/9 + 20/3*h**a.
-2*(h - 1)**3*(h + 11)/9
Factor 1384 + 27*l**2 - 1359 - 28*l**2.
-(l - 5)*(l + 5)
Let d be (-11687)/(-10556) - 2/8. Find u, given that 8/7 + 1/7*u**2 - d*u = 0.
2, 4
Let q be (-3)/8*72/(-810). Let l(i) be the third derivative of 0*i - 1/3*i**3 - 1/6*i**4 + 0 - 4*i**2 - q*i**5. Factor l(c).
-2*(c + 1)**2
Let j = 42 - 40. What is x in -x**4 + 14*x + 0*x**j + 3*x**2 - 22*x + 3*x**2 + 3 = 0?
-3, 1
Let -8*r + 4/9*r**3 + 0 - 28/9*r**2 = 0. Calculate r.
-2, 0, 9
Let w be (2/1)/((-8)/572). Let o be w/(-14) + (-22)/847*-11. Find r such that -o*r**3 + 6 + 6*r + 15/2*r**4 - 27/2*r**2 + 9/2*r**5 = 0.
-2, -1, -2/3, 1
Let n(t) be the second derivative of t**8/336 + 17*t**7/168 + 7*t**6/8 - 27*t**5/8 + 2*t**3/3 - 13*t. Let u(x) be the second derivative of n(x). Factor u(b).
5*b*(b - 1)*(b + 9)**2
Factor 4048/9*k - 3872/9 + 2/9*k**3 - 178/9*k**2.
2*(k - 44)**2*(k - 1)/9
What is j in 19/4 - 9/2*j - 1/4*j**2 = 0?
-19, 1
Let s(f) be the second derivative of f**5/25 - f**4/30 - f**3/15 + f + 12. Let s(v) = 0. What is v?
-1/2, 0, 1
Let j(h) = -h**3 - h**2 - h - 1. Let r(g) = -3*g**4 - 21*g**3 - 12*g**2 + 9*g - 9. Let k(m) = 9*j(m) - r(m). Factor k(y).
3*y*(y - 1)*(y + 2)*(y + 3)
Suppose -4323/2*d**2 - 3/2*d**4 - 1944 + 3996*d + 111*d**3 = 0. Calculate d.
1, 36
Let a = 68200/179 - 381. Let p = a - -532/895. Solve 3/5*k**2 - 3/5 + 3/5*k - p*k**3 = 0.
-1, 1
Let z(k) be the first derivative of -k**4/4 + 8*k**3/21 - k**2/14 - 1024. Factor z(d).
-d*(d - 1)*(7*d - 1)/7
Suppose -8 = -6*k + k - 2*t, -11*k + t = -23. Let f(j) = j**2 - 6*j + 3. Let z be f(6). Factor 1/2*s**z - 1/2*s - 1 + s**k.
(s - 1)*(s + 1)*(s + 2)/2
Factor -85184/3 - 44*g**2 + 1/3*g**3 + 1936*g.
(g - 44)**3/3
Let p = 54 + -49. Let l be (-4)/(-10) - ((-103)/(-20) - p). Solve -l*m**4 + 1/4 + 1/2*m**3 - 1/2*m + 0*m**2 = 0 for m.
-1, 1
Factor 0 - 4/9*w**5 - 20/3*w**3 + 0*w - 4*w**2 - 28/9*w**4.
-4*w**2*(w + 1)*(w + 3)**2/9
Suppose 5*p = 4*h + 5, 3*p = -4*h + 86 - 51. Find q such that 0 + 2/3*q**3 + 2/9*q**h - 8/9*q**2 + 8/9*q**4 - 8/9*q = 0.
-2, -1, 0, 1
Let x = 21 - 8. Factor -x*u**3 + 5*u**5 - 3*u**5 + 4*u**2 + 5*u**3 + 6*u**3 - 4*u**4.
2*u**2*(u - 2)*(u - 1)*(u + 1)
Let c = 6 - 4. Suppose 4 = o + o. Factor 2*w**c + w**5 + o*w**4 + w**3 + 0*w**5 - 2*w**2.
w**3*(w + 1)**2
Let r be (1 - -1)/(72/(-9) + 43). Let n(b) be the first derivative of 0*b - 1/14*b**4 - r*b**5 + 0*b**3 + 0*b**2 - 4. Determine m so that n(m) = 0.
-1, 0
Let x be (-18)/(-10) - ((-774)/(-30) + -26). What is t in 9 + 3*t + 1/4*t**x = 0?
-6
Determine o, given that -625/3 + 1/3*o**3 + 575/3*o + 49/3*o**2 = 0.
-25, 1
Let z = -36 - -47. Factor 6*t**3 + 4*t**2 + 10 + 16*t**2 - 25*t - z*t**3.
-5*(t - 2)*(t - 1)**2
Let p(q) = -13*q**2 + 214*q + 56. Let k(j) = j**2 - j - 2. Let d(v) = -k(v) - p(v). Solve d(y) = 0 for y.
-1/4, 18
Let s(c) be the third derivative of 9*c**8/280 - 9*c**7/25 - 3*c**6/50 + 67*c**5/75 - 19*c**4/20 + 7*c**3/15 + 214*c**2. Let s(a) = 0. Calculate a.
-1, 1/3, 7
Let j(s) = 45*s**4 - 150*s**3 + 144*s**2 - 36*s + 4. Let k(w) = -w**2 - w - 1. Let b(m) = j(m) + 4*k(m). Factor b(f).
5*f*(f - 2)*(3*f - 2)**2
Let y(h) be the first derivative of 1/24*h**4 - 2*h + 1/18*h**3 + 26 - 2/3*h**2. Factor y(v).
(v - 3)*(v + 2)**2/6
Suppose -1123 = -20*h - 6*h + 1425. Solve -h*m**4 + 452/3*m**2 - 322/3*m**3 - 152/3*m + 16/3 = 0 for m.
-2, 2/7, 1/3
Let p = 23 + -23. Let d = -78 + 80. Factor -1/5 + p*o + 1/5*o**d.
(o - 1)*(o + 1)/5
Factor -80 - 251*x**4 + 129*x**4 + 127*x**4 - 80*x + 20*x**3.
5*(x - 2)*(x + 2)**3
Suppose 0 = 2*b + 7*b - 36. Suppose -5*u = -5*c + 30, 1 = -3*c - b*u - 2. Factor 4/5*g**2 - g - 1/5*g**c + 2/5.
-(g - 2)*(g - 1)**2/5
Let m(z) = -23*z**3 - 70*z**2 + 74*z - 7. Let p(f) = -12*f**3 - 35*f**2 + 36*f - 3. Let a(c) = -3*m(c) + 7*p(c). Factor a(j).
-5*j*(j + 3)*(3*j - 2)
Let c(q) be the third derivative of -q**7/504 - q**6/144 - 7*q**4/24 - 10*q**2. Let m(d) be the second derivative of c(d). Factor m(w).
-5*w*(w + 1)
Let -5*o**5 + 35*o**3 + 30*o - 65*o**2 + 5819 + 5*o**4 - 5819 = 0. Calculate o.
-3, 0, 1, 2
Let i(j) be the second derivative of -8*j**6/15 + j**5/5 + 4*j**4/3 - 2*j**3/3 - 49*j. Let i(n) = 0. Calculate n.
-1, 0, 1/4, 1
Let o = 188 - 188. Let g(d) be the third derivative of 0*d**4 - 1/80*d**5 + o*d**3 + 0*d + 0 + 1/480*d**6 - 8*d**2. Determine z so that g(z) = 0.
0, 3
Let h(t) be the third derivative of 1/150*t**6 + 0*t**3 + 7*t**2 + 0 + 0*t - 1/15*t**4 - 1/75*t**5. Factor h(g).
4*g*(g - 2)*(g + 1)/5
Let c(h) be the third derivative of -h**6/1020 + 19*h**5/510 + 41*h**4/204 + 7*h**3/17 + 67*h**2. Factor c(d).
-2*(d - 21)*(d + 1)**2/17
Let f = -944/21 - -45. Let v(j) be the second derivative of 0 + 2/7*j**2 - f*j**3 - 1/42*j**4 - j. Factor v(s).
-2*(s - 1)*(s + 2)/7
Let u = -8891 - -44647/5. Factor -24/5*v**2 + 1/5*v**3 + u*v - 512/5.
(v - 8)**3/5
Solve -12/5 - 7/5*v - 1/5*v**2 = 0.
-4, -3
Let f = 3055 + -3051. Factor 4/3*w**2 + 0*w + 8/3*w**3 + 1/3*w**5 + 5/3*w**f + 0.
w**2*(w + 1)*(w + 2)**2/3
Let q(r) be the third derivative of 1/80*r**6 + 0 + 0*r + 1/2*r**3 - 4*r**2 - 1/4*r**4 + 3/80*r**5 - 1/280*r**7. Let q(b) = 0. What is b?
-2, 1, 2
Let y(v) be the first derivative of -v**3/12 - 9*v**2/8 - 2*v - 152. Factor y(c).
-(c + 1)*(c + 8)/4
Let o(j) be the second derivative of -j**5/40 + 67*j**4/24 - 272*j**3/3 - 289*j**2 + 66*j + 1. Factor o(z).
-(z - 34)**2*(z + 1)/2
Find y, given that 65548256/7*y**3 + 4/7 + 774192/7*y**2 + 3048/7*y = 0.
-1/254
Suppose -7*p + p - 36 = 0. Let d be 75/6 - (-2 - p). Suppose -8*x - 5/2*x**3 + 2 + d*x**2 = 0. Calculate x.
2/5, 1, 2
Let p(g) be the second derivative of g**6/15 + g**5/2 - g**4/6 - 5*g**3/3 + 139*g. Factor p(d).
2*d*(d - 1)*(d + 1)*(d + 5)
Let f(u) be the second derivative of 4*u - 5/96*u**4 + 0*u**2 + 1/40*u**5 + 1/24*u**3 + 0 - 1/240*u**6. Factor f(g).
-g*(g - 2)*(g - 1)**2/8
Let t be (3/(-3)*0)/2. Factor 14*p - 3 + t - 2*p - 3*p - 9*p**2 + 3*p**3.
3*(p - 1)**3
Let t(k) = -k**2 + 2*k - k**3 + 3 + 2 - 3 - k**3. Let i be t(-1). Let w(b) = b**2. Let d(x) = 3*x**3 + 9*x**2 + 6*x. Let v(f) = i*d(f) - 18*w(f). Factor v(l).
3*l*(l - 2)*(l - 1)
Factor 175*t**2 - t**3 - 45 + 6*t**3 + 35*t + 34*t + 6*t - 210*t**2.
5*(t - 3)**2*(t - 1)
Let c(f) = 1. Let g(d) = -d**2 - 20*d + 20. Let n(u) = c(u) + g(u). Factor n(a).
-(a - 1)*(a + 21)
Let k(z) be the third derivative of -z**6/48 - 11*z**5/30 - 61*z**4/48 + 7*z**3/6 - 5*z**2 - 17*z. Factor k(r).
-(r + 2)*(r + 7)*(5*r - 1)/2
Let l = -76 + 79. Suppose -2*q = -3*q + l*c + 2, 5*q + 3*c = 10. Solve 1/2*z**5 - 2*z**4 + 1/2*z + 3*z**3 - 2*z**q + 0 = 0 for z.
0, 1
Let o(a) be the third derivative of a**7/42 - a**6/4 + 13*a**5/12 - 5*a**4/2 + 10*a**3/3 + 2*a**2 + 52. Find f such that o(f) = 0.
1, 2
Let u(q) be the second derivative of -q**6/135 - 2*q**5/45 + 2*q**4/9 + 4*q + 19. Factor u(p).
-2*p**2*(p - 2)*(p + 6)/9
Let m(u) = 184*u**4 + 292*u**3 - 12*u**2 - 68*u + 16. Let a(z) = -z**4 + z**3 + z. Let s(r) = 12*a(r) - m(r). Factor s(p).
-4*(p + 1)**2*(7*p - 2)**2
Let g(k) = k**3 - k + 1. Let v = 2 + -3. Let d(s) = -2*s**3 - 30*s**2 + 154*s - 254. Let h(b) = v*d(b) - 4*g(b). Factor h(f).
-2*(f - 5)**3
Let a be (121/297)/(7/168). Factor 484/9 + a*z + 4/9*z**2.
4*(z + 11)**2/9
Solve -30/11*a**3 - 14/11*a**2 + 24/11*a + 8/11*a**4 + 0 = 0 for a.
-1, 0, 3/4, 4
Let l(c) = -22*c + 2623. Let z be l(119). Let 0 - 4/9*h - 2*h**3 - 10/9*h**4 - 2/9*h**z - 14/9*h**2 = 0. What is h?
-2, -1, 0
Suppose 12 = 14*v - 11*v. Find k, given that 4*k**v + 24*k**2 + 1 - 8*k**3 - 2 - 16*k + 5 - 8*k**3 = 0.
1
Let y(b) = 2*b**2 + 93. Let p be y(0). Suppose -10 = -98*d + p*d. Let -4/3*z + 2/3*z**2 + d*z**3 + 0 = 0. Calculate z.
-1, 0, 2/3
Let m(c) be the second derivative of c**5/570 + 5*c**4/228 + 2*c**3/19 - 7*c**2/2 + 13*c. Let p(r) be the first derivative of m(r). Factor p(o).
2*(o + 2)*(o + 3)/19
Let n(f) be the first derivative of -5*f**4/16 - 5*f**3/12 + 5*f**2 + 15*f - 126. Suppose n(h) = 0. What is h?
-2, 3
What is r in -2/7*r**2 - 12/7 + 2*r = 0?
1, 6
Determine r, given that 1/3*r**3 + 1/6*r**4 + 2/3*r + 0 - 7/6*r**2 = 0.
-4, 0, 1
Let x(n) be the third derivative of -2*n**7/105 - n**6/30 + n**5/15 + n**4/6 + n**2 + 55*n. Factor x(z).
-4*z*(z - 1)*(z + 1)**2
Let a be 1347/9 - (-1)/3. Factor 56*r**3 - 13*r**2 - a*r**5 - 96*r**4 + 116*r**4 - 