*f = 0.
-3, 0, 2/9, 2
Let 16/13*r**4 + 0 - 24/13*r**3 + 0*r**2 + 0*r - 2/13*r**5 = 0. Calculate r.
0, 2, 6
Determine w so that 1/6*w**5 + 0*w**2 + 1/2*w**4 + 0 + 0*w - 2/3*w**3 = 0.
-4, 0, 1
Suppose 0 = -6*p - 4*p + 8*p. Suppose -5*d + 10*x - 14*x + 41 = p, 0 = 5*d + 2*x - 33. Factor 0*c + 0 - 2/3*c**4 + 1/3*c**d + 0*c**2 + 1/3*c**3.
c**3*(c - 1)**2/3
Let s(j) be the third derivative of j**5/30 - 7*j**4/6 - 32*j**3/3 + 94*j**2. Solve s(r) = 0.
-2, 16
Let m = 9 - 2. Suppose -10*n + m*n = -9. Factor 16*u + 0 - 7*u - n*u**2 - 6 + 0*u**2.
-3*(u - 2)*(u - 1)
Let a(x) be the second derivative of x**4/54 - 5*x**3/27 - 4*x**2 - 749*x. Solve a(y) = 0.
-4, 9
Let n(c) be the third derivative of -c**6/60 - 13*c**5/30 - 4*c**4/3 + 64*c**3 - 84*c**2. Determine o, given that n(o) = 0.
-8, 3
Let p(x) = -14*x**2 - 126*x. Let m be p(-9). Factor -2/15*i**3 - 2/15*i + m + 4/15*i**2.
-2*i*(i - 1)**2/15
Let v be 4 + 3 + (-18)/4. Let -3*w**2 - 2*w**3 + 0 + v*w**5 + 3*w**4 - 1/2*w = 0. What is w?
-1, -1/5, 0, 1
Let l be (-3117)/(-10920) + (-4)/(-14). Let k = 3/104 + l. Determine o, given that 6/5*o + k*o**2 + 0 = 0.
-2, 0
Let h = 22308 - 22306. Factor 3/2*m + 7/4*m**4 - 3/2*m**3 + 1/4 - 2*m**h.
(m - 1)**2*(m + 1)*(7*m + 1)/4
Let i = 23 - 21. Factor -15 + y**2 - 3*y**2 - y**2 + 20*y - 2*y**i.
-5*(y - 3)*(y - 1)
Let t(v) be the third derivative of -2/21*v**3 + 1/420*v**5 + 0 - 42*v**2 + 0*v**4 + 0*v. Factor t(s).
(s - 2)*(s + 2)/7
Let j(y) = -7*y**2 - 9*y - 5 + 0*y**2 + 2*y**2 + 3*y. Let w = 3 - 2. Let h(p) = -p**2 + 1. Let o(g) = w*j(g) - 4*h(g). Factor o(t).
-(t + 3)**2
Let x(o) be the third derivative of 3*o**7/280 - o**6/40 + o**5/40 + 11*o**4/24 + 13*o**2. Let j(d) be the second derivative of x(d). Factor j(b).
3*(3*b - 1)**2
Let i = 403/3216 - 7/67. Let w(h) be the third derivative of 0*h + i*h**4 + 9*h**2 + 0 + 1/120*h**5 + 0*h**3. Determine n, given that w(n) = 0.
-1, 0
Let d be (-1)/(-4)*0 - -3. Let m(n) be the third derivative of 0 + 1/5*n**5 + 0*n - 2*n**2 + 1/2*n**d - 5/8*n**4. Let m(b) = 0. What is b?
1/4, 1
Let p be (-3)/((-2)/(-8)*1). Let r be 40/12 - (-16)/p. Solve -4*x**2 - 12*x**4 + 6*x**2 + 2*x + 10*x**4 - r*x**3 = 0.
-1, 0, 1
Let c be -4*12/(-15)*(4 + 62/(-16)). Suppose -1/5*v**3 - v - c - 4/5*v**2 = 0. What is v?
-2, -1
Let t be (427/122)/((-14)/(-16)). Let l(x) be the third derivative of -1/20*x**6 + 6*x**2 + 1/4*x**t + 0 + 1/2*x**3 - 1/5*x**5 + 3/70*x**7 + 0*x. Factor l(v).
3*(v - 1)**2*(v + 1)*(3*v + 1)
Let 112/5*g - 24/5 + 106/5*g**2 + 22/5*g**3 = 0. Calculate g.
-3, -2, 2/11
Let n(o) = 12*o - 8. Let f be n(-3). Let d = -26 - f. Find z such that -2*z**2 + 35 - 9 - d = 0.
-2, 2
Suppose -14*x + 15 = -11*x. Determine l so that -16*l**3 + 27*l**2 + 6*l**4 - x*l**4 - 8*l + 3*l**4 - 7*l**2 = 0.
0, 1, 2
Let c = 2674 - 2670. Factor 0*g**3 + 0*g + 1/3*g**c + 1/3 - 2/3*g**2.
(g - 1)**2*(g + 1)**2/3
Let s(p) be the third derivative of -p**8/672 - p**7/84 - 3*p**6/80 - 7*p**5/120 - p**4/24 - 72*p**2 + 3. Find d such that s(d) = 0.
-2, -1, 0
Let r be (-1)/(8 + 170/(-20)). Solve 2/9*b**3 + r*b + 4/3*b**2 + 8/9 = 0 for b.
-4, -1
Let k(i) be the third derivative of i**6/120 + 19*i**5/60 + 8*i**4/3 + 10*i**3 - 90*i**2. Factor k(l).
(l + 2)**2*(l + 15)
Let n(g) be the first derivative of 1/14*g**4 - 10 + 16/7*g + 12/7*g**2 + 4/7*g**3. Factor n(c).
2*(c + 2)**3/7
Suppose 3*h - 2*h = 3. Factor -1 - 1 - 3*z**3 - 5*z - 4*z**2 + 2*z**h + 0*z**3.
-(z + 1)**2*(z + 2)
Factor 10*b**3 - 46/3*b**2 - 3 + 11*b + 1/3*b**5 - 3*b**4.
(b - 3)**2*(b - 1)**3/3
Let u(n) = 4*n**3 + 62*n**2 + 118*n + 60. Let m(q) = -16*q**3 - 247*q**2 - 473*q - 242. Let o(r) = -2*m(r) - 9*u(r). Determine g, given that o(g) = 0.
-14, -1
Determine l, given that -18876*l**2 + 12*l**5 + 5280*l - 453*l**4 - 1845 - 4746 - 36714*l + 5502*l**3 = 0.
-1, -1/4, 13
Let n = 3 - 1. Solve -19 + 32 + 24*j - j**2 - 3*j**n - 49 = 0.
3
Suppose 0 = q + 2, 0 = 5*x - 0*x + 5*q - 480. Let d = 100 - x. Factor 1/3*h**d + 1/3 - 2/3*h.
(h - 1)**2/3
Factor -2793 - 15512 + 176*c**2 - 739 - 349*c**2 + 276*c + 172*c**2.
-(c - 138)**2
Let o(m) be the second derivative of 0 - 4/45*m**5 - 21*m - 1/27*m**6 + 0*m**3 - 2/27*m**4 + 0*m**2 - 1/189*m**7. Factor o(g).
-2*g**2*(g + 1)*(g + 2)**2/9
Let p be (3/(63/(-12)))/((-6)/21). Let w(h) be the first derivative of -5/22*h**4 - 4/33*h**3 + 5/11*h**p + 4/11*h - 5. Determine f, given that w(f) = 0.
-1, -2/5, 1
Let o = 260 + -1037/4. Factor -3/4 + 3/4*n**2 + o*n - 3/4*n**3.
-3*(n - 1)**2*(n + 1)/4
Let a(b) be the first derivative of b**4/5 - 224*b**3/5 - 678*b**2/5 - 136*b + 847. Factor a(q).
4*(q - 170)*(q + 1)**2/5
Let v = -20 + 24. Solve -4*u**3 + 4*u**v + 4*u + 0*u - 4*u**2 + 0*u = 0 for u.
-1, 0, 1
Let i(u) = -u - 23. Let a be i(-22). Let l be a/(-5) - ((-108)/15 - -1). Factor -112/5*x - 8/5*x**2 + l + 28/5*x**3.
4*(x - 2)*(x + 2)*(7*x - 2)/5
Let b(q) = -q + 1. Suppose -38 + 18 = 5*c. Let k be b(c). What is i in 2/7*i + 2/7*i**k + 8/7*i**4 + 8/7*i**2 + 12/7*i**3 + 0 = 0?
-1, 0
Let r = -1429 - -1431. Factor 0*k - 1/11*k**4 + 3/11*k**r + 2/11*k**3 + 0.
-k**2*(k - 3)*(k + 1)/11
Let i(k) be the second derivative of k**7/14 - 3*k**5/20 - 178*k. Solve i(u) = 0.
-1, 0, 1
Let p = -1 - 7. Let d = p + 8. Solve 0*k + d*k**3 + 2*k**3 + 4*k + 6*k**2 = 0.
-2, -1, 0
Let q(c) = c**2 + 2*c + 3. Let u be q(-2). Solve 16*z**3 - 31*z**u + 16*z**3 + z - 2*z**2 = 0 for z.
0, 1
Suppose -2*h - 2 = j, -12 = -5*j + h - 0*h. Factor 6*t**3 - 4*t + j*t**5 - 8*t**2 + 6*t**4 - 3*t**3 - t**3 + 2*t**2.
2*t*(t - 1)*(t + 1)**2*(t + 2)
Let g(s) be the third derivative of 0 + 0*s - 1/108*s**4 + 1/90*s**5 - 4/27*s**3 + 7*s**2. Solve g(a) = 0 for a.
-1, 4/3
Let o(b) = -b**2. Suppose 3 = -3*u - 3. Let l(d) = 2*d**2 + 10*d + 25. Let s(n) = u*o(n) - 2*l(n). Find q, given that s(q) = 0.
-5
Let y(m) be the second derivative of -m**7/14 + 2*m**6/5 - 3*m**5/4 + m**4/2 - 14*m. Let y(c) = 0. What is c?
0, 1, 2
Let d(p) = -2*p**3 - 10*p**2 + p - 3. Let z(c) = -c**2 + c. Let t(i) = d(i) - 5*z(i). Let x(n) be the first derivative of t(n). Factor x(k).
-2*(k + 1)*(3*k + 2)
Let q(f) = f - 1. Let g(j) = -12*j + 56*j + 39*j**2 - 14*j**2 + 12. Let u(l) = -g(l) + 4*q(l). Solve u(s) = 0.
-4/5
Let i(o) = -2*o**2 + 2*o - 1. Let k(d) = -d**2 - 7*d - 11. Let m(b) = 5*i(b) - 5*k(b). Factor m(u).
-5*(u - 10)*(u + 1)
Let j(a) = -6*a**3 - 6*a**2 + 24*a + 24. Let v(g) = g**3 - g**2 - 2*g. Let b(u) = -j(u) - 4*v(u). Factor b(c).
2*(c - 2)*(c + 1)*(c + 6)
Let m(h) be the second derivative of 5/2*h**2 + 0 + 1/150*h**5 + h + 1/60*h**4 + 0*h**3. Let o(f) be the first derivative of m(f). Factor o(a).
2*a*(a + 1)/5
Let n(p) = -p**2 - 25*p - 43. Let x be n(-23). Suppose 4*d + x = -3*o, 3*o - 7*o = 5*d + 4. Find u such that 0*u**2 + 1/6*u**4 + 0 + d*u**3 + 0*u = 0.
0
Let l(y) be the first derivative of 2*y**3/51 + 2*y**2/17 + 2*y/17 - 68. Find d, given that l(d) = 0.
-1
Factor -29/5*x**2 + 0 + 1/5*x**3 + 0*x.
x**2*(x - 29)/5
Suppose -3*f - 3*f = 0. Let s = 4 - f. Factor -2*w**3 + 2*w**4 + 3*w**3 - s*w**3 + w**3.
2*w**3*(w - 1)
Let n be (-3)/(-2) - (-79)/158. Let y be (-3)/2*4/(-9). Factor -y*f - n*f**3 + 2*f**2 + 2/3*f**4 + 0.
2*f*(f - 1)**3/3
Let d(v) be the third derivative of v**7/1260 + v**6/540 - v**5/180 - v**4/36 + 11*v**3/6 - 20*v**2. Let a(m) be the first derivative of d(m). Factor a(j).
2*(j - 1)*(j + 1)**2/3
Factor 0*m + 1/4*m**2 + 0.
m**2/4
Suppose -1 - 7*y**3 - 10*y**3 + 1 - y**4 + 13*y**3 = 0. Calculate y.
-4, 0
Let n(y) be the first derivative of -y**4/10 + 6*y**3/5 - 24*y**2/5 + 8*y - 34. Factor n(d).
-2*(d - 5)*(d - 2)**2/5
Let n(p) = 8*p**2 + 73*p + 9. Let v be n(-9). Let u(g) be the first derivative of 2/9*g**3 - 5 + 7/15*g**5 + 0*g**2 + 3/4*g**4 + v*g. Solve u(m) = 0.
-1, -2/7, 0
Suppose -22 = -5*t + r, 4*t = r - 6 + 23. Suppose d - t = -l, -3*l + 17 = -0*l + 5*d. Determine i, given that 3*i - 8*i**2 + 10*i**2 - l*i + 3*i = 0.
-1, 0
Let s(d) = 16*d - 59. Let t be s(4). Let b(k) be the first derivative of -1/15*k**t + 1/3*k**3 + 0*k**4 + 0*k + 1/3*k**2 - 3. Determine q so that b(q) = 0.
-1, 0, 2
Let v be 15 + -13 + 6 + (7/(-1) - -1). Find h such that -3/7*h + 0 + 0*h**3 + 3/7*h**5 + 6/7*h**v - 6/7*h**4 = 0.
-1, 0, 1
Let o be -28*(-1)/(-3 - -17)*-24. Let y be (o/45)/(-2*(-3)/(-9)). Factor y*c - 19/5*c**2 + 4/5 + 7/5*c**3.
(c - 2)*(c - 1)*(