 - 10*a**3 + a**4 - 19*a**2 + 9*a = 0.
-2, 1/4, 1, 2
Let o(y) be the second derivative of -y**4/28 + 47*y**3/7 - 6627*y**2/14 - 91*y - 2. Factor o(i).
-3*(i - 47)**2/7
Let r be 134*(-1)/(-4)*2. Factor r - 67 - 10*b + 5*b**2.
5*b*(b - 2)
Suppose -4*k + 0*k + 36 = 4*a, 5*k - 9 = 4*a. Find i, given that -111*i + 111*i + 4*i**2 - a = 0.
-1, 1
Suppose 0 = 5*h - y - 54, 4*h - y - 47 = -4*y. Let t(n) = -n**2 + 12*n - 9. Let j be t(h). Factor 2*o**j - 3*o - o**5 + 4*o - o + 3*o**3.
-o**2*(o - 2)*(o + 1)**2
Let n(y) be the second derivative of 0 - 1/10*y**6 + 3/20*y**5 + 0*y**4 + 0*y**2 - 6*y + 0*y**3. Factor n(k).
-3*k**3*(k - 1)
Factor 304 - 8*u + 37*u**2 - u**4 - 70*u**3 + 3*u**4 - 265*u**2.
2*(u - 38)*(u - 1)*(u + 2)**2
Let i = -126 + 139. Suppose -i*z - 2*z = -30. Solve h - 2/7 + 9/7*h**z = 0 for h.
-1, 2/9
Factor -8/7*w + 0 + 2/7*w**4 - 8/7*w**2 + 2/7*w**3.
2*w*(w - 2)*(w + 1)*(w + 2)/7
Let k(x) = -2*x**5 + 10*x**4 - 8*x**3 - 2*x**2 + 2. Let t(l) = -l**2 + 1. Let g(q) = k(q) - 2*t(q). Factor g(i).
-2*i**3*(i - 4)*(i - 1)
Let g(i) be the second derivative of 0 - 3/5*i**2 + 2/15*i**3 + 1/30*i**4 + 17*i. Suppose g(u) = 0. What is u?
-3, 1
Let x(r) be the first derivative of -45/4*r**4 + 3/4*r + 8 + 27/5*r**5 + 15/4*r**2 + 13/4*r**3. Factor x(n).
3*(n - 1)**2*(6*n + 1)**2/4
Let v(h) = h**2. Let w(i) = 9*i**2 - 4*i. Let t be 2*6/3 + (2 - 5). Let x(o) = t*w(o) - 5*v(o). Suppose x(a) = 0. What is a?
0, 1
Let t(w) = 5*w**4 + 2*w**3 - 20*w**2 + 2. Let d(o) = -5*o**4 - 3*o**3 + 20*o**2 - 3. Let x(j) = 2*d(j) + 3*t(j). Suppose x(z) = 0. What is z?
-2, 0, 2
Suppose 2*q - t + 4*t + 37 = 0, 2*q + 2*t + 38 = 0. Let f be q/(-15) - 2/3. Factor f - 4/3*r + 2/3*r**2.
2*(r - 1)**2/3
Let q(y) = 8*y - 12. Let u be q(8). Let t = u + -49. Let 0*k + 0 + k**2 + 1/3*k**t = 0. What is k?
-3, 0
Let x(g) = -5 + 10*g**4 - 16*g**3 + 2 + 1 - 6*g - 6*g**5 + 16*g**2. Let u(c) = c**5 - c**3 + c**2 - c + 1. Let b(f) = 4*u(f) + x(f). Factor b(m).
-2*(m - 1)**5
Let l(j) = -j**3 + 11*j**2 + 10*j + 17. Let v be l(12). Let a(q) = 3*q**2 - 4. Let y(g) = 5*g**2 + g - 8. Let p(w) = v*a(w) + 4*y(w). Factor p(z).
-(z - 2)**2
Let q(i) be the second derivative of i**4/4 + 75*i**3 + 447*i**2/2 + 2*i - 80. Factor q(r).
3*(r + 1)*(r + 149)
Factor -121/2 + 33*n - 9/2*n**2.
-(3*n - 11)**2/2
Let d(v) = v**2 + 11*v + 4. Let b be d(-10). Let c(n) = -n - 1. Let p(l) = l**3 - 3*l**2 + 9*l + 5. Let s(m) = b*c(m) - p(m). Factor s(z).
-(z - 1)**3
Let b = -5953 + 136921/23. Factor 0 - 2/23*k**2 + b*k**5 - 2/23*k**3 + 0*k + 2/23*k**4.
2*k**2*(k - 1)*(k + 1)**2/23
Let q = 35903/2 + -17940. Let 35/3*b**3 + 14/3*b - q*b**2 - 25/6*b**4 - 2/3 = 0. What is b?
2/5, 1
Find j such that 16*j - 4*j**2 + 37*j**3 + 0*j - 39*j**3 = 0.
-4, 0, 2
Let i be (-10)/(-148)*(3 - (-1524)/100). Let f = i - 16/37. Suppose -f - 8/5*g**4 + 22/5*g - 42/5*g**2 + 32/5*g**3 = 0. What is g?
1/2, 1, 2
Factor 4/7*f + 2/7*f**2 - 48/7.
2*(f - 4)*(f + 6)/7
Let u(k) be the third derivative of -k**6/60 - k**5/6 + k**4/3 + 20*k**3/3 + 2*k**2 + 7. Factor u(y).
-2*(y - 2)*(y + 2)*(y + 5)
Let q(v) = -v**4 + 4*v**3 + v**2 - 2*v. Let z be (-8 + 7)*4/1. Let k(m) = m**4 - 5*m**3 - m**2 + 2*m. Let x(o) = z*k(o) - 6*q(o). Factor x(b).
2*b*(b - 2)*(b - 1)*(b + 1)
Let y = -10/41 + 71/123. Determine p so that -y*p + 0 + 0*p**2 + 1/3*p**3 = 0.
-1, 0, 1
Suppose 12 = 2*y - 4*s - 18, -4*s = 3*y + 5. Let k(v) be the first derivative of 2 + 2/35*v**y + 0*v + 1/14*v**4 - 1/7*v**2 - 2/21*v**3. Factor k(x).
2*x*(x - 1)*(x + 1)**2/7
Let y(s) be the second derivative of -s**6/120 - 11*s**5/80 - 15*s**4/16 - 27*s**3/8 - 27*s**2/4 + 104*s. Factor y(c).
-(c + 2)*(c + 3)**3/4
Let z(w) be the third derivative of 0 + 4*w**2 + 0*w**3 + 1/84*w**7 - 1/24*w**5 + 0*w + 0*w**6 + 0*w**4. Suppose z(h) = 0. Calculate h.
-1, 0, 1
Let w be 1/(-3) - 14/(-6). Let q(i) = i + 2. Let b be q(2). Factor 4*y**2 - y**w + y - y**3 + 32*y**b - 35*y**4 + 2*y**5 - 2*y.
y*(y - 1)**2*(y + 1)*(2*y - 1)
Let o(l) be the second derivative of l**5/10 - 5*l**4/3 + 17*l**3/3 - 8*l**2 - 201*l. Factor o(p).
2*(p - 8)*(p - 1)**2
Factor 62/21*u**2 - 248/21 + 2/21*u**3 - 8/21*u.
2*(u - 2)*(u + 2)*(u + 31)/21
Suppose -2*i + k + 35 = -4*k, 4*i - 135 = -3*k. Let c = 32 - i. Find a such that 0 - 6/7*a + 2/7*a**c = 0.
0, 3
Let w be -4 + (6/((-48)/(-170)))/((-60)/(-24)). Let c = -3 + 6. Factor -7/2*j**c + w*j**2 + 0 - j.
-j*(j - 1)*(7*j - 2)/2
Let y(n) = 9*n**2 - 33*n + 39. Let p(h) = 2*h**2 + 1. Let r(z) = -5*p(z) + y(z). Let r(j) = 0. What is j?
-34, 1
Let v(a) = 10*a**4 - 36*a**3 + 27*a**2 - 11*a + 5. Let r = -36 + 40. Let l(y) = 11*y**4 - 36*y**3 + 27*y**2 - 10*y + 4. Let n(w) = r*v(w) - 5*l(w). Factor n(h).
-3*h*(h - 1)**2*(5*h - 2)
Let x(f) be the third derivative of -f**8/896 - f**7/80 - 3*f**6/160 - 32*f**2. Let x(m) = 0. What is m?
-6, -1, 0
Suppose 9*a**2 + 270 - 165*a + 23*a**2 - 67*a**2 + 25*a**2 = 0. Calculate a.
-18, 3/2
Let u(m) be the first derivative of m**6/27 - 32*m**5/45 + 13*m**4/3 - 224*m**3/27 + 49*m**2/9 - 92. Find j such that u(j) = 0.
0, 1, 7
Let v(u) be the third derivative of u**9/5040 - u**7/280 - u**6/120 - 9*u**4/8 + 24*u**2. Let o(x) be the second derivative of v(x). Find d such that o(d) = 0.
-1, 0, 2
Let t be ((-104)/(-65))/(1/10). What is i in -t*i + 3 + 6*i + 8*i - 2*i**2 + 1 = 0?
-2, 1
Suppose -r + 308*y = 303*y - 22, 4*r = -2*y. Let b(d) be the second derivative of -3/7*d**3 + 1/6*d**4 - d + 2/7*d**r + 0. What is v in b(v) = 0?
2/7, 1
Suppose 8 = -3*p + 7*p. Factor p*k**3 + 2*k**5 + 9*k**3 + 4*k**4 - 4*k**3 - 5*k**3.
2*k**3*(k + 1)**2
Let o(l) be the first derivative of l**5/15 + l**4/12 - 2*l**3/9 - 13. Let o(d) = 0. What is d?
-2, 0, 1
Let d = 2294 + -2291. Factor 0*p + 3/4*p**d - 3/4*p**5 + 0*p**4 + 0*p**2 + 0.
-3*p**3*(p - 1)*(p + 1)/4
Suppose 0 = 4*t - 36, 16 = 6*q - 7*q + 2*t. Solve -10/11 - 8/11*n + 2/11*n**q = 0.
-1, 5
Let o(x) be the third derivative of x**5/80 + 7*x**4/96 + x**3/12 - 2*x**2 + 9*x. Find r such that o(r) = 0.
-2, -1/3
Let z(j) be the second derivative of j**6/480 + j**5/240 - 5*j**4/96 + j**3/8 - 9*j**2 - 28*j. Let u(o) be the first derivative of z(o). Factor u(r).
(r - 1)**2*(r + 3)/4
Let j(o) = 194*o - 5816. Let z be j(30). Factor 0*u + 0*u**2 + 0 + 4/5*u**3 - 4/5*u**z.
-4*u**3*(u - 1)/5
Let o(s) = -20*s - 4. Let k(i) be the second derivative of -i**4/12 - 10*i**3 - 11*i**2/2 + 15*i. Let p(u) = 4*k(u) - 11*o(u). Determine w so that p(w) = 0.
-5, 0
Let x = -21722/17 + 1278. Let 4/17*q**3 + x*q**2 - 6/17*q**4 - 6/17*q + 2/17*q**5 + 2/17 = 0. What is q?
-1, 1
Let 10/3*h**4 + 0*h - 1/3*h**2 + 1/2*h**3 + 0 = 0. What is h?
-2/5, 0, 1/4
Let t(s) be the second derivative of -s**8/840 + s**7/140 - s**6/180 - s**5/20 + s**4/6 + 5*s**3 + 29*s. Let d(y) be the second derivative of t(y). Factor d(k).
-2*(k - 2)*(k - 1)**2*(k + 1)
Let c(x) = -5*x**3 - 100*x**2 + 200*x - 200. Let w(t) = 6*t**2 + t. Let i(u) = -c(u) - 15*w(u). Suppose i(d) = 0. What is d?
-8, 1, 5
Let s be 4528/2304 + 24/(-128). Factor -32/9 - 2/9*g**2 - s*g.
-2*(g + 4)**2/9
Let k(m) be the first derivative of -3 + 3/35*m**5 + 6/7*m**3 + 6/7*m**2 + 3/7*m + 3/7*m**4. Factor k(i).
3*(i + 1)**4/7
Let y(g) be the first derivative of -g**6/600 - g**5/200 + g**4/20 - 13*g**3/3 - 14. Let i(l) be the third derivative of y(l). Determine h so that i(h) = 0.
-2, 1
Let l(k) = -4*k**2 + 166*k + 258. Let d be l(43). Factor -5/2*x**2 + 5*x**4 + 0*x + d - 5/2*x**3.
5*x**2*(x - 1)*(2*x + 1)/2
Let z(b) be the first derivative of b**6/12 + 7*b**5/10 + 11*b**4/8 - 19*b**3/6 - 15*b**2 - 18*b - 515. Let z(w) = 0. Calculate w.
-3, -2, -1, 2
Let x(r) be the first derivative of -64*r**4/3 - 64*r**3/3 + 10*r**2 - 4*r/3 + 514. Factor x(o).
-4*(o + 1)*(8*o - 1)**2/3
Let r = 14 - 9. Suppose 2 = -g + 2*g. Factor 0*j**2 - 4*j**g + 8*j**r - 6*j**3 + 2*j**2.
2*j**2*(j - 1)*(2*j + 1)**2
Let m(c) be the first derivative of -5/2*c**2 - 5*c + 5/4*c**4 + 5/3*c**3 - 5. Suppose m(z) = 0. Calculate z.
-1, 1
Let c = 29692/3 + -9897. Solve -1/6*f**3 + 1/2*f + 0*f**2 + c = 0.
-1, 2
Factor -100*s**2 - s**4 - 102 + 18*s**3 + 78 + 126*s + 269.
-(s - 7)**2*(s - 5)*(s + 1)
Suppose 3*s = 53*v - 49*v + 8, -3*s + 13 = v. Find q, given that -s*q**2 - 56/11*q - 16/11 - 10/11*q**3 = 0.
-2, -2/5
Let j = 57 + -23. Let f = -24 + j. Factor 8*z**5 + 4*z**3 + 0