**4 + d + 1/5*l + 0*l**2 + 1/5*l**5 = 0. Calculate l.
-1, 0, 1
Suppose 0 = 4*w - 7 + 23. Let i be (2/w)/((-4)/16). Factor 0*x - x - x**2 + i*x**2 - 2.
(x - 2)*(x + 1)
Suppose 66*m - 3*p = 71*m - 4, 0 = 2*p + 4. Let v = 67/3 + -22. Solve 1/3*w + 0 + v*w**m = 0 for w.
-1, 0
Let m = -1 - -3. Factor -l + l**2 + 3*l + 3*l**2 - 3*l**m.
l*(l + 2)
Let o(n) be the first derivative of -n**6/3 - 8*n**5/5 - 3*n**4 - 8*n**3/3 - n**2 + 7. Factor o(c).
-2*c*(c + 1)**4
Let q(h) be the second derivative of -h**5/100 + h**4/60 + 2*h**3/15 - 2*h**2/5 - 10*h. Find m such that q(m) = 0.
-2, 1, 2
Let w be (8/(-30))/(2 + (-26)/10). Factor -w + 4/9*p**2 - 2/3*p.
2*(p - 2)*(2*p + 1)/9
Let j(k) be the first derivative of -k**6/160 + 3*k**5/80 - k**4/16 + k**2/2 + 6. Let w(b) be the second derivative of j(b). Factor w(n).
-3*n*(n - 2)*(n - 1)/4
Suppose 2*t - 4*g = -4, g = t - 0*g. Suppose -5*i + t*i + 21 = 0. Factor -3*o**4 - 7*o**3 + i*o**3 + 5*o**4.
2*o**4
Let m(i) = i**3 + 3*i**2 - 3*i + 3. Let r(z) = -4*z**3 - 13*z**2 + 13*z - 13. Let j = 65 + -91. Let g(a) = j*m(a) - 6*r(a). Solve g(v) = 0 for v.
0
Let v be (-6 + -2)*(-2)/(6 - -2). Let 0*a + 6*a**5 - v*a**4 + 8/3*a**2 + 0 - 16/3*a**3 = 0. What is a?
-1, 0, 2/3
Let n be 14/9 - 32/24. Factor -n*g**2 - 8/9 + 8/9*g.
-2*(g - 2)**2/9
Let d be -2*2*3/(-4). Let h = 109/324 + -1/324. Factor 0*z + 2/3*z**2 - 1/3*z**4 - h + 0*z**d.
-(z - 1)**2*(z + 1)**2/3
Let d(l) be the second derivative of 800*l**5/11 + 200*l**4/11 + 20*l**3/11 + l**2/11 + 8*l - 2. What is y in d(y) = 0?
-1/20
Factor -12/5 + 3/5*t**3 - 6/5*t**2 - 21/5*t.
3*(t - 4)*(t + 1)**2/5
Let 0 + 42/11*k**3 + 18/11*k**4 + 12/11*k + 2/11*k**5 + 38/11*k**2 = 0. Calculate k.
-6, -1, 0
Let g(b) be the first derivative of 1/24*b**4 - 1/12*b**3 + 0*b**2 - 2 + 2*b. Let a(x) be the first derivative of g(x). Factor a(q).
q*(q - 1)/2
Let n(v) = -4*v**4 - 8*v**3 + 4*v**2 + 8*v - 4. Let o(g) = 1. Let x(z) = -n(z) - 4*o(z). Let x(d) = 0. Calculate d.
-2, -1, 0, 1
Let d(q) be the first derivative of 4*q**5/5 - 12*q**4 + 64*q**3 - 128*q**2 - 10. Factor d(j).
4*j*(j - 4)**3
Determine x, given that -2*x**2 + 2*x**4 - x**3 + 0 - 1/2*x**5 + 3/2*x = 0.
-1, 0, 1, 3
Suppose 3*y + 22 = 5*r - 9, -y = -2*r + 12. Let g(z) be the second derivative of 1/16*z**4 - 1/2*z**2 - 1/80*z**r + 3*z + 0 + 0*z**3. Factor g(k).
-(k - 2)**2*(k + 1)/4
Let x = 35 + -32. Find w, given that 4/3*w**2 - 2/3*w + 2/3*w**x - 4/3 = 0.
-2, -1, 1
Suppose 8*j - 12 = 4*j. Let h be 1 + 6/5 + -1. Factor -6/5*v + h*v**2 + 2/5 - 2/5*v**j.
-2*(v - 1)**3/5
Let w(s) = -s - 7. Let t be w(-9). Suppose 0 = d - 0 - t. Determine n, given that 2/3 - 2/3*n**d + 0*n = 0.
-1, 1
Suppose -o - 54 = -4*o. Let g = -15 + o. Factor 4/7*p**g - 4/7*p**2 - 2/7*p + 2/7 - 2/7*p**5 + 2/7*p**4.
-2*(p - 1)**3*(p + 1)**2/7
Let a(f) = -39*f**3 - 39*f**2 + 15*f - 9. Let v(c) = 20*c**3 + 19*c**2 - 7*c + 5. Let u(t) = -5*a(t) - 9*v(t). Let u(n) = 0. What is n?
-2, 0, 2/5
Suppose 7 = 2*o + 1. Let i(m) be the second derivative of 0 + 1/6*m**4 - m**o + 3*m + 2*m**2. Factor i(p).
2*(p - 2)*(p - 1)
Let x(m) be the first derivative of m**6/720 + m**5/80 + m**3/3 + 3. Let t(a) be the third derivative of x(a). Factor t(p).
p*(p + 3)/2
Let s(r) = -r**5 - r**4 + r**3 - r**2 - r - 1. Let y(v) = 24*v**5 + 36*v**4 - 4*v**2 + 4*v + 4. Let z(a) = -4*s(a) - y(a). Solve z(w) = 0 for w.
-1, 0, 2/5
Determine j so that 0*j**3 + 87/2*j**2 - 75/2*j**4 - 6 + 0*j = 0.
-1, -2/5, 2/5, 1
Let i(j) = -j**2 + 3*j + 3. Let a be i(3). Determine v so that 2*v**4 + 0*v**3 - 3*v**3 + 6*v - 5*v**4 + 3*v**2 - 3*v**a = 0.
-2, -1, 0, 1
Let d(t) be the third derivative of t**5/420 - 16*t**2. Factor d(g).
g**2/7
Let 1/6*q**2 + 3/2 - q = 0. Calculate q.
3
Let c(g) be the third derivative of 0 + 6*g**2 + 1/12*g**3 - 1/120*g**5 + 1/96*g**4 - 1/480*g**6 + 0*g. Factor c(s).
-(s - 1)*(s + 1)*(s + 2)/4
Suppose 33*s**3 - 4*s**2 + 34*s**3 - 2*s - 69*s**3 = 0. Calculate s.
-1, 0
Let r be (-2 - 162/(-30)) + -3. Determine k, given that -r - 4/5*k - 2/5*k**2 = 0.
-1
Factor 257*h**3 - 6*h + 104*h**2 + 14*h + 81*h**3.
2*h*(13*h + 2)**2
Let o be 20/(-5) - (-77)/14. Suppose 0 + 0*s - o*s**3 + 3/2*s**2 = 0. What is s?
0, 1
Suppose 24 = -4*i + x - 3*x, 12 = -3*x. Let d = i + 6. Factor 7*h**d - 4*h**2 - h**4 + 5*h + 0*h + 2 - h**3.
-(h - 2)*(h + 1)**3
Let h(z) = -z**2 + 1. Let t(c) = 8*c**2 - 5. Let x(f) = -18*h(f) - 2*t(f). Factor x(u).
2*(u - 2)*(u + 2)
Let m(n) be the third derivative of n**7/280 - n**5/80 + 3*n**2. Solve m(j) = 0.
-1, 0, 1
Factor 0*z - 2/7*z**5 - 2/7*z**2 - 6/7*z**3 + 0 - 6/7*z**4.
-2*z**2*(z + 1)**3/7
Let n(z) be the first derivative of 10*z**3/3 + 4*z**2 + 8*z/5 - 14. Factor n(j).
2*(5*j + 2)**2/5
Let i(r) be the third derivative of -r**6/720 - r**5/360 + 5*r**4/72 - 2*r**3/9 + 21*r**2 - r. Determine p, given that i(p) = 0.
-4, 1, 2
Let l(t) be the first derivative of -t**6/80 - t**5/40 + t**4/16 + t**3/4 - t**2/2 + 4. Let s(b) be the second derivative of l(b). Let s(v) = 0. Calculate v.
-1, 1
Let o(c) be the second derivative of -1/147*c**7 - 2/105*c**6 - 1/70*c**5 + 3*c + 0 + 0*c**4 + 0*c**2 + 0*c**3. Find x such that o(x) = 0.
-1, 0
Let q be (-5)/(4500/(-2703)) - 3. Let d(l) be the third derivative of 0*l**3 + 0 + q*l**5 + 0*l + 0*l**4 - 2*l**2 + 1/600*l**6. Factor d(i).
i**2*(i + 1)/5
Let v = 2/455 + 544/455. Factor 0 + 2/5*l + 2/5*l**4 + v*l**3 + 6/5*l**2.
2*l*(l + 1)**3/5
Let a be ((-14)/4 + 3)*-4. Suppose 6*l - 3*l + 3*l**5 - 2*l - 2*l**3 - a*l**5 = 0. What is l?
-1, 0, 1
Solve -8*y - 4*y**2 + 16*y**3 + 2*y**4 - 4*y**5 - 4*y**5 + 0*y**3 + 2 = 0 for y.
-1, 1/4, 1
Let q(f) be the first derivative of 0*f**3 - 3 - 3/5*f**2 + 1/10*f**4 + 4/5*f. Factor q(x).
2*(x - 1)**2*(x + 2)/5
Let s be -1 + 3 + -3 - (-6 - -3). Let -d - 1/2*d**s - 1/2 = 0. What is d?
-1
Factor 24/7 + 8/7*d - 2/7*d**2.
-2*(d - 6)*(d + 2)/7
Let l(h) = 3*h**3 - 3*h**2 - 3*h + 2. Let t(x) = 1. Let o(i) = l(i) + t(i). Factor o(u).
3*(u - 1)**2*(u + 1)
Let b(j) = -j**2 - 6*j + 10. Let r be b(-7). Suppose 2 = r*d - 4. Find t such that 0*t**2 + 2*t**4 + 4*t**d - 6*t**2 = 0.
-1, 0, 1
Let q(z) be the third derivative of z**8/12 - 2*z**7/21 - 8*z**6/15 - 4*z**5/15 - 5*z**2. Let q(p) = 0. Calculate p.
-1, -2/7, 0, 2
Suppose 10 = 3*c - 20. Let q be 1 - 2 - c/(-8). Suppose -q*t**4 - 1/4*t + 1/4*t**3 + 0 + 1/4*t**2 = 0. Calculate t.
-1, 0, 1
Suppose 5*l - 3*b + 14 = 0, l = -0*b - 4*b - 12. Let w = l - -5. Factor 3*s + w - 3*s - s**2.
-(s - 1)*(s + 1)
Let f(w) be the second derivative of -w**7/840 + w**6/360 - w**3/6 - 2*w. Let s(c) be the second derivative of f(c). Find r such that s(r) = 0.
0, 1
Suppose 3 = 4*a - 5*t - 5, -3*a = 4*t - 6. Factor -2/3*k + 0 - 1/3*k**a.
-k*(k + 2)/3
Let l(y) = y**3 + y**2 - y. Let v(j) = -j. Let x(s) = -2*l(s) + 2*v(s). Factor x(a).
-2*a**2*(a + 1)
Let c(s) = -s**2 + 5*s + 6. Let z(d) = d. Let y be z(6). Let b be c(y). Factor 0*k + 6/5*k**3 + 2/5*k**2 + 2/5*k**5 + 6/5*k**4 + b.
2*k**2*(k + 1)**3/5
Let s(m) be the third derivative of -m**5/180 - 2*m**4/9 - 32*m**3/9 + 17*m**2. Determine y, given that s(y) = 0.
-8
Let b be 49/(-7) + (0 - -2). Let r(d) = -5*d**5 + 3*d**3 + 2*d**2 + 2*d. Let m(l) = -11*l**5 + 6*l**3 + 5*l**2 + 5*l. Let v(h) = b*r(h) + 2*m(h). Factor v(k).
3*k**3*(k - 1)*(k + 1)
Let u be -5 + 4 - (0 + -3). Let a = u + 0. Solve 0*v + 2/5 - 2/5*v**a = 0.
-1, 1
Let l be 2/5 - 2/5. Suppose -5*q = 3*y - 6, l*q - 4 = -2*y - 3*q. Let 1 + y - 1 - 3*w - 2*w**2 = 0. What is w?
-2, 1/2
Let k(m) be the first derivative of m**4/42 + m**3/7 - 5*m + 9. Let z(p) be the first derivative of k(p). Factor z(w).
2*w*(w + 3)/7
Suppose 0 - 2/11*r - 6/11*r**3 + 8/11*r**2 = 0. What is r?
0, 1/3, 1
What is g in -8*g + 819 + g**2 - 3*g**2 + 6*g**2 - 815 = 0?
1
Let r(i) be the first derivative of -3/7*i**2 - 3 + 11/7*i**3 + 0*i. Determine q, given that r(q) = 0.
0, 2/11
Let s(h) = -h - 7. Let t be s(-6). Let o be -3 - 8/(-3) - t. Let -o*l + 1/3*l**2 + 1/3 = 0. What is l?
1
Let m(s) = -2*s + 2. Let z be m(1). Let b be 6/(-8)*6/(-9). Determine p, given that b*p**3 + 1/2*p**2 + 0 + z*p = 0.
-1, 0
Factor -4/7*f**2 + 0*f**3 + 0 + 4/7*f**4 - 2/7*f + 2/7*f**5.
2*f*(f - 1)*(f + 1)**3/7
Let d be (-28)/12 - 0 - -3. Let n(i) be the first derivative of -d*i**3 + 1/6*i**6 + 0*i - 1/2*i**2 + 0*i**4 - 2 + 2/5*i**5. Factor n(v).
v*(v