)
Solve 43562*u**2 - 43530*u**2 + 510*u - 308 + 2*u**3 - 428*u = 0.
-11, -7, 2
Let k be 1 - ((-4)/5)/((-8)/(-20)). Suppose 6*a + k = 5*a, 10 = 2*u - 2*a. Factor 25 - u*n**4 + 12*n**3 - 25.
-2*n**3*(n - 6)
Let s(y) be the third derivative of 0 + 1/3*y**3 + 0*y + 19/30*y**5 - 7/9*y**4 - 2*y**2. Determine o so that s(o) = 0.
3/19, 1/3
Let w(u) be the first derivative of u**4/24 + 23*u**3/6 + 85*u**2/4 - 325*u/6 + 5. Find q, given that w(q) = 0.
-65, -5, 1
Let q be (2 + 1)/((-12)/(-8)). Let t be (-6)/(-45) + -8*(-14)/60. Factor -16 - 2*r**q + 80*r - 4 + 0 + 47*r**t.
5*(r + 2)*(9*r - 2)
Factor -32*v**2 + 5*v**3 - 9*v**3 + 80 + 76*v**2 + 16 - 5*v - 131*v.
-4*(v - 6)*(v - 4)*(v - 1)
Suppose -1 = 5*y - 16. Let q be (-4)/14 + (5 - y). Let -q*m**2 + 3/7*m**3 + 15/7*m - 6/7 = 0. Calculate m.
1, 2
Let i(w) be the third derivative of w**7/105 - 31*w**6/60 - 179*w**5/10 + 6021*w**4/4 - 5832*w**3 + 8166*w**2. Suppose i(v) = 0. What is v?
-24, 1, 27
Suppose 5*i + 0*j + 4*j + 10 = 0, -2*i - 22 = -2*j. Let y be ((-2)/4)/((i + -3)/54). Factor -1/2 + z**y + 0*z**2 - z + 1/2*z**4.
(z - 1)*(z + 1)**3/2
Let d be (-197)/(-5) - ((-162)/(-30) - 6). Suppose 6 = -3*f + 4*t, 24 - d = -2*f - 4*t. Determine s, given that 9/5*s**f - 3/5*s**3 + 0*s + 0 = 0.
0, 3
Let b(f) = f**3 + 12*f**2 + 2*f + 24. Suppose -s = -5*s + d - 43, -3*d = s + 27. Let j be b(s). Factor 18/5*v**2 + 34/15*v**4 + 6*v**3 + j - 18/5*v + 4/15*v**5.
2*v*(v + 3)**3*(2*v - 1)/15
Let -3412*k**4 + 51*k**2 + 54*k**3 + 318*k + 3420*k**4 + 48 + 81*k**2 - 182*k = 0. What is k?
-2, -3/4
What is q in -334/11*q**2 + 398/11*q + 82/11*q**3 - 6/11*q**4 - 140/11 = 0?
2/3, 1, 5, 7
Let k(h) be the third derivative of -12 + 0*h - 7/40*h**6 + 0*h**3 + 3*h**2 + 0*h**5 - 1/70*h**7 + 0*h**4. Let k(q) = 0. Calculate q.
-7, 0
Suppose 5*m + 118 = 113. Let g be (2 + m)/(2 + (-12)/8). Solve -1/2*j - 1/4*j**4 + 1/2*j**3 - 3/4 + j**g = 0 for j.
-1, 1, 3
Suppose -750 = -41*v + 70. Let w(z) = -z**3 + 20*z**2 - 5*z + 105. Let h be w(v). Factor 8/9*f**h + 2/3*f**3 + 2*f**4 - 2/3*f - 10/9*f**2 + 0.
2*f*(f + 1)**3*(4*f - 3)/9
Let m(b) = b**2 - 1. Let j(y) = -12*y**2 - 42*y**2 - 3 + 59*y**2 - 2*y. Suppose 5*h - 64 = -2*f + 6*f, 5*f - 43 = -4*h. Let o(c) = h*m(c) - 3*j(c). Factor o(r).
-3*(r - 1)**2
Suppose 3*u + 4*v = 909, 2*v + 592 = -0*u + 2*u. Let q = -94 - -97. Factor 84*t**2 + 20*t**3 + 289*t + u*t - 16*t**q + 1372.
4*(t + 7)**3
Let a(r) = -4*r**2 - 327*r - 5541. Let f be a(-24). Suppose -1/5*g**f + 8/5*g**2 + 2 - 17/5*g = 0. Calculate g.
1, 2, 5
Let w(s) be the second derivative of s**7/560 - s**6/16 + 10*s**3 - 13*s - 3. Let y(t) be the second derivative of w(t). Let y(k) = 0. What is k?
0, 15
Let z(s) be the second derivative of -1/4*s**4 + 0*s**2 + 0 + 3/14*s**7 + 1/10*s**6 + 26*s + s**3 - 3/4*s**5. Determine d so that z(d) = 0.
-1, 0, 2/3, 1
Let z be -4*(33/(-55) - 6/96*(-33)/5). What is h in 0 + z*h**2 + 3/2*h**3 - 3/4*h**4 - 3/2*h = 0?
-1, 0, 1, 2
Let b(h) = 5*h**2 + 368*h + 7226. Let z = -160 - -105. Let f(s) = -45*s**2 - 3310*s - 65035. Let y(c) = z*b(c) - 6*f(c). Determine o, given that y(o) = 0.
-38
Let h be 2 - 408/(-33) - (-1)/(((-848)/96)/53). Let -2/11*c**5 - 5120/11*c**2 + 16384/11*c + 0 - h*c**4 - 1344/11*c**3 = 0. What is c?
-16, 0, 2
What is t in -170 + 5*t**2 - 10 - 150 + 325*t = 0?
-66, 1
Let m = 3842/39 - 1259/13. Suppose 5/2*f**2 + 5/3*f**3 - 5/2*f - m = 0. What is f?
-2, -1/2, 1
Let x(s) be the first derivative of 2*s**5 - 165*s**4/4 + 70*s**3/3 + 165*s**2/2 - 80*s - 2082. Suppose x(p) = 0. Calculate p.
-1, 1/2, 1, 16
Factor -81/4 + 21*k**3 + 61*k - 123/2*k**2 - 1/4*k**4.
-(k - 81)*(k - 1)**3/4
Let g be 24/5 + (-40)/50. Factor 24*q**g + 53*q**4 - 10*q**4 + 8*q**4 - 20*q**5 - 100*q**3 + 50*q**2 - 5.
-5*(q - 1)**4*(4*q + 1)
Let p(i) be the second derivative of -1/10*i**5 + 1 + 12/5*i**2 + 29*i - 1/30*i**4 + 1/75*i**6 + 17/15*i**3. Factor p(n).
2*(n - 4)*(n - 3)*(n + 1)**2/5
Let b be (2 + (-9 - -5))*(-2)/40. Let x(l) be the second derivative of 0*l**3 + 0*l**4 + 0*l**2 + 0 + 3/10*l**5 - 16*l - b*l**6 - 1/14*l**7. Factor x(c).
-3*c**3*(c - 1)*(c + 2)
Let x(n) be the first derivative of -28*n**3/3 + 76*n**2 + 180*n - 2359. Determine q so that x(q) = 0.
-1, 45/7
Let b(f) be the third derivative of -f**5/140 + 17*f**4/28 - 33*f**3/14 - 978*f**2. Factor b(g).
-3*(g - 33)*(g - 1)/7
Let w(m) = m**3 + 6*m**2 - 1. Let i(o) = 9*o**3 + 634*o**2 - 4. Let t(y) = -i(y) + 4*w(y). Factor t(v).
-5*v**2*(v + 122)
Suppose 4*n = 2*o + 2*o + 12, 44 = 3*n + 4*o. Let c = 10 - n. Factor 3 - 3 + 876*m**2 - 2 - 875*m**c + m.
(m - 1)*(m + 2)
Suppose 0 = 26*y + 17*y - 2279 + 2193. Suppose 52*q**y + 0 - 24*q + 5/3*q**4 + 58/3*q**3 = 0. What is q?
-6, 0, 2/5
Let m be 224/(-294)*((-33)/(-12) + -5). Let k(b) = -2*b**2 - 2*b. Let g be k(-1). Suppose 16/7*d**5 - m*d**3 + 20/7*d**4 - 20/7*d**2 - 4/7*d + g = 0. What is d?
-1, -1/4, 0, 1
Let s(v) be the second derivative of -v**6/75 + 107*v**5/50 - 7*v**4/2 - 107*v**3/15 + 106*v**2/5 - 1500*v. Determine f, given that s(f) = 0.
-1, 1, 106
Let o(m) be the third derivative of -m**6/40 + 23*m**5/20 + 3*m**4 - 2*m**2 - 746*m - 2. Factor o(q).
-3*q*(q - 24)*(q + 1)
Let v = 2352 + -1655. Let j = -4873/7 + v. Determine a so that 0 + 2/7*a**3 + j*a**4 - 16/7*a**2 + 8/7*a = 0.
-2, 0, 2/3, 1
Let r(n) = 6*n**2 + 40*n - 3. Let w be r(-7). Factor 3 + 2 - w*c**2 + 10*c**2 + 3 + 8*c + 1.
-(c - 9)*(c + 1)
Let h be (-2)/(-3) - 104/(-78). Factor -11*r + 7*r - 2*r**h + 6*r + 4.
-2*(r - 2)*(r + 1)
Solve 49672*p**2 - 12996 - 6754*p**4 - 1756*p**3 - 10332 - 80784*p + 6770*p**4 = 0.
-1/4, 2, 54
Let z be (-124)/(-620) + 22/(-95). Let g = z - -69/19. Let -2/5*j**2 - g*j + 0 = 0. What is j?
-9, 0
Let o = -1896575/6 + 316096. Factor -o*c**2 - 13/3*c - 169/6.
-(c + 13)**2/6
Let d be 8*2 + ((-660)/2145 - 356/26). Determine o so that 2*o - 2/7*o**d + 0 = 0.
0, 7
Solve 422*j**5 + 10*j**4 + 1018*j**5 + 171*j + 777*j**2 - 4305*j**3 - 3677*j**2 - 5*j**5 - 191*j = 0 for j.
-1, -2/287, 0, 2
Let p(q) be the second derivative of -q**6/195 - 9*q**5/130 + 5*q**4/39 - 690*q. Factor p(i).
-2*i**2*(i - 1)*(i + 10)/13
Let t(x) be the second derivative of x**7/126 - 59*x**6/9 - 238*x**5/3 - 3580*x**4/9 - 9560*x**3/9 - 4784*x**2/3 - 163*x - 10. Factor t(w).
(w - 598)*(w + 2)**4/3
Let o(p) be the first derivative of -p**4/28 - 29*p**3/21 - 95*p**2/14 + 125*p/7 - 140. Find y such that o(y) = 0.
-25, -5, 1
Let p(d) = -d. Let w(g) = 4*g**2 - 9*g + 1. Let r(i) = -6*p(i) + w(i). Let h(z) = -5*z**2 + 5*z - 2. Let s(a) = -4*h(a) - 6*r(a). Factor s(x).
-2*(x + 1)*(2*x - 1)
Let s(i) be the first derivative of -35 + 0*i**2 - 2/15*i + 2/45*i**3. Let s(m) = 0. What is m?
-1, 1
Find h such that 20/9*h**2 + 2/9*h**5 - 4 + 40/9*h**3 - 14/3*h + 16/9*h**4 = 0.
-3, -2, -1, 1
Let f(n) be the second derivative of n**5/20 - n**4/12 - 26*n**3 + n - 2850. Factor f(c).
c*(c - 13)*(c + 12)
Factor 28649 - 4*z**4 + 275*z - 83*z - 28649 - 256*z**2 + 68*z**3.
-4*z*(z - 12)*(z - 4)*(z - 1)
Factor 14305*s**3 - 2788*s**2 - 52908*s**2 + 940*s**4 + 40447*s**3 + 4*s**5.
4*s**2*(s - 1)*(s + 118)**2
Let y(x) be the second derivative of -1/4*x**4 + 38/5*x**3 - 9/2*x**2 + 0 + 15*x. Suppose y(v) = 0. Calculate v.
1/5, 15
Let h be ((-75)/30)/(1155/(-5148)). Suppose 102/7*y**3 - 3/7*y + 6/7 + 3*y**5 - h*y**4 - 48/7*y**2 = 0. Calculate y.
-2/7, 1
Let o(k) = -k**3 + 7*k**2 + k - 4. Suppose -3*t - 27 = -48. Let m be o(t). Determine c so that 5*c - 4*c - c - 2*c**m + 6*c**2 = 0.
0, 3
Let t(h) = h**2 + 3*h - 1. Let f be t(1). Determine w, given that -83*w + 30 + 48*w**2 - f*w**3 + 17 - 70*w + 61 = 0.
1, 3, 12
Let d(i) be the first derivative of 192*i + i**3 + 6 - 59*i**2 + 83*i**2 + 2. Solve d(w) = 0 for w.
-8
Let m(t) = -6*t**2 + 280*t + 322. Let x(u) = 13*u**2 - 554*u - 648. Let j(a) = -9*m(a) - 4*x(a). What is p in j(p) = 0?
-1, 153
Suppose 4*h = -3*t + 30, -4*h - 6*t = -5*t - 34. Suppose -3*g = h, 0 = q - 5*g - 1 - 16. Factor 1/2*r**q - 1/2*r - 3.
(r - 3)*(r + 2)/2
Let z(l) = 4*l**3 - 25*l**2 - 14*l + 1. Let b be z(7). Factor -31*m**3 - 30*m**2 - 2*m - 13*m + b + 26*m**3.
-5*(m - 1)*(m + 2)*(m + 5)
Let d be 95/20 - (-12 + 0)/(-4). Suppose -5*g + 19 = -3*n - 0*g, 3*g = -3*n + 21. Factor 4*q**3 + d*q**4 + 2*q**n - 4 + 1/4*q**5 - 4*q.
(q - 1)*(q + 2)**4/4
Suppose 0 = 2*v - v - r - 278, 5*