0) + (-2)/3. Let j(l) = -l - 6. Let d be j(-8). Factor -k*f + 0 + 1/5*f**d.
f*(f - 1)/5
Let l(t) be the third derivative of -t**9/1008 + t**8/560 + t**7/140 + 2*t**3/3 - 4*t**2. Let w(n) be the first derivative of l(n). Solve w(k) = 0.
-1, 0, 2
Let p = 6/11 + 4/33. What is b in -2*b**2 + 2*b + p*b**3 - 2/3 = 0?
1
Let u(b) = b**3 - b**2 + 27*b - 11. Let k(h) = h**3 + 2*h**2 + 1. Let v(g) = -4*k(g) + u(g). Factor v(z).
-3*(z - 1)**2*(z + 5)
Suppose 39 + 15 = -3*b. Let f be (-4)/b - (-69)/54. Factor 1/2*p**3 - f*p**2 + 3/2*p - 1/2.
(p - 1)**3/2
Let b(i) = i + 5. Let f be b(-5). Factor f*j**2 + j - j**2 - j.
-j**2
Factor -6/7*n + 9/7 - 3/7*n**2.
-3*(n - 1)*(n + 3)/7
Let z = -3 - -6. Determine l so that -3*l + 2*l**2 - l - 1 + z = 0.
1
Factor -100 + 118 - 3*c**3 - c**2 - 33*c + 23*c**2 - 4*c**2.
-3*(c - 3)*(c - 2)*(c - 1)
What is y in -3/7*y**3 + 0 + 0*y + 6/7*y**2 = 0?
0, 2
What is n in 1/4*n**2 - 5/2*n + 25/4 = 0?
5
Suppose 2*t - 362 = 3*o, -2*t + 244 = -o - o. Let j = 830/3 + o. Determine q so that 0 - j*q**4 + 0*q - 152/3*q**3 - 16/3*q**2 - 490/3*q**5 = 0.
-2/5, -2/7, 0
Let o(c) be the third derivative of -c**6/540 + c**4/108 + 5*c**2. Solve o(k) = 0 for k.
-1, 0, 1
Let 3*w**2 + 2*w**2 - w - 10 - 3*w - w = 0. What is w?
-1, 2
Suppose -4 = 12*v - 11*v. Let d be 4 + (v - (-10)/35). Factor d*l**3 + 10/7*l - 8/7*l**2 - 4/7.
2*(l - 2)*(l - 1)**2/7
Suppose 5*l + 8*d = 3*d, 2*l = -3*d - 5. Let c(i) be the first derivative of -3/2*i**2 + 3/5*i**l - 1/2*i**6 - 2*i**3 - 1 + 3/2*i**4 + 3*i. Factor c(p).
-3*(p - 1)**3*(p + 1)**2
Let g(o) = 2*o**4 + 7*o**3 - 6*o**2 - o + 1. Let w(h) = 3*h**4 + 8*h**3 - 7*h**2. Let q(a) = 4*g(a) - 3*w(a). Factor q(m).
-(m - 2)**2*(m - 1)*(m + 1)
Let m be (-6 - -2)*(-5)/4. Let 3*b**3 - m*b**3 + 4*b + b**4 - 2*b - 1 = 0. What is b?
-1, 1
Suppose 3*h**3 + 1 + 11*h - 4 + 3*h**2 - 14*h = 0. Calculate h.
-1, 1
Let a(m) = -m**2 + 7*m + 3. Let r be a(7). Solve 2*b**r + 8 + 4*b**2 + 4*b**3 - 8 - 10*b**4 = 0 for b.
-2/5, 0, 1
Let k = -98/3 - -502/15. Factor 4/5*d**2 - 4/5*d**3 + k*d - 4/5.
-4*(d - 1)**2*(d + 1)/5
Factor 4*k**2 - k**3 - 4 + 2*k + k**3 - k**3 - k**3.
-2*(k - 2)*(k - 1)*(k + 1)
Let -5/11*l - 1/11*l**2 - 4/11 = 0. What is l?
-4, -1
Suppose -20*u**2 + 62*u**3 - 8*u**4 - 132*u**2 - 32*u + 40*u**2 = 0. What is u?
-1/4, 0, 4
Let s(k) be the third derivative of k**8/20160 - k**7/5040 - k**6/360 + k**5/60 - 2*k**2. Let q(p) be the third derivative of s(p). Factor q(z).
(z - 2)*(z + 1)
Let s(g) = -5*g**2 + 8*g - 4. Let f(o) = 6*o**2 - 9*o + 4. Suppose -i - 4*i = -20. Let p(j) = i*f(j) + 5*s(j). Factor p(l).
-(l - 2)**2
Let f(i) be the second derivative of 1/18*i**4 - 2*i - 1/180*i**5 + 3/2*i**2 + 0 - 1/6*i**3. Let x(z) be the first derivative of f(z). Factor x(v).
-(v - 3)*(v - 1)/3
Let v(b) be the second derivative of b**4/3 + 14*b**3/3 - 16*b**2 + 39*b. Factor v(g).
4*(g - 1)*(g + 8)
Let b(l) be the first derivative of -7 - 4/3*l**3 + 0*l**2 - l**4 + 0*l. Factor b(z).
-4*z**2*(z + 1)
Let j = 61/134 - -3/67. What is p in 5/4*p**2 - 5/4*p - 3/4*p**4 + 5/4*p**3 - j = 0?
-1, -1/3, 1, 2
Let m be (-2)/4 + -10 + 2416/224. Suppose -2/7 + m*i**2 - 2/7*i + 2/7*i**3 = 0. Calculate i.
-1, 1
Factor 3/2*n**2 - 1/4*n**4 + 1/4*n**3 - 2 - n.
-(n - 2)**2*(n + 1)*(n + 2)/4
Let c = 672 - 100799/150. Let b(w) be the third derivative of 1/15*w**3 - c*w**5 + 1/300*w**6 - 1/60*w**4 + 0 + 0*w + w**2. Solve b(h) = 0 for h.
-1, 1
Let i(v) be the second derivative of 2*v**6/15 + v**5/5 - v**4 - 10*v**3/3 - 4*v**2 - 4*v. Find j such that i(j) = 0.
-1, 2
Let d(p) be the second derivative of p**5/90 - p**4/18 + p**3/9 + 5*p**2/2 + 5*p. Let l(c) be the first derivative of d(c). Factor l(z).
2*(z - 1)**2/3
Factor 4*b**5 + 6*b**5 - b**3 - 9*b**5 + b**2 + 3*b**4 + 4*b**3.
b**2*(b + 1)**3
Let t(v) be the third derivative of -v**7/10 - 19*v**6/40 - 2*v**5/5 + v**4/2 + 16*v**2. Factor t(c).
-3*c*(c + 1)*(c + 2)*(7*c - 2)
Let p(v) be the third derivative of -v**6/156 - v**5/130 + v**4/78 - 32*v**2. Factor p(i).
-2*i*(i + 1)*(5*i - 2)/13
Let b(m) = 2*m + 2. Let p be b(-1). Let s(o) be the first derivative of 1/3*o**3 - o**2 + p*o + 2 + 3/4*o**4. Let s(g) = 0. Calculate g.
-1, 0, 2/3
Let z = -42 + 42. Let v(s) be the first derivative of 0*s**2 + 1/20*s**4 + z*s**3 - 1 + 0*s. Find f such that v(f) = 0.
0
Let z(k) be the first derivative of k**4/4 + 7*k**3 + 147*k**2/2 + 343*k + 2. Factor z(h).
(h + 7)**3
Suppose 7 = -5*j + 22. Let d = -5 + 5. Determine v so that 3/4*v**j - 3/4*v**2 + 0*v + d = 0.
0, 1
Let g(y) = 2*y**3 + y**2 - 8*y. Let q = 4 - 9. Let x = 0 - q. Let w(j) = -j**3 - 2*j**2 + 7*j. Let r(l) = x*w(l) + 4*g(l). Factor r(b).
3*b*(b - 1)**2
Let a(b) = 4*b - b**4 + 4*b**3 + 0*b**5 + 5*b**5 - 4 - 5*b**2 + b**2. Let q(d) = -d**5 - d**3 + d**2 - d + 1. Let z(l) = -a(l) - 4*q(l). Factor z(k).
-k**4*(k - 1)
Let p(y) = y**2 - 3*y - 7. Let r be p(4). Let m = r + 3. Find a, given that -6/7*a**3 + 2/7*a**5 + m + 10/7*a**2 - 2/7*a**4 - 4/7*a = 0.
-2, 0, 1
Let r(g) be the first derivative of g**3/9 - g**2/2 + 14. Factor r(t).
t*(t - 3)/3
Factor -1/5*x**4 - 1/5*x + 0 + 1/5*x**3 + 1/5*x**2.
-x*(x - 1)**2*(x + 1)/5
What is d in 0*d**3 + 4*d**2 - 8*d**2 - 3*d**3 = 0?
-4/3, 0
Let b = 144 - 714/5. Factor 3/5*l**2 + 0 + b*l.
3*l*(l + 2)/5
Suppose 5*v = c + 14, 2*v + c - 6 = -3*v. Determine f so that 6*f**2 - 4*f + v*f**3 - 3 - 2*f - 2*f**4 - 1 + 4*f = 0.
-1, 1, 2
Suppose -1/4*i + 0 + i**4 + i**2 - 3/2*i**3 - 1/4*i**5 = 0. What is i?
0, 1
Let f(q) be the first derivative of q**6/6 - 4*q**5/5 + 3*q**4/4 + 4*q**3/3 - 2*q**2 + 15. Factor f(j).
j*(j - 2)**2*(j - 1)*(j + 1)
Let l = 13 - 8. Factor -4*a**4 + 11*a**4 + 6*a**3 + l*a**5 - 4*a**3.
a**3*(a + 1)*(5*a + 2)
Let i be 4 - 1 - (1 + 0). Let c be (-18)/12*24/27*-3. Factor -a**2 + a + c*a**i - a**2.
a*(2*a + 1)
Factor 0*c - 1/7*c**2 + 0 + 3/7*c**3 + 1/7*c**5 - 3/7*c**4.
c**2*(c - 1)**3/7
Factor 3*d**3 + 2*d**2 - 8*d**2 - 6*d**3.
-3*d**2*(d + 2)
Find b such that 0 - 3/4*b**5 + 0*b**2 + 1/2*b**4 + 0*b + 1/4*b**3 = 0.
-1/3, 0, 1
Let g = -25/14 + 16/7. What is h in 0 - g*h**3 - h**2 + 0*h = 0?
-2, 0
Let h(d) = d**3 - 5*d**2 + 6*d - 5. Let n be h(4). Find m such that -46*m**2 - 2*m - 2 + 6 + 32*m**2 + 12*m**n = 0.
-1/2, 2/3, 1
Let z be (22/(-44))/((-5)/4*2). Suppose -3*g = 5*w - 19, -3*g - 1 = -2*w - 6. Factor 0*a + 0 - 3/5*a**4 + 1/5*a**5 + 3/5*a**g - z*a**2.
a**2*(a - 1)**3/5
Let l(r) = -22*r + 288. Let p be l(13). Solve 15/4*d**5 + 0*d + 0*d**p + 3/2*d**3 - 21/4*d**4 + 0 = 0 for d.
0, 2/5, 1
Let r(l) be the first derivative of l**5/2 + 13*l**4/8 + 2*l**3/3 - l**2 - 3. Suppose r(u) = 0. Calculate u.
-2, -1, 0, 2/5
Let d(f) be the second derivative of -3*f**5/80 - 5*f**4/48 - f**3/12 + 3*f. Factor d(p).
-p*(p + 1)*(3*p + 2)/4
Let q = 3 + -1. Let u be (1/4)/((-212)/12 + 18). Factor -1/2 + u*h - 1/4*h**q.
-(h - 2)*(h - 1)/4
Let f(v) be the third derivative of v**7/1260 + v**6/360 + v**4/12 + 2*v**2. Let i(p) be the second derivative of f(p). Solve i(c) = 0 for c.
-1, 0
Suppose 0 = 4*a + a - 25. Let j(o) be the second derivative of -1/15*o**6 + 5/3*o**3 + 0 + 2*o + 2*o**2 - 1/10*o**a + 1/2*o**4. Solve j(y) = 0 for y.
-1, 2
Let b(p) be the first derivative of 1/96*p**4 - 1/120*p**5 - 1/2*p**2 + 0*p**3 + 1/480*p**6 - 2 + 0*p. Let c(a) be the second derivative of b(a). Factor c(w).
w*(w - 1)**2/4
Let k(b) be the second derivative of 2/3*b**2 + 0 + 1/3*b**3 + 1/18*b**4 - 5*b. Determine p, given that k(p) = 0.
-2, -1
Let u(b) = -3*b**2 - 7*b + 15. Let i(g) = 3*g**2 + 6*g - 15. Let d(o) = -5*i(o) - 6*u(o). Factor d(l).
3*(l - 1)*(l + 5)
Solve 9*t - 4*t**2 + 5*t + 2*t = 0 for t.
0, 4
Factor 4/7*i**4 - 32/7*i - 4/7*i**5 + 20/7*i**3 - 4/7*i**2 - 16/7.
-4*(i - 2)**2*(i + 1)**3/7
Let p(b) be the first derivative of 3*b**4/4 - b**3 - 6*b**2 + 12*b + 3. Determine r so that p(r) = 0.
-2, 1, 2
Let t(n) = -5*n**2 + 2*n. Let p(q) = 4*q**2 - 2*q. Let j(c) = -3*p(c) - 2*t(c). Factor j(h).
-2*h*(h - 1)
Let y(h) be the third derivative of h**9/272160 + h**8/90720 - h**7/11340 - h**5/15 - 5*h**2. Let f(u) be the third derivative of y(u). Let f(z) = 0. What is z?
-2, 0, 1
Let f(p) be the second derivative of -p**4/102 - 4*p**3/51 + 12*p. Factor f(i).
-2*i*(i + 4)/17
Let r = -27955/24 + 1165. Let a(l) be the second derivative of -1/8*l**2 + 0 + r*l**3 - 3/16