g so that j(g) = 0.
-1, 0, 1
Factor -4*p**2 + 4 + 16*p**4 + 8*p**3 - 12*p**4 - 4*p**2 - 4*p + 0*p**2 - 4*p**5.
-4*(p - 1)**3*(p + 1)**2
Factor -3/2*w - 1/2*w**4 + 1/2*w**2 + 0 + 3/2*w**3.
-w*(w - 3)*(w - 1)*(w + 1)/2
Let u(j) = -j**2 + 8*j - 3. Let f be u(7). Let s(z) be the third derivative of -1/30*z**5 + 0*z + 0 - z**2 + 1/12*z**f + 0*z**3. Factor s(c).
-2*c*(c - 1)
Let g be (6 - (-3)/(-1)) + -1. Factor -3*j + 4*j**4 + g - 1 + j + 2*j**3 - 5*j**4.
-(j - 1)**3*(j + 1)
Let i(k) be the third derivative of -k**7/420 - k**6/60 - k**5/20 - k**4/12 + k**3/3 + 3*k**2. Let f(z) be the first derivative of i(z). Factor f(y).
-2*(y + 1)**3
Let w(s) be the first derivative of -2*s**6/15 + 4*s**5/25 + 16. Suppose w(l) = 0. Calculate l.
0, 1
Let l be (-44)/220 - (-39)/45. Let r = 304/3 + -100. Factor r*p - l*p**2 - 2/3.
-2*(p - 1)**2/3
Let z(k) be the third derivative of -k**6/120 - 7*k**5/60 - k**4/3 + 8*k**3/3 + 19*k**2. Solve z(t) = 0 for t.
-4, 1
Suppose 5*m - 3*s = 7*m - 29, -12 = -4*s. Let w = m - 6. Let 1/2*q + 3/2*q**5 + q**w + 0 - q**2 - 2*q**3 = 0. Calculate q.
-1, 0, 1/3, 1
Let -4*t**2 - 8 + 26*t + 25 - 186 + 3*t**2 = 0. What is t?
13
Let r be 15/9*2/5. Let 0*t**2 + 2/3*t**3 + 1/3*t**4 - r*t - 1/3 = 0. Calculate t.
-1, 1
Let k(h) = 2*h**3 - 14*h**2 + 16*h - 2. Let y(x) = x**2 + x + 1. Let j(g) = -2*k(g) - 4*y(g). Factor j(o).
-4*o*(o - 3)**2
Let n(k) be the third derivative of 1/30*k**5 + 0*k + 0*k**3 + 0 + 0*k**4 - 3*k**2 + 0*k**6 - 1/105*k**7. Solve n(y) = 0 for y.
-1, 0, 1
Let q(k) be the third derivative of -5*k**6/24 + k**5/12 + 2*k**4/3 + 2*k**3/3 - 8*k**2. Factor q(d).
-(d - 1)*(5*d + 2)**2
Let b(r) = r**2 + 8*r + 15. Let q be b(-6). Factor -3*w**4 + 32*w**q - 24*w**2 + 7*w**4 - 1 + 5 - 16*w**4.
-4*(w - 1)**3*(3*w + 1)
Let f be 35/110 - (-3 - 62/(-22)). Factor -f*o - 1/4 - 1/4*o**2.
-(o + 1)**2/4
Let o be 16/(-60) - 9/(-15). Let p(f) be the second derivative of -4/15*f**6 - o*f**3 - f + 0 + 1/10*f**5 + 2/3*f**4 + 0*f**2. Let p(k) = 0. What is k?
-1, 0, 1/4, 1
Let p(i) be the second derivative of 1/60*i**4 + 3*i + 1/5*i**3 + 0 + 9/10*i**2. What is m in p(m) = 0?
-3
Let m = 5 - 2. Let o be (-4)/(-3) + 1/(-1). Factor o*l**m + l + l**2 + 1/3.
(l + 1)**3/3
Let n(r) = 2*r + 1. Let t be n(-6). Let f = -11 - t. Factor 2/9*c + f - 2/9*c**2.
-2*c*(c - 1)/9
Suppose -c + 1 = -5*u, 5*c - 1 = -2*u + 4*c. Factor u - 2/3*g**3 - 2/3*g**2 + 0*g.
-2*g**2*(g + 1)/3
Let k(i) be the second derivative of -i**7/315 - i**6/60 - i**5/30 - i**4/36 + i**2 + 2*i. Let b(j) be the first derivative of k(j). Factor b(d).
-2*d*(d + 1)**3/3
Let i be -4 - -2 - ((-81)/12 + 4). Factor 3/4*n**3 - 3/4*n**5 + 0*n - i*n**4 + 3/4*n**2 + 0.
-3*n**2*(n - 1)*(n + 1)**2/4
Let w(c) be the second derivative of c**6/1080 - c**5/360 - c**3/6 + 3*c. Let p(o) be the second derivative of w(o). Factor p(f).
f*(f - 1)/3
Let o be 0 - (0 + -1) - -1. Let x = 1/16 - -25/112. Suppose 0 + 4/7*s**3 + 8/7*s**5 - x*s**2 + 0*s + o*s**4 = 0. Calculate s.
-1, 0, 1/4
Determine o, given that -25/3 + 10/3*o - 1/3*o**2 = 0.
5
Let i(t) = -t - 3. Let q be i(-7). Suppose -3*o + 5*j + 1 = -5, -o + 2 = -q*j. Suppose 1/3*m**o + m + 2/3 = 0. What is m?
-2, -1
Let a(h) = 2*h**2 - 22*h - 3. Let n(s) = -5*s**2 + 45*s + 5. Let k(f) = -5*a(f) - 3*n(f). Factor k(j).
5*j*(j - 5)
Suppose 2 = -7*r + 16. Suppose 5*f + 6 = -14, -11 = -5*l - f. Suppose 1/2*h**l - 1/2*h - 3/2*h**r + 0 + 3/2*h**4 = 0. What is h?
-1, -1/3, 0, 1
Let d(n) be the first derivative of n**3/15 + n**2/5 + n/5 - 46. Let d(q) = 0. What is q?
-1
Find g such that 2*g + 1/2*g**3 + 0 - 3*g**2 + 3/4*g**4 - 1/4*g**5 = 0.
-2, 0, 1, 2
Let v(w) be the first derivative of 5*w**6/12 + w**5/2 - 5*w**4/4 + 17. Suppose v(c) = 0. Calculate c.
-2, 0, 1
Let y be (-8)/20 - (-27)/5. Suppose -3*u = -y*p, 4*u + u + 5*p = 0. Factor u*b**2 + 0 + 0 + 3*b**2.
3*b**2
Let q = -62/7 - -517/56. Let x(u) be the first derivative of -q*u**2 + 1/12*u**3 + 1/2*u + 1. Factor x(y).
(y - 2)*(y - 1)/4
Let z = -2 - -8. Let h(f) be the second derivative of -f**2/2 - 2*f. Let n(j) = -j**2 + 2*j - 7. Let w(r) = z*h(r) - n(r). Factor w(o).
(o - 1)**2
Suppose 0 = 6*o - 10 - 2. Factor -1/4*r**o + 1/8*r**5 + 0*r + 0*r**4 - 3/8*r**3 + 0.
r**2*(r - 2)*(r + 1)**2/8
Let o(r) be the third derivative of 3*r**2 - r**4 - 1/40*r**6 + 0*r - 1/4*r**5 + 0 - 2*r**3. Suppose o(u) = 0. Calculate u.
-2, -1
Find n such that 28/9 + 2/9*n**2 + 2*n = 0.
-7, -2
Let j(v) be the first derivative of 6*v**6/7 - 116*v**5/35 + 15*v**4/7 + 100*v**3/21 - 48*v**2/7 + 16*v/7 + 8. Suppose j(a) = 0. Calculate a.
-1, 2/9, 1, 2
Let l(g) be the first derivative of -g**3/9 + g**2/6 + 5. Factor l(k).
-k*(k - 1)/3
Let r(m) be the first derivative of -4/33*m**3 + 2/11*m + 1/11*m**2 - 4. Determine d so that r(d) = 0.
-1/2, 1
Let u(q) = -10*q**2 - 2*q + 1. Let s be u(1). Let c = 7 + s. Let j(f) = 4*f**2 + 8*f - 3. Let g(w) = -2*w**2 - 4*w + 2. Let k(x) = c*j(x) - 7*g(x). Factor k(d).
-2*(d + 1)**2
Let r(i) be the second derivative of 3*i + 0*i**4 + 0*i**2 + 0*i**3 - 1/42*i**7 + 1/20*i**5 + 0 + 0*i**6. Factor r(t).
-t**3*(t - 1)*(t + 1)
Let c = -1 - -4. Suppose c = 2*l - 13. Determine b so that 10*b**2 + 4*b + 2*b**4 - 3*b**4 + l*b**3 + 3*b**4 = 0.
-2, -1, 0
Let s = 55 - 52. Find a, given that -1/8*a**2 + 1/8 - 1/8*a**s + 1/8*a = 0.
-1, 1
Let q(r) be the third derivative of -r**7/525 - r**6/300 + r**5/150 + r**4/60 - r**2. Find g such that q(g) = 0.
-1, 0, 1
Let x(w) = 4*w**5 - 4*w**4 + 6*w**3 + 2. Let k(b) = -b**5 - b**4 - b**2 - 1. Suppose -4*a + 4 = -4. Let y(l) = a*k(l) + x(l). Factor y(d).
2*d**2*(d - 1)**3
Let m(k) = k**2 + 17*k - 5. Let v be m(-17). Let n be 1 + v + (-76)/(-18). Factor -2/9*j**4 + 0 + n*j**3 + 0*j + 0*j**2.
-2*j**3*(j - 1)/9
Let n(j) be the third derivative of 1/735*j**7 - 1/210*j**5 + 0 - 2*j**2 + 0*j**3 + 0*j + 0*j**6 + 0*j**4. Factor n(o).
2*o**2*(o - 1)*(o + 1)/7
Let r(j) be the third derivative of 1/12*j**4 + 0 + 4*j**2 + 0*j**3 - 1/120*j**6 - 1/60*j**5 + 0*j. Factor r(x).
-x*(x - 1)*(x + 2)
Let t(d) = -d**2 + 6*d. Let f be t(6). Let p(s) = -2*s**2 - 2*s**3 + f + 5*s + 2 - 2. Let j(y) = -y. Let l(b) = -5*j(b) - p(b). Let l(g) = 0. What is g?
-1, 0
Let n = -3 + 7. Solve -6*a - n - a**3 + 0*a - 2*a + 0 - 5*a**2 = 0 for a.
-2, -1
Let i(o) = -o**3 + o**2 - o. Let p(z) = 6*z**3 - 5*z**2 + 5*z - 2. Let l(j) = 5*i(j) + p(j). Let w(v) be the first derivative of l(v). Factor w(t).
3*t**2
Let z(o) be the first derivative of -o**4/2 - o**3/3 - o**2/2 + o - 2. Let f(k) = -6*k**3 - 2*k**2 - 2*k + 2. Let c(i) = 3*f(i) - 8*z(i). Factor c(h).
-2*(h - 1)**2*(h + 1)
Suppose 4*m - 5*c = 0, -7*m = -4*m + c. Let v(p) be the second derivative of 0*p**3 + 1/10*p**5 - p - 1/10*p**6 + 0*p**4 + 0*p**2 + m. Let v(b) = 0. What is b?
0, 2/3
Let z(u) = 5*u**4 - 8*u**3 + u**2 + 2*u. Let h(k) = 6*k**4 - 9*k**3 + 3*k. Let p(i) = 2*h(i) - 3*z(i). Factor p(d).
-3*d**2*(d - 1)**2
Let b(a) be the first derivative of a**4/7 - 4*a**3/21 - 2*a**2/7 + 4*a/7 + 9. Factor b(l).
4*(l - 1)**2*(l + 1)/7
Let q(h) be the first derivative of -2*h**5/65 - h**4/13 + 2*h**3/13 + 4*h**2/13 - 8*h/13 + 49. Factor q(g).
-2*(g - 1)**2*(g + 2)**2/13
Let p(x) be the second derivative of -x**7/840 + x**6/120 - x**4/3 + 2*x. Let m(h) be the third derivative of p(h). Factor m(t).
-3*t*(t - 2)
Let u be (4/((-8)/3))/(-270). Let m(v) be the third derivative of -v**2 - u*v**6 + 1/36*v**4 + 1/9*v**3 + 0*v - 1/90*v**5 + 0. Determine k, given that m(k) = 0.
-1, 1
Suppose -2*v = -v + 5. Let z(c) = 8*c**2 - 16*c + 3. Let s(d) = -20*d**2 + 40*d - 8. Let t(n) = v*s(n) - 12*z(n). Find k such that t(k) = 0.
1
Let h(b) = -7*b**4 - 15*b**3 - 16*b**2 - 3*b. Let o(l) = -11*l**4 - 23*l**3 - 24*l**2 - 4*l. Let k(r) = 8*h(r) - 5*o(r). Solve k(j) = 0 for j.
-2, -1, 0
Let u = -4 - -3. Let i = 1 - u. Solve 7*l + 2*l**i - 5*l - 4*l**2 = 0 for l.
0, 1
Let x = 2 - -1. Suppose 0 = x*m + 3 - 15. Solve 2*i + 6*i**m + 5/2*i**3 - 9/2*i**5 + 0 - 6*i**2 = 0.
-1, 0, 2/3, 1
Suppose 12 = -2*t + 2. Let h(d) = -d**3 - 4*d**2 + 6*d + 7. Let r be h(t). What is z in 0*z**3 + 5*z - z**3 - 2*z**r - 6*z = 0?
-1, 0
Suppose -2 = -u - 0. Let h(t) be the third derivative of 0*t - 1/6*t**4 + 0*t**3 + 2/5*t**6 + 0 - 3/10*t**5 + 16/15*t**7 - u*t**2. Solve h(f) = 0 for f.
-1/4, 0, 2/7
Let m(r) be the third derivative of -