 that d(h) = 0.
-1/3
Let w be -27 - -26 - (-14)/12. Determine z, given that 1/6*z**4 + 1/3*z**3 + 0*z**2 - w - 1/3*z = 0.
-1, 1
Let c(g) = -g**3 - 10*g**2 - 9*g + 2. Let h be c(-9). Factor 5*b**3 - 4*b**3 + b**h - b**3 - b**4.
-b**2*(b - 1)*(b + 1)
Let j(u) be the third derivative of u**9/12096 - u**8/6720 - u**7/1680 - u**3/6 + 10*u**2. Let r(n) be the first derivative of j(n). Factor r(c).
c**3*(c - 2)*(c + 1)/4
Let n(u) be the first derivative of 0*u**2 - 12/5*u - 9 + 1/5*u**3. Factor n(z).
3*(z - 2)*(z + 2)/5
Suppose 4*o + 4*b = 5*o - 10, 0 = 2*o + 3*b + 2. Let s(v) = v + 2. Let a be s(-2). Let 1/4*z**3 + 0*z + a*z**o + 0 - 1/4*z**4 = 0. What is z?
0, 1
Let j(c) be the second derivative of -c**9/45360 + c**8/10080 + c**7/7560 - c**6/1080 + 3*c**4/4 + c. Let s(b) be the third derivative of j(b). Factor s(k).
-k*(k - 2)*(k - 1)*(k + 1)/3
Let u(s) be the second derivative of s**6/15 - 2*s**5/5 + 5*s**4/6 - 2*s**3/3 - 22*s. Factor u(a).
2*a*(a - 2)*(a - 1)**2
Suppose i + 4*t + 4 = 4*i, -t - 2 = -i. Factor -i*u + 5*u + 3 + 0*u**2 + u**2 - 5*u.
(u - 3)*(u - 1)
Let f = 9 - 7. Let m(d) be the second derivative of 1/10*d**f + 1/60*d**4 + 1/15*d**3 + d + 0. Determine a so that m(a) = 0.
-1
Let a(d) be the second derivative of d**7/3 + 2*d**6/15 - 7*d**5/10 - d**4/3 + 3*d. Determine m, given that a(m) = 0.
-1, -2/7, 0, 1
Factor -1/5*o**5 + 0 - 1/5*o**3 + 0*o**2 + 0*o - 2/5*o**4.
-o**3*(o + 1)**2/5
Let t(c) be the third derivative of c**6/240 + c**5/40 + c**4/16 - c**3/6 - 8*c**2. Let q(y) be the first derivative of t(y). Solve q(g) = 0.
-1
Let h(c) = -c + 3. Let y be h(5). Let f be 1/1*0/y. Determine q, given that 0*q + 6/5*q**4 + 0 + f*q**2 - 2/5*q**3 = 0.
0, 1/3
Let a be ((-25)/(-8) + -3)*(9 + -3). Factor 3/4*u**2 + 0 + 1/4*u**4 - a*u**3 - 1/4*u.
u*(u - 1)**3/4
Suppose 0 = -2*i + 4 - 0. Factor 0*n**i + n**2 + 2*n**2 - n**2.
2*n**2
Let t = -91 - -171. Let u be (1 + -2)/((-20)/t). Suppose -2/5*o**5 + 8/5*o**2 - 6/5*o**3 - 8/5*o**u + 0 + 8/5*o = 0. What is o?
-2, -1, 0, 1
Suppose 156*v - 158*v = -4. Let 2*o**2 + 0 - 1/2*o**3 - v*o = 0. Calculate o.
0, 2
Let s(w) be the first derivative of 10*w**3/3 + 3*w**2/2 - 19. Solve s(n) = 0 for n.
-3/10, 0
Let l = -90479/80 + 1131. Let n(k) be the third derivative of -l*k**5 + 1/6*k**3 + 0*k + 0 + 0*k**4 - 2*k**2 + 1/480*k**6. Find j such that n(j) = 0.
-1, 2
Suppose 2*p - 1 + 7 = 0. Let x(l) = -2 - 8*l**2 - l**3 + 0*l + 9*l - l**2. Let a(t) = 2*t**3 + 26*t**2 - 26*t + 6. Let z(i) = p*a(i) - 8*x(i). Factor z(v).
2*(v - 1)**3
Let u(w) be the third derivative of -w**8/168 + w**7/105 + w**6/60 - w**5/30 - 20*w**2. Let u(s) = 0. What is s?
-1, 0, 1
Let v(f) be the first derivative of f**6/18 + 2*f**5/5 + f**4 + 8*f**3/9 - 18. Factor v(r).
r**2*(r + 2)**3/3
Let l = 2/123 - -13/41. Let u(q) be the second derivative of -2/7*q**2 + 2*q + 0 + l*q**3 - 4/21*q**4 + 3/70*q**5. Factor u(z).
2*(z - 1)**2*(3*z - 2)/7
Let v(u) be the third derivative of u**5/30 - 3*u**4/4 + 8*u**3/3 - 25*u**2. Factor v(h).
2*(h - 8)*(h - 1)
Factor 2/7*f - 22/7*f**2 + 10*f**3 - 50/7*f**4 + 0.
-2*f*(f - 1)*(5*f - 1)**2/7
Let l(v) = 16*v**2 + 4*v - 36. Let y be (-1)/(1 - 0/(-4)). Let q(f) = -f**2 - f + 1. Let h(c) = y*l(c) - 20*q(c). Solve h(r) = 0.
-2
Let h = 23 - 20. Let t(q) be the third derivative of 0*q**4 + 1/525*q**7 + 0*q**6 + 0 + 1/15*q**h + 0*q - 1/75*q**5 + 2*q**2. Factor t(p).
2*(p - 1)**2*(p + 1)**2/5
Let w = 7 - 5. Factor 2 - 9*q**3 - 13*q + 19*q**2 - 3*q**2 - q**w + 9*q**2.
-(q - 2)*(3*q - 1)**2
Factor 2/5*q**3 + 0*q + 0 + 2/5*q**2.
2*q**2*(q + 1)/5
Let o be 1/2 + 70/(-4). Let b(m) = 98*m**3 + 56*m**2 + 8*m - 6. Let g(z) = 294*z**3 + 168*z**2 + 24*z - 17. Let w(c) = o*b(c) + 6*g(c). Solve w(k) = 0.
-2/7, 0
Suppose 0*o**3 + 2*o**2 + 2*o**3 + 2*o**3 = 0. Calculate o.
-1/2, 0
Let j(p) be the first derivative of -p**6/33 - 18*p**5/55 - 15*p**4/11 - 92*p**3/33 - 3*p**2 - 18*p/11 - 9. Factor j(r).
-2*(r + 1)**3*(r + 3)**2/11
Let x(w) be the second derivative of -w**5/50 + w**4/15 + w**3/15 - 2*w**2/5 + 16*w. Factor x(f).
-2*(f - 2)*(f - 1)*(f + 1)/5
Factor -225*h - 50*h**3 - 14*h**2 - 31*h**2 - 375 + 47*h**3.
-3*(h + 5)**3
Let y be ((-3)/(-9))/(1/6). Let o be (0 + y)/((-1)/(-2)). Factor -2 - 8*l**5 - 44*l**2 - 24*l**o - 16*l - 2*l**4 - 8*l**4 - 56*l**3.
-2*(l + 1)**4*(4*l + 1)
Let o(p) = 8*p**4 - 9*p**3 - 6*p**2 + 7. Let i(t) = -t**4 + t**3 + t**2 - 1. Let m(g) = -14*i(g) - 2*o(g). Determine f, given that m(f) = 0.
0, 1
Factor 5/4*j**5 - 5 - 5/4*j**2 + 10*j - 25/4*j**3 + 5/4*j**4.
5*(j - 1)**3*(j + 2)**2/4
Let z(l) be the second derivative of l**7/63 - l**6/15 + l**5/15 + l**4/9 - l**3/3 + l**2/3 - 7*l. Find d such that z(d) = 0.
-1, 1
Let z be ((-1000)/(-24))/((-4)/(-18)). Let t = 191 - z. Determine p so that 0 - 2*p + t*p**3 + 6*p**2 = 0.
-2, 0, 2/7
Factor -2/5*t**2 - 4/5*t + 0.
-2*t*(t + 2)/5
Let z = 18 - 16. Solve 0*h + h**3 + 0 + 1/2*h**4 + 1/2*h**z = 0 for h.
-1, 0
Determine a so that -3*a**2 + 2 + a**2 + 2*a + 0*a + 184*a**3 - 186*a**3 = 0.
-1, 1
Let s = 0 - -1. Let g(b) = b + 1. Let q be g(s). Factor a**2 - a - 3*a + q*a.
a*(a - 2)
Let w(k) = 3*k**3 - 3*k**2 + 6. Let t(h) = -h**2 + 1. Let j be 6 - 0/(-3 + 0). Let m(y) = j*t(y) - w(y). Let m(q) = 0. What is q?
-1, 0
Suppose 2*r - 2*x = -7*x, -4*r - 2*x + 16 = 0. Factor 4/3*u**2 + 2*u + 2/3 - 2*u**4 - 2/3*u**r - 4/3*u**3.
-2*(u - 1)*(u + 1)**4/3
Let o(a) be the first derivative of -8*a**3/5 + 11*a**2/5 - 4*a/5 + 16. Let o(s) = 0. Calculate s.
1/4, 2/3
Let t = -56 + 393/7. Find y, given that 0 - t*y**2 + 3/7*y = 0.
0, 3
Solve -88 - 12 - 22*q - 4*q**2 + 62*q = 0.
5
Let x(c) = -4*c**3 + 3*c + 4. Let g(t) = -5*t**3 + t**2 + 4*t + 4. Let r(n) = -3*g(n) + 4*x(n). Factor r(l).
-(l - 1)*(l + 2)**2
Find d such that -2 + 1/4*d**2 - 7/4*d = 0.
-1, 8
Let i(p) = 3*p**4 + 5*p**3 - 11*p**2 - 10*p + 8. Let v(j) = -8*j**4 - 16*j**3 + 32*j**2 + 30*j - 24. Let n(m) = -14*i(m) - 5*v(m). Factor n(k).
-2*(k - 4)*(k - 1)**2*(k + 1)
Factor -4*a + 0*a**3 - 2*a**2 + 4*a**3 - 2*a**3.
2*a*(a - 2)*(a + 1)
Let d(p) be the second derivative of p**4/12 - p**3/3 - 5*p. Factor d(y).
y*(y - 2)
Let h be (2/(-5))/(6/(-5)). Let o(t) be the second derivative of 0 - h*t**3 + 0*t**2 - 3*t + 1/12*t**4. Determine a so that o(a) = 0.
0, 2
Let y(b) = -b**3 + 8*b**2 + 8*b + 12. Let r be y(9). Let d(c) be the first derivative of 2/9*c**r + 1/3*c + 1/2*c**2 + 1. Solve d(n) = 0.
-1, -1/2
Let m(t) = -11*t**4 - 20*t**3 - 15*t**2 - 6*t + 6. Let u(z) = 32*z**4 + 60*z**3 + 45*z**2 + 17*z - 17. Let a(p) = -17*m(p) - 6*u(p). Find s such that a(s) = 0.
-3, -1, 0
Let m(c) = -5*c - 8. Let d be m(-4). Let x be d/18 + 0/(-2). Factor 1/3*p**3 + p**2 + 0 + x*p.
p*(p + 1)*(p + 2)/3
Solve 7*b**2 - 8*b**3 + 8*b - 4 + 3*b**4 + b**4 - 7*b**2 = 0.
-1, 1
Let i(v) be the second derivative of v**4/4 + v**3 + 4*v. Factor i(u).
3*u*(u + 2)
Let q(n) be the first derivative of -2*n**4/3 - 2*n**3/3 + 3*n**2 - 4*n/3 + 43. Factor q(v).
-2*(v - 1)*(v + 2)*(4*v - 1)/3
Let c(n) = n**3 - 9*n**2 - 1. Let b be c(9). Let m = b + 3. Determine k so that 3/2*k**2 + 0*k - m*k**3 - 1/4 + 3/4*k**4 = 0.
-1/3, 1
Factor -4/7 + 3/7*r + 1/7*r**2.
(r - 1)*(r + 4)/7
Let f(x) = -x**3 - 3*x**2 + x + 4. Let c be f(-3). Let y = c + 4. Factor 20/3*m**3 + 10/3*m + 2/3*m**y + 20/3*m**2 + 2/3 + 10/3*m**4.
2*(m + 1)**5/3
Let q(n) be the second derivative of -1/6*n**2 + 0 + 0*n**3 + 1/36*n**4 - 4*n. Factor q(m).
(m - 1)*(m + 1)/3
Let x be -5 + 1*2/1. Let z = x + 5. Factor -c**2 + 5*c**4 - 2*c**z - 2*c**4.
3*c**2*(c - 1)*(c + 1)
Let p(y) be the second derivative of 0 + 1/10*y**6 - 1/6*y**3 + 0*y**2 + 4*y + 1/20*y**5 - 1/4*y**4. What is z in p(z) = 0?
-1, -1/3, 0, 1
Let f = 4 + -4. Let l(s) be the third derivative of f*s**4 + 0*s**6 + 0*s**3 + 0*s + 1/105*s**7 - 2*s**2 + 0 - 1/30*s**5. Factor l(c).
2*c**2*(c - 1)*(c + 1)
Let b(m) be the first derivative of -2*m**4 - 4*m**3/3 + 2*m**2 + 6. Factor b(g).
-4*g*(g + 1)*(2*g - 1)
Let p(l) be the third derivative of 2*l**7/105 - l**6/10 + 2*l**5/15 - 10*l**2. Factor p(z).
4*z**2*(z - 2)*(z - 1)
Factor -4/3*t**3 + 2*t**2 - 1/3*t**4 + 12*t + 9.
-(t - 3)*(t + 1)*(t + 3)**2/3
Let y(d) be the third derivative of -d**5/75 + d**4/15 - 11*d**2. Suppose y(n) = 0. What is n?
0, 2
Suppose 0 = 15*o - 11*o + 6*o. Solve -1/2*x**3 - 1/6*x + 2/3*x**2 + o = 0 