f = 2 + n. Solve -40*l**3 - 33*l**2 - 1 - 10*l - f - 16*l**4 + 3 = 0 for l.
-1, -1/4
Let o = 23 - 23. Let h(g) be the third derivative of 0*g**4 + 1/60*g**5 + 0*g + o + 2*g**2 + 0*g**6 - 1/210*g**7 + 0*g**3. Factor h(z).
-z**2*(z - 1)*(z + 1)
Factor -17*f**5 + 14*f**3 + 19*f**5 - 14*f**2 + 4*f - 10*f**4 + 4*f**3.
2*f*(f - 2)*(f - 1)**3
Let v(j) = 0*j**2 - 8*j**2 + 3*j - 3 - j**3 + 10*j**2. Let p be v(2). Factor -4/11*y**p + 2/11*y**5 + 2/11*y**4 + 2/11 - 4/11*y**2 + 2/11*y.
2*(y - 1)**2*(y + 1)**3/11
Let b be (6 - 0) + 3040/(-520). Factor -2/13*a**4 - 4/13*a**3 + 0*a**2 + b + 4/13*a.
-2*(a - 1)*(a + 1)**3/13
Suppose -7*q + 20 = -2*q. Let m be ((-3)/(-2))/(3/q). Suppose 2*b + 2*b**m + 3 - 3 = 0. Calculate b.
-1, 0
Let j be ((-1)/(-6))/((-2)/(-8))*1. Let -j*m**2 + 2/3*m + 4/3 = 0. Calculate m.
-1, 2
Let q be (-63)/(-12) + (-2)/8. Let r = -3 + q. What is x in -7 + x + 6 - x**r + x = 0?
1
Suppose -9 = 2*r - 5*r, -5*j = 3*r - 19. Let x be j*(3/6 - -1). Factor 0*u + 0 + 0*u**x + 1/4*u**4 + 0*u**2.
u**4/4
Suppose 18/5*m**4 - 3*m**3 - 6/5*m**2 + 3/5*m + 0 = 0. What is m?
-1/2, 0, 1/3, 1
Let m = 109/28 + -15/4. Let k(r) be the first derivative of -4/7*r + 2/21*r**3 - m*r**2 - 2. Factor k(o).
2*(o - 2)*(o + 1)/7
Let r(o) = o**2 - 2*o**5 + o**4 + 0*o**2 + 2*o**2 + 3*o + 0*o**5 + 3. Let d(q) = -q**5 + q**2 + q + 1. Let c(v) = 6*d(v) - 2*r(v). What is f in c(f) = 0?
-1, 0
Let l = -29774 + 207995/7. Let t = l + 61. Let -2/7*v + 6/7*v**2 - t = 0. What is v?
-2/3, 1
Let s(d) be the first derivative of d**3/9 - d**2/6 - 2. Factor s(j).
j*(j - 1)/3
Let s = -188/3 + 63. What is x in -s*x**2 + 2/3*x + 0 = 0?
0, 2
Let s(p) = 81*p**3 + 81*p**2 - 48*p - 48. Let u(i) = -5*i**3 - 5*i**2 + 3*i + 3. Let x(h) = 2*s(h) + 33*u(h). Factor x(q).
-3*(q - 1)*(q + 1)**2
Let l(c) = c - 5. Let o be l(7). Let s be ((6/15)/(-1))/(8/(-10)). Factor s*z - 1/4*z**o - 1/4.
-(z - 1)**2/4
Let f(z) be the third derivative of z**6/200 - 3*z**5/100 + 7*z**2. Solve f(x) = 0.
0, 3
Let y = -45 + 47. Factor -1/5*p**3 - 1/5*p**y + 0*p + 0.
-p**2*(p + 1)/5
Solve -21/8 + 3/8*c**2 - 9/4*c = 0 for c.
-1, 7
Let g be (-3)/4*((-354)/(-90) + -5). Factor 0 - v**3 - 1/5*v**4 - g*v - 8/5*v**2.
-v*(v + 1)*(v + 2)**2/5
Let w(b) = -b. Let c(d) = -4*d**2 + 50*d - 100. Let t(i) = c(i) + 10*w(i). Factor t(q).
-4*(q - 5)**2
Let o(t) be the first derivative of t**3/3 + 3*t**2/2 + 2*t + 2. Suppose o(l) = 0. Calculate l.
-2, -1
Let s(j) be the second derivative of -j - 3/8*j**5 - 1/5*j**6 + 3/8*j**4 + 0 + 3/4*j**2 + 5/4*j**3. Let s(c) = 0. Calculate c.
-1, -1/4, 1
Let g(o) be the third derivative of o**5/120 + 3*o**4/8 + 27*o**3/4 + 6*o**2 - 1. Suppose g(i) = 0. Calculate i.
-9
Let z(l) be the second derivative of l**6/900 + l**5/300 - l**4/30 + 3*l**3/2 - 9*l. Let f(j) be the second derivative of z(j). Suppose f(x) = 0. What is x?
-2, 1
Factor -o + 0 - 1/2*o**2.
-o*(o + 2)/2
Factor 0 - 1/2*g**2 - 3/2*g.
-g*(g + 3)/2
Let y(u) = u + 11. Let g be y(-9). Determine c so that 4 + g*c**2 + 0*c**2 - 4*c + 2*c - 8 = 0.
-1, 2
Let l(u) be the second derivative of -u**5/70 + u**4/21 - 2*u. Find f, given that l(f) = 0.
0, 2
Let v(a) be the first derivative of a**3/3 - 5*a**2/2 + 6*a - 42. Factor v(r).
(r - 3)*(r - 2)
Suppose 13 = -2*s + s + 3*w, -w = -s - 5. Let q be 2/((-3)/(s/1)). Factor 4/3*n - 4/3*n**3 - 2/3*n**2 + 0 + q*n**4.
2*n*(n - 2)*(n - 1)*(n + 1)/3
Let n(d) be the third derivative of d**5/30 - d**4/4 + 2*d**3/3 - 9*d**2. Suppose n(o) = 0. What is o?
1, 2
Let w be 3 - ((-2534)/(-18) + 2). Let t = w + 140. Solve 0*a**3 - t*a**4 + 2/9*a**5 + 0*a**2 + 0*a + 0 = 0 for a.
0, 1
Let y(p) = 4*p. Let u(o) be the first derivative of o**3/3 + 17*o**2/2 + 10. Let d(i) = 2*u(i) - 9*y(i). Solve d(z) = 0 for z.
0, 1
Let l(v) be the third derivative of -v**7/1260 - v**6/135 - v**5/36 - v**4/18 - v**3/3 + v**2. Let p(c) be the first derivative of l(c). Factor p(t).
-2*(t + 1)**2*(t + 2)/3
Let k(y) be the third derivative of 0 + 0*y**3 + 0*y**4 + y**2 + 1/120*y**6 + 0*y**5 + 0*y. Factor k(m).
m**3
Let i(p) be the second derivative of 8*p**6/5 - 6*p**5/5 - 7*p**4/4 - p**3/2 - 14*p. Factor i(g).
3*g*(g - 1)*(4*g + 1)**2
Factor 0 + 9/2*x**2 + 0*x + 3/2*x**4 + 6*x**3.
3*x**2*(x + 1)*(x + 3)/2
Let z be (-4)/(-20) - 3/(-2 - -17). Find i such that 3/2*i**3 + 0*i + z - 3*i**2 = 0.
0, 2
Suppose 3*x - 3 = 2*x. Let o(b) = 2*b - 4. Let i be o(x). Factor -2/7*a + 4/7*a**i - 2/7*a**3 + 0.
-2*a*(a - 1)**2/7
Let n(p) = -p**3 + 7*p**2 - 7*p + 8. Let o be n(6). Factor -12*u**5 + 11*u**5 + 0*u**4 + o*u**4.
-u**4*(u - 2)
Solve 3/4*o**3 + 1/4*o**2 - 1/2 - 3/4*o + 1/4*o**4 = 0.
-2, -1, 1
Let z be 2 + (-4 - 4/(-2)). Let b(u) be the second derivative of -2*u - 2/3*u**3 + 0 + z*u**2 + 3/20*u**5 - 2/3*u**4 + 3/10*u**6. Let b(t) = 0. What is t?
-2/3, 0, 1
Let d(v) be the third derivative of v**6/30 + 2*v**5/15 - v**4/6 - 4*v**3/3 + 11*v**2. Factor d(a).
4*(a - 1)*(a + 1)*(a + 2)
Let p(h) be the third derivative of h**7/1260 - h**6/360 - h**5/90 + h**4/72 + h**3/12 - 2*h**2 - 5. Determine i so that p(i) = 0.
-1, 1, 3
Let i be (-3)/(2 + 1) + 1. Factor 0*s**2 - 2/13*s**4 - 2/13*s**5 + i*s**3 + 0 + 0*s.
-2*s**4*(s + 1)/13
Let r(y) be the first derivative of -y**5/20 - y**4/12 + y**3/6 + y**2/2 + 7*y - 3. Let b(l) be the first derivative of r(l). Factor b(i).
-(i - 1)*(i + 1)**2
Let o(a) be the second derivative of a**4/4 - 5*a**3/6 - a**2 - 36*a. Solve o(y) = 0.
-1/3, 2
Let n(v) be the second derivative of v**5/10 - 2*v**4/3 + 5*v**3/3 - 2*v**2 - 4*v. Factor n(b).
2*(b - 2)*(b - 1)**2
Find n, given that 9*n**4 - 3*n**3 - 12 + 12 = 0.
0, 1/3
Suppose 0 = g + 3*g - n - 17, 4*g + 3*n = 13. Find a, given that 2/7*a**g - 2/7*a**2 + 0 + 0*a**3 + 0*a = 0.
-1, 0, 1
Let l(a) be the first derivative of a**3 - 5 + 0*a + 9/2*a**2. Suppose l(r) = 0. What is r?
-3, 0
Suppose -6 = h - 3*h. Suppose h*y = 2*y. Factor -l + 3*l**3 + 0*l**2 + 4*l**2 + y*l**3 - 6*l**3.
-l*(l - 1)*(3*l - 1)
Let k(o) be the third derivative of -1/42*o**4 + 0*o - 1/140*o**6 - 2*o**2 - 1/42*o**5 + 0 + 0*o**3. Factor k(f).
-2*f*(f + 1)*(3*f + 2)/7
Factor 45*f**5 - 10*f**5 - 119 - 130*f**4 - 40*f**3 + 119.
5*f**3*(f - 4)*(7*f + 2)
Let o be (144/600)/((-3)/(-5)). Factor 2/5*q**2 + 0 + 2/5*q**3 - o*q**4 - 2/5*q.
-2*q*(q - 1)**2*(q + 1)/5
Suppose s = -2*w - 2*w + 16, -4*s + 5*w + 1 = 0. Let j(a) be the third derivative of a**2 + 0*a + 0*a**3 - 1/60*a**s + 1/150*a**5 + 0. Factor j(k).
2*k*(k - 1)/5
Suppose 7 = l + 5. Let x(j) be the first derivative of -1/9*j**l + 1/18*j**4 - 2/9*j - 1 + 2/27*j**3. Factor x(v).
2*(v - 1)*(v + 1)**2/9
Let a(w) = w**2 - w - 1. Let u(c) = -126*c**2 + 49*c + 1. Suppose 2*q + q + 3 = 0. Let s(v) = q*u(v) - 5*a(v). Find y such that s(y) = 0.
2/11
Let u(x) be the third derivative of x**11/1496880 + x**10/680400 + x**5/60 - 3*x**2. Let g(b) be the third derivative of u(b). Let g(l) = 0. What is l?
-1, 0
Let b(g) be the second derivative of g**7/210 + g**6/75 - g**5/50 - g**4/15 + g**3/30 + g**2/5 + 4*g. Suppose b(m) = 0. Calculate m.
-2, -1, 1
Let m(v) be the first derivative of v**3/3 + 5*v**2/2 - 2. Let z be 2*2/(-8)*2. Let q(r) = -r**3 - r. Let a(d) = z*m(d) - 3*q(d). Solve a(b) = 0.
-2/3, 0, 1
Let a(v) be the third derivative of -v**5/40 - v**4/32 - 8*v**2. Factor a(n).
-3*n*(2*n + 1)/4
Let x(b) be the third derivative of 0*b**3 + 1/315*b**7 - 1/90*b**5 + 0 - 8*b**2 + 1/36*b**4 - 1/180*b**6 + 0*b. Factor x(o).
2*o*(o - 1)**2*(o + 1)/3
Let l be (-4)/(20 - 0) - 1/(-5). Factor -1/5*z**2 + l - 1/5*z.
-z*(z + 1)/5
Suppose 0 - 3/5*w + 1/5*w**2 = 0. Calculate w.
0, 3
Let 2*p**2 - 13*p + 7*p + 12*p = 0. Calculate p.
-3, 0
Let b = 20 + -15. Let r(x) be the first derivative of 1 - 1/12*x**4 + 0*x + 1/18*x**6 + 0*x**3 + 0*x**b + 0*x**2. Find a, given that r(a) = 0.
-1, 0, 1
Factor 1/4*f - 1/2 + 1/4*f**2.
(f - 1)*(f + 2)/4
Let a(p) be the first derivative of p**6/100 - p**5/75 - 7*p**4/60 - 2*p**3/15 + p**2 - 1. Let z(w) be the second derivative of a(w). Let z(n) = 0. What is n?
-1, -1/3, 2
Let x(w) be the second derivative of 0 + 1/4*w**4 + 0*w**2 + 0*w**3 - 3*w + 3/20*w**5. Factor x(i).
3*i**2*(i + 1)
Factor 6*b + 5*b**2 + 9*b + 24 - 14.
5*(b + 1)*(b + 2)
Let d(y) be the third derivative of -y**6/90 + y**5/180 + y**4/18 - y**3/18 + 7*y**2. Determine u so that d(u) = 0.
-1, 1/4, 1
Suppose s