+ 3*n - n**2 - n - n**3. Let i(b) = 7*b**3 + 17*b**2 + 7*b. Let a(m) = 6*h(m) - 2*i(m). Suppose a(g) = 0. Calculate g.
-1, -2/5, 0
Let q(b) be the third derivative of b**8/672 + 2*b**7/105 - 19*b**6/240 + b**5/12 + 39*b**2. Solve q(t) = 0.
-10, 0, 1
Find h, given that 384/7*h**3 + 2208/7*h**2 + 36/7 - 570/7*h = 0.
-6, 1/8
Let j(p) be the third derivative of 1/10*p**6 + 1/70*p**7 + 0 + 0*p**3 + 0*p + 1/4*p**5 - 40*p**2 + 1/4*p**4. Suppose j(f) = 0. Calculate f.
-2, -1, 0
Let i be (-5)/3*(-36)/30. Factor 5*u**2 + u**2 - u**i + 15*u.
5*u*(u + 3)
Let u(f) = 4*f + 56. Let b be u(-13). Solve -m**4 + 0*m**4 + 8*m - 7*m + 6*m**2 + m**5 - 3 - 2*m**3 - 2*m**b = 0.
-1, 1, 3
Suppose 0*x + x - 4*r = 44, 3*x + 4*r - 100 = 0. Suppose -h = 11*h - x. Factor 2/5*c + 2/5*c**2 - 2/5*c**h - 2/5.
-2*(c - 1)**2*(c + 1)/5
Let a = 11787/2 - 5893. Factor 3/4*f**2 - a*f + 5/4*f**3 + 0.
f*(f + 1)*(5*f - 2)/4
Let o(q) = q**2 + 3*q + 1. Let d be o(-2). Let f = -9 + 5. Let r(i) = i**4 - i**2 - 1. Let s(b) = 8*b**3 - 8*b + 4. Let u(w) = d*s(w) + f*r(w). Factor u(l).
-4*l*(l - 1)*(l + 1)*(l + 2)
Let r be 120 + (-1 - 2) + (-1)/(-1). Let p = r + -589/5. Factor -d + 2/5 + 4/5*d**2 - p*d**3.
-(d - 2)*(d - 1)**2/5
Let s(t) be the second derivative of -t**3/3 - 5*t**2 - 3*t. Let c be s(-6). Factor c + 3*y + 3*y**2 + 2 + 2 + 6*y.
3*(y + 1)*(y + 2)
Determine a so that -294*a**4 - 92*a**3 - 565*a + 800 - 795*a + 648*a**2 + 600*a**4 - 302*a**4 = 0.
1, 2, 10
Let n(m) = 20*m + 46. Let c(w) = -2*w**2 - 22*w - 45. Let b(q) = -2*c(q) - 3*n(q). Find k such that b(k) = 0.
-2, 6
Let i(k) be the third derivative of -1/72*k**4 + 0*k**3 + 0 - 4*k**2 + 0*k - 1/630*k**7 - 1/120*k**6 - 1/60*k**5. Suppose i(j) = 0. What is j?
-1, 0
Let t(v) = 20*v + 6*v**2 - 4*v + v**3 - 2*v**3 + 0*v**3. Let s be t(8). Suppose -3/4*z**2 + 3/2*z + s = 0. Calculate z.
0, 2
Let q(z) be the third derivative of 1/12*z**5 - 5/24*z**4 - 5/6*z**3 + 0*z + 1/24*z**6 + 0 + 8*z**2. Find m, given that q(m) = 0.
-1, 1
Let p(n) be the second derivative of n**5/10 + 8*n. Let l(x) = x**5 + x**4 - x**2. Let d(s) = 2*l(s) - p(s). Suppose d(v) = 0. What is v?
-1, 0, 1
Suppose 2*i - 5*y = 0, -41*y = -3*i - 36*y. Let d(a) be the first derivative of -2/33*a**3 - 2 - 1/11*a**2 + i*a. Let d(m) = 0. What is m?
-1, 0
Let l(f) be the first derivative of 1 - 2/3*f**3 + 4*f**2 - 8*f. Let l(k) = 0. Calculate k.
2
Let f = -426 - -428. Let g(a) be the third derivative of 0*a - 1/24*a**4 + 0*a**3 + 0*a**5 + 1/120*a**6 + 7*a**f + 0. Factor g(j).
j*(j - 1)*(j + 1)
Let n = -1372/9 + 1402/9. What is q in 2/3*q**2 - n*q**4 + 8/3 - 2/3*q**5 + 16/3*q - 14/3*q**3 = 0?
-2, -1, 1
Let z be (-4)/6 + 17/3. Let o be 0/((-18)/12*8/6). Factor -3*p**z + 3*p**3 + p + o*p - p.
-3*p**3*(p - 1)*(p + 1)
Let x(g) be the third derivative of 0*g - 1/210*g**5 + 2/7*g**3 - 5/84*g**4 - 32*g**2 + 0. Factor x(p).
-2*(p - 1)*(p + 6)/7
Let y(m) = 22*m**2 - 66*m - 144. Let r(x) = -8*x**2 + 22*x + 48. Let b(p) = -14*r(p) - 5*y(p). Factor b(j).
2*(j + 3)*(j + 8)
Factor -72/17*a**2 + 0*a + 2/17*a**4 + 0 - 10/17*a**3.
2*a**2*(a - 9)*(a + 4)/17
Suppose -3*x + 21 = -3*l, 4*x - 24 = -5*l + 22. Find s such that -l*s**3 + 2/3*s**2 + 8/3 + 16/3*s = 0.
-1, -2/3, 2
Let p(x) = -x**2 - 40*x + 14. Let i(h) = -2*h - 2. Let g(a) = -7*i(a) - p(a). Factor g(j).
j*(j + 54)
Let i(l) be the first derivative of -l**7/140 - 3*l**6/80 + l**5/40 + 3*l**4/16 - 10*l**2 - 6. Let f(g) be the second derivative of i(g). Factor f(d).
-3*d*(d - 1)*(d + 1)*(d + 3)/2
Determine g, given that -2*g**2 - 247 + g**4 - 4*g**3 + g**2 + 247 + 5*g**2 = 0.
0, 2
Suppose 0 = -7*o - 1 + 1. Let h(s) = -2*s + 3. Let k be h(o). Factor w**k + 1/2*w**4 + 0 - 1/2*w**2 - w.
w*(w - 1)*(w + 1)*(w + 2)/2
Suppose -1 = p - 4. Factor 4 - y - p*y + 4*y + 2*y**2 + 6*y.
2*(y + 1)*(y + 2)
Let s(i) = 2*i**2 - 28*i - 30. Let f(p) = -2*p - 2. Let l(x) = -2*f(x) - s(x). Factor l(y).
-2*(y - 17)*(y + 1)
Let y(a) = a**2 - 4*a - 2. Let z be y(5). Let i(b) be the first derivative of 0*b**2 + 1/6*b**4 + 4/9*b**z + 0*b - 2. Factor i(m).
2*m**2*(m + 2)/3
Let c(i) be the first derivative of i**5 + 15*i**4/4 - 5*i**3/3 - 15*i**2/2 + 57. What is s in c(s) = 0?
-3, -1, 0, 1
Let n(d) be the third derivative of -d**8/336 - d**7/30 + 7*d**6/30 - d**5/3 + 659*d**2. Factor n(o).
-o**2*(o - 2)*(o - 1)*(o + 10)
Factor 0*h + 3*h**2 + 0 - 27/4*h**5 + 45/2*h**4 + 69/4*h**3.
-3*h**2*(h - 4)*(3*h + 1)**2/4
Suppose -5*u - 35 = -0. Let p be (-4)/28 + (-64)/u. Let -y**3 + 12*y**4 + 16*y - 4*y**3 + p*y**3 - 32*y**2 = 0. What is y?
-2, 0, 2/3, 1
Let o(p) be the second derivative of -3*p**5/140 + 3*p**4/7 - 11*p**3/14 - 12*p + 10. Factor o(y).
-3*y*(y - 11)*(y - 1)/7
Let y(k) be the third derivative of 5*k**8/336 - k**7/14 + k**6/8 - k**5/12 + 14*k**2 + 3*k. Factor y(n).
5*n**2*(n - 1)**3
Let y(g) be the second derivative of -g**4/6 + 86*g**3/3 - 1849*g**2 + 86*g. What is v in y(v) = 0?
43
Let s(h) be the first derivative of h**3 - 12*h + 63. Factor s(n).
3*(n - 2)*(n + 2)
Let h(l) be the third derivative of -26*l**2 + 0 + 0*l**5 - 3/16*l**4 + 0*l + 1/80*l**6 - 1/2*l**3. Factor h(p).
3*(p - 2)*(p + 1)**2/2
Suppose 10 = 7*t - 2*t. Let 11 + 6*b**3 + b**4 - 3 + 13*b**t + 12*b - 4 = 0. What is b?
-2, -1
Suppose v - p = -7, -2*p = -2*v + 2*p - 16. Let s = v - -11. Factor f**2 - 5*f**s - f**4 + 4*f**5 + 2*f**3 - f**3.
-f**2*(f - 1)*(f + 1)**2
Let j(k) be the second derivative of -k**6/120 + k**5/15 - k**4/8 + 5*k**2/2 - 10*k. Let v(w) be the first derivative of j(w). Find m such that v(m) = 0.
0, 1, 3
Let h(a) = -8*a**3 + 88*a**2 - 372*a + 408. Let m(j) = -10*j**3 + 88*j**2 - 376*j + 408. Let z(t) = -3*h(t) + 2*m(t). Find o, given that z(o) = 0.
2, 3, 17
Let k be ((-37)/(-666))/((-4)/(-12)). Let f(m) be the second derivative of 1/12*m**4 - k*m**3 + 0 + 0*m**2 - 5*m. Let f(p) = 0. Calculate p.
0, 1
Let f(h) be the third derivative of h**8/5376 + h**7/2016 - 3*h**4/4 - 10*h**2. Let n(k) be the second derivative of f(k). What is i in n(i) = 0?
-1, 0
Factor 3*x**2 - 72*x - 3 - 1 - 4*x**3 + 76*x + 0*x**3 + x**2.
-4*(x - 1)**2*(x + 1)
Let u(v) = -9*v**3 + 36*v**2 - 31*v + 11. Let k(m) = -6*m**3 + 24*m**2 - 20*m + 7. Let h(j) = 7*k(j) - 5*u(j). Factor h(d).
3*(d - 2)*(d - 1)**2
Suppose -4*d + 28 = -d + 4*k, 12 = 3*k. Determine m, given that -2*m - 1 - 5*m**2 - 8*m - d = 0.
-1
Let i(v) = -3*v**2 + 132*v - 250. Let n be i(42). Factor 1/4*l**n - 1/4 - l**3 + l.
-(l - 1)*(l + 1)*(4*l - 1)/4
Let i(z) = 17*z**4 + 13*z**3 - 59*z**2 - 34*z + 10. Let g(v) = 6*v**4 + 5*v**3 - 20*v**2 - 11*v + 4. Let o(r) = -11*g(r) + 4*i(r). Factor o(a).
(a - 4)*(a + 1)**2*(2*a + 1)
Let i(o) be the third derivative of 2*o**7/105 + 19*o**6/15 + 64*o**5/3 - 400*o**4/3 + 16*o**2 + 11. Factor i(s).
4*s*(s - 2)*(s + 20)**2
Let g be ((-6)/(-9))/((-11)/(-132)). Let w(v) = v**3 - 6*v**2 - 16*v + 2. Let k be w(g). Factor l**4 + 0*l + 0 - 1/2*l**3 - l**k + 1/2*l**5.
l**2*(l - 1)*(l + 1)*(l + 2)/2
Let j(d) = 9*d**3 - 150*d**2 + 6. Let a(y) = -7*y**3 + 150*y**2 - 5. Let s(x) = -6*a(x) - 5*j(x). Solve s(i) = 0 for i.
-50, 0
Let d(r) be the third derivative of -r**5/20 - 3*r**4/2 - 11*r**3/2 - 73*r**2 + 1. Factor d(h).
-3*(h + 1)*(h + 11)
What is f in 0*f**4 + 0 - 81/2*f**3 + 3/2*f**5 - 36*f - 75*f**2 = 0?
-4, -1, 0, 6
Let i(u) be the third derivative of 24*u**2 - 32/15*u**3 + 1/20*u**5 + 2/5*u**4 + 0 + 1/600*u**6 + 0*u. Find n, given that i(n) = 0.
-8, 1
Let h(u) = u**2 - 4*u + 2. Let d(k) = 1. Suppose 8*j - 7 = j. Let s(b) = j*d(b) + h(b). Determine v, given that s(v) = 0.
1, 3
Suppose 5*u + l = -139, -3*l + 4*l = -u - 31. Let n be 1/(-3) + (-9)/u. Factor n + 0*w + 1/4*w**2 - 1/4*w**3.
-w**2*(w - 1)/4
Suppose 5*f - 8*f = 40*f - 172. Factor 8/7*t - 6/7 - 8/21*t**3 + 4/21*t**2 - 2/21*t**f.
-2*(t - 1)**2*(t + 3)**2/21
Let s = -10017 + 10019. Let -2/3*d**2 + 8/3 - s*d = 0. What is d?
-4, 1
What is n in -748*n + 3*n**3 - 1390*n - 17405 + 585*n**2 + 2*n**3 + 18953*n = 0?
-59, 1
Suppose 4*a = -3*w - 3*a + 3*a, 4*a = 0. Let q(i) be the third derivative of w + 0*i**3 + 0*i - 1/84*i**4 - 1/210*i**5 + 4*i**2. Factor q(z).
-2*z*(z + 1)/7
Let d(x) be the third derivative of -x**6/1620 + x**4/108 + 2*x**3/3 + 20*x**2. Let o(y) be the first derivative of d(y). What is t in o(t) = 0?
-1, 1
Suppose 38/5*h**3 + 2/5*h**4 + 32*h**2 - 40*h + 0 = 