.
-q*(q - 1)*(q + 1)
Let v be 1 + ((-140)/15)/(-14). Factor 2/3 + v*a - 5/3*a**3 + 7/3*a**4 - 3*a**2.
(a - 1)**2*(a + 1)*(7*a + 2)/3
Let t = 1/1540 + 2309/1540. Factor 0 + 3*d**3 + t*d**4 + 0*d**2 + 0*d.
3*d**3*(d + 2)/2
Factor 2*j**2 + 3 - 1 + 5*j**3 - 2 - 3*j**4 - 10*j**3.
-j**2*(j + 2)*(3*j - 1)
Factor -5/4*w - 1/4*w**3 - 1/2 - w**2.
-(w + 1)**2*(w + 2)/4
Suppose -14*i - 34 = 22. Let h be i + 0 + 1/((-6)/(-42)). Factor -3/5*o**4 + 3/5*o - 9/5*o**2 + 0 + 9/5*o**h.
-3*o*(o - 1)**3/5
Let t be (2*-48)/4*1/(-2). Suppose 11*r = 14*r - t. Factor 8/3*v**2 + 0*v - 4/3*v**3 - r*v**4 + 0.
-4*v**2*(v + 1)*(3*v - 2)/3
Let y = -1329 - -1329. Let c(b) be the third derivative of -b**2 - 1/300*b**5 - 8/15*b**3 - 1/15*b**4 + 0*b + y. Determine n, given that c(n) = 0.
-4
Let s(a) be the first derivative of a**6/10 + 4*a**5/25 - a**4/20 - 2*a**3/15 + 105. Let s(r) = 0. Calculate r.
-1, 0, 2/3
Let l be (-19 - -11)*8/(-192)*6. Find n, given that 0 - 5/3*n**3 - 5/3*n + 10/3*n**l = 0.
0, 1
Find r such that 10*r**4 + 5/4*r**3 + 0 - 25/2*r**2 - 15/4*r**5 + 0*r = 0.
-1, 0, 5/3, 2
Let p = -7545403/11 + 685312. Let b = 635 + p. Solve 4/11*l**3 + 14/11*l + b*l**2 + 4/11 = 0.
-2, -1, -1/2
Let v(p) be the third derivative of -p**6/360 - p**5/60 + 4*p**3/3 + 7*p**2. Let r(w) be the first derivative of v(w). Factor r(s).
-s*(s + 2)
Let w = 32852 - 32852. Factor w*i + 0 - 1/4*i**3 - 1/4*i**2.
-i**2*(i + 1)/4
Let q(j) = -j**3 + 4*j**2 + 268*j - 1533. Let k be q(6). Find c such that -9/8*c**2 + 3/8*c**k + 0*c + 3/2 = 0.
-1, 2
Let t(v) be the third derivative of 0*v**3 + 7*v**2 - 1/210*v**5 + 0*v + 0 - 1/84*v**4. What is f in t(f) = 0?
-1, 0
Let z = 8435 + -8433. What is x in -3/8*x - 1/8*x**4 + 3/8*x**3 + 1/8*x**z + 0 = 0?
-1, 0, 1, 3
Let j be (25 + -15 + -11)*0/(-2). Find u such that 2/3*u**3 + 10/9*u**4 - 2*u**2 + 0*u + j + 2/9*u**5 = 0.
-3, 0, 1
Let w(m) = -3*m + 24. Let b be w(8). Let y be 7/(-3) + 2 - 46/(-30). Solve 0 - 2*j**4 + b*j - y*j**3 + 4/5*j**2 = 0 for j.
-1, 0, 2/5
Let d(r) = -2*r**4 - r**3 - r**2 + 2*r + 1. Let z(h) = -h**4 + 39*h**3 - 42*h**2 + 2*h + 1. Let u(s) = -4*d(s) + 4*z(s). Find n, given that u(n) = 0.
-41, 0, 1
Suppose -5*c + 2*c + 5 = 2*k, -2*k = 4. Suppose 0*o - 3*o = -r - c, -4*r - 3 = -3*o. Factor 0*f + 0*f**2 - 1/2*f**3 + 1/4*f**4 + r.
f**3*(f - 2)/4
Let w be 4/21*(-4 + (-27006)/(-964)). Let x = -2/723 + w. Let x - 2/7*i**3 - 48/7*i + 18/7*i**2 = 0. What is i?
1, 4
Let j(l) = 18*l - 56. Let h be j(3). Let i be (-8 + 7)/(7/h). Factor -8/7*x**4 - 8/7*x**2 + 2/7*x**5 + 0 + i*x + 12/7*x**3.
2*x*(x - 1)**4/7
Suppose 54*s - 20 = 49*s. Factor 2*c**4 + 12*c**2 + 3*c**5 - 6*c**4 - 5*c**s.
3*c**2*(c - 2)**2*(c + 1)
Let l(m) = m**2 - 5*m + 3. Let v be l(3). Let o(y) = y. Let i(x) = -3*x**2 + 27*x + 33. Let h(u) = v*o(u) - i(u). Solve h(w) = 0.
-1, 11
Let g(l) be the first derivative of -3*l**5/100 + l**4/20 + l**3/10 - 3*l**2/10 + 50*l - 40. Let x(s) be the first derivative of g(s). Factor x(z).
-3*(z - 1)**2*(z + 1)/5
Let m be -98 - -105 - (-33)/(-5). Solve 2/5 + m*b**2 - 4/5*b = 0 for b.
1
Let b(g) be the third derivative of g**7/525 + 7*g**6/100 + 37*g**5/150 - 7*g**4/20 - 38*g**3/15 - 7*g**2. Determine l so that b(l) = 0.
-19, -2, -1, 1
Suppose 2*h + 8 = 20. Let r be h/(-9)*60/(-8). Find c, given that 8 - 4*c + 3*c**4 - 40*c**3 + 6*c**5 + 6*c**r - 48*c**2 + 5*c**4 = 0.
-1, 1/3, 2
Let j(b) be the third derivative of b**9/12096 + 5*b**8/8064 - b**7/672 + 13*b**5/60 - 4*b**2. Let v(h) be the third derivative of j(h). Factor v(s).
5*s*(s + 3)*(2*s - 1)/2
Let k(v) be the third derivative of 10*v**2 + 0*v + 4/3*v**3 + 0 - 1/2*v**4 + 0*v**5 + 1/30*v**6. Determine s, given that k(s) = 0.
-2, 1
Let u(k) be the first derivative of k**6/6 - 4*k**5/5 - 6*k**4 + 46*k**3/3 + 215*k**2/2 + 150*k - 452. Suppose u(q) = 0. What is q?
-3, -2, -1, 5
Let 196/5 - 546/5*o + 536/5*o**2 + 36/5*o**4 - 44*o**3 - 2/5*o**5 = 0. Calculate o.
1, 2, 7
Suppose -2*o + 22 = -32. Let s = -21 + o. Factor 5 - 5 - 14*z**2 - 3 + 11*z**2 - s*z.
-3*(z + 1)**2
Determine i so that -66/5*i + 36/5*i**2 - 2/5*i**3 + 32/5 = 0.
1, 16
Let i(a) be the third derivative of a**5/20 + 23*a**4/8 + 83*a**2. Let i(r) = 0. Calculate r.
-23, 0
Let q(y) be the first derivative of y**4/6 + 52*y**3/3 + 676*y**2 + 35152*y/3 - 10. Factor q(l).
2*(l + 26)**3/3
Let 3648/5*i - 312/5*i**3 - 1432/5*i**2 + 1152/5 - 14/5*i**4 = 0. What is i?
-12, -2/7, 2
Let l(y) = y**2 + y - 1. Suppose -r - 7 = 4*u, 2*r = -4*u + 6*r - 32. Let g(q) = -5*q**2 + q. Let c(t) = u*g(t) - 12*l(t). Let c(i) = 0. Calculate i.
1, 4
Let u(r) be the first derivative of -r**7/280 + r**6/16 - 33*r**5/80 + 5*r**4/4 - 2*r**3 - 14*r**2 - 20. Let h(b) be the second derivative of u(b). Factor h(n).
-3*(n - 4)**2*(n - 1)**2/4
Let t(i) be the first derivative of -i**6/6 - 3*i**5/5 + 5*i**4/4 + i**3 - 2*i**2 + 19. Factor t(c).
-c*(c - 1)**2*(c + 1)*(c + 4)
Solve -9/2*k**3 - 22/3 + 9/2*k**5 - 99/2*k**4 + 293/6*k**2 + 8*k = 0.
-2/3, 1/3, 1, 11
Let r(p) be the third derivative of -p**5/15 + 6*p**3 + 3*p**2 - 17. Factor r(m).
-4*(m - 3)*(m + 3)
Let s = -84/289 - -2080/3179. Factor -s*r + 2/11*r**2 - 6/11.
2*(r - 3)*(r + 1)/11
Let u(z) = -z**3 - 15*z**2 - 15*z - 11. Let o be u(-14). Suppose 2*l - 3*l + 2*y = -o, 3*l = -3*y + 9. Determine t so that 2*t**l - 3*t**3 - 4*t**3 = 0.
0
Let b(j) = -28*j**2 - 87*j - 9. Let f be b(-3). Let v(t) be the third derivative of f*t - 1/60*t**4 + 1/600*t**5 + 1/15*t**3 + 7*t**2 + 0. Factor v(x).
(x - 2)**2/10
Let r(q) be the first derivative of 0*q**3 + 1/36*q**4 + 6*q + 3 - 1/60*q**5 + 0*q**2. Let d(z) be the first derivative of r(z). Factor d(f).
-f**2*(f - 1)/3
Let z(i) be the third derivative of -1/30*i**5 + 0*i - 1/6*i**4 - 36*i**2 + 0 - 1/3*i**3. Suppose z(d) = 0. Calculate d.
-1
Factor d**4 - 1119364 - 368*d**3 - 12696*d**2 - 194672*d + 12*d**4 + 5*d**4 - 22*d**4.
-4*(d + 23)**4
Let k(r) = 4*r**2 + 11*r + 26. Let n be k(-4). Suppose -43 + n = h. Factor 5/6*q**h + 0 - 1/3*q + 2/3*q**4 - 7/6*q**2.
q*(q - 1)*(q + 2)*(4*q + 1)/6
Let o(s) be the third derivative of -7*s**9/8640 + s**8/720 - s**7/1260 - s**5/12 - 2*s**2. Let d(k) be the third derivative of o(k). Factor d(h).
-h*(7*h - 2)**2
Factor -12*g**3 + 11*g**3 - 1 - 7 - 2*g + 5*g**2.
-(g - 4)*(g - 2)*(g + 1)
Let a(w) be the third derivative of -w**5/120 + 113*w**4/24 - 12769*w**3/12 - 14*w**2 - w. Factor a(y).
-(y - 113)**2/2
Let r(l) be the third derivative of l**7/8 - 89*l**6/240 + 37*l**5/240 + 5*l**4/12 - l**3/6 - 2*l**2 + 84*l. Suppose r(w) = 0. What is w?
-2/5, 2/21, 1
Let b(x) = -7*x**2 + 13*x - 101. Let z(j) = -2*j**2 + 6*j - 50. Let c(f) = 2*b(f) - 5*z(f). Find a, given that c(a) = 0.
-4, 3
Let s(d) = -8*d**2 + 3*d - 9. Let j(i) = 105*i**2 - 40*i + 120. Let m(c) = -3*j(c) - 40*s(c). Factor m(g).
5*g**2
Let f = 11/45 - -91/180. Solve -f*i**2 - 1/4*i**4 + 0 + 1/4*i + 3/4*i**3 = 0 for i.
0, 1
Let p = -33 + 36. Determine u so that 136*u**2 + 5*u**4 + p*u**3 - 2*u**5 - 13*u**3 + 3*u**4 - 132*u**2 = 0.
0, 1, 2
Let s(g) = -g**4 - 17*g**3 + 13*g**2 + 43*g + 29. Let y(u) = 9*u**3 - 6*u**2 - 21*u - 15. Let w(k) = -3*s(k) - 5*y(k). Suppose w(m) = 0. Calculate m.
-2, -1, 2
Suppose -19*j + 23 = 3*r - 21*j, -3*r = 2*j - 7. Let a(l) be the second derivative of 0 + r*l - 2/15*l**3 - 1/30*l**4 - 1/5*l**2. Factor a(u).
-2*(u + 1)**2/5
Factor -2653*k**2 + 0*k + 2641*k**2 + 8*k.
-4*k*(3*k - 2)
Let g(s) be the third derivative of s**5/36 - 5*s**4/36 - 5*s**3/6 - 84*s**2. What is q in g(q) = 0?
-1, 3
Let h(l) = -7*l**2 + 10*l + 3. Let u(d) = -6*d**2 + 9*d + 2. Let w(j) = 5*h(j) - 6*u(j). Let b be w(3). Suppose 6/7*x**2 + 0 - 3*x**3 + b*x = 0. What is x?
0, 2/7
Let i be (-3 + 2)*2 + 3 + 1. Let a(d) be the second derivative of d - 1/4*d**4 + 0 + 3*d**3 - 15/2*d**i. Determine t, given that a(t) = 0.
1, 5
Let y = -1392/55 + 285/11. What is o in 0 - 3/5*o**4 - 3/5*o**3 + 0*o + y*o**5 + 3/5*o**2 = 0?
-1, 0, 1
Let o(a) be the first derivative of -a**3/3 + 10*a**2 - 12*a - 26. Let h(p) = 2*p. Let x(q) = 30*h(q) - 5*o(q). Suppose x(y) = 0. What is y?
2, 6
Let d be (-9)/(-459)*12/1. Suppose 0 = c - 4*w - 10, -4*c - 3*w + w + 4 = 0. Determine y so that 0*y**c - 2/17*y**4 + d*y**5 + 0 + 0*y + 0*y**3 = 0.
0, 1/2
Let a(g) = g**2 + g - 2. Let m(o) = 12*o**2 - 39*o - 273. Let s(h) = 15*a(h) - m(h). Wh