z**4/21 + 4*z**3/7 + 210*z**2. Solve p(a) = 0 for a.
-3, -1, 1, 2
Factor 5/3*x**2 - 16 - 1/3*x**3 + 8/3*x.
-(x - 4)**2*(x + 3)/3
Let x(v) = -2*v**4 + v**2 + v - 1. Let h(o) = -5*o**5 - 22*o**4 - 48*o**3 - 19*o**2 + 13*o + 3. Let u(q) = 4*h(q) + 12*x(q). Suppose u(y) = 0. Calculate y.
-2, 0, 2/5
Let a = -60 - -62. Let t be (0 - 12/(-15))/((-69)/(-230)). Suppose -2/3*n**a + t - 84*n**3 + 16*n = 0. Calculate n.
-2/7, -2/9, 1/2
Determine w so that 32/15*w**5 + 74/3*w**3 + 62/15*w**2 - 38/5*w + 208/15*w**4 + 6/5 = 0.
-3, -1, 1/4
Factor 306*q**4 - 310*q**4 + 2*q**2 - 7*q**2 + q**2 - 8*q**3.
-4*q**2*(q + 1)**2
Let m = 2398 + -2395. Let t(s) be the first derivative of -125*s - 25*s**2 - 5/3*s**m - 10. Factor t(b).
-5*(b + 5)**2
Let k(i) be the second derivative of -i**4/60 + 3*i**3/10 - 52*i. Find h, given that k(h) = 0.
0, 9
Determine u so that -14*u + 172*u**3 + 163*u**3 - 51*u**2 + 171*u**3 - 509*u**3 - 45 - 79*u = 0.
-15, -1
Let o(a) = 16*a**2 + 25*a + 41. Let s = 32 + -26. Let g(m) = -3*m**2 - 5*m - 8. Let c(k) = s*o(k) + 33*g(k). Factor c(v).
-3*(v + 2)*(v + 3)
Let q(j) be the second derivative of 16*j + 0 - 9/14*j**2 + 3/140*j**5 - 1/14*j**3 + 3/28*j**4. Factor q(k).
3*(k - 1)*(k + 1)*(k + 3)/7
Let h(x) = x**5 - x**4 + 10*x**3 + 29*x**2 - 36*x - 5. Let p(v) = v**5 + 11*v**3 + 30*v**2 - 36*v - 6. Let y(g) = 6*h(g) - 5*p(g). Factor y(f).
f*(f - 3)**2*(f - 2)*(f + 2)
Factor -27*d**3 + 73 - 13 - 6*d - 30*d + 30*d**3 - 27*d**2.
3*(d - 10)*(d - 1)*(d + 2)
Suppose 4*n = k + n - 8, 0 = k + n - 20. What is m in -m**4 - k*m**3 - 13*m**3 + 3*m**4 + 2*m + 28*m**3 - 2*m**2 = 0?
-1, 0, 1
Suppose 0 = 3*s + 12, -2*s - 4 = 4*r + s. Suppose 0 = 5*l - 4*q + 3 - 26, -r*l + q = -8. Factor 13*h**2 + 3*h**2 - 16*h - 16*h**l + 20*h**4 + 68*h**3.
4*h*(h + 1)*(h + 2)*(5*h - 2)
Let o(d) = -d**5 + d**4 + d**3 - 2*d**2 - 1. Let q(c) = 6*c**5 - 20*c**4 + 20*c**3 + 12*c**2 - 26*c + 16. Let k(w) = 4*o(w) + q(w). Factor k(y).
2*(y - 6)*(y - 1)**3*(y + 1)
Factor 26/9*z - 32/9*z**2 + 2/3.
-2*(z - 1)*(16*z + 3)/9
Let z be ((-16)/(-28))/(76/(-28) + 3). Solve 1/4*x**z - 3/4*x**3 + 0 + 0*x = 0 for x.
0, 1/3
Let b(p) = 40*p**2 - 7*p - 8. Let x(o) = 13*o**2 - o - 1. Let f(j) = -5*b(j) + 15*x(j). Solve f(z) = 0 for z.
-1, 5
Let w be 15/(-18) - 4/24. Let h be w*(3 + ((-21)/6)/1). Determine z, given that h*z**2 - 1/2*z + 0 = 0.
0, 1
Let b be ((-28)/742)/((7 + -1)/2). Let o = 422/159 - b. Factor 1/3 + o*f**3 + 20/3*f**2 + 17/6*f.
(f + 2)*(4*f + 1)**2/6
Suppose 11*w - 24 - 3*w**3 - 11*w + 4*w**3 + 2*w - 15*w**2 + 36*w = 0. Calculate w.
1, 2, 12
Let i(o) be the second derivative of -1/12*o**4 - 2*o + 2*o**2 + 1/2*o**3 + 0. Let w(j) = -j**2 + 3*j + 3. Let v(s) = 5*i(s) - 6*w(s). What is z in v(z) = 0?
1, 2
Let l(h) be the second derivative of -3/4*h**2 - 1/80*h**5 - 1/24*h**3 + 0 + 20*h + 1/12*h**4. Factor l(s).
-(s - 3)*(s - 2)*(s + 1)/4
Let b be (-75)/6*-6*5/150. What is c in -b*c**2 - 1/2*c**3 - 2 - 4*c = 0?
-2, -1
Let t(v) = -4*v + 15. Let l be t(3). Let i be 1*-3 + -3 + 20/l. Factor 4/3*c**2 - i*c - 4/3 + 2/3*c**3.
2*(c - 1)*(c + 1)*(c + 2)/3
Let a(x) be the third derivative of 0 + 0*x**3 + 12*x**2 + 1/30*x**4 + 0*x + 1/150*x**5. Factor a(w).
2*w*(w + 2)/5
Suppose 2*p - 3 = p. Suppose 0 = -p*v + 2*z + 9, -v + 5*z + 16 = -0*z. Let 0*f**2 - v + 0*f**2 + 3*f - 3*f**2 + 33*f**3 - 32*f**3 = 0. Calculate f.
1
Suppose -4*l = x + x - 12, 0 = 4*l + x - 12. Suppose -3*w + 0 = -l. Let c(n) = -n - 1. Let r(k) = -k**2 - 4*k - 3. Let f(o) = w*r(o) - 4*c(o). Factor f(z).
-(z - 1)*(z + 1)
Determine m so that 2500/7 + 104/7*m**2 + 1450/7*m + 2/7*m**3 = 0.
-25, -2
Factor 14/9*t**5 + 76/9*t**4 + 40/3*t**3 + 16/9*t**2 - 64/9*t + 0.
2*t*(t + 2)**3*(7*t - 4)/9
Let k(l) be the second derivative of -1/90*l**6 + 4/3*l**3 - 12*l + 0 + 6*l**2 - 5/36*l**4 - 1/10*l**5. Factor k(f).
-(f - 2)*(f + 2)*(f + 3)**2/3
Let v be 5/(-2 + -8) + 2/3. Let j(s) be the second derivative of s + 0*s**2 + 0 + 1/24*s**4 + v*s**3 - 3/40*s**5. Find z, given that j(z) = 0.
-2/3, 0, 1
Suppose 33*m + 126 = 291. Let o(w) be the third derivative of -1/80*w**6 + 1/30*w**m - 1/6*w**3 + 0 - 7*w**2 + 1/48*w**4 + 0*w. Suppose o(x) = 0. What is x?
-2/3, 1
Let r = -4 - -48. Let b = r + -42. Factor 2/3*j**3 + 2*j - 2*j**b - 2/3.
2*(j - 1)**3/3
Let d be -3 - 0 - (-27)/(243/36). Factor 1/4*t**3 - d + 3/4*t**2 + 0*t.
(t - 1)*(t + 2)**2/4
Let a(q) = 5*q**2 + 77*q + 296. Let f be a(-7). Factor -2/9*k**f + 4/9 + 2/9*k.
-2*(k - 2)*(k + 1)/9
Suppose -9*z = o - 5*z - 19, 2*z = 3*o + 13. Let t be (o/4)/((-18)/16). Let t*u**3 - 50/9*u**5 - 10*u**4 + 16/3*u + 8/9 + 82/9*u**2 = 0. Calculate u.
-1, -2/5, 1
Let i(s) be the first derivative of s**3/8 - 93*s**2/4 - 414. Factor i(n).
3*n*(n - 124)/8
Let o = -36 + 39. Factor 4*r + 8*r - 5*r**o + 9*r - 16*r - 5*r**2 + 5*r**4.
5*r*(r - 1)**2*(r + 1)
Let l(h) be the first derivative of -39 + 0*h - 10/7*h**2 + 2/21*h**3. Determine d so that l(d) = 0.
0, 10
Factor -12*k**2 - 24*k**2 + 36125 - 6*k**2 + 850*k + 47*k**2.
5*(k + 85)**2
Let j(h) be the first derivative of h**3/21 - 19*h**2/7 + 361*h/7 + 119. Factor j(l).
(l - 19)**2/7
Let m be (-2)/12 - -3*(-19)/(-342). Solve 1/4*o**3 + 0 - 1/4*o**2 + m*o = 0 for o.
0, 1
Let i(k) be the first derivative of 2*k**2 + 5/9*k**4 - 3 + 14*k + 19/9*k**3. Let n(t) be the first derivative of i(t). Determine w, given that n(w) = 0.
-3/2, -2/5
Let v be -3 + (-14)/(-4) + (-861)/378 - -2. Find f such that 4/9 - v*f**2 - 2/9*f = 0.
-2, 1
Let h = -74 - -83. Find g such that 22 + 21*g**2 - h + 15 + 14 - 153*g = 0.
2/7, 7
Let l(o) = 4*o**4 + 5*o**3 + 8*o**2 + 3*o. Let d(a) = -a**4 - a**3 - a**2 - a. Let y(f) = -20*d(f) - 4*l(f). Suppose y(j) = 0. What is j?
-2, 0, 1
Let v(f) = -7*f - 222. Let l be v(-32). Let z(o) be the first derivative of 1/9*o**3 + 0*o**l + 0*o - 5. Let z(x) = 0. What is x?
0
Let h(t) be the second derivative of 0 - 1/105*t**6 + 1/21*t**4 + 1/70*t**5 + 0*t**3 + 9*t + 0*t**2. Determine i, given that h(i) = 0.
-1, 0, 2
Let s(c) be the second derivative of 1/10*c**3 + 0*c**6 - 1/25*c**5 + 1/210*c**7 - 1/30*c**4 + 0 + 52*c + 1/5*c**2. Let s(u) = 0. Calculate u.
-1, 1, 2
Let b(p) be the first derivative of 3/20*p**5 + 0*p**3 + 0*p + 0*p**4 + 2 + 0*p**2 - 1/16*p**6. Solve b(a) = 0.
0, 2
Suppose 0 = -39*m + 165 - 48. Let i(u) be the third derivative of 0 - 1/6*u**4 + 0*u**3 + m*u**2 + 1/15*u**5 + 0*u. Suppose i(x) = 0. What is x?
0, 1
Let z = 25 - 22. Factor -12*k - 39*k**z + 21*k**3 - 8 + 22*k**3.
4*(k - 2)*(k + 1)**2
Let n = 104 + -102. Find x, given that -4*x + 289 - 2*x**n - 289 = 0.
-2, 0
Let j(o) be the third derivative of 0 - o**2 + 0*o**4 + 0*o**3 + 0*o + 1/105*o**7 + 1/20*o**6 + 1/15*o**5. Let j(c) = 0. Calculate c.
-2, -1, 0
Let h be (1080/48)/45 + (0 - 0). Suppose 0 - 1/2*i**2 - h*i - 1/8*i**3 = 0. Calculate i.
-2, 0
Let j(d) be the first derivative of d**4/7 + 4*d**3/3 - 80*d**2/7 + 176*d/7 - 311. Suppose j(y) = 0. What is y?
-11, 2
Suppose 0 = -5*h + 2*k + 51, -5*h + k + 54 = -2*k. Suppose 2*o = -3*m + 4, 0 = 3*m - 6*o + 3*o - 24. Factor 6*u + 0*u**2 + 2*u**3 - u**2 + u + u**m - h*u.
u*(u - 1)*(u + 1)*(u + 2)
Let y(a) be the second derivative of 17*a - 5/3*a**3 - 3*a**2 + 0 + 1/15*a**6 - 1/21*a**7 + 3/5*a**5 + 1/3*a**4. Factor y(d).
-2*(d - 3)*(d - 1)*(d + 1)**3
Let g(f) be the first derivative of 25/8*f**4 - 51 + 0*f**2 + 0*f**3 + 0*f - f**5 + 1/12*f**6. Find i, given that g(i) = 0.
0, 5
Determine g, given that -122*g + 126 - 11*g**2 + 3*g**2 + 5*g**2 - 3*g**2 + g**3 + g**3 = 0.
-7, 1, 9
Suppose 2*o + o = 5*f + 16, -3*o = -f - 8. Solve o*w**2 - 58 - 16*w + 2*w**2 + 38 = 0 for w.
-1, 5
Let f(g) be the first derivative of -g**3/9 + 5*g**2/2 + 34*g/3 + 97. Solve f(i) = 0 for i.
-2, 17
Let d(m) be the third derivative of -1/735*m**7 + 0*m + 0 + 1/420*m**6 + 0*m**3 + 1/105*m**5 - 3*m**2 + 0*m**4. Determine j, given that d(j) = 0.
-1, 0, 2
Suppose 4*c + c - 49 = -2*p, 27 = 3*c + 2*p. Let r(o) = -8*o**2 + 14*o - 18. Let i(b) = -3*b**2 + 5*b - 6. Let v(m) = c*i(m) - 4*r(m). Let v(t) = 0. What is t?
-3, 2
Factor 0*g**2 - 4*g**3 - 11*g**2 - 12*g**2 + 19*g + 7*g**2 - 3*g + 4*g**4.
4*g*(g - 2)*(g - 1)*(g + 2)
Let q be 2/14 + (-421)/7. Let h = q - -60. Factor 0 - 2/5*x**2 - 1/5*x**4 + h*x - 3/5*x**3.
-x**2*(x + 1)*(x + 2)/5
Let d(j) be the second derivative of 3*j**6/5 - 39*