5*g**4/24 - g**3/6 + 63*g. Factor x(p).
p*(p - 2)*(6*p - 1)**2/2
Let j(p) = 5*p**2 + 21*p + 13. Let s(y) = -y**2 + 14*y + 21. Let b be s(15). Let o(x) = -24*x**2 - 104*x - 66. Let r(v) = b*o(v) + 28*j(v). Factor r(c).
-4*(c + 1)*(c + 8)
Let u be (-6)/((-15)/50*15). Suppose 5/3 - u*x - 1/3*x**2 = 0. Calculate x.
-5, 1
Let q(c) be the third derivative of -c**5/60 + 3*c**4/8 + c**3/3 - c**2. Let v be q(9). Let 3*t - 1 - 2*t + 0*t + t**3 + t**v - 2*t = 0. Calculate t.
-1, 1
Let m be 25/(3400/16) + 100/17. Let f(o) be the third derivative of -1/6*o**4 + 0*o - 1/105*o**7 + 1/30*o**5 + 0*o**3 + 0 + 1/30*o**m + 7*o**2. Factor f(r).
-2*r*(r - 2)*(r - 1)*(r + 1)
Let p(n) be the second derivative of -2/3*n**3 + 15*n - 1/10*n**5 + 0 + 5/6*n**4 - 8*n**2. Factor p(u).
-2*(u - 4)*(u - 2)*(u + 1)
Let u(v) be the second derivative of v**4/60 + 113*v**3/15 + 12769*v**2/10 - 26*v. Find z, given that u(z) = 0.
-113
Let q(w) = w**2 + 20*w - 20. Let l(h) be the third derivative of h**5/60 - 4*h**2. Let m(z) = -6*l(z) + q(z). Factor m(b).
-5*(b - 2)**2
Suppose 0 = -k - 0*k + 43*k. Factor 14/9*q**5 + 2/3*q**3 - 8/3*q**4 + 0 + k*q + 4/9*q**2.
2*q**2*(q - 1)**2*(7*q + 2)/9
Let v(p) be the second derivative of -1/2*p**4 - 11*p + 0 + 7/2*p**2 + 3*p**3 + 1/30*p**5. Let s(y) be the first derivative of v(y). Factor s(t).
2*(t - 3)**2
Let o = -121/4 - -123/4. Let t be ((-20)/(-16))/1 - 1/1. Factor 0 + o*d - t*d**2 - 1/4*d**3.
-d*(d - 1)*(d + 2)/4
Suppose y - 13 = 2*a, 0 = -y + 3*y + 2*a + 4. Let k(d) = 6*d**2 + d - 7. Let s(b) = 3*b**2 - 3. Let l(x) = y*k(x) - 7*s(x). Solve l(m) = 0.
0, 1
Factor 0 - 4*j**2 - 1/4*j.
-j*(16*j + 1)/4
Let l(z) = 52*z + 312. Let v be l(-6). Factor -6/5*w + v*w**3 - 3/5*w**4 + 9/5*w**2 + 0.
-3*w*(w - 1)**2*(w + 2)/5
Let n(h) be the third derivative of h**8/10080 - h**7/1260 - 29*h**5/60 - h**2 - 9. Let m(y) be the third derivative of n(y). Factor m(u).
2*u*(u - 2)
Let i(a) be the third derivative of a**7/1365 - a**6/156 + a**5/130 + 5*a**4/156 - 4*a**3/39 - 109*a**2. What is x in i(x) = 0?
-1, 1, 4
Let b(k) be the third derivative of k**5/150 + 11*k**4/20 - 14*k**3/3 - 168*k**2. Solve b(x) = 0 for x.
-35, 2
Let b(x) be the second derivative of -x**7/168 + x**6/72 + x**5/4 - 9*x**3/2 + 36*x. Let p(q) be the second derivative of b(q). Factor p(g).
-5*g*(g - 3)*(g + 2)
Suppose -2*z = -4*s - 22, -z + 5*s - 8*s = 4. Suppose -4*v + 20 = g + v, -37 = -z*g - 4*v. Suppose -2*j**2 - g*j + 3*j + 0*j = 0. Calculate j.
-1, 0
Suppose -99/5*o**3 + 0 - 36/5*o + 21*o**2 + 27/5*o**4 + 3/5*o**5 = 0. Calculate o.
-12, 0, 1
Let g(z) be the second derivative of z**6/120 - 7*z**5/80 + z**4/3 - z**3/2 + z + 48. Factor g(p).
p*(p - 3)*(p - 2)**2/4
Suppose -5*r = -2*d + 8, -4*r + d - 3 = 1. Suppose 0 = -t + 2*u - 7*u, r = 3*t - 3*u. What is p in 0 + 0*p**3 + 2/3*p**2 + t*p - 2/3*p**4 = 0?
-1, 0, 1
Suppose 4*s - q = -3*q + 482, s + q = 122. Solve -c**3 - 15*c**3 + 87*c**4 - 11*c**5 - c**5 - s*c**4 = 0.
-2, -2/3, 0
Let g be 3/(15*63/900). Factor 50/7 + 2/7*h**2 + g*h.
2*(h + 5)**2/7
Suppose 0 = 18*a - 13 - 41. Suppose 0 = -a*i - 5*i + 16. Determine s, given that 9/4*s + 3/2 + 3/4*s**3 + 9/4*s**4 - 27/4*s**i = 0.
-2, -1/3, 1
Let h(f) be the second derivative of -2*f**6/3 + 4*f**5/5 + f**4/3 - 107*f + 2. Solve h(u) = 0 for u.
-1/5, 0, 1
Let a(p) = -2 + 2 - 1375*p + 1379*p. Let t be a(0). Factor -1/2*s**3 + s**2 + t + 1/2*s**5 + 0*s - s**4.
s**2*(s - 2)*(s - 1)*(s + 1)/2
Let q(g) be the third derivative of -5*g**8/672 - 11*g**7/420 + 7*g**6/240 + 19*g**5/120 - g**4/24 - 2*g**3/3 - 470*g**2. Solve q(f) = 0 for f.
-2, -1, 4/5, 1
Let s(x) be the first derivative of 12*x**5/5 + 75*x**4/4 + 26*x**3 + 15*x**2/2 - 55. Solve s(r) = 0.
-5, -1, -1/4, 0
Let v = -199 + 201. Let c = 247/4 + -61. Solve c*d**v - 1/2 + 5/4*d = 0.
-2, 1/3
Let j(v) be the second derivative of -v**7/22680 - v**6/6480 + v**5/540 + v**4/4 - 8*v. Let a(u) be the third derivative of j(u). Let a(n) = 0. What is n?
-2, 1
Let x(a) = -3*a**3 + a**2 + 2. Let f = 41 - 43. Let m(v) = -3*v**3 + 3. Let t(n) = f*m(n) + 3*x(n). Determine q so that t(q) = 0.
0, 1
Let a(s) = -3*s - 12. Let f be a(-4). Let n(p) be the second derivative of f - 1/3*p**4 - 4/15*p**5 + 1/3*p**2 + 0*p**3 + 5*p - 1/15*p**6. Factor n(x).
-2*(x + 1)**3*(3*x - 1)/3
Let c(f) = f**3 + 1. Let z(t) = 10*t**3 + 3*t**2 + 7. Suppose -5*x = -2*x + 3*a + 12, a - 8 = 5*x. Let o(r) = x*z(r) + 22*c(r). Factor o(l).
2*(l - 2)**2*(l + 1)
Factor 2*m**2 + m**2 - 19 - 18*m + 45 - 11.
3*(m - 5)*(m - 1)
Let b(z) = 9*z**2 + 43*z + 139. Let c(n) = n**2 - n - 1. Let i(g) = 3*g**2 - 3*g - 3. Let a(w) = -4*c(w) + i(w). Let j(m) = 5*a(m) + b(m). Solve j(q) = 0 for q.
-6
Suppose 2*w - 2*q = 4, -4*w - 6 = -0*w + 3*q. Determine c, given that 4*c + w*c**2 + c**2 - 2*c + 0*c = 0.
-2, 0
Suppose -2*u + 6 = -u + 2*y, -5*y + 15 = -u. Let w(k) be the third derivative of 1/16*k**5 + 0*k + u - 1/16*k**4 + 4*k**2 + 0*k**3. Factor w(s).
3*s*(5*s - 2)/4
Let l(r) be the first derivative of -r**7/35 - r**6/8 - r**5/10 + 5*r**2/2 - 10. Let s(g) be the second derivative of l(g). Factor s(z).
-3*z**2*(z + 2)*(2*z + 1)
Let m(y) be the second derivative of y**6/180 - y**5/90 + 7*y**2 - 10*y. Let q(s) be the first derivative of m(s). Factor q(z).
2*z**2*(z - 1)/3
Determine t, given that -4 + 3*t**2 - 5/2*t**3 + 1/2*t**4 + 2*t = 0.
-1, 2
Let w(j) be the third derivative of -1/2*j**5 + 0 - 1/15*j**7 - 1/12*j**4 - 3*j**2 - 19/60*j**6 + 0*j + 2/3*j**3. Suppose w(s) = 0. What is s?
-1, 2/7
Find x such that 24/7 + 40/7*x - 12/7*x**3 + 6/7*x**2 - 2/7*x**4 = 0.
-6, -1, 2
Let i be (-57)/(-2) - -1 - (-12)/8. Suppose -29 + i = y. Suppose -2/3*b**5 + 2/3*b**4 + 0 + 0*b + 0*b**y + 0*b**3 = 0. Calculate b.
0, 1
Suppose 16 + 30 = 23*t. Let r(a) be the second derivative of 2*a**t + 4/3*a**3 - 5*a + 1/3*a**4 + 0. Find q, given that r(q) = 0.
-1
Let 8/5 + 176/15*j - 18/5*j**3 + 98/5*j**2 = 0. Calculate j.
-1/3, -2/9, 6
Let j(z) be the third derivative of -1/6*z**3 + 0 + z**2 + 1/60*z**5 + 0*z - 1/48*z**4 + 1/240*z**6. Determine i, given that j(i) = 0.
-2, -1, 1
Let w(r) be the first derivative of -84/25*r**5 - 61/10*r**4 - 3 - 56/15*r**3 + 0*r - 4/5*r**2 - 3/5*r**6. Determine y, given that w(y) = 0.
-2, -1/3, 0
Find o, given that -14/3*o + 2 - 4*o**2 = 0.
-3/2, 1/3
Let k be 8 - (400/60 - 6/9). Factor 1/2*c**4 - 2 + 2*c + 3/2*c**k - 2*c**3.
(c - 2)**2*(c - 1)*(c + 1)/2
Solve 52 - 58/3*t + 2/3*t**2 = 0 for t.
3, 26
Let y(k) = -7*k - 9*k**2 - 1 - 4 + 6*k**2 + 2*k**2. Let n be y(-5). Suppose -6*h**3 + 0*h**5 + 3*h**n - h**4 + 3*h + h**4 = 0. Calculate h.
-1, 0, 1
Let x(j) be the second derivative of j**8/2800 - j**7/700 - j**6/600 + j**5/100 + 5*j**3/3 + 8*j. Let w(b) be the second derivative of x(b). Factor w(n).
3*n*(n - 2)*(n - 1)*(n + 1)/5
Let z be (-1)/(-4)*(-42)/(-28). Find j, given that -1/4*j + 1/8*j**2 - z = 0.
-1, 3
Factor -59*k**2 - 44*k - 8 - 24*k**4 + 2 + 9*k - 37*k**3 + 32*k**4 - 15*k**4.
-(k + 1)**2*(k + 3)*(7*k + 2)
Let j(f) = 104*f**3 + 87*f**2 - 26*f - 15. Let n(m) = 314*m**3 + 262*m**2 - 78*m - 46. Let w(p) = 10*j(p) - 3*n(p). Let w(b) = 0. What is b?
-1, -2/7, 3/7
Factor 324/5*z + 1/5*z**4 + 37/5*z**3 + 0 + 72*z**2.
z*(z + 1)*(z + 18)**2/5
Let n(q) = 7*q - 77. Let u be n(11). Let t be (-1)/(-4) + u*(-3)/(-6). Let -1/2 - t*p**3 - 5/4*p - p**2 = 0. Calculate p.
-2, -1
Let t(r) = -15*r**4 + 90*r**3 - 300*r**2 + 435*r - 240. Let v(i) = -7*i**4 + 45*i**3 - 150*i**2 + 218*i - 120. Let n(a) = 2*t(a) - 5*v(a). Factor n(j).
5*(j - 3)*(j - 2)**3
Let v(i) = -96*i**2 - 1964*i - 9608. Let h(d) = d**2 - d - 1. Let q(n) = 4*h(n) - v(n). Solve q(y) = 0 for y.
-49/5
Let k(p) = -9*p**2 - 36*p - 56. Let z(b) = 19*b**2 + 71*b + 111. Let d be (3 - 1) + (1 - -6). Let u(h) = d*k(h) + 4*z(h). Find a such that u(a) = 0.
-6, -2
Let l(m) = -78*m**2 - 375*m - 393. Let y(i) = 7*i**2 + 34*i + 36. Let n(u) = -4*l(u) - 45*y(u). Suppose n(t) = 0. What is t?
-8, -2
Let v(i) be the second derivative of i**7/3 + 23*i**6/15 + 2*i**5 + 2*i**4/3 + 49*i + 1. Let v(z) = 0. Calculate z.
-2, -1, -2/7, 0
Let r(m) = -m - 7. Let z be r(-7). Suppose 4*o - 18*o = -2*o. Solve 0*j + z*j**4 - 2/9*j**5 + 4/9*j**2 + o + 2/3*j**3 = 0.
-1, 0, 2
Let c(p) be the third derivative of p**9/12096 - p**8/4032 - p**7/63 - 5*p**6/36 - p**5/3 - 13*p**2. Let h(q) b