 48*z + 107*z**3 - 58*z**2 - 5 = 0. Calculate z.
2/9, 1, 2
Let s be -5*(-3)/((-45)/(-6)). Suppose -28 = -s*j + 2. Solve -j - 24*t**2 + 60*t - 17 - 12*t + 4*t**3 + 0*t**3 = 0 for t.
2
Find w such that -32/5*w + 343/5*w**5 - 1078/5*w**4 - 328/5*w**2 - 1092/5*w**3 + 0 = 0.
-2/7, 0, 4
Find a such that 50*a**3 - 160 + 68*a - 24721*a**4 + 24716*a**4 + 212*a - 180*a**2 = 0.
2, 4
Let i(q) = -8*q**4 + 70*q**3 - 28*q**2 - 28*q - 12. Let s(h) = 3*h**4 - 28*h**3 + 11*h**2 + 11*h + 5. Let k = 14 - 26. Let y(b) = k*s(b) - 5*i(b). Factor y(n).
2*n*(n - 2)**2*(2*n + 1)
Let y be (-10)/(-3)*(-84)/(-8). Factor -18*l**2 - 19*l**2 + y*l**2 + 4*l**3.
2*l**2*(2*l - 1)
Let p = -10 + 19. Factor p*i**3 - 12 + 15*i + 22 - 21*i**2 - 13.
3*(i - 1)**2*(3*i - 1)
Let 2/5*s**3 - 2/5*s**4 + 0*s + 4/5*s**2 + 0 = 0. Calculate s.
-1, 0, 2
Let v = 1159/3 + -385. Let x(a) be the first derivative of 0*a**2 + 0*a + 1 - 2/3*a**6 - 3*a**4 + v*a**3 + 12/5*a**5. Factor x(y).
-4*y**2*(y - 1)**3
Suppose 25 = 4*y + y, 5*y - 37 = 3*o. Let u be o/(-6)*(-1)/(-2). Solve -3/2*g**2 - u + 11/6*g = 0 for g.
2/9, 1
Suppose 1/3*t**4 - 5/3*t**3 - 10/3 + 17/3*t - t**2 = 0. Calculate t.
-2, 1, 5
Factor i**2 - 6*i + 12*i - 18*i + 2*i**2 - 15.
3*(i - 5)*(i + 1)
Let x(y) be the second derivative of 14/3*y**3 - 7/5*y**5 + 0 - 5/3*y**4 + 12*y**2 + 38*y - 2/15*y**6. Factor x(f).
-4*(f - 1)*(f + 1)**2*(f + 6)
Solve -114 + d**3 - 2*d**3 - 169*d - 26*d**2 + 114 = 0.
-13, 0
Let f = 53 + -49. Let i(l) be the second derivative of 0 + 1/12*l**f - 9/10*l**2 + 1/100*l**5 + 1/10*l**3 + 2*l. Factor i(c).
(c - 1)*(c + 3)**2/5
Let p(j) = 3*j**2 + 9*j - 12. Let f be p(1). What is q in f + 0*q**3 + 6/13*q**5 + 8/13*q**2 + 0*q - 14/13*q**4 = 0?
-2/3, 0, 1, 2
Let q(o) = -2*o**3 - 10*o**2 - o - 5. Let l(m) = -2*m**3 - 10*m**2 - m - 5. Let f(t) = -6*l(t) + 5*q(t). Let c be f(-5). Solve 1/4*h**2 - 1/2*h + c = 0.
0, 2
Let l(c) = -c**3 + 2*c**2 + 2*c + 2. Let k(v) = 2*v**3 - 4*v**2 - 5*v - 5. Let g = 17 + -7. Let u(p) = g*l(p) + 4*k(p). Factor u(d).
-2*d**2*(d - 2)
Let k(l) = 3*l + 24. Let f be k(-8). Let g(h) be the first derivative of 2/5*h + f*h**2 + 4 - 2/15*h**3. Determine m so that g(m) = 0.
-1, 1
Solve 323/7*w**2 + 36/7*w - 36/7*w**3 + 1/7*w**4 - 324/7 = 0 for w.
-1, 1, 18
Let z(k) be the third derivative of 0 - 17*k**2 - 1/270*k**5 - 1/27*k**4 - 1/9*k**3 + 0*k. Factor z(j).
-2*(j + 1)*(j + 3)/9
Let x = -6253/72 + 709/8. Determine h, given that -4/9*h**3 + x*h**2 + 0 + 0*h = 0.
0, 4
Find b such that 0 + 6/5*b + 3/5*b**3 + 9/5*b**2 = 0.
-2, -1, 0
Let l be -28*(-5 - (-44)/32). Let k = -101 + l. Determine b, given that k*b**2 + 0 - 1/2*b = 0.
0, 1
Let q(m) be the second derivative of 1/4*m**5 + 13*m - 5/4*m**4 + 5/3*m**3 + 0 + 0*m**2. Factor q(f).
5*f*(f - 2)*(f - 1)
Let h be (6/(-824))/((-27)/24). Let o = h - -592/4017. Solve -o*p**3 + 2/13 + 2/13*p - 2/13*p**2 = 0 for p.
-1, 1
Let s(b) be the second derivative of b**6/30 - b**5/5 + b**4/12 + b**3 - 22*b - 2. Find l, given that s(l) = 0.
-1, 0, 2, 3
Let q(h) be the first derivative of -2*h**6/3 + 2*h**4 - 2*h**2 - 11. Factor q(m).
-4*m*(m - 1)**2*(m + 1)**2
Let c(b) = b**3 - 6*b**2 - 2*b + 4. Let m = 20 + -13. Let w be c(m). Solve w*t**5 + 2*t - t - 38*t**5 - t**3 - t**3 = 0.
-1, 0, 1
Let b(u) be the third derivative of -u**6/60 + 13*u**5/6 - 272*u**4/3 + 1024*u**3/3 - 4*u**2 + 28*u. Let b(r) = 0. What is r?
1, 32
Let s be 6/8 + (-88)/32 + 2. Let u(m) be the third derivative of 0*m + 1/40*m**6 + s*m**5 + 0 - m**3 - 3/8*m**4 + 5*m**2. Let u(c) = 0. Calculate c.
-1, 2
Let w be 6/(-180)*30/(-84). Let p(d) be the second derivative of d + 0 + 0*d**6 + 0*d**4 + 1/20*d**5 - 1/12*d**3 + 0*d**2 - w*d**7. Solve p(u) = 0 for u.
-1, 0, 1
Let z(j) = 23*j**3 - 2*j**2 + 5*j + 6. Let d(b) = 19*b**3 - 2*b**2 + 5*b + 6. Let m(x) = 6*d(x) - 5*z(x). Factor m(w).
-(w - 2)*(w + 1)*(w + 3)
Factor -2*o + 10*o - 5392*o**2 + 16 + 5393*o**2.
(o + 4)**2
Let q = -2057/9 - -689/3. Suppose -q*p + 8/9*p**2 + 4/9 - 2/9*p**3 = 0. What is p?
1, 2
Factor 2595*v - 5301*v - 48 + 2661*v + 3*v**2.
3*(v - 16)*(v + 1)
Let l(g) be the second derivative of 0*g**3 + 0*g**4 - 1/2*g**2 + 0*g**5 + 0 + 2*g - 1/180*g**6. Let v(u) be the first derivative of l(u). Factor v(s).
-2*s**3/3
Factor 1 - 1/8*p**2 + 7/8*p.
-(p - 8)*(p + 1)/8
Suppose -2*g - 5*l + 26 = 0, 5*g - 2*g - 3*l - 18 = 0. Let -g*a - 4*a + 3*a**4 - a**3 - 41*a**2 + 7*a**3 + 32*a**2 + 12 = 0. What is a?
-2, 1
Suppose -3*m - 1 + 19 = 0. Suppose -v = -3*r + m*r - 6, -5*r = 4*v - 10. Factor -8/9 - 2/9*d**3 + 0*d + 2/3*d**r.
-2*(d - 2)**2*(d + 1)/9
Let y(d) = d**2 + 32*d + 90. Let o be y(-29). Let w(g) be the first derivative of 1/3*g**4 - 1/6*g**2 + 1/3*g**o - 4 + 0*g. Solve w(z) = 0 for z.
-1, 0, 1/4
Let t(a) be the first derivative of 3*a**4/4 - 8*a**3 + 57*a**2/2 - 36*a + 21. Let t(w) = 0. What is w?
1, 3, 4
Let q(t) be the first derivative of -t**4/12 - 16*t**3/9 - 29*t**2/6 - 14*t/3 + 37. Factor q(a).
-(a + 1)**2*(a + 14)/3
Let c(d) = 6*d**3 + 28*d**2 - 10*d. Let j be c(-5). Let j*k**3 - 9/2*k**2 + 3/2*k**4 - 3*k + 0 = 0. What is k?
-1, 0, 2
Let m(a) = -3*a - 29. Let k be m(13). Let w = k - -68. Solve 0*u**2 + 0*u**4 + w*u**3 + 0*u + 0 + 1/4*u**5 = 0 for u.
0
Let i(a) be the first derivative of a**2 + 3*a - 6. Let f be i(0). Factor -3*l**f - 17*l**5 + 3*l + l**2 + 3*l**4 + 16*l**5 - 3*l.
-l**2*(l - 1)**3
Let b(d) be the first derivative of 4*d**5/5 - 64*d**4 + 4096*d**3/3 + 484. Factor b(s).
4*s**2*(s - 32)**2
Suppose -2*u = 3*u - 25. Factor -15*i**2 + 11 + u*i**3 + 18 - 9.
5*(i - 2)**2*(i + 1)
Let v(n) be the second derivative of -n**5/15 + 16*n**4/3 + 248*n. Factor v(g).
-4*g**2*(g - 48)/3
Let j(q) be the second derivative of 10*q + 1/6*q**3 + 1/120*q**6 + 0 + 1/6*q**4 + 0*q**2 + 1/16*q**5. Solve j(w) = 0.
-2, -1, 0
Let b(r) be the third derivative of -r**8/672 - 5*r**7/126 - 77*r**6/360 - 2*r**5/5 - 11*r**4/144 + 13*r**3/18 - 275*r**2. Solve b(z) = 0 for z.
-13, -2, -1, 1/3
Let a(r) = 4*r**4 - 12*r**3 + 9*r**2 + 2*r + 3. Let t(n) = n**2 - 2*n - 1. Let v(l) = a(l) + 3*t(l). Determine d so that v(d) = 0.
0, 1
Let i(b) = b**2 - 1. Let f(a) = -a - 1. Let h(q) = -4*f(q) + i(q). Factor h(p).
(p + 1)*(p + 3)
Find z such that 11/2*z - 1/2*z**2 + 0 = 0.
0, 11
Suppose 5 = 26*t - 25*t. Factor 12*u + 7*u**2 + t*u**2 + u**3 + 4 + 3*u**3.
4*(u + 1)**3
Let m be 1 - (2 - (1 - -2)). Let y = -644 + 2579/4. What is p in 1/2 + m*p**2 + 7/4*p + y*p**3 = 0?
-1, -2/3
Let c(f) be the second derivative of -5*f**4/12 + 10*f**3/3 - 10*f**2 - 295*f. Find v such that c(v) = 0.
2
Solve -22/13*n**2 - 8/13*n**4 + 0 + 4/13*n + 2*n**3 = 0 for n.
0, 1/4, 1, 2
Let a be (-2 - -1)*7/((-28)/52). What is u in -a*u**2 + 2 + 14*u + 15*u**2 - 10*u + 0 = 0?
-1
Let c = 17 + -23. Let b = c + 10. Factor 4*x**2 - 69*x - 2*x**b + 73*x + 2*x**2.
-2*x*(x - 2)*(x + 1)**2
Let v be (18/10)/(56/40). Let t = 27 + -24. Determine b so that -3/7*b**t + v*b**2 - 3/7*b**4 + 6/7 + 15/7*b = 0.
-1, 2
Let r = -1165 + 1165. Let l(a) be the third derivative of -a**2 + 1/480*a**6 + 0 + 1/80*a**5 + r*a + 0*a**4 - 1/6*a**3. Find u such that l(u) = 0.
-2, 1
Let y = 13 - 12. Suppose 2*n - 7 = -y. Factor 4 + 0*k - 7*k**2 + k**2 + 2*k**n + 2*k**4 - 2*k.
2*(k - 1)**2*(k + 1)*(k + 2)
Let c = 2686 - 2683. Let 0 + 0*u + 2/9*u**4 + 0*u**2 + 0*u**c = 0. What is u?
0
Let o(x) = 2*x**2 - 7*x - 1. Let f be o(4). Factor -144*r**2 + 143*r**2 + 3*r + 1 - 3*r**3 + 0*r**f.
-(r - 1)*(r + 1)*(3*r + 1)
Let p(m) = 3*m**3 - 8*m**2 - 32*m - 42. Let x(f) = -4*f**3 + 9*f**2 + 30*f + 43. Let g(y) = 3*p(y) + 2*x(y). Factor g(c).
(c - 10)*(c + 2)**2
Let c(f) be the third derivative of f**5/30 + 13*f**4/6 - 21*f**2. Suppose c(g) = 0. What is g?
-26, 0
Let i(y) be the first derivative of y**6/40 + 3*y**5/40 - 7*y**4/16 + y**3/2 + 7*y + 36. Let m(j) be the first derivative of i(j). What is n in m(n) = 0?
-4, 0, 1
Let d = 269 - 269. Let n(o) be the third derivative of -8*o**2 + 1/90*o**5 + d*o - 1/6*o**4 + 0 + o**3. Factor n(w).
2*(w - 3)**2/3
Determine h, given that 580*h**5 - 114*h**3 - 589*h**5 + 22 - 66*h**4 - 36*h**2 + 51*h + 8 = 0.
-5, -1, 2/3
Let c be 5 + (-2 - (-1 + 0)). Let w be 2/9 + 192/108. Solve -2*y**4 + 0*y**2 - 2*y + c*y**4 + w*y**2 + 4*y**2 - 6*y**3 = 0 for y.
0, 1
Let r(k) = 5*k**3 + 75*k**2 - 3*k - 75. Let m(u) = 11*u**3 + 150*u**2 - 6