 - j**4/33 - j**2 + 101*j. Solve y(g) = 0 for g.
-1/5, 0, 1, 4
Let y(i) be the third derivative of i**7/735 - i**6/105 + i**5/105 + i**4/21 - i**3/7 + 5*i**2 + 3. Determine o so that y(o) = 0.
-1, 1, 3
Let d(g) be the third derivative of 5*g**8/336 + 4*g**7/21 + 2*g**6/3 + g**5/6 - 85*g**4/24 - 25*g**3/3 - 34*g**2 + 3. Find b such that d(b) = 0.
-5, -2, -1, 1
Let o(f) be the first derivative of f**6/54 + 52*f**5/45 + 817*f**4/36 + 3734*f**3/27 + 3358*f**2/9 + 4232*f/9 + 28. Let o(q) = 0. What is q?
-23, -2
Let i be 0/((-2)/7 - 18/(-14)). Let a(m) be the second derivative of -1/24*m**4 + 4*m + i + 1/4*m**2 - 1/40*m**5 + 1/12*m**3. Factor a(n).
-(n - 1)*(n + 1)**2/2
Let u(k) = k + 1. Let f(l) = -5*l**2 + 44*l - 76. Let q(p) = -f(p) + 4*u(p). Determine s, given that q(s) = 0.
4
Factor 0 - 3/2*h**3 - 11/2*h**2 + 3/2*h**4 - 3*h + 1/2*h**5.
h*(h - 2)*(h + 1)**2*(h + 3)/2
Let j(u) = -101*u + 204. Let m be j(2). Let y(r) be the first derivative of 4 + 16/3*r**3 + 18*r**m + 8*r. Let y(g) = 0. Calculate g.
-2, -1/4
Let x(s) = -s**3 + 3*s**2 + 2*s - 3. Let d be x(3). Suppose -4*i = d*a - 5*i - 19, -3*i - 12 = 0. Factor z**4 + 2*z**a + 2*z - z**3 - 5*z**2 - 3*z**5 + 4*z**3.
-z*(z - 1)**3*(z + 2)
Suppose 0*g + 0 - 3/4*g**2 = 0. Calculate g.
0
Let l(u) be the first derivative of 3*u**5/35 - 51*u**4/28 + 96*u**3/7 - 318*u**2/7 + 480*u/7 - 495. Factor l(d).
3*(d - 8)*(d - 5)*(d - 2)**2/7
Let v(m) be the second derivative of -m**7/399 + 4*m**5/95 + m**4/19 - 7*m**3/57 - 6*m**2/19 + 4*m + 9. Determine l so that v(l) = 0.
-2, -1, 1, 3
Solve 1/3*c**4 - 4*c - 20/3 + 4*c**3 + 19/3*c**2 = 0 for c.
-10, -2, -1, 1
Let f(u) be the third derivative of u**6/30 - 11*u**5/15 + 19*u**4/6 - 6*u**3 + 22*u**2. Suppose f(k) = 0. What is k?
1, 9
Let w(j) be the second derivative of -j**4/24 + 59*j**3/6 - 3481*j**2/4 + 67*j + 2. Factor w(d).
-(d - 59)**2/2
Suppose -17 = -7*i + 4. Suppose 4*l - 14 = 2*h, 3*l - l = i*h + 13. Factor 0 - 1/2*r**l + 1/2*r.
-r*(r - 1)/2
Let r(q) be the third derivative of q**6/40 + 121*q**5/20 + 3599*q**4/8 - 3721*q**3/2 - 99*q**2. Suppose r(w) = 0. What is w?
-61, 1
Factor -2/9*o**2 - 10/9 - 4/3*o.
-2*(o + 1)*(o + 5)/9
Let h = 12941/13 + -996. Let m = h - -47/39. Factor i**3 - m*i**2 + 0 - 1/3*i**4 + 0*i.
-i**2*(i - 2)*(i - 1)/3
Let i = -18 + 23. Suppose i*b + 4*z = 25, 0*z + 5 = b + 2*z. Find u such that -u + 13*u + 16*u**4 - 3*u**b - 16*u**2 - 8*u**3 - u**5 = 0.
-1, 0, 1, 3
Let i be 3 + -4 + 0 + 3. Solve 4*o + 48*o**5 - 36*o**3 - 3*o**4 - 36*o**5 + 33*o**i - 10*o = 0 for o.
-2, 0, 1/4, 1
Let p = -8 + 15. Suppose -p*u = -7 - 7. Factor -u*n + 2*n - n**2 - 1 - 2*n.
-(n + 1)**2
Factor -3*h - 36/5 + 1/5*h**3 + 2/5*h**2.
(h - 4)*(h + 3)**2/5
Suppose 3*i - 11*i = -24. What is t in -29*t**2 - 5*t**2 + 1172*t**3 - 4*t - 1202*t**i = 0?
-1, -2/15, 0
Let v(h) be the second derivative of -3*h**8/4480 - 13*h**7/1680 - h**6/36 - h**5/20 + 11*h**4/6 - 4*h. Let x(b) be the third derivative of v(b). Factor x(d).
-(d + 3)*(3*d + 2)**2/2
Factor 156*y + 3749*y**3 + 48*y - 16*y**2 - 360 - 3753*y**3.
-4*(y - 3)**2*(y + 10)
Let o(m) be the third derivative of 0*m**5 - 11/48*m**4 + 1/672*m**8 + 1/2*m**3 - 5*m**2 + 1/24*m**6 + 0 - 1/70*m**7 + 0*m. Let o(h) = 0. Calculate h.
-1, 1, 2, 3
Let g(s) be the second derivative of 17*s - 2/21*s**3 - 1/147*s**7 + 0*s**2 - 1/105*s**6 + 3/70*s**5 + 1/42*s**4 + 0. Determine v so that g(v) = 0.
-2, -1, 0, 1
Let z(q) be the first derivative of 15/4*q**2 + 3 + 7/6*q**3 + 1/8*q**4 + 9/2*q. Factor z(a).
(a + 1)*(a + 3)**2/2
Let k = 10457/6120 + -29/17. Let y(q) be the third derivative of 0*q**3 + 0 + 0*q + k*q**5 + 5*q**2 + 0*q**4. Factor y(x).
x**2/6
Let o(n) be the second derivative of n**5/80 - 103*n**4/48 + 203*n**3/24 - 101*n**2/8 + n + 125. Determine b so that o(b) = 0.
1, 101
Let p(t) be the third derivative of -t**5/480 + 5*t**4/192 + 7*t**3/24 - 91*t**2. Factor p(q).
-(q - 7)*(q + 2)/8
Let u be (-13508)/90*(-6)/4. Let s = -225 + u. Determine x, given that 0*x**2 + s*x**4 + 0*x + 0 - 2/15*x**3 = 0.
0, 1
Let f(s) be the third derivative of -s**7/945 + 13*s**6/270 - 4*s**5/5 + 9*s**4/2 + 27*s**3 - 12*s**2 + 3. Factor f(r).
-2*(r - 9)**3*(r + 1)/9
Let y(x) be the second derivative of 5*x**4/12 + 95*x**3/3 + 1805*x**2/2 - 12*x. Factor y(j).
5*(j + 19)**2
Let f(b) = -2*b**4 + 21*b**3 - 73*b**2 - 24*b + 69. Let s(i) = 10*i**4 - 106*i**3 + 364*i**2 + 120*i - 346. Let m(u) = -28*f(u) - 6*s(u). Solve m(g) = 0 for g.
-1, 1, 6
Factor -2*q**2 - 8*q**5 + 27*q**5 - 16*q**5 - 10*q**2 + 9*q**4.
3*q**2*(q - 1)*(q + 2)**2
Let h(w) be the third derivative of -w**8/672 + 2*w**7/105 - 11*w**6/120 + w**5/5 - 3*w**4/16 - 108*w**2. Suppose h(p) = 0. What is p?
0, 1, 3
Suppose -5 = 3*r - 11. Find g, given that 26 - 15*g**3 + 15*g - 41*g**2 + 2*g**4 + 16*g**r + 3*g**4 - 6 = 0.
-1, 1, 4
Let -30*i**2 - 189*i**4 - 10*i**5 + 8 + 204*i**4 + 10*i**2 - 3 + 10*i**3 = 0. Calculate i.
-1, -1/2, 1
Determine y so that 152*y**2 - 2*y**5 - 116*y**2 + 38*y**4 + 70*y**3 - 6*y**4 = 0.
-1, 0, 18
Let b(v) be the second derivative of 3*v**4/4 - 29*v**3/6 + 3*v**2 - 26*v. Factor b(k).
(k - 3)*(9*k - 2)
Suppose -13*c - 251 - 22 = 0. Let j be 3/c - (-102)/28. Suppose -j*i**2 + 7/2*i + i**3 - 1 = 0. Calculate i.
1/2, 1, 2
Let s(f) be the third derivative of 0*f + 0 + 1/6*f**3 + 10*f**2 - 1/48*f**4 - 1/120*f**5. Factor s(g).
-(g - 1)*(g + 2)/2
Let g(z) be the first derivative of z**4/5 - 4*z**3/5 - 8*z**2/5 - 275. Find u, given that g(u) = 0.
-1, 0, 4
Suppose -5*o**5 - 85*o**2 - 3*o**4 + 80*o**2 + 8*o**4 + 5*o**3 = 0. What is o?
-1, 0, 1
Let a(p) be the third derivative of -16*p**2 + 1/22*p**3 + 0*p + 0 - 1/330*p**5 + 5/264*p**4. Factor a(v).
-(v - 3)*(2*v + 1)/11
Let f(k) be the second derivative of k**7/420 + k**6/45 - k**5/60 - k**4/3 - 5*k**3/6 - 6*k. Let m(r) be the second derivative of f(r). Factor m(n).
2*(n - 1)*(n + 1)*(n + 4)
Let c(q) be the second derivative of 3*q**5/40 + 3*q**4/4 + 9*q**3/4 - 101*q. Determine r, given that c(r) = 0.
-3, 0
Let f(r) = 11*r**3 - 26*r**2 + 72*r - 48. Let i(y) = -56*y**2 + 30*y**2 + 12*y**2 - 24 - 8*y + 44*y + 5*y**3. Let h(p) = -2*f(p) + 5*i(p). Factor h(u).
3*(u - 2)**3
Let a(p) = 25*p**3 - 85*p**2 + 91*p - 31. Let x = -72 - -66. Let r(s) = -5*s**3 + 17*s**2 - 18*s + 6. Let k(v) = x*a(v) - 33*r(v). Factor k(h).
3*(h - 2)*(h - 1)*(5*h - 2)
Let o(i) be the first derivative of 32*i**6/3 - 512*i**5/5 + 271*i**4 - 608*i**3/3 - 34*i**2 + 40*i - 380. Determine h, given that o(h) = 0.
-1/4, 1/4, 1, 2, 5
Let s(z) be the third derivative of 0*z - 1/195*z**7 + 0 + 0*z**4 + 0*z**3 - 2/195*z**6 - 4*z**2 - 1/2184*z**8 + 8/195*z**5. What is a in s(a) = 0?
-4, 0, 1
Factor 10512*k - 297/2*k**4 + 3/2*k**5 - 21603/2*k**2 + 7785/2*k**3 - 3456.
3*(k - 48)**2*(k - 1)**3/2
Let j = -61842893/7413241 - 1/39643. Let s = -114/17 - j. Factor -10/11*n**3 + 2/11*n**4 + 4/11 + s*n**2 - 14/11*n.
2*(n - 2)*(n - 1)**3/11
Let t = 61 + -58. Factor -2 - t*g**3 - 9*g**2 - 10 + 3*g + 18 + 3*g**4.
3*(g - 2)*(g - 1)*(g + 1)**2
Let k(i) = 7*i - 68. Let p be k(9). Let b be 4 + 27/(-7) - p/14. Factor -b + 7/4*c**3 - 4*c**2 + 11/4*c.
(c - 1)**2*(7*c - 2)/4
Factor 48/5 - 1/5*s**3 + 11/5*s**2 - 8*s.
-(s - 4)**2*(s - 3)/5
Let o(v) be the first derivative of 2*v**5/15 + v**4/3 - 8*v**3/9 - 8*v**2/3 - 57. Factor o(r).
2*r*(r - 2)*(r + 2)**2/3
Let c(s) = s**3 - s - 2. Let i(b) = -5*b**3 + 9*b**2 - 7*b + 9. Let j(w) = 6*c(w) + 2*i(w). Solve j(a) = 0 for a.
1/2, 1, 3
Let p be 1141/147 - (7 - 0). Let a(x) be the second derivative of p*x**3 + 1/70*x**5 - 4/21*x**4 + 0*x**2 - 5*x + 0. Factor a(f).
2*f*(f - 4)**2/7
Let f be ((-5355)/120)/(-21) - 2*1. Let o be (-120)/(-28) + (-4)/14. Let 1/4*c**2 - 1/8*c + 0 - 1/4*c**o + f*c**5 + 0*c**3 = 0. What is c?
-1, 0, 1
Suppose 7*o = -0*o + 28. Determine v so that -2*v**3 + 20*v**2 + 223*v**4 + 8*v - 219*v**o + 18*v**3 = 0.
-2, -1, 0
Let a be (-688)/(-1400) + 10/125. Determine n so that 0*n**2 + 12/7*n**4 + 0*n + a*n**5 + 0*n**3 + 0 = 0.
-3, 0
Suppose -184 = -259*s + 334. What is c in 0 + 2/9*c**4 - 2/9*c**5 - 4/9*c + 2/3*c**3 - 2/9*c**s = 0?
-1, 0, 1, 2
Let f(x) be the third derivative of -x**9/15120 - x**8/5040 + x**7/1260 + x**6/180 + 11*x**5/60 - 6*x**2. Let l(m) be the third derivative of f(m). Factor l(o).
-4*(o - 1)*(o + 1)**2
Let i(p) be the se