15/(-30) - g/4. Factor -2*c + 3*c - 16*c + 5*c**3 - y.
5*(c - 2)*(c + 1)**2
Solve -43/5*n**3 + 0*n + 44/5*n**2 - 1/5*n**4 + 0 = 0.
-44, 0, 1
Let p = -635353/3 - -211786. Let 2/3*q**2 + 0 - p*q = 0. What is q?
0, 5/2
Let o(t) be the first derivative of -4*t**3/15 - 132*t**2/5 + 268*t/5 - 361. Determine w, given that o(w) = 0.
-67, 1
Let g(a) = 2*a**2 - 88*a - 84. Let q be g(45). Let p(f) be the second derivative of 2/15*f**q - 2*f**2 + 0*f**4 - 16*f + 0 + 4/3*f**3 - 2/5*f**5. Factor p(h).
4*(h - 1)**3*(h + 1)
Factor -5/2*d**3 + 5/2*d**2 - 225/2 + 105/2*d.
-5*(d - 3)**2*(d + 5)/2
Let x(t) be the third derivative of -2*t**7/105 + 13*t**6/120 + 59*t**5/20 + 93*t**4/8 - 27*t**3/2 + 26*t**2 + 31*t. Factor x(h).
-(h - 9)*(h + 3)**2*(4*h - 1)
Let q(c) be the first derivative of -111*c**5/5 + 3*c**4/4 + 111*c**3 + 213*c**2/2 - 6*c + 7434. Determine i so that q(i) = 0.
-1, 1/37, 2
Let m(a) be the first derivative of 4*a**3/15 + 1404*a**2/5 - 2812*a/5 + 7291. Factor m(r).
4*(r - 1)*(r + 703)/5
Let a(x) be the second derivative of -5/3*x**3 + 0 + 0*x**2 - 1/90*x**5 - 1/540*x**6 + 24*x - 1/36*x**4. Let c(b) be the second derivative of a(b). Factor c(d).
-2*(d + 1)**2/3
Let h(v) = v**3 - 16*v**2 - 16*v - 14. Let t be h(17). Solve 3*r**t - 16*r**4 + 5*r**2 + 15*r + 18*r**4 - 21*r**2 - 3 - 1 = 0.
-4, 1/2, 1
Let l(j) be the first derivative of j**6/540 + 17*j**5/90 + 289*j**4/36 + j**3/3 + 32*j + 61. Let n(v) be the third derivative of l(v). Solve n(c) = 0 for c.
-17
Let k = 1252/183 + -764/183. Factor 3*q - k - 1/3*q**2.
-(q - 8)*(q - 1)/3
Factor -326/3*x + 329 - 1/3*x**2.
-(x - 3)*(x + 329)/3
Solve 0 - 2/11*a**4 + 0*a + 40/11*a**3 - 150/11*a**2 = 0.
0, 5, 15
Let s(j) be the third derivative of j**5/180 - 125*j**4/36 + 1225*j**3/18 - 140*j**2 + 2*j. Suppose s(o) = 0. Calculate o.
5, 245
Factor -3/2*q**4 - 378*q**2 - 51*q**3 + 972*q + 0.
-3*q*(q - 2)*(q + 18)**2/2
Let u be 2 + ((-39)/6)/((-1)/2). Let f = 17 - u. Let 208*y**f - 208*y**2 - 5*y**3 = 0. Calculate y.
0
Let n(c) be the third derivative of -c**5/20 + 8*c**4 + 10*c**2 + 136. Factor n(o).
-3*o*(o - 64)
Let j = 125455 + -125449. Factor -j - 6075/2*d**2 - 270*d.
-3*(45*d + 2)**2/2
Let f = -1211894 - -7271365/6. Factor 0 - f*l**2 - 13/6*l.
-l*(l + 13)/6
Factor -1/6*c**3 + 4 - 1/2*c**2 + 5/3*c.
-(c - 3)*(c + 2)*(c + 4)/6
Let z(a) be the second derivative of 209/12*a**4 - 1/42*a**7 + 50*a**2 + 190*a + 0 + 1/2*a**6 - 83/20*a**5 - 40*a**3. Factor z(n).
-(n - 5)**2*(n - 2)**2*(n - 1)
Let i(z) = 11*z + 4. Let a be i(-1). Let p be 6/84*-4*a. Factor -3/5*v**3 + 0 + 1/5*v**5 - v**p + 1/5*v**4 - 2/5*v.
v*(v - 2)*(v + 1)**3/5
Let g(v) be the first derivative of 5*v**6/6 - 3*v**5/2 - 11*v**4/12 + 2*v**3 + 2*v**2 - 33*v + 156. Let n(l) be the first derivative of g(l). Factor n(z).
(z - 1)**2*(5*z + 2)**2
Let c = -148/21 - -50/7. Let d be (11284/392 + -29)/(2 - (-11)/(-4)). Suppose 2/21*j**4 + 4/21 + c*j**3 - d*j**2 - 2/21*j = 0. What is j?
-2, -1, 1
Let u(s) = 19*s**3 + 139*s**2 - 6017*s - 108427. Let a(m) = -10*m**3 - 70*m**2 + 3010*m + 54214. Let x(w) = -11*a(w) - 6*u(w). Factor x(c).
-4*(c - 28)*(c + 22)**2
Let s be (-1033 - -1045) + (-204)/22 + -2. Factor 0 + s*b**4 + 12/11*b**3 + 2/11*b**5 + 8/11*b**2 + 2/11*b.
2*b*(b + 1)**4/11
Suppose 0 = 4*l + 3*i - 150 - 21, 4*l + i = 161. Suppose -4*w = -w - l. Factor 5*d**4 + 18*d + 42*d + 7 + 65*d**2 + 30*d**3 + w.
5*(d + 1)**2*(d + 2)**2
Let n be (-38)/475 - 51/(-450). Let o(t) be the third derivative of 0*t**4 + 0*t**3 + 0 - 15*t**2 + 0*t + 3/40*t**6 - 1/30*t**5 - n*t**7. Solve o(v) = 0.
0, 2/7, 1
Let p(v) be the second derivative of -v**7/210 - v**6/30 - v**5/20 + 197*v**2/2 - 10*v - 1. Let n(u) be the first derivative of p(u). Factor n(j).
-j**2*(j + 1)*(j + 3)
Let w(g) = g**3 - 496*g**2 + 62499*g + 63051. Let f(i) = i**2 + 10. Let l(h) = -15*f(h) + 3*w(h). Factor l(c).
3*(c - 251)**2*(c + 1)
Let o be 3/((0 - -6)/6). Factor -1044*j - 349*j**3 + 84*j**4 - 208*j**2 + 1400*j**2 - 4*j**5 + 324 - 203*j**o.
-4*(j - 9)**2*(j - 1)**3
Let h be 6 + -6 + -5 + -23. Let s be 16/h - 605/(-140). Solve 5/4*n - 5*n**3 + 0 - 5/2*n**4 + 5/2*n**2 + s*n**5 = 0 for n.
-1, -1/3, 0, 1
Let f = 90 + -85. Suppose 4*p - 134 = -2*k, 6*p + 296 = f*k + 3*p. Factor b**4 + 4 + 3*b**3 - k*b + 6*b**2 - 3*b**4 + 51*b - b**3.
-2*(b - 1)**3*(b + 2)
Let z(m) be the third derivative of -441/2*m**3 + 1 - 21/4*m**4 + 0*m + 74*m**2 - 1/20*m**5. Find y, given that z(y) = 0.
-21
Let q(w) = -2*w**5 + 53*w**4 + 1568*w**3 - 43892*w**2 - 3. Let v(f) = 4*f**5 - 105*f**4 - 3136*f**3 + 87780*f**2 + 7. Let u(y) = -7*q(y) - 3*v(y). Factor u(d).
2*d**2*(d - 28)**2*(d + 28)
Let y = 2879/9168 + -56/191. Let m(l) be the second derivative of y*l**4 + 0*l**2 + 1/80*l**5 - 1/120*l**6 - 1/168*l**7 + 0*l**3 + 0 - 21*l. Factor m(t).
-t**2*(t - 1)*(t + 1)**2/4
What is j in -864/7 + 4/7*j**4 - 100/7*j**3 - 240/7*j + 520/7*j**2 = 0?
-1, 2, 6, 18
What is x in 33*x**3 - 36*x**4 + 51*x**2 + 108*x + 24 + 26*x**2 + 162*x**2 - 101*x**2 - 15*x**5 = 0?
-2, -1, -2/5, 2
Let s(v) be the third derivative of -31/12*v**4 + 961/3*v**3 + 0 + 1/120*v**5 - 4*v**2 + 32*v. Determine p so that s(p) = 0.
62
Let t = -1971 + 6272/3. Let a = t - 119. Find d, given that -a*d + 0 + 4/3*d**2 - 4/3*d**4 + 2/3*d**3 = 0.
-1, 0, 1/2, 1
Suppose 0 = 5*p - 1451*i + 1454*i - 28, 0 = -4*p - 2*i + 20. Factor 2/7*b**2 - 36/7 - p*b.
2*(b - 9)*(b + 2)/7
Let m(t) be the third derivative of -t**5/240 - 11*t**4/32 + 17*t**3/12 + t**2 - 94*t. Determine k so that m(k) = 0.
-34, 1
Factor -11/6*d**3 + 1/2*d**4 + 1/2*d + 5/6*d**2 + 0.
d*(d - 3)*(d - 1)*(3*d + 1)/6
Let -5/4*y**5 + 645/4*y - 7/2*y**2 - 76*y**3 - 117/2 - 22*y**4 = 0. Calculate y.
-13, -3, 2/5, 1
Let b(z) = z**2 - 9. Let n be b(-3). Let l = 121 + -117. Solve n*d**2 + 0*d**2 - 3*d**l - 3*d**2 + 21*d**3 - 27*d**3 = 0.
-1, 0
Let s(k) be the first derivative of 52 + 8/3*k - 1/9*k**3 + 1/3*k**2. Factor s(q).
-(q - 4)*(q + 2)/3
Factor -8/9*g**2 - 2/9*g**3 + 8/9 + 2/9*g.
-2*(g - 1)*(g + 1)*(g + 4)/9
Let f be 5/((-20)/12) - (-31 - -25). Let b(g) be the first derivative of -3 + 0*g - 3*g**4 + 4/5*g**5 - 2*g**2 + 4*g**f. Suppose b(d) = 0. What is d?
0, 1
Suppose 179*p + 48 = 191*p. Suppose l = -l + 6. Let 195 + 3*x**5 - 195 - l*x**p - 3*x**3 + 3*x**2 = 0. What is x?
-1, 0, 1
Let z(g) = -26*g**4 + 3*g**4 + 7 + 8*g**4 - 25*g**3 - 88*g**2. Let c(x) = 2*x**4 + x**3 + x**2 - 1. Let k(w) = -21*c(w) - 3*z(w). Let k(b) = 0. What is b?
-9, 0
Let r(f) be the second derivative of -f**6/60 - 153*f**5/20 - 2601*f**4/2 - 88434*f**3 + 151*f. Let r(o) = 0. What is o?
-102, 0
Suppose 42*q - 52 = 7508. Let b be -1 - 1 - (-400)/q. Solve b*y**3 + 0 - 2/3*y**2 + 4/9*y = 0 for y.
0, 1, 2
Let k = -1124654/1791849 - 44/4297. Let h = 4/139 - k. Factor -26/3*f**2 + h*f**3 - 24 + 32*f.
2*(f - 6)**2*(f - 1)/3
Let c(w) = w**3 + w - 1. Let h be (-4)/(-8)*1*2. Let p(u) = -4*u**4 + 8*u**3 + 4*u - 4. Let x(y) = h*p(y) - 4*c(y). Solve x(l) = 0 for l.
0, 1
Let j be 66*5/30 + -9. Factor -1/5*z**j + 7/5 + 6/5*z.
-(z - 7)*(z + 1)/5
Let s(k) be the first derivative of -1/5*k**5 + 0*k + 1/2*k**4 + 1/3*k**3 - k**2 + 94. Factor s(m).
-m*(m - 2)*(m - 1)*(m + 1)
Let d(m) be the third derivative of 2/35*m**7 - 2/15*m**5 + 2/3*m**4 - 2/3*m**3 - 99*m**2 - 2/15*m**6 + 0*m + 0. Factor d(k).
4*(k - 1)**2*(k + 1)*(3*k - 1)
Let n(f) be the first derivative of 6/5*f**2 + 2/3*f**3 + 2/5*f + 22. Factor n(y).
2*(y + 1)*(5*y + 1)/5
Suppose m = -2, -o - 8*m + 10*m = -6. Determine t, given that o*t**2 - 24 - 6*t + 24 - 8*t - 8*t = 0.
0, 11
Let g be ((-81)/(-30) - 9/45)*6. Determine q, given that 55*q**2 + 15*q - 3*q**4 - g*q**3 - 2*q**4 + 11500 - 11550 = 0.
-5, -1, 1, 2
Let m be 37/57 - (-2394)/(-7581). Determine p so that -m*p**2 - 147 + 14*p = 0.
21
Factor 0 + 655*u - 1/3*u**2.
-u*(u - 1965)/3
Let g be 6/10 + 123*(-14)/(-105). Let l be 3/(-5)*((g - 12) + -10). Let -6*u**2 + 3/2*u**l + 15/2*u - 3 = 0. Calculate u.
1, 2
Factor 0*b + 13/4*b**3 + 5/12*b**5 - 3/4*b**2 + 0 + 29/12*b**4.
b**2*(b + 3)**2*(5*b - 1)/12
Let s(i) be the first derivative of -2*i**6/3 - 52*i**5/5 - 58*i**4 - 352*i**3/3 + 64*i**2 + 512*i + 993. Factor s(v).
-4*(v - 1)*(v + 2)*(v + 4)**3
Let j(v) = -2*v**2 - 10*v + 14. Let z be j(-7). Let b = z + 18. Factor 2*o**2 + 3*o + b*o + 3*o**2 + o**3 + 3 + 0*o.
(o + 1)**2