*a**2/2 - 15. Let i(o) be the second derivative of h(o). Factor i(n).
n*(4*n - 1)*(13*n - 2)/3
Let n = -11959 + 11961. Factor -4/3*l + 2/21*l**n + 14/3.
2*(l - 7)**2/21
Let p(q) = -q**3 - 10*q**2 - 55*q - 51. Let s(w) = -2*w**3 - 18*w**2 - 111*w - 103. Let f(x) = -14*p(x) + 6*s(x). Factor f(v).
2*(v + 2)**2*(v + 12)
Let w(b) = 2*b**2 - 25*b - 20. Let q(o) = -o**2 + 8*o + 7. Suppose -j - 30 = 4*j - 4*r, -4*j - 18 = -2*r. Let d(u) = j*w(u) - 7*q(u). Solve d(i) = 0 for i.
-1, 3
Let q(r) = 2*r**3 + 10*r**2 + 8*r - 2. Let v(z) = -16*z - 210 - 19*z**2 - z**3 + 215 - 2*z**3. Let s(g) = 5*q(g) + 2*v(g). Factor s(l).
4*l*(l + 1)*(l + 2)
Let d be (11 + -11 - 7) + 39. Let -4/3*g**3 - 64/3*g**5 + 0 + 8*g**2 - 4/3*g - d*g**4 = 0. What is g?
-1, 0, 1/4
Suppose -6*c + 22 = -8. Let n be 225/21 - (-4)/14. Determine i, given that -10 - 1 - c*i**2 + 5*i**4 + n = 0.
-1, 0, 1
Let s = 40721/7 - 5813. Factor -6/7*n**2 - s - 36/7*n.
-6*(n + 1)*(n + 5)/7
Let a = -1586 + 1586. Let y(z) be the third derivative of -2*z**2 + 0 + a*z + 0*z**5 + 0*z**7 - 1/100*z**6 + 1/560*z**8 + 0*z**3 + 1/40*z**4. Factor y(l).
3*l*(l - 1)**2*(l + 1)**2/5
What is b in 29*b**2 + 7*b - 25*b**2 + 64 - 39*b = 0?
4
Let z(v) = -11*v**5 - 51*v**4 - 10*v**3 + 94*v**2 - 32*v - 4. Let g(x) = -x**5 + x**2 + 4*x - 2. Let j(b) = -2*g(b) + z(b). What is d in j(d) = 0?
-5, -2, 0, 2/3
Let g(x) be the third derivative of x**6/300 + 12*x**5/125 + 91*x**4/100 + 98*x**3/75 - 61*x**2. Factor g(c).
2*(c + 7)**2*(5*c + 2)/25
Factor 5/4*m**3 + 265/4*m + 25*m**2 + 85/2.
5*(m + 1)*(m + 2)*(m + 17)/4
Let f(c) be the first derivative of -2*c**5/45 - 2*c**4/9 + 8*c**3/27 + 16*c**2/9 + 110. Factor f(p).
-2*p*(p - 2)*(p + 2)*(p + 4)/9
Let r(o) be the second derivative of -o**5/120 + 67*o**4/8 - 13467*o**3/4 + 2706867*o**2/4 - 7*o + 31. Find k such that r(k) = 0.
201
Let j(b) be the third derivative of -b**9/181440 - b**8/12960 + b**7/6480 + b**6/648 - b**5/3 + 6*b**2. Let h(r) be the third derivative of j(r). Factor h(y).
-(y - 1)*(y + 5)*(3*y + 2)/9
Let z(s) be the third derivative of s**8/2016 + s**7/420 + 15*s**2. Factor z(q).
q**4*(q + 3)/6
Let w = -31/28 - -121/84. Factor -1/3 + 4/3*k + 4/3*k**3 - 2*k**2 - w*k**4.
-(k - 1)**4/3
Let l(x) be the third derivative of x**8/1848 - x**7/1155 - 13*x**6/660 + 5*x**5/66 - x**4/11 - 381*x**2. Find a, given that l(a) = 0.
-4, 0, 1, 3
Let l be 18/24 - (-27)/12. Let u = -8 - -11. Determine y, given that -3*y**5 - 2*y**4 - u*y**l + 3*y**3 + 5*y**4 = 0.
0, 1
Let h = -1312/55 + -11717/165. Let p = 95 + h. Factor 0 - 2/15*u**2 - p*u.
-2*u*(u + 1)/15
Let i(q) be the second derivative of q**4/4 + 259*q**3 + 201243*q**2/2 + q + 426. Suppose i(x) = 0. Calculate x.
-259
Let -2/5*a**2 + 14*a + 72/5 = 0. Calculate a.
-1, 36
Let s(n) = -n**2 - n + 6. Let r = -22 + 19. Let v be s(r). Factor 3/2*h**2 - 3/2*h + v.
3*h*(h - 1)/2
Let y(f) be the third derivative of -1/4*f**4 - 15*f**2 - 1/4*f**5 + 0 + 3/2*f**3 + 0*f. What is d in y(d) = 0?
-1, 3/5
Determine w so that -809/11*w**2 - 4/11*w**4 + 117/11*w**3 - 705/11*w + 225/11 = 0.
-1, 1/4, 15
Let r(y) be the first derivative of y**3 + 69*y**2 - 141*y - 278. Factor r(g).
3*(g - 1)*(g + 47)
Let i(t) be the first derivative of t**3/9 + 13*t**2/6 + 22*t/3 - 124. Solve i(q) = 0.
-11, -2
Let x = -5547 - -5550. Find s, given that -3/2 + x*s - 3/2*s**2 = 0.
1
Let k(l) = l**3 - 2*l**2 + 2*l + 1. Let q be k(2). Suppose 4*f = 5*j + 17 + 16, q*f = 4*j + 30. Determine t so that -3*t**f - 2*t + t + t**2 + 4 - t = 0.
-2, 1
Let z = 52/135 - -2/135. Let x(t) be the second derivative of 1/15*t**3 + 0 + 4*t + 1/30*t**4 - z*t**2. Factor x(q).
2*(q - 1)*(q + 2)/5
Let f(c) = -c**4 - c**3 - 2*c - 1. Let v(u) = u**5 + 3*u**4 + 3*u**3 + 11*u**2 + 6*u + 6. Let s(r) = 6*f(r) + v(r). Determine l so that s(l) = 0.
-2, 0, 1, 3
Let v(c) be the third derivative of 0 - 1/630*c**7 + 1/180*c**5 + 0*c**3 - 1/1008*c**8 + 0*c**4 + 6*c**2 + 1/360*c**6 + 0*c. What is r in v(r) = 0?
-1, 0, 1
Find y such that 0 + 0*y + 5/7*y**2 - 1/7*y**3 = 0.
0, 5
Let f(r) = -2*r**2 + 2*r + 4. Let z(j) = -3*j**2 + j + 4. Let d(i) = -f(i) + z(i). Factor d(p).
-p*(p + 1)
Determine f so that 474 - 294 - 9*f + 5*f - 2*f**2 + 2*f = 0.
-10, 9
Let w be (3 + (-488)/(-12))*(-1 + -1). Let s = w - -88. Determine d so that -2/3 + s*d**3 - 2*d**2 + 2*d = 0.
1
Find h, given that 10/3 + 8/3*h - 2/3*h**2 = 0.
-1, 5
Let t(x) be the second derivative of 0 - 1/70*x**5 + 1/14*x**4 + 0*x**2 - 3*x - 2/21*x**3. Factor t(s).
-2*s*(s - 2)*(s - 1)/7
Factor -4714*f**2 - 2197*f**3 - 1370*f**2 - 5616*f - 101 - 1627.
-(13*f + 12)**3
Let d be 4/3 + 12/(-9). Let w(r) be the third derivative of -4*r**2 + d + 1/4*r**4 + 0*r + 0*r**3 + 9/20*r**5. Find t, given that w(t) = 0.
-2/9, 0
Let q be ((-4)/(-15))/(210/315). Suppose 1/5*s + q - 1/5*s**2 = 0. Calculate s.
-1, 2
Let c = 61/33 + -13/11. Find a such that 1/6*a**2 - c*a + 1/2 = 0.
1, 3
Let z(j) be the second derivative of -16*j - 2/3*j**3 + 0 - 1/3*j**4 + 4*j**2. Factor z(v).
-4*(v - 1)*(v + 2)
Factor -3/8*n**2 - 351/4*n - 699/8.
-3*(n + 1)*(n + 233)/8
Let v(w) be the first derivative of w**4/20 + 8*w**3/15 + 2*w**2 + 16*w/5 - 74. Suppose v(f) = 0. What is f?
-4, -2
Let g(h) be the second derivative of h**9/30240 - h**8/6720 + h**7/5040 - 11*h**4/12 + h**3/3 + 4*h - 3. Let x(y) be the third derivative of g(y). Factor x(q).
q**2*(q - 1)**2/2
Suppose -2*b = 2*a, 27*b + 6 = -3*a + 22*b. Solve -28561/3 - 8788/3*r - 1/3*r**4 - 52/3*r**a - 338*r**2 = 0 for r.
-13
Suppose -42*y = -47*y + 5. Factor -y - g**4 - 303*g**3 + 2*g**2 + 303*g**3.
-(g - 1)**2*(g + 1)**2
Let g(f) be the second derivative of 0 + 2/9*f**2 - 1/9*f**3 + 18*f - 7/90*f**5 - 2/9*f**4. Factor g(y).
-2*(y + 1)**2*(7*y - 2)/9
Let -18/5*m**2 + 2*m + 12/5 + 4/5*m**5 - 14/5*m**3 + 6/5*m**4 = 0. Calculate m.
-2, -1, 1, 3/2
Let y be (5 - 7)/((-30)/(-3) + -4) + 1. Suppose y*k + 0 - 1/9*k**2 = 0. Calculate k.
0, 6
Let n(u) = -2*u**5 - 9*u**4 - 6*u**3 + 43*u**2 - 52*u + 16. Let l(t) = t**5 - t**4 + t**3 + t**2. Let d(f) = 15*l(f) + 3*n(f). What is s in d(s) = 0?
-2, 2/3, 1, 4
Let i(d) be the second derivative of d**6/45 + d**5/2 + 8*d**4/3 - 64*d**3/9 - 83*d. Let i(v) = 0. What is v?
-8, 0, 1
Let c(i) be the second derivative of -3/4*i**5 + 4*i**3 + 0 - 10*i - 2*i**2 + 29/30*i**6 - 3/14*i**7 - 25/12*i**4. Determine l, given that c(l) = 0.
-1, 2/9, 1, 2
Let j be 2/(27/(-12) - -2). Let i = j - -10. Factor -1 + 0*b**2 + 4*b**2 + 0*b - 2*b - 5*b**i.
-(b + 1)**2
Let t(w) = -7*w**3 + 54*w**2 + 30*w + 4. Let x(z) = -z**2 - z - 1. Let o(r) = t(r) - 6*x(r). Let f(m) be the first derivative of o(m). Factor f(s).
-3*(s - 6)*(7*s + 2)
Let s = 6/5 + -7/5. Let h = 8/15 + s. Let 1/3*v**5 + 0 - 2/3*v**4 - h*v**3 + 2/3*v**2 + 0*v = 0. What is v?
-1, 0, 1, 2
Let z(v) be the first derivative of -5/6*v**3 + 0*v + 4 - 5/4*v**2. Factor z(u).
-5*u*(u + 1)/2
Let p = -110851/133 - -5835/7. Find q, given that 0 + p*q**3 + 2/19*q**2 + 0*q = 0.
-1, 0
Let l = 454/27 - 5107/27. Let r = -171 - l. Factor 2/3*w**4 - 8/3*w**3 - r*w + 0 + 10/3*w**2.
2*w*(w - 2)*(w - 1)**2/3
Let d be 2/6 - 42/168*(-12)/(-9). Factor -3/8*b + d + 3/8*b**2.
3*b*(b - 1)/8
Let t = 10733 + -32197/3. Factor -y**2 - 5/3*y - t + 1/3*y**4 + 1/3*y**3.
(y - 2)*(y + 1)**3/3
What is u in 2/11*u**2 + 0 + 8/11*u - 8/11*u**3 - 2/11*u**4 = 0?
-4, -1, 0, 1
Let -3/4*a**2 + 0 - 1/4*a**3 - 1/2*a = 0. Calculate a.
-2, -1, 0
Let k = 7145 - 7142. Suppose -1/2*h**4 + 5/2*h - 5/2*h**2 + k - 5/2*h**3 = 0. Calculate h.
-3, -2, -1, 1
Suppose 8 = 63*w - 59*w. Suppose -2*a - 10 = -a + w*h, 3*a + 10 = -2*h. Find c, given that a + 1/2*c**2 - c = 0.
0, 2
Suppose 3*n - 3*u = 24, 2*n + 8 = -u - 3*u. Find z such that -65*z + 73*z - 3*z**2 - 16*z**3 - z**2 + 12*z**n = 0.
-2/3, 0, 1
Let o(i) = -i**2 - 13*i - 52. Let b be o(-6). Let j be ((-1)/2)/(b/60). Factor -2/3*k**5 + 4/3*k**2 + 2*k - 2*k**4 + 2/3 - 4/3*k**j.
-2*(k - 1)*(k + 1)**4/3
Factor -5/2*h - 1/4*h**2 - 21/4.
-(h + 3)*(h + 7)/4
Suppose 55/2 - 111/2*l + 57/2*l**2 - 1/2*l**3 = 0. Calculate l.
1, 55
Let f(w) be the first derivative of 3*w**4/4 - 111*w**3/2 + 165*w**2/4 - 626. Factor f(k).
3*k*(k - 55)*(2*k - 1)/2
Suppose n - 2 = 2*h, 21*h + 1 = -3*n + 20*h. Let w(p) be the third derivative of n*p + 2*p**2 - 1/4*p**4 + 3/2*p**3 + 1/60*p**5 + 0. Let w(i) = 0. Calculat