*4/44 - g**3/11 + 3*g**2/11 + 8*g/11 - 103. Factor u(x).
-(x - 2)*(x + 1)*(x + 4)/11
Suppose -22*x + 17*x = -25. Let c(l) = -9*l**2 + 24*l + 24. Let r(j) = 2*j**2 - 5*j - 5. Let d(s) = x*c(s) + 24*r(s). Let d(f) = 0. What is f?
0
Determine s so that 0 + 8/7*s**3 - 4/7*s**5 + 0*s**4 + 0*s**2 - 4/7*s = 0.
-1, 0, 1
Let j = -351 - -356. Let f(s) be the second derivative of 0 + 0*s**4 + s - 3/2*s**3 - 3*s**2 + 3/20*s**j. Suppose f(w) = 0. What is w?
-1, 2
Let t(s) be the third derivative of -s**6/280 - s**5/35 - s**4/14 - 64*s**2 + 2. Factor t(o).
-3*o*(o + 2)**2/7
Let z(r) be the third derivative of 0*r**3 + 0 - 1/15*r**5 + 1/2*r**4 - 7*r**2 + 0*r. Factor z(w).
-4*w*(w - 3)
Let y(d) be the second derivative of d**6/24 + 17*d**5/8 + 1865*d**4/48 + 595*d**3/2 + 2205*d**2/2 - 2*d - 181. Let y(u) = 0. Calculate u.
-14, -3
Factor -47*x**2 + 51*x**2 - 96 + 28*x + 49*x - 21*x - 4*x**3.
-4*(x - 3)*(x - 2)*(x + 4)
Let j = 62 + -60. Let d(c) be the first derivative of 4 + 2/21*c**3 + 1/7*c**j + 0*c. Solve d(r) = 0.
-1, 0
Let l be 26/(-1)*(-15)/(-140)*6/(-9). Solve -l*c**2 - 15/7*c - 2/7 = 0 for c.
-1, -2/13
Let b(k) be the third derivative of k**5/210 - 5*k**4/84 - 2*k**3/3 + 73*k**2. Determine l, given that b(l) = 0.
-2, 7
Let p = 31339/565 - 98/113. Let a = p + -53. Determine z so that a*z - 3/5*z**2 - 4/5 = 0.
2/3, 2
Let g(x) = -2*x + 3 + 4 + 23. Let d be g(0). Factor -8*n - 26*n**4 + 6*n + 8*n**5 + 4*n - 14*n**2 + d*n**3.
2*n*(n - 1)**3*(4*n - 1)
Let m(j) = 5*j**3 - 35*j**2 - 20*j + 65. Let z(c) = -3*c**3 + 36*c**2 + 21*c - 66. Let f(u) = 4*m(u) + 5*z(u). Factor f(a).
5*(a - 1)*(a + 2)*(a + 7)
Let a = 58 - 55. Factor 0*b**3 + 7*b**3 + 32*b**2 - b**a - 30*b**2 - 2*b**4 - 6*b.
-2*b*(b - 3)*(b - 1)*(b + 1)
Let s(y) = -15*y**3 - 785*y**2 - 2520*y - 110. Let k(m) = -m**3 - 56*m**2 - 180*m - 8. Let v(z) = -55*k(z) + 4*s(z). Factor v(p).
-5*p*(p + 6)**2
Let f(b) be the third derivative of b**6/200 + 9*b**5/100 - 21*b**4/40 + 11*b**3/10 - 11*b**2 - 4*b. Let f(x) = 0. What is x?
-11, 1
Suppose 4*r = 8*r - 32. Suppose -r*u = -5*u - 6. Factor 4*s**3 + 4*s**5 - u*s**4 + 8*s**4 - 2*s**5 + 0*s**3.
2*s**3*(s + 1)*(s + 2)
Let i be 4/(-13)*(-3 + 24/6). Let n = i - -6/13. Factor 4/13*j**2 + 0*j + n*j**3 + 0 - 2/13*j**4.
-2*j**2*(j - 2)*(j + 1)/13
Let l(w) = -4*w**3 - 3*w**2 + 5. Let u be (81/108)/(1/(-4)). Let v(t) = t**2 + 1. Let i(j) = u*v(j) + l(j). Factor i(h).
-2*(h + 1)**2*(2*h - 1)
Factor -1280*v**2 - 3226*v**2 + 1037*v**2 + 258*v + 2048*v**3 - 755*v**2 - 4.
2*(v - 2)*(32*v - 1)**2
Let v be (5/(-4) - 9/(-12))/((-1155)/462). Determine t so that -v*t**2 - 20 + 4*t = 0.
10
Determine g so that 0 + 0*g + 10/9*g**4 + 2/9*g**5 + 0*g**3 + 0*g**2 = 0.
-5, 0
Let q(j) be the third derivative of -1/30*j**6 + 1/6*j**4 + 0 + 4/3*j**3 - 2/15*j**5 + 0*j - 35*j**2. Determine a, given that q(a) = 0.
-2, -1, 1
Suppose 16 = -3*j + 7*j. Suppose 0 = d + 2*d + j*c - 22, -3*c = 3*d - 18. Find s, given that 2*s**2 - 4*s**3 - 2*s**5 - d*s**3 + 0*s**4 + 6*s**4 = 0.
0, 1
Let a = 9 + -6. Let f = 599/7 - 85. Factor -2/7*w + 2/7*w**a - 4/7*w**2 + f.
2*(w - 2)*(w - 1)*(w + 1)/7
Suppose 0 = -427*r + 430*r - 15. Let g(y) be the second derivative of -1/12*y**4 + 0*y**3 + 0 - r*y + 1/2*y**2. Determine q, given that g(q) = 0.
-1, 1
Let w(g) be the second derivative of 3*g**7/7 + g**6/75 - 137*g**5/50 - 31*g**4/10 + 4*g**3/15 + 4*g**2/5 - 157*g. Let w(h) = 0. What is h?
-1, -2/9, 1/5, 2
Let k be 5*(-4)/(-50)*25/20. Let a = 241/4 + -60. Factor k*f + a*f**2 + 0.
f*(f + 2)/4
Factor 11/2*d - 1/2*d**2 - 14.
-(d - 7)*(d - 4)/2
Suppose 3*u + 16 = -11. Let g(i) = -i - 10. Let r be g(u). Let c(d) = -8*d**2 - 11*d. Let f(y) = -y**2 - y. Let p(n) = r*c(n) + 5*f(n). Factor p(m).
3*m*(m + 2)
Suppose 4*n - 30 = d - 0*d, -n = -2*d - 11. Suppose -6*i = -n - 29. Factor -3*s**3 + i*s**2 + 0*s**2 - 2*s**3 - 135*s + 135 + 39*s**2.
-5*(s - 3)**3
Suppose -4*v + y - 6 = 14, 0 = 2*v + 2*y. Let t be 220/48 + v + 1/(-4). Let -t*m - 1/3*m**2 + 0 = 0. Calculate m.
-1, 0
Let w(v) = -v**2 - 5*v - 2. Let c be w(-4). Let h be (-2 + 1)*0/4. Factor -c*b + h*b + 3*b - b**3.
-b*(b - 1)*(b + 1)
Let o = -6397 + 44803/7. Find x such that 12/7*x**4 + 60/7*x - o - 3/7*x**3 - 6*x**2 - 3/7*x**5 = 0.
-2, 1, 2
Let q be (2/4)/(-2*(-21)/9352). Let w = q - 110. What is a in -2/3*a + 4/3*a**3 - 4/3*a**4 - w - 2/3*a**5 + 8/3*a**2 = 0?
-2, -1, 1
Let j(u) be the third derivative of -1/3*u**4 - 2/15*u**5 + 0*u**3 + 0*u + 2/105*u**7 + 1/20*u**6 + 0 - 20*u**2 - 1/168*u**8. Factor j(w).
-2*w*(w - 2)**2*(w + 1)**2
Let y = 56 - 53. Let w be (-1)/(1*(y + -6)). Let -2/3*o - w*o**2 - 1/3 = 0. What is o?
-1
Let a be (2/5)/((-8)/120). Let q(r) = -r**3 - 5*r**2 + 6*r + 4. Let g be q(a). Factor -6*p**3 + p + 2*p**2 - 3*p - 8*p**2 - 2*p**g.
-2*p*(p + 1)**3
Factor -8*j**2 - 2 - 65*j**4 - 10*j**2 + 63*j**4 - 14*j**3 - 14*j + 110 + 68*j.
-2*(j - 2)*(j + 3)**3
Let g(w) be the first derivative of -w**5/30 + 11*w**4/24 - 35*w**3/18 + 25*w**2/12 + 147. Find x, given that g(x) = 0.
0, 1, 5
Suppose 11 - 3 = 2*q. Suppose 0*p + q*p - 20 = 0, -19 = -i - 3*p. Let -2/5*a**3 - 2/5*a**2 + 0 + 2/5*a**i + 2/5*a = 0. What is a?
-1, 0, 1
Solve -10*n + 19/3*n**2 - n**3 + 8/3 = 0 for n.
1/3, 2, 4
Let r(c) = -c**2 + 4*c + 3. Let y be r(4). Factor 4*k**5 - 12*k**y - 6*k**5 - 2*k**5 - 12*k**4 + k**2 - 5*k**2.
-4*k**2*(k + 1)**3
Let v(z) be the first derivative of 3*z**5/5 + 5*z**4/4 + z**3/2 - 8*z - 7. Let f(c) be the first derivative of v(c). Factor f(o).
3*o*(o + 1)*(4*o + 1)
Let o(v) = v**2 - 29*v - 28. Let r(l) = 2*l**2 - 58*l - 55. Let z(t) = -5*o(t) + 2*r(t). What is p in z(p) = 0?
-1, 30
Let -d**5 - 361 - d**4 + d**2 + 361 + d**3 = 0. Calculate d.
-1, 0, 1
Let g(v) be the first derivative of -v**3/2 - 117*v**2/2 - 4563*v/2 - 323. Find p, given that g(p) = 0.
-39
Let o(s) be the third derivative of -s**6/1080 + s**5/36 - 25*s**4/72 + 11*s**3/6 - 11*s**2. Let d(n) be the first derivative of o(n). Factor d(j).
-(j - 5)**2/3
Let g(f) be the second derivative of -f**6/300 - 2*f**5/75 + f**4/60 + 4*f**3/15 + f**2/2 + 5*f. Let l(w) be the first derivative of g(w). Factor l(i).
-2*(i - 1)*(i + 1)*(i + 4)/5
Let f = -86 + 81. Let r be (3/10)/(18/f - -4). Let 0*a + 0 - r*a**4 + 3/4*a**3 + 3/2*a**2 = 0. Calculate a.
-1, 0, 2
Let f(k) be the third derivative of -k**8/16800 + k**7/2100 + 17*k**4/24 - 6*k**2. Let y(g) be the second derivative of f(g). Suppose y(r) = 0. What is r?
0, 3
Let y(x) be the third derivative of -578*x**7/105 - 34*x**6/15 - 4*x**5/15 - 16*x**2 + 2. Factor y(a).
-4*a**2*(17*a + 2)**2
Suppose -96 = -3*z + x, -4*x - 6 = -2*x. Factor -z - 12 - 5 + 0 + 24*p - 3*p**2.
-3*(p - 4)**2
Suppose a - 10 = w, -3*a + 297*w = 288*w - 78. What is q in 1/7*q**5 + 0*q**4 - 4/7*q**3 + 3/7*q - 2/7 + 2/7*q**a = 0?
-2, -1, 1
Let t be 10/(-40) + 1/((-216)/(-246)). Suppose t*g**2 + 4/9 - 2*g = 0. Calculate g.
1/4, 2
Factor -10360232/3 - 218*b**2 + 1/3*b**3 + 47524*b.
(b - 218)**3/3
Let u be -6 - (-25)/(300/72). Factor 0 + 6/5*n**3 - 2/5*n**4 + u*n**2 - 8/5*n.
-2*n*(n - 2)**2*(n + 1)/5
Let p(a) be the first derivative of 6*a**2 + 0*a + 15/4*a**4 - 8*a**3 - 28 - 3/5*a**5. Solve p(d) = 0 for d.
0, 1, 2
Let y be (-6)/5*5/(-2). Suppose 5*s - 5*v - 35 = 0, 0 = -y*v - 9. Suppose 15*f**2 - 18*f**s - 7*f**3 + 42*f**3 - 2 + 13*f**3 - 59*f**2 + 16*f = 0. What is f?
1/3, 1
Let a(r) be the third derivative of -r**7/630 + r**6/360 + r**5/60 - r**4/72 - r**3/9 - 52*r**2. Factor a(n).
-(n - 2)*(n - 1)*(n + 1)**2/3
Let y(z) be the second derivative of -8*z**6/75 - 17*z**5/25 + 34*z**3/15 + 8*z**2/5 - 2*z - 85. What is t in y(t) = 0?
-4, -1, -1/4, 1
Let a = 1507 + -12123/8. Let c = a + 399/40. Factor 2/5*u**2 + 8/5 + c*u.
2*(u + 2)**2/5
Let b(f) be the second derivative of f**8/1344 + f**7/126 + f**6/36 - 15*f**4/4 + 14*f. Let z(a) be the third derivative of b(a). Factor z(y).
5*y*(y + 2)**2
Let y(v) be the second derivative of v**6/120 - 9*v**5/80 + 5*v**4/16 - 7*v**3/24 + 48*v. Factor y(l).
l*(l - 7)*(l - 1)**2/4
Let t(b) = b**3 - 10*b**2 - 2*b + 24. Let f be (-5*12/(-18))/(1/3). Let h be t(f). Solve d**2 - 1/2*d**5 - 1/2 - 1/2*d - 1/2*d**h + d**3 = 0 for d.
-1, 1
Let n be -6 - -5 - (-2 - 1). Determine d so that -6*d**2 - 4*d - 24 - 3*d**2 + 18*d**n - 5*d**2 = 0.
-2, 3
Let q(b) be the third derivative of b**5