-4*n + 3. Let a be y(-8). Let -18*k**2 - 21*k + 42*k**4 + 6 + 21*k**3 - 5*k**3 + a*k**3 = 0. Calculate k.
-1, 2/7, 1/2
Let t be (1 + (-2 - -9))/((-160)/(-16)). Factor -t*m + 0 - 2/5*m**2.
-2*m*(m + 2)/5
Suppose -9*b = -8*b - 3. Factor 1/4*m**4 + 0*m**2 - 1/4*m**b + 0 + 0*m.
m**3*(m - 1)/4
Let o(g) = -g**4 + g**3 + g**2 + g - 1. Let l(u) = -4*u**3 - 4*u + 4. Let j(q) = l(q) + 4*o(q). Determine a, given that j(a) = 0.
-1, 0, 1
Suppose 1/8*d**5 - 23/4*d**2 - 9/8*d**4 + 15/4*d**3 + 33/8*d - 9/8 = 0. What is d?
1, 3
Suppose 5*j - 4*j = 21. Suppose 3*n = 3*b + j, 5*n + 2*b - 20 = 4*b. Factor x**n - x**3 + 0*x**2 - x - x**4 + 2*x.
-x*(x - 1)*(x + 1)**2
Let x = 262/581 + 10/83. Let f be 1 - (3 + 104/(-28))/(-1). Factor -2/7*k**5 + 0*k**3 + 0 + f*k - 4/7*k**2 + x*k**4.
-2*k*(k - 1)**3*(k + 1)/7
Suppose 5*y - 2*c + 6*c = 15, -5*c = 0. Let i(a) be the first derivative of 0*a - 2/9*a**y - 1/3*a**2 - 3. Find g such that i(g) = 0.
-1, 0
Factor -q**2 - 2*q**2 + 3 + 5*q - 5*q.
-3*(q - 1)*(q + 1)
Find n, given that 3*n**5 - 3*n**3 - 5 + 3*n**2 + 5 - 3*n**4 = 0.
-1, 0, 1
Factor 4*s**2 - 2*s - 16 - 2*s + 4*s.
4*(s - 2)*(s + 2)
Let p(q) be the second derivative of q**5/10 + 11*q**4/6 + 8*q**3 - 36*q**2 - 36*q. Find l such that p(l) = 0.
-6, 1
Let g(y) be the first derivative of y**6/3 - 2*y**5/5 - y**4/2 + 2*y**3/3 - 13. Factor g(w).
2*w**2*(w - 1)**2*(w + 1)
Let m(u) be the second derivative of -u**6/300 - u**5/150 + u**4/30 - 9*u**2/2 + 2*u. Let h(z) be the first derivative of m(z). Factor h(r).
-2*r*(r - 1)*(r + 2)/5
Let k be (5 - 2)/(6 - 5). Let v(x) be the second derivative of 0 + 1/12*x**4 + x + 0*x**k + 1/30*x**6 + 0*x**2 + 1/10*x**5. Factor v(i).
i**2*(i + 1)**2
Let w(n) be the first derivative of -3*n**4/4 + 11. Let w(h) = 0. Calculate h.
0
Suppose 6/13*k + 0 + 2/13*k**2 = 0. Calculate k.
-3, 0
Let q(k) = -4*k**2 + 64*k + 16. Let x(j) = -j**2 + 21*j + 5. Let f(g) = 5*q(g) - 16*x(g). What is l in f(l) = 0?
-4, 0
Suppose -3*l**2 + 11*l**2 + 12 - 15*l - 5*l**2 = 0. Calculate l.
1, 4
Let 11*w - 5 - 12*w - w**2 - 4*w**2 + 11*w = 0. Calculate w.
1
Let c(d) = 3*d**2 - 3*d. Let y be c(2). Suppose y*p = 2*p + 8. Factor 0*k - 1/2 + 1/2*k**p.
(k - 1)*(k + 1)/2
Let x(k) be the first derivative of -2*k**5/5 + 4*k**4 - 14*k**3/3 - 27. Find h such that x(h) = 0.
0, 1, 7
Let -4/3*s + 0 + 2*s**4 - 2/3*s**2 + 8/3*s**3 = 0. Calculate s.
-1, 0, 2/3
Let o = -8 + 11. Suppose 2*b - 22 + 12 = 0. Suppose 1 + 5*d - b*d**2 + 3*d - 5 + 0*d**o + d**3 = 0. What is d?
1, 2
Let v = 1225/2 + -624. Let n = v + 12. Solve -1/2*y**5 - n*y + y**2 + y**3 - 1/2 - 1/2*y**4 = 0.
-1, 1
Suppose a = -d + 3*a + 4, 4*d + 3*a + 6 = 0. Let f(l) be the second derivative of 1/54*l**4 + 0*l**2 + d + 0*l**3 + 3*l. What is m in f(m) = 0?
0
Suppose -4/19 - 14/19*p**2 + 18/19*p**4 - 22/19*p**3 + 22/19*p = 0. What is p?
-1, 2/9, 1
Suppose 2*q + 8 + 4 = 0. Let s = -3 - q. Solve 2/7*n**4 + 0 + 0*n + 0*n**2 + 0*n**s = 0.
0
Find t such that -t + t**3 + t**2 - t**4 + 0*t**4 + 0*t**4 = 0.
-1, 0, 1
Let k(g) = g**2 - 6*g. Let f be k(6). Suppose f = 7*t - 2*t. Factor 2/3*n - n**2 + t.
-n*(3*n - 2)/3
Suppose -11*a - 20 = -42. What is o in 0*o + 0 - 27/4*o**3 + 3/2*o**a - 15/4*o**5 + 9*o**4 = 0?
0, 2/5, 1
Suppose -k + 4*b + 19 = 7, 5*k - b - 22 = 0. Let y be ((-140)/72 - -2)*4. Factor 0 + y*o**2 - 4/9*o + 4/9*o**3 - 2/9*o**k.
-2*o*(o - 2)*(o - 1)*(o + 1)/9
Let o(f) be the second derivative of f**4/3 - 8*f**3/3 + 8*f**2 + 13*f. Let o(u) = 0. What is u?
2
Let g(n) be the first derivative of n**4 - 4*n**3 - 2*n**2 + 12*n + 64. Factor g(p).
4*(p - 3)*(p - 1)*(p + 1)
Let h(w) = 18*w**2 - 5*w. Let o(p) = -37*p**2 + 11*p. Let s(d) = -13*h(d) - 6*o(d). Factor s(c).
-c*(12*c + 1)
Let n(c) = c**3 + 9*c**2 + 4*c - 28. Let b be n(-8). Factor 1/5*w**3 + 0*w**2 + 0*w + 1/5*w**b + 0.
w**3*(w + 1)/5
Let k(v) be the second derivative of -v**4/72 + v**2/12 - 6*v. Factor k(g).
-(g - 1)*(g + 1)/6
Let i(r) be the second derivative of -r**7/3360 - r**6/480 + r**4/24 - r**3/3 - 3*r. Let j(c) be the second derivative of i(c). Factor j(n).
-(n - 1)*(n + 2)**2/4
Let v(d) = -2*d**2 + d - 2. Let y be v(-2). Let j be (0/2)/(y + 17). Factor j + 2/3*p**3 + 2/3*p - 4/3*p**2.
2*p*(p - 1)**2/3
Suppose g + 3 + 8 = 4*p, 0 = -g + 1. Let 10/3*m + 26/3*m**2 - 2/3*m**p - 22/3*m**4 - 8/3*m**5 - 4/3 = 0. Calculate m.
-2, -1, 1/4, 1
Let f(w) be the third derivative of 2*w**2 - 43/480*w**6 + 0*w + 23/120*w**5 + 1/70*w**7 + 0 - 17/96*w**4 + 1/12*w**3. Suppose f(z) = 0. Calculate z.
1/4, 1/3, 1, 2
Suppose -g + 6*g - 20 = 0. Let a be 18/(-6) - -1*5. Factor -1/2*w + 3/4*w**g + w**3 + 0 - 1/4*w**a.
w*(w + 1)**2*(3*w - 2)/4
Let g = -5 - -8. Factor 3 + 5 - 63*u**3 - 42*u**g + 4 - 117*u**2.
-3*(u + 1)*(5*u + 2)*(7*u - 2)
Suppose 2/15*l**3 - 2/15*l - 2/15 + 2/15*l**2 = 0. What is l?
-1, 1
Factor 2/3*y + 0 - 2/3*y**4 - 2*y**2 + 2*y**3.
-2*y*(y - 1)**3/3
Let p(x) = x**5 + x**4 + x**3 + x. Let t(r) = 7*r**5 + 12*r**4 + 4*r**3 + 8*r. Let w(f) = -40*p(f) + 5*t(f). Suppose w(y) = 0. What is y?
0, 2
Let f(h) be the third derivative of -h**9/60480 - h**8/13440 + h**6/1440 + h**5/480 - h**4/12 - 2*h**2. Let s(i) be the second derivative of f(i). Factor s(y).
-(y - 1)*(y + 1)**3/4
Let o(m) be the second derivative of -m**4/3 + 8*m**2 - 10*m. Factor o(y).
-4*(y - 2)*(y + 2)
Let w(s) be the second derivative of 0*s**2 - 3*s - 1/4*s**4 + 0 - 1/10*s**6 - 3/10*s**5 + 0*s**3. Solve w(i) = 0 for i.
-1, 0
Let q(w) be the third derivative of -2*w**7/735 + w**6/70 - w**5/35 + w**4/42 + 3*w**2. Factor q(m).
-4*m*(m - 1)**3/7
Suppose 5*w = 7*w + 4*w. Let c(m) be the third derivative of 2*m**2 + 0*m + 0*m**4 + w*m**3 + 1/150*m**5 + 0. Factor c(i).
2*i**2/5
Let w(p) be the third derivative of 0 + p**2 - 1/72*p**4 + 0*p**5 + 1/360*p**6 + 0*p**3 + 0*p. Factor w(h).
h*(h - 1)*(h + 1)/3
Let t(v) be the first derivative of -v**4/2 + 6*v**3 - 24*v**2 + 32*v + 21. Determine l, given that t(l) = 0.
1, 4
Let h(m) = m**3 + 4*m**2 - 2*m. Let w be h(-4). Factor 0 + 5 + 3 - 6*u**2 + 4*u**3 + 2*u**4 - w*u + 0*u.
2*(u - 1)**2*(u + 2)**2
Let a(p) be the second derivative of 3*p**5/40 - p**3/4 + 4*p. Suppose a(v) = 0. What is v?
-1, 0, 1
Factor 0 + 32/15*s**2 - 16/15*s**3 + 0*s + 2/15*s**4.
2*s**2*(s - 4)**2/15
Let p = 307/2 + -153. Factor -1/2*j**5 - p*j**3 + 0 + 0*j**2 + 0*j - j**4.
-j**3*(j + 1)**2/2
Let s be 231/352 - 3/4. Let y = s - -27/32. Factor 3/4*w - y*w**2 + 1/4*w**3 - 1/4.
(w - 1)**3/4
Let l(t) be the first derivative of 2*t**5/25 + 2*t**4/5 - 4*t**3/15 - 12*t**2/5 + 18*t/5 - 6. Factor l(c).
2*(c - 1)**2*(c + 3)**2/5
Let l be -1*1/(-9) - 65/(-63). Factor 0*b**3 + 6/7*b**4 - 2/7*b**5 + 0*b + 0 - l*b**2.
-2*b**2*(b - 2)**2*(b + 1)/7
Suppose -12*t + 12 = -6*t. Find q, given that -1 - 1/2*q + 1/2*q**t = 0.
-1, 2
Let o(j) be the second derivative of -j**6/75 + j**5/25 + j**4/30 - 2*j**3/15 - 16*j. Let o(v) = 0. Calculate v.
-1, 0, 1, 2
Let w(n) be the second derivative of -n**5/360 - n**4/36 - n**3/9 + 3*n**2 + 6*n. Let z(y) be the first derivative of w(y). Find s such that z(s) = 0.
-2
Let b(j) be the first derivative of j**4/2 + 8*j**3/3 + 4*j**2 - 2. Factor b(v).
2*v*(v + 2)**2
Let v(s) be the first derivative of -s**4/20 + 7*s**3/15 - 11*s**2/10 + s + 4. Let v(t) = 0. Calculate t.
1, 5
Suppose 21 = 3*t - 3. Suppose -2*w + t = -2*x, 2*w + 2*x = -2*w + 10. Solve w*s**5 - 4*s + 4*s + s**3 - 2*s**5 - 2*s**4 = 0 for s.
0, 1
Suppose -3*y = 2*x + 15, 2*y + 2*x + 2*x = -2. Let a be y/(-8)*6/21. Factor -1/4 + 1/2*m - a*m**2.
-(m - 1)**2/4
Let d be (9/6)/(6/8). Factor -d*l - l**2 - 4*l**2 + 3*l**2.
-2*l*(l + 1)
Factor 3*o**3 - 3*o + 116 - 116.
3*o*(o - 1)*(o + 1)
Suppose 14 = 4*m + 2*c, -5*m = 5*c - 4*c - 13. Factor 4*h**3 - 2 - 2/3*h**4 - 8*h**m + 20/3*h.
-2*(h - 3)*(h - 1)**3/3
Determine r, given that 0*r - 3/4*r**3 + 0 + 9/8*r**2 - 3/8*r**4 = 0.
-3, 0, 1
Let k(g) be the first derivative of -g**3/3 - g**2/2 + 2*g + 4. Solve k(p) = 0 for p.
-2, 1
Determine g, given that 0*g**4 - 5*g - 4*g**2 + 2 + 4*g**3 + 17*g**2 - 11*g**2 + g**5 - 4*g**4 = 0.
-1, 1, 2
Suppose -3*q = -4*n + 3, -n + q = 5*q - 15. Factor -w + 2*w**2 + 3 - 2 - n*w + 1.
2*(w - 1)**2
Let v(z) = -20*z**5 + 20*z**4 - 8*z**3 - 6*z**2 + 14*z. Let i(p) = 7*p**5 - 7*p**4 + 3*p**3 + 2*p**2 - 5*p. Let x(r) = -14*i(r) - 5*v(r). Factor x(c).
2*c**2*(c 