*5/210 - 4*h**4/21 + 20*h**3/21 + 185*h**2/2 + 149. Let v(j) be the second derivative of o(j). Factor v(a).
2*(a - 2)**2*(a + 5)/7
Let t(q) be the second derivative of q**5/10 - 4*q**4/3 + 19*q**3/3 - 12*q**2 - 1142*q. Determine k so that t(k) = 0.
1, 3, 4
Let 56 + 26*c**4 - 84*c**2 + 188*c**3 + 2*c**4 - 2668023*c + 2667835*c = 0. What is c?
-7, -1, 2/7, 1
Let s = -275 + 412. Let b = -88 + s. Determine d so that -2*d**2 - 3*d**3 + 48*d**5 + 2*d**4 + 4*d**3 - b*d**5 = 0.
-1, 0, 1, 2
Suppose 53*j = 2048 + 3888. Let l be 160/154 - ((-1472)/j - -14). Factor -l*u**2 + 24/11 + 2/11*u.
-2*(u - 4)*(u + 3)/11
Let i(j) = -j**2 + 1. Let c(h) be the second derivative of -2*h**4/3 + 4*h**2 - h + 4. Let l(a) = -c(a) + 6*i(a). Determine p, given that l(p) = 0.
-1, 1
Suppose -4*p + 3 = 8*o - 29, 2*p - 3*o + 12 = 0. Let g = -25/3 + 53/6. Factor 1/4*w**2 + p + 0*w + 1/4*w**4 - g*w**3.
w**2*(w - 1)**2/4
Find t such that -1528/3*t**2 - 5292 - 2688*t - 128/3*t**3 - 4/3*t**4 = 0.
-9, -7
Find m, given that 104*m**3 + 284*m**2 + 184*m + 2262873 + 4*m**4 - 2262873 = 0.
-23, -2, -1, 0
Let b(v) = v. Let a = -81 - -81. Suppose -s + 2 - 3 = a. Let n(w) = 5*w**2 - 25*w + 45. Let i(g) = s*n(g) + 5*b(g). Suppose i(z) = 0. Calculate z.
3
Suppose 0 = 42*j + 20033 - 20159. Factor 44/5*x + 4/5*x**j + 24/5*x**2 + 24/5.
4*(x + 1)*(x + 2)*(x + 3)/5
Suppose -4*q - 19 = -s - 58, 4*q - 51 = 5*s. Suppose -13*f - c + 13 = -q*f, 5*f = -3*c + 25. Factor 4*y**f - 2/3 - y - 7/3*y**3.
-(y - 1)**2*(7*y + 2)/3
Let o be (-42)/760 + (-28)/(-6650)*25. Let g(z) be the third derivative of 1/9*z**3 + 0 + 11/72*z**4 - 21*z**2 + 0*z + o*z**5. Let g(v) = 0. What is v?
-1, -2/9
Let r = 4 - 9. Let a(k) = -k - 3. Let h be a(r). Find j such that -6*j**4 + j + 3*j - 12*j**h + 2*j**4 + 12*j**3 = 0.
0, 1
Factor -208576896/5*v**2 + 409923126272/5*v - 302113344062464/5 - 4/5*v**4 + 47168/5*v**3.
-4*(v - 2948)**4/5
Let k be (-107)/(-2568) + 2/(96/190). Determine d so that 1/8 - 1/4*d**2 + 1/8*d**5 - 1/4*d**3 + 1/8*d + 1/8*d**k = 0.
-1, 1
Let r(g) = -5*g**2 - 426*g - 427. Let z(w) = 2*w**2 - w. Let p(a) = -3*r(a) - 6*z(a). Factor p(f).
3*(f + 1)*(f + 427)
Let y be (-25452)/63*(618/(-88) - -7) + -9. Factor -y*d**2 + 6/11 + 4/11*d.
-2*(d - 3)*(d + 1)/11
Let u(b) = -3*b - 61. Let o be u(-21). Suppose 2*i = -3*a + 11, -o*i + 26 = i - 5*a. Factor -3*m**2 + 12 - i - 3 - 11 - 12*m.
-3*(m + 1)*(m + 3)
Let q be 5/11*(8 + 9492/(-10)). Let v = q - -428. Factor 10/11*o + 4/11 + v*o**3 + 8/11*o**2.
2*(o + 1)**2*(o + 2)/11
Suppose 7364302 - 2*a**2 - 98*a + 98*a**3 + 2*a**4 - 7364302 = 0. What is a?
-49, -1, 0, 1
Suppose 5*k - 341*b + 346*b - 135 = 0, 4*b - 120 = -5*k. Factor 36/5 + 1/5*x**4 + 37/5*x**2 - 2*x**3 - k*x.
(x - 3)**2*(x - 2)**2/5
Let j(m) be the third derivative of 0*m**3 + 0*m - 1/12*m**4 - 1 + 3*m**2 - 4/15*m**5. Let j(f) = 0. What is f?
-1/8, 0
Let n(c) be the third derivative of 0*c + 111*c**2 + 5/12*c**4 - 4/9*c**3 + 0 - 13/180*c**5. Let n(u) = 0. Calculate u.
4/13, 2
Let m(i) be the third derivative of -i**7/525 - i**6/25 - 13*i**5/50 - 7*i**4/15 + 961*i**2. Solve m(y) = 0.
-7, -4, -1, 0
Let m(s) be the third derivative of 0 - 9/4*s**3 + 1/120*s**5 - 13/24*s**4 + 0*s + 147*s**2. Factor m(l).
(l - 27)*(l + 1)/2
Let k be (417/6 - 0)/(30/(-8)). Let f = k + 58/3. Factor -3/5*r + f*r**2 - 1/5*r**3 + 0.
-r*(r - 3)*(r - 1)/5
Let h = 274 + -274. Let w(n) be the first derivative of -11 + n**3 - 3/5*n**5 + 3/4*n**4 + h*n - 1/2*n**6 + 0*n**2. Factor w(t).
-3*t**2*(t - 1)*(t + 1)**2
Suppose 256 - 3*w**3 - 7*w**2 - 184*w**2 + 2*w**3 - 235*w**2 - 684 + 855*w = 0. What is w?
-428, 1
Let c = -389648 + 389648. Suppose -4/15*u + 14/15*u**2 - 8/15*u**5 + c + 4/5*u**3 - 14/15*u**4 = 0. What is u?
-2, -1, 0, 1/4, 1
Let s(m) be the second derivative of m**6/135 - 4*m**5/45 - m**4/2 + 74*m**3/27 - 40*m**2/9 - 1709*m. Solve s(h) = 0 for h.
-4, 1, 10
Let i(p) be the first derivative of -245*p**6/33 - 504*p**5/55 + 10000*p**4/11 - 3488*p**3/3 + 6096*p**2/11 - 1280*p/11 - 2012. Let i(m) = 0. What is m?
-10, 2/7, 2/5, 8
Let 4*v**5 - 348*v**2 - 2 - 4*v**3 - 10 + 348*v**4 + 12 = 0. What is v?
-87, -1, 0, 1
Suppose 17*k - 1904 + 527 = 0. Suppose 2*r = -0*v - 4*v + 100, -k = -3*v - 3*r. Factor -4*o + 25 - v + 5*o**2 - 3*o**2.
2*(o - 1)**2
Let h be (55/(-25) - -4)*80/48. Factor 81/2*p + 9*p**2 + 1/2*p**h + 0.
p*(p + 9)**2/2
Let y(t) be the second derivative of t**5/150 - 2*t**4/5 - 13*t**3/15 + 74*t**2/15 - 553*t. Factor y(p).
2*(p - 37)*(p - 1)*(p + 2)/15
Suppose -5*w + 12 = -23, 5*o + 2*w - 22 = w. Let b = 191 + -1321/7. Solve 50/7*i**4 - 64/7*i**o + 18/7*i**2 - 12/7*i**5 + b*i - 8/7 = 0.
-1/2, 2/3, 1, 2
Let m(x) be the third derivative of -2*x**7/105 + 2*x**6/35 + 109*x**5/105 - 37*x**4/7 - 48*x**3/7 + 31*x**2 - x + 20. Suppose m(a) = 0. What is a?
-4, -2/7, 3
Let n(s) = -20*s**3 - 2926*s**2 + 4115*s - 1169. Let a(t) = -10*t**3 - 1464*t**2 + 2058*t - 584. Let m(z) = -7*a(z) + 4*n(z). Find y, given that m(y) = 0.
-147, 2/5, 1
Factor -554*w + 76*w**2 + 106*w - 471 - 214 + 1453 - 4*w**3.
-4*(w - 8)**2*(w - 3)
Let o(a) be the third derivative of -a**5/270 + 37*a**4/27 - 49*a**3/9 - 34*a**2 - 59. Solve o(n) = 0.
1, 147
Let n(m) = m**2 - 7*m - 2. Let c be n(6). Let g(p) = p**2 + 8*p + 17. Let b be g(c). Let -39*d + b*d - 8 - 578*d**2 - 74*d - 40*d = 0. Calculate d.
-2/17
Let j(s) = 3*s**2 + 4*s + 4. Let l(z) = 2*z - 7. Let v be l(3). Let p be j(v). Factor -2*w**4 - 162*w**p + 4*w**4 + 32*w**2 + 178*w**3.
2*w**2*(w + 4)**2
Let t(q) be the third derivative of -2*q + 1/30*q**4 + 0*q**3 - 52*q**2 - 13/300*q**6 + 11/150*q**5 + 0. What is g in t(g) = 0?
-2/13, 0, 1
Factor -2*m**2 + 6655 + 3*m - 7007 - 57*m.
-2*(m + 11)*(m + 16)
Let i(k) be the third derivative of k**5/90 - 3161*k**4/36 + 3160*k**3/9 + 2*k**2 + 2835. Let i(w) = 0. What is w?
1, 3160
Let m(p) be the first derivative of -5/6*p**3 - 1/2*p**4 - 1/2*p**2 + 0*p + 238 - 1/10*p**5. Factor m(q).
-q*(q + 1)**2*(q + 2)/2
Suppose x = 2*d - 7, -423*d + 16 = -3*x - 418*d. Let a(t) be the first derivative of -16/5*t**5 + 30 + 16/3*t**x - t**4 + 2*t**2 + 0*t. Factor a(b).
-4*b*(b - 1)*(b + 1)*(4*b + 1)
Let j(f) be the second derivative of -4*f**5/15 + f**4/6 - 63*f**2/2 - 54*f. Let x(z) be the first derivative of j(z). Factor x(o).
-4*o*(4*o - 1)
Let w(r) be the second derivative of r**9/4032 - 3*r**8/2240 + 3*r**7/1120 - r**6/480 - 3*r**3 - 12*r. Let j(l) be the second derivative of w(l). Factor j(x).
3*x**2*(x - 1)**3/4
Let s(w) = 18*w - 9*w**3 + 7 - 7 - 24*w**2 - 45*w. Let c(i) = 8*i**3 + 24*i**2 + 26*i. Let r(t) = 6*c(t) + 5*s(t). Factor r(h).
3*h*(h + 1)*(h + 7)
Let y(j) be the third derivative of -j**7/735 - 13*j**6/210 - 34*j**5/105 + 13*j**4/42 + 23*j**3/7 - 15*j**2 - j - 10. Let y(r) = 0. Calculate r.
-23, -3, -1, 1
Let j be (31/35 - 1)/((-20244)/294 - -68). Factor -4/15*t**2 + 4/5 + 2/3*t - j*t**3.
-2*(t - 2)*(t + 1)*(t + 3)/15
Solve 83 + 230 + 368*u**2 + 157 + 245*u - 363*u**2 = 0.
-47, -2
Let m(h) be the first derivative of -3*h - 6 + 1/4*h**3 + 1/18*h**4 + 5/12*h**2. Let b(y) be the first derivative of m(y). Solve b(c) = 0.
-5/4, -1
Factor -204*q**3 + 328*q**2 + 75*q**3 + 46*q**3 + 126*q + 1464*q + 85*q**3.
2*q*(q + 5)*(q + 159)
Suppose 0 = 13*h + 4*h - 12*h. Let v(q) be the first derivative of 14 + h*q - 2/57*q**3 + 0*q**2. Factor v(k).
-2*k**2/19
Let x(q) = q**2 - 5*q - 2. Let v = -25 + 27. Let y(h) = 11*h + 29 - 55 - 2*h**v + 30. Let j(d) = -9*x(d) - 4*y(d). Suppose j(o) = 0. Calculate o.
-1, 2
Factor -20/9 + 10/9*v**3 + 2/9*v**4 - 34/9*v - 2/3*v**2.
2*(v - 2)*(v + 1)**2*(v + 5)/9
Let m(d) be the third derivative of 1/10*d**5 - 16*d**2 + 1/8*d**4 + 0*d + 0*d**3 + 0 + 1/40*d**6. Factor m(w).
3*w*(w + 1)**2
Let d(v) be the second derivative of v**5/60 - 35*v**2/2 + 42*v - 1. Let k(u) be the first derivative of d(u). Solve k(j) = 0 for j.
0
Let a(t) = 3*t**5 - 414*t**4 + 795*t**3 + 2676*t**2 + 1530*t. Let s(x) = 4*x**4 - 8*x**3 + x. Let g(p) = -a(p) - 6*s(p). Find l, given that g(l) = 0.
-1, 0, 4, 128
Let b(w) be the third derivative of w**6/120 - w**5/3 - 50*w**4/3 + 4000*w**3/3 - 4*w**2 - 30*w + 1. Solve b(n) = 0 for n.
-20, 20
Let x be (-3)/7 + 36834/(-1176) + 33. Solve -x*d - 1/4*d**2 - 1 = 0 for d.
-4, -1
Let w(r) be the third derivative of r**5/270 + 937*r**4/27 + 3511876*r**3