0*x**m + 0. Factor j(p).
-p*(p - 2)/4
Let c = 127/540 + 2/135. Factor 1/2*l + c*l**4 - 1/4*l**2 + 0 - 1/2*l**3.
l*(l - 2)*(l - 1)*(l + 1)/4
Let 6/7 + 4/7*o**2 - 2*o = 0. What is o?
1/2, 3
Let c(b) = -b**2 + b + 1. Let o(p) be the second derivative of p**4/2 - 5*p**3/2 + 9*p**2/2 + 2*p. Let x(a) = 3*c(a) + o(a). What is y in x(y) = 0?
2
Let s be 2/10*2*5. Let c(y) = y**4 - y**3 - y**2 + y. Let k(b) = -7*b**4 + 14*b**3 - 7*b**2. Let i(m) = s*c(m) + k(m). Solve i(a) = 0.
0, 2/5, 1
Let w(q) = 2*q**2 + 3*q + 3. Let m be w(-2). Let v(u) = m*u + 8*u - 14*u**2 - u - 12. Let g(c) = c**2 - c + 1. Let h(i) = 12*g(i) + v(i). What is z in h(z) = 0?
0
Let k(u) be the second derivative of -u**6/60 + u**5/5 - u**4 + 8*u**3/3 + u**2/2 - 5*u. Let r(j) be the first derivative of k(j). Factor r(t).
-2*(t - 2)**3
Let f(i) = -i**5 - 3*i**4. Let o(d) be the first derivative of d**5/5 - 4. Let v(b) = -f(b) - 2*o(b). Solve v(m) = 0 for m.
-1, 0
Let p(a) be the second derivative of a**4/126 - a**2/21 + 19*a. Factor p(m).
2*(m - 1)*(m + 1)/21
Let l(v) = -5*v**2 + 2*v - 4. Let m be l(-3). Let b be m/(-22)*(-8)/(-25). Factor -2/5 - 2/5*w**2 + b*w.
-2*(w - 1)**2/5
Let o(u) be the second derivative of u**4/12 - 3*u**3/2 + 11*u**2/2 + u. Let w be o(8). Find x, given that -3*x**2 + x + w + 0 - 4*x + 3 = 0.
-2, 1
Let s = -7 + 14. Factor 5*j**2 + 2*j - 12*j**3 + 3*j**2 + s*j**4 - 5*j**2.
j*(j - 1)**2*(7*j + 2)
Let g = 597 - 592. Factor 0*t + 9/5*t**4 + 0*t**2 - 6/5*t**3 + 0 + 3*t**g.
3*t**3*(t + 1)*(5*t - 2)/5
Suppose -z - 2*g + 2 = 0, 2*z + 2 - 4 = -5*g. Let l(m) = -m**2 + 6*m + 3. Let f be l(z). Factor -3*n**2 - 5*n - f*n**2 + 5*n**3 + 2 - 3*n**2 + 7*n**4.
(n - 1)*(n + 1)**2*(7*n - 2)
Determine x, given that -3/4 + 1/4*x**2 - 1/2*x = 0.
-1, 3
Suppose -5*b + 10*b = 15. Factor 4 - 2 + 10*n**2 + 2 - b*n - 11*n.
2*(n - 1)*(5*n - 2)
Let p(c) = c**3 + 2*c**2 - 2*c + 1. Let s be p(1). Factor 2*m**2 + 9*m**3 + 2*m - m**s - m**4 - 11*m**3.
-m*(m - 1)*(m + 1)*(m + 2)
Suppose 4/9 + 6*w**2 + 46/9*w**3 + 14/9*w**4 + 26/9*w = 0. Calculate w.
-1, -2/7
Let a(l) be the third derivative of 2*l**7/105 + 2*l**6/5 + 46*l**5/15 + 10*l**4 + 50*l**3/3 - 45*l**2. Factor a(t).
4*(t + 1)**2*(t + 5)**2
Let t(n) be the third derivative of 0 - 1/210*n**5 + 0*n - 1/35*n**6 + 1/147*n**7 - 4/21*n**3 + 1/7*n**4 - 2*n**2. Find l, given that t(l) = 0.
-1, 2/5, 1, 2
Let x(t) be the second derivative of 0 + 1/5*t**3 + 1/6*t**4 - 2/5*t**2 + t. Factor x(z).
2*(z + 1)*(5*z - 2)/5
Let f(i) = -7*i**2 - 19*i - 60. Let n(s) = 2*s**2 + 5*s + 15. Let t(u) = 6*f(u) + 22*n(u). Factor t(m).
2*(m - 5)*(m + 3)
Let b(c) be the third derivative of c**7/105 + 2*c**6/21 + 17*c**5/70 - 3*c**4/14 + 13*c**2. Solve b(m) = 0.
-3, 0, 2/7
Let k(o) be the first derivative of -o**7/2100 + o**3/3 - 4. Let y(h) be the third derivative of k(h). Factor y(f).
-2*f**3/5
Let g(j) be the second derivative of -j**6/180 + j**5/120 + j**4/72 - j**3/36 + 10*j. Factor g(f).
-f*(f - 1)**2*(f + 1)/6
Let k(r) = 2*r - 4. Let v be k(3). Determine j so that -j**v + 8*j - 2 + 2*j**2 + 10 + j**2 = 0.
-2
Suppose 6 = 3*o - 3. Let k(p) be the third derivative of -2*p**2 + 0*p - 4/21*p**o + 1/21*p**4 - 1/210*p**5 + 0. Solve k(h) = 0.
2
Let l(n) = 7*n**3 + 32*n**2 + 25*n. Let a(x) = -2*x**3 - 8*x**2 - 6*x. Let z(g) = 9*a(g) + 2*l(g). Factor z(f).
-4*f*(f + 1)**2
Let b = 124 + -89. Let k be ((-4)/14)/((-25)/b). Factor 0*x**2 + 2/5*x**3 - k*x**5 + 0*x**4 + 0 + 0*x.
-2*x**3*(x - 1)*(x + 1)/5
What is j in -8*j**3 + 33*j**4 + 5*j**5 - 8*j**4 - 20*j**2 + 38*j**3 - 40*j = 0?
-2, 0, 1
Let z = 0 + -5. Let q = z - -8. Determine o, given that o + o**2 - 2 - 5*o - q*o**2 = 0.
-1
Let x(c) = 16*c**2 + 32*c + 6. Let s be ((-25)/15)/(1/3). Let y(v) = -17*v**2 - 31*v - 6. Let i(w) = s*y(w) - 4*x(w). Determine l, given that i(l) = 0.
-1, -2/7
Let x(w) = -6*w**5 - 38*w**4 - 12*w**3 + 24*w**2 + 4*w - 14. Let b(m) = 2*m**5 + 13*m**4 + 4*m**3 - 8*m**2 - m + 5. Let o(u) = -14*b(u) - 5*x(u). Factor o(f).
2*f*(f - 1)*(f + 1)**2*(f + 3)
Let i(g) be the first derivative of 1/2*g**2 + 3 - 1/4*g**4 - 1/5*g**5 + 0*g + 1/3*g**3. Solve i(l) = 0 for l.
-1, 0, 1
Let u = -7 + 8. Let p = 1 + u. Factor 5*b**3 + p - 2*b**5 - 4*b**2 - b**3 - 2*b + 0*b**4 + 2*b**4.
-2*(b - 1)**3*(b + 1)**2
Let c(f) = -f**3 - 5*f**2 - 6*f - 1. Let k be c(-4). Let i(g) = -g**2 + 6*g + 7. Let v be i(k). Factor v*a**2 + 0*a**3 - 1 + a**3 - 4*a**2 - a + 5*a**2.
(a - 1)*(a + 1)**2
Factor -2/3*q**2 + 0 - 14/3*q.
-2*q*(q + 7)/3
Let a = 21 + -21. Let d(p) be the second derivative of 1/3*p**3 + 0*p**2 + a + 2*p + 1/10*p**5 - 1/3*p**4. Factor d(k).
2*k*(k - 1)**2
Suppose 4*c + a + 2*a = 13, -4*c - 11 = -5*a. Suppose 0 = -4*w + c + 11. Determine m so that 54*m**4 - 3*m**w + 33*m**5 - 9*m**5 + 36*m**3 - 3*m = 0.
-1, -1/2, 0, 1/4
Let o be (-9)/(-72) - 23/(-8). Factor -8/13*f**2 - 2/13*f**o - 4/13 - 10/13*f.
-2*(f + 1)**2*(f + 2)/13
Let m(d) be the second derivative of 1/80*d**5 - 1/48*d**4 - 1/24*d**3 + 7*d + 1/8*d**2 + 0. Factor m(l).
(l - 1)**2*(l + 1)/4
Determine o so that 0 - 5/7*o - 1/7*o**2 = 0.
-5, 0
Let n = 39 - 36. Solve 1/5*v**2 - 1/5*v**n + 0 + 2/5*v = 0.
-1, 0, 2
Suppose 49/10*j**3 + 28/5*j**2 + 8/5*j + 0 = 0. What is j?
-4/7, 0
Suppose j + 45 = 6*j. Suppose 4*x + 4*l - 12 = 0, -4*x - l - j = -4*l. Suppose -1/3*o**2 - 1/3*o + x = 0. What is o?
-1, 0
Suppose -4*b = -6 - 6. Factor 0*d - 2/9*d**2 + 0 - 2/9*d**4 + 4/9*d**b.
-2*d**2*(d - 1)**2/9
Let o be 0 - (8/3)/(-2). Suppose -4*z = -2*z - 6. Factor -2/3 - o*s**2 - 5/3*s - 1/3*s**z.
-(s + 1)**2*(s + 2)/3
Let c(i) = -4*i**2 + 3*i + 3. Let b(p) = -p**2 + 4 - 3*p**2 - p**2 + 4*p. Let z be (12/8)/((-6)/16). Let s(f) = z*c(f) + 3*b(f). Solve s(d) = 0 for d.
0
Factor a**3 + 2*a**3 + 25*a - 8*a**3 - 5*a**2 - 15.
-5*(a - 1)**2*(a + 3)
Suppose 3*j - 2*v + 4*v = 41, v = -5*j + 59. Let -j + 20 - 10*w - 5 + 0*w**3 - 2*w**3 + 8*w**2 = 0. Calculate w.
1, 2
Factor 4/9*t - 2/9*t**2 + 0.
-2*t*(t - 2)/9
Let v(d) = d**2 + d - 2. Let y be v(-3). Suppose -y*n = -2*n - 4. Factor 6*q - 6*q + q**n + 2*q.
q*(q + 2)
Suppose 2*j + 6 = -0*o - 4*o, 0 = 2*j - 4*o + 14. Let p be 21/9 + (j - -3). Factor p*g**4 + 0*g**2 - 1/3 - 2/3*g**3 + 2/3*g.
(g - 1)**3*(g + 1)/3
Factor -4 + 20*c - 4*c**2 + 5*c**2 - 14 - 3*c**2.
-2*(c - 9)*(c - 1)
What is a in 0*a**4 - 2/3*a**3 + 0*a**2 + 1/3*a**5 + 0 + 1/3*a = 0?
-1, 0, 1
Let g(f) = -f**2 - f. Let q(h) = -2*h**3 + 6*h**2 + 8*h. Let j(r) = 6*g(r) + q(r). Factor j(a).
-2*a*(a - 1)*(a + 1)
Let a = -76/3 - -86/3. What is h in -a*h**2 + 2/3 - 8/3*h = 0?
-1, 1/5
Let o(y) be the second derivative of 4*y**7/315 - 17*y**6/225 + 14*y**5/75 - 11*y**4/45 + 8*y**3/45 - y**2/15 - 20*y. Solve o(z) = 0 for z.
1/4, 1
What is m in 2*m**4 - 74*m**2 + 11*m + m**4 + m + 98*m**2 + 15*m**3 = 0?
-2, -1, 0
Factor 2/13*t - 2/13*t**3 + 0 + 0*t**2.
-2*t*(t - 1)*(t + 1)/13
Suppose -12*m**3 + 4*m**5 - 8*m**2 + 1 + 1 - 2 = 0. What is m?
-1, 0, 2
Let f be (-16)/(-24) + 2/(-3). Let g(s) be the first derivative of f*s**3 + 2 - 1/14*s**4 + 2/35*s**5 + 0*s**2 + 0*s. Find l, given that g(l) = 0.
0, 1
Suppose k + 1 = -4. Let u(b) = -47*b**3 + 30*b**2 + 12*b - 5. Let t(w) = -24*w**3 + 15*w**2 + 6*w - 3. Let f(y) = k*t(y) + 3*u(y). Factor f(a).
-3*a*(a - 1)*(7*a + 2)
Let d(h) be the third derivative of -h**8/13440 - h**7/3360 + h**6/240 - h**5/15 - 2*h**2. Let a(g) be the third derivative of d(g). Factor a(p).
-3*(p - 1)*(p + 2)/2
Suppose -2*f + 12 = f. Suppose 2/3*o**2 + 1/3*o + 0*o**3 + 0 - 2/3*o**f - 1/3*o**5 = 0. Calculate o.
-1, 0, 1
Let n(c) = -12*c**3 + 70*c**2 - 72*c + 24. Let s(j) = -4*j**3 + 23*j**2 - 24*j + 8. Let b(r) = 5*n(r) - 16*s(r). Determine k so that b(k) = 0.
1/2, 2
Let x(d) = 2*d - 10. Let f be x(9). Let 44*q**4 + 28*q**2 - 43*q**3 - f*q + 4*q - 16*q**5 - 17*q**3 + 8*q**4 = 0. Calculate q.
0, 1/4, 1
Determine w so that -2*w**5 - w**3 + 0*w**3 + 3*w**5 = 0.
-1, 0, 1
Suppose 0 = 5*p - 291 + 61. Factor 2*o**2 + p + 4*o - 44 + 0*o**2.
2*(o + 1)**2
Factor -64*f - 28*f**3 - 84*f**2 + 6*f**5 + 10*f**4 - 16 + 10*f**4 + 6*f**5.
4*(f - 2)*(f + 1)**3*(3*f + 2)
Let s(n) be the first derivative of n**7/5040 - n**6/360 + n**5/60 - n**4/18 + n**3/3 - 5. Let g(o) be the third derivative of s(o). Solve g(a) = 0 for a.
2
Let g = 2 - 0. Suppose -u - g*u + 72 = 0. Find l such that -10*l**5 - 4*l**4 + 0*l