f + 1)
What is g in 23*g**4 - 7845*g**2 + 647*g**4 + 6*g**5 + 9456*g - 1860 + 18*g**5 + 256*g**4 + 544*g**4 - 1245*g**3 = 0?
-62, -5/2, 1/4, 1, 2
Let g(v) be the third derivative of v**6/240 + 7*v**5/60 - 185*v**4/48 - 33*v**3/2 - 1263*v**2. Factor g(t).
(t - 9)*(t + 1)*(t + 22)/2
Suppose 3*j + 7*j = 220. Suppose 22*g**4 + 12*g**5 + 0*g**4 - 10*g - j*g**2 + g**3 - g**3 - 2*g**3 = 0. What is g?
-1, -5/6, 0, 1
Let 192*a - 21 - 12*a**2 + 65*a - 170*a = 0. What is a?
1/4, 7
Determine b, given that -14247*b**2 + 422 - 56*b - 30 + 14249*b**2 = 0.
14
Let s(v) be the second derivative of -7*v**5/20 + 13*v**4/6 - 5*v**3/2 + 9*v + 121. Determine x so that s(x) = 0.
0, 5/7, 3
Determine m so that 5*m**4 + 6*m**2 + 5*m**3 + 6*m**3 + 3*m**3 - 24*m - 3*m**4 + 2*m**2 = 0.
-6, -2, 0, 1
Let m be 2007/(-2676) - (-2)/3*3/2. Let -17/4*p**2 + 9/2*p - m*p**3 + 0 = 0. What is p?
-18, 0, 1
Let t(x) be the third derivative of x**7/105 - 2*x**6/15 - 17*x**5/30 + 17*x**4 - 60*x**3 + 1451*x**2. Factor t(u).
2*(u - 6)**2*(u - 1)*(u + 5)
Let b(m) be the third derivative of -m**7/126 - 7*m**6/24 + 5*m**5/4 - 115*m**4/72 - 2724*m**2 - 2. Factor b(h).
-5*h*(h - 1)**2*(h + 23)/3
Let t be (-84)/7 - -4 - -8. Let p(y) be the first derivative of -9 + t*y - 2/27*y**3 + 2/45*y**5 + 1/9*y**2 - 1/18*y**4. Determine u so that p(u) = 0.
-1, 0, 1
Let w be (36/(-24))/((-4)/8). Factor p**5 + 250*p - p**5 - 6*p**3 - 91*p**w - 28*p**4 - 2*p**5 - 100*p**2 - 23*p**3.
-2*p*(p - 1)*(p + 5)**3
Let t(d) be the third derivative of -d**5/60 - 43*d**4/12 - 1849*d**3/6 - 25*d**2 + 19. Factor t(x).
-(x + 43)**2
Let o(q) = -50*q**2 - 10*q - 10. Let j(z) = -z**3 - 49*z**2 - 8*z - 8. Let d(i) = -5*j(i) + 4*o(i). Solve d(y) = 0 for y.
-9, 0
Let q(u) = -u**3 + 9*u**2 + u - 31. Let b(z) be the first derivative of 2*z**3/3 - 6*z - 61. Suppose 31 = 4*n - 13. Let h(i) = n*b(i) - 2*q(i). Factor h(s).
2*(s - 1)*(s + 1)*(s + 2)
Let c(i) be the second derivative of i**6/180 - i**5/10 - 7*i**4/36 + i**3/3 + 13*i**2/12 + 4*i + 7. Factor c(h).
(h - 13)*(h - 1)*(h + 1)**2/6
Let o be 8/72 - 119/1260. Let v(t) be the third derivative of -1/15*t**4 - 3*t**2 + 0*t + 0 - o*t**6 + 0*t**3 - 1/525*t**7 - 4/75*t**5. Factor v(a).
-2*a*(a + 1)*(a + 2)**2/5
Let g(s) = 16*s**2 + 48*s - 45. Let v(p) = 16*p**2 + 47*p - 33. Let h(x) = 2*g(x) - 3*v(x). Find a such that h(a) = 0.
-3, 3/16
Let t = 482 - 482. Factor -5 - 19 + 3*a**2 - a**2 + t + 2*a.
2*(a - 3)*(a + 4)
Let t(r) be the third derivative of r - 1/12*r**4 - 1/20*r**5 - 1/120*r**6 + 0 - 9*r**2 + 0*r**3. Determine o, given that t(o) = 0.
-2, -1, 0
Let l(y) be the first derivative of y**4/6 - 58*y**3/9 + 80*y**2 - 408*y + 1504. Factor l(r).
2*(r - 17)*(r - 6)**2/3
Find q such that 249*q - 8*q**3 - 251*q + 310*q**2 - 14*q**3 - 310 + 24*q**3 = 0.
-155, -1, 1
Factor 57*c**2 - 29*c - 18*c**3 - 90*c**4 + 2*c + 50*c**4 + 43*c**4 - 15*c**3.
3*c*(c - 9)*(c - 1)**2
Let h(z) be the third derivative of -z**5/45 - 5*z**4/2 + 188*z**3/9 - 8816*z**2. Factor h(c).
-4*(c - 2)*(c + 47)/3
Factor z**5 - 6941*z + 6941*z - 10*z**4.
z**4*(z - 10)
Suppose 27*v - 66 + 12 = 0. Find m such that 14*m + 59*m**5 - 2*m**v + 6*m - 12*m**2 - m**3 + 4*m**4 + 4 - 60*m**5 - 12 = 0.
-2, 1, 2
Let l = 18965/75924 - -4/18981. Suppose 1/4*d**3 - 1/4 + l*d**2 - 1/4*d = 0. Calculate d.
-1, 1
Factor -21228*x - 705/2*x**2 - 60552 - 3/2*x**3.
-3*(x + 3)*(x + 116)**2/2
Let c = -492 - -260. Let n = c - -235. Suppose 2/11*r**4 + 0*r + 0 + 4/11*r**n + 2/11*r**2 = 0. What is r?
-1, 0
Suppose -19 = 6*d - 25. Let i be 6/(-18)*(d - 7). Factor 0 - 4/9*c + 22/9*c**i - 2*c**4 - 8/3*c**3.
-2*c*(c + 2)*(3*c - 1)**2/9
Factor 69/2*t + 1/4*t**2 + 0.
t*(t + 138)/4
Factor -154/3*d**2 + 10/3*d - 31/6*d**3 + 0.
-d*(d + 10)*(31*d - 2)/6
Let j(y) be the first derivative of -5*y**4/4 - 2080*y**3/3 - 108160*y**2 + 870. Factor j(i).
-5*i*(i + 208)**2
Let j = 3062 - 27557/9. Let w(q) be the first derivative of -j*q**3 - 1/6*q**2 + 2/3*q + 8. Suppose w(g) = 0. What is g?
-2, 1
Factor -2/7*p**3 + 0 - 414/7*p**2 + 0*p.
-2*p**2*(p + 207)/7
Factor 18*v + 69*v**2 + v**3 - 271 + 1014 + 1206*v + 413.
(v + 1)*(v + 34)**2
Let o(g) = g**2 - 33*g + 2. Let i be o(33). Suppose -6*q - 1 + 21 + 3*q + 2*q**i - 11*q = 0. Calculate q.
2, 5
What is v in 133 - 5*v**3 - 62*v + 26*v - 133 + 115*v**2 - 74*v = 0?
0, 1, 22
Suppose 0 = 5*z + 847*n - 848*n - 7, 0 = 4*n - 12. Let r = -4 - -6. Suppose i**3 - 2*i**4 - r*i**4 - 13*i**3 - 4*i - 12*i**z = 0. What is i?
-1, 0
Let k = 112494 - 112492. Let k*l**3 + 0*l**2 + 2/3*l**4 + 0*l + 0 = 0. What is l?
-3, 0
Let c(z) be the second derivative of -1/6*z**4 - 5*z**2 - 19 + 1/5*z**5 + z - 8/3*z**3. Find f such that c(f) = 0.
-1, 5/2
Let n(f) be the second derivative of f**6/10 + 3*f**5/4 - 3*f**4/4 - 13*f**3/2 + 15*f**2 + 749*f. Suppose n(o) = 0. Calculate o.
-5, -2, 1
Factor -274*j + 6*j**3 - j**4 + 575*j - 9*j**2 - 301*j.
-j**2*(j - 3)**2
Let l(u) be the third derivative of -u**5/240 - 131*u**4/48 + 265*u**3/8 - 5940*u**2. Factor l(o).
-(o - 3)*(o + 265)/4
Let r(d) be the third derivative of d**8/336 + d**7/10 + 73*d**6/120 + 29*d**5/20 + 17*d**4/12 - 285*d**2. Factor r(i).
i*(i + 1)**2*(i + 2)*(i + 17)
Let w(k) = -3*k**3 + 1411*k**2 - 158690*k - 160097. Let l(z) = 2*z**3 - 942*z**2 + 105793*z + 106732. Let y(j) = 7*l(j) + 5*w(j). What is d in y(d) = 0?
-1, 231
Let z(w) = 30*w**2 - 300*w - 720. Let s(n) = -7*n**2 + 75*n + 180. Suppose 0 = 4*u + 2*u - 150. Let h(r) = u*s(r) + 6*z(r). Suppose h(f) = 0. What is f?
-12, -3
Let z(d) be the third derivative of -d**7/42 + d**6/24 + d**5/3 - 5*d**4/6 - 2149*d**2 + 3. Factor z(m).
-5*m*(m - 2)*(m - 1)*(m + 2)
Let p be 34/(-119) + (-744)/(-154). Let d = -67/22 + p. Find i, given that 1/4*i**2 - d*i + 9/4 = 0.
3
Let m(f) be the first derivative of -47/6*f**2 + 1/12*f**4 + 8*f - 34 + 22/9*f**3. Factor m(r).
(r - 1)**2*(r + 24)/3
Let k be 1 - (-608 + (-16)/(-4)). Suppose -51*q - k = -56*q. Determine s so that s**3 + s**3 - q*s + 0*s**2 - 6*s**2 + 125*s = 0.
0, 1, 2
Let v be (-15)/(-135) - 35/(-9). Let a(t) = t - 3. Let u be a(6). Factor 84*k - 9*k**3 - 3*k**v - 78*k + 3*k**2 + u*k**3.
-3*k*(k - 1)*(k + 1)*(k + 2)
Let i(b) be the first derivative of -1203*b**4/10 + 4816*b**3/15 - 1207*b**2/5 + 4*b/5 + 502. Find k, given that i(k) = 0.
2/1203, 1
Let l(x) be the third derivative of -x**6/660 - 269*x**5/330 - 4556*x**4/33 - 17956*x**3/33 + 1387*x**2. Factor l(d).
-2*(d + 1)*(d + 134)**2/11
Let t(a) be the third derivative of -31*a**5/10 - 647*a**4/84 + 4*a**3/21 + 6252*a**2. Factor t(x).
-2*(x + 1)*(651*x - 4)/7
Suppose -5*m - 7 = -3*d, -8*d = -4*d - 2*m - 14. Factor x**4 + x**3 - 13*x**3 - 8 + d*x**2 - x + 3*x**4 + 13*x.
4*(x - 2)*(x - 1)**2*(x + 1)
Suppose -3810*b = -y - 3815*b + 42, 3*y + 2*b = 22. Factor 128/7 + 24/7*u**y + 96/7*u + 2/7*u**3.
2*(u + 4)**3/7
Let r(t) be the third derivative of t**6/30 + 94*t**5/15 - 194*t**4/3 + 784*t**3/3 + 9*t**2 - 55*t. Suppose r(m) = 0. Calculate m.
-98, 2
Factor -92 - 415*o - 9/2*o**2.
-(o + 92)*(9*o + 2)/2
Let o(n) be the second derivative of 5*n**4/36 - 10*n**3/3 + 175*n**2/6 + 2*n + 6. Find f such that o(f) = 0.
5, 7
Let r(z) = z - 1. Let h(l) be the first derivative of l**3/3 - 3*l**2 - 10*l + 143. Let b(y) = h(y) + 2*r(y). Find o such that b(o) = 0.
-2, 6
Factor 3/5*d**4 + 0*d + 24*d**2 + 0 - 42/5*d**3.
3*d**2*(d - 10)*(d - 4)/5
Factor 1/4*a**5 + 191*a**3 + 899/2*a**2 + 21*a**4 + 259/2 + 1635/4*a.
(a + 1)**3*(a + 7)*(a + 74)/4
Suppose 46*r - 27202 = -8480. Let g be (-37)/r - 68/(-22). Suppose 0 + 8/19*k**2 - 16/19*k + 4/19*k**g - 2/19*k**4 = 0. Calculate k.
-2, 0, 2
What is s in -1325/6*s**2 - 653/6*s**3 - 45/2*s**4 - 40 - 547/3*s - 3/2*s**5 = 0?
-8, -3, -2, -5/3, -1/3
Let l be ((-2)/(154/189))/(285/(-48640)). Determine m, given that 192/11*m - 2/11*m**2 - l = 0.
48
Let w(z) = -14*z**3 - 6*z**2 + 64*z + 22. Let m(b) = 2*b**3 + b**2 - 9*b - 3. Let d = 18 + 26. Let c(o) = d*m(o) + 6*w(o). Factor c(r).
4*r*(r - 1)*(r + 3)
Let y be ((2 + -1)*-1)/(61/(-122)). Solve -1 - 13 - 10 - 4*q**y + 28*q = 0.
1, 6
Let h = 1375 - 1369. Let t(l) be the third derivative of 0 - 1/24*l**4 + 0*l + 8*l**2 - 1/15*l**5 + 1/40*l**h + 1/3*l**3. Factor t(w).
(w - 1)**2*(3*w + 2)
Let h(b) be the first derivative of 67/4*b**5 - 5/2*b - 995/16*b**4 + 325/4*b**3 - 305/8*b**2 - 15