 Suppose w(i) = 0. Calculate i.
-1, 0, 1, 2
Let r(h) be the third derivative of -5*h**7/42 + 7*h**6/12 - 11*h**5/15 + h**4/3 + h**2. Factor r(j).
-j*(j - 2)*(5*j - 2)**2
Let j(l) be the first derivative of -2*l**3/3 + 13. Factor j(q).
-2*q**2
Let h = 13/18 - 5/9. Let t(m) be the second derivative of -1/3*m**3 + 0*m**2 + 0 - 2*m + h*m**4. Determine p so that t(p) = 0.
0, 1
Let y(s) be the first derivative of s**6/39 - 3*s**4/26 + 4*s**3/39 - 32. Factor y(r).
2*r**2*(r - 1)**2*(r + 2)/13
Let o(n) = -4*n**3 - 32*n**2 - 36*n. Let g(c) = -c**2. Let u(j) = -8*g(j) + o(j). Factor u(m).
-4*m*(m + 3)**2
Let l = 203 - 1013/5. Factor -2/5*g**4 + 2/5*g**2 + 0*g + 0 + 2/5*g**5 - l*g**3.
2*g**2*(g - 1)**2*(g + 1)/5
Let i = 73/1176 - 1/49. Let t(j) be the third derivative of -1/480*j**6 + 1/80*j**5 - 1/32*j**4 + i*j**3 + 0*j + 0 - 2*j**2. Factor t(u).
-(u - 1)**3/4
Suppose h + 2*h + 12 = 0. Let a be 32/66 - h/22. Factor 4/3*i**4 + 0 + a*i - 4/3*i**2 + 0*i**3 - 2/3*i**5.
-2*i*(i - 1)**3*(i + 1)/3
Let k(l) be the second derivative of l**6/10 - 3*l**4/4 + l**3 + 21*l. Factor k(u).
3*u*(u - 1)**2*(u + 2)
Let p(o) be the third derivative of o**8/504 + o**7/315 - o**6/90 - o**5/45 + o**4/36 + o**3/9 + 3*o**2. Determine i, given that p(i) = 0.
-1, 1
Let t(z) be the first derivative of 6 + 0*z**2 - 1/10*z**4 + 0*z - 1/15*z**6 - 4/25*z**5 + 0*z**3. Solve t(o) = 0.
-1, 0
Let g = 59 + -55. Factor 0 - 2/7*j**g + 2/7*j**3 + 0*j + 0*j**2.
-2*j**3*(j - 1)/7
Suppose -s = 2*x + 5, -2*x = -s - 4*s + 23. Suppose -2*l - 1 = -3*q + 3, s*q + l + 2 = 0. Factor 1/2*t + q - 1/4*t**2.
-t*(t - 2)/4
Suppose 0 = -12*n + 4*n + 24. What is h in 4/7*h**n + 0 + 2/7*h + 6/7*h**2 = 0?
-1, -1/2, 0
Let j(b) = 3*b - 13. Let o be j(6). Let z(m) be the third derivative of -1/12*m**4 + 0 + 3*m**2 + 0*m + 0*m**3 - 1/60*m**o. Factor z(i).
-i*(i + 2)
Let y(j) = -j**2 - 6*j. Let k be y(-5). Suppose -k*n + 9 = -11. Factor -3*d**4 - 2*d**n + d**2 + 7*d**4 - 4*d**3 + d**2.
2*d**2*(d - 1)**2
Let n(s) be the first derivative of 0*s**3 + 0*s**4 + 1/5*s**5 + 0*s + 0*s**2 - 4. Determine c, given that n(c) = 0.
0
Let l(a) = 6 - 9 - 2*a - 5 - 10*a**2. Let d(p) = -2*p**2 - 7*p - 4. Let n be d(-4). Let k(o) = o**2 + 1. Let j(b) = n*k(b) - l(b). Factor j(r).
2*r*(r + 1)
Let s(r) = 15*r**3 - 19*r**2 - 75*r + 101. Let q(t) = 5*t**3 - 6*t**2 - 25*t + 34. Let v(w) = -11*q(w) + 4*s(w). Let v(i) = 0. Calculate i.
-2, 1, 3
Factor -10*j**2 + 0 + 0 + 5*j**3 + 10 + j - 6*j.
5*(j - 2)*(j - 1)*(j + 1)
Let f be (6/8)/(1/(-4)). Let u be (-3)/(f/(-2)) + 5. Solve 0 + 4/7*g**2 - 2/7*g**u + 0*g = 0.
0, 2
Suppose 3*a**2 - 8*a**2 - a**3 + 36 + 18*a**2 - 48*a = 0. Calculate a.
1, 6
Suppose 3*t**3 - 11/3*t - 2/3 - 4*t**2 = 0. Calculate t.
-1/3, 2
Let w be (5 - 8)/((-3)/2). Factor -4/7 - 6/7*i - 2/7*i**w.
-2*(i + 1)*(i + 2)/7
What is b in -38/5*b**3 + 44/5*b**2 - 18/5*b**5 + 16/5 + 56/5*b - 12*b**4 = 0?
-2, -1, -2/3, 1
Let t = -1/4 - -3/4. Suppose 0*u**3 + t*u**5 + 0 + u**4 - u**2 - 1/2*u = 0. Calculate u.
-1, 0, 1
Let g be (30/4)/(-3)*-2. Let i = -586 - -590. Let 0*f**2 + f**3 + 1/2*f**g + 0 + 4/3*f**i - 1/6*f = 0. Calculate f.
-1, 0, 1/3
Factor 0 + 0*l + 0*l**2 - 8/11*l**3 + 2/11*l**4.
2*l**3*(l - 4)/11
Let t = -48 + 52. Let h(n) be the third derivative of 0*n**3 - 1/84*n**4 + 1/105*n**5 + 0*n - 1/420*n**6 + t*n**2 + 0. Factor h(f).
-2*f*(f - 1)**2/7
Let g(o) = 6*o**2 - 5*o + 4. Let c(b) = 2*b. Suppose 1 + 1 = 2*q. Let y be c(q). Let w(m) = -m**2 + m - 1. Let z(i) = y*g(i) + 10*w(i). Factor z(u).
2*(u - 1)*(u + 1)
Let j(d) be the second derivative of -d**6/120 - d**5/40 - d**4/48 + 3*d. Factor j(g).
-g**2*(g + 1)**2/4
Factor -3/4*w - 3/2 + 3/4*w**2.
3*(w - 2)*(w + 1)/4
Let k(p) be the third derivative of p**6/840 - 3*p**5/280 + p**4/28 - 7*p**3/6 - 6*p**2. Let n(u) be the first derivative of k(u). Let n(c) = 0. Calculate c.
1, 2
Suppose 2*t - g = -14, -2*g + 4 = 3*t + 11. Let f(o) = -2*o**4 - 4*o**3. Let u(q) = -q**4 - 2*q**3. Let m(s) = t*u(s) + 2*f(s). Factor m(z).
z**3*(z + 2)
Suppose a + 5*q - 2 = 0, -4*q = -3*a + 5 + 1. Suppose 9*c - 2 - 2 + 9 + 3*c**a + 1 = 0. What is c?
-2, -1
Let h(c) = c. Let g be h(4). Let o be 0/(40/50*5/(-2)). Factor 4/3*d**3 + 0 + 2/3*d**g + 2/3*d**2 + o*d.
2*d**2*(d + 1)**2/3
Let u(o) = o**2 - o + 1. Let n(w) = 3*w**3 - 66*w**2 + 249*w - 312. Let h(a) = -n(a) - 18*u(a). Let h(j) = 0. Calculate j.
2, 7
Let f = -62 - -64. Determine d, given that -2*d**f + 4/7 - 10/7*d = 0.
-1, 2/7
Let j(p) = p**2 + 5. Let t(n) = 2 + 2 - 6. Let v(k) = 2*j(k) + 5*t(k). Determine l so that v(l) = 0.
0
Factor -12/7*y**3 + 0 + 12/7*y + 4/7*y**2 - 4/7*y**4.
-4*y*(y - 1)*(y + 1)*(y + 3)/7
Let w be ((-2)/6)/(3/(-45)). Suppose -38*l**2 + 3*l**5 + 13*l**w + 8 + 6*l**4 - 18*l**3 - 6*l**5 - 16*l**3 = 0. What is l?
-1, 2/5, 2
Let m(d) be the second derivative of -d**7/42 + d**6/15 - d**4/6 + d**3/6 + 14*d. Factor m(h).
-h*(h - 1)**3*(h + 1)
Let n(p) be the second derivative of 1/14*p**4 + 2*p - 1/70*p**5 - 1/105*p**6 - 2/7*p**2 + 1/21*p**3 + 0. Solve n(c) = 0.
-2, -1, 1
Suppose -2 = 6*m - 14. Factor -2/5*t**m + 0 + 0*t - 2/5*t**3.
-2*t**2*(t + 1)/5
Let r(g) be the second derivative of -g**6/280 - g**5/70 - g**4/56 - 5*g**2/2 + 3*g. Let o(f) be the first derivative of r(f). Suppose o(j) = 0. What is j?
-1, 0
Suppose -4*p + 4 = -2*p. Factor -h**3 + 26*h**3 - 6 + 8*h**3 - 45*h**p - 7*h**4 + 27*h - 2*h**4.
-3*(h - 1)**3*(3*h - 2)
Determine g so that -8*g - 3*g**2 + 7*g**2 + 3*g + g - 8 = 0.
-1, 2
Let x(c) be the second derivative of 3*c**5/80 + c**4/12 - c**3/24 - c**2/4 + 11*c. Factor x(o).
(o + 1)**2*(3*o - 2)/4
Let j be 4/(1 + 1)*(-1)/(-10). Factor 1/5*z - 1/5*z**3 + 1/5*z**2 + 0 - j*z**4.
-z*(z - 1)*(z + 1)**2/5
Let 6 - 4*o**2 + 8*o - 2 + 4*o**3 - 12*o = 0. What is o?
-1, 1
Let y = 136 - 2719/20. Let r(v) be the second derivative of y*v**5 + 0 - 1/6*v**3 + 1/12*v**4 + 0*v**2 + v - 1/30*v**6. Factor r(t).
-t*(t - 1)**2*(t + 1)
Let w(n) be the third derivative of n**7/8820 + n**6/420 + 3*n**5/140 + n**4/8 + n**2. Let c(i) be the second derivative of w(i). Factor c(o).
2*(o + 3)**2/7
Let l(q) be the second derivative of 3*q**6/2 + 11*q**5/4 - 35*q**4/12 - 55*q**3/6 - 5*q**2 + 4*q. Factor l(c).
5*(c - 1)*(c + 1)**2*(9*c + 2)
Let s(c) be the third derivative of -c**6/600 + c**5/300 + c**4/60 - 7*c**2. Suppose s(u) = 0. Calculate u.
-1, 0, 2
Let w(j) be the first derivative of j**5/15 + j**4/12 - 2*j**3/9 + 27. Factor w(s).
s**2*(s - 1)*(s + 2)/3
Suppose -4*o - 4 = -16. Let w(j) be the third derivative of 0*j**6 + 0*j**o + 1/280*j**7 - 1/80*j**5 + j**2 + 0*j**4 + 0*j + 0. Factor w(q).
3*q**2*(q - 1)*(q + 1)/4
Factor -14*l - 3*l**3 - 29*l + 20*l + 27 + 21*l**2 - 22*l.
-3*(l - 3)**2*(l - 1)
Let q = 11 - 6. Let z(i) be the second derivative of i - 1/3*i**4 + 0*i**2 - 1/3*i**3 - 1/10*i**q + 0. Factor z(h).
-2*h*(h + 1)**2
Let w be (-6)/(-8)*(6 + 2) + -3. Factor 0 + 6/5*g + 3/5*g**w + 9/5*g**2.
3*g*(g + 1)*(g + 2)/5
Let m(h) be the first derivative of -h**7/840 + h**6/120 - h**5/40 + h**4/24 - 2*h**3 + 1. Let o(v) be the third derivative of m(v). Factor o(n).
-(n - 1)**3
Let x(d) be the first derivative of 16*d**5/5 - 5*d**4 - 10*d**3 + 5*d**2 + 4*d - 16. Let x(i) = 0. What is i?
-1, -1/4, 1/2, 2
Let c(l) be the first derivative of 4*l**3/9 - 8*l**2 + 48*l - 4. Determine a so that c(a) = 0.
6
Let r(y) = -13*y**2 - 65*y - 223. Let l(s) = -7*s**2 - 32*s - 112. Let i(w) = -7*l(w) + 4*r(w). Solve i(o) = 0 for o.
-6
Let y(r) = 2*r**2 + 9*r + 4. Let t(h) = -2*h**2 - 8*h - 4. Let m(x) = -3*t(x) - 2*y(x). Factor m(w).
2*(w + 1)*(w + 2)
Let r(o) be the third derivative of o**5/36 - 5*o**4/24 + 5*o**3/9 + 19*o**2. Factor r(u).
5*(u - 2)*(u - 1)/3
Let r be 108/30 - 2/(-5). Let l(v) be the second derivative of 0*v**2 + 0*v**r + 0 + 1/15*v**3 + v - 1/50*v**5. Find g such that l(g) = 0.
-1, 0, 1
Let j be (1/18)/(5/15). Factor j*x + 0 - 1/6*x**2.
-x*(x - 1)/6
Suppose -2*g - 2*f - 10 = -2, 5*g + 48 = 2*f. Let u be 100/g*5/(-25). Factor 1 - 7/2*d**2 - u*d.
-(d + 1)*(7*d - 2)/2
Suppose -3*z - 12 = z. Let b(i) = -i**2 + 2*i - 1. Let h(a) = a + 1. Let q(r) = z*b(r) + 24*h(r). Suppose q(g) = 0. What is g?
-3
Let z(r) be the second derivative of r**8/4200 - r**7/700 + r**6/300 - r**5/300 + 3*r**3/2 + 8*r. Let a(m) be the second derivative of z(m). Factor a(i).
2*i