j.
-2/3, 0, 1
Factor -10 + 110*b**4 - 25*b**3 - 15*b**3 - 85*b - 30*b**4 - 195*b**2.
5*(b - 2)*(b + 1)*(4*b + 1)**2
Let k(z) be the first derivative of 7 - z**2 + 4*z - 2/3*z**3. Let k(s) = 0. Calculate s.
-2, 1
Let u(m) = -m. Let n(r) = 6*r - 3. Let z(a) = n(a) + 5*u(a). Let s be z(8). Factor 4*c**5 - 2*c**3 + 3*c**3 + 2*c**4 - 3*c**s.
c**3*(c + 1)**2
Determine x so that -3/2*x + 3/2*x**2 - 3 = 0.
-1, 2
Let f = -137/2 + 69. Let t(l) = 5*l + 1. Let r be t(1). Factor -f*c + r*c**2 - 1/2.
(3*c - 1)*(4*c + 1)/2
Let v be 8/(-5)*(-30)/12. Suppose -3*k = -2*s - 9, 3*k = -v*s + 16 + 11. Factor 2*p**4 + 2*p**s + 2/3*p**5 + 0 + 2/3*p**2 + 0*p.
2*p**2*(p + 1)**3/3
Suppose -4*g + 1 + 9 = 2*y, -5*g - y = -17. Factor -2/3*d**3 + 1/3*d + 0 + 0*d**g + 1/3*d**5 + 0*d**2.
d*(d - 1)**2*(d + 1)**2/3
Let d(c) be the third derivative of -3/8*c**4 + 0*c + 0 - 1/112*c**8 + 3*c**2 + 0*c**7 + c**3 - 1/10*c**5 + 1/10*c**6. Solve d(a) = 0 for a.
-2, -1, 1
Let g(a) be the first derivative of a**4/12 + a**3/9 + 8. Factor g(r).
r**2*(r + 1)/3
Let h(f) be the second derivative of -f**5/5 + 5*f**4 - 50*f**3 + 250*f**2 - 11*f. Determine s, given that h(s) = 0.
5
Let u be (-12)/42 + 16/7. Determine l so that -4*l + 4 + u*l + 3*l + l - 2*l**2 = 0.
-1, 2
Suppose 6*l**5 + 40*l - 104*l**4 + 79*l**4 + 100*l**2 + 50*l**3 - 21*l**5 = 0. Calculate l.
-2, -1, -2/3, 0, 2
Let a(o) be the first derivative of o**4/20 + 2*o**3/15 - o**2/10 - 2*o/5 - 5. Factor a(p).
(p - 1)*(p + 1)*(p + 2)/5
Let l(z) be the first derivative of -2*z**6/135 + z**5/90 + z**4/54 - 3*z - 1. Let p(b) be the first derivative of l(b). Factor p(j).
-2*j**2*(j - 1)*(2*j + 1)/9
Factor 8/7 + 40/7*w**2 + 0*w**4 - 2/7*w**5 + 20/7*w**3 + 30/7*w.
-2*(w - 4)*(w + 1)**4/7
Let n be (-8)/(-6)*3/(-2). Let k(s) = -2*s**4 + 2*s**2 + 3. Let t(y) = -2*y**4 + 2*y**2 + 2. Let a(c) = n*k(c) + 3*t(c). Suppose a(j) = 0. What is j?
-1, 0, 1
Let d(i) = i - 1. Let o be d(6). Factor -145/4*f**2 - 1 + 10*f + 49/4*f**o + 235/4*f**3 - 175/4*f**4.
(f - 1)**3*(7*f - 2)**2/4
Let m be 16*6/(-36)*(-6)/4. Let a(l) be the second derivative of 9/7*l**2 + 1/42*l**m + 4*l + 2/7*l**3 + 0. Determine n so that a(n) = 0.
-3
Suppose 2*b = -1 + 5. Suppose 0*c = 5*c + 25, -b*m - 2*c - 2 = 0. Let -2/7 + 6/7*v**m + 4/7*v**3 + 2/7*v**5 - 6/7*v - 4/7*v**2 = 0. What is v?
-1, 1
Let z(y) be the first derivative of -y**7/2520 + y**6/540 - y**5/360 + y**3 - 1. Let u(n) be the third derivative of z(n). Find t, given that u(t) = 0.
0, 1
Let o = -85/7 - -2557/210. Let w(p) be the third derivative of 0 + 3*p**2 + 0*p - o*p**5 + 1/3*p**3 + 0*p**4. Let w(h) = 0. What is h?
-1, 1
Determine n so that -4/7*n**2 + 4/7*n + 0 = 0.
0, 1
Factor -3/5*f**2 + 0 - 6/5*f**3 - 3/5*f**4 + 0*f.
-3*f**2*(f + 1)**2/5
Let j(r) be the second derivative of 1/30*r**6 + 0 - 1/12*r**4 + 0*r**2 - 1/6*r**3 + 1/20*r**5 - 3*r. Suppose j(s) = 0. What is s?
-1, 0, 1
Let k(f) be the first derivative of -2*f**5/25 + f**4/10 + 4*f**3/15 - 1. Factor k(d).
-2*d**2*(d - 2)*(d + 1)/5
Suppose -o - 3 = -2*k - 1, -4*o - 2 = -5*k. Determine l so that -1 + k + 1 - l**3 - 3*l**2 - l**3 + 3*l = 0.
-2, -1/2, 1
Suppose h = -4*m - 10, -16 + 81 = 4*h - 5*m. Suppose 0 = 2*y - 3*r - h, 4*r + 10 = -0*y + 2*y. Suppose -1 + 5*i + i**2 - y*i = 0. What is i?
-1, 1
Let k(g) be the third derivative of g**6/180 + 7*g**5/90 + 5*g**4/12 + g**3 + 8*g**2. Factor k(y).
2*(y + 1)*(y + 3)**2/3
Let t(n) = n**3 - n**2 + 5*n + 1. Let u(q) = q**3 + q**2 + q - 1. Let i(m) = -2*t(m) + 6*u(m). Let i(h) = 0. Calculate h.
-2, -1, 1
Let f be (-147)/(-22) - (-16)/(-88) - 5. Factor 0 + 3/2*c**3 + f*c + 3*c**2.
3*c*(c + 1)**2/2
Let w(f) be the first derivative of f**6/2 + 6*f**5/5 - 3*f**4/4 - 2*f**3 + 3. Determine i, given that w(i) = 0.
-2, -1, 0, 1
Determine g so that 0*g + 0 - 1/3*g**5 + 0*g**4 + 0*g**2 + 1/3*g**3 = 0.
-1, 0, 1
Factor -2*y - 2/5 - 8/5*y**2.
-2*(y + 1)*(4*y + 1)/5
Let f(k) be the third derivative of -k**5/140 - k**4/56 + k**3/7 - 9*k**2. Suppose f(z) = 0. What is z?
-2, 1
Let z(i) be the first derivative of -2/3*i**3 - 1 - 2/3*i + 5/3*i**2 + 8/15*i**5 - 5/6*i**4. Find x, given that z(x) = 0.
-1, 1/4, 1
Suppose -4*s = -4*p - 36, -s + 25 = 4*p - 7*p. Let o be 2/p + 52/80. Suppose o*t**3 - 4/5*t**2 + 2/5*t + 0 = 0. What is t?
0, 1
Let l(g) be the second derivative of -g**10/52920 + g**9/17640 - g**8/23520 + g**4/3 - g. Let h(b) be the third derivative of l(b). Solve h(m) = 0 for m.
0, 1/2, 1
Let h(a) be the second derivative of a**4/60 - a**3/30 + 19*a. Factor h(r).
r*(r - 1)/5
Let j(o) be the first derivative of o**6/432 + 7*o**5/720 + o**4/72 + 8*o**3/3 + 7. Let r(v) be the third derivative of j(v). Determine l, given that r(l) = 0.
-1, -2/5
Let b(o) = -6*o**4 - 7*o**3 - o**2 - 7. Let k(x) = -5*x**4 - 6*x**3 - x**2 - 6. Suppose -1 = -4*s - 25. Let v(r) = s*b(r) + 7*k(r). Factor v(w).
w**2*(w - 1)*(w + 1)
Let a(t) = -6*t**4 - 28*t**3 + 32*t**2 + 22*t. Let v(u) = -u**2 - u. Let b(i) = 2*a(i) + 44*v(i). Factor b(z).
-4*z**2*(z + 5)*(3*z - 1)
Let j(z) be the second derivative of z**5/10 - z**4/3 + z**3/3 - 11*z. Factor j(q).
2*q*(q - 1)**2
Factor 0 - 1/4*t**3 + 1/8*t + 1/8*t**2.
-t*(t - 1)*(2*t + 1)/8
Let y = -23 - -23. Let f(h) be the second derivative of -2*h + y*h**4 + 1/40*h**5 + 0*h**2 + 0 + 0*h**3. Factor f(k).
k**3/2
Suppose 2*l + 2*l - 4*v = -84, 5*v - 55 = 3*l. Let k = l + 27. Suppose -2/3*y**k - 4/3*y + 0 = 0. What is y?
-2, 0
Suppose -4 = -l + 15. Let w be 1 + -2 - (1 - 40). Find v such that -22*v**2 - w*v**3 - v - l*v**4 - 3*v - v**4 = 0.
-1, -1/2, -2/5, 0
Let l = -24 + 29. Let v(n) be the third derivative of -7/600*n**6 + 0*n**4 + 2/525*n**7 - 1/150*n**l + 0*n**3 + 3*n**2 + 0 + 0*n. Let v(q) = 0. What is q?
-1/4, 0, 2
Solve -3/4*o**4 + 3/4*o**2 + 3/4*o**5 + 0*o + 0 - 3/4*o**3 = 0.
-1, 0, 1
Let h be 2/(-4) + (-5)/10. Let k be ((0/1)/h)/2. Factor 1/5*n**2 - 1/5*n**5 - 1/5*n**4 + 1/5*n**3 + k*n + 0.
-n**2*(n - 1)*(n + 1)**2/5
Let l be 2/6 - 0/(-5). Let d(o) be the first derivative of l*o**3 + o + o**2 - 2. Factor d(q).
(q + 1)**2
Let w(q) be the first derivative of 1/4*q**3 + 0*q**2 - q - 3 - 1/16*q**4. Factor w(u).
-(u - 2)**2*(u + 1)/4
Let u(n) be the first derivative of n**4/4 - 5*n**3/3 + 3*n**2/2 + 9*n + 5. Factor u(h).
(h - 3)**2*(h + 1)
Let d(i) be the second derivative of -i**5/20 + i**4/8 + i**2 + 2*i. Let h(z) be the first derivative of d(z). Let h(w) = 0. Calculate w.
0, 1
Suppose -5*f - 3*g + 19 = 0, f - 2*g = 4*f - 12. Let p(r) be the second derivative of -1/24*r**3 - 3*r + 0 + 1/24*r**4 - 1/8*r**f. Find c, given that p(c) = 0.
-1/2, 1
Let -80*b**5 - b**2 - 21*b**3 - 134*b**3 - 10*b**3 + 360*b**4 + 21*b**2 = 0. Calculate b.
0, 1/4, 4
Let z be 3423/495 + (-2)/11. Let q = z - 27/5. What is a in q*a**4 + 0 + 11/3*a**2 - 13/3*a**3 - 2/3*a = 0?
0, 1/4, 1, 2
Let -4*g**2 + g + 5*g**2 + 0*g**2 = 0. Calculate g.
-1, 0
Let z(f) be the second derivative of f**7/126 + 7*f**6/45 + 23*f**5/20 + 35*f**4/9 + 50*f**3/9 + 2*f + 5. Factor z(d).
d*(d + 2)**2*(d + 5)**2/3
Let w(r) be the first derivative of r**4/20 - r**3/10 + 2*r - 2. Let k(t) be the first derivative of w(t). Find y, given that k(y) = 0.
0, 1
Let d = 1 - 1. Factor 1 + d*y**2 - 3 + 2*y**2.
2*(y - 1)*(y + 1)
Let u(k) be the second derivative of -k**5/30 - k**4/54 + k. Factor u(s).
-2*s**2*(3*s + 1)/9
Let h(j) be the first derivative of -j**3 + 2*j**2 - j - 7. Factor h(v).
-(v - 1)*(3*v - 1)
Suppose -t = 4*t - 15. Suppose 0*q**2 - 1/4*q**t + 0*q + 0 = 0. What is q?
0
Let w(y) be the first derivative of -2/45*y**3 + 7 + 1/15*y**4 - 2/75*y**5 + 0*y + 0*y**2. Find t, given that w(t) = 0.
0, 1
Factor -2/3*v**2 + 0 + 2/3*v.
-2*v*(v - 1)/3
Let z be (0 + 1/1)/210. Let o(h) be the third derivative of z*h**7 + 2*h**2 + 1/60*h**5 - 1/60*h**6 + 0*h**3 + 0 + 0*h**4 + 0*h. Factor o(m).
m**2*(m - 1)**2
Let v(f) be the second derivative of 25*f**6/4 + 135*f**5/8 - 195*f**4/4 + 43*f**3 - 18*f**2 + 2*f. Factor v(i).
3*(i + 3)*(5*i - 2)**3/2
Factor -2*c**4 - 6*c + 37*c**2 - 2*c**3 - 69*c**2 + 42*c**2.
-2*c*(c - 1)**2*(c + 3)
Let w(l) be the second derivative of -5*l**6/9 + 3*l**5/2 + 13*l**4/9 - 4*l**3 + 8*l**2/3 + 16*l. Solve w(b) = 0.
-1, 2/5, 2
Let l(r) be the second derivative of -r**7/21 + 4*r**6/15 - 2*r**5/5 - r**4/3 + 5*r**3/3 - 2*r**2 - r - 6. Factor l(y).
-2*(y - 2)*(y - 1