 y in 38*y**2 - 8 - 3*y**2 + 3 + 25*y - 5 = 0?
-1, 2/7
Suppose -5 = -2*t + 3. Factor -2*b**5 + 3*b**3 - 7*b**3 - 4*b**2 - 2 + 6*b**t + 6*b + 0*b**5.
-2*(b - 1)**4*(b + 1)
Let u(r) be the first derivative of -r**4/32 - r**3/6 - 3*r**2/16 + 7. Factor u(d).
-d*(d + 1)*(d + 3)/8
Let c(a) be the first derivative of -a**6/27 + 2*a**5/45 + a**4/18 - 2*a**3/27 + 2. Solve c(n) = 0.
-1, 0, 1
Let i(x) be the second derivative of x**10/30240 - x**9/7560 + x**8/6720 - x**4/4 - 3*x. Let n(t) be the third derivative of i(t). Find a, given that n(a) = 0.
0, 1
Let y be 8 + (-168)/44 - (0 + 4). Let h(j) be the second derivative of 3/22*j**4 + 1/165*j**6 - 2*j + 0 + 7/33*j**3 + 1/22*j**5 + y*j**2. Factor h(z).
2*(z + 1)**3*(z + 2)/11
Let u(c) be the second derivative of 0 + 1/3*c**3 + 0*c**2 - 3*c - 1/12*c**4. Suppose u(p) = 0. Calculate p.
0, 2
Let w(x) = 2*x**2 - 6*x - 3. Let h(z) = z**2 - 6*z - 2. Let y(r) = 6*h(r) - 4*w(r). Solve y(o) = 0.
-6, 0
Let t(c) = -5*c**3 + 9*c**2 - 7. Let b(n) = -2*n**3 + 4*n**2 - 3. Let i(k) = -7*b(k) + 3*t(k). Factor i(l).
-l**2*(l + 1)
Let n = -124 - -622/5. Factor n*p**3 + 0 + 0*p**2 - 2/5*p.
2*p*(p - 1)*(p + 1)/5
Let b(v) = -4*v**5 + 7*v**4 - 5*v**2 + 2*v + 1. Let f(i) = i**5 - i**4 - i**2 + i - 1. Let h(r) = b(r) + f(r). Determine l, given that h(l) = 0.
-1, 0, 1
Let b = 445/77 - -15/11. Let 24/7*f - 22/7*f**2 + b*f**4 - 60/7*f**3 + 8/7 = 0. What is f?
-2/5, 1
Let h(v) be the first derivative of -v**6/6 - v**5 - v**4/4 + 7*v**3 + 9*v**2 - 28. Factor h(j).
-j*(j - 2)*(j + 1)*(j + 3)**2
Find w such that 14*w + 15*w**5 + 25*w**4 - 25*w**2 - 25*w**3 + 8*w - 12*w = 0.
-2, -1, 0, 1/3, 1
Let r(j) be the third derivative of -1/672*j**8 + 0*j - 1/105*j**7 - 3*j**2 - 1/80*j**6 + 1/30*j**5 + 0*j**3 + 0 + 1/12*j**4. Solve r(v) = 0 for v.
-2, -1, 0, 1
Let x(k) be the first derivative of 1/6*k**4 - 3 + 0*k + 1/12*k**2 - 5/18*k**3. Factor x(a).
a*(a - 1)*(4*a - 1)/6
Let t(n) be the first derivative of n**3/21 - n**2/7 - 5. What is j in t(j) = 0?
0, 2
Let z(o) = 4 - 2 - 6*o - 3*o**2 + 2*o**2. Let y be z(-5). What is t in 3*t + 5 + t**4 + 4*t**4 - 3 - 3*t**3 - y*t**2 = 0?
-1, -2/5, 1
Let u(c) = c**2 + c. Let g(t) = -4*t**2 - 6*t - 2. Let r(b) = g(b) + 3*u(b). Factor r(p).
-(p + 1)*(p + 2)
Let i(t) = t - 6. Let x be i(8). Factor -6*g**x + 2*g + 0*g**4 + 2*g**4 - 2*g - 4*g.
2*g*(g - 2)*(g + 1)**2
Let i = -5 + 8. Solve -29*h**3 + 11*h**3 + i*h**2 + 14*h**4 + h**2 = 0 for h.
0, 2/7, 1
Suppose -o = -1 - 2. Factor w**2 + 5*w**o - w**4 + 0*w**3 - w**5 - 4*w**3.
-w**2*(w - 1)*(w + 1)**2
Factor 3/4*t**2 - 3/4 + 0*t.
3*(t - 1)*(t + 1)/4
Let b(p) = 2*p**4 + 2*p**3 + 14*p**2 - 6. Let q(w) = w**4 + w**3 + 13*w**2 - 5. Let z(t) = -5*b(t) + 6*q(t). Let z(f) = 0. What is f?
-2, 0, 1
Let c be -2*(-2)/(20/6). Suppose t - 3 - 4 = 5*b, -5*t + b + 11 = 0. Factor 0*l + c*l**t - 2/5*l**3 - 8/5.
-2*(l - 2)**2*(l + 1)/5
Let g(o) be the first derivative of 3*o**5/40 - 3*o**4/8 + o**3/4 + 3*o**2/4 - 9*o/8 - 19. Factor g(u).
3*(u - 3)*(u - 1)**2*(u + 1)/8
Suppose 0 = -2*t + 4*k - 8, 0 = k - 1 - 2. Suppose n = t*n - 3. Factor -2/3*z**2 + 2/3*z**4 + 2/3*z - 2/3*z**n + 0.
2*z*(z - 1)**2*(z + 1)/3
Let x(m) be the third derivative of -m**6/540 - 2*m**5/45 - 11*m**4/108 - 5*m**2. Find y, given that x(y) = 0.
-11, -1, 0
Factor d**2 + 3*d**2 + 41*d + d**2 + 320 + 39*d.
5*(d + 8)**2
Let g = -9 - -8. Let a(z) = -z**4 - z. Let r(l) = -22*l**4 - 84*l**3 - 122*l**2 - 60*l - 8. Let s(h) = g*r(h) + 4*a(h). Let s(c) = 0. What is c?
-2, -1/3
Suppose -b = b + 14. Let d = -3 - b. Determine g, given that -d*g - g**2 + 3*g + 2*g**2 + 0*g = 0.
0, 1
Let t(g) be the first derivative of 8*g**6/3 + 8*g**5 + 25*g**4/4 - 5*g**3/3 - 5*g**2/2 + g + 2. Factor t(k).
(k + 1)**3*(4*k - 1)**2
Let w(i) = -i**2. Let a(g) = -9*g**2 - 6*g. Let h(t) = t + 6*t - 4*t**2 + 14*t**2. Let k(r) = -5*a(r) - 4*h(r). Let f(u) = -k(u) - 6*w(u). Factor f(d).
d*(d - 2)
Let n be ((-6)/4)/(11 + -12). Factor 0 + 1/2*v**3 + n*v**2 + v.
v*(v + 1)*(v + 2)/2
Let u(f) be the second derivative of -f**5/90 + f**3/9 + 2*f**2/9 - 6*f. Solve u(w) = 0.
-1, 2
Suppose 0 = -n - 3*d + 10, 4*n + 0*d + d = 18. Find a such that -13/2*a - 1/2 - 56*a**3 - 30*a**2 - 32*a**n = 0.
-1, -1/4
Suppose -5*k - 2*p + 12 = -22, p = k - 4. Let y be (4/(-6))/(k/(-27)). Factor 4 + x**4 + 2*x - x + 3*x**2 - 4 + y*x**3.
x*(x + 1)**3
Determine x, given that 4*x - 20*x + 11 + 5 + 4*x**2 = 0.
2
Factor 4/5*f**5 + 4*f**3 + 16/5*f**4 + 0 + 0*f + 8/5*f**2.
4*f**2*(f + 1)**2*(f + 2)/5
Suppose 5 + 3 = -4*o. Let j be 0*(-4 + (-6)/o). Let -2 - q**2 - 4*q + 7*q + j*q**2 + 0*q**2 = 0. What is q?
1, 2
Let t(f) be the second derivative of f**5/5 + f**4 + 2*f**3 + 2*f**2 - 2*f. Factor t(a).
4*(a + 1)**3
Suppose -r + 6 = -4*r. Let g be -1 - (-3 - r*1). Let -4*w + 3*w + g*w**2 - w**2 = 0. What is w?
-1, 0
Let t(c) be the second derivative of c**4/60 - c**3/10 + c**2/5 - c + 7. Determine d so that t(d) = 0.
1, 2
Solve 6*j**2 + 97 - 81 + j**2 - 3*j**2 + 16*j = 0 for j.
-2
Let w(i) be the second derivative of -1/4*i**3 + 0 + 1/8*i**4 + 6*i + 0*i**2. Factor w(c).
3*c*(c - 1)/2
Let u(s) be the second derivative of s**6/6 + 3*s**5/4 - 10*s**3/3 + 12*s. Factor u(p).
5*p*(p - 1)*(p + 2)**2
Let r = 23 + -19. Suppose 2*p = r*i - 0*i + 4, 0 = -5*i - p + 2. Factor -1/3*s**5 + 1/3*s + i + 0*s**3 - 2/3*s**2 + 2/3*s**4.
-s*(s - 1)**3*(s + 1)/3
Let w(c) be the second derivative of -c**7/630 - c**6/180 + c**4/36 + c**3/18 - c**2/2 - 3*c. Let k(r) be the first derivative of w(r). Factor k(l).
-(l - 1)*(l + 1)**3/3
Let n(i) be the third derivative of -i**11/1330560 + i**9/120960 - i**7/20160 - i**5/15 - 2*i**2. Let w(a) be the third derivative of n(a). Factor w(d).
-d*(d - 1)**2*(d + 1)**2/4
Determine b, given that -3/2*b**2 + 6 + 9/2*b = 0.
-1, 4
Let v(w) be the second derivative of -1/70*w**5 + 0 + 3/7*w**2 - 1/14*w**4 + 10*w + 1/21*w**3. Find l, given that v(l) = 0.
-3, -1, 1
Factor 3/5*j**3 + 0 + 1/5*j**2 + 3/5*j**4 + 1/5*j**5 + 0*j.
j**2*(j + 1)**3/5
Let y = 19 - 17. Find i, given that i**y + 7*i + 3 + 3*i**2 - 2*i**2 = 0.
-3, -1/2
Let d be ((-1)/((-5)/(-2)))/(-1). Let o(a) be the first derivative of 0*a - 2 - a**2 + 2/3*a**3 + 1/2*a**4 - d*a**5. Factor o(g).
-2*g*(g - 1)**2*(g + 1)
Let t be (-4)/(-1)*12/16. Solve 1/4*l**t + 0*l**2 - 1/4*l**4 + 0 + 0*l = 0.
0, 1
Let w(p) be the second derivative of 2*p + 0*p**4 + 0*p**2 + 0*p**3 + 0 + 3/40*p**5 + 1/20*p**6. Determine b so that w(b) = 0.
-1, 0
Suppose -2*r - 1 = -7. Let n = 2 + r. Factor 4*v + 0*v + 0*v**5 + 2*v**2 + 2*v**4 - 2*v**n + 6*v**3 - 12*v**2.
-2*v*(v - 1)**3*(v + 2)
Solve 4*m**2 + 8*m**3 - m**3 + m - 2*m**3 + 2*m**4 = 0 for m.
-1, -1/2, 0
Suppose 3*s + 2*t = 16 - 2, -5 = -5*t. Let 5*k**s - 2 + 6*k - 4*k**3 - 4*k**5 - 4*k**2 + 4*k**4 + 2*k**5 - 3*k**4 = 0. Calculate k.
-1, 1
Suppose 2*h = 4*h - 4*l - 24, 4*h + 3*l - 48 = 0. Let v = h - 10. Suppose 4/7*j + 0 + 2/7*j**v - 6/7*j**3 = 0. What is j?
-2/3, 0, 1
Factor -4/3*y**2 - 8/3*y - 2/9*y**3 - 16/9.
-2*(y + 2)**3/9
Let m(g) be the second derivative of -3/2*g**2 - 5/12*g**4 - 7/6*g**3 - g - 1/20*g**5 + 0. Determine d so that m(d) = 0.
-3, -1
Let s(q) be the second derivative of -q**4/78 + 4*q**3/13 - 36*q**2/13 - q - 7. Suppose s(j) = 0. What is j?
6
Let x(n) be the second derivative of n**6/180 - n**5/20 + n**4/6 + n**3/2 - 4*n. Let z(j) be the second derivative of x(j). Factor z(v).
2*(v - 2)*(v - 1)
Let t = -10469/35 - -299. Let y = 128/105 - t. Let 0 + 2/3*w**5 + 2/3*w**3 + 0*w**2 - y*w**4 + 0*w = 0. What is w?
0, 1
Let k be 2 - (1 - (-3 - -5)). Factor 3*q**k - 3*q + 0*q**3 + 2*q**2 - 2 - 4*q**3 + 4*q.
-(q - 2)*(q - 1)*(q + 1)
Let k = 2/377 - -744/1885. Determine y, given that 1/5*y**2 - k*y + 0 = 0.
0, 2
Let w be 2/((18/4)/9). Find u, given that -1/4*u**w + 0*u**2 + 1/2*u**3 - 1/2*u + 1/4 = 0.
-1, 1
Let y(j) = -5*j**3 + 2*j**2 + 3*j + 2. Let r(v) = 81*v**3 - 33*v**2 - 48*v - 33. Let d(f) = 2*r(f) + 33*y(f). Factor d(m).
-3*m*(m - 1)*(m + 1)
Let g(n) be the second derivative of -11*n**5/70 - 13*n**4/42 - 2*n**3/21 + 2*n. Determine s so that g(s) = 0.
-1, -2/11, 0
Suppose 9*i = 4*i + 10. Let q(f) be the third derivative of 0*f - f**i + 0*f**3 + 1/120*f**5 + 0 + 0*f**4. Factor q(x).
x**2/2
Suppose -20/7*m**2 - 2/7*m + 4/7 + 16/7*m**4 + 10/7*m**5 - 8/7*m**3 = 0. What is m?
-1, 2/