4 - 24/7*t + 16/7*t**5 + 32/7*t**3 = 0.
-1, 0, 1/4, 2, 3
Let c(p) be the third derivative of 1/147*p**8 - p**2 + 0*p + 1/105*p**6 - 6/245*p**7 + 0*p**3 + 0*p**4 + 16 + 0*p**5. Find a, given that c(a) = 0.
0, 1/4, 2
Let f be (6/15)/((14/40)/7). Let y be 5 + (-318)/(-42) - f. Let -32/7*i + 12/7*i**4 - 16/7 + y*i**3 + 4/7*i**2 = 0. What is i?
-2, -1, -2/3, 1
Let q(v) be the first derivative of v**4/42 + 5*v**3/21 - 6*v + 43. Let t(w) be the first derivative of q(w). Factor t(b).
2*b*(b + 5)/7
Let 7/2*t**3 - 2011/2*t**2 + 1288*t - 286 = 0. What is t?
2/7, 1, 286
Let q = 82 + -80. Suppose 5*c + q*v - 176 = 176, 0 = -2*c - 2*v + 142. Factor 4*g**3 - 29*g**3 + 2378*g**2 + c*g - 2543*g**2.
-5*g*(g + 7)*(5*g - 2)
Determine j so that 0*j**3 + 9/10*j**2 - 2/5*j - 6/5 - 1/10*j**4 = 0.
-3, -1, 2
Let r be ((-37)/(6105/(-60)))/((-4)/(-22)). Let i(c) be the second derivative of 0*c**r + 5/3*c**3 - 5/12*c**4 + 7*c + 0. Factor i(j).
-5*j*(j - 2)
Let u(p) = -2*p**2 + 24*p - 64. Let j = -208 + 216. Let z be u(j). Factor 0*b + 16/11*b**2 + 2/11*b**5 - 4/11*b**4 + z - 8/11*b**3.
2*b**2*(b - 2)**2*(b + 2)/11
Let c = 149 - 295/2. Let r(f) = f**3 - 20*f**2 + 5. Let z be r(20). Factor c*i + 8/3*i**2 + 1/3 + 1/6*i**z + i**4 + 7/3*i**3.
(i + 1)**4*(i + 2)/6
Determine z, given that 1530*z**4 + 64*z + 1285*z**3 + 676*z**5 + 806*z**4 - 1271*z**4 + 6875*z**3 + 2999*z**4 + 5504*z**2 = 0.
-2, -2/169, 0
Let o(g) be the third derivative of g**7/1260 + g**6/90 + 2*g**5/45 - 13*g**3/6 + 23*g**2. Let m(f) be the first derivative of o(f). Factor m(s).
2*s*(s + 2)*(s + 4)/3
Let q(l) be the third derivative of l**11/831600 - l**10/126000 - l**9/37800 + l**5/6 + l**4/4 + 83*l**2. Let t(d) be the third derivative of q(d). Factor t(b).
2*b**3*(b - 4)*(b + 1)/5
Let l(d) be the second derivative of 0*d**2 - 11*d + 1/12*d**4 - 5/2*d**3 - 3. Factor l(s).
s*(s - 15)
Solve -7*t**2 - 18*t**2 - 352 - 14*t**2 + 40*t**2 + 530*t - 4*t**2 = 0 for t.
2/3, 176
Let t be -4 + ((-3 + 5)*-2 - -4807). Factor -t*b**5 - 224*b - 96*b**3 + 22*b**4 + 60*b**2 + 148*b**2 + 4797*b**5 + 96.
-2*(b - 3)*(b - 2)**4
Let f(o) be the second derivative of 1/12*o**4 - 6 - 12/7*o**2 + 53/42*o**3 + 4*o. Determine i, given that f(i) = 0.
-8, 3/7
Let d(j) be the second derivative of 3/100*j**5 - 2 - 4/5*j**3 + 0*j**2 + 6*j - 7/20*j**4. Factor d(p).
3*p*(p - 8)*(p + 1)/5
Let s(h) = 3*h**2 + 20*h - 2. Let f = 393 - 392. Let z(g) = -g**2 + 1. Let c(m) = f*s(m) + 2*z(m). Factor c(t).
t*(t + 20)
Let g = -1099/58 - 38223/580. Let k = g - -341/4. Factor k - 1/5*i**4 - 3/5*i**3 + 3/5*i - 1/5*i**2.
-(i - 1)*(i + 1)**2*(i + 2)/5
Let x(o) be the first derivative of -o**3 - 1617*o**2 - 871563*o - 2010. Factor x(p).
-3*(p + 539)**2
Let a(w) be the third derivative of -1/24*w**6 - 160*w**4 + 8*w**2 + 4*w**5 - 2 + 10240/3*w**3 + 0*w. Factor a(g).
-5*(g - 16)**3
Let w(q) be the first derivative of -q**6/12 + 9*q**5/10 - 19*q**4/8 + q**3/2 + 5*q**2 - 6*q + 505. Determine z so that w(z) = 0.
-1, 1, 2, 6
Let b(q) be the third derivative of -q**9/3024 + q**7/252 - q**5/24 - 5*q**4/6 + q**3/6 + 25*q**2 + 1. Let u(z) be the second derivative of b(z). Factor u(d).
-5*(d - 1)**2*(d + 1)**2
Let y(i) = 5*i**3 + 42*i**2 + 80*i. Suppose -30*o - 4 = -28*o. Let s(j) = 5*j**3 + 43*j**2 + 80*j. Let l(g) = o*s(g) + 3*y(g). Factor l(q).
5*q*(q + 4)**2
Let o(u) = -7242*u**2 - 14411*u + 69. Let j(m) = 1811*m**2 + 3603*m - 17. Let d(k) = 11*j(k) + 3*o(k). Factor d(c).
-5*(c + 2)*(361*c - 2)
Let q be (-36)/(-220)*((0 - 8) + 544/48). Let j(h) be the first derivative of q*h**2 - 18/11*h + 15 - 2/33*h**3. Solve j(l) = 0.
3
Let v(a) = a**3 + 4*a**2 + 2*a - 2. Let c be v(-2). Let g = 118 + c. Find n, given that -17*n**3 - 32*n**3 + 80*n + 45*n**5 + 160*n**2 + 9*n**3 - g*n**4 = 0.
-2/3, 0, 2
Factor 2440/7 + 1216/7*p - 2/7*p**2.
-2*(p - 610)*(p + 2)/7
Let m(x) be the first derivative of -x**7/4620 + x**6/330 - x**5/220 - 5*x**4/66 + 4*x**3 - x**2/2 + 81. Let j(v) be the third derivative of m(v). Factor j(n).
-2*(n - 5)*(n - 2)*(n + 1)/11
Let h = -342249 - -342252. Factor 1/6*d + 0 - 1/6*d**h + 0*d**2.
-d*(d - 1)*(d + 1)/6
Suppose -2*p + 7*p - 2*l - 5787 = 0, 4623 = 4*p + 5*l. Let t = p - 1153. Find v such that 0*v + 0 - 4/3*v**2 - 8/3*v**3 - 4/3*v**t = 0.
-1, 0
Let k be 3/(-7 - (-76)/10). Let g(d) = -3*d**2 + 9*d - 2. Let n(f) = 7*f**2 - 19*f + 5. Let o(m) = k*g(m) + 2*n(m). Let o(y) = 0. What is y?
0, 7
Suppose -3*j - 1295 = -371. Let m = j + 308. Solve -16/3*v**2 - 4/3*v - v**3 + m + 16/3*v**4 + 7/3*v**5 = 0.
-2, -1, -2/7, 0, 1
Let i be 12/(-1) - 3/(480/(-1936)). Let n(b) be the first derivative of 32/5*b + 12/5*b**2 - 3 + 0*b**3 - i*b**4. Find m such that n(m) = 0.
-2, 4
Factor -1756*n + 2114*n**3 - 351 + 387*n**3 + 655*n**3 - 3*n**4 - 1058*n**2 + 12*n**4.
(n - 1)*(n + 351)*(3*n + 1)**2
Let q(s) = -s**3 - 4*s**2 - 2*s + 3. Let d be q(-3). Suppose -2*m - 4*m**2 - 2*m**2 - 1 + d*m**2 + 5*m**2 = 0. Calculate m.
-1
Let f be -1*(3 + -6 - (-3)/(-3)). Determine d so that 373 - 188 - 185 + 40*d**3 - 2*d**f = 0.
0, 20
Let d be ((-10)/6)/(5/15). Let w be (d - 2)*-1 - 4. Factor 7994*o**2 - 8010*o**2 + 0*o**3 + 16 + 2*o**w - 2*o.
2*(o - 8)*(o - 1)*(o + 1)
Let v be (53032/2841)/((-4)/(-126)). Factor -2/3*s**3 - 167/3*s**2 - 1148*s + v.
-(s + 42)**2*(2*s - 1)/3
Let y(b) = -b**2 - 144*b + 3285. Let f be y(20). Find k, given that f*k + 1/2*k**3 + 7/2*k**2 + 0 = 0.
-5, -2, 0
Suppose 2*x + 2 = 0, -4 + 8 = 5*o + x. Suppose 6*i - 17 - o = 0. Factor 0*s**2 + 0*s + 0 + 1/3*s**4 - 1/3*s**i.
s**3*(s - 1)/3
Let m(f) = -2*f**2 + 26*f + 6. Let z be 1*(10 - (7 + -2)). Let j(n) = n**2 - 10*n - 3. Let q(g) = z*j(g) + 2*m(g). Factor q(a).
(a - 1)*(a + 3)
Let n = 42 + -26. Let z be 18/n*(-112)/(-84). What is d in 0 + z*d - 1/6*d**5 - 4/3*d**3 - d**4 + d**2 = 0?
-3, -1, 0, 1
Let r(b) be the third derivative of b**8/112 + 24*b**7/35 + 311*b**6/20 + 276*b**5/5 + 529*b**4/8 + 592*b**2 + 2. Factor r(i).
3*i*(i + 1)**2*(i + 23)**2
Let m(y) be the third derivative of -y**8/23520 + 3*y**6/70 - 13*y**5/5 - 3*y**2 + 13*y. Let d(u) be the third derivative of m(u). Factor d(i).
-6*(i - 6)*(i + 6)/7
Suppose -181 = u - j + 425, 4*j + 2392 = -4*u. Let g = u - -602. Factor 15/4*r**3 + 3/4*r**4 + 0*r + g + 9/4*r**2 - 3/4*r**5.
-3*r**2*(r - 3)*(r + 1)**2/4
Let r(p) = -5*p - 34. Let m be r(-24). Let i be 48/22 + -2 - m/(-11). Factor -2*d + 6*d**2 - 8*d - 8*d**2 - i.
-2*(d + 1)*(d + 4)
Suppose -10 = -4*s - 38*m + 39*m, s = -2*m + 16. Let v(g) be the third derivative of 11*g**2 - 9/40*g**5 - 7/16*g**s + 0*g + 0 + 1/2*g**3. Solve v(t) = 0 for t.
-1, 2/9
Suppose -8 = -18*v + 20*v. Let g be (v/5)/(12/(-30)). Factor -12*y**g - y - 6*y**3 - 12*y - y**4 - y + 6*y.
-y*(y + 2)**3
Let g(t) be the second derivative of t**4/12 - 19*t**3/3 - 123*t**2/2 + 2*t + 171. Let w be g(41). Let -2/5*s**4 + 0 - 8/5*s**3 - 6/5*s**2 + w*s = 0. What is s?
-3, -1, 0
Let u(d) be the first derivative of 0*d**2 + 0*d + 44 + 1/5*d**5 + 1/48*d**6 + 1/4*d**3 + 13/32*d**4. What is z in u(z) = 0?
-6, -1, 0
Let u = -2 + 3. Let d(n) = -n**5 - 2*n**4 + 2*n**3 + 4*n**2 - n - 4. Let f(m) = 26 - 78 + 21 + 30. Let o(w) = u*d(w) - 2*f(w). Determine h, given that o(h) = 0.
-2, -1, 1
Let t = 103684 + -207367/2. Find b, given that 0 + b**2 - 1/2*b**3 - t*b = 0.
0, 1
Let z(h) be the third derivative of 0 + 0*h**3 + 9*h - 6*h**2 + 2/21*h**7 - 1/3*h**5 - 1/24*h**6 + 5/24*h**4. Solve z(y) = 0.
-1, 0, 1/4, 1
Let w(h) = h + 2. Let a be w(-2). Let y be (-1 + 13)*129/(-258) - -8. Factor 1/3*z + 1/3*z**y + a.
z*(z + 1)/3
Factor -92*j - 12*j - 12*j**2 + 4*j**4 + 100*j - 4*j.
4*j*(j - 2)*(j + 1)**2
Let z = 637878 + -4465144/7. Let y = 13 + -9. Determine a so that 2/7*a - 10/7*a**y - 4/7*a**5 + z*a**3 + 2*a**2 - 4/7 = 0.
-2, -1, 1/2, 1
Suppose 11 + 11 = -22*o. Let c be (-6 + o + 8)/((-1)/(-2)). Factor 9/5 - p**c + 3/5*p + 1/5*p**3.
(p - 3)**2*(p + 1)/5
Let w(c) = c**3 + 5*c**2 - 5*c + 1. Let p = -1015 + 1016. Let h be w(p). Find r, given that 4/5*r**h - 3/5 - 1/5*r = 0.
-3/4, 1
Let l be 0*((-6)/8 + (-6)/(-24)). Let d(u) be the first derivative of -1/6*u**3 + 5 + l*u - 1/16*u**4 - 1/8*u**2. Let d(n) = 0. Calculate n.
-1, 0
Suppose 10 = -2*i, -7*i - 19 = -3*a - 2*i. Let n be (27/(-6))/(a/4). What is j in -4 - 5*j - 2*j + 2*j**2 + n*j = 0?
-2, 1
Let d(x) = 3*x - 39699 + 22*x