 -4*q + 0*q**2 + 3 - q**3 + 1/4*q**4. Factor a(i).
3*i*(i - 2)
Let z(c) be the first derivative of 49*c**6/720 + 7*c**5/60 + c**4/12 - 2*c**3/3 - 10. Let s(q) be the third derivative of z(q). Factor s(a).
(7*a + 2)**2/2
Let d(g) be the second derivative of -3*g**5/110 + 3*g**4/11 + 25*g**3/11 + 54*g**2/11 - 108*g. Determine u, given that d(u) = 0.
-2, -1, 9
Let f(d) be the third derivative of -10/3*d**3 - 5/24*d**4 + 36*d**2 + 1/3*d**5 + 0 + 0*d + 1/24*d**6. Factor f(h).
5*(h - 1)*(h + 1)*(h + 4)
Let h(q) be the second derivative of -q**9/3024 + 5*q**8/1344 - q**7/168 - q**6/16 - 5*q**4/12 - 21*q. Let m(n) be the third derivative of h(n). Factor m(d).
-5*d*(d - 3)**2*(d + 1)
Suppose -5*x = -4*b - 22 - 30, 0 = -4*x - 2*b + 52. Suppose -x = 3*w, -t + 6*t = w + 19. Factor -7*f**2 - 4*f + f**2 + t*f**2 + f**2.
-2*f*(f + 2)
Let o be 2 + (1 - (-3 - -3 - 2)). Determine d, given that -7*d**2 - 5*d**2 - 3*d + o*d + 18*d = 0.
0, 5/3
Factor -142*u - 59*u + 148 - 9*u - 193 + 70*u**3 + 100*u**2 + 60*u**3 + 25*u**4.
5*(u - 1)*(u + 3)**2*(5*u + 1)
Let l(c) = 4*c + 31. Let b be l(-7). Suppose 0*o**b - 1/4*o**4 + 0 + 1/4*o**2 + 0*o = 0. What is o?
-1, 0, 1
Determine i, given that -3 + 3/2*i + 3/4*i**2 - 3/8*i**3 = 0.
-2, 2
Suppose -17/7*s**2 - 48/7*s + 1/7*s**4 + 12/7*s**3 + 52/7 = 0. Calculate s.
-13, -2, 1, 2
Let v be (56/21)/(2/3). Suppose -4 = -0*w + w + 2*r, 2 = -5*w - v*r. Find m, given that -1/2*m**5 - 1/2*m**3 - 3/2*m**4 + m + 0 + 3/2*m**w = 0.
-2, -1, 0, 1
Let t(d) be the second derivative of -d**5/10 - d**4 - 11*d**3/3 - 6*d**2 - d - 8. Find l, given that t(l) = 0.
-3, -2, -1
Suppose 68 - 68 = -4*g. Let a(c) be the first derivative of -3*c**4 + 4*c**3 + 7 + g*c + 4/5*c**5 - 2*c**2. Determine k so that a(k) = 0.
0, 1
Let q(o) = -o**4 - o**3 - o**2 - o. Let k(y) = 3*y**4 - 54*y**3 - 111*y**2 - 45*y + 24. Let m(h) = k(h) + 15*q(h). Find t such that m(t) = 0.
-2, 1/4
Let d(a) = -13*a + 9. Let w be d(7). Let n be (-1)/(21/35 - w/(-20)). Factor 2/7 - 2/7*r**3 - n*r**2 + 2/7*r.
-2*(r - 1)*(r + 1)**2/7
Let b(g) = g**2 - 14*g - 3. Let j be b(12). Let m = -15 - j. Let -85*h**3 + m*h**5 + 231*h**4 - 24*h + 135*h**5 - 113*h**3 - 156*h**2 = 0. Calculate h.
-2, -2/7, 0, 1
Let z = -3/1172 + 885/2344. Let a(j) be the first derivative of 1/8*j**3 - 5 + z*j**2 + 0*j. Factor a(q).
3*q*(q + 2)/8
Let c(z) be the third derivative of z**9/272160 + z**8/22680 + z**7/5670 + 4*z**5/15 + 21*z**2. Let l(y) be the third derivative of c(y). Factor l(g).
2*g*(g + 2)**2/9
Let c(b) be the second derivative of b**8/336 + b**7/35 + b**6/120 - 2*b**5/5 + 2*b**4/3 + 3*b**2 - 12*b. Let h(i) be the first derivative of c(i). Factor h(x).
x*(x - 1)**2*(x + 4)**2
Let m = -23 - -28. Let b(a) be the first derivative of 0*a + 7 + 0*a**2 - 3/5*a**m + 3/2*a**4 - a**3. Factor b(y).
-3*y**2*(y - 1)**2
Let c(v) be the first derivative of v**8/12600 + v**7/1575 - v**6/2700 - v**5/225 - 4*v**3/3 + 19. Let s(f) be the third derivative of c(f). Factor s(i).
2*i*(i - 1)*(i + 1)*(i + 4)/15
Let a(n) be the third derivative of 15*n**8/224 - n**7/28 - 17*n**6/48 + 7*n**5/24 + 5*n**4/6 - 5*n**3/3 - 17*n**2. Determine r so that a(r) = 0.
-1, 2/3, 1
Let c = 32 - 27. Let 0*n**3 - n**3 - 7*n**3 + 3*n**2 + c*n**3 = 0. What is n?
0, 1
Let j(y) be the third derivative of 0 - 1/300*y**6 + 0*y**5 + 1/20*y**4 + 6*y**2 + 0*y + 2/15*y**3. Determine s, given that j(s) = 0.
-1, 2
Let z be (-5)/(-3) - (15/9 - 2). Factor -z - 3*l - 57*l**3 + 48*l**2 + 2 + 15*l**4 + 15*l.
3*l*(l - 2)**2*(5*l + 1)
Factor -2/5*x**3 - 48/5*x + 72/5 - 22/5*x**2.
-2*(x - 1)*(x + 6)**2/5
Suppose 23*d + 19*d = -15*d - 23*d. Find o such that d*o**2 + 2/3*o**3 + 0 + 2/3*o**4 + 0*o = 0.
-1, 0
Suppose 2*m + 3*h = -39 + 27, 0 = 2*h + 8. Factor -12/5*w**4 + 21/5*w**3 - 6/5*w**2 + m - 3/5*w.
-3*w*(w - 1)**2*(4*w + 1)/5
Let u(s) = -3*s**2 + 100*s - 67. Let j(x) = -2*x**2 + 92*x - 66. Let i(n) = -5*j(n) + 4*u(n). Factor i(r).
-2*(r - 1)*(r + 31)
Factor 1/2*x**2 + 24/5*x - 2.
(x + 10)*(5*x - 2)/10
Let o(n) = -5*n + 1. Let z be o(-2). Let i be 55/z + -3*1. Factor -7*w**3 + w**4 - 4*w**i + 6*w**5 + 7*w**4 + 5*w**3.
2*w**2*(w + 1)**2*(3*w - 2)
Suppose 6*j - 71 - 25 = 0. Suppose g = 3*g - 5*y + j, -3*g - 4*y = -22. What is m in -2/7*m**g + 0*m + 2/7 = 0?
-1, 1
Let l(o) be the first derivative of 2*o**3/3 + 92*o**2 - 217. Factor l(f).
2*f*(f + 92)
Suppose 0*d + 32 = 4*d - 4*a, 24 = 3*d + 5*a. Let k be (15 - d) + -6 - 1/(-2). Factor k*n - 9/4 - 1/4*n**2.
-(n - 3)**2/4
Suppose -11*u = -5*u - 12. What is h in 9 - 7*h + 4*h**u - h**2 - 5*h = 0?
1, 3
Let p(d) be the third derivative of d**9/7560 + d**8/1680 - d**6/180 - d**5/60 + 7*d**4/24 + 5*d**2. Let h(n) be the second derivative of p(n). Factor h(o).
2*(o - 1)*(o + 1)**3
Let f(o) = -o**3 + 16*o**2 - 121*o + 3. Let y(t) = t**3 - 14*t**2 + 121*t - 4. Let m(c) = -4*f(c) - 3*y(c). Factor m(j).
j*(j - 11)**2
Let n(o) be the second derivative of -5*o**4/66 - 13*o**3/33 + 6*o**2/11 + 44*o. Determine q, given that n(q) = 0.
-3, 2/5
Let j(n) be the first derivative of -n**6/21 + 6*n**5/35 + 2*n**4/7 - 47. Find b such that j(b) = 0.
-1, 0, 4
Suppose -119*c = 345*c - 4640. Factor 1/2*n**2 - c*n + 50.
(n - 10)**2/2
Let -6*q**2 - 21 - 20*q + 2*q + 3*q**2 - 15 - 6*q = 0. What is q?
-6, -2
Find s such that -26 + 16*s - 6 + 2*s**2 + 0*s - 4*s = 0.
-8, 2
Let q(g) be the first derivative of -g**4/10 + 44*g**3/15 + 5*g**2 - 92*g/5 - 380. Factor q(f).
-2*(f - 23)*(f - 1)*(f + 2)/5
Let q(g) be the third derivative of -3*g**8/28 - g**7/105 + 11*g**6/30 + g**5/30 - g**4/3 - 759*g**2. Find u such that q(u) = 0.
-1, -1/2, 0, 4/9, 1
Let b = 2199 - 15373/7. Factor 2/7*q**2 + 50/7 + b*q.
2*(q + 5)**2/7
Let h(m) be the second derivative of m**6/30 - 21*m**5/20 + 51*m**4/4 - 455*m**3/6 + 225*m**2 + 497*m. Factor h(x).
(x - 9)*(x - 5)**2*(x - 2)
Let k(m) = -m - 1. Let b(t) = 22 + 7*t - 22*t**2 + 10*t**2 + 13*t**2. Let w(r) = -b(r) + 3*k(r). Factor w(i).
-(i + 5)**2
Let g(d) = -8 + 3*d**2 + 4*d**2 + 9*d**2 - 10*d**2 - 5*d**3 + d. Let o(h) = -h**3 - h - 1. Let r(q) = g(q) - 2*o(q). Factor r(n).
-3*(n - 2)*(n - 1)*(n + 1)
Let h(p) = p**3 + p**2 + 6*p + 6. Suppose 3*r - 20 = -r. Let a(l) = l**3 + r*l + 3*l + 5 - 3*l + l**2. Let q(z) = -7*a(z) + 6*h(z). Let q(d) = 0. Calculate d.
-1, 1
Suppose 3*z + 13 = 5*w, 4*w - 3*z = 10 - 2. Let i be (2/12)/((-48)/(-144))*0. Find d such that 0 + i*d**2 + 2/5*d**w + 18/5*d**3 + 0*d - 12/5*d**4 = 0.
0, 3
Let w(c) = -4*c + 18. Let v be w(6). Let r be v/(-8)*(-13)/((-390)/80). Factor 0*g + 2/5*g**r - 2/5.
2*(g - 1)*(g + 1)/5
Let r(j) be the second derivative of -j**5/4 + 75*j**4/2 - 2250*j**3 + 67500*j**2 - 17*j. Factor r(c).
-5*(c - 30)**3
Factor 0 + 2/9*r**4 - 8/3*r + 50/9*r**2 - 28/9*r**3.
2*r*(r - 12)*(r - 1)**2/9
Let h(g) be the second derivative of -3*g + 0*g**5 + 0*g**3 + 0 - 2*g**2 + 2/3*g**4 - 2/15*g**6. Factor h(c).
-4*(c - 1)**2*(c + 1)**2
Let p(d) = -d**2 + d + 18. Let x be p(0). Suppose 0 = -7*k + k + x. Find c such that 5*c**5 - c**3 + 9*c**4 - 3*c**3 - 9*c**5 + c**2 - 2*c**k = 0.
0, 1/4, 1
Let y = 48 - 99. Let n be (-1 - -1)*y/51. Find c, given that 0*c + 1/2*c**2 + n = 0.
0
Solve -33*r**2 + 12*r**5 + 588987*r**4 - 588971*r**4 - 52*r**3 + 16*r - 39*r**2 + 32 = 0.
-2, -1, 2/3, 2
Suppose -2*q = 2*z - 2, 6*q - 1 = z + 9*q. Determine d so that -2/7*d**z + 0*d + 8/7 = 0.
-2, 2
Let f(u) be the first derivative of -u**6/1800 + u**5/300 - u**4/120 - 7*u**3/3 + 5. Let o(m) be the third derivative of f(m). Determine k so that o(k) = 0.
1
Let d(y) = -8*y + 356. Let j be d(44). Factor 2/9*u**j - 2/3*u**2 + 8/9 - 8/9*u + 4/9*u**3.
2*(u - 1)**2*(u + 2)**2/9
Let u(z) = -6*z**3 + 26*z**2 + 12*z - 20. Let b = 33 - 6. Let i = 39 - b. Let g(o) = -o**3 + o**2 + o - 1. Let q(r) = i*g(r) - u(r). What is m in q(m) = 0?
-2, -1, 2/3
Let u(h) = -45*h**3 + 4760*h**2 - 125335*h - 28080. Let y(s) = -45*s**3 + 4760*s**2 - 125333*s - 28078. Let z(a) = 6*u(a) - 5*y(a). Factor z(f).
-5*(f - 53)**2*(9*f + 2)
Let r be (-2 + 2)*(3 - 2). Suppose 4*i - s - 17 = r, -2*i + 18 = -4*s - 8. Let 4/5*g - 6/5*g**2 + 0 + 2/5*g**i = 0. What is g?
0, 1, 2
Let d(o) = -2*o**4 - o**2 - o - 1. Let x(b) = 15*b**4 - 5*b**3 + 4*b + 8. Let f(r) = 24*d(r) + 3*x(r). Factor f(q).
-3*q*(q + 1)*(q + 2)**2
Let b(a) be the third derivative of a**8/10080 - a**6