - 2*r**2 - r**2 + 6*r**2 - 104*r - r**2 - 10*r**2 - 160.
2*(r - 10)*(r + 2)*(r + 4)
Let q(w) = -w**2 - 6*w + 29. Let t be q(-9). Let f = 282/23 - 1618/207. Find o such that -f*o + 100/9 + 4/9*o**t = 0.
5
Suppose 2*s - 21 = -3*p + 16, -4*s - 695 + 751 = 0. Factor 9/4*f + 9/4*f**2 + 3/4*f**p + 3/4.
3*(f + 1)**3/4
Let z be (-2)/11 + (-554)/(-22). Suppose 0 = -5*h - 0*h + z. Suppose 6 + 23*c**2 + 5*c**4 - 8*c - 1 + 3*c + 10*c**3 - h*c**5 - 33*c**2 = 0. Calculate c.
-1, 1
Factor 0 + 56*w - 162/5*w**4 + 5742/5*w**3 - 2528/5*w**2.
-2*w*(w - 35)*(9*w - 2)**2/5
Suppose 30 = 95*d + 72 - 232. Factor 1/2*v - 1/4*v**3 + 1/4*v**d + 0.
-v*(v - 2)*(v + 1)/4
Let x = 164 + -151. Suppose 10*a + 20*a**3 + x*a**4 + 28*a**4 + 25*a**2 - 36*a**4 = 0. Calculate a.
-2, -1, 0
Find f such that 4/3*f**2 + 168 - 60*f = 0.
3, 42
Let s(a) be the third derivative of -a**8/1008 - 41*a**7/315 + 169*a**6/360 + 41*a**5/90 - 7*a**4/3 - 2*a**2 - 244*a. What is n in s(n) = 0?
-84, -1, 0, 1, 2
Let k(q) be the first derivative of -4*q**3/21 - 100*q**2/7 + 416*q/7 - 412. Find u such that k(u) = 0.
-52, 2
Let w(y) be the first derivative of y**4/32 - y**3/6 + y**2/16 + 3*y/4 + 1400. Solve w(i) = 0 for i.
-1, 2, 3
Determine f so that -71729 - 343*f - 17767 + 20018 - 2*f**2 - 15394 - 481*f = 0.
-206
Let q(h) be the second derivative of 0*h**5 + 1/4*h**4 + 2/3*h**3 - 1/60*h**6 + 0 + 118*h + 3/4*h**2. Solve q(y) = 0 for y.
-1, 3
Solve 1/2*t**4 + 184*t + 172*t**2 + 55/2*t**3 - 384 = 0 for t.
-48, -4, 1
Let o(w) be the third derivative of w**8/6720 + w**7/2016 - w**6/1440 - 47*w**5/60 + 45*w**2. Let h(y) be the third derivative of o(y). Solve h(f) = 0 for f.
-1, 1/6
Let y(h) be the first derivative of h**4 + 8*h**3/3 - 2*h**2 - 8*h - 6986. Factor y(r).
4*(r - 1)*(r + 1)*(r + 2)
Suppose x = 2*w + 2*x - 23, 3*x + 21 = 3*w. Suppose 0 = -11*f + 6*f + w. Determine d so that 3*d - 3 + 13 - 10*d**f - 8 + 5*d = 0.
-1/5, 1
Suppose 37*v + 35*v = 72. Let l be 1712/2354*(v/(-2) + 1). Factor 50/11*g**3 + 6/11*g + 18/11*g**4 + 42/11*g**2 - l.
2*(g + 1)**3*(9*g - 2)/11
Let q(t) = -5*t**2 - 170*t + 1443. Let w(v) = -87*v**2 - 2895*v + 24531. Let n(b) = -69*q(b) + 4*w(b). Factor n(j).
-3*(j - 37)*(j - 13)
Let h(n) = -n**3 - 9*n**2 - 13*n + 9. Let u be h(-7). Let c(j) = 2*j**2 + 2. Let q(a) = -34*a**2 - 4*a - 36. Let y(o) = u*q(o) + 36*c(o). Factor y(p).
4*p*(p - 2)
Factor 324/11 + 2/11*p**3 - 18/11*p - 36/11*p**2.
2*(p - 18)*(p - 3)*(p + 3)/11
Let l(k) be the third derivative of k**5/180 + k**4/4 - 20*k**3/9 - 6*k**2 - 257*k. Factor l(a).
(a - 2)*(a + 20)/3
Let d be (-22 - -18)*((-26)/4 - 0). Factor -4 - 3*z**2 + 0*z**2 + d*z + 31 + 54*z.
-(z - 27)*(3*z + 1)
Let w(q) be the second derivative of q**8/16800 - q**7/6300 - q**6/900 - 31*q**4/6 - 59*q. Let i(g) be the third derivative of w(g). What is p in i(p) = 0?
-1, 0, 2
Let k(n) be the first derivative of 4*n**5/5 + 8*n**4 + 68*n**3/3 - 4*n**2 - 96*n + 634. Determine u, given that k(u) = 0.
-4, -3, -2, 1
Let p = 96 - 94. Let 174*f**p - 5*f + 12 - 171*f**2 - 7*f = 0. Calculate f.
2
Let d(f) be the third derivative of 19/30*f**5 - 4*f - 7/60*f**6 + 10*f**2 + 0 - 4/3*f**3 - 2/3*f**4. Factor d(x).
-2*(x - 2)*(x - 1)*(7*x + 2)
Suppose -4*x + 3*f - 1 + 4 = 0, x + 3*f = 12. Find o, given that -2*o**4 - 138*o**2 - 4608 - 147*o + 52*o**x - 2349*o - 8*o**2 = 0.
-3, 16
Let w(b) = -b + 22. Let g be w(13). Suppose 0 = g*u - 7*u - 8. Factor 2*c**2 + u*c - 3*c - 2*c**3 + 3*c**3.
c*(c + 1)**2
Let g(i) be the second derivative of -i**5/130 - 103*i**4/39 - 409*i**3/39 - 204*i**2/13 + 485*i. Factor g(u).
-2*(u + 1)**2*(u + 204)/13
Determine r so that 53/3*r**3 + 1/3*r**4 - 406/3 - 101*r**2 - 761/3*r = 0.
-58, -1, 7
Factor 35*g + 24 + 52*g - 142*g + 0*g**2 + 33*g - 2*g**2.
-2*(g - 1)*(g + 12)
Let j(a) be the second derivative of -a**4/27 - 344*a**3/3 - 133128*a**2 + 20*a + 14. Find l, given that j(l) = 0.
-774
Let x = 4374/25 + -8723/50. Solve -2/3*y**3 - 1/3*y**4 + 0 + 1/3*y**2 + x*y + 1/6*y**5 = 0.
-1, 0, 1, 3
What is t in -30 - 266/9*t**2 + 538/9*t - 2/9*t**3 = 0?
-135, 1
Factor 0 + 0*c - 4/5*c**3 + 12/5*c**2 - 3/5*c**4 + 1/5*c**5.
c**2*(c - 3)*(c - 2)*(c + 2)/5
Solve 28/3*i**3 - 274/3*i**2 + 640/3*i + 50 = 0 for i.
-3/14, 5
Let a(o) be the first derivative of -o**7/56 - o**6/40 + 3*o**5/16 - 3*o**4/16 + 152*o + 27. Let v(w) be the first derivative of a(w). Factor v(k).
-3*k**2*(k - 1)**2*(k + 3)/4
Let m = -92193 + 276580/3. Factor -13/6*a - 1/6*a**5 + a**3 - 2/3*a**2 - 1 + m*a**4.
-(a - 3)*(a - 2)*(a + 1)**3/6
Let s(l) be the first derivative of 3*l**4/20 - 721*l**3/5 + 388797*l**2/10 + 390963*l/5 - 2441. Factor s(f).
3*(f - 361)**2*(f + 1)/5
Let a(s) be the second derivative of -s**5/4 - 355*s**4/4 - 18725*s**3/2 + 57245*s**2/2 - 3*s - 220. Find i, given that a(i) = 0.
-107, 1
Find y, given that 1/4*y**3 - 9/2 + 21/4*y - 2*y**2 = 0.
2, 3
Let l = 49523 - 346601/7. Let -l + 72/7*j + 3/7*j**3 - 27/7*j**2 = 0. Calculate j.
2, 5
Suppose 8 = -2*t, -z - 5*t - 5 = 6. Suppose -2*c + z*c - 1589 = 0. Factor c + 4*h**5 - 227 + 18*h**3 - 2*h**3 - 16*h**4.
4*h**3*(h - 2)**2
Let h(m) be the second derivative of m**7/294 - 17*m**5/140 - 3*m**4/7 - 10*m**3/21 + 4*m - 252. Find u, given that h(u) = 0.
-2, -1, 0, 5
Suppose -45*p - 19119 = -5079. Let v be 24/(-372) - p/31. Solve 0*d + 0 + 0*d**3 + v*d**2 + 5/2*d**5 - 15/2*d**4 = 0.
-1, 0, 2
Let v(g) be the first derivative of -g**6/42 + 114*g**5/35 + 85*g**4/4 - 3824. Find b such that v(b) = 0.
-5, 0, 119
Suppose 7*w + 2*j - 3996 = 11*w, -5*j + 1017 = -w. Let x = 999 + w. Factor -2/7 - 1/7*a**x + 3/7*a.
-(a - 2)*(a - 1)/7
Let f(j) = 55 + 35*j + 47*j - 27*j - 6*j**2 - 4*j**2. Let n(z) = -z**2 + 6*z + 6. Let l = 36 - 30. Let p(g) = l*f(g) - 55*n(g). Factor p(r).
-5*r**2
Let i(a) be the third derivative of 0*a + 0*a**3 + 2/25*a**5 + 15*a**2 + 0 + 1/200*a**6 - 9/40*a**4. Find b, given that i(b) = 0.
-9, 0, 1
Suppose -u - 3 = -6. Solve 323*t**2 + t - u*t + t - 322*t**2 = 0 for t.
0, 1
Let b(x) be the first derivative of x**6/42 - x**4/14 + x**2/14 - 1416. Let b(d) = 0. Calculate d.
-1, 0, 1
Let h = 281 + -44. Let w = -235 + h. Factor -2/5*j**w + 8/5*j + 0.
-2*j*(j - 4)/5
Let r(q) = -q**3 - 4*q**2 + 2*q + 3. Let i be r(-3). Let b be -101 - -103 - (-10)/i. Find a, given that -b*a - 1/6*a**3 + 5/6*a**2 + 1/2 = 0.
1, 3
Determine i, given that 3/5*i**3 - 72/5*i - 51/5*i**2 + 3024/5 = 0.
-7, 12
Let j(d) be the second derivative of -57*d + 0 + 13/4*d**5 - 5/4*d**4 - 2/3*d**6 + 0*d**3 + 0*d**2. What is a in j(a) = 0?
0, 1/4, 3
Let j(o) be the first derivative of -o**3/3 + o**2/2 + o - 3136. Let i = 1 + -3. Let f(a) = a**3 - 3*a**2 + 11*a - 5. Let x(z) = i*f(z) - 10*j(z). Factor x(n).
-2*n*(n - 4)**2
Let o be (4/41)/(108438/(-4346) - -25). Suppose 6/5*f**o - 2/5*f - 8/5 + 1/10*f**4 + 7/10*f**3 = 0. What is f?
-4, -2, 1
Suppose -x - 20*x = 5*x + 4*x. Let r(l) be the first derivative of 17 - 4*l**2 + 3/2*l**4 + 4/5*l**5 - 8/3*l**3 - 1/3*l**6 + x*l. Factor r(z).
-2*z*(z - 2)**2*(z + 1)**2
Let h(o) be the third derivative of -o**7/35 + 13*o**6/45 + 5*o**5/6 + 7*o**4/18 - 1097*o**2. Solve h(d) = 0.
-1, -2/9, 0, 7
Let d(a) = -5*a**4 - 1615*a**3 + 131185*a**2 - 257600*a + 127990. Let l(k) = -2*k**4 - k**3 - 4*k**2 - 2. Let c(i) = d(i) - 5*l(i). Factor c(g).
5*(g - 160)**2*(g - 1)**2
Suppose 3*v - 9*t = -12*t + 15, -4*v = 5*t - 19. Let k(a) be the first derivative of 1/6*a**v + 4/