 + 8. Let w(g) = 4*d(g) - 5*i(g). Factor w(c).
-4*c*(c - 1)*(c + 2)*(c + 5)
Let s(b) be the second derivative of -b**5/170 + 5*b**4/34 - 13*b**3/17 - 55*b**2/17 + 714*b. Factor s(z).
-2*(z - 11)*(z - 5)*(z + 1)/17
Let u be 6/1 - 316/(-20). Let y = u - 21. Factor 0 - y*d + 0*d**2 + 3/5*d**3 - 1/5*d**4.
-d*(d - 2)**2*(d + 1)/5
Let j(b) be the third derivative of b**7/105 + 2*b**6/15 + 11*b**5/30 - 5*b**4/3 + b**2 + 238*b. Factor j(x).
2*x*(x - 1)*(x + 4)*(x + 5)
Let f = 45718/7 - 6531. What is h in 0 - 1/7*h**4 + 5/7*h**2 + f*h**3 + 3/7*h = 0?
-1, 0, 3
Let o(c) be the second derivative of -7*c**5/100 - c**4/12 + 43*c**3/15 - 12*c**2/5 - 366*c. Determine s so that o(s) = 0.
-4, 2/7, 3
Solve 0 + 0*z + 1/2*z**2 - 1/4*z**4 - 1/4*z**3 = 0 for z.
-2, 0, 1
Let d(c) = 2 + 13 - 3*c + 38. Let h be d(17). Suppose 0*y**h - 2/5*y + 2/5*y**3 - 1/5 + 1/5*y**4 = 0. What is y?
-1, 1
Let 17*w**2 + 120 - 13816*w**4 + 24 + 13820*w**4 - 69*w**2 = 0. Calculate w.
-3, -2, 2, 3
Let m(c) be the first derivative of 3*c**5/10 + 387*c**4/4 + 16381*c**3/2 - 25155*c**2 + 25350*c + 427. Factor m(x).
3*(x - 1)**2*(x + 130)**2/2
Factor -3*k + 1 + 1/4*k**4 - 3/2*k**3 + 13/4*k**2.
(k - 2)**2*(k - 1)**2/4
Let z = -1378 - -5515/4. Factor 9/4*l**2 + 9/4*l + 3/4*l**3 + z.
3*(l + 1)**3/4
Let a(m) = 3*m**4 + 2*m**3 + 2*m**2 + 3. Let n(l) = -2*l**4 - l**2 - l - 1. Let y(j) = 5*a(j) + 10*n(j). Suppose y(w) = 0. What is w?
-1, 1
Let f(g) be the third derivative of 0*g**3 + 12*g**2 + 0*g + 0 + 5/24*g**4 + 1/36*g**5. Solve f(u) = 0 for u.
-3, 0
Let d = -761/24 + 255/8. Let t(c) be the first derivative of 2/15*c**5 + 0*c + 4/9*c**3 - 5 - 5/12*c**4 - d*c**2. Factor t(h).
h*(h - 1)**2*(2*h - 1)/3
Let w be -1 + 1 + 6 + -1. Suppose -15 = -6*f + f. Determine j so that 0*j**4 + 3*j**3 - 3*j**4 + f*j**2 - 7*j**5 + j**w + 3*j**5 = 0.
-1, 0, 1
Let k(b) be the third derivative of -1/132*b**4 + 13*b**2 + 0 + 0*b + 0*b**3 + 1/165*b**5 - 1/660*b**6. Factor k(t).
-2*t*(t - 1)**2/11
Suppose -5*a = o - 6, -4*o = 20 - 4. Factor 16 + 63*m + 5*m**a - 6 - 48*m.
5*(m + 1)*(m + 2)
Let w(k) be the second derivative of -k**6/285 + k**5/190 + k**4/114 - k**3/57 + 2*k + 1. Factor w(x).
-2*x*(x - 1)**2*(x + 1)/19
Let r(c) be the third derivative of 0*c - 1/24*c**6 + 26*c**2 + 5/24*c**4 + 5/3*c**3 - 1/6*c**5 + 0. Factor r(z).
-5*(z - 1)*(z + 1)*(z + 2)
Let u(h) = 5*h**2 - 24*h - 5. Let l be u(5). Let x(i) be the first derivative of l*i + 0*i**3 - 1/14*i**4 + 1/42*i**6 + 0*i**5 + 1/14*i**2 - 1. Factor x(s).
s*(s - 1)**2*(s + 1)**2/7
Suppose -2*x = -0*x - 4. Let m(v) = v + 2. Let j be m(x). Suppose -p**5 + 3*p**4 + 0*p**j - 2*p**4 = 0. Calculate p.
0, 1
Suppose 2*b - 3*u - 4 = 0, -5*u = -4*b - 6*u + 8. Let m(w) be the first derivative of 3/2*w**2 - b*w + 2 - 1/3*w**3. Find v, given that m(v) = 0.
1, 2
Let z(x) be the first derivative of -x**6/300 + x**4/20 - 2*x**3/15 - 4*x**2 + 12. Let y(i) be the second derivative of z(i). Factor y(b).
-2*(b - 1)**2*(b + 2)/5
Let d(b) be the second derivative of -10*b + 0 - 5*b**2 - 1/6*b**6 - 35/6*b**3 - 5/4*b**5 - 15/4*b**4. What is z in d(z) = 0?
-2, -1
Let c be (0 + -1 - 0)*-2. Suppose 34*t + 24 = 40*t. Determine z so that -z**2 + t*z**c - 9*z**2 - 12*z**3 - 2*z**2 = 0.
-2/3, 0
Let i(j) be the first derivative of -3*j**4/4 + 2*j**3 - 8. Factor i(x).
-3*x**2*(x - 2)
Let s(p) be the third derivative of 0 - 9/50*p**5 + 4/5*p**3 - 4*p**2 + 1/40*p**6 + 3/10*p**4 + 0*p. What is b in s(b) = 0?
-2/5, 2
Let x(k) = 32*k**4 + 32*k**3. Let w(a) = a**5 - 32*a**4 - 33*a**3. Let y(f) = 4*w(f) + 5*x(f). Factor y(q).
4*q**3*(q + 1)*(q + 7)
Let t be (-1 + (-27)/(-3))/(-1). Let q(c) = c**2 + 7*c + 8. Let l be q(t). Factor 4 - 4*s**2 - l - 3*s**2 - 2*s**2 - 15*s**3 + 36*s.
-3*(s - 1)*(s + 2)*(5*s - 2)
Let q(i) be the first derivative of 2/7*i**2 - 12 + 1/7*i - 5/21*i**3. Factor q(z).
-(z - 1)*(5*z + 1)/7
Suppose -2*v - 3 = 9. Let o be (1/3)/(v/(-36)). Solve 6*h**2 - 2*h**2 - 5*h**o - h = 0.
-1, 0
Suppose j - 23 = 3*j - o, -4*o - 38 = 5*j. Let m be 6/(-30) + (-2)/j. Factor 1/2*g - g**4 + m - 1/2*g**5 + 0*g**3 + g**2.
-g*(g - 1)*(g + 1)**3/2
Let o be (-32)/(-10) + 1 - (-120)/(-100). Factor -9*w**2 - 1/4 + o*w.
-(6*w - 1)**2/4
Let w(j) = 4 - 3*j**2 - 15 + 4*j**2 + 3*j - 9*j. Let q be w(8). Let 50*d**q - 9*d**2 + 140*d**4 + 76*d**3 + 12*d**3 + 25*d**2 = 0. Calculate d.
-2, -2/5, 0
Let j(u) = -35*u**3 - 75*u**2 + 40*u - 25. Let r(w) = -w**3 - 2*w**2 + w - 1. Let m(p) = j(p) - 25*r(p). Determine n, given that m(n) = 0.
-3, 0, 1/2
Let v(d) be the second derivative of d**4/24 - d**2/4 + 114*d. Let v(l) = 0. What is l?
-1, 1
Let q(u) be the third derivative of 5*u**8/336 + 5*u**7/42 + u**6/3 + u**5/3 - u**2 + 63*u. Let q(x) = 0. What is x?
-2, -1, 0
Let m(d) be the third derivative of -1/180*d**5 + 1/72*d**4 - 1/360*d**6 + 1/630*d**7 + 0 - 19*d**2 + 0*d + 0*d**3. Let m(h) = 0. What is h?
-1, 0, 1
Determine g so that 15*g + 30*g - 15 - 3*g**2 - 5*g**5 + 22*g - 67*g**2 + 30*g**3 - 12*g + 5*g**4 = 0.
-3, 1
Let h be (3/(-42)*-4)/((360/(-35))/(-8)). Let 0 + 2/3*u**4 - 16/9*u**2 + 8/9*u + h*u**3 = 0. Calculate u.
-2, 0, 2/3, 1
Let r(d) be the third derivative of -d**5/330 + 2*d**4/33 - 5*d**3/11 - 7*d**2 - 2*d. Factor r(v).
-2*(v - 5)*(v - 3)/11
Let a = 154/57 - 656/285. Find k such that -2/5*k**4 + 2*k**2 + 0 - 6/5*k - a*k**3 = 0.
-3, 0, 1
Suppose 435*m**2 + 5*m**4 + 560 + 25*m**4 + 80*m**3 + 2*m**4 + 920*m - 27*m**4 = 0. What is m?
-7, -4, -1
Let s(n) = 5*n**2 + 2*n. Let c be s(-1). Let i be 18/(-15)*(-140)/c. Suppose 54*m**3 - 5*m**4 - 2*m + 4*m - i*m**3 + 5*m**2 = 0. What is m?
-1, -2/5, 0, 1
Let v be 4028/804 - (1 - -4). Let c = 1801/804 + v. Factor -3/2 - c*u**2 - 15/4*u.
-3*(u + 1)*(3*u + 2)/4
Let m be ((-3)/6)/(2/8). Let b(y) = y**2 + 2*y + 3. Let n be b(m). Factor 2/13*w**4 + 0*w - 2/13*w**2 + 2/13*w**n + 0 - 2/13*w**5.
-2*w**2*(w - 1)**2*(w + 1)/13
Let -3/2 - 9/2*y - y**3 - 13/3*y**2 + 1/2*y**4 + 1/6*y**5 = 0. Calculate y.
-3, -1, 3
Let v(p) be the first derivative of 6/5*p**3 - 16/5*p - 26 + 34/5*p**2. Factor v(q).
2*(q + 4)*(9*q - 2)/5
Suppose -l = -11*l - 7*l. Determine p, given that -1/11*p**3 + 0*p + 0 - 4/11*p**4 + l*p**2 = 0.
-1/4, 0
Suppose 19 = 5*b - 6. Factor 0*s - s**4 - 6*s**3 - 6*s**2 + 3*s - s**4 - b*s.
-2*s*(s + 1)**3
Find j, given that -141*j**3 + 78*j - 9*j**5 + 48*j**4 + 84*j**4 - 3*j**4 - 201*j**2 = 0.
-1, 0, 1/3, 2, 13
Let b(i) = 2*i**3 - 20*i**2 - 41*i - 19. Let z(r) = 2*r**3 - 20*r**2 - 40*r - 18. Let j(m) = 6*b(m) - 5*z(m). Suppose j(p) = 0. What is p?
-1, 12
Suppose -2*x - 3*x = -4*q - 106, 4*q + 104 = 4*x. Let p = 26 + q. Determine i, given that 6/5 + 2/5*i**p - 2*i + 2/5*i**3 = 0.
-3, 1
Let k(g) = -7*g**3 - 20*g**2 + 49*g - 25. Let u(z) = 10*z**3 + 20*z**2 - 50*z + 24. Let t(n) = 4*k(n) + 3*u(n). Factor t(f).
2*(f - 7)*(f - 2)*(f - 1)
Let f(q) = 13*q + 130. Let d be f(-10). Let m(j) be the third derivative of 3*j**2 + 1/15*j**5 + 0*j - 1/60*j**6 - 1/12*j**4 + 0 + d*j**3. Factor m(s).
-2*s*(s - 1)**2
Suppose -2040 = -u - 9*u. Find k such that -93 - 448*k**2 + 29 - 47*k**4 + 101*k + u*k**3 + 19*k**4 + 235*k = 0.
2/7, 1, 2, 4
Suppose 35 = o - 5*l, -3*l - 90 = -69. Factor o + 1/10*x**4 - 1/10*x**5 + 0*x + 0*x**2 + 1/5*x**3.
-x**3*(x - 2)*(x + 1)/10
Let i(y) = -11*y**4 + 18*y**3 - 10*y**2. Let d(c) = -c**4 + c**3 - c**2. Let w(p) = 30*d(p) - 5*i(p). Solve w(q) = 0.
0, 2/5, 2
Let b(p) = -7*p**3 - 5*p**2 + 13*p - 13. Let o(k) = k**3 + 1. Let y(n) = b(n) + 6*o(n). Factor y(z).
-(z - 1)**2*(z + 7)
Suppose 3*q + 2*q - 10 = 0. Let x be (-2)/(-5)*(11 - (10 - 4)). Solve 15*f**3 - 36*f - 2*f**x - 12 - 3*f**2 - 2*f**q - 2*f**2 = 0 for f.
-1, -2/5, 2
Let q(r) be the second derivative of r**7/210 - r**6/10 + 11*r**5/20 + r**4/4 - 20*r**3/3 - 72*r**2/5 - 991*r. Determine i so that q(i) = 0.
-1, 4, 9
Suppose 92*j - 2*j**3 + 4*j**4 - 84*j + 20*j**2 + 10*j**3 + 8*j**3 = 0. Calculate j.
-2, -1, 0
Suppose 7*g + 117 = -226. Let s = 52 + g. Solve -3/2*u**2 + 0 - u - 1/2*u**s = 0.
-2, -1, 0
Let l(u) = u**4 + u**3 + u**2 - u - 1. Let r(t) = -5*t**5 + 10*t**4 + 60*t**3 + 210*t**2 + 105*t - 30. Let z(m) = -30*l(m) + r(m). Find j such that z(j) = 0.
-3, -1, 0, 3
Let t = -42 + 71. Suppose -4*a + t = 5*r, 2*r = r + 2*a + 3. Solve -3*n**4 - 48*n + 6*n**2 - 63*n**r - 15*n**2 - 4 + 111*n**3 + 16 = 0 for n.
-1,