-4 = m. Let i be (4/1)/(1 + r). Suppose -3*n - i*n**2 + 3*n**4 + 3 + 2*n**3 - 6 + 2 + n**5 = 0. Calculate n.
-1, 1
Let i(b) = -10*b**2 + 6*b - 7. Let s(u) = -u**2 - 10*u + 9. Let t be s(-11). Let f(m) = 3*m**2 - 2*m + 2. Let y(v) = t*i(v) - 7*f(v). Factor y(j).
-j*(j - 2)
Let u be 4/42*7/4. Let r(v) be the second derivative of 2*v + 1/30*v**6 + 0*v**5 + 0 + 1/2*v**2 + 0*v**3 - u*v**4. Find n such that r(n) = 0.
-1, 1
Let g(w) = 6*w**3 - 2*w + 6. Let m(y) = -y**4 - 12*y**3 - y**2 + 5*y - 13. Let u(t) = 5*g(t) + 2*m(t). Let b(v) be the first derivative of u(v). Factor b(r).
-2*r*(r - 2)*(4*r - 1)
Let v be 11*-3*3/(-9). Suppose 1 + v = 4*m. Let i**5 + i - i**m - i = 0. Calculate i.
-1, 0, 1
Let y(l) be the third derivative of 0 + 0*l**4 + 0*l + 1/2*l**3 - 3*l**2 + 1/540*l**6 + 0*l**5. Let q(u) be the first derivative of y(u). Factor q(f).
2*f**2/3
Let a**3 - 4*a**2 + 6*a**2 + 3*a**3 + 2*a**4 + 0*a**4 = 0. Calculate a.
-1, 0
Let v(y) = -12*y**3 + 33*y**2 - 9*y - 3. Let g(m) = 13*m**3 - 34*m**2 + 10*m + 2. Let f(d) = 3*g(d) + 2*v(d). Suppose f(w) = 0. What is w?
0, 2/5, 2
Let y(o) be the first derivative of -o**3/7 - 3*o**2/7 - 3*o/7 - 1. Factor y(h).
-3*(h + 1)**2/7
Let x(l) be the second derivative of -l**7/10080 + l**6/960 - l**5/240 + l**4/12 - l. Let d(j) be the third derivative of x(j). Factor d(i).
-(i - 2)*(i - 1)/4
Let c(r) be the third derivative of r**6/40 - 2*r**5/5 + 2*r**4 + 11*r**2. Solve c(w) = 0.
0, 4
Factor 52*s**2 - 15*s + 5*s**3 + 10 - 52*s**2.
5*(s - 1)**2*(s + 2)
Let v(a) = a**3 - 3*a**2 - 2*a + 8. Let g be v(2). Let t(h) be the first derivative of 2/9*h**3 + 0*h**2 + g*h - 4. Let t(y) = 0. Calculate y.
0
Let g be 1/(-2)*4 + 3. Let v = 3 - g. Factor 11*y**3 - 36*y + 12*y**3 + v*y**3 - 8 - 30*y**2.
(y - 2)*(5*y + 2)**2
Factor 0*q - 16/5 + 4/5*q**3 + 12/5*q**2.
4*(q - 1)*(q + 2)**2/5
Let p(i) = i**2 - i + 1. Let o(f) = -f**2 - 5*f - 1. Let z be o(-5). Let s(g) = 2*g**3 + 11*g**2 + 5*g + 3. Let q(n) = z*s(n) + 3*p(n). Let q(k) = 0. What is k?
-2, 0
Let q(x) be the second derivative of 0*x**2 + 2*x + 0*x**3 + 0 - 2/45*x**6 + 1/63*x**7 + 1/30*x**5 + 0*x**4. Factor q(u).
2*u**3*(u - 1)**2/3
Let w(c) be the first derivative of -c**6/210 - c**5/210 + c**4/84 - 4*c**2 + 3. Let r(j) be the second derivative of w(j). Determine y so that r(y) = 0.
-1, 0, 1/2
Let l(c) be the third derivative of c**6/600 - c**4/40 + c**3/15 - 3*c**2. Suppose l(a) = 0. Calculate a.
-2, 1
Let h be (-2 - 15/(-5)) + 3. Let m(j) be the first derivative of 1/6*j**2 + 2/9*j**3 - 2/3*j - 1/12*j**h - 3. Factor m(c).
-(c - 2)*(c - 1)*(c + 1)/3
Let o(j) = -3*j**2 - j - 12. Let h(s) = -2*s**2 - 6. Let x(m) = 7*h(m) - 4*o(m). Solve x(p) = 0 for p.
-1, 3
Let m(y) be the first derivative of -2*y**3/33 + 4*y**2/11 - 8*y/11 - 2. Factor m(h).
-2*(h - 2)**2/11
Suppose 4*h - 8 = 4. Factor -3*q - 3*q**2 + 5*q**4 - 2*q**3 + 2*q**3 - 2*q**4 + h*q**3.
3*q*(q - 1)*(q + 1)**2
Find u such that 9*u**2 + 6*u**2 - 11*u**2 + 8*u - 4*u**3 = 0.
-1, 0, 2
Let k(p) be the third derivative of -p**5/60 + p**4/8 - 2*p**2. Determine j so that k(j) = 0.
0, 3
Let o(h) be the third derivative of h**6/320 - 3*h**5/160 + 3*h**4/64 - h**3/16 - h**2. Factor o(f).
3*(f - 1)**3/8
Let u = 3 - 0. Let c be (-33)/(-132) - (-1)/(4/7). Factor 0*k**c + 0*k - 2/3*k**u + 0 - 2/3*k**4.
-2*k**3*(k + 1)/3
Let f(s) be the third derivative of s**8/42 - 62*s**7/735 + 11*s**6/210 + 13*s**5/105 - 5*s**4/42 - 4*s**3/21 - s**2. Suppose f(g) = 0. Calculate g.
-1/2, -2/7, 1
Determine u, given that 3 + 6*u + 2*u**2 - 14*u + 5 = 0.
2
Suppose v = -3*v - 2*y + 10, 3*y = 2*v - 17. Let j be (10 + -6)*2/v. Determine m, given that -j - 3*m - 1/4*m**3 - 3/2*m**2 = 0.
-2
Let c = -174 - -178. Let h(l) be the first derivative of -l**2 + 1/2*l**c - 3 + 0*l + l**3 - 3/5*l**5. Factor h(n).
-n*(n - 1)*(n + 1)*(3*n - 2)
Let o be 105/(-15) - (-212)/28. Find l such that -2/7 - 6/7*l + 2/7*l**5 + 6/7*l**4 - 4/7*l**2 + o*l**3 = 0.
-1, 1
Let n(v) be the second derivative of -v**5/60 - v**4/24 - 5*v**2/2 - 5*v. Let d(j) be the first derivative of n(j). Factor d(g).
-g*(g + 1)
Let x be (1/2)/((-11)/(-88)). Factor -1/2*p**3 + 0 + 1/2*p + 5/4*p**x - 5/4*p**2.
p*(p - 1)*(p + 1)*(5*p - 2)/4
Let -6 + 0*z**3 + 4*z**2 + 2*z**3 + 6 = 0. What is z?
-2, 0
Factor -238/11*n**4 - 8/11 + 134/11*n**3 - 32/11*n + 46/11*n**2 + 98/11*n**5.
2*(n - 1)**3*(7*n + 2)**2/11
Factor -192/5*j + 0*j**3 - 3/5*j**4 + 72/5*j**2 + 144/5.
-3*(j - 2)**3*(j + 6)/5
Let b(i) be the first derivative of 2 + 1/20*i**5 - 5/16*i**4 - 7/8*i**2 + 3/4*i**3 + 1/2*i. Solve b(f) = 0 for f.
1, 2
Let d(s) be the third derivative of -s**6/180 + s**5/30 - s**4/18 + 9*s**2. Factor d(c).
-2*c*(c - 2)*(c - 1)/3
Let a(g) = g**3 + 7*g**2 + 7*g + 9. Let h be a(-6). Let y = -55/3 - -19. What is i in 0*i - y*i**h + 0 + 2/3*i**2 = 0?
0, 1
Suppose -2 = 2*y - 8. Factor 5*d**3 + 2*d**2 - y*d**2 - 5*d**3 - d**3.
-d**2*(d + 1)
Suppose 5*m + 3*v - 17 = 0, 5*m - 3*v + 4 + 3 = 0. Let 7/4*r**2 + 3*r - m = 0. What is r?
-2, 2/7
Suppose 3*t + 5 = 2*m, 4*t = -4*m + 12 - 52. Let j be (4/54)/(t/(-15)). Factor 0 - j*b + 4/9*b**2 - 2/9*b**3.
-2*b*(b - 1)**2/9
Let t = 10 + -4. Let m(z) = -6*z**2 - 5*z - 17. Let u(f) = f**2 + f + 3. Let x(l) = t*m(l) + 34*u(l). Factor x(g).
-2*g*(g - 2)
Let k = 208 - 2913/14. Let n = k - -59/42. Factor 2/3*i - n + 2/3*i**2.
2*(i - 1)*(i + 2)/3
Let y(c) be the third derivative of 25*c**8/1344 + 17*c**7/168 + 7*c**6/32 + 11*c**5/48 + 5*c**4/48 - 9*c**2. Determine x so that y(x) = 0.
-1, -2/5, 0
Let w(a) = -7*a**4 + 2*a**3 + 2*a**2 - 2*a + 5. Let r(l) = 11*l**4 - 3*l**3 - 3*l**2 + 3*l - 8. Let h(c) = -5*r(c) - 8*w(c). Suppose h(g) = 0. Calculate g.
-1, 0, 1
Let n(z) = -z**2 + z + 1. Let b(o) = o**3 - 2*o**2 + 5*o + 4. Let c be 21/(-49) - 50/14. Let i(j) = c*n(j) + b(j). Factor i(m).
m*(m + 1)**2
Let v(z) be the third derivative of -z**7/945 + z**6/180 - z**5/90 + z**4/108 + 9*z**2. Factor v(k).
-2*k*(k - 1)**3/9
Let f(k) be the second derivative of k**5/40 + k**4/12 - k**3/12 - k**2/2 + 5*k. Determine h so that f(h) = 0.
-2, -1, 1
Suppose 5/3*j**2 + 16/3*j + 4/3 - 7/3*j**3 = 0. What is j?
-1, -2/7, 2
Let g be (-4)/6 - -2 - 1. Suppose 1/3*u**5 + 0*u**4 + 0*u**2 + 0*u - g*u**3 + 0 = 0. Calculate u.
-1, 0, 1
Let l(y) be the second derivative of -3*y**6/10 + 3*y**5/2 - 9*y**4/4 + y**3 + 5*y. Solve l(m) = 0.
0, 1/3, 1, 2
Let v(m) be the third derivative of 0 + 0*m**3 - 1/45*m**5 + 11/60*m**6 - 1/9*m**4 + 0*m - 1/10*m**7 + 3*m**2. Factor v(r).
-r*(3*r - 2)**2*(7*r + 2)/3
Let h(x) be the third derivative of x**6/200 + x**5/100 - 8*x**2. Solve h(l) = 0.
-1, 0
Let i(x) be the first derivative of -1/48*x**4 - 3 - 1/8*x**2 - 1/12*x**3 + 2*x. Let l(r) be the first derivative of i(r). Suppose l(k) = 0. Calculate k.
-1
Let p(l) be the first derivative of l**7/4200 + l**6/900 - l**5/600 - l**4/60 + l**3 + 1. Let b(n) be the third derivative of p(n). Solve b(o) = 0 for o.
-2, -1, 1
Let p(v) be the second derivative of 1/150*v**6 + 0*v**4 + 0 - 1/10*v**2 + 1/50*v**5 - 1/15*v**3 + 3*v. Solve p(x) = 0.
-1, 1
Let o(a) be the first derivative of -a**9/3024 + a**8/560 - a**6/90 + a**3/3 - 1. Let c(r) be the third derivative of o(r). Factor c(y).
-y**2*(y - 2)**2*(y + 1)
Let x(c) = c**2 + c - 1. Let p(l) = -12*l**2 + 32. Suppose 3*w + 22 = -26. Let j(z) = w*x(z) - p(z). Suppose j(s) = 0. What is s?
-2
Let b = -8 + 11. Factor -w**3 - 2*w**b - 2*w + 5*w**3.
2*w*(w - 1)*(w + 1)
Let 3*v**2 - v**2 - 9*v + 7 + v**2 - 1 = 0. Calculate v.
1, 2
Suppose -5*m - 5 = 0, 5*z + 7*m - 5 = 2*m. Suppose -o + z*b = 0, -2*b = -0*o - 2*o. Factor 16*x**3 + o*x + 0 - 70/3*x**4 - 8/3*x**2.
-2*x**2*(5*x - 2)*(7*x - 2)/3
Let q(f) be the third derivative of -f**5/12 - 5*f**4/6 - 5*f**3/2 + 9*f**2. Factor q(p).
-5*(p + 1)*(p + 3)
Let v = -1/60 - -151/60. Factor 0 - h**3 - 3/2*h**5 - v*h**4 + 0*h + 0*h**2.
-h**3*(h + 1)*(3*h + 2)/2
Let -2*p - 5/2*p**4 - 17/2*p**3 - 8*p**2 + 0 = 0. What is p?
-2, -1, -2/5, 0
Suppose -2*h + 3*h = 2. Let c(v) be the third derivative of 0*v**3 + h*v**2 + 0*v**4 + 1/180*v**6 - 1/504*v**8 - 1/315*v**7 + 1/90*v**5 + 0*v + 0. Factor c(d).
-2*d**2*(d - 1)*(d + 1)**2/3
Factor 4/15*f + 0 + 2/5*f**3 + 14/15*f**2.
2*f*(f + 2)*(3*f + 1)/15
Suppose -5*p - 5*v + 5 = 0, 5*p + v - 3 = -2. Suppose -2*z - 4 = -4*f, -4*z + 2 = -3