5 + 5 = -b*l. Find k such that 1/4*k - 1/4*k**3 - 1/2*k**l + 1/2 = 0.
-2, -1, 1
Suppose 0*a - 40 = -4*a. Determine b so that 2*b**4 - 2*b**4 - b**5 + a*b**3 - 8*b**3 - b = 0.
-1, 0, 1
Factor -4/3*p - 2/3*p**3 - 2*p**2 + 0.
-2*p*(p + 1)*(p + 2)/3
Let q(l) = 4*l**2 + 1. Let p be q(-1). Suppose -p*s - 3*x + 1 = -2, -s + 5*x = 5. Find y, given that 0 + s*y**3 + 4/7*y**4 - 2/7*y - 4/7*y**2 + 2/7*y**5 = 0.
-1, 0, 1
Suppose -26 - 30 = -4*p. Let k(l) = -l**2 - 8*l + 4. Let z be k(-8). Let p*j**4 - 8*j**5 - 2*j**2 + 2*j - 2*j - z*j**3 = 0. Calculate j.
-1/4, 0, 1
Let p(u) be the first derivative of 3*u**5/20 + 3*u**4/4 + 3*u**3/4 - 3*u**2/2 - 3*u + 10. Factor p(g).
3*(g - 1)*(g + 1)*(g + 2)**2/4
Factor 0*z**2 - 5*z - 7*z**2 + 2*z**2.
-5*z*(z + 1)
Factor -2 + 15*m + 2*m**2 + 14 + m**2.
3*(m + 1)*(m + 4)
Let u(d) be the third derivative of -1/20*d**6 - 4*d**2 + 4/3*d**3 + 0 + 1/3*d**4 + 0*d - 1/6*d**5. What is q in u(q) = 0?
-2, -2/3, 1
Let m(a) be the first derivative of 1/12*a**4 + 1/15*a**5 + 0*a**2 + 0*a**3 + 3 + 0*a. Find w such that m(w) = 0.
-1, 0
Let h(o) = -9*o - 36. Let s be h(-4). Let x(y) be the third derivative of s*y - 2/3*y**3 + 0 + 4*y**2 + 0*y**5 - 1/4*y**4 + 1/60*y**6. Factor x(a).
2*(a - 2)*(a + 1)**2
Let p be (-1)/((-3)/(-4)) + (-8)/(-4). Let m(s) be the first derivative of 2/3*s - 3 + 2/9*s**3 + p*s**2. Factor m(b).
2*(b + 1)**2/3
Factor 7*t**3 + 24*t**2 + 2*t**4 + 1 - 10*t**3 + 5 - 20*t - 9*t**3.
2*(t - 3)*(t - 1)**3
Let y(c) be the first derivative of -c**7/2100 - c**6/300 - c**5/150 - 2*c**3 - 1. Let d(x) be the third derivative of y(x). Factor d(g).
-2*g*(g + 1)*(g + 2)/5
Let w(g) be the third derivative of -1/40*g**6 + 1/112*g**8 + 0*g**4 - 5*g**2 + 1/20*g**5 + 0 - 1/70*g**7 + 0*g**3 + 0*g. Factor w(c).
3*c**2*(c - 1)**2*(c + 1)
Let v(x) = x**3 + 3*x**2 + x + 1. Let k be v(-2). Suppose 0*q + 2 - 4 + q**2 - q + q**k + 1 = 0. Calculate q.
-1, 1
Let i(q) be the second derivative of q**6/1080 + q**5/90 + q**4/18 + q**3/3 - q. Let r(s) be the second derivative of i(s). Factor r(a).
(a + 2)**2/3
Factor 0 - 1/4*l**2 + 0*l - 1/8*l**3.
-l**2*(l + 2)/8
Let a(j) be the second derivative of -1/20*j**5 + 0*j**2 + 0*j**4 + 0 + 0*j**3 + 1/30*j**6 + 5*j. What is l in a(l) = 0?
0, 1
Suppose 4*t - 3*t = 3*a - 1, 3*t - 5 = 5*a. Factor -10/9*f**4 - 20/9*f**3 - 20/9*f**2 - 2/9 - 2/9*f**t - 10/9*f.
-2*(f + 1)**5/9
Let z(c) be the first derivative of c**3/3 - c**2/2 - 2*c - 39. Factor z(d).
(d - 2)*(d + 1)
Suppose -5*c + f = -2*c + 46, 3*c + 2*f + 43 = 0. Let v = -10 - c. Let -2*q**5 - q + 4*q**5 - q**v + 2*q**4 - 2*q**2 = 0. Calculate q.
-1, 0, 1
Let r(g) be the first derivative of g**6/36 - g**4/24 - 25. Factor r(z).
z**3*(z - 1)*(z + 1)/6
Let f(j) be the second derivative of -j**7/105 + j**5/25 - j**3/15 - 11*j. Factor f(s).
-2*s*(s - 1)**2*(s + 1)**2/5
Let w = 264 - 261. Factor -2/13*b**4 + 0 + 4/13*b + 6/13*b**2 + 0*b**w.
-2*b*(b - 2)*(b + 1)**2/13
Factor 0*i + 0*i**3 + 3/8*i**4 + 0*i**2 - 3/8*i**5 + 0.
-3*i**4*(i - 1)/8
Let l(r) be the first derivative of 3*r**7/140 + 7*r**6/60 + 4*r**5/15 + r**4/3 - r**3 + 4. Let o(p) be the third derivative of l(p). Factor o(h).
2*(h + 1)*(3*h + 2)**2
Let y(o) be the second derivative of -o**7/84 + 7*o**6/180 - o**5/30 + o**3/3 + 2*o. Let d(v) be the second derivative of y(v). Factor d(a).
-2*a*(a - 1)*(5*a - 2)
Let q = 19 - 14. Let z be (-2)/30*(-30)/q. Factor -2/5 - 4/5*d + 0*d**2 + z*d**4 + 4/5*d**3.
2*(d - 1)*(d + 1)**3/5
Let y(l) be the third derivative of l**5/20 - l**3/2 + 16*l**2. Factor y(u).
3*(u - 1)*(u + 1)
Let t be -1 - -15*((-15)/21)/(-5). Suppose -2/7 - 6/7*k**2 - t*k = 0. Calculate k.
-1, -1/3
Let v = -5 + 10. Suppose v*t = r + 20, -t = -0*t + 2*r + 7. Suppose 2*a - 4*a - 2*a**2 + a - a**t = 0. Calculate a.
-1, 0
Let d(n) = -n**2 - 9*n + 4. Let s(z) be the third derivative of -z**5/30 - 5*z**4/12 + 2*z**3/3 - 2*z**2. Let q(v) = -4*d(v) + 3*s(v). Factor q(f).
-2*(f - 2)*(f - 1)
Factor 0*l**4 - 8*l**4 + 18*l**4 - 7*l**4 - 18*l**2 + 12*l - 3*l**3 + 24.
3*(l - 2)**2*(l + 1)*(l + 2)
Let y(k) be the first derivative of -k**7/420 + k**5/60 - k**3 + 1. Let j(z) be the third derivative of y(z). Determine w, given that j(w) = 0.
-1, 0, 1
Solve 61/4*i**2 + 1 + 7*i + 9/4*i**4 + 21/2*i**3 = 0 for i.
-2, -1/3
Suppose -32 = -3*y + n, -3*y - 7*n = -2*n - 2. Suppose -4*a + 6 = l - 7, -3*l - y = 0. Find h, given that -h**5 + a*h - 2*h**4 + 0*h**2 + 2*h**2 - 3*h = 0.
-1, 0, 1
Let c = -3581/4 - -897. Factor -c*j**2 + 0 + 5/4*j**3 + 1/2*j.
j*(j - 1)*(5*j - 2)/4
Let o = -59 - -61. Solve 7*w + 1 + 49/4*w**o = 0.
-2/7
Suppose -s - 1 = -5. Let n(f) be the third derivative of 0*f + 0 + 1/60*f**s + 2/15*f**3 - 1/150*f**5 - f**2. What is q in n(q) = 0?
-1, 2
Let m(b) be the second derivative of b**4/4 - b**3 + 3*b**2/2 + 2*b + 18. Find j, given that m(j) = 0.
1
Let w(n) be the third derivative of 0*n + 1/6*n**4 + 0*n**3 + 0 - 1/30*n**5 + 3*n**2. Factor w(o).
-2*o*(o - 2)
Factor 0*c - 3/4*c**2 + 3/4.
-3*(c - 1)*(c + 1)/4
Let r(j) be the second derivative of j**7/105 - 2*j**6/75 - j**5/25 + 4*j**4/15 - 7*j**3/15 + 2*j**2/5 - 2*j. Factor r(g).
2*(g - 1)**4*(g + 2)/5
Find h such that -2/7*h**4 - 10/7*h**2 + 0 - 12/7*h**3 + 0*h = 0.
-5, -1, 0
Suppose 0 = -4*h + 9*h + 120. Let q be 25/10*h/(-15). Factor 4*d**3 + 6/7*d**5 - 2/7*d + 2/7 - 22/7*d**q - 12/7*d**2.
2*(d - 1)**4*(3*d + 1)/7
Let o(w) be the second derivative of w**4/120 + w**3/60 + 8*w + 2. Factor o(f).
f*(f + 1)/10
Let h be (-3)/(-9)*-3*-2*1. Factor 1/4*k**h + 0 - 1/4*k.
k*(k - 1)/4
Let y(x) be the third derivative of 0*x + 0*x**3 + 4*x**2 + 1/60*x**5 + 1/24*x**4 + 0. Factor y(f).
f*(f + 1)
Let y(k) be the third derivative of 27/8*k**4 + 0*k + 0 + k**2 + 9/20*k**5 + 27/2*k**3 + 1/40*k**6. Factor y(b).
3*(b + 3)**3
Factor -8/7*r - 2/7*r**2 - 6/7.
-2*(r + 1)*(r + 3)/7
Let m(o) = -20*o**3 - 29*o**2 - 9*o - 11. Let v(z) = -7*z**3 - 10*z**2 - 3*z - 4. Let l(h) = 4*m(h) - 11*v(h). Factor l(k).
-3*k*(k + 1)**2
Factor r + 1/4*r**2 + 1.
(r + 2)**2/4
Factor -27/2*v**2 - 9/2 + 3*v**3 + 15*v.
3*(v - 3)*(v - 1)*(2*v - 1)/2
Let v(w) be the second derivative of -w**6/20 - 7*w**5/30 - w**4/6 + 3*w**2/2 - 2*w. Let z(h) be the first derivative of v(h). Determine s so that z(s) = 0.
-2, -1/3, 0
Let c be (1/3)/(-8 + 9). Let h(n) be the second derivative of -2/15*n**6 + 0*n**2 + 0*n**5 + n - c*n**3 + 1/3*n**4 + 1/21*n**7 + 0. Find g, given that h(g) = 0.
-1, 0, 1
Let c = 11/13 + -724/871. Let x = c + 125/603. Factor -2/9*k**5 - 2/9*k + x*k**4 + 4/9*k**3 + 2/9 - 4/9*k**2.
-2*(k - 1)**3*(k + 1)**2/9
Let y be -67 + 64 + 10/2. Factor 0 + 3/5*p**y + 9/5*p.
3*p*(p + 3)/5
Let a(m) be the second derivative of -m**4/42 - 4*m**3/21 - 11*m. Factor a(x).
-2*x*(x + 4)/7
Let b be (-94)/(-90)*3 - 3. Let d(z) be the first derivative of -1 - 2/5*z**2 + b*z**3 + 2/5*z. Factor d(o).
2*(o - 1)**2/5
Suppose 3*s - 3 + 0 = 0. Suppose 5*a + o - 6 = -s, 4*a + o - 5 = 0. What is t in a*t**2 + 0 - 1/2*t + 1/2*t**3 = 0?
-1, 0, 1
Let b(a) be the first derivative of -2*a**3/9 - 4*a**2/3 - 8*a/3 + 13. Factor b(f).
-2*(f + 2)**2/3
Let u(c) be the third derivative of 0*c - 3*c**2 + 0 + 1/72*c**4 - 1/360*c**6 + 0*c**3 + 0*c**5. Factor u(h).
-h*(h - 1)*(h + 1)/3
Let f(x) = -3*x. Let j(g) = g**3 + 10*g**2 - 12*g - 12. Let z be j(-11). Let h be f(z). Factor 2/9*c**h + 0 - 2/9*c**2 + 0*c.
2*c**2*(c - 1)/9
Suppose -2*s - 5*p + 35 = -0, -5*s + 5 = -4*p. Let d(n) = -8*n + 104. Let g be d(13). Factor -1/2*c**s + c**4 + 0*c + 0 - 1/2*c**3 + g*c**2.
-c**3*(c - 1)**2/2
Let a(c) = 2*c**3 + 18*c**2 + 6*c + 2. Let h(s) = -s**3 - s. Suppose 2*x - 1 = 1. Let f(t) = x*a(t) - 6*h(t). Solve f(q) = 0 for q.
-1, -1/4
Let c(g) be the first derivative of -g**3/3 - g**2 - g - 4. Solve c(z) = 0.
-1
Factor 5/2 + 35/4*o**2 + 45/4*o.
5*(o + 1)*(7*o + 2)/4
Let i be 5/(-20) - (-124)/480. Let y(o) be the third derivative of -i*o**5 + 0 + 0*o**4 + 0*o + 0*o**3 + 1/480*o**6 + o**2. Let y(t) = 0. What is t?
0, 2
Let d(g) be the third derivative of -g**6/360 - g**5/180 - 6*g**2. Find v such that d(v) = 0.
-1, 0
Let y(t) be the third derivative of -t**8/560 - t**7/175 + t**6/200 + t**5/50 - 12*t**2 - 2*t. Determine q, given that y(q) = 0.
-2, -1, 0, 1
Let m(n) be the second derivative of n**7/147 - n**5/35 + n**3/21 + 9*n. Factor m(b).
2*b*(b - 1)**2*(