*l + 2/13*l**2.
2*(l + 2)**2/13
Let u(d) be the third derivative of d**8/1344 - 41*d**6/480 - 3*d**5/10 + 7*d**4/6 + 261*d**2. Let u(m) = 0. Calculate m.
-4, 0, 1, 7
Let k(m) be the first derivative of -m**4/8 + 2*m**3/3 - 3*m**2/4 + 36. Find t such that k(t) = 0.
0, 1, 3
Let p(d) be the first derivative of -27*d**6/5 - 27*d**5/5 + 108*d**4/5 - 8*d**3/5 - 112*d**2/5 + 16*d - 133. Suppose p(x) = 0. What is x?
-2, -5/6, 2/3
Let f be 10/(-35) - (-112)/49. What is p in -3035*p**5 + 3033*p**5 + 2*p**3 + f*p**4 - 4*p**2 + 2*p**4 = 0?
-1, 0, 1, 2
Solve -128/9 - 128/9*o - 4/9*o**3 - 40/9*o**2 = 0.
-4, -2
Find x, given that 34 - 75 + 2*x**2 - 20*x + 13 - 6*x = 0.
-1, 14
Let x(v) be the third derivative of v**6/360 - v**5/45 - v**4/6 + 536*v**2. Suppose x(q) = 0. Calculate q.
-2, 0, 6
Let z(w) = 4*w - 3. Let r be z(2). Suppose -r*b - 1 = -11. Factor 6*h - 2 - 7*h**b + 4*h**2 - 1.
-3*(h - 1)**2
Let p(j) = -8*j**2 - 12*j + 1. Let g be p(-5). Let f = -58 - g. Let 27 - 4*r**3 + 54 - f*r + 27*r**2 + r**3 = 0. What is r?
3
Let c(m) = m**2 - 1. Let z(n) = -6*n**2 - 22*n - 16. Let i(o) = -8*c(o) - z(o). Find s such that i(s) = 0.
-1, 12
Let k(t) = 4*t**2 - 186*t + 332. Let w(j) = 12*j**2 - 556*j + 1000. Let f(y) = 8*k(y) - 3*w(y). Solve f(q) = 0.
2, 43
Factor 16/3 + 46/3*u + 14*u**2 + 10/3*u**3 - 2/3*u**4.
-2*(u - 8)*(u + 1)**3/3
Determine c, given that 920*c - 135*c + 715*c - 27444 - 3806 - 18*c**2 = 0.
125/3
Solve -c**2 - 55*c + 393 - 1618 + 45*c - 60*c = 0 for c.
-35
Solve 26/3*n**3 + 8/9*n**4 + 58/3*n**2 + 146/9*n + 14/3 = 0 for n.
-7, -1, -3/4
Factor 56*w**2 - 43 - 31*w**2 + 5*w - 5*w**3 + 18.
-5*(w - 5)*(w - 1)*(w + 1)
Let q = -31379/3 + 10460. Factor -q*s - 1/6*s**2 + 1/2.
-(s - 1)*(s + 3)/6
Let p(w) be the third derivative of w**9/211680 - w**8/70560 - w**7/17640 + w**6/2520 - w**5/5 + 6*w**2. Let x(t) be the third derivative of p(t). Factor x(v).
2*(v - 1)**2*(v + 1)/7
Find m such that 1/3*m**2 + 13*m + 74/3 = 0.
-37, -2
Let p(k) be the second derivative of -k**7/168 + 11*k**6/240 - k**5/8 + k**4/8 - 15*k + 3. Solve p(w) = 0.
0, 3/2, 2
Factor 18/7*l + 0 + 2/7*l**2.
2*l*(l + 9)/7
Let n(g) = 55*g**4 + 5*g**3 - 150*g**2 + 40*g + 40. Let v(l) = -27*l**4 - 4*l**3 + 75*l**2 - 20*l - 20. Let r(y) = 2*n(y) + 5*v(y). Let r(b) = 0. What is b?
-2, -2/5, 1
Let z(y) be the first derivative of -14*y**5/85 - 5*y**4/34 + 48*y**3/17 - 76*y**2/17 + 32*y/17 + 747. Solve z(f) = 0.
-4, 2/7, 1, 2
Let c(z) be the second derivative of -z**8/336 - z**7/126 - z**6/144 + z**4/4 + 15*z. Let h(l) be the third derivative of c(l). Factor h(k).
-5*k*(2*k + 1)**2
Let b be (-5 - 0)*2/(-5). Suppose 30 = 5*y - 2*k, 5*k = -5*y - 2 - 3. Solve 2*q + 0*q**y + 4*q**4 + 1 - 5*q**4 - b*q**3 = 0 for q.
-1, 1
Let l(m) be the first derivative of -m**6/30 - m**5/15 + m**4/3 - m**2 - 12. Let k(b) be the second derivative of l(b). Suppose k(z) = 0. What is z?
-2, 0, 1
Suppose 81 + 288*g + 142*g**2 + 64/3*g**3 + g**4 = 0. Calculate g.
-9, -3, -1/3
Let z = 55 + -30. Let q be -1 - z/(-35) - 8/(-7). Factor -4/7*s**2 + 2/7*s**3 + 0*s + q*s**4 + 0.
2*s**2*(s + 1)*(3*s - 2)/7
Suppose -5*g + 13 = -t, -9 = -2*t + g + 2*g. Let t*l - 9*l + 4*l + 4*l**2 + 16 + 13*l = 0. What is l?
-4, -1
Let l(d) be the first derivative of -5*d**3/3 - 15*d**2/2 + 90*d + 265. Let l(y) = 0. Calculate y.
-6, 3
Let q = -1562 - -10937/7. Let q*n**2 - 1/7*n**3 + 4/7*n + 0 = 0. Calculate n.
-1, 0, 4
Let h(t) = 2*t**3 + 14*t**2 - 14*t + 3. Let l(u) = u**3 + 6*u**2 - 7*u + 2. Let x(r) = 6*h(r) - 15*l(r). Solve x(b) = 0.
-4, 1
Suppose 108*p - 94*p = -214*p - 96*p. Factor -1/5*n**2 + p + 1/5*n.
-n*(n - 1)/5
Suppose 5*l + 61 - 9 = 2*y, l = 3*y - 52. Find w such that -7*w - 14*w**3 + y*w**3 + 4*w + w = 0.
-1, 0, 1
Let 15/7*t**2 - 1/7*t**4 - 13/7*t**3 - 2 + 13/7*t = 0. Calculate t.
-14, -1, 1
Let x(w) = -w**2 - w + 1. Let m(i) = -9*i**2 + 19*i - 14. Let j(b) = -3*m(b) + 3*x(b). Let y(k) = k**3 - 1. Let d(l) = j(l) - 3*y(l). Factor d(g).
-3*(g - 4)*(g - 2)**2
Let v be (8/(648/(-45)))/(85/(-136)). Factor 0*i + 0*i**2 + 0 - 2/9*i**5 - 10/9*i**4 - v*i**3.
-2*i**3*(i + 1)*(i + 4)/9
Let t(k) be the third derivative of 1/120*k**6 + 0*k + 0*k**3 - k**2 + 9 + 0*k**4 + 1/30*k**5. Suppose t(i) = 0. Calculate i.
-2, 0
Let z(t) = t**3 + t**2 + t + 1. Suppose 3*k = -9, 2*x + k = 3*x - 9. Let m = x + -3. Let r(y) = 2*y**3 + y + 3. Let p(s) = m*z(s) - r(s). Factor p(h).
h*(h + 1)*(h + 2)
Let h = 1506 + -1502. Find r such that -26/7*r - 44/7*r**2 - 36/7*r**3 - 2*r**h - 6/7 - 2/7*r**5 = 0.
-3, -1
Let i(d) be the first derivative of 5*d**3/3 - 5*d**2 - 15*d + 88. Factor i(x).
5*(x - 3)*(x + 1)
Suppose -6*s - 17 = -101. Suppose 21*d = 49 + s. Factor -5*c**5 + 0*c - 15/2*c**d + 45/4*c**4 + 5/4*c**2 + 0.
-5*c**2*(c - 1)**2*(4*c - 1)/4
Let o(d) be the second derivative of d**4/48 + 19*d**3/12 + 361*d**2/8 - 7*d - 12. Factor o(u).
(u + 19)**2/4
Let o(b) be the third derivative of 0*b**4 - 1/150*b**6 + 0 + 1/150*b**5 + 12*b**2 + 0*b + 1/525*b**7 + 0*b**3. Factor o(j).
2*j**2*(j - 1)**2/5
Factor 0*j - 2/15*j**4 + 2/3*j**3 + 0 - 4/5*j**2.
-2*j**2*(j - 3)*(j - 2)/15
Find j such that 7*j**2 + 154*j - 86*j - 6 - 79*j = 0.
-3/7, 2
Let h = -65 + 55. Let j be h/(-6) - 35/21. Let 0*u - 4/9*u**2 - 4/9*u**4 + j - 10/9*u**3 = 0. What is u?
-2, -1/2, 0
Factor 0 - 28*q**2 - 50/3*q**3 - 6*q - 8/3*q**4.
-2*q*(q + 3)**2*(4*q + 1)/3
Let m be (3 + 1)*(4 + -3). Factor -8*b**2 - 3*b + 6*b**2 + 3*b**2 + 7*b + m.
(b + 2)**2
Let w(i) = i**2 + 2*i - 5. Let r be w(-4). Suppose 0 = -5*k + r*k + 10. Factor -x**k + 40*x**2 - 2*x**4 + x**3 - 20*x**2 - 18*x**2.
-x**2*(x - 1)*(x + 1)*(x + 2)
Let h(l) be the third derivative of l**6/40 - 21*l**5/20 + 71*l**4/8 - 51*l**3/2 + 660*l**2. Determine n, given that h(n) = 0.
1, 3, 17
Let g = 41045 - 124208/3. Let m = g - -361. Factor 16/3*c**2 + m*c + 4/9 - 32/9*c**3.
-2*(c - 2)*(4*c + 1)**2/9
Let b(q) = -53*q - 3549. Let y be b(-67). Factor 4/5*n - 2/5*n**y - 2/5.
-2*(n - 1)**2/5
Let n(f) be the first derivative of -f**4/22 - 20*f**3/33 - 13*f**2/11 + 48*f/11 + 176. Factor n(m).
-2*(m - 1)*(m + 3)*(m + 8)/11
Let b(w) = -w**3 + 2*w**2 + 85*w + 84. Let j be b(-1). Factor 3 + 3/5*f - 3*f**j - 3/5*f**3.
-3*(f - 1)*(f + 1)*(f + 5)/5
Let j(s) be the first derivative of -s**6/2 + 6*s**5/5 + 27*s**4/2 + 32*s**3 + 69*s**2/2 + 18*s + 9. Factor j(c).
-3*(c - 6)*(c + 1)**4
Solve -49*l**3 - 3*l**3 - 4*l**4 - 12*l + 32*l**3 - 28*l**2 = 0 for l.
-3, -1, 0
Let j(o) be the first derivative of -o**6/120 + o**4/8 + o**3 + 9*o**2/2 + 35. Let a(h) be the third derivative of j(h). What is p in a(p) = 0?
-1, 1
Let t(f) be the second derivative of 3/4*f**5 + 0*f**2 - 10/3*f**3 + 0 + 5*f - 5/3*f**4. Factor t(i).
5*i*(i - 2)*(3*i + 2)
Factor -54/5 + 189/5*x + 128/5*x**3 - 234/5*x**2 - 32/5*x**4 + 3/5*x**5.
(x - 3)**3*(x - 1)*(3*x - 2)/5
Let z = 8903 + -8899. Solve -8/3*q + 2/3*q**z - 8/3*q**3 + 4*q**2 + 2/3 = 0 for q.
1
Suppose 8*s - 382 = 10. Let h = 51 - s. Factor 0 + 1/3*j**3 + 2/3*j**h + 1/3*j.
j*(j + 1)**2/3
Let m(x) = 2*x + 5. Let y = -7 + 16. Let o be m(y). Let 13*d - 14*d - 4*d**2 - 36 - o*d = 0. Calculate d.
-3
Factor 2/7*f**2 - 24/7 - 2/7*f.
2*(f - 4)*(f + 3)/7
Let f(g) = -1. Let q(r) = 3*r**3 + r**2 + 4. Let a(y) = 4*f(y) + q(y). Let l(s) be the first derivative of s**4/2 + 4. Let v(k) = 3*a(k) - 5*l(k). Factor v(n).
-n**2*(n - 3)
Let g(m) be the first derivative of 2*m**3/27 - 62*m**2/9 + 1922*m/9 + 8. Factor g(b).
2*(b - 31)**2/9
Let d = -7855 + 54991/7. Determine r so that -4*r**3 - d*r**5 - 2/7 + 12/7*r**2 + 22/7*r**4 + 2/7*r = 0.
-1/3, 1
Suppose 150 = 93*b - 18*b. Factor -1 + 15/4*a**b + 7*a.
(a + 2)*(15*a - 2)/4
Let u(b) be the third derivative of b**8/1008 + b**7/90 + 11*b**6/360 - 7*b**5/180 - b**4/6 - 225*b**2 - 2. Solve u(a) = 0 for a.
-4, -3, -1, 0, 1
Let w(u) be the third derivative of -3*u**6/80 - 59*u**5/80 + 5*u**4/16 - 364*u**2. Factor w(z).
-3*z*(z + 10)*(6*z - 1)/4
Let o(y) be the second derivative of -y**6/2 + 33*y**5/10 + 15*y**4/4 + 46*y. Determine g so that o(g) = 0.
-3/5, 0, 5
Let z(k) be the second derivative of -k**4/36 + 7*k**3/18 + 4*k**2/3 - 77*k. Find c, given that z(c) = 0.
-1, 8
Let c(x) = -2*x**2 - 17*x - 22. Let n be c(-6). Suppose 2*j = 6*j - n. Factor 0 + 2/11*v**j + 0*v.
2*v**2/11
Let c be (24/(-100) + 0)/(6/(-20)). Let v = 491/12