t is g?
0, 1
Let t(j) be the second derivative of -2*j**7/7 + 34*j**6/15 - 9*j**5/5 - 5*j**4/3 + j - 129. Solve t(u) = 0 for u.
-1/3, 0, 1, 5
Let v be (-27)/15 - 1/5. Let h(u) = u**2 + 4*u + 2. Suppose -12*a + 10*a + 10 = 0. Let z(p) = 3*p**2 + 9*p + 5. Let o(b) = a*h(b) + v*z(b). Factor o(y).
-y*(y - 2)
Let i = -5870/57 + 103. Let t = 173/114 - i. Let -1/2*p**2 - t*p + 1/2 + 3/2*p**3 = 0. What is p?
-1, 1/3, 1
Let s = 132 + -130. Factor 0 + 2/9*m + 2/9*m**s.
2*m*(m + 1)/9
Let n = 14862 - 14860. What is m in -3/7 - 24/7*m - 48/7*m**n = 0?
-1/4
Factor -2*j**3 - 2/3*j**4 - 4/3*j**2 + 0*j + 0.
-2*j**2*(j + 1)*(j + 2)/3
Let g = -22 + 103. Let w = g - 79. Factor 0 - 4/7*z**3 + 4/7*z + 0*z**w.
-4*z*(z - 1)*(z + 1)/7
Let p = -1249255/9 - -138429. Let w = -376 - p. Suppose -14/9*u + 2*u**2 + 2/9*u**4 + 4/9 - w*u**3 = 0. Calculate u.
1, 2
Let v be -11 + 3 + 13 + -2. Let o(d) be the second derivative of -2/5*d**6 - 1/2*d**4 + 0*d**2 + 1/14*d**7 + 3/4*d**5 + 0 - v*d + 0*d**3. Factor o(f).
3*f**2*(f - 2)*(f - 1)**2
Let k(o) be the third derivative of o**7/1260 + 7*o**6/720 + o**5/72 - 7*o**4/144 - o**3/6 - 9*o**2 + 2*o. Suppose k(m) = 0. What is m?
-6, -1, 1
Let s(o) be the first derivative of -o**4/32 + o**3/6 - o**2/16 - 3*o/4 + 141. Determine v, given that s(v) = 0.
-1, 2, 3
Suppose 4/13*c**2 + 0*c + 76/13*c**4 + 0 - 42/13*c**5 - 38/13*c**3 = 0. Calculate c.
0, 1/7, 2/3, 1
Factor 18/5*v - 2/5*v**2 - 28/5.
-2*(v - 7)*(v - 2)/5
Let y(a) = 5*a**2 - 5*a + 6. Let n(b) = 4*b**2 - 5*b + 5. Let x(k) = -6*n(k) + 5*y(k). Factor x(f).
f*(f + 5)
Let s(h) be the second derivative of -3*h**5/140 + 11*h**4/28 - 4*h**3/7 - 30*h**2/7 + 105*h. Let s(o) = 0. Calculate o.
-1, 2, 10
Factor -7/9 - 1/9*u**2 - 8/9*u.
-(u + 1)*(u + 7)/9
Let n(r) = 29*r**4 - 24*r**3 - 5*r**2 - 17. Let s(z) = 5*z**4 - 4*z**3 - z**2 - 3. Let f = -62 - -68. Let g(a) = f*n(a) - 34*s(a). Factor g(p).
4*p**2*(p - 1)**2
Let g be (4035/135)/(2/(-6)). Let h = 1895/21 + g. Solve 10/7*i**2 - 8/7*i - h*i**3 + 2/7 = 0 for i.
1/2, 1
Let q(z) be the third derivative of 3*z**2 + 0*z**4 - 1/525*z**7 + 0*z**3 + 1/50*z**6 + 0*z**5 + 0 - 2*z. What is b in q(b) = 0?
0, 6
Let v be (-3269)/84 + (-6)/8. Let n = 40 + v. Suppose 0*r**4 + 0*r**2 - 2/3*r**3 + n*r + 0 + 1/3*r**5 = 0. What is r?
-1, 0, 1
Let o(p) be the first derivative of -5*p**3/3 - 295*p**2/2 - 290*p + 59. Factor o(c).
-5*(c + 1)*(c + 58)
Let i(s) be the first derivative of s**7/210 - s**6/40 + s**5/20 - s**4/24 + 13*s**2 + 11. Let y(a) be the second derivative of i(a). Factor y(b).
b*(b - 1)**3
Factor -2*r + 2*r**4 + 299*r**3 - 287*r**3 + 2*r - 14*r**2.
2*r**2*(r - 1)*(r + 7)
Let i(v) be the third derivative of -v**7/105 + 2*v**6/15 - 11*v**5/15 + 2*v**4 - 3*v**3 - 4*v**2 + 2. Factor i(j).
-2*(j - 3)**2*(j - 1)**2
Let q(d) = -d**2 - 18*d - 46. Let c be q(-15). Let w be (-8)/(-2) - (c + 5). Factor 2*a + w*a**2 - 4/3 - 2/3*a**3.
-2*(a - 1)**2*(a + 2)/3
Let t(o) = 3*o - 8. Let r be t(6). Let j be 2/r - 5/25. Factor -y**3 + y**2 + 2*y**2 + j*y**2.
-y**2*(y - 3)
Let t(q) = -6*q**2 - 2*q - 5. Let z(y) be the first derivative of y**3/3 + y + 7. Let h(d) = t(d) + 5*z(d). Factor h(j).
-j*(j + 2)
Let i(v) = -4*v + 4*v + v. Let x be -1 + 4 - 6 - -7. Let f(s) = -4*s**2 - 4*s + 16. Let m(w) = x*i(w) + f(w). Let m(q) = 0. Calculate q.
-2, 2
Let c(w) be the second derivative of 9*w**6/70 + 9*w**5/140 - 31*w**4/14 - 38*w**3/7 - 36*w**2/7 - 9*w - 5. Let c(b) = 0. What is b?
-2, -2/3, 3
Let -2/5*o**3 + 46/5 + 42/5*o**2 + 18*o = 0. What is o?
-1, 23
Suppose 22*o - 180 = -68*o. Let b(a) be the third derivative of -1/10*a**5 - 1/8*a**4 + 0*a + 0 + 1/40*a**6 + a**3 - 2*a**o. Find v, given that b(v) = 0.
-1, 1, 2
Let v(p) be the second derivative of -p**4/60 + 8*p**3/5 - 288*p**2/5 + 82*p. Factor v(h).
-(h - 24)**2/5
Suppose 5 = 4*k - 2*k + r, -k = -3*r - 20. Suppose 5*f - 4*w = 931, -142 = -k*f - 4*w + 757. Factor -3*n**2 - 183 + f.
-3*n**2
Let b(u) be the second derivative of u**4/28 + 20*u**3/7 + 333*u**2/14 + 1005*u. Determine d so that b(d) = 0.
-37, -3
Let i be -1 + 0 - (-3 + (0 - -2)). Suppose i = 4*t + 2*g - 24, 5*t - 5*g - 18 + 3 = 0. What is h in -3/2*h**2 + 3/2*h**t + 0*h + 0 + 9/2*h**3 - 9/2*h**4 = 0?
0, 1
Let h be 9/(243/(-6))*(-6)/48. Let s(k) be the second derivative of 1/60*k**6 + 1/72*k**4 - 12*k + 0 + 1/24*k**5 - h*k**3 + 0*k**2. Factor s(t).
t*(t + 1)**2*(3*t - 1)/6
Let a be 3 + ((-80)/32)/(39/42). Solve -6/13*j**2 - 8/13*j + a*j**3 + 2/13*j**4 + 8/13 = 0 for j.
-2, 1
Let h be (-29 + 33)*((-10)/(-8) - 1). Let w(d) = -d - 6 + 4 + 3. Let y(x) = 15*x**2 + 7*x - 4. Let b(v) = h*y(v) - 2*w(v). Factor b(r).
3*(r + 1)*(5*r - 2)
Let c(g) be the second derivative of -g**5/60 - g**4/24 + 23*g**2/2 + 12*g. Let j(p) be the first derivative of c(p). Factor j(i).
-i*(i + 1)
Let c(z) be the third derivative of 0 - 1/4*z**5 + 0*z + 4*z**2 + 5/12*z**4 + 0*z**3 + 1/24*z**6. Factor c(j).
5*j*(j - 2)*(j - 1)
Suppose 8 = -7*d + 8*d. Solve -6*i**2 + 4*i - i**2 + d*i**2 = 0 for i.
-4, 0
Factor 30*z - 10*z**3 + 401*z**2 - 796*z**2 + 5*z**4 + 370*z**2.
5*z*(z - 3)*(z - 1)*(z + 2)
Let f be (8 + 49/(-6))*-14. Let p(n) be the first derivative of 2/5*n**5 + 0*n + f*n**3 - 7/4*n**4 + 3 - n**2. Solve p(t) = 0.
0, 1/2, 1, 2
Determine f, given that -2/5*f**2 + 72/5 + 14*f = 0.
-1, 36
Let q = 25 + -25. Suppose -i + h - 2 = q, -5*h + 16 = 2*i - 2*h. Factor 6 + 58*x**2 - 2*x - 67*x**i - 13*x.
-3*(x + 2)*(3*x - 1)
Let z(m) be the third derivative of 1/20*m**5 + 0*m**3 + 0 + 0*m**4 + 0*m - 3*m**2. Factor z(j).
3*j**2
Find m such that -28*m**3 + 48*m + 4*m**5 + 8*m**2 + 424*m**4 + 420*m**4 - 844*m**4 - 32 = 0.
-2, 1, 2
Suppose 56 = 7*o + 14. What is a in 2 - o + 2 + 0*a + 2*a**2 - a + a**3 = 0?
-2, -1, 1
Factor -5776 - 1/4*y**3 - 5700*y + 303/4*y**2.
-(y - 152)**2*(y + 1)/4
Let c(l) be the second derivative of -l**4/3 + 36*l**3 + 224*l**2 - 2*l - 73. Find a, given that c(a) = 0.
-2, 56
Let p(n) = n + 22. Let c be p(-16). Solve j**4 - c*j**2 + 9*j**2 - 4 + 4*j - 2*j**4 - 2*j**3 = 0 for j.
-2, 1
Let q(z) = z**2 - 10*z - 11. Let m = -46 + 57. Let r be q(m). Factor 0*h + r - 2/5*h**4 - 18/5*h**2 + 12/5*h**3.
-2*h**2*(h - 3)**2/5
Let 3*o**2 + 2*o**3 + 0*o**3 - 12*o - o**3 + 2*o**3 - 12*o**2 = 0. What is o?
-1, 0, 4
Let w(c) = -3*c**4 - 3*c**3 + 18*c**2 - 12*c + 12. Let u(j) = -j**4 - j**3 + 7*j**2 - 5*j + 5. Let v(a) = -12*u(a) + 5*w(a). Determine t so that v(t) = 0.
-2, 0, 1
Determine b, given that -3*b**3 - 69*b + 74*b + 2 + 4*b**3 + 4*b**2 = 0.
-2, -1
Suppose -4*v**5 + 11731*v**2 - 525*v**4 - 13005 + 3898*v**3 - 52281*v**2 + 9*v**5 + 10652*v**3 + 39525*v = 0. What is v?
1, 51
Let n(o) be the second derivative of 0 + 5/2*o**2 + 35/18*o**3 + 30*o + 1/12*o**5 + 25/36*o**4. Let n(j) = 0. Calculate j.
-3, -1
Let n(x) be the first derivative of x**6/21 + 62*x**5/35 - 99*x**4/14 + 202*x**3/21 - 34*x**2/7 + 352. Factor n(f).
2*f*(f - 1)**3*(f + 34)/7
Let k = 350/13 + -1361/52. Let f(n) be the second derivative of k*n**2 - 9/40*n**6 - 9/16*n**5 + 11/8*n**3 + 0 + 11/16*n**4 - 7*n. Suppose f(i) = 0. What is i?
-2, -1/3, 1
Factor -10*z**5 + 6*z**2 - 4*z**3 + 11*z**3 + 9*z**5.
-z**2*(z - 3)*(z + 1)*(z + 2)
Let m(x) be the first derivative of 4/3*x**3 + 0*x - 2*x**4 - 4/5*x**5 + 26 + 4*x**2. Find l such that m(l) = 0.
-2, -1, 0, 1
Suppose 0 = -3*k + 2*k - 3, -2*b - 2*k - 2 = 0. Suppose 2*c - b*s = -0*c + 28, 3*c + 5*s - 74 = 0. Factor c*p**3 + 8*p**2 + 2*p + p**2 + 4*p**2 - p**2.
2*p*(3*p + 1)**2
Let f(o) = 5*o - 2. Let h be f(1). Let w(u) be the second derivative of -1/9*u**4 + 0*u**h - 3*u + 0 + 1/45*u**6 + 1/3*u**2 + 0*u**5. Factor w(x).
2*(x - 1)**2*(x + 1)**2/3
Factor -20*b**3 - b**5 - 23*b**3 - b**5 + 45*b**3.
-2*b**3*(b - 1)*(b + 1)
Let i(x) be the second derivative of -11*x**5/80 + 67*x**4/24 - 35*x**3/2 + 9*x**2 - 51*x + 4. Find t such that i(t) = 0.
2/11, 6
Let n(z) = -24*z**2 - 39*z - 15. Suppose 0*w + 245 = 5*w. Let r(g) = 3 + 12 + w*g**2 + 77*g + 0 + 14. Let c(l) = -5*n(l) - 3*r(l). What is q in c(q) = 0?
-2/3
Let s be (((-12)/(-189))/(2/(-15)))/(2/(-36)). What is f in -12/7 - 99/7*f**2 - 60/7*f**3 - 12/7*f**4 - s*f = 0?
-2, -1/2
Let -952/13*v + 8/13 + 28322/13*v**2 = 0. What is v?
2/119
Let w(s) be the second derivative of s**5/50 - 17*s**4/5 + 1156*s**3/5 - 39304*s**2/5 + 238*s. Factor w(l).