 second derivative of -o**5/40 + 11*o**4/24 + o**3/12 - 11*o**2/4 - 4*o + 4. Factor g(k).
-(k - 11)*(k - 1)*(k + 1)/2
Let x(r) = 83*r - 498. Let s be x(6). Let t(m) be the third derivative of s*m**3 + 0 + 1/30*m**5 + 0*m - 8*m**2 - 1/12*m**4. Factor t(i).
2*i*(i - 1)
Let c be (-1)/6 + (-13)/(-6). Suppose 10*z**3 + 11*z - c*z**4 + 8*z**3 + 25*z - 39*z**2 - z**4 - 12 = 0. Calculate z.
1, 2
Let k = 40 + -38. Suppose -2*z - z = k*z. Factor 0 + 2/7*l**2 + z*l**3 + 0*l - 2/7*l**4.
-2*l**2*(l - 1)*(l + 1)/7
Let g = -31 + 155. Let c = 249/2 - g. Factor 1 - 3/2*q**2 + 1/2*q**4 - 1/2*q + c*q**3.
(q - 1)**2*(q + 1)*(q + 2)/2
Find r such that 6*r**2 - 2*r**2 + 39*r + 0*r**2 + 37*r - 56*r = 0.
-5, 0
Let x = 9 - 6. Suppose -3*u + 4*t - x*t = -10, -2*u + 20 = -4*t. Factor -r + r**3 + 0*r - r**u + r**4 + 0*r**2.
r*(r - 1)*(r + 1)**2
Let c(g) = 11*g**2 + 102*g - 130. Let h(u) = 4*u**2 + 34*u - 44. Let b(s) = -6*c(s) + 17*h(s). Factor b(d).
2*(d - 16)*(d - 1)
Let y(f) = -f**3 - f**2 - f + 2. Let u(a) = 18*a**5 + 82*a**4 + 102*a**3 + 6*a**2 - 34*a + 4. Let p(q) = 2*u(q) - 4*y(q). Let p(t) = 0. What is t?
-2, -1, 0, 4/9
Let v = 1854 - 1852. Factor -2/7 - 4/7*k - 2/7*k**v.
-2*(k + 1)**2/7
Suppose -7*t = -22 - 69. Let 12*g**5 - t*g**5 + 5*g**3 + 4*g**4 + 64*g**2 + 8*g**4 - 53*g**3 = 0. What is g?
0, 4
Let l = 10/501 - -55768/501. Let s = l + -111. Solve -2/3*h**2 + 0 + s*h**3 + 1/3*h = 0.
0, 1
Determine h, given that 2/15*h**2 - 4/5*h + 2/3 = 0.
1, 5
Suppose 4*i + 16 = -k + 5*k, -2*i - 2*k = -20. Determine b, given that 3/7*b**4 - 12/7*b**2 - 12/7*b + 3/7*b**i + 0 = 0.
-2, -1, 0, 2
Let z(n) be the third derivative of 0*n + 0*n**4 + 0*n**6 - 9*n**2 - 1/560*n**7 + 0*n**5 + 0 + 3/2*n**3. Let p(k) be the first derivative of z(k). Factor p(i).
-3*i**3/2
Suppose 5*j = -3*t + 5*t + 20, -2*t = 4*j + 2. Let s be (-13)/t - (-2)/5. Solve 4 - 4 + 4*a**s - 2*a**5 - 2*a = 0 for a.
-1, 0, 1
Suppose -5*z + u + 18 = 0, 214*u + 12 = -2*z + 212*u. Find q, given that -2/5*q**4 + q**z + 2/5*q + 1/5*q**3 + 0 = 0.
-1, -1/2, 0, 2
Let g(p) be the first derivative of -2*p**7/21 + 8*p**6/15 - 6*p**5/5 + 4*p**4/3 - 2*p**3/3 + 13*p - 2. Let w(b) be the first derivative of g(b). Factor w(z).
-4*z*(z - 1)**4
Let c(j) be the third derivative of 0*j - 25*j**2 - 5/4*j**4 + 1/20*j**5 + 0 + 25/2*j**3. Factor c(m).
3*(m - 5)**2
Let b(t) be the first derivative of t**4/8 - 3*t**3/2 + 15*t**2/4 - 7*t/2 + 271. Find w, given that b(w) = 0.
1, 7
Factor 91*t - 400 + 4*t**3 - 13*t**2 + 8*t**2 - 90*t + 81*t**2 + 319*t.
4*(t - 1)*(t + 10)**2
Let r be (-19)/(-171)*(-8)/(-2). Let o(u) be the first derivative of 1/12*u**4 + 0*u + 4 - r*u**3 + 2/3*u**2. Factor o(d).
d*(d - 2)**2/3
Let s be ((-937)/684)/(3/(-6)). Let v = s + 31/38. Suppose -2*m**2 - 2/9*m - 16/3*m**3 - v*m**4 + 0 = 0. Calculate m.
-1, -1/4, 0
Let x(l) be the first derivative of -1/2*l - 1/3*l**2 + 9 + 1/6*l**3 + 1/6*l**4. Factor x(r).
(r - 1)*(r + 1)*(4*r + 3)/6
Suppose 2*f - 11 = 3*t, f - 8 = 3*t - 1. Let n(d) = 4*d**3 + 4. Let i(j) = -4*j**3 + 96*j**2 - 5 - 96*j**2 - j. Let h(u) = f*i(u) + 5*n(u). Factor h(c).
4*c*(c - 1)*(c + 1)
Let p(z) = z**3 - 2*z**2 - z. Let n(r) = 9*r**3 - 63*r**2 - 45*r + 24. Let c(o) = n(o) - 15*p(o). Determine s so that c(s) = 0.
-4, -2, 1/2
Let y be (-3)/(12/(-16)) - -1. Suppose -5 - 5 = -y*u. Determine x, given that 2/5*x - 1/5*x**5 - x**u + 0 + 3/5*x**3 + 1/5*x**4 = 0.
-2, 0, 1
Let v(h) = h - 1. Let w be v(-1). Let y be (-6)/w - -1 - 2/1. Factor -4/9 - 2/9*l**y - 2/3*l.
-2*(l + 1)*(l + 2)/9
Let n(q) = 3*q**3 - q**2 - 4*q - 2. Let p(b) = -3*b**3 + 3*b + 3. Let d(g) = g**2 - 8*g - 11. Let k be d(9). Let a(o) = k*p(o) - 3*n(o). Factor a(y).
-3*y*(y - 2)*(y + 1)
Let d(p) be the third derivative of -5*p**8/616 + 32*p**7/385 - 16*p**6/55 + 17*p**5/55 + 21*p**4/44 - 18*p**3/11 - 407*p**2. Let d(s) = 0. What is s?
-3/5, 1, 2, 3
Let y(a) be the second derivative of -4*a**6/405 + 2*a**5/135 - a**4/108 + a**3/3 + 20*a. Let d(w) be the second derivative of y(w). Find x such that d(x) = 0.
1/4
Suppose 3*z + 14 = -4*x + 6*x, -4*x + 2*z = -20. Factor -3*w**5 + 4*w**3 - w**5 - 30*w**4 - 4*w**2 - 29*w**4 + 63*w**x.
-4*w**2*(w - 1)**2*(w + 1)
Let g(y) be the second derivative of -y**5/30 + y**3/3 + 7*y**2/2 - 9*y. Let u(n) be the first derivative of g(n). Factor u(j).
-2*(j - 1)*(j + 1)
Suppose -989 = 13*v - 1028. Let -3*a**4 + 0 + 3/2*a**v + 0*a + 0*a**2 + 3/2*a**5 = 0. What is a?
0, 1
Find k such that 13/2*k**3 + 15/2*k**2 + 2*k**4 + 1/2 + 7/2*k = 0.
-1, -1/4
Let b(k) = k**2 - 33*k - 31. Let f(g) = -2*g - 1. Let t(z) = -5*b(z) + 15*f(z). Solve t(j) = 0 for j.
-1, 28
Let x(f) be the third derivative of 5*f**8/672 + 16*f**7/21 + 64*f**6/3 - 4*f**2 + 17*f. Factor x(l).
5*l**3*(l + 32)**2/2
Suppose 0*r**2 - 3*r**3 + 0*r**2 + 3*r**3 - 9*r**2 - 3*r**3 - 6*r = 0. What is r?
-2, -1, 0
Let l be (24/(-40))/(-2*4/40). Let n(i) be the first derivative of 2/3*i**l + 2/5*i**5 + 0*i**2 - i**4 - 2 + 0*i. Find q, given that n(q) = 0.
0, 1
Let p = 180604/150495 + -2/30099. Solve 0 - p*r**4 + 3/5*r**5 - 3/5*r**3 + 0*r + 6/5*r**2 = 0 for r.
-1, 0, 1, 2
Solve 0 - 2/3*r**4 + 14/3*r**3 - 8/3*r**5 + 2/3*r**2 - 2*r = 0 for r.
-1, 0, 3/4, 1
Let j be 2632/4230 + 3/(-5). Let v(l) be the second derivative of 0 + j*l**6 + 1/15*l**5 - 1/3*l**2 + 0*l**4 - 2/9*l**3 + 7*l. Factor v(f).
2*(f - 1)*(f + 1)**3/3
Factor -2*v**3 + 2*v**2 + 3*v**2 + 4*v**2 + 5*v**2 - 2*v**4 + 8*v + 6*v**3.
-2*v*(v - 4)*(v + 1)**2
Let t(u) be the second derivative of 1/12*u**4 + 0*u**3 - 1/6*u**2 + 0 - 6*u - 1/30*u**5. Solve t(q) = 0 for q.
-1/2, 1
Let h be 2/(-6) - 470/30. Let r be (-184)/(-18) + h/72. Let d(w) = -5*w**2 + 3. Let l(u) = 9*u**2 - 5. Let f(y) = r*d(y) + 6*l(y). Factor f(t).
4*t**2
Let u(v) be the third derivative of -v**7/1365 + v**6/195 - 2*v**5/195 - 51*v**2. Determine d, given that u(d) = 0.
0, 2
Let a(m) = m**2 - 18*m + 45. Let w be a(15). Let x(l) be the third derivative of 0 + 0*l + l**2 + 1/600*l**6 + w*l**3 + 0*l**5 - 1/120*l**4. Factor x(d).
d*(d - 1)*(d + 1)/5
Let k(v) = v**2 + v. Let j be k(2). Factor -134*w**3 - 134*w**3 - 4*w + 266*w**3 + j*w**2.
-2*w*(w - 2)*(w - 1)
Let g(t) = 7*t**3 + 3*t**2 + 8*t - 6. Suppose -1 = s - 7. Let o(p) = -15*p**3 - 6*p**2 - 17*p + 13. Let i(z) = s*o(z) + 13*g(z). Factor i(x).
x*(x + 1)*(x + 2)
Let y(k) = -16*k**3 + 20*k**2 + 44*k - 12. Let j(o) = o**3 - 3*o**2 - 1. Let n(a) = 12*j(a) + y(a). Let n(r) = 0. Calculate r.
-6, 1
What is p in 4/7*p**2 + 11/7*p - 1/7*p**3 + 6/7 = 0?
-1, 6
Let h(g) = g**2 + 9*g + 16. Let r be 2 + 1 + (-10)/1. Let a be h(r). Factor -2*i**3 + a*i + 4*i - 5 + 1.
-2*(i - 1)**2*(i + 2)
Let u be 3/((-141)/(-18) + -6). Factor -u + 12/11*b - 2/11*b**2.
-2*(b - 3)**2/11
Suppose 2*c**4 + 14/9*c**3 + 0 - 2*c**2 - 4/9*c - 10/9*c**5 = 0. What is c?
-1, -1/5, 0, 1, 2
Suppose 3*t + 4 = 5*t. Let -r + 2*r**3 - r**5 - r**t + r**2 = 0. Calculate r.
-1, 0, 1
Suppose -15*a = -21*a + 18. Determine m, given that -4*m + 2*m**5 - 2*m**4 - 6*m**2 - 75*m**a + 147*m**3 + 16*m**2 - 78*m**3 = 0.
-2, 0, 1
Let v(w) be the first derivative of w**4/20 - 7*w**3/15 + 8*w**2/5 - 12*w/5 + 41. Find m such that v(m) = 0.
2, 3
Let p be (18/12)/((-45)/12 - -3). Let d be p/(-6 - -2 - 6). Solve 0*w + d - 1/5*w**2 = 0.
-1, 1
Let i = -86 + 96. Let r be 16/i - 2/(-5). Let 4*o**r + 4/3*o**3 + 0*o - 16/3 = 0. Calculate o.
-2, 1
Suppose -v - 2*i - 4 = -2*v, 0 = -5*v - 5*i + 5. Let k(u) be the first derivative of -3/2*u**2 + 1 + 1/4*u**4 + v*u + 0*u**3. Find w such that k(w) = 0.
-2, 1
Factor 9680 + 2/5*x**3 - 436/5*x**2 + 4664*x.
2*(x - 110)**2*(x + 2)/5
Let g(q) = q**2 - 11*q + 14. Let m be g(-12). Let z = m + -286. Find v, given that -60*v**z + 15/2*v**2 - 3/2 + 24*v**5 - 15/2*v + 75/2*v**3 = 0.
-1/4, 1
Suppose -60 = 80*r - 65*r - 45*r. Factor 2 + 3/4*k**4 + 7/4*k**3 - 3/2*k**r - 3*k.
(k - 1)*(k + 2)**2*(3*k - 2)/4
Let p be (-9)/12 - (21/(-18) - -1). Let q = 85/84 + p. Solve -q*d**3 + 3/7*d - 3/7*d**2 + 3/7 = 0 for d.
-1, 1
Let j be -5 + (2 - -5 - (-108)/(-126)). Let 0 - j*w + 4*w**2 + 20/7*w**4 - 36/7*w**3 - 4/7*w**5 = 0. What is w?
0, 1, 2
Let u(k) be the third derivative of -48*k**2 + 1/12*k**5 + 0*k - 5/8*k**4 + 0*k**3 + 0. Factor u(q).
5*q*(q - 3)
Let i(q) = -24*q + 3. Let d be i(1). Let r = 25 + d. Factor 2*s**3 - 4*s**3 - 3*s**5 + s**4 + s**5