.
4*(w - 4)*(w + 2)/7
Let q = 106 - 42. Let v = q - 55. Determine g so that 2*g**2 - 4*g**3 + v*g**3 + 3*g + 8*g**2 + 2*g = 0.
-1, 0
Let d(i) = 40*i**3 + 4058*i**2 - 12226*i + 44. Let o(c) = -9*c**3 - 902*c**2 + 2717*c - 10. Let j(h) = -5*d(h) - 22*o(h). Solve j(v) = 0.
-226, 0, 3
Let h(z) be the third derivative of -z**7/840 + 7*z**6/480 - z**5/40 - 1733*z**2. Factor h(o).
-o**2*(o - 6)*(o - 1)/4
Let x(n) be the second derivative of -27/190*n**5 - 8/57*n**3 - 11/285*n**6 - 8*n + 0 - 1/399*n**7 + 0*n**2 - 25/114*n**4. Factor x(h).
-2*h*(h + 1)**3*(h + 8)/19
Let c be (-50)/(-8) + 2 - (4/24 + 1034/132). Factor -c*b**3 - 63*b + 162 - 17/2*b**2.
-(b - 2)*(b + 18)**2/4
Factor 1/3*c**4 + 0 - 2/3*c**3 + 1/6*c**5 + 1/2*c - 1/3*c**2.
c*(c - 1)**2*(c + 1)*(c + 3)/6
Factor 27693244*f + 0*f**4 - 3*f**4 - 27690760*f + 399*f**3 + 2052*f**2.
-3*f*(f - 138)*(f + 2)*(f + 3)
Let p(o) = -8*o**5 - 34*o**4 + 150*o**3 - 131*o**2 + 51*o. Let f(n) = -n**5 + n**4 + 3*n**3 + n. Let b(x) = -21*f(x) + 3*p(x). Factor b(u).
-3*u*(u - 1)**3*(u + 44)
Let n(h) be the first derivative of 1/24*h**6 - 3*h**2 + 23/16*h**4 - 25/12*h**3 - 129 + 5/4*h**5 + 0*h. Determine x so that n(x) = 0.
-24, -1, 0, 1
Let x = -28 - -15. Let j = x - -13. Factor -133*v**4 - 2*v**3 + 0 + 132*v**4 + j.
-v**3*(v + 2)
Let u be (9/(-2))/9*15192/(-28). Let x = u - 271. Find r, given that 4/7*r**3 + 4/7*r**2 - 2/7 - 2/7*r - 2/7*r**5 - x*r**4 = 0.
-1, 1
Factor -58/11*g**2 - 104/11 - 160/11*g - 2/11*g**3.
-2*(g + 1)*(g + 2)*(g + 26)/11
Let l(v) be the first derivative of -4*v**3/15 + 1242*v**2/5 + 2488*v/5 + 1310. Factor l(q).
-4*(q - 622)*(q + 1)/5
Let y(b) be the third derivative of 0 - 1/20*b**5 - 186*b**2 + 0*b**3 + 0*b - 9/2*b**4. Find o such that y(o) = 0.
-36, 0
Suppose -588/5*b**2 - 594/5 - 237*b + 3/5*b**3 = 0. What is b?
-1, 198
Let y(c) be the third derivative of -37*c**2 - 11/60*c**5 - 1/210*c**7 + 0 + 7/120*c**6 + 0*c**3 + 0*c + 5/24*c**4. Factor y(v).
-v*(v - 5)*(v - 1)**2
Suppose 3*h = -5*x + 10*x - 24, -h = -x + 4. Let r(w) be the first derivative of 17 + 1/2*w**3 + 0*w - 1/6*w**h. Factor r(z).
z*(9*z - 2)/6
Let l(m) = -2*m**3 + 6*m**2 + 8*m + 18. Let d be l(-4). Let s be d/49*(-1 + (-69)/(-15)). Determine a so that s + 36/7*a + 3/7*a**2 = 0.
-6
Let s = 1073 - 1075. Let r be s*(-5 + 189/49). Let 12/7*x**2 + 0*x + 4/7*x**4 + 0 - r*x**3 = 0. What is x?
0, 1, 3
Factor -32/5*w**2 + 2/5*w**3 + 0 + 0*w.
2*w**2*(w - 16)/5
Let k(b) be the first derivative of b**4/46 - 380*b**3/69 + 748*b**2/23 - 1488*b/23 + 9576. Find s such that k(s) = 0.
2, 186
Let b(k) = 182*k - 182. Let a be b(1). Let r(f) be the second derivative of 1/54*f**4 + f**2 + 2/9*f**3 + 7*f + a. Factor r(s).
2*(s + 3)**2/9
Let l(s) = 2*s**2 + 30*s - 99. Let d be l(-18). Factor -1/2*x**2 - d*x - 81/2.
-(x + 9)**2/2
Factor 5580/7*i - 23766/7*i**2 + 289/7*i**3 - 328/7.
(i - 82)*(17*i - 2)**2/7
Let f(d) = d**3 - 47*d**2 + 71*d - 5710. Let n be f(48). Factor -9/2*x + 0 + 15*x**n.
3*x*(10*x - 3)/2
Let m(t) be the second derivative of -2*t - 1/3*t**4 + 0*t**2 + 1/30*t**6 + 4 + 3/40*t**5 + 1/3*t**3 - 1/84*t**7. Suppose m(s) = 0. What is s?
-2, 0, 1, 2
Suppose 2*p = -6*p - 2*p. Suppose 8*w - 110 + 6 = p. Factor -3 + 66 + w + 24*u**2 + 96*u + 52 + 2*u**3.
2*(u + 4)**3
Let w be ((-96)/(-9))/((-6)/(-9)). Let -3*p**2 + 4*p**3 + 11*p**2 + 4*p - w*p = 0. Calculate p.
-3, 0, 1
Suppose 3*t + 5*y - y = 1232, 4*t - y - 1630 = 0. Suppose -240*i**2 + 532*i**3 + 100*i**5 - 55 - t*i**4 + 123 - 68 + 16*i = 0. What is i?
0, 2/25, 1, 2
Solve 2/5*d**2 - 80*d - 402/5 = 0.
-1, 201
Factor -10*f**3 + 4890*f**4 - 4888*f**4 - 110*f**2 - 22*f**3 - 76*f.
2*f*(f - 19)*(f + 1)*(f + 2)
Let w(z) = z**2 + 504*z + 12. Let r(a) = a**2 - a - 3. Let t(d) = -4*r(d) - w(d). Factor t(v).
-5*v*(v + 100)
Suppose -10*w = -14*w + 16. Factor w*i**2 - 30 - i - i - 22 + 50*i.
4*(i - 1)*(i + 13)
Let r(i) = -33*i**2 + 31*i + 44. Let z(f) = -40*f**2 + 30*f + 46. Let l(g) = -6*r(g) + 5*z(g). Factor l(d).
-2*(d + 1)*(d + 17)
Let 258708*v**3 - 4*v**2 - 258710*v**3 - 2*v**2 = 0. What is v?
-3, 0
Let a(v) = v**3 + 7*v**2 + 10*v + 26. Let b be a(-6). Solve 1 + 8 + 2*l**b - 9 - 8 = 0 for l.
-2, 2
Let k = -1200214 + 1200214. Factor 1/3*l**4 + k - l**2 - 2/3*l + 0*l**3.
l*(l - 2)*(l + 1)**2/3
Factor 163216/3 + 1/3*z**2 - 808/3*z.
(z - 404)**2/3
Suppose k - 5*f = 15, 5*k - 2*f = 35 - 6. Determine r so that -16/7*r**3 + 12/7*r + 8/7 - 8/7*r**2 + 0*r**4 + 4/7*r**k = 0.
-1, 1, 2
Solve 1150/3*j**2 + 113/3*j**3 + j**4 - 216 + 516*j = 0 for j.
-18, -2, 1/3
Let x(q) be the first derivative of -q**4/18 + 656*q**3/3 - 322752*q**2 + 211725312*q + 326. Find v, given that x(v) = 0.
984
What is w in -3*w**4 - 6930*w**2 + 291*w**3 + 33316*w + 6906*w + 23078*w - 201000 = 0?
10, 67
Let r = -1685 - -1694. Let t(w) = -w**3 - 6*w**2 - 2*w - 9. Let g be t(-6). Factor -8*u**g + 0*u + 4*u**4 - 8*u**2 + 2*u - 5 + 4*u**5 + r + 2*u.
4*(u - 1)**2*(u + 1)**3
Let b(n) be the first derivative of 5*n**3/3 - 650*n**2 + 84500*n + 94. Factor b(p).
5*(p - 130)**2
Let d(p) = 6702*p + 109. Let w be d(6). Let -40501*c + w*c + 174 + 11 - 5*c**2 = 0. What is c?
-37, 1
Suppose -6876*a = -6871*a - 50, -2*s - 36 = -4*a. Suppose 0*r + 0 + 0*r**3 + 12/5*r**4 - 4/5*r**5 - 16/5*r**s = 0. What is r?
-1, 0, 2
Factor -94/5*q**2 + 882/5 + 28*q + 8/5*q**3.
2*(q - 7)**2*(4*q + 9)/5
Determine o so that -192*o**2 + 255/4*o**3 - 513/8 + 769/4*o + 1/8*o**4 = 0.
-513, 1
Suppose 36*p = -13*p + 271 - 75. What is w in 0 + 15/2*w**3 + 0*w - 9*w**2 - 3/2*w**p = 0?
0, 2, 3
Suppose 8445 = -360*v + 4222 + 4223. Determine d so that 0 - 75/4*d**2 + 7/4*d**4 - 1/4*d**5 + v*d + 5/4*d**3 = 0.
-3, 0, 5
Let o(q) be the first derivative of -1/4*q**4 - 7/2*q**3 + 18 + 0*q**2 - 20*q. Let p(r) be the first derivative of o(r). Solve p(z) = 0.
-7, 0
Suppose -4*j = -0*t + 2*t - 30, t = j + 3. Let w be 6*(t/12 + 4/(-16)). Suppose 3 + 0*s**w - 8*s + 4 + 2*s**3 - 2*s**2 + 1 = 0. Calculate s.
-2, 1, 2
Let u be -15*5/(-50)*2/(-3). Let b be (882/5)/14 + (-8 - u). Factor b*v + 4/5*v**3 + 4*v**2 + 12/5.
4*(v + 1)**2*(v + 3)/5
Let w = 72 - 70. What is n in 68*n**2 + 39*n**5 + 85*n**2 - 4*n - 151*n**5 - 116*n**4 - 8 - 29*n**w + 116*n**3 = 0?
-1, -2/7, 1/4, 1
What is z in -456/7*z**2 + 10/7*z**5 - 132/7*z**4 + 0 + 506/7*z**3 + 72/7*z = 0?
0, 1/5, 1, 6
Let i(k) = 7*k**4 - 14*k**2 + 7*k + 5. Let d be (34/10 - 3)*-15. Let h(o) = 8*o**4 - 14*o**2 + 6*o + 6. Let n(z) = d*i(z) + 5*h(z). Factor n(b).
-2*b*(b - 2)*(b - 1)*(b + 3)
Factor 36 + 4/5*a**4 + 41/5*a**2 + 264/5*a - 39/5*a**3.
(a - 6)**2*(a + 1)*(4*a + 5)/5
Suppose -223*r + 219*r = -20. Factor -2*b**2 - r*b**2 - 17*b - 5*b**2 + 20*b**3 + 4*b**2 - 4*b**4 - 15*b.
-4*b*(b - 4)*(b - 2)*(b + 1)
Let d(u) = 4*u - 22. Let n be d(6). Factor 0*s + 9*s - 12 + 3*s**n + 0 - 18.
3*(s - 2)*(s + 5)
Suppose 0*f = -18*f + 54. Suppose 4*j - 12 = j. Factor -8*c**f - 10*c**3 + 0 + 4 - 17*c**2 + c**4 - 6*c**j.
-(c + 1)**2*(c + 2)*(5*c - 2)
Let q be 31/54 + 2/(-27). Let c(r) be the third derivative of -3/10*r**5 + 1/10*r**6 - 1/70*r**7 + q*r**4 - 1/2*r**3 - 13*r**2 + 0*r + 0. Factor c(i).
-3*(i - 1)**4
Let p(a) be the second derivative of 3*a**5/20 + 41*a**4/4 + 93*a**3 + 324*a**2 + 3872*a. Factor p(q).
3*(q + 2)*(q + 3)*(q + 36)
Let z(n) be the third derivative of -n**6/600 - 23*n**5/75 - 91*n**4/120 - 12*n**2 - 12. Factor z(m).
-m*(m + 1)*(m + 91)/5
Let z(v) = v**3 - 6*v**2 - 3*v - 59. Let f be z(8). Let l be (-20)/f*27/(-6). Factor h**l - 1/4*h - 1 + 1/4*h**3.
(h - 1)*(h + 1)*(h + 4)/4
Suppose 3*r = 5*g + 36, -8*r + 3*g + 16 = -9*r. Find l such that 1/2*l**3 - r + 3/2*l**2 + 0*l = 0.
-2, 1
Let d(g) be the first derivative of -g**4/10 - 52*g**3/15 + 84*g**2 - 2736*g/5 + 154. What is t in d(t) = 0?
-38, 6
Let f(g) = -2*g**3 - 117*g**2 - 166*g + 287. Let t be f(-57). Find x such that 0*x + t*x**3 + 4/3*x**4 + 0 + 2/3*x**2 = 0.
-1, -1/2, 0
Solve 15639*d**4 - 13*d**2 + 10*d**3 - 10*d**3 - 63*d**2 + 184*d - 15635*d**4 - 16*d**3 - 96 = 0 for d.
-4, 1, 6
Factor 1/3*l**2 + 155/3*l - 314/3.
(l - 2)*(l + 157)/3
Let g(c) be the second derivative of -c**5/60 - 5*c**4/12 + 4*c**3 + 36*c**2 + 7*c + 3. Let i(y) be the first derivative of g(y). Factor i(a).
-(a - 2)*(a + 12)
Let r(j) be the second derivative of j**7/14 + 63*j**6/10 + 2073*j**5/10 + 2930*j**4 + 13200*j**3