ose -4 = 3*c + 3*n + 2, -4 = 4*n. Let o(m) = c*i(m) - 5*g(m). Solve o(q) = 0.
0, 1
Let o(n) = 6*n**5 + 15*n**4 - 15*n**3 - 15*n**2 - 9*n - 9. Let l(c) = -3*c**5 - 8*c**4 + 7*c**3 + 8*c**2 + 4*c + 4. Let m(r) = -9*l(r) - 4*o(r). Factor m(k).
3*k**2*(k - 1)*(k + 1)*(k + 4)
Let k(a) be the first derivative of -a**4/2 - 2*a**3 + a**2 + 6*a + 20. Factor k(w).
-2*(w - 1)*(w + 1)*(w + 3)
Let d be (4 - 5)/(2/4). Let l = d - -7. Factor l - 38*v - 50*v**5 + 194*v**2 + 3 - 278*v**3 - 26*v + 190*v**4.
-2*(v - 1)**3*(5*v - 2)**2
Let d(l) be the third derivative of l**8/840 + l**7/84 + l**6/20 + 7*l**5/60 + l**4/6 - l**3/3 - 4*l**2. Let y(i) be the first derivative of d(i). Factor y(h).
2*(h + 1)**3*(h + 2)
Let a(f) be the first derivative of 9*f**5/5 - 15*f**4/4 - f**3 + 15*f**2/2 - 6*f + 19. Find k such that a(k) = 0.
-1, 2/3, 1
Let w(s) be the first derivative of -63*s**3/5 - 6*s**2/5 + 12*s/5 - 5. Find i such that w(i) = 0.
-2/7, 2/9
Let v(y) = 2*y**3 + 10*y**2 - 2*y + 10. Suppose g - 55 = 5*n, 3*n - 2*g + 14 = -26. Let x(r) = r**2 + 1. Let p(d) = n*x(d) + v(d). Factor p(w).
2*w*(w - 1)*(w + 1)
Let w be ((-9)/(-198))/(2/(-24)). Let b = -7/33 - w. Factor -1/3*s**2 - b + 2/3*s.
-(s - 1)**2/3
What is u in 9/2*u**2 - 1/2 - u - 4*u**4 + u**3 = 0?
-1, -1/4, 1/2, 1
Let m = -63/4 - -77/4. Let p(d) = 2*d - 4. Let z be p(3). Suppose 1 - 5/2*f - m*f**z = 0. What is f?
-1, 2/7
Let s(y) = -17*y**2 + 33*y. Let i(l) = -8*l**2 + 16*l. Suppose -f + 9 = -2*f. Let k(g) = f*i(g) + 4*s(g). Factor k(c).
4*c*(c - 3)
Let y(c) be the second derivative of c**7/11340 - c**6/1620 - c**4/12 - 3*c. Let h(i) be the third derivative of y(i). Factor h(n).
2*n*(n - 2)/9
Let m be ((-2)/(-7))/((-6)/(-84)). Let z(b) be the third derivative of 1/330*b**5 - 3*b**2 + 0 + 0*b**m - 1/33*b**3 + 0*b. Determine k so that z(k) = 0.
-1, 1
Let m = -89 + 357/4. Let t(l) be the first derivative of m*l**4 + 4 + 0*l + 2/3*l**3 + 1/2*l**2. Find w such that t(w) = 0.
-1, 0
Suppose -t = -3 + 4. Let q(u) = u**2. Let h(k) = -2*k**2 + k. Let c(n) = t*h(n) - 3*q(n). Factor c(b).
-b*(b + 1)
Let k(z) = -4*z + 8. Let u be k(-3). Let i be 3/(-12) + 5/u. Find x such that 1/2 + 0*x**3 + 1/2*x**4 + i*x - x**2 = 0.
-1, 1
Let i(r) = -r**3 + 7*r**2 + 8*r + 2. Let m be i(8). Suppose -m*k + 4 = -k. Let 2/7*s - 2/7*s**3 + 6/7*s**k - 6/7*s**2 + 0 = 0. Calculate s.
-1, 0, 1/3, 1
Factor 0*r**3 - 157*r**2 + 172*r**2 + 10*r + 0*r**3 + 5*r**3.
5*r*(r + 1)*(r + 2)
Let s(l) = -l**4 + l**3 + l + 1. Let g(h) = 9*h**4 + 2*h**3 + 2*h**2 - 6*h - 5. Let n(i) = -g(i) - 5*s(i). Factor n(v).
-v*(v + 1)**2*(4*v - 1)
Let u = -163 - -163. Factor u + 2/7*j**3 - 2/7*j + 0*j**2.
2*j*(j - 1)*(j + 1)/7
Let g(i) = i**2 + 15*i + 52. Let t be g(-10). Determine w, given that -2/9*w**4 + 4/9*w**3 + 0*w - 2/9*w**t + 0 = 0.
0, 1
Let m be 3 - (-2 + (-3 - -4)). Solve m + 0 - 3*g**2 - 3*g**3 - 1 + 3*g = 0 for g.
-1, 1
Let z be 2*-2 + 143/26. Let d = 7/6 + -2/3. Factor -3/2*g - d - z*g**2 - 1/2*g**3.
-(g + 1)**3/2
Let r = -32 - -193/6. Let y(n) be the second derivative of -2*n**2 + 1/3*n**3 + 2*n + 0 + r*n**4. Factor y(g).
2*(g - 1)*(g + 2)
Let h(f) = -3*f - 3. Let t(n) = n**3 + n**2 + 8*n + 8. Let j(b) = -8*h(b) - 3*t(b). Solve j(q) = 0.
-1, 0
Let l(h) be the second derivative of -5*h**5/4 - 5*h**4 - 10*h**3/3 + 18*h. Factor l(x).
-5*x*(x + 2)*(5*x + 2)
Factor 0*p**3 - 1/5*p + 1/5*p**5 - 2/5*p**4 + 0 + 2/5*p**2.
p*(p - 1)**3*(p + 1)/5
Suppose -5*f - o = -16 - 1, 0 = -3*f + 5*o - 1. Let b be (-3)/(-15)*(f + -1). Determine t, given that -2/5*t**4 - 2*t**3 + 8/5 + b*t**2 + 2/5*t**5 + 16/5*t = 0.
-1, 2
Let x(d) be the second derivative of d**6/540 + 7*d**3/6 - 4*d. Let n(i) be the second derivative of x(i). Factor n(j).
2*j**2/3
Factor 2*b + 25 - 27 - b**2 - 5*b.
-(b + 1)*(b + 2)
What is r in -2/19*r + 4/19*r**2 - 4/19*r**4 + 2/19*r**5 + 0 + 0*r**3 = 0?
-1, 0, 1
Let j(v) be the second derivative of 0*v**6 + 0 + 0*v**2 - 1/5*v**5 - 8*v + 1/21*v**7 + 0*v**4 + 1/3*v**3. Determine o, given that j(o) = 0.
-1, 0, 1
Factor -1/3*t**2 + t**3 + 0*t + 1/3*t**5 - t**4 + 0.
t**2*(t - 1)**3/3
Let r(p) be the second derivative of 0*p**3 + 0 + 0*p**4 + 1/50*p**5 + 3*p + 0*p**2. Factor r(h).
2*h**3/5
Let r be 2*45/(-30) - (-50)/12. Factor 3/2*m**2 + 1/3 + r*m + 5/6*m**3 + 1/6*m**4.
(m + 1)**3*(m + 2)/6
Let j(f) = -f**2 - 6*f + 3. Let n be j(-6). Let t = -310 - -2174/7. Factor -2/7*r**n + t*r - 2/7*r**2 + 0.
-2*r*(r - 1)*(r + 2)/7
Suppose 18 = 5*u + v - 9, 3*u - 4*v = 7. Factor u - 1 + 3*x**2 - 2 - 7*x.
(x - 2)*(3*x - 1)
Let q(h) = -8*h**5 + 11*h**4 + 5*h**3 - 11*h**2 + 8*h. Let r(g) = -33*g**5 + 45*g**4 + 21*g**3 - 45*g**2 + 33*g. Let n(v) = 21*q(v) - 5*r(v). Factor n(b).
-3*b*(b - 1)**3*(b + 1)
Let l(s) be the second derivative of 0*s**3 - 3*s - s**2 + 0 + 1/6*s**4. Determine g so that l(g) = 0.
-1, 1
Let p be 3/(-9)*(-1 - 1)/12. Let j(z) be the third derivative of 0*z - 2*z**2 + 0*z**3 - 2/45*z**5 + 1/72*z**6 + 0 - 1/630*z**7 + p*z**4. Factor j(k).
-k*(k - 2)**2*(k - 1)/3
Suppose 2*k = -2*k. Suppose k + 2 = s. Let c**s - 3*c + 3*c = 0. What is c?
0
Find d such that 5 + 5*d**4 + 5*d**5 + 5 - 10 = 0.
-1, 0
Let q = -19 + 39/2. Let i = -19/2 + 11. Suppose q*m**5 + 0*m + i*m**3 - 1/2*m**2 - 3/2*m**4 + 0 = 0. Calculate m.
0, 1
Let n(y) be the second derivative of 3*y**5/20 - y**4/6 - y. Factor n(o).
o**2*(3*o - 2)
Let x be (-18)/10 + (-3 - (-8 - -2)). Suppose 4/5*b**3 + 0*b - 2/5 + x*b**2 = 0. What is b?
-1, 1/2
Let b(x) = x**2 + 7*x + 4. Let j be b(-5). Let f be ((-16)/20)/(j/10). Let 1/3*a**2 + 4/3*a + f = 0. Calculate a.
-2
Let i be (-1)/1 + (-63)/(-60). Let s(h) be the first derivative of i*h**5 + 0*h + 1 + 1/8*h**2 + 3/16*h**4 + 1/4*h**3. Let s(c) = 0. Calculate c.
-1, 0
Suppose 4*w = -3*n + 39, 3*n = 2*w + 4*n - 21. Factor 6*o**2 + 13 + 4*o**3 + o**4 + 4*o - w + 0*o**3.
(o + 1)**4
Let l(t) be the third derivative of -t**8/50400 + t**7/6300 - t**6/1800 - t**5/15 - 4*t**2. Let k(u) be the third derivative of l(u). Factor k(h).
-2*(h - 1)**2/5
Solve 1/4 + 1/4*i**2 + 1/2*i = 0.
-1
Let h(v) be the first derivative of 8/7*v + 5/7*v**2 - 6 + 2/21*v**3. Solve h(j) = 0 for j.
-4, -1
Let x(z) be the second derivative of -1/4*z**4 + 0*z**2 + 1/2*z**3 + 2*z + 0. Factor x(v).
-3*v*(v - 1)
Suppose 5*r = -6*j + 7*j - 20, j - 2*r - 8 = 0. Let 7*v + 0*v**2 + j*v**2 - 2 - 5*v**2 = 0. What is v?
2/5, 1
Factor 5/4 - 5/4*i**2 + 0*i.
-5*(i - 1)*(i + 1)/4
Let b = 1 - -1. Let o(r) be the first derivative of 1 + r**b + 1/2*r**4 + 0*r - 4/3*r**3. Find q, given that o(q) = 0.
0, 1
Let i be 1/3*-3 + -9. Let k(a) = -2*a - 17. Let y be k(i). Suppose 7/4*s**4 + 1/2*s - 3*s**y + 0 + 3/4*s**2 = 0. Calculate s.
-2/7, 0, 1
Let t(x) = -3*x**3 + 2*x**2 + 2*x - 1. Let f(l) = -l**3 + 1. Let p(s) = 2*f(s) - 2*t(s). Determine g, given that p(g) = 0.
-1, 1
Suppose 5*j - 2 = 8. Suppose j*a - 5 = -1. Let -1/2*i**a - 1/2*i + 0 = 0. Calculate i.
-1, 0
Let t(r) = r**2 - 1. Let p(w) = -11*w**2 + 25*w + 6. Let o(d) = -p(d) - 6*t(d). What is i in o(i) = 0?
0, 5
Factor 8 + 2*g**3 - 24 - 24*g - 3*g**3 - 12*g**2 - g**3.
-2*(g + 2)**3
Factor 0 + 3/2*o**3 - o**2 + 0*o - 1/2*o**4.
-o**2*(o - 2)*(o - 1)/2
Let x(c) = -8*c**2 - 11*c - 3. Suppose 4*o = -2*z - 10, 5*o + 5*z - 3*z + 14 = 0. Let s(p) = -17*p**2 - 23*p - 6. Let u(t) = o*s(t) + 7*x(t). Factor u(g).
3*(g + 1)*(4*g + 1)
Let m(x) be the first derivative of x**6/540 - x**5/60 + x**4/18 - 2*x**3/3 + 3. Let d(z) be the third derivative of m(z). Solve d(a) = 0.
1, 2
Suppose -s + u - 4*u = -3, -u + 1 = 0. Factor 0*q**2 + s*q**3 - 2/7*q**4 + 0*q + 0.
-2*q**4/7
Let o(c) be the second derivative of -3*c**8/2240 + c**7/840 + c**6/80 - c**5/40 + 2*c**4/3 + 4*c. Let r(v) be the third derivative of o(v). Solve r(a) = 0.
-1, 1/3, 1
Suppose 6 = -5*o + 3*u, -u = -4*o + u - 4. Let c(i) be the second derivative of -1/30*i**6 + o*i**2 + 0*i**3 + 1/12*i**4 + i + 0 + 0*i**5. Solve c(g) = 0 for g.
-1, 0, 1
Let w(g) be the first derivative of g**5/180 - g**4/24 + g**3/9 - g**2 - 1. Let p(f) be the second derivative of w(f). Factor p(l).
(l - 2)*(l - 1)/3
Factor 7*y**2 - 2*y**2 + y**2 - 2*y**2 - 16.
4*(y - 2)*(y + 2)
Let r(i) be the first derivative of -9/5*i**5 - 1/2*i**6 - i**3 + 0*i + 4 + 0*i**2 - 9/4*i**4. Find g, given that r(g) = 0.
-1, 0
Let h(q) be the first derivative of 0*q**3 - 1/12*