w*(w - 1)**2*(w + 1)**2/7
Let n(l) be the second derivative of -3*l**4/4 - 2*l**3 - 3*l**2/2 + 11*l. Factor n(o).
-3*(o + 1)*(3*o + 1)
Let b(v) = 4*v**2 - 12*v + 3. Suppose i - 3 = 0, 5*k + 3*i = 10 + 39. Let o(q) = 6*q**2 - 18*q + 4. Let n(m) = k*b(m) - 5*o(m). Factor n(p).
2*(p - 2)*(p - 1)
Let p = -1104/7 + 158. Factor 4/7 - p*q**2 + 2/7*q.
-2*(q - 2)*(q + 1)/7
Let a = 6294/11 + -572. Factor -2/11*v**3 + 0*v**2 + 0*v + 0*v**4 + 0 + a*v**5.
2*v**3*(v - 1)*(v + 1)/11
Let o(g) be the second derivative of 5*g**4/36 + 5*g**3/9 + 23*g. What is f in o(f) = 0?
-2, 0
Let g be (-6)/28*(-16)/6. Find t, given that 0 - 2/7*t + 0*t**2 + g*t**3 - 2/7*t**5 + 0*t**4 = 0.
-1, 0, 1
Suppose -14 = -6*c + 28. Determine d so that -c*d**4 + 8*d**2 - 3*d**3 + 18*d**4 + 7*d**4 - 14*d**2 = 0.
-1/2, 0, 2/3
Let h = -29 + 31. What is p in -4/3 + 2/3*p**3 - 2*p + 0*p**h = 0?
-1, 2
Let n(k) = -k**4 - k**3 + k**2 - 1. Let y(z) = 42*z**4 - 35*z**3 - 38*z**2 + 28*z - 11. Let q(o) = -21*n(o) + 3*y(o). Factor q(g).
3*(g - 1)*(g + 1)*(7*g - 2)**2
Let o(g) be the second derivative of g**5/10 - g**4/18 + 11*g. Factor o(f).
2*f**2*(3*f - 1)/3
Let o(p) = -p. Let j be o(-2). Suppose 16 = 2*x + 6*x. Factor -2*f**j + x + 2*f - 2.
-2*f*(f - 1)
Let t(z) be the second derivative of 4*z + 1/56*z**7 + 0 + 0*z**4 + 0*z**3 + 0*z**2 + 1/80*z**5 - 1/30*z**6. Find y, given that t(y) = 0.
0, 1/3, 1
Let b be (11 + -1)*(-22)/(-198). Find l such that -b*l**3 + 2/9*l + 0 + 2/9*l**2 + 2/3*l**4 = 0.
-1/3, 0, 1
Let a(n) be the second derivative of n**5/80 - n**4/48 - n**3/12 - 3*n. What is j in a(j) = 0?
-1, 0, 2
Factor 1/3*m**2 + 1/3*m**5 - 1/3*m**4 + 0 - 1/3*m**3 + 0*m.
m**2*(m - 1)**2*(m + 1)/3
Let g(x) be the second derivative of -x**4/16 + x**3/4 - 3*x**2/8 + 15*x. Determine j, given that g(j) = 0.
1
Let v(t) be the third derivative of 7*t**7/60 - 7*t**6/18 - 13*t**5/15 - 2*t**4/3 - t**3/3 - 2*t**2. Let n(q) be the first derivative of v(q). Factor n(s).
2*(s - 2)*(7*s + 2)**2
Find o such that 3/7*o**4 - 1/7 - 1/7*o**5 - 2/7*o**2 - 2/7*o**3 + 3/7*o = 0.
-1, 1
Let u(w) be the first derivative of w**4/30 - 4*w**3/15 + 4*w**2/5 + 4*w + 2. Let s(i) be the first derivative of u(i). Determine g so that s(g) = 0.
2
Let r(f) be the third derivative of -1/3*f**3 + 1/30*f**5 + 0 + 0*f + 1/60*f**6 - 1/12*f**4 - f**2. Suppose r(g) = 0. What is g?
-1, 1
Let l(n) be the third derivative of -7*n**6/204 - 2*n**5/255 + n**4/51 + 6*n**2. Suppose l(i) = 0. What is i?
-2/5, 0, 2/7
Let r be 12/9*(-9)/(-6). Let j(x) be the second derivative of -1/24*x**4 + 1/4*x**r + 0 + 0*x**3 + x. Let j(c) = 0. Calculate c.
-1, 1
Let i(x) be the second derivative of -3/2*x**5 + 3/2*x**2 - 1/14*x**7 + 1/2*x**6 + 0 - 3*x + 5/2*x**4 - 5/2*x**3. Factor i(p).
-3*(p - 1)**5
Let v(n) be the first derivative of -16*n - 84*n**2 + 4 - 483/2*n**4 - 628/3*n**3 - 98*n**5. Solve v(x) = 0.
-1, -2/5, -2/7
Let i(g) = -g**2 + 2*g - 1. Let y be i(3). Let d be 8/10*(-10)/y. Let -8*z**2 + d*z**4 + 4*z**4 + z**5 - 7*z - 2*z**3 - 4*z**4 - 2 = 0. Calculate z.
-1, 2
Let a be ((-4)/(-1))/((-4)/(-18)). Factor -4*i**2 - 16*i - a*i**4 - 48*i**3 - 40*i**2 + 20 - 22.
-2*(i + 1)**2*(3*i + 1)**2
Let t(m) be the second derivative of -m**6/12 + m**5/4 - 5*m**3/6 + 5*m**2/4 - 12*m. Factor t(l).
-5*(l - 1)**3*(l + 1)/2
Let l(i) be the second derivative of -i**4/12 + 5*i**3 - 225*i**2/2 + 54*i. Factor l(v).
-(v - 15)**2
Let g be (-6)/(-27) - (98/(-45) + 2). Suppose 2/5*z - g*z**2 + 0 = 0. What is z?
0, 1
Suppose 3*j + 7 = -5*r, -4*j = -4*r + 3*r - 6. Let u be j*(4 - 1) - 1. Factor -n + 0*n + 0*n - n**u.
-n*(n + 1)
Let p be 437/276 + 12/(-9). Factor -1/2 + p*v**3 - 1/4*v + 1/2*v**2.
(v - 1)*(v + 1)*(v + 2)/4
Let u(y) = 6*y**5 - 6*y**4 + 3*y**3 - 3*y + 3. Let h(l) = 13*l**5 - 13*l**4 + l**3 + 7 + 5*l**3 + l**3 - 7*l. Let j(p) = 3*h(p) - 7*u(p). Factor j(k).
-3*k**4*(k - 1)
Solve 23/3*n + 2/3*n**4 + 2 + 32/3*n**2 - 1/3*n**5 + 6*n**3 = 0.
-1, 6
Factor -1/4 - 6*r**3 - 4*r**4 - 1/4*r**2 + 3/2*r.
-(r + 1)**2*(4*r - 1)**2/4
Let t = -121/8295 - -2/395. Let w = t + 221/1155. Factor 4/11*p**2 - 2/11*p**3 - 4/11 + w*p.
-2*(p - 2)*(p - 1)*(p + 1)/11
Let y(t) be the second derivative of 2*t**6/3 - 3*t**5/5 - 2*t**4/3 - 7*t. Factor y(p).
4*p**2*(p - 1)*(5*p + 2)
Let g be (10 - 14) + (3 - -1). Determine k, given that g + 2/9*k + 2/9*k**3 - 4/9*k**2 = 0.
0, 1
Let n(h) = -h**3 + 9*h**2 - 20*h + 2. Let z be n(4). Factor 4/5*o**z + 2/5*o**5 + 0*o**3 - 2/5*o + 0 - 4/5*o**4.
2*o*(o - 1)**3*(o + 1)/5
Let x(c) be the third derivative of c**8/112 - c**6/20 + c**4/8 + 4*c**2. Factor x(k).
3*k*(k - 1)**2*(k + 1)**2
Suppose 4*h - 5*h + 2 = 0. Let r(u) be the third derivative of 1/108*u**4 - 1/135*u**5 + 1/540*u**6 + u**h + 0*u**3 + 0 + 0*u. Let r(w) = 0. Calculate w.
0, 1
Let y(v) be the second derivative of 0 + v + 0*v**3 - 1/60*v**5 + 0*v**2 + 0*v**4. Determine f so that y(f) = 0.
0
Solve -106*f + 325*f**4 - 125/2*f**5 + 12 + 349*f**2 - 1035/2*f**3 = 0.
2/5, 1, 3
Suppose 7*j = -2*j + 18. Let k(g) be the third derivative of 0*g**3 + 0 + 2*g**j + 1/72*g**4 + 1/180*g**5 + 0*g. What is u in k(u) = 0?
-1, 0
Suppose 11 = 2*g - 1. Let a(y) be the third derivative of 0*y + 0 + 3/4*y**4 + 1/35*y**7 + 2/3*y**3 + 1/2*y**5 + 11/60*y**g - 3*y**2. Factor a(i).
2*(i + 1)**3*(3*i + 2)
Let b(y) be the first derivative of -y**4/20 + 3*y**2/10 - 2*y/5 + 6. Factor b(p).
-(p - 1)**2*(p + 2)/5
Let 0 + r + 2*r**3 + 1/2*r**4 + 5/2*r**2 = 0. Calculate r.
-2, -1, 0
Suppose 0 = 5*r - 2*r - 6. Let m(s) be the first derivative of 0*s + s**4 - 6/5*s**5 + 1 - 2/9*s**3 + 0*s**r. Solve m(h) = 0 for h.
0, 1/3
Let x = 15 + -11. Let h = 13 + -9. Factor -2*i**5 + i**3 + 2*i**4 + i**2 - 4*i**h + i**5 + i**x.
-i**2*(i - 1)*(i + 1)**2
Let s be (35/2)/(10/80). Let q be (1/(-5))/((-16)/s). Let -3/4*w**2 - q*w**3 + 0 + 1/2*w + 3/4*w**4 + 5/4*w**5 = 0. Calculate w.
-1, 0, 2/5, 1
Let q(y) = y**3 - 6*y**2 + y - 3. Let k be q(6). Let 7*x**5 + k*x**4 - 3*x**2 + 3*x**3 - 10*x**5 + 0*x**4 = 0. Calculate x.
-1, 0, 1
Let p = 7 + 7. Let n be ((-1)/p)/((-11)/44). Factor 0 + 6/7*t**3 + 0*t + 4/7*t**2 + n*t**4.
2*t**2*(t + 1)*(t + 2)/7
Factor -2/13*j**5 - 28/13*j**3 + 4/13 + 12/13*j**4 + 32/13*j**2 - 18/13*j.
-2*(j - 2)*(j - 1)**4/13
Let s(x) be the third derivative of -x**8/1344 + x**7/420 - x**5/120 + x**4/96 - 6*x**2. Let s(g) = 0. What is g?
-1, 0, 1
Factor 14/3*m - 4/3 - 14/3*m**2 + 4/3*m**3.
2*(m - 2)*(m - 1)*(2*m - 1)/3
Let k(y) be the second derivative of y**6/15 - 2*y**5/5 + 5*y**4/6 - 2*y**3/3 + 4*y. Factor k(n).
2*n*(n - 2)*(n - 1)**2
Let y(j) be the first derivative of 2*j + 3*j + 1 + 3*j**3 - j + 6*j**2. Factor y(g).
(3*g + 2)**2
Factor 12*r**3 + 38*r - 6*r**3 + 2*r**3 - 6 - 66*r**2 + 10*r**3.
2*(r - 3)*(3*r - 1)**2
Let j = 2 + 1. Suppose -5*d + 5 = -4*a, -d - j*d = -3*a - 4. Let 0*v**3 + a + 4*v**2 + 0*v**2 + 5*v + 2 + v**3 = 0. What is v?
-2, -1
Let q(h) be the second derivative of -h**4/9 + 4*h**3/9 + 2*h**2 - 22*h. Factor q(m).
-4*(m - 3)*(m + 1)/3
Let b = -4234/63 + 472/7. Factor 2/3*z**2 + 2/3*z**3 + 0 + b*z**4 + 2/9*z.
2*z*(z + 1)**3/9
Let d(v) be the third derivative of 1/210*v**5 + 3/7*v**3 - 1/14*v**4 + 0 + 0*v + 2*v**2. Solve d(z) = 0.
3
Find c, given that c**2 - 2*c - 15 + c + 13 = 0.
-1, 2
Factor -n**3 + 17/5*n**2 + 0 - 6/5*n.
-n*(n - 3)*(5*n - 2)/5
Let l(i) = -i**4 - 5*i**3 - i**2 + 5*i - 2. Let y(x) = 2*x**4 + 9*x**3 + 3*x**2 - 9*x + 5. Let k(z) = -5*l(z) - 2*y(z). Solve k(u) = 0.
-7, -1, 0, 1
Let z = 107 + -107. Factor -2/9*s**5 + 0 - 8/3*s**3 - 4/3*s**4 - 16/9*s**2 + z*s.
-2*s**2*(s + 2)**3/9
Let p(c) = c**2 - 1. Let y(s) = 4*s**2 + 5*s - 11. Let m(q) = -10*p(q) + 2*y(q). Solve m(t) = 0.
2, 3
Let q(n) be the second derivative of 2*n**7/7 + 22*n**6/15 + 14*n**5/5 + 2*n**4 - 2*n**3/3 - 2*n**2 - 6*n. Suppose q(y) = 0. What is y?
-1, 1/3
Factor 3 - 2*h**2 + 5*h**2 - 2*h**2 + 4*h + 0*h**2.
(h + 1)*(h + 3)
Factor -2/3 - 2/3*g**5 - 4/3*g**3 - 4/3*g**2 + 2*g**4 + 2*g.
-2*(g - 1)**4*(g + 1)/3
Suppose 18 = 2*h + h. Let g be 2/(-5) - 14/(-10). Suppose h*r**2 + 9*r**3 - 1 + g - 13*r + 14*r = 0. Calculate r.
-1/3, 0
Let z be 116/14 - 4/14. Let b(r) = -3*r**2 - 4*r**2 + z*r**2. Let l(c) = 2*c**2 - 3*c - 2. Let d(f) = 3*b(f) - l(f). Factor d(q).
(q + 1)*(q + 2)
Let n = 1757/9 - 195. Factor -2/9 + 2/9*s + 2/9*s**2 - n*s**3.
-2*(s - 1