econd derivative of -r**5/110 - 5*r**4/66 + 272*r**3/33 - 1344*r**2/11 + 1680*r. Factor j(x).
-2*(x - 8)**2*(x + 21)/11
Suppose 3044 = 27*u + 57*u + 3044. Find d, given that -2/5*d**3 + 4/5*d**4 + u*d**2 + 0*d - 2/5*d**5 + 0 = 0.
0, 1
Suppose 5*k + 3*q - 78 = 0, -5*q = 26*k - 24*k - 16. Let -15*y**3 + 43*y**3 - k*y + 16*y**2 - 17*y**3 - 9*y**3 = 0. What is y?
-9, 0, 1
Suppose 16599 = -121*w + 16962. Factor 6/5*i**w + 0*i**2 - 12/5 - 18/5*i.
6*(i - 2)*(i + 1)**2/5
What is i in -8/9 + 2/3*i**4 - 5/3*i + 2/9*i**2 + 16/9*i**3 - 1/9*i**5 = 0?
-1, 1, 8
Suppose 5 = -15*t + 80. Let u be (-40)/(-8)*1/(t/2). Factor -55*b**2 + 10*b**u + 35*b + 906*b**3 - 5*b**4 - 10 - 881*b**3.
-5*(b - 2)*(b - 1)**3
Let u(s) be the second derivative of s**4/48 + 59*s**3/24 - 345*s**2/4 + 1693*s. Find v, given that u(v) = 0.
-69, 10
Let x(k) be the third derivative of 0*k**3 + 85 + 0*k + 1/30*k**6 + k**2 + 1/3*k**4 - 1/5*k**5. Factor x(l).
4*l*(l - 2)*(l - 1)
Let x = -270 - -275. Factor 39*q**5 + x*q**4 + 10*q**5 - 44*q**5.
5*q**4*(q + 1)
Let z be (0 - 0) + -9 + 786 + -3. Let w = 776 - z. Determine o, given that 14/5*o**w + 38/5*o - 12/5 = 0.
-3, 2/7
Factor -29*y**2 - 2*y**3 - y**3 + 236*y + 16*y - 5*y**2 - 86*y**2.
-3*y*(y - 2)*(y + 42)
Let h = -49 - -58. Suppose -2 = 7*s - h. Let d(o) = o**2 - o. Let i(k) = -4*k**2 - 7*k - 25. Let z(b) = s*i(b) + 3*d(b). Suppose z(j) = 0. Calculate j.
-5
Let r(c) = 1092*c**2 + 4415*c - 48. Let t(m) = 6550*m**2 + 26495*m - 295. Let l(o) = -25*r(o) + 4*t(o). Determine y, given that l(y) = 0.
-4, 1/220
Solve -139*k**2 + 0*k**3 - 3*k**3 + 1305*k + 578 - 56*k**2 - 2*k**3 - 2603 = 0 for k.
-45, 3
Suppose -7*y + 4*w = -3*y - 228, 2*w = 5*y - 291. Let -790 - 19*j**2 + y*j - 1132 + 34*j + 17*j**2 + 31*j = 0. Calculate j.
31
Let l = 36/35 - 3/5. Let g be 2860/182 + -6 + -1 + -3 + (-24)/6. Factor l*n**3 + g + 27/7*n + 18/7*n**2.
3*(n + 1)**2*(n + 4)/7
Let s = 1073 - 575. Find l, given that -120*l + 258 + s + 1044 + 5*l**2 - 3*l**2 = 0.
30
Let d be (150/8 + (-200 - -182))*(-8)/(-21). Factor d*j**2 - 10/7*j + 12/7.
2*(j - 3)*(j - 2)/7
Let x(u) = -u**2 + 11*u - 16. Let i be x(9). Factor -1273 + 1265 + s**2 + 6*s + s**i.
2*(s - 1)*(s + 4)
Let a(l) = -281*l**2 - 4210*l + 11. Let j(d) = 26*d**2 - 1. Let t(z) = a(z) + 11*j(z). Let t(q) = 0. What is q?
0, 842
Solve -12828*y**2 + 10*y**4 - 221 + 58*y**3 + 12906*y**2 + 213 + 22*y = 0 for y.
-4, -1, 1/5
Determine j, given that -168/5 + 1/5*j**2 + 13/5*j = 0.
-21, 8
Let 0 - 2/5*f**5 + 184/5*f**2 + 26/5*f**4 - 112/5*f - 108/5*f**3 = 0. Calculate f.
0, 2, 7
Suppose -2*z = -5*m + 11, 5*z = -m - 3*m - 11. Let r be (1 + 2)/(m + (-1)/(-2)). Solve -10*l + 3*l**3 + 2 + 3*l**r - 5*l**2 + 8*l - l**3 = 0.
-1, 1
Let d(u) be the first derivative of u**3/15 - 5*u**2/2 - 224*u/5 + 1101. Solve d(p) = 0.
-7, 32
Let q(i) be the second derivative of i**6/120 + 3*i**5/80 - i**4/48 - i**3/8 - 28*i - 2. Suppose q(f) = 0. What is f?
-3, -1, 0, 1
Let a(q) = q**2 + 2*q - 31. Let z be a(5). Suppose z*o = -6*o + 16*o. Factor -6/11*v**4 + 0*v**2 + 0*v + 2/11*v**5 + o*v**3 + 0.
2*v**4*(v - 3)/11
Let g(v) be the second derivative of -1/4*v**5 + 20*v**2 + 0 - 5/2*v**4 + 10/3*v**3 + 23*v + 1/6*v**6. Factor g(c).
5*(c - 2)**2*(c + 1)*(c + 2)
Suppose -89 = 2*b - 81. Let k(y) = -2*y**2 - 10*y - 8. Let o be k(b). Let -2*w**2 + o*w + 2/3*w**3 + 8/3 = 0. Calculate w.
-1, 2
Let t(r) be the second derivative of -r**4/24 + 71*r**3/6 - 141*r**2/4 + 520*r + 1. Let t(k) = 0. What is k?
1, 141
Solve -3*o**4 + 62*o - 137*o**2 + 55*o**3 + 440556 - 440596 - o**5 + 64*o = 0 for o.
-10, 1, 4
Let t(u) be the first derivative of -u**4/78 + u**3/3 + 14*u**2/13 - 2*u + 17. Let z(q) be the first derivative of t(q). Solve z(l) = 0.
-1, 14
Let y be -1 + 18/(-20) + 2/(-20). Let n be ((5 + -3)*-11)/(-7) + y. Solve 2/7*o**2 - n*o + 6/7 = 0 for o.
1, 3
Let v be ((-10224)/32)/((-2)/4 + 1). Let o = v - -641. Let 0 - 2/3*l**3 + 0*l - 4/3*l**o = 0. What is l?
-2, 0
Let i(c) = 21 - 19 + 18*c**2 + 3 - 107*c. Let k(j) = 116*j**2 - 696*j + 32. Let l(d) = -32*i(d) + 5*k(d). Determine r so that l(r) = 0.
0, 14
Let l(h) be the first derivative of -h**6/240 + h**5/40 + h**4/12 - h**3 + 62*h**2 - 24. Let p(x) be the second derivative of l(x). Factor p(j).
-(j - 3)*(j - 2)*(j + 2)/2
Let t(r) = 2*r + 10. Let k be t(5). Suppose -4*c = 4*v - 0*c - k, -3*c = v - 5. Solve -3 - 22 - 9 + v*y + 4 + 5*y**2 = 0.
-3, 2
Factor 3*y**4 - 3267*y**3 + 2157312*y**2 - 609800192*y + 723*y**3 - 2*y**4.
y*(y - 848)**3
Let t = 2831/8520 + 3/2840. Let m(z) be the first derivative of 0*z - 1/4*z**4 + 1/15*z**5 - 5/9*z**3 - t*z**2 - 24 + 1/18*z**6. Factor m(c).
c*(c - 2)*(c + 1)**3/3
Let h(r) be the first derivative of 2*r**5/5 + r**4/2 - 4*r**3/3 - 1379. Suppose h(w) = 0. What is w?
-2, 0, 1
Suppose -195*i + 1961 = 1376. Let p be 0 - -1 - (-46)/18. Factor -4/3*t**i - 2/9*t**2 - p - 2/9*t**4 + 16/3*t.
-2*(t - 1)**2*(t + 4)**2/9
Let v(j) be the third derivative of j**5/15 + 493*j**4/6 + 350*j**2 - 2. Factor v(b).
4*b*(b + 493)
Let r(b) be the third derivative of 1/180*b**6 + 0 + 0*b + 59*b**2 + 1/36*b**5 + 1/18*b**4 + 1/18*b**3. Solve r(n) = 0.
-1, -1/2
Let s = 762 - 745. Let d(j) be the second derivative of 0 - 1/4*j**5 + 0*j**6 + 0*j**3 + 5/42*j**7 + 0*j**2 + 0*j**4 - s*j. Factor d(x).
5*x**3*(x - 1)*(x + 1)
Let t(r) be the second derivative of 7*r**3/2 - 205*r**2/2 - 372*r. Let h be t(10). Suppose 0*f + 2/17*f**3 - 2/17*f**h + 0 + 0*f**2 + 0*f**4 = 0. Calculate f.
-1, 0, 1
Let q(s) be the first derivative of 2*s**5/5 - 5*s**4/2 + 4*s**3/3 + 8*s**2 - 900. Factor q(i).
2*i*(i - 4)*(i - 2)*(i + 1)
Factor 176/3 - 47/3*y**2 - 128/3*y - 1/3*y**3.
-(y - 1)*(y + 4)*(y + 44)/3
Let s(i) = i**2 + 9*i + 2. Let y(j) = -j**2 + 197*j - 6. Let f(u) = -3*s(u) - y(u). Factor f(m).
-2*m*(m + 112)
Let h(m) be the first derivative of -m**7/210 - m**6/150 + m**5/50 + 93*m + 111. Let s(t) be the first derivative of h(t). Factor s(i).
-i**3*(i - 1)*(i + 2)/5
What is w in -864/17*w + 1232/17*w**3 + 2/17*w**5 + 288*w**2 - 1728 + 100/17*w**4 = 0?
-34, -6, 2
Let f(o) be the first derivative of 49*o**6/57 + 462*o**5/19 + 814*o**4/19 - 3008*o**3/57 - 1152*o**2/19 - 352*o/19 - 676. Solve f(j) = 0.
-22, -2, -2/7, 1
Suppose -2*t = j - 28, -3*t + 3*j = 2*t - 48. Suppose 0*m + t = 2*n - 3*m, 3*n = m + 11. Factor -n*o**5 - 3*o + 14*o**2 - 14*o**2 + 6*o**3.
-3*o*(o - 1)**2*(o + 1)**2
Let j(t) = 5*t**3 - 280*t**2 - 1150*t - 1152. Let v(g) = 42*g**3 - 2238*g**2 - 9201*g - 9216. Let x(c) = 51*j(c) - 6*v(c). Factor x(i).
3*(i - 288)*(i + 2)**2
Let a(i) be the second derivative of -171/4*i**3 + 81*i**2 + 27/2*i**4 + 51*i - 1/84*i**7 - 2 - 51/20*i**5 + 4/15*i**6. Factor a(r).
-(r - 4)*(r - 3)**4/2
Suppose s - 15 - 18 = 0. Factor -5 + 29 + 18*l - s*l**3 + 30*l**3 - 9*l**2.
-3*(l - 2)*(l + 1)*(l + 4)
Let h(y) = 20 - 69*y**2 + 71*y**2 - 14 + 2*y. Let u(p) = 4*p**2 + 5*p + 12. Suppose 4*g - 43 - 1 = 0. Let f(c) = g*h(c) - 6*u(c). Factor f(o).
-2*(o + 1)*(o + 3)
Let d(h) = -458*h - 2744. Let q be d(-6). Let k(g) be the second derivative of 0*g**2 + 3*g + 4/3*g**3 + 1/3*g**q + 0. Determine v so that k(v) = 0.
-2, 0
Let y = -352391 + 2819131/8. Factor 81/8 - y*h**2 + 39/4*h.
-3*(h - 27)*(h + 1)/8
Suppose -20 = -34*m + 30*m. Suppose -5 - 5 = -m*x. Let -3/5*i - 3/5*i**x + 6/5 = 0. Calculate i.
-2, 1
Let n(s) be the third derivative of -s**5/24 - 2585*s**4/24 - 747*s**2 - 2*s + 1. Factor n(u).
-5*u*(u + 1034)/2
Let w be 528390/2925 - 3/(78/(-4)). Let n = w + -179. Factor -2/5 - n*v**2 + v**3 + 7/5*v - 1/5*v**4.
-(v - 2)*(v - 1)**3/5
Let g(q) be the first derivative of q**7/168 - q**6/96 + 109*q**2 - 111. Let x(c) be the second derivative of g(c). Suppose x(a) = 0. What is a?
0, 1
Suppose 2*o = 5*t + 1, -4*o - 12*t = -11*t - 13. Let w(y) be the first derivative of -90*y**2 + 21 - 15/2*y**4 - 37*y**o - 3/5*y**5 - 108*y. Factor w(d).
-3*(d + 2)**2*(d + 3)**2
Factor 50 + 22 - 1391*b**2 + 2*b + 4*b**3 - 102*b + 1415*b**2.
4*(b - 2)*(b - 1)*(b + 9)
Let x = 39 + -45. Let a(z) = -z**3 - 9*z**2 - 14*z + 24. Let v be a(x). Factor -8/15*i - 16/5*i**2 - 14/5*i**3 + 98/15*i**4 + v.
2*i*(i - 1)*(7*i + 2)**2/15
Let z(t) be the first derivative of -2*t**7/105 + t**6/12 + t**5/30 + 20*t**3 - 7. Let n(l) be the third derivative of z(l). Factor n(q).
-2*q*(q - 2)*(8*q + 