4*i/7 + 8. Determine x so that s(x) = 0.
-1, 2
Suppose 58*q - 168 = -55*q + 29*q. Suppose 0*x + 0*x**3 + 0 + 2*x**q - 3/2*x**4 - 1/2*x**5 = 0. Calculate x.
-2, 0, 1
Let k be ((-20)/3*-1 - 8)*-1. Find c such that k*c**2 - 2/3*c**4 - 1/3*c - 1/3*c**5 + 2/3*c**3 - 2/3 = 0.
-2, -1, 1
Let y(x) = -x**3 + 14*x**2 + 17*x - 5. Let c be y(15). Factor 10*w - 10 - 152*w**2 + 137*w**2 + c*w.
-5*(w - 2)*(3*w - 1)
Let k(g) be the second derivative of g**8/112 - g**7/35 + g**5/10 - g**4/8 - g**2 - 6*g. Let a(h) be the first derivative of k(h). What is l in a(l) = 0?
-1, 0, 1
What is z in z**4 + 0*z + 1/3*z**5 + 0 + 0*z**2 - 4/3*z**3 = 0?
-4, 0, 1
Let m be (186/(-180) + 1)*(-20)/8. Let h(s) be the second derivative of 0 + m*s**3 - 1/48*s**4 - 5*s + 0*s**2. Factor h(z).
-z*(z - 2)/4
Suppose 0 = -3*b - b - 4, 4*x - 60 = 4*b. Factor -5*s**3 + x*s**2 - 25*s + 10 + 12*s**2 + 3*s**2 - 9*s**2.
-5*(s - 2)*(s - 1)**2
Let b(s) be the second derivative of s**4/4 + 7*s**3 - 3*s - 2. Find l, given that b(l) = 0.
-14, 0
Let b(u) = -17*u**3 + 2*u**2 + 3*u. Let o(l) be the first derivative of -35*l**4/4 + 5*l**3/3 + 5*l**2/2 - 3. Let h(g) = -5*b(g) + 3*o(g). Factor h(q).
-5*q**2*(4*q - 1)
Suppose 50*g - 64 = 86. Let u(f) be the first derivative of 0*f**4 + 2/25*f**5 + 2/5*f - 4/15*f**g + 0*f**2 + 2. Suppose u(q) = 0. What is q?
-1, 1
Let u(f) be the second derivative of -13*f**7/840 - f**6/180 + 4*f**3/3 - 4*f. Let r(s) be the second derivative of u(s). Factor r(n).
-n**2*(13*n + 2)
Let u be (-1 - -4) + (-136)/48. Let a(i) be the first derivative of u*i**4 - 4 + 4/3*i - 1/3*i**2 - 4/9*i**3. Factor a(k).
2*(k - 2)*(k - 1)*(k + 1)/3
Let u(i) be the first derivative of 1/18*i**4 + 3*i**2 - 3*i - 3 - 2/3*i**3. Let q(o) be the first derivative of u(o). Factor q(z).
2*(z - 3)**2/3
Let q(n) be the second derivative of n**8/168 + n**7/21 + n**6/20 - 3*n**5/10 - n**2 + 4*n. Let h(v) be the first derivative of q(v). Let h(f) = 0. Calculate f.
-3, 0, 1
Let h = -22821 - -22824. Solve 0*s + 3/7*s**4 + 6/7*s**h + 3/7*s**2 + 0 = 0 for s.
-1, 0
Let t(o) be the third derivative of -o**8/1344 + o**7/84 - 17*o**6/480 + o**5/30 + 7*o**2 - 4. Find v such that t(v) = 0.
0, 1, 8
Let b(j) be the first derivative of -2*j**5/25 - 13*j**4/10 - 94*j**3/15 - 59*j**2/5 - 48*j/5 + 183. Solve b(m) = 0.
-8, -3, -1
Let j(l) be the first derivative of 3*l**4 + 25*l**3 + 57*l**2 + 24*l - 54. Determine k so that j(k) = 0.
-4, -2, -1/4
Suppose -23*g + 19*g = -48. Let t = g - 12. Let -4*f + 16*f**3 + 3*f**2 + 3*f**2 + t*f**2 - 18*f**3 = 0. What is f?
0, 1, 2
Let x(u) = 5*u**4 - 12*u**3 + 28*u**2 - 32*u + 12. Let w(v) = v**4 - v**3 + v**2 - 1. Suppose 8 = -5*l + 3. Let s(r) = l*x(r) + 4*w(r). Factor s(g).
-(g - 2)**4
Find d, given that d + 0*d**2 + 0 - 1/4*d**3 = 0.
-2, 0, 2
Let p = 5491/2 - 2857. Let i = p + 116. Let a + 0 - i*a**2 - 11/2*a**3 = 0. What is a?
-1, 0, 2/11
Let s = 45 - 41. Factor 3/7*w**2 + 0*w - 6/7*w**3 + 0 + 3/7*w**s.
3*w**2*(w - 1)**2/7
Let d(k) be the second derivative of 0 - 5*k - 1/3*k**3 + 1/12*k**4 + 1/2*k**2. Let d(x) = 0. What is x?
1
Let v(n) be the third derivative of -n**5/80 - 53*n**4/16 - 2809*n**3/8 - 17*n**2 - 3. Determine h so that v(h) = 0.
-53
Let y(t) be the second derivative of -t**7/630 - t**6/180 + t**5/15 - 2*t**4/3 - 8*t. Let n(k) be the third derivative of y(k). Factor n(x).
-4*(x - 1)*(x + 2)
Let l(h) be the third derivative of 7*h**6/60 - 37*h**5/30 - 8*h**4/3 + 4*h**3 + 206*h**2. Determine o, given that l(o) = 0.
-1, 2/7, 6
Let x be (-15)/(15795/(-36))*(-90)/(-20). Factor 0 + 0*s**2 - 2/13*s + 0*s**4 - x*s**5 + 4/13*s**3.
-2*s*(s - 1)**2*(s + 1)**2/13
Factor -5*q**4 + 24*q**3 + 15 + 2*q - 10*q**2 - 22*q**3 + 18*q**3 - 22*q.
-5*(q - 3)*(q - 1)**2*(q + 1)
Suppose 1/3*j**4 + 37/3*j**2 + 22/3*j**3 + 588 - 308*j = 0. Calculate j.
-14, 3
Let l(y) = y - 3. Let v be l(4). Suppose 6*f - 11 = v. Factor 5*c**f + 7*c**2 - 11*c**2.
c**2
Let o(u) be the third derivative of u**7/105 + 29*u**6/180 + 4*u**5/9 - u**2 + 9. Find r such that o(r) = 0.
-8, -5/3, 0
What is a in 380/7*a - 2/7*a**2 - 18050/7 = 0?
95
Factor 14/3 + 1/3*l**2 + 3*l.
(l + 2)*(l + 7)/3
Factor 59*q - 72*q**2 - 726*q**3 - 240 + 181*q + 729*q**3 + 12*q.
3*(q - 20)*(q - 2)**2
Let w(v) = -4*v - 3. Let r be w(-3). Factor 11*z**2 + 4*z - r*z**2 - 14*z.
2*z*(z - 5)
Let y(a) be the first derivative of -a**6/2 - 9*a**5/10 + 6*a**4 + 33*a**3/2 + 3*a**2 - 18*a + 488. What is b in y(b) = 0?
-2, -1, 1/2, 3
Let v be 20/15 - 8/(-12). Let h be 16/(-6) + (-57)/(-19). Factor -h - 2/3*k - 1/3*k**v.
-(k + 1)**2/3
Suppose -257*m**2 - 75 + 3*m**3 + 105*m + 176*m**2 + 48*m = 0. What is m?
1, 25
Let 684109 - 5*b**2 - 684109 - 665*b = 0. What is b?
-133, 0
Let o = 13854 + -13854. Let 1/9*q**2 + o + 4/9*q = 0. What is q?
-4, 0
Let o(u) be the first derivative of 3*u**2 - 1/180*u**5 + 0*u**3 - 2 + 1/24*u**4 + 0*u. Let g(n) be the second derivative of o(n). Factor g(m).
-m*(m - 3)/3
Let j(o) be the first derivative of o**5 - 15*o**4 + 20*o**3/3 + 480*o**2 + 1280*o + 95. Factor j(r).
5*(r - 8)**2*(r + 2)**2
Suppose 0 = s + 3*g - 12, 3*s - 16 = 2*g - 13. Let h(j) be the second derivative of 1/4*j**4 + 6*j + 24*j**2 + 0 - 4*j**s. Let h(m) = 0. What is m?
4
Let c(t) be the second derivative of -t**6/180 - t**5/15 - 11*t**4/36 - 2*t**3/3 - 10*t**2 + 13*t. Let k(z) be the first derivative of c(z). Factor k(i).
-2*(i + 1)*(i + 2)*(i + 3)/3
Let a(i) be the third derivative of -1/42*i**8 - 4/3*i**3 + 0*i + 1/6*i**6 - 2/35*i**7 + 24*i**2 + 1/3*i**5 - 1/2*i**4 + 0. Let a(f) = 0. Calculate f.
-2, -1, -1/2, 1
Let a = -22581 - -205067/9. Let w = a - 204. Factor 0 + 4/9*l - w*l**2.
-2*l*(l - 2)/9
Let o(f) be the second derivative of -f**7/21 - f**6/3 - 7*f**5/10 + f**4/6 + 8*f**3/3 + 4*f**2 - 4*f + 30. Solve o(t) = 0.
-2, -1, 1
Factor 1/2*t**2 - 2 - 3/2*t.
(t - 4)*(t + 1)/2
Let j be (-156)/130 - (0 - 48/15). Let 0*o + 2/3*o**5 - j*o**4 + 0 + 2*o**3 - 2/3*o**2 = 0. Calculate o.
0, 1
Let 8*p + 9/2*p**3 + 0 - 1/2*p**4 - 12*p**2 = 0. Calculate p.
0, 1, 4
Solve -2/7*h**3 - 14*h**2 - 1152/7 - 1248/7*h = 0.
-24, -1
Let -11*n**3 + 326 + 15*n**3 + 4*n**4 - 16*n - 294 - 24*n**2 = 0. What is n?
-2, 1, 2
Let b(z) = -z**2 - 705*z + 62628. Let n(g) = g**2 - g + 10. Let l(w) = 2*b(w) + 6*n(w). Factor l(t).
4*(t - 177)**2
What is i in -3/2*i**4 - 75*i - 21*i**3 + 51/2 + 72*i**2 = 0?
-17, 1
Let i(f) = -f**5 - 2*f**4 + f**2 + 2*f + 1. Let z(t) = -10*t**5 - 65*t**4 - 180*t**3 - 155*t**2 + 170*t + 245. Let l(y) = -5*i(y) + z(y). Factor l(c).
-5*(c - 1)*(c + 2)**3*(c + 6)
Let d(t) = -27*t - 1078. Let i be d(-40). Factor 2/5*m**i + 32/5 + 16/5*m.
2*(m + 4)**2/5
Let b be 2/(-9) - 256/(-18). Suppose -4 = 5*z - b. Determine d so that -1 + 1 + z*d**4 - d**3 + 7*d**3 - 8*d = 0.
-2, 0, 1
Factor -6/7*h - 1/7*h**2 + 16/7.
-(h - 2)*(h + 8)/7
Let m = 387 - 383. Let j(o) be the second derivative of -1/4*o**m - 4*o + 0 - 1/6*o**3 + 0*o**2. Factor j(g).
-g*(3*g + 1)
Let 740*c - 88 + 501*c**3 + 64*c**4 - 29*c**3 + 1041*c**2 - 2733*c**2 + 72*c**3 = 0. What is c?
-11, 1/4, 2
Let g(j) be the first derivative of -2*j**3/9 - j**2 + 192. Solve g(a) = 0.
-3, 0
Let -8*r**3 - 3*r**3 + 11 - 14 - 3*r**4 - 18*r**2 - 6*r**3 + 5*r**3 - 12*r = 0. What is r?
-1
Let s(d) be the first derivative of -4*d**3/15 - 84*d**2/5 + 172*d/5 - 228. Determine y so that s(y) = 0.
-43, 1
Let m(n) be the second derivative of -n**4/18 - 10*n**3/3 + 237*n. Factor m(f).
-2*f*(f + 30)/3
Let t(h) be the third derivative of 0*h**3 + 0*h**6 + 5/336*h**8 - 12*h**2 + 0*h + 0*h**5 + 0*h**4 + 0 + 1/14*h**7. Determine l, given that t(l) = 0.
-3, 0
Let m be (-1)/(-3) + 304/24. Let t = 15 - m. Let -19*k**2 + 4 + 5*k + 7*k**t - 13*k = 0. What is k?
-1, 1/3
Let b be -3 + (-39)/26*(-52)/6. Suppose 2*r**2 + 1337 + b*r - 1337 = 0. Calculate r.
-5, 0
Let p be 42/(-2)*(-2)/(-3). Let f be (-13 - -9)/(p/2). Factor -64/7 + 32/7*h - f*h**2.
-4*(h - 4)**2/7
Let z(b) be the third derivative of -b**6/840 - 11*b**5/210 - 52*b**2. Determine g, given that z(g) = 0.
-22, 0
Let l(q) be the first derivative of 2/39*q**3 - 1/13*q**2 + 4 - 4/13*q. Factor l(z).
2*(z - 2)*(z + 1)/13
Determine l, given that -2*l**3 - 1350*l + 90*l**2 + 6750 + 31*l**2 - 31*l**2 = 0.
15
Suppose -6 = -4*w - 2*a + a, 0 = w - 3*a - 8. Factor 17 + 12*p + 26*p**w - 24*p**2 + 1.
2*(p 