 7*q**2 + 16*q + 24. Let i(u) = -30*u**2 - 63*u - 96. Let o(j) = 2*i(j) + 9*k(j). Factor o(l).
3*(l + 2)*(l + 4)
Suppose -3*z = -8*u + 6*u - 14, 0 = 2*u + 2. Let r(q) be the second derivative of 1/3*q**z + 0*q**2 - 2/3*q**3 + 1/5*q**5 + 0 + 3*q - 2/15*q**6. Factor r(c).
-4*c*(c - 1)**2*(c + 1)
Factor -380/7*v**2 + 2/7*v**3 + 18050/7*v + 0.
2*v*(v - 95)**2/7
Let l(x) be the second derivative of -5*x**4/36 + 5*x**3/9 + 40*x**2 - 37*x - 3. Solve l(i) = 0 for i.
-6, 8
Let u(w) be the first derivative of w**5/10 - 7*w**4/8 + 5*w**3/2 - 9*w**2/4 - 387. Factor u(b).
b*(b - 3)**2*(b - 1)/2
Let s be 4/((-16)/18)*12/(-18). Find k, given that -83*k**3 + 176*k**3 - 88*k**s = 0.
0
Suppose 160*r + 20 = 170*r. Let u(s) be the first derivative of -1/15*s**3 - 3/5*s - 10 + 2/5*s**r. Let u(m) = 0. What is m?
1, 3
Let d be (-2 + (3 - 1))/(-105 - -107). Let n(s) be the third derivative of -1/16*s**6 + 1/8*s**4 + 0 + d*s - 3/40*s**5 + 12*s**2 + 0*s**3. Factor n(v).
-3*v*(v + 1)*(5*v - 2)/2
Let l be 4*(-9)/72*(-11 - (-10)/2). Factor 8/3 + 2/3*p**l + 16/3*p + 10/3*p**2.
2*(p + 1)*(p + 2)**2/3
Let z(p) = p**3 + 4*p**2 + 6*p + 1. Let i be z(-3). Let t(r) = -7*r - 52. Let s be t(i). Solve 4/7 + 10/7*f**s + 34/7*f**3 + 6*f**2 + 22/7*f = 0 for f.
-1, -2/5
Let r(b) be the third derivative of b**6/420 + b**5/21 + 9*b**4/28 + 6*b**3/7 + 674*b**2. Factor r(y).
2*(y + 1)*(y + 3)*(y + 6)/7
Let l be ((-52)/325)/(39 - 41). Factor 0*g - l*g**4 + 0 - 4/25*g**2 + 6/25*g**3.
-2*g**2*(g - 2)*(g - 1)/25
Suppose -55*t = -53 - 167. Factor -1/3*b**t - b**3 - b**2 + 0 - 1/3*b.
-b*(b + 1)**3/3
Let m(z) be the third derivative of 0*z**3 + 0 - 1/15*z**6 - 1/15*z**5 + 1/3*z**4 - 43*z**2 + 0*z + 2/105*z**7. Factor m(s).
4*s*(s - 2)*(s - 1)*(s + 1)
Let k(z) be the third derivative of z**8/3192 + z**7/1995 - z**6/570 - 491*z**2. Factor k(x).
2*x**3*(x - 1)*(x + 2)/19
Let f(v) be the second derivative of v**7/168 + v**6/72 - v**5/24 - 5*v**4/24 - 5*v**3/2 - 3*v. Let p(c) be the second derivative of f(c). Solve p(q) = 0 for q.
-1, 1
Factor 42/5*v**2 + 18/5*v**3 + 12/5 + 38/5*v + 2/5*v**4.
2*(v + 1)**3*(v + 6)/5
Solve 54*a**2 + 124*a - 6 + 57 - a**4 + 37 + 5*a**3 = 0 for a.
-2, 11
Let l be ((-2)/1 - -1)/(10/(-20)). Suppose -96/7*k**3 - 64/7*k**4 - 4/7*k - 36/7*k**l + 0 = 0. What is k?
-1, -1/4, 0
Let b(x) be the third derivative of -1/18*x**6 - 2/9*x**3 + 5/36*x**4 + 2/63*x**7 + 0 + 0*x - 11*x**2 - 1/168*x**8 + 0*x**5. Factor b(r).
-2*(r - 1)**4*(3*r + 2)/3
Let x(r) be the second derivative of -r**4/4 - 19*r**3/12 - 3*r**2/4 - 114*r. Determine g so that x(g) = 0.
-3, -1/6
Let x(w) be the first derivative of w**3 - 15*w**2/2 + 18*w + 53. Factor x(t).
3*(t - 3)*(t - 2)
Suppose 18*u - 66 = 19*u. Let m = u + 71. Suppose -11/4*f**3 + 3/8*f - 5/8*f**m - 1/4 + f**2 + 9/4*f**4 = 0. Calculate f.
-2/5, 1
Let d = 187 + -747/4. Factor 2*g - 4 - d*g**2.
-(g - 4)**2/4
Let n be ((-10)/3)/(415/(-498)). Let x(r) be the first derivative of 0*r**3 - 1/2*r**6 + 0*r + 0*r**n + 4 + 0*r**2 - 3/5*r**5. Suppose x(p) = 0. Calculate p.
-1, 0
Let q(a) be the third derivative of -1/140*a**6 - 1/8*a**4 - 12*a**2 + 0*a + 1/7*a**3 + 0 + 1/20*a**5. Solve q(s) = 0 for s.
1/2, 1, 2
Determine c, given that 4/11*c**2 - 18/11*c - 36/11 + 2/11*c**3 = 0.
-3, -2, 3
Let o be 8/(-12)*3 + 2. Let n(l) be the third derivative of 1/5*l**5 - 1/3*l**4 + o*l - 1/15*l**6 + 1/105*l**7 + 3*l**2 + 0 + 1/3*l**3. Factor n(v).
2*(v - 1)**4
Determine z so that -1118*z**2 - 3*z + 3*z**3 + 1124*z**2 + 6*z = 0.
-1, 0
Suppose 2*x - x - 3 = 0. Let r(p) = -6*p**4 + 9*p**2 - 15*p + 6. Let t(a) = -a**4 - a**3. Let c(n) = x*t(n) - r(n). Determine q, given that c(q) = 0.
-2, 1
Factor -2/3*h**2 - 2/3*h + 8/3 + 1/6*h**3.
(h - 4)*(h - 2)*(h + 2)/6
Let t = -49 - -54. Factor 163*h**t - h**3 - 2*h**3 - 160*h**5.
3*h**3*(h - 1)*(h + 1)
Let q(m) be the first derivative of -m**6 + 16/5*m**5 + 0*m**3 + 21 - 3*m**4 + m**2 + 0*m. Let q(u) = 0. What is u?
-1/3, 0, 1
Let -288*o - 135 - 60*o**4 - 656*o**2 + 330*o**3 - 48 + 960*o - 73 - 34*o**3 + 4*o**5 = 0. Calculate o.
1, 2, 8
Determine b, given that -1/4*b**2 + 0 - 7/4*b = 0.
-7, 0
Suppose -4*r + 5 = r. Let u(d) = -8*d**2 - 3*d + 5. Let s(b) = -6492*b**2 + 3245*b**2 + 3246*b**2 - b. Let m(x) = r*u(x) - 3*s(x). Factor m(y).
-5*(y - 1)*(y + 1)
Suppose -32 - 30/7*b**4 - 400/7*b**2 + 480/7*b + 2/7*b**5 + 160/7*b**3 = 0. Calculate b.
2, 7
Let u(q) be the second derivative of q**4/54 - 34*q**3/9 + 289*q**2 + 54*q + 1. Factor u(g).
2*(g - 51)**2/9
Let s(t) = t**2. Let c(q) = -5*q**2 - 69*q + 67*q + 4*q**2. Let m(g) = c(g) + 2*s(g). Find h, given that m(h) = 0.
0, 2
Let r(w) be the second derivative of 2*w**6/15 + 22*w**5/45 + 4*w**4/9 - 4*w**3/9 - 10*w**2/9 - 389*w. Determine i so that r(i) = 0.
-1, 5/9
Let t = 841/186 + -2/93. Let y be (-3)/(-5)*((-150)/(-12) + -10). Factor 0*r + 0*r**2 + t*r**4 + 0 + y*r**3.
3*r**3*(3*r + 1)/2
Let x = 16 + -19. Let k be x/(-45) - (-2)/6. Factor -k*s**2 - 12/5*s - 18/5.
-2*(s + 3)**2/5
Let s = 2165 - 10816/5. Let -3/5*i**5 + 16/5*i - s*i**2 - 4/5 - 13/5*i**3 + 13/5*i**4 = 0. What is i?
-1, 1/3, 1, 2
Let o be ((-464)/54)/(30/(-9)) - -2. Let q = o - 62/15. Suppose 2/9*d + 2/9 - 10/9*d**3 - q*d**4 - 2/3*d**2 = 0. Calculate d.
-1, 1/2
Suppose 3*s + 2 = f + 2*s, 4*f = -2*s + 14. Suppose -6*a = -9*a + 6. Find n such that -7*n + 9*n + n**3 - 3*n**f - n**2 + 3*n**a - 2 = 0.
-1, 1
Let b(r) be the first derivative of -2*r**6/5 - 39*r**5/25 - 9*r**4/4 - 7*r**3/5 - 3*r**2/10 - 1. Factor b(w).
-3*w*(w + 1)**3*(4*w + 1)/5
Let d be ((-2)/(-56) - 0)/((-19)/(-228)). Factor 15/7*b + 9/7 + d*b**2 - 3/7*b**3.
-3*(b - 3)*(b + 1)**2/7
Let j be ((-8)/((-64)/(-6)))/(-2 + (-55)/(-80)). Find y, given that j*y**2 + 2/7*y**5 - 4/7*y**4 + 0 + 0*y - 2/7*y**3 = 0.
-1, 0, 1, 2
Suppose 4*o = -4 + 12. Let f(j) = j**2 - 5*j**2 + 11*j**o - j. Let b(q) = -q**2. Let t(s) = -5*b(s) - f(s). Find k, given that t(k) = 0.
0, 1/2
Let i = -9075 + 9075. Let b be (-1)/(5/7) + 2. What is r in 3/5*r**2 + 0 + 0*r - b*r**4 + i*r**3 = 0?
-1, 0, 1
Let l be ((-78)/65)/((-6)/(-20)). Let s(c) = -c**2 - 4*c. Let f be s(l). Find k, given that f*k + 1/3*k**2 + 0 = 0.
0
Let r = 9045/7 + -1292. Factor -r*g**3 + 1/7*g + 0*g**2 + 0.
-g*(g - 1)*(g + 1)/7
Determine h, given that 20/7*h + 3 - 1/7*h**2 = 0.
-1, 21
Determine g, given that -9*g + 56*g**4 - 104*g**4 - 15*g**2 - 3*g**3 + 0*g + 51*g**4 = 0.
-1, 0, 3
Suppose -90*b + 82 = -60*b - 8. Suppose 0 + 0*g - 48/7*g**b + 15/7*g**4 - 1/7*g**5 - 64/7*g**2 = 0. What is g?
-1, 0, 8
Let o = 929 + -927. Let d(c) be the first derivative of 0*c - 1/15*c**3 + 0*c**o + 13. What is z in d(z) = 0?
0
Let r(p) be the second derivative of p**5/10 - p**4/6 - 5*p**3/3 - 3*p**2 + 48*p + 1. Factor r(a).
2*(a - 3)*(a + 1)**2
Let s(o) be the first derivative of 2/3*o**3 + 2*o**2 + 16 + 2*o. Factor s(k).
2*(k + 1)**2
Let n(x) be the third derivative of x**6/30 + 11*x**5/15 + 322*x**2. Find g, given that n(g) = 0.
-11, 0
Let f(o) = 2*o**4 + 2*o**3 - 2*o**2. Let p = -6 + 7. Let j(a) = 0*a - a**5 + p - a - 2 - a**4 + 2. Let r(w) = -4*f(w) - 4*j(w). Let r(h) = 0. What is h?
-1, 1
Let v(d) be the second derivative of -d**5/80 - 59*d**4/8 - 3481*d**3/2 - 205379*d**2 + 217*d. Factor v(s).
-(s + 118)**3/4
Suppose -1/7*o**4 + 0 + 0*o - 2/7*o**2 - 3/7*o**3 = 0. Calculate o.
-2, -1, 0
Let m = -23 + 17. Let p be (-2)/m + (-22)/(-6). Factor 2*n**3 - n**2 + n**2 + 0*n**5 - 2*n**5 + 2*n**p - 2*n**2.
-2*n**2*(n - 1)**2*(n + 1)
Let m = -26 - -47. Let n be (-11)/(-3) + (-14)/m. Determine j so that 8*j**3 - 3*j**3 - n*j**3 - 2*j**2 = 0.
0, 1
Let w(g) be the first derivative of -g**4/3 - 64*g**3/9 - 128*g**2/3 + 34. Let w(m) = 0. Calculate m.
-8, 0
Let n(w) = 9*w**2 - 5*w - 24. Let l(t) = -22*t**2 + 11*t + 46. Let i(j) = 2*l(j) + 5*n(j). Factor i(q).
(q - 7)*(q + 4)
Let w(l) = 14*l**2 + 83*l - 43. Let m(v) = -30*v**2 - 165*v + 85. Let f(q) = -2*m(q) - 5*w(q). Factor f(b).
-5*(b + 9)*(2*b - 1)
Factor 3/2*m**4 + 9/2*m - 15/2*m**2 + 6 - 9/2*m**3.
3*(m - 4)*(m - 1)*(m + 1)**2/2
Let u be 0 + (-18)/(-4) + 2/(-4). Suppose 3*s**4 + 24 - u*s + 3*s**4 + 2*s**5 + 2*s**3 - 24 - 6*s**2 = 0. Calculate s.
-2, -1, 0, 1
Let b = -1195/4 - -1197/4. Factor q + 0 + b*q**2.
q*(q + 2)/2
Let k(w) = -6*w**2 - 14*w + 4 + 13*w + 5*w**2. Let f be k(-2). Suppose -f*m**4 + 1/2*m**