e 1*-6*(-16)/q. Factor 18/5*d**5 - 4/5*d**2 - 22/5*d**3 - 24/5*d**x + 0*d + 0.
2*d**2*(d - 2)*(3*d + 1)**2/5
Let k = -1/183 + 251/12444. Let f = k + 125/748. Factor 0*n + f*n**2 + 0.
2*n**2/11
Let g be ((-2)/15)/(84/(-15)). Let l(c) be the second derivative of 0 - g*c**4 + 4/21*c**3 + 7*c - 3/7*c**2. Factor l(n).
-2*(n - 3)*(n - 1)/7
Let q be ((-12)/(-4) - 3)/(-1). Suppose 2*c = -q + 4. Suppose k - 2*k**2 + 9*k**2 - 4*k**c = 0. What is k?
-1/3, 0
Let i(x) be the third derivative of x**7/315 - x**6/48 + x**5/40 + x**4/9 - x**3/3 + 635*x**2. Determine a, given that i(a) = 0.
-1, 3/4, 2
Let c(s) be the third derivative of s**7/42 + s**6/60 - s**5/12 - s**4/12 - s**2 + 64. Suppose c(w) = 0. What is w?
-1, -2/5, 0, 1
Factor 8/13*v**3 + 6/13*v**4 - 2/13*v**5 + 0*v + 0*v**2 + 0.
-2*v**3*(v - 4)*(v + 1)/13
Let p(t) = 0*t**2 + t**2 - 3*t + 7*t - 7. Let f be p(-6). Factor 26 - 3*j + 0*j**3 + 4*j**3 - 24 - 2*j**2 - j**f.
-(j - 1)**3*(j + 1)*(j + 2)
Let c(d) = -3*d**3 + 5*d**2 + 2*d - 31. Let x be c(5). Let y = 273 + x. Factor 2/7*a**y + 6/7*a + 4/7.
2*(a + 1)*(a + 2)/7
Suppose 0*c + 23 = 4*p + c, -2*c - 19 = -5*p. Factor -6/5*y**p + 12/5*y - 6*y**2 + 6/5*y**4 + 0 + 18/5*y**3.
-6*y*(y - 1)**3*(y + 2)/5
Let o = -283 - -285. Let w(x) be the third derivative of 1/2*x**4 - 4*x**o - 3/2*x**3 + 0 + 0*x - 1/20*x**5. Suppose w(s) = 0. Calculate s.
1, 3
Suppose -118 = 10*c - 148. Let b(d) be the first derivative of -1/12*d**3 + c + 1/4*d - 1/16*d**4 + 1/8*d**2. Let b(f) = 0. What is f?
-1, 1
Let b(x) be the first derivative of x**5 - 4*x**4 + 6*x**3 - 4*x**2 + 11*x - 12. Let p(m) be the first derivative of b(m). Factor p(i).
4*(i - 1)**2*(5*i - 2)
Let v(c) be the second derivative of -c**7/840 + c**6/120 - c**5/60 - 5*c**2/2 - 13*c. Let y(l) be the first derivative of v(l). Factor y(x).
-x**2*(x - 2)**2/4
Suppose y = -6*w + 2*w + 25, -4*w = -3*y - 5. Determine t so that 2*t**4 - 3*t + 5*t**y - 50*t**2 + 12*t**4 - 2*t + 6*t**4 + 30 = 0.
-3, -2, -1, 1
Let f(k) be the third derivative of -k**5/12 - 25*k**4/2 - 295*k**3/6 - 4*k**2 + 29*k. What is r in f(r) = 0?
-59, -1
Let m(d) = d**3 - 19*d**2 + 5*d + 133. Let u(a) = -10*a**2 + 2*a + 66. Let k(j) = 2*m(j) - 5*u(j). Factor k(w).
2*(w - 2)*(w + 4)**2
Find w, given that 96/5 - 4/5*w**5 - 50*w**2 - 46/5*w**4 - 16/5*w - 36*w**3 = 0.
-4, -3, -1, 1/2
Let z(c) be the second derivative of 0 - 1/18*c**6 + 1/42*c**7 + 4*c + 1/36*c**4 + 1/60*c**5 + 0*c**3 + 0*c**2. Factor z(a).
a**2*(a - 1)**2*(3*a + 1)/3
Let d(m) be the second derivative of -11*m + 0 + 4/27*m**3 - 2/3*m**2 + 1/27*m**4. What is k in d(k) = 0?
-3, 1
Let c(o) be the first derivative of o**6/10 - 72*o**5/25 + 99*o**4/10 - 64*o**3/5 + 63*o**2/10 + 75. Factor c(u).
3*u*(u - 21)*(u - 1)**3/5
Let r(p) be the first derivative of -12*p**4 - 136*p**3 + 213*p**2/2 - 27*p - 171. Factor r(o).
-3*(o + 9)*(4*o - 1)**2
Let s(u) be the second derivative of -u**7/3 - 4*u**6/3 - 6*u**5/5 + 7*u**4/3 + 19*u**3/3 + 6*u**2 - 550*u. Solve s(i) = 0.
-1, -6/7, 1
Factor 13*l**3 - 75*l**2 - 45*l**2 - l**3 + 13*l**3 + 5*l**4.
5*l**2*(l - 3)*(l + 8)
Let u be -4 + 10 - (3 + -2). Suppose b + 0 + u = f, 5*f - 25 = -3*b. Solve -3 - 3*y**3 + b*y**3 + 3*y**2 + 6*y**3 - 3*y = 0.
-1, 1
Let x(b) = 5*b + 3. Let y be x(-1). Let z(q) = -5*q**3 - 2*q**2 + 22*q + 6. Let v(m) = -m + 1. Let t(n) = y*v(n) - z(n). Suppose t(o) = 0. Calculate o.
-2, -2/5, 2
Let o(a) = -147*a + 1176. Let v be o(8). Factor -12/5*x**2 + v + 2/5*x**3 + 2*x.
2*x*(x - 5)*(x - 1)/5
Let l = 9752/21 - 3204/7. Find u, given that 0 - 4/3*u**5 + 0*u**4 + l*u**3 + 0*u**2 - 16/3*u = 0.
-2, -1, 0, 1, 2
Let c = -13/1551 - -178391/3102. Find g such that -c*g + 5*g**2 - 30 = 0.
-1/2, 12
Factor -4/3 - 2/3*p**3 - 37/6*p**2 - 41/6*p.
-(p + 1)*(p + 8)*(4*p + 1)/6
Let l(h) be the third derivative of h**8/1344 - h**7/168 - 7*h**6/480 + h**5/48 + h**4/16 - 6*h**2 + 31*h. Solve l(x) = 0.
-1, 0, 1, 6
Let y(v) be the second derivative of -49*v**5/5 - 29*v**4/4 + 33*v**3/2 - 19*v**2/2 - 21*v. Let n(a) = -a**2 + a - 1. Let d(k) = 3*n(k) - y(k). Factor d(g).
4*(g + 1)*(7*g - 2)**2
Let a = -1/416 - -625/416. Factor a + b - 1/2*b**2.
-(b - 3)*(b + 1)/2
Suppose 14*x + 57 - 379 = 0. Suppose -5*d = -3*j - j + x, 5*j - 22 = 4*d. Find q, given that 2 - 8/3*q + 2/3*q**j = 0.
1, 3
Let a(p) = -272*p + 4352. Let c be a(16). Factor -1/3*v**2 + c - 2/3*v.
-v*(v + 2)/3
Let f(z) = -z**3 + 11*z**2 - 9*z - 8. Let k be f(10). Suppose k*w = 20 - 12. Determine c so that -2*c**3 + 4*c**3 - 35*c**w + 37*c**4 = 0.
-1, 0
Let o be 2 + -1*(-1 - -1). Let s be (8/6)/o*3. Find v, given that -6 - v**3 + 38*v**2 - s - v**3 - 32*v**2 = 0.
-1, 2
Let b be (1 - (-6)/(-3))*(-4 + 2). Factor -y**2 + 6*y**2 - 30*y**3 - 2*y**3 - 12*y**4 - 33*y**b - 8*y.
-4*y*(y + 1)**2*(3*y + 2)
Let w(x) be the first derivative of x**4/7 + 536*x**3/21 + 1048*x**2/7 + 2080*x/7 - 630. Find h, given that w(h) = 0.
-130, -2
Let s(r) = -15 + r**2 - 4*r**2 + 13*r + 4*r**2 - 31*r. Let h be s(19). Factor 27/7*c**h + 24/7*c + 0 + 18/7*c**3 - 60/7*c**2.
3*c*(c + 2)*(3*c - 2)**2/7
Suppose 28*p**2 - 47 - 71 - 272*p + 18 + 20 = 0. What is p?
-2/7, 10
Let l(g) be the second derivative of g**7/560 + g**6/18 + 119*g**5/240 - 49*g**4/24 - g**3/2 - 5*g. Let k(x) be the second derivative of l(x). Factor k(d).
(d + 7)**2*(3*d - 2)/2
Let m(q) be the first derivative of -q**6/45 + q**5/15 - q**4/18 + 11*q + 14. Let d(g) be the first derivative of m(g). Find y such that d(y) = 0.
0, 1
Suppose 494*u - 101*u + 24 = 24. Factor 0*y + 1/8*y**4 + 0*y**3 + u + 0*y**2 + 1/8*y**5.
y**4*(y + 1)/8
Suppose -120 - 24 = -6*k. Suppose -k*v = -27*v + 6. Factor -2/9*m**v + 4/9*m - 2/9.
-2*(m - 1)**2/9
Let w(d) be the second derivative of d**8/23520 + d**7/2940 + d**6/1260 + d**4/3 - 13*d. Let x(c) be the third derivative of w(c). Find b, given that x(b) = 0.
-2, -1, 0
Let y = 3/7345 - 22947/2232880. Let q = y + 3669/2128. Suppose 9/7*n**4 + 15/7*n**3 + 0 - 12/7*n**2 - q*n = 0. What is n?
-2, -2/3, 0, 1
Suppose -50*f - 97*f = -441. Factor -45/7*g**f + 48/7*g**5 + 0*g - 72/7*g**4 + 0 - 6/7*g**2.
3*g**2*(g - 2)*(4*g + 1)**2/7
Let j(u) be the first derivative of 0*u - 32/33*u**3 + 1/2*u**4 + 8/55*u**5 + 23 + 4/11*u**2 - 1/11*u**6. Suppose j(r) = 0. What is r?
-2, 0, 1/3, 1, 2
Let s(z) be the second derivative of 0 + 0*z**3 + 1/120*z**5 - 1/180*z**6 + 0*z**2 - 1/252*z**7 + 1/72*z**4 - 42*z. Factor s(l).
-l**2*(l - 1)*(l + 1)**2/6
Let v(i) be the second derivative of -i**8/26880 + 2*i**4/3 + 8*i. Let q(u) be the third derivative of v(u). Factor q(r).
-r**3/4
Let w be 174/36*-1 + 5. Let x(p) be the first derivative of w*p**3 + 1/2*p + 1/2*p**2 + 4. Factor x(s).
(s + 1)**2/2
Suppose -3*p = -15, 1161*z = 1163*z + p - 13. Factor c**2 + 11/3*c - c**3 - 1/3*c**z + 2.
-(c - 2)*(c + 1)**2*(c + 3)/3
Factor 5/4*k**2 + 13/4*k - 1/4*k**3 + 7/4.
-(k - 7)*(k + 1)**2/4
Let g(y) = 3*y**3 - 119*y**2 - 39*y - 38. Let u be g(40). Let x(p) be the third derivative of u*p**2 - 1/5*p**5 + 0 - p**3 + 9/8*p**4 + 0*p. Factor x(d).
-3*(d - 2)*(4*d - 1)
Let j be (3/(-3))/((-2)/4). Determine i, given that -39*i**5 - i**j - 161*i**5 - 72*i**3 + 9*i**2 + 210*i**4 = 0.
0, 1/4, 2/5
Let k(t) be the first derivative of -49/6*t + 43 - 7/6*t**2 - 1/18*t**3. Solve k(l) = 0 for l.
-7
Factor -8739/7*n**2 - 4134/7*n - 507/7 - 1272/7*n**3 - 48/7*n**4.
-3*(n + 13)**2*(4*n + 1)**2/7
Suppose -5*q = 5*k - 35, -4*q - 3*k + 15 = -16. Suppose 25 = l + 4*w, l + 5 = 4*w - q. Factor -1/5*a + 1/5*a**l + 0 + 0*a**3 + 2/5*a**2 - 2/5*a**4.
a*(a - 1)**3*(a + 1)/5
Suppose -x - 8 = 2*k + 6, k + 12 = 2*x. Let u be 8/35 - k/14. What is c in 0 - u*c**2 - 2/5*c**3 - 2/5*c = 0?
-1, 0
Let a(k) = -7*k**2 + 15*k - 8. Let c(m) = -20*m**2 + 45*m - 25. Let f = 45 - 34. Let r(x) = f*a(x) - 4*c(x). Factor r(w).
3*(w - 4)*(w - 1)
Let u(a) = -a**4 + a**3 - a**2 + a - 1. Let r(i) = -320*i**5 - 565*i**4 - 240*i**3 - 5*i**2 + 5*i - 5. Let s(f) = r(f) - 5*u(f). Solve s(m) = 0.
-7/8, 0
Let k(d) = d**4 - 2*d**3 - d**2 - d - 1. Let h(g) = 2*g**4 - 19*g**3 + 13*g**2 + 79*g + 67. Let x(l) = h(l) - 5*k(l). Find n, given that x(n) = 0.
-2, 3
Suppose 150 = 8*p - 138. Let l = 110/3 - p. Factor 2/3 - 1/3*t + 1/3*t**3 - l*t**2.
(t - 2)*(t - 1)*(t + 1)/3
Let k = -76 - -47. Let i = -27 - k. Let 3/2*t**i + 3/2 + 3*t = 0. Calculate t.
-1
Let o 