(x). Factor k(g).
-2*g*(g - 1)*(5*g - 2)
Factor -1/3*s + s**4 + 2/3 + 1/3*s**3 - 5/3*s**2.
(s - 1)*(s + 1)**2*(3*s - 2)/3
Let r(t) be the first derivative of t**6/8 - 3*t**5/10 - 3*t**4/8 + 2*t**3 - 21*t**2/8 + 3*t/2 - 11. Let r(z) = 0. Calculate z.
-2, 1
Let p(c) = c**5 + c**4 - c**3 - c**2 + c - 1. Let z(h) = -7*h**5 - 27*h**4 - 43*h**3 - 33*h**2 - 12*h + 2. Let r(q) = 2*p(q) + z(q). Factor r(s).
-5*s*(s + 1)**3*(s + 2)
Suppose 0*u + 0*u**2 - 2/15*u**3 + 0 = 0. Calculate u.
0
Let c(v) = 7*v**4 + 4*v**3 - 6*v**2 + 8*v - 7. Let p(z) = 15*z**4 + 9*z**3 - 13*z**2 + 17*z - 15. Let w(u) = 13*c(u) - 6*p(u). Factor w(l).
(l - 1)**3*(l + 1)
Let c(f) be the first derivative of 2*f**5/15 - f**4/3 - 2*f**3/9 + 2*f**2/3 + 3. Factor c(h).
2*h*(h - 2)*(h - 1)*(h + 1)/3
Let k(o) be the second derivative of o**7/420 - o**5/120 - o**2/2 + 8*o. Let j(s) be the first derivative of k(s). Factor j(c).
c**2*(c - 1)*(c + 1)/2
Let f(o) be the second derivative of 1/18*o**3 - 1/60*o**5 - 1/36*o**4 + 0*o**2 + 1/90*o**6 - o + 0. Find p, given that f(p) = 0.
-1, 0, 1
Suppose 2*z + 5 = 7*z. Let j(r) = -2*r**5 - 4*r**4 - 2*r**3 + r**2. Let m(l) = l**2. Let s(x) = z*j(x) - m(x). Factor s(k).
-2*k**3*(k + 1)**2
Let p(w) = w**2 - 2*w. Let o(z) = 5*z**3 + 8*z**2 + 9*z. Let d(v) = -o(v) - 2*p(v). Determine j so that d(j) = 0.
-1, 0
Let v(g) be the second derivative of -g**6/30 + g**4/6 - g**2/2 - 4*g. Let v(j) = 0. Calculate j.
-1, 1
Let h(r) be the second derivative of -r**7/840 + r**6/480 + r**5/240 - r**4/96 + 3*r**2/2 + r. Let m(f) be the first derivative of h(f). Factor m(u).
-u*(u - 1)**2*(u + 1)/4
Let d be (-4)/(-10) + (-84)/385. What is a in -12/11*a + d*a**2 + 18/11 = 0?
3
Factor -3/4*r**3 + 0 - 1/8*r**4 - 1/2*r - 9/8*r**2.
-r*(r + 1)**2*(r + 4)/8
Let l(p) be the second derivative of -p**5/35 + 4*p**4/21 - 10*p**3/21 + 4*p**2/7 - p. Factor l(y).
-4*(y - 2)*(y - 1)**2/7
Let y = 441 + -3078/7. Suppose -1/7 + 3/7*k**3 - 23/7*k**2 + y*k + 36/7*k**4 = 0. Calculate k.
-1, 1/4, 1/3
Let o(i) be the second derivative of i**4/42 + i**3/7 - i. Factor o(m).
2*m*(m + 3)/7
Let g(h) be the first derivative of -h**5/5 + 2*h**3/3 - h - 6. Factor g(t).
-(t - 1)**2*(t + 1)**2
Suppose 0 - 130*q + 1 + 126*q + 5*q**2 - 2*q**3 = 0. What is q?
1/2, 1
Let c(o) = -o**2 + 5*o + 1. Let t be c(5). Suppose 5*q - 9 = t. Find i, given that 0 + 1/4*i**3 - 1/4*i + 0*i**q = 0.
-1, 0, 1
Let h = -1119/10 - -112. Let o(w) be the second derivative of -h*w**3 - 2*w - 1/60*w**4 - 1/5*w**2 + 0. Factor o(c).
-(c + 1)*(c + 2)/5
Let k(m) = -5*m**2 - 4*m - 5. Let w(b) = 11*b**2 + 9*b + 11. Let a(l) = -13*k(l) - 6*w(l). Solve a(i) = 0.
-1
Let k(p) be the first derivative of 0*p**3 - 1/2*p**2 + 2 + 1/12*p**4 - 2*p. Let t(d) be the first derivative of k(d). Find s such that t(s) = 0.
-1, 1
Let j(m) = 72*m**4 + 88*m**3 + 28*m**2 + 8*m + 4. Let w(r) = r**3 - r**2 + r + 1. Let f(h) = -j(h) + 4*w(h). What is k in f(k) = 0?
-1/2, -1/3, 0
Let y(g) = g**3 - 4*g**2 - 6*g + 7. Let h be y(5). Suppose -4*r + 14 = h. Factor 0 - 2/11*l**2 + 0*l - 4/11*l**r - 2/11*l**4.
-2*l**2*(l + 1)**2/11
Let b(j) be the second derivative of 0 + 1/9*j**3 + 1/6*j**4 + 3*j + 1/45*j**6 + 1/10*j**5 + 0*j**2. What is z in b(z) = 0?
-1, 0
Let b(k) be the third derivative of k**6/120 + k**5/45 - 5*k**4/72 - k**3/9 - 4*k**2. Factor b(s).
(s - 1)*(s + 2)*(3*s + 1)/3
Let k(j) = -j**2. Let a(y) = 2*y**3 + 3*y**2 + 6*y + 2. Let s(f) = -2*a(f) + 6*k(f). Let s(p) = 0. Calculate p.
-1
Let p be -1*21/6*(-9)/7. Let k(s) be the first derivative of 7/2*s**4 + 3 - 6/5*s**5 + p*s**2 + 1/6*s**6 - 2*s - 16/3*s**3. Find o such that k(o) = 0.
1, 2
Let w(i) = 8*i**5 - 18*i**4 + 15*i**3 - 5*i**2 + 3*i. Let s(a) = -9*a**5 + 19*a**4 - 15*a**3 + 5*a**2 - 4*a. Let h(y) = 3*s(y) + 4*w(y). Factor h(j).
5*j**2*(j - 1)**3
Let y(a) = a**3 - 8*a**2 - a + 8. Let s(v) = -2*v**2 + 2. Let t(f) = 9*s(f) - 2*y(f). Factor t(q).
-2*(q - 1)*(q + 1)**2
Let k(w) be the first derivative of -w**6/1440 + w**4/96 + w**3 - 3. Let h(p) be the third derivative of k(p). Factor h(z).
-(z - 1)*(z + 1)/4
Let m(u) be the second derivative of 4*u**7/21 - 11*u**6/15 + 9*u**5/10 - u**4/6 - u**3/3 - 7*u. Solve m(d) = 0.
-1/4, 0, 1
Let d = -145/14 + 76/7. Let -d*h**2 - h - 1/2 = 0. What is h?
-1
Let c(g) be the first derivative of -1 + 1/2*g**2 + 0*g**4 + 0*g + 1/120*g**5 + 0*g**3. Let r(u) be the second derivative of c(u). Factor r(p).
p**2/2
Let x(s) be the first derivative of -s**4/2 + 18*s**3 - 243*s**2 + 1458*s + 11. Solve x(h) = 0.
9
Let y(r) be the third derivative of -r**5/30 - r**4/12 - 3*r**2. Factor y(g).
-2*g*(g + 1)
Let t be 0 - (57/60 + -1). Let u(g) be the second derivative of -1/4*g**2 - 1/60*g**6 + t*g**5 + g - 1/12*g**3 + 0 + 1/12*g**4 - 1/84*g**7. Factor u(d).
-(d - 1)**2*(d + 1)**3/2
Let q(k) be the first derivative of -1/10*k**2 + 1/5*k**3 + 0*k + 0*k**4 - 4/25*k**5 - 2. Factor q(f).
-f*(f + 1)*(2*f - 1)**2/5
Let p(q) be the second derivative of q**5/110 - 2*q**4/33 - q**3/33 + 4*q**2/11 + 4*q - 2. Factor p(a).
2*(a - 4)*(a - 1)*(a + 1)/11
Suppose -4*p - 14 = -q, -2*p = q - 3 + 7. Factor 3*y**q + y**3 - 5*y**3 + y**3 - 3 + 3*y.
-3*(y - 1)**2*(y + 1)
Let j(h) be the third derivative of h**6/60 + h**5/9 + h**4/4 + 2*h**3/9 - 6*h**2. Factor j(x).
2*(x + 1)*(x + 2)*(3*x + 1)/3
Let g = -2066125/9 - -229243. Let m = -326 - g. Solve 0*n + 0 - 22/9*n**3 + 32/9*n**4 - 14/9*n**5 + m*n**2 = 0 for n.
0, 2/7, 1
Let w be (-3)/(-6) + 26/4. Factor -q**5 - 5*q**3 - 10*q**4 - 2*q**2 + 24*q**4 - w*q**5 + q**3.
-2*q**2*(q - 1)**2*(4*q + 1)
Let i(p) be the first derivative of -p**5/30 + p**4/72 + 4*p**3/9 - p**2/3 + 2*p + 7. Let r(h) be the first derivative of i(h). Find b such that r(b) = 0.
-2, 1/4, 2
Let n(f) be the second derivative of f**7/315 - f**6/225 - f**5/50 + f**4/18 - 2*f**3/45 - 4*f. What is s in n(s) = 0?
-2, 0, 1
Let p(k) be the second derivative of 3*k + 1/75*k**6 + 0*k**2 - 1/25*k**5 + 0*k**3 + 1/30*k**4 + 0. Factor p(l).
2*l**2*(l - 1)**2/5
Suppose 3/4*k**2 + 9/2*k - 21/4 = 0. What is k?
-7, 1
Let b = -35 + 39. Let h be (1/3)/(2/4). Let 0*g + 0 - 1/3*g**b - 1/3*g**2 - h*g**3 = 0. Calculate g.
-1, 0
Let j be ((-17)/136)/((-3)/6). Suppose -1/4*g**2 - j*g + 0 = 0. What is g?
-1, 0
Let x(d) be the second derivative of d**9/22680 + d**8/10080 - d**7/1890 + 7*d**4/12 + 5*d. Let k(l) be the third derivative of x(l). Factor k(w).
2*w**2*(w - 1)*(w + 2)/3
Let m(l) be the first derivative of 7*l**4/26 + 4*l**3/3 + 20*l**2/13 - 16*l/13 - 10. Find c, given that m(c) = 0.
-2, 2/7
Let z = 3/404 - -1583/4444. Determine n so that 0 + 6/11*n**3 - 2/11*n**5 - 10/11*n**2 + 2/11*n**4 + z*n = 0.
-2, 0, 1
Factor 49*p**4 + 2*p**3 + 2*p**3 - 35*p**4.
2*p**3*(7*p + 2)
Suppose -8*j = -3*j + 5. Let d be j*4*2/(-12). Factor 2/3 + d*l**2 - 4/3*l.
2*(l - 1)**2/3
Let t(k) be the second derivative of -k**5/10 - k**4/2 - k. Let t(v) = 0. Calculate v.
-3, 0
Suppose 0 = 2*n - 5*s + 134 - 50, -3*s = -3*n - 108. Let h be (n/20)/((-4)/10). Factor 0*g**2 + 0 + 1/2*g**h + 0*g**3 - 1/4*g**5 + 0*g.
-g**4*(g - 2)/4
Let m be 2/(-8) - 303/(-12). Suppose 0 = -4*u - 5 + m. What is j in -4*j**2 - 8*j**3 + 7*j**4 + 3*j**4 + 6*j**2 - 4*j**u = 0?
0, 1/2, 1
Suppose -1 = -w - 4*n - 5, -16 = -3*w - 5*n. Let q(g) = -g**3 + 11*g**2 + 13*g - 10. Let l be q(w). Solve 0 - 3/2*i**4 + 3*i**l - 3/2*i**3 + 0*i = 0.
-2, 0, 1
Factor 3/4*x**5 - 3/4*x + 0 - 3/2*x**2 + 0*x**3 + 3/2*x**4.
3*x*(x - 1)*(x + 1)**3/4
Factor 9*r + 243*r**3 + 81*r**2 + 1/3.
(9*r + 1)**3/3
Let d = -9 - -12. Determine p so that p + 3*p**2 + p**4 + 0*p - 22*p**3 + 25*p**d = 0.
-1, 0
Let r = -12 + -1. Let x(y) = -y**3 + 12*y**2 - 6*y + 2. Let a(g) = 2*g**3 - 25*g**2 + 11*g - 3. Let k(s) = r*x(s) - 6*a(s). Find j, given that k(j) = 0.
2
Let c(g) be the first derivative of g**6/30 + 2*g**5/15 + g**4/6 - g**2/6 - 2*g + 7. Let k(h) be the first derivative of c(h). Solve k(a) = 0.
-1, 1/3
Let l(o) be the second derivative of o**4/30 - 8*o**3/15 + 7*o**2/5 + 16*o. Solve l(f) = 0 for f.
1, 7
Let r(m) = -2*m**3 + 2*m**2 - m. Let b be r(1). Let i be (0/(-2 + b))/1. Factor 2*x**3 - 3*x + 2*x**2 - 2*x**4 + i*x + x.
-2*x*(x - 1)**2*(x + 1)
Suppose -4*j + j = 0. Let r(y) be the third derivative of 1/840*y**7 + 3*y**2 + 0*y**3 - 1/240*y**6 + j + 1/240*y**5 + 0*y**4 + 0*y. Factor r(v).
v**2*(