3 - 286*d**2 = 0.
-27, 1/4, 1
Suppose 4 = 28*n - 26*n. Let b(u) = -19*u**2 + 4 + 8*u**n + 18*u**2 + 2 - u. Let q(j) = -j**2 + j. Let z(i) = -b(i) - 6*q(i). Factor z(a).
-(a + 2)*(a + 3)
Let m(f) be the third derivative of f**8/84 + f**7/7 - 113*f**6/120 + 87*f**5/40 - 31*f**4/12 + 7*f**3/4 - 677*f**2. Find s such that m(s) = 0.
-21/2, 1/2, 1
Let p(c) be the third derivative of c**7/14 + 119*c**6/10 - 87*c**5/2 + 73*c**4/2 + 97*c**3/2 + c**2 - 920. Determine j so that p(j) = 0.
-97, -1/5, 1
Let d(m) be the first derivative of 9*m**4/4 + 203*m**3 + 5100*m**2 - 3468*m + 2760. Factor d(q).
3*(q + 34)**2*(3*q - 1)
Let m(g) be the first derivative of -1/7*g**3 - 10 - 9/7*g**2 + 0*g. Factor m(h).
-3*h*(h + 6)/7
Let f(x) be the first derivative of 6/5*x**4 + 0*x + 0*x**3 - 90 + 0*x**2 + 2/25*x**5. Solve f(c) = 0.
-12, 0
Let d(l) be the first derivative of l**6/24 + 8*l**5/3 + 73*l**2 - 46. Let t(m) be the second derivative of d(m). Factor t(q).
5*q**2*(q + 32)
Let a(d) be the third derivative of -d**8/1848 + 16*d**7/385 - 23*d**6/110 + 68*d**5/165 - 15*d**4/44 + 1451*d**2. Factor a(g).
-2*g*(g - 45)*(g - 1)**3/11
Let w(z) be the first derivative of 18 + 1/2*z**4 + 12*z - 4/3*z**3 - 5*z**2. Factor w(a).
2*(a - 3)*(a - 1)*(a + 2)
Let y(s) = -2*s**2 - 16*s + 5. Let h be y(-8). Let f be (h*1)/((-21)/(-14) + 1). Factor 0 + 4/5*g**f + 8/5*g.
4*g*(g + 2)/5
Suppose 2 + 18 = z. Factor -6*n**3 - 7*n - 11*n**3 + z + 27*n - 15*n**2 + 5*n**4 + 7*n**3.
5*(n - 2)**2*(n + 1)**2
Let n = -406978/3 - -135664. Factor -1/3*s**2 + 5*s - n.
-(s - 14)*(s - 1)/3
Find z such that -316/3 + 262*z - 2*z**3 - 464/3*z**2 = 0.
-79, 2/3, 1
Suppose 5*d = -4*l + 7*d + 3688, 5*d = 3*l - 2780. Let o = l - 917. Find r, given that -1/3*r**5 + 2/3*r + 5/3*r**2 + 0 + r**o - 1/3*r**4 = 0.
-1, 0, 2
Suppose 63 = t + 61. Factor 10*x - x**t + 100 + 6*x**2 - 95.
5*(x + 1)**2
Let 49*t**2 - 1140 + t**3 + 424 - 85*t + 759 - 8*t**2 = 0. Calculate t.
-43, 1
Determine o, given that -76*o**3 + 5 + 12*o - 14*o**2 + 0*o**4 + 5 + 30 + 73*o**3 + o**4 = 0.
-2, 2, 5
Suppose 638 - 617 = 7*q. Suppose 0*g = q*g + 4*p - 21, g = 3*p - 6. Factor 2/7 - 4/7*s**2 + 0*s**g + 2/7*s**4 + 0*s.
2*(s - 1)**2*(s + 1)**2/7
Suppose 1929/2*l - 25921/6*l**3 - 9 - 25760*l**2 = 0. Calculate l.
-6, 3/161
Let q(i) = 28*i**3 - 200*i**2 - 1473*i - 2817. Let o(y) = -12*y**3 + 100*y**2 + 736*y + 1408. Let z(b) = -9*o(b) - 4*q(b). Factor z(f).
-4*(f + 3)*(f + 9)*(f + 13)
Factor -124/3*n**3 - 12*n**4 - 176/3*n**2 - 28/3 - 2/3*n**5 - 38*n.
-2*(n + 1)**4*(n + 14)/3
Let y be 6*4/(48/14). Suppose 14 = 4*g + 2*a, 4*g = -4*a + 9 + y. Let -43*c + 11*c**2 + 31*c - 8 - g*c**2 = 0. Calculate c.
-1/2, 2
Let v be 20/15 + 4/6. Suppose -16*a + 4*a**5 - 12*a**3 + 8*a**4 - 32*a**v - 160 + 160 = 0. Calculate a.
-2, -1, 0, 2
Let x = 70 + -50. Suppose -5*q - m - m = -x, -4*q - m = -16. Suppose -q*k**5 + 3*k**3 + 4*k**2 - k**3 - 12*k**4 + 8*k**4 + 2*k**3 = 0. Calculate k.
-1, 0, 1
Let p(q) be the third derivative of -q**5/40 + 63*q**4/16 + 77*q**2 - 6*q. Let p(v) = 0. Calculate v.
0, 63
Let c(s) be the first derivative of -2*s**3/21 + s**2/7 + 4*s/7 - 1787. Factor c(f).
-2*(f - 2)*(f + 1)/7
Factor 357 - 4*m**2 + m**2 - 485*m + 455*m.
-3*(m - 7)*(m + 17)
Let s(p) be the second derivative of -p**5/100 - 281*p**4/30 + 563*p**3/30 - 4317*p. Factor s(u).
-u*(u - 1)*(u + 563)/5
Let f(t) = -t**2 - 63*t + 1. Let q(m) = -62*m**2 + 18139*m - 2763. Let w(a) = 3*f(a) + q(a). Let w(o) = 0. What is o?
2/13, 276
Let a be (-121)/(-418)*14 + 5/(-95). Let r(v) be the first derivative of 3*v - 42 - 1/2*v**2 - 1/12*v**a - 5/9*v**3. Suppose r(m) = 0. Calculate m.
-3, 1
Let j be (-3 - 20/(-15))/((-295)/708). Let 345/2*v**3 + 45/2*v**j + 215/2*v + 15 + 485/2*v**2 = 0. What is v?
-6, -1, -1/3
Let w(m) be the second derivative of m**6/300 - 83*m**5/200 + 2*m**4 + m**3/15 - 16*m**2 + 31*m - 30. Determine d so that w(d) = 0.
-1, 2, 80
Let x(y) = y**3 + 6*y**2 - 21*y - 41. Let h be x(-8). Let j be -5 - 27/(-6) - h. What is n in j*n**2 + 1/2*n + 0 = 0?
-1, 0
Let b(x) be the third derivative of x**9/423360 + x**8/47040 + 2*x**5/15 - x**4/24 - 13*x**2. Let u(t) be the third derivative of b(t). Factor u(w).
w**2*(w + 3)/7
Let y(o) = 60*o**3 + 91*o**2 + 59*o. Let u(l) = -12*l**3 - 18*l**2 - 12*l. Let m(a) = 14*u(a) + 3*y(a). Factor m(g).
3*g*(g + 1)*(4*g + 3)
Let s(l) be the second derivative of -l**7/21 - 29*l**6/90 + l**5/60 + 47*l**4/36 + 5*l**3/18 - 3*l**2 + 290*l + 4. Determine o, given that s(o) = 0.
-9/2, -1, 2/3, 1
Let p(k) = -25*k**2 - 155*k + 35. Let l(w) = -2*w**2 - 13*w + 3. Let b be 13*-3 - (-12)/9*3. Let t(d) = b*l(d) + 3*p(d). Factor t(y).
-5*y*(y + 2)
Let l = -80 - -126. Suppose 4*f - l = -26. Factor -3*n**2 + 0*n**4 - 4*n**4 + n**2 - n + n**f + 6*n**4.
n*(n - 1)*(n + 1)**3
Let d(i) be the second derivative of -5/3*i**3 + 171*i - 1 + 5/12*i**4 + 5/2*i**2. Factor d(o).
5*(o - 1)**2
Factor -22*n**3 + 24*n**3 + 108 - 34*n**2 - 78*n + 42*n**2.
2*(n - 3)*(n - 2)*(n + 9)
Suppose 2*b - 72 = -4*j, 28*b - 31*b + 3*j + 81 = 0. Let a be 2136/360 + (-9)/b*2. Determine w so that 0 - 8/3*w**2 + a*w + 1/3*w**3 = 0.
0, 4
Suppose 3279 + 2773*w + 1315*w**2 - 3*w**3 - 322*w + 4104*w + 1958*w**2 = 0. What is w?
-1, 1093
Let t be 18*((-2)/3 + 608/192). Suppose -5*i**3 + 6*i**3 - 30*i**2 - t*i + 6*i**3 - 2*i**3 + 70 = 0. Calculate i.
-2, 1, 7
Let w = -108/11 - -315/22. Let c = 153 + -151. Let -w - 21/2*t - 3/2*t**3 - 15/2*t**c = 0. Calculate t.
-3, -1
Suppose -b = u + 3*u - 88, -5*u - 176 = -2*b. Suppose -2*y - b = -24*y. Factor -1/6*f**y + 0 + 1/3*f**3 + 1/2*f**2 + 0*f.
-f**2*(f - 3)*(f + 1)/6
Suppose 588698*b**3 - 588695*b**3 - 282 + 4110 + 945*b**2 - 3816*b = 0. What is b?
-319, 2
Determine y, given that 2/7*y**5 - 692/7*y**3 - 2064/7*y + 832/7 + 1832/7*y**2 + 90/7*y**4 = 0.
-52, 1, 2
Let x = 2114/3 + -683. Let h(b) be the first derivative of x*b**3 + 5*b**2 + 30*b**4 + 9*b**5 + 0*b - 11. Determine c so that h(c) = 0.
-2, -1/3, 0
Let q(p) be the third derivative of -p**7/105 + p**6/6 + p**5/2 - 10*p**4/3 - 44*p**3/3 - 2346*p**2. Suppose q(f) = 0. What is f?
-2, -1, 2, 11
Let a(s) be the third derivative of -1/4*s**4 + 0 - 1/56*s**8 + 0*s**3 + 0*s + 45*s**2 - 3/5*s**6 + 47/210*s**7 + 37/60*s**5. Find p, given that a(p) = 0.
0, 1/3, 1/2, 1, 6
Let u(y) be the third derivative of -y**8/141120 + y**7/7056 - 17*y**5/12 + 56*y**2. Let s(q) be the third derivative of u(q). Factor s(h).
-h*(h - 5)/7
Let i(u) = 7*u**3 + 34*u**2 + 285*u + 252. Let w(d) = 5*d**3 + 34*d**2 + 285*d + 252. Let l(j) = -2*i(j) + 3*w(j). Suppose l(a) = 0. What is a?
-21, -12, -1
Solve 450*h**2 - h**5 - 30*h**3 - 80*h**3 - 90*h**4 - 78*h**4 + 186*h**4 + 162 - 369*h - 150*h**2 = 0 for h.
1, 2, 3, 9
Let d(c) be the first derivative of -32*c**6/21 + 192*c**5/35 - 8*c**4 + 128*c**3/21 - 18*c**2/7 + 4*c/7 + 1236. Find y, given that d(y) = 0.
1/2, 1
Let h = -2732 - -2737. Let d(b) be the second derivative of 7/50*b**h + 0*b**2 + 0*b**3 + 0 - 2/25*b**6 + 24*b - 1/30*b**4. Factor d(i).
-2*i**2*(i - 1)*(6*i - 1)/5
Let u(m) be the first derivative of -m**6/90 + m**5/6 - m**4 + 37*m**3 - 22. Let b(d) be the third derivative of u(d). Solve b(t) = 0 for t.
2, 3
Suppose -3751*n = -3750*n. Let n + 125/3*t**2 - 10*t - 20*t**3 - 35/3*t**4 = 0. What is t?
-3, 0, 2/7, 1
Let y(j) be the third derivative of j**5/300 - 41*j**4/60 + 16*j**3/3 - 2*j**2 - 48*j - 4. Factor y(q).
(q - 80)*(q - 2)/5
Let o(s) = -689*s + 4136. Let l be o(6). Factor 7/3*r + 10/3 - l*r**2.
-(r - 2)*(6*r + 5)/3
Let k(w) be the third derivative of 2*w**7/15 + 9*w**6/2 + 274*w**5/5 + 784*w**4/3 + 256*w**3 + 2*w**2 - 968. Factor k(h).
4*(h + 3)*(h + 8)**2*(7*h + 2)
Let w(u) = -u**3 - 9*u**2 - 7*u - 13. Let j be w(-7). Let d = j - -65. Factor -d*c**4 - 4*c - 5*c**2 + 6*c**3 - 2*c + 8*c**2.
-3*c*(c - 2)*(c - 1)*(c + 1)
Suppose -61 + 28 = -11*t. Let n(c) be the first derivative of 3/4*c**4 + 0*c**2 + 12*c - 3*c**t + 12. Factor n(h).
3*(h - 2)**2*(h + 1)
Let j(v) be the third derivative of -v**5/30 - v**4/2 + 7*v**2 - 149. Factor j(o).
-2*o*(o + 6)
Let q = 700 - 698. Let y(u) be the first derivative of 15 - 20/21*u**3 + 0*u + 2/7*u**q. Factor y(z).
-4*z*(5*z - 1)/7
Let c = 24 + -17. Suppose 0 = -3*n + c*n - 48. Determine j so that -n*j + 37*j - 72 - 2*j**2 - j = 0.
6
Suppose 654 =