. Calculate l.
-1, 0, 1
Let v be (2 - 2)/(2/(-1)). Factor -2*b + 2*b**2 + v - 2 + 2*b.
2*(b - 1)*(b + 1)
Let q be 2/(-2)*8/(-4). Let i(l) = l**2 - 2*l + 2. Let u be i(q). Let u - 1 + 2*c + 0 + c**2 = 0. Calculate c.
-1
Suppose -5*m + 2*s + 2*s = -17, 0 = -3*s - 9. Let i = 1 + m. Factor -4/3*g**4 + 2/3*g**5 + 4/3*g**i - 2/3*g + 0*g**3 + 0.
2*g*(g - 1)**3*(g + 1)/3
Factor 2*f**2 - 2*f**3 + 2*f**5 - 2*f**4 - 5*f**4 + 8*f**4 - 3*f**4.
2*f**2*(f - 1)**2*(f + 1)
Let k(u) be the second derivative of u**6/80 + 21*u**5/160 + 3*u**4/16 - 2*u**3 - 6*u**2 - 24*u. Determine i, given that k(i) = 0.
-4, -1, 2
Let g(o) = -o**2 + 5*o - 2. Suppose 3*i - 5*i = 0, i = 4*a - 16. Let c be g(a). Find l such that -l - l**c + l = 0.
0
Let g(n) be the third derivative of -n**7/840 + n**5/10 + n**4/6 - n**2. Let s(o) be the second derivative of g(o). Solve s(f) = 0 for f.
-2, 2
Let s(l) = 16*l**2 - 15*l + 21. Let x(v) = -3*v**2 + 3*v - 4. Suppose 8*j - 10 = 3*j. Let b(o) = j*s(o) + 11*x(o). Suppose b(y) = 0. Calculate y.
1, 2
Solve -121/6 + 11/3*l - 1/6*l**2 = 0.
11
Let c(t) be the first derivative of t**4/18 + 4*t**3/27 - t**2/9 - 4*t/9 - 4. Find x such that c(x) = 0.
-2, -1, 1
Let u(q) be the third derivative of -q**5/420 + q**4/42 - 38*q**2. Factor u(g).
-g*(g - 4)/7
Suppose 2*r - 5*r = 0. Let o = r + 2. Factor -1/4 - 1/4*q**o - 1/2*q.
-(q + 1)**2/4
Let r(u) = 3*u**2 + 12*u + 9. Let l be r(-3). Factor 4/9*j - 2/9*j**4 + 2/9*j**2 - 4/9*j**3 + l.
-2*j*(j - 1)*(j + 1)*(j + 2)/9
Let h(z) be the third derivative of 0*z**6 - 1/120*z**5 - 2*z**2 + 0*z**3 - 1/72*z**4 + 0 + 0*z + 1/1260*z**7. Factor h(d).
d*(d - 2)*(d + 1)**2/6
Let l(f) be the first derivative of -f**6/3 + 2*f**5/5 + f**4/2 - 2*f**3/3 - 39. Find a such that l(a) = 0.
-1, 0, 1
Let c(n) be the third derivative of n**7/210 + n**6/40 + n**5/20 + n**4/24 - 6*n**2. Factor c(q).
q*(q + 1)**3
Let p(b) be the third derivative of -b**8/1008 - b**7/630 + b**6/360 + b**5/180 - 7*b**2. What is d in p(d) = 0?
-1, 0, 1
Suppose 0 = 2*n - 6 - 0. What is v in -3*v + 0*v**n + v**3 - 2 + 0*v = 0?
-1, 2
Let z(l) = 5*l**3 + 2. Let y(q) be the first derivative of -81*q**4/4 - 33*q + 3. Let f(w) = -2*y(w) - 33*z(w). Factor f(r).
-3*r**3
Let h(s) be the first derivative of 2*s**3/51 + 8*s**2/17 + 14*s/17 + 17. Let h(a) = 0. Calculate a.
-7, -1
Let p = 526 + -1576/3. What is h in -8/9*h + 8/9 - p*h**2 = 0?
-2, 2/3
Let p(z) be the third derivative of -z**8/13440 + z**7/2520 + z**6/1440 - z**5/120 + z**4/8 + 3*z**2. Let b(f) be the second derivative of p(f). Factor b(y).
-(y - 2)*(y - 1)*(y + 1)/2
Let 0 - 4/7*g**4 + 4/7*g**3 + 4/7*g**2 - 4/7*g = 0. Calculate g.
-1, 0, 1
Let w(u) be the first derivative of -u**5/30 + 5*u**4/84 + 2*u**3/21 - u**2 + 3. Let v(b) be the second derivative of w(b). What is i in v(i) = 0?
-2/7, 1
Let p = 87 - 85. Let f(b) be the third derivative of 0 + 0*b + 1/300*b**5 + 0*b**4 + 3*b**p + 0*b**3. Suppose f(z) = 0. Calculate z.
0
Factor 0 - 2/7*f**5 + 0*f - 2/7*f**4 + 0*f**2 + 4/7*f**3.
-2*f**3*(f - 1)*(f + 2)/7
Factor -3/2*z**3 - 3*z**2 + 0 - 3/2*z.
-3*z*(z + 1)**2/2
Let v(s) = -2*s**5 + 2*s**4 + 3*s**3 - 1. Let k(w) = w**3 + 1. Let p(g) = 2*k(g) + 2*v(g). Factor p(z).
-4*z**3*(z - 2)*(z + 1)
Let s = 34/3 + -11. Let x(l) be the second derivative of 2*l + 0 + 4/9*l**3 + s*l**2 + 1/6*l**4. Suppose x(n) = 0. What is n?
-1, -1/3
Let s be (-2 + 1)/((-9)/(-972)). Let p = s + 974/9. Solve 2/9 + 0*g - p*g**2 = 0.
-1, 1
Find s such that -2*s**2 + 0*s - 5 + 8*s - 1 = 0.
1, 3
Suppose 4*o = 3*o + 6. Let f(a) be the third derivative of -a**2 + 0 + 0*a**4 - 3/224*a**8 + 0*a + 1/20*a**7 + 0*a**3 + 1/30*a**5 - 1/15*a**o. Factor f(k).
-k**2*(k - 1)*(3*k - 2)**2/2
Let h(o) be the second derivative of -1/12*o**4 - 1/6*o**3 + 1/20*o**5 + 0*o**2 + 2*o + 0 + 1/30*o**6. Factor h(s).
s*(s - 1)*(s + 1)**2
Let b(v) be the second derivative of v**7/4200 - v**6/600 + v**5/300 + v**3 + 9*v. Let l(a) be the second derivative of b(a). Factor l(z).
z*(z - 2)*(z - 1)/5
Let i(n) be the first derivative of 1/9*n**2 - 2/27*n**3 + 4/9*n + 5. Factor i(f).
-2*(f - 2)*(f + 1)/9
Let g = 137/333 - 7/37. Determine b, given that -g*b**2 + 0 + 0*b = 0.
0
Let n(m) be the third derivative of -1/60*m**6 + 0*m + 1/630*m**7 + 0 - 1/6*m**4 + 2/9*m**3 + 13/180*m**5 + 3*m**2. Factor n(s).
(s - 2)**2*(s - 1)**2/3
Let w(o) = 6*o**2 - 2*o - 3. Let d(m) = -7*m**2 + 3*m + 4. Let f(l) = 5*d(l) + 6*w(l). Let f(q) = 0. What is q?
-2, -1
Let g(a) = 3*a**4 - 3*a**3 - a**2 - a + 2. Let m(o) = 13*o**4 - 13*o**3 - 4*o**2 - 5*o + 9. Let y(b) = -18*g(b) + 4*m(b). Factor y(r).
-2*r*(r - 1)**2*(r + 1)
Let w be (4 - 4) + 4 + -4. Suppose 2*k + l - 4*l + 3 = 0, -2*k = 4*l - 18. Let -8/3*n**2 - 50/3*n**4 + 0*n + w + 40/3*n**k = 0. What is n?
0, 2/5
Let n(d) = d + 2. Let x be n(0). Factor 6*h + 6*h**2 - x*h**2 + 9 - 3*h**2.
(h + 3)**2
Let p(m) = -m**3 + 5*m**2 + 8*m - 4. Let i be p(6). Suppose -c + 2*u = 4, 4*u = 6*c - c + i. Let 1/3*d**4 + 2/3*d**3 + 1/3*d**2 + c + 0*d = 0. What is d?
-1, 0
Let s(h) be the second derivative of h**6/10 - 3*h**4/4 - h**3 - 5*h. Solve s(a) = 0 for a.
-1, 0, 2
Let h(f) = -f + 7. Suppose 4*u + 3*g - 10 = 0, -2*u - 2*g = -u. Let z be h(u). Factor -1/3*t**5 - 2/3*t**2 + 1/3*t + 2/3*t**4 + 0 + 0*t**z.
-t*(t - 1)**3*(t + 1)/3
Let n(u) be the second derivative of -49*u**6/40 + 819*u**5/80 - 219*u**4/8 + 47*u**3/2 - 9*u**2 + 30*u. Solve n(t) = 0.
2/7, 2, 3
Let d(m) be the first derivative of 2*m**3/21 - 2*m**2/7 - 6*m/7 + 16. Factor d(a).
2*(a - 3)*(a + 1)/7
Let x(j) be the second derivative of -j**7/147 - 4*j**6/105 - 3*j**5/35 - 2*j**4/21 - j**3/21 + 23*j. Let x(m) = 0. Calculate m.
-1, 0
Factor 0*p**2 + 0*p - 5/7*p**5 + 3/7*p**4 + 2/7*p**3 + 0.
-p**3*(p - 1)*(5*p + 2)/7
Factor 0*i**2 - 8/7*i**3 + 8/7*i - 4/7*i**4 + 4/7.
-4*(i - 1)*(i + 1)**3/7
Let c(q) = -2*q**3 - 6*q**2 + 1. Let z be c(-3). Find j such that 3/2*j + z + 1/2*j**2 = 0.
-2, -1
Let v be (6/4)/((-15)/(-20)). Let i(x) be the second derivative of 11/20*x**5 + 0*x**v - 3/14*x**7 - 1/5*x**6 - 2*x + 1/3*x**4 - 2/3*x**3 + 0. Factor i(q).
-q*(q + 1)**2*(3*q - 2)**2
Let k(t) = 4*t**3 - 2*t. Let o(z) = 21*z**3 - z**2 - 9*z. Suppose f - 1 = 4*j, -28 = 2*f - 4*j + 6*j. Let i(q) = f*k(q) + 2*o(q). Let i(p) = 0. Calculate p.
-2, 0, 1
Let o(z) = 4*z**4 - 2*z**2 + 4. Let y be -1 - 2 - 5*-4. Let v(x) = 11*x**4 - 5*x**2 + 11. Let b(a) = y*o(a) - 6*v(a). Factor b(m).
2*(m - 1)**2*(m + 1)**2
Let m(z) be the first derivative of 4 - 3/5*z**2 - 9/5*z**3 - 21/20*z**4 + 0*z. Suppose m(b) = 0. What is b?
-1, -2/7, 0
Suppose j - 4 = 3*n + 2, 0 = -4*n. Suppose -o - j = -4*s, -s - 6 = s + 4*o. Suppose s + p**2 + 0*p - 2*p + 4*p = 0. Calculate p.
-1
Let k(v) = v**3 + v**2 - v - 1. Let s(q) = 10*q**3 + 10*q**2 + 5*q + 5. Let z(y) = -15*k(y) + s(y). Factor z(f).
-5*(f - 2)*(f + 1)*(f + 2)
Let s = -138595/55209 - 8/1673. Let h = -24/11 - s. Find l, given that 0*l + h*l**2 - 1/3 = 0.
-1, 1
Suppose c - 4 = -c. Suppose 0 = -4*l + 4*w - 8, c*l - 3*w = -0*w - 8. Factor 3*n**2 - l - 5*n - 9*n**2 - n - 2*n**3.
-2*(n + 1)**3
Let k be -3 + 35/45*15. Let j = 9 - k. Determine s so that 4/3*s**4 - j*s**5 + 4/3*s**2 - 1/3*s - 2*s**3 + 0 = 0.
0, 1
Factor 4*d + 8 - 16*d + 0*d**3 + 4*d**3.
4*(d - 1)**2*(d + 2)
Suppose 0 = 2*l + 2*l - 116. Factor 4*w + 2*w + 27*w**2 - l*w**2.
-2*w*(w - 3)
Let p = -173/24 + 63/8. Factor -2/3*a**5 - 8/3*a**4 + 0 - p*a - 4*a**3 - 8/3*a**2.
-2*a*(a + 1)**4/3
Let i be (-27)/15 + (-2 + 2 - -3). Determine m so that 12/5*m**3 - 3/5*m**4 - 3/5 - i*m**5 - 6/5*m + 6/5*m**2 = 0.
-1, -1/2, 1
Let i = -11 + 4. Let u(z) = -2*z**3 + 2*z**2 + 6*z + 6. Let b(q) = -3*q**3 + 5*q**2 + 12*q + 11. Let n(w) = i*u(w) + 4*b(w). Factor n(k).
2*(k + 1)**3
Let h(c) be the third derivative of c**8/84 - 68*c**7/315 + 13*c**6/30 + 4*c**5/15 - 10*c**4/9 + 6*c**2. Determine j so that h(j) = 0.
-2/3, 0, 1, 10
Find v, given that 8/7*v**2 + 4/7 + 10/7*v + 2/7*v**3 = 0.
-2, -1
Let w = 120 - 70. Factor 3*b**4 + 50 - 3*b**3 + 3*b - w - 3*b**2.
3*b*(b - 1)**2*(b + 1)
Let r(p) be the second derivative of -p**5/90 + p**4/54 + 23*p. Factor r(g).
-2*g**2*(g - 1)/9
Let s(f) be the first derivative of -f**8/3360 + f**7/840 - f**6/720 + f**3 + 3. Let h(a) be the third derivative of s(a). Solve h(j) = 0.
0, 1
Let j = -553/3 - -187. Let a(i) be the second 