- 6/13 + 2/13*o**2.
2*(o - 3)*(o + 1)/13
Let q be (148/(-8) + 19)*0. Factor -4/9*k + 2/9*k**4 - 8/9*k**3 + 10/9*k**2 + q.
2*k*(k - 2)*(k - 1)**2/9
Let w be 534/4628*(-39)/(-27). Suppose -1/2*u + 0 - w*u**2 = 0. What is u?
-3, 0
Let q(w) be the first derivative of -13*w**3 - 12*w - 9/4*w**4 - 12 - 20*w**2. Factor q(j).
-(j + 3)*(3*j + 2)**2
Let l be ((-9)/(-30))/(2/130*13). Find w, given that 9*w**2 + l*w**4 - 15/2*w**3 + 0*w + 0 = 0.
0, 2, 3
Let i(w) = 164*w**4 - 576*w**3 + 370*w**2 + 258*w + 34. Let u(f) = -329*f**4 + 1152*f**3 - 741*f**2 - 517*f - 69. Let z(o) = -5*i(o) - 2*u(o). Factor z(c).
-2*(c - 2)**2*(9*c + 2)**2
Let 30*n**2 + 4*n**2 + 8 - 58*n - 8*n**3 + 93*n - 75*n = 0. What is n?
1/4, 2
Let q(j) be the third derivative of j**6/300 - 9*j**5/50 - 7*j**4/15 - 77*j**2. Factor q(f).
2*f*(f - 28)*(f + 1)/5
Let p(c) be the first derivative of 3*c**4 + 76*c**3/3 - 30*c**2 - 28*c + 126. Find j, given that p(j) = 0.
-7, -1/3, 1
Determine b, given that 6*b**2 + 0 + 0 - 1855*b**3 + 1853*b**3 = 0.
0, 3
Let b(g) be the first derivative of g**4/10 + 58*g**3/15 + 272*g**2/5 + 1664*g/5 + 499. Suppose b(q) = 0. What is q?
-13, -8
Let j(q) = -14*q**2 + 176*q + 90. Let i(n) = -13*n**2 + 174*n + 89. Let v(z) = -6*i(z) + 5*j(z). Factor v(b).
4*(b - 21)*(2*b + 1)
Suppose 0 = -k - 4*p - 9, 4*k + 11 = 3*k - 5*p. Let x be (1 + k)/(-2)*4/8. Factor 0 - 7*t**3 - t**2 + x*t - 49/4*t**4.
-t**2*(7*t + 2)**2/4
Let j(d) = d**5 - 2*d**4 + 2*d - 1. Let p(l) = 15*l**4 - 15*l**3 - 5*l**2 + 5. Let n(t) = -5*j(t) - p(t). Suppose n(b) = 0. Calculate b.
-2, -1, 0, 1
Let q = -2/675 - 2428/675. Let a = 22/5 + q. Factor -2/5*d**3 - 8/5*d**2 - 2*d - a.
-2*(d + 1)**2*(d + 2)/5
Let i(m) be the third derivative of 0*m + 0 - 1/20*m**5 + 3/8*m**4 + 4*m**2 + 0*m**3. Factor i(b).
-3*b*(b - 3)
Factor 66*d**3 - 54*d**3 - 144*d**2 - 30*d**3 - 222*d - 99 + 3*d**4.
3*(d - 11)*(d + 1)**2*(d + 3)
Let -19*w**3 - 9*w**2 - 3*w**4 + 12*w - 21*w**3 - 19*w**3 + 47*w**3 + 12 = 0. Calculate w.
-2, -1, 1
Let k(m) = m**3 - 3*m**2 - m + 8. Let h be k(2). Let a(r) be the first derivative of 4/11*r**h + 9 - 8/33*r**3 - 2/11*r. Let a(n) = 0. Calculate n.
1/2
Let p = 55/161 - -2/23. Let o = 2657/259 - 332/37. Factor 0 + p*v + 3/7*v**4 + o*v**3 + 9/7*v**2.
3*v*(v + 1)**3/7
Let n(c) be the first derivative of 15 - 3/4*c - 1/4*c**2 + 1/12*c**3. Factor n(a).
(a - 3)*(a + 1)/4
Let i be 24/(-56) + (-106)/14. Let g(d) = d**2 + 10*d + 19. Let l be g(i). Find q such that q - 1/2*q**2 + 0 - 1/2*q**l = 0.
-2, 0, 1
Factor 2/7*v**2 + 8/7*v + 6/7.
2*(v + 1)*(v + 3)/7
Let v(f) = f**2 + 19*f + 33. Let p be v(-18). Factor -3*t**4 + 5 + 4 + 9*t**2 + p*t - 3 + 4*t**3 - 7*t**3.
-3*(t - 2)*(t + 1)**3
Let i(y) be the second derivative of 3*y**5/10 + 55*y**4/3 + 348*y**3 + 648*y**2 + 302*y. Factor i(o).
2*(o + 18)**2*(3*o + 2)
Let k = 2810 + -5603/2. Factor 1/2*y**3 - 9/2 - 7/2*y**2 - k*y.
(y - 9)*(y + 1)**2/2
Let k be ((-156)/260)/(-3 + (-42)/(-15)). Factor -6/7*o**2 - 2/7*o**k - 4/7*o + 0.
-2*o*(o + 1)*(o + 2)/7
Factor -35*t - 608*t + 13*t**2 + 224*t - 232 - 633*t - 49*t**2.
-4*(t + 29)*(9*t + 2)
Suppose 5*r = a - 23, -16*r + 13*r = -4*a + 24. Factor -36*z**2 - 14*z**a - 16/7 - 120/7*z.
-2*(z + 2)*(7*z + 2)**2/7
Let j(b) = -5*b**2 + 68*b - 39. Let g be j(13). Factor y**4 + 1/5*y**2 + 8/5*y**3 - 2/5*y + g.
y*(y + 1)**2*(5*y - 2)/5
Let p = -24 - -29. Suppose -7*i + 12*i - 3*i**5 - p*i - 3*i**3 - 6*i**4 = 0. Calculate i.
-1, 0
Let f(q) be the second derivative of q**4/36 - 19*q**3/9 - 177*q - 1. Suppose f(y) = 0. What is y?
0, 38
Let n be (4/(-8) + 2)/(9/12). Suppose -n*a + 9*a = 0. Determine i, given that -1/3*i**3 + 2/3*i**2 - 1/3*i**4 + 0 + a*i = 0.
-2, 0, 1
Let i(c) be the second derivative of -2*c**6/105 + 2*c**5/35 + c**4/7 - 16*c**3/21 + 8*c**2/7 + 212*c. Solve i(g) = 0.
-2, 1, 2
Solve 0*m + 1/5*m**4 + 0*m**3 - 4/5*m**2 + 0 = 0 for m.
-2, 0, 2
Let o(a) be the first derivative of -4*a**3/9 - 50*a**2/3 - 184*a/3 - 12. Factor o(f).
-4*(f + 2)*(f + 23)/3
Let q = 44 - 42. Solve 21*g**q - 17*g - 31*g - 3*g**3 + 12 + 24 = 0 for g.
2, 3
Solve -96/5*m + 98/5 - 2/5*m**2 = 0.
-49, 1
Let f be 170/50 + (-84)/60. Factor k**5 - 4/3*k**3 - f*k**2 + 1/3*k + 2/3 + 4/3*k**4.
(k - 1)*(k + 1)**3*(3*k - 2)/3
Let l = 11 - 1. Let a be 15/18*l*(-8)/(-40). Factor 2/3 + 1/3*u**3 + 4/3*u**2 + a*u.
(u + 1)**2*(u + 2)/3
Let r(a) be the first derivative of -1/9*a**3 + 1/180*a**5 + 2*a**2 + 0*a - 1/72*a**4 - 4. Let b(d) be the second derivative of r(d). Factor b(m).
(m - 2)*(m + 1)/3
Let z(v) be the third derivative of 0*v + 0 - 1/32*v**4 - 41*v**2 + 0*v**3 + 1/240*v**5. Factor z(s).
s*(s - 3)/4
Let q(b) = b**3 - 6*b**2 + 3*b - 6. Let p be q(6). Factor -11*n + p*n**5 + 6*n + 5*n - 21*n**4 + 3*n**2 + 6*n**3.
3*n**2*(n - 1)**2*(4*n + 1)
Let c(j) be the third derivative of j**6/60 - j**5/30 + j**4/12 + j**2. Let w be c(1). Let 3/2*r**w + 0 - 9/2*r = 0. What is r?
0, 3
Let z be 10/(-2) - (320 - 13). Let o = 4058/13 + z. Factor -o*x**2 + 2/13*x + 0.
-2*x*(x - 1)/13
Let -1857*x**4 - 2*x**2 - 1857*x**4 + 6*x**2 + 3710*x**4 - 20*x + 20*x**3 = 0. What is x?
-1, 0, 1, 5
Let z be 182/(-21) + 10 + 8/(-6). Let f(k) be the third derivative of -1/24*k**4 + 1/160*k**6 - 7*k**2 + z*k**3 + 0*k**5 - 1/840*k**7 + 0 + 0*k. Factor f(g).
-g*(g - 2)**2*(g + 1)/4
Let c = 649 + -646. Let l(t) be the third derivative of 0 + 0*t**5 - 7*t**2 - 1/6*t**c + 0*t - 1/60*t**6 + 1/210*t**7 + 1/12*t**4. Factor l(w).
(w - 1)**3*(w + 1)
Let a(z) be the second derivative of -1/8*z**4 + 1/60*z**6 - z**2 + 0 - 2/3*z**3 + 1/20*z**5 + 10*z. Determine j so that a(j) = 0.
-2, -1, 2
Let v(d) = -12*d**4 - 2*d**3 + 25*d**2 - 6*d. Let u(h) = -h**4 + 2*h**3. Let s(l) = -5*u(l) + v(l). Factor s(q).
-q*(q - 1)*(q + 3)*(7*q - 2)
Let s(t) = t**3 + 6*t**2 + 4*t - 3. Let d be s(-5). Factor 12 - y**2 - 8 - y**2 - y**3 - y**d.
-(y - 1)*(y + 2)**2
Let i(t) be the third derivative of t**5/120 - t**4/16 - 3*t**3/2 - 835*t**2. Factor i(g).
(g - 6)*(g + 3)/2
Let c be -1*2 - (-104)/48. Let i be ((-10)/25)/(6/(-45)). Factor -1/2*n**2 + 5/6*n + 1/6*n**4 - c*n**i - 1/3.
(n - 1)**3*(n + 2)/6
Let o = 28 + -23. Suppose 5*d = -o*q, 2 - 10 = d + 5*q. Factor -r**2 - r**d + r**2 + 0*r**2 + 3*r.
-r*(r - 3)
Let t be (7/((-7)/(-36)))/(3/2). Suppose 3*m + 12 = -5*c - 7, -4*c = -2*m + t. Factor -v**3 + 8/3 + 4*v + 1/6*v**4 + 1/6*v**m.
(v - 4)**2*(v + 1)**2/6
Suppose -7*d = -4*d - d. Let q(t) be the second derivative of 0*t**2 - 1/6*t**4 + 1/3*t**3 + d + 5*t. Factor q(f).
-2*f*(f - 1)
Let h = -4449 - -4451. Determine k, given that 3/2 - 5/2*k**2 - h*k + k**3 = 0.
-1, 1/2, 3
Determine s, given that 15*s**2 + 25 + 5/3*s**3 + 115/3*s = 0.
-5, -3, -1
Let o be 3/(-1) + -5 + 3. Let z = o - -7. Factor -300*l**4 + 47*l**5 - 16*l**z + 8*l**3 + 203*l**5 + 112*l**3.
2*l**2*(5*l - 2)**3
Let d be ((-96)/(-14) - -3) + (-108)/36. What is w in 0*w - d*w**2 - 60/7*w**3 + 0 - 3/7*w**5 - 24/7*w**4 = 0?
-4, -2, 0
Let c(z) be the second derivative of z**3/2 + 6*z**2 + 36*z. Let y be c(-4). Determine u so that y*u - 4/3*u**3 + 0 - 4/3*u**2 = 0.
-1, 0
Let z = -96/5 - -577/30. Let o(w) be the third derivative of 1/12*w**4 - z*w**5 + 0 + 1/105*w**7 + 7*w**2 - 1/60*w**6 + 0*w + 0*w**3. Factor o(j).
2*j*(j - 1)**2*(j + 1)
Suppose 8 = 4*p + 5*d, 0 = 4*p - 3*d + 2*d + 16. Let j(s) = -2*s - 4. Let b be j(p). Factor 1 - u**3 - u**4 + 2*u**b - u**3 - u**5 - 3*u**4 + 3*u + u**4.
-(u - 1)*(u + 1)**4
Let a(c) = -5*c**2 - 28*c + 9. Let d(u) = u**2 - u. Suppose 12*r + 3 = 9*r. Let l(i) = r*a(i) + 4*d(i). Solve l(q) = 0 for q.
-3, 1/3
Let j(s) be the first derivative of -s**2/2 + 5*s + 7. Let k be j(3). Determine c so that 0*c - 2/9*c**3 + 0*c**k + 0 + 2/9*c**4 = 0.
0, 1
Suppose 169*u = 177*u. Let h(m) be the third derivative of -1/2*m**3 - m**2 + 3/8*m**4 + 0 + u*m + 1/40*m**6 - 3/20*m**5. Factor h(l).
3*(l - 1)**3
Let a(w) = 4*w**3 + 2*w**2 + 4*w - 3. Let k(n) = -3*n**3 + 0 + 3 + 3 - 4 - 3*n - 2*n**2. Let h(l) = -4*a(l) - 6*k(l). Solve h(b) = 0 for b.
-1, 0
Let m(k) be the third derivative of k**8/40320 + k**7/630 + 2*k**6/45 + 2*k**5/5 + 38*k**2. Let d(h) be the third derivative of m(h). Factor d(v).
(v + 8)**2/2
Let i(y) be the second derivative of 0*y**3 + 0 + 1/80*y**5 + 0*y**2 - 6*y - 1/96*y**4 - 1/240*y**6. Factor i(r).
-r**2*(r - 1)**2/8
Factor 2116/5*q**2 