 = 2 - 3. Let f(j) = -11*j**3 + j**2 - j - 1. Let a be f(t). Factor -4 + 7*q**2 + a + 8*q - 5*q**2.
2*(q + 2)**2
Let l(u) = u**3 + 8*u**2 - 8*u + 9. Suppose 0*y + 5*y + 45 = 0. Let a be l(y). Find v, given that 2*v**2 + 4 + 6*v + 0 + a*v**2 = 0.
-2, -1
Suppose -2*t - 3*f + 3 = -6*f, -4 = -t + 4*f. Let a(m) be the first derivative of 0*m**4 - 1/15*m**5 + 0*m**2 + 2 + t*m**3 + 0*m + 1/18*m**6. Solve a(i) = 0.
0, 1
Let l(t) = -t**3 + t**2 + t + 1. Let d(y) = -2*y**3 - 18*y**2 - 18*y - 2. Let a(v) = -d(v) - 2*l(v). Factor a(b).
4*b*(b + 2)**2
Let p(h) be the first derivative of 2*h**3/3 - 2*h**2 + 8. Factor p(c).
2*c*(c - 2)
Let g be 522/15 - 1/(-5). Let y be (10/g)/(1/2). Factor 2/7*b**2 + 2/7*b - y.
2*(b - 1)*(b + 2)/7
Let n(r) be the third derivative of -r**5/420 + r**4/168 + r**3/21 - 3*r**2. Find b such that n(b) = 0.
-1, 2
Let c(m) = -17*m**3 + 33*m**2 - 42*m + 17. Let f(w) = 4*w**3 - 8*w**2 + 10*w - 4. Let q(a) = -2*c(a) - 9*f(a). Factor q(i).
-2*(i - 1)**3
Let w be (140/(-42))/((-2)/3). Let m(b) be the third derivative of -1/9*b**3 + 0*b + 1/360*b**6 + 2*b**2 - 1/72*b**4 + 1/90*b**w + 0. Solve m(j) = 0 for j.
-2, -1, 1
Let b(q) be the second derivative of q**7/1680 + q**6/360 - q**3/2 - 4*q. Let y(p) be the second derivative of b(p). Factor y(o).
o**2*(o + 2)/2
Let d(y) be the third derivative of -y**7/5040 + y**6/1440 - y**4/12 - y**2. Let k(z) be the second derivative of d(z). Factor k(x).
-x*(x - 1)/2
Let p(v) be the second derivative of -2*v**7/63 - 2*v**6/45 + 13*v**5/15 + v**4/9 - 32*v**3/3 + 24*v**2 - 26*v. Solve p(x) = 0.
-3, 1, 2
Let k(g) be the first derivative of 0*g**3 + 0*g**4 + 1/6*g**6 + 0*g**2 - 1 + 0*g - 1/5*g**5. What is b in k(b) = 0?
0, 1
Let p(t) = -t**3 - 2*t**2 + 2*t - 1. Let r be p(-3). Let l be (-1 - -2)/(-1) - -9. Factor -12*z**4 + 8*z**3 - 3*z**5 - 2*z**r + l*z**5 + z**3.
z**2*(z - 1)**2*(5*z - 2)
Let t(r) be the second derivative of -1/7*r**2 - 1/21*r**3 + 1/42*r**4 + 1/70*r**5 + 0 - 2*r. Solve t(l) = 0 for l.
-1, 1
Let o(b) be the first derivative of -b**6/3 + 13*b**5/10 - 15*b**4/8 + 7*b**3/6 - b**2/4 + 9. Factor o(g).
-g*(g - 1)**3*(4*g - 1)/2
Let v = -4 + 6. Let n = v - 0. Factor 2*o**2 - o**2 - 7*o**n + 2*o.
-2*o*(3*o - 1)
Let p = 902/9 - 100. Let n(y) be the first derivative of 0*y**2 + p*y**3 - 1 + 0*y. Solve n(r) = 0.
0
Let j(q) = -q**3 + q + 1. Suppose 3*o = 5*o - 2. Let t(f) = 3*f**3 - 3*f - 1. Let r(a) = o*t(a) + j(a). Find g, given that r(g) = 0.
-1, 0, 1
Factor 72/7*x + 162/7*x**2 + 8/7.
2*(9*x + 2)**2/7
Let d be 10/3*14/70*3. Suppose 0 - 2/3*h + 8/3*h**d - 2*h**3 = 0. Calculate h.
0, 1/3, 1
Let x(m) = 24*m**3 - 30*m**2 + 34*m. Let s(v) be the second derivative of -v**5/4 + v**4/2 - 7*v**3/6 + v. Let f(i) = 28*s(i) + 6*x(i). Factor f(w).
4*w*(w - 2)*(w - 1)
Let q(j) be the first derivative of 4/9*j**3 + 1/3*j - 1 + 2/3*j**2. Factor q(d).
(2*d + 1)**2/3
Let n(k) be the third derivative of -1/75*k**6 - 1/525*k**7 + 0*k - 1/30*k**4 + 0 + 2*k**2 + 0*k**3 - 1/30*k**5. Solve n(w) = 0 for w.
-2, -1, 0
Let x(i) be the first derivative of 4*i**5/5 + 5*i**4 + 12*i**3 + 14*i**2 + 8*i + 17. Solve x(a) = 0.
-2, -1
Let x be (-3 - (-114)/36)/((-1)/(-3)). Let s(k) be the second derivative of -k - x*k**2 + 1/3*k**3 - 1/12*k**4 + 0. Factor s(j).
-(j - 1)**2
Let z(s) = 6*s**5 + 41*s**4 + 59*s**3 + 5*s**2. Let o(l) = -9*l**5 - 61*l**4 - 88*l**3 - 7*l**2. Let v(i) = -5*o(i) - 7*z(i). Factor v(r).
3*r**3*(r + 3)**2
Let x = 7 + -7. Find v such that -66/7*v**3 + 20/7*v**2 - 32/7*v**5 - 2/7*v + x + 80/7*v**4 = 0.
0, 1/4, 1
Let d(p) = -4*p**5 + 16*p**4 + 7*p**3 - 12*p**2 + 7*p. Let o(k) = k**5 - 5*k**4 - 2*k**3 + 4*k**2 - 2*k. Let r(v) = -2*d(v) - 7*o(v). Solve r(y) = 0.
-2, 0, 1
Factor 0*s - 1/9 + 1/9*s**2.
(s - 1)*(s + 1)/9
Suppose 2*w - 1 - 7 = 4*i, 2*i + 20 = 5*w. Solve 0 + i*f + 0*f**3 + 2/7*f**2 - 2/7*f**4 = 0 for f.
-1, 0, 1
Suppose 2*i = 3*j - 1 + 21, 2*i - 5*j = 28. Determine s so that -2/5*s**3 + 0 + 1/5*s**2 + 0*s + 1/5*s**i = 0.
0, 1
Factor 4*m**2 + m**5 - 4*m**2 - 4*m**4 - 3*m**3 + 7*m**3.
m**3*(m - 2)**2
Let v(w) be the third derivative of -w**5/20 + 17*w**2. Factor v(c).
-3*c**2
Let y be 1*2 + (-32)/15. Let t = y + 1/3. Factor -2/5*s - t*s**3 + 0 - 3/5*s**2.
-s*(s + 1)*(s + 2)/5
Let h(l) be the third derivative of 5*l**8/336 - l**7/7 + l**6/4 + 5*l**5/3 - 65*l**4/8 + 15*l**3 - 33*l**2. Find x, given that h(x) = 0.
-2, 1, 3
Let i(v) = -v**2 + 2. Let x(o) = -o**2 + 10*o - 8. Let f be x(9). Let w(k) = -1. Let b(q) = f*i(q) + 2*w(q). Factor b(u).
-u**2
Let 0*w**3 - 4 + 150*w**2 - 4*w**3 - 146*w**2 + 4*w = 0. Calculate w.
-1, 1
Let y be 2/(-4) + (-5)/(-2). Factor y*u**2 + 0*u**3 - u**3 + 2*u**3.
u**2*(u + 2)
Suppose 0 = -o + m + 1, -4*o + m + 2*m = -5. Let n(d) be the first derivative of -2/21*d**3 - 2 + 0*d - 3/14*d**4 + 2/7*d**o. Factor n(x).
-2*x*(x + 1)*(3*x - 2)/7
Let n(l) = -l**2 + 8*l + 7. Let c(i) = -2*i**2 + 9*i + 6. Suppose -5*q + 0 - 15 = 0. Let d(f) = q*n(f) + 2*c(f). What is k in d(k) = 0?
-3
Factor 548*y - 2 - 549*y - y**2 + 2*y**2.
(y - 2)*(y + 1)
Suppose 3 - 6 = u - 3*m, 4*m = 4*u - 4. Suppose a**3 - 2*a**3 + 5*a**3 - 3*a**u = 0. Calculate a.
0
Suppose b**2 + 1 + 2*b - 1 - 1 - 2*b**2 = 0. Calculate b.
1
Suppose 0 = 5*h, -3*v + 6*h = h - 6. Let j(q) be the first derivative of -3/5*q**v - 2/5*q**4 - 1/5*q + 3 - 4/5*q**3. Factor j(r).
-(2*r + 1)**3/5
Let j(t) be the first derivative of -t**6/18 - 4*t**5/15 - 5*t**4/12 - 2*t**3/9 + 1. Factor j(z).
-z**2*(z + 1)**2*(z + 2)/3
Let m be -1 + 4 - -1*1. Suppose -b + m = b. Suppose 4*k**2 - 6*k**b - 4*k**3 + k**4 - 3*k**4 = 0. What is k?
-1, 0
Let l(y) be the second derivative of 6*y - 7/66*y**4 + 2/33*y**3 + 3/11*y**2 + 1/55*y**5 + 0. Determine z, given that l(z) = 0.
-1/2, 1, 3
Let z(d) = d**3 - d**2 + d - 1. Suppose 3*f - 4*f + 2 = 0. Let t(g) = -8*g**3 + 8*g**2 - 6*g + 6. Let s(p) = f*t(p) + 14*z(p). Factor s(k).
-2*(k - 1)**2*(k + 1)
Let s(l) be the first derivative of -3*l**5/5 - 9*l**4/2 - 12*l**3 - 15*l**2 - 9*l + 12. What is x in s(x) = 0?
-3, -1
Let b(a) = -a**2 + 3*a + 5. Let m be b(4). Let h be m/(-3*(-3)/18). Factor -h*f**3 + 8*f**2 + 0*f**3 + 4*f**3 + 8*f.
2*f*(f + 2)**2
Let v(q) = -3*q**4 - 8*q**3 - 12*q**2 - 4. Let b(x) = 24*x**4 + 63*x**3 + 96*x**2 + 33. Let g(f) = -4*b(f) - 33*v(f). Find z, given that g(z) = 0.
-2, 0
Let z(y) be the second derivative of 16*y**7/189 + 8*y**6/45 + y**5/90 - y**4/9 + y**3/27 + 5*y. Solve z(a) = 0 for a.
-1, 0, 1/4
Let y = 1367/7 - 195. Solve -2/7*c**2 + y*c**3 + 0*c + 0 = 0.
0, 1
Let m = 17 + -16. Let l be (m/(1/1))/2. Factor -1/4*t**4 + 0*t - l*t**3 - 1/4*t**2 + 0.
-t**2*(t + 1)**2/4
Solve -16/5*v + 4/5 + 7/5*v**2 = 0 for v.
2/7, 2
Let l(c) = c**2 + 29*c**3 - 4*c**4 + 64*c**2 + 48*c + 3*c**4. Let y(n) = n**4 - 19*n**3 - 43*n**2 - 32*n. Let r(j) = 5*l(j) + 7*y(j). Factor r(m).
2*m*(m + 2)**3
Suppose 2*g - 4*w = 12, 0 = -2*g - g - w + 11. Solve 4/9*a**2 + 2/9*a**5 - 2/3*a**g - 2/3*a + 4/9*a**3 + 2/9 = 0.
-1, 1
Let y(g) be the second derivative of g**4/20 + g**3/15 - g**2/10 - g. Let y(j) = 0. Calculate j.
-1, 1/3
Let h = -18 - -22. Suppose 3*a + x - 18 = -a, 0 = 2*a - h*x. Let 7/3*n**2 + 0*n - 4/3 - n**a + 1/3*n**3 - 1/3*n**5 = 0. Calculate n.
-2, -1, 1
Let a(k) be the first derivative of 35*k**3/18 - 5*k**2/6 - 21. Solve a(r) = 0.
0, 2/7
Suppose 3*b + 1 + 5 = -4*o, 0 = 4*o - b + 14. Let z(s) = 3*s**2 + 9*s - 2. Let c(q) = q**2 + 3*q - 1. Let r(u) = o*z(u) + 8*c(u). Factor r(h).
-(h + 1)*(h + 2)
Solve 0*f + 2/3*f**2 - 1/3*f**4 + 0*f**3 - 1/3 = 0.
-1, 1
Let f = 12/103 - 176/5047. Let d = 65/196 - f. Let d*p**2 + 0 + 0*p = 0. Calculate p.
0
Let r(x) be the third derivative of x**3 + 0 + 3/8*x**4 + 0*x - 4*x**2 + 1/20*x**5. Find j such that r(j) = 0.
-2, -1
Let g(f) be the first derivative of f**6/80 + f**5/40 - 5*f**2/2 - 1. Let j(i) be the second derivative of g(i). Factor j(x).
3*x**2*(x + 1)/2
Let k(l) = -l**3 + l**2. Let c(p) = -10*p**3 - p**2 + p + 10. Let m(u) = 4*c(u) - 36*k(u). Factor m(z).
-4*(z - 1)*(z + 1)*(z + 10)
Let b(k) = 9*k**3 - 4*k**2 + 7*k. Let x(o) be the first derivative of -o**4 + 2*o**3/3 - 3*o**2/2 - 5. Let i(m) = 6*b(m) + 14*x(m). Let i(g) = 0. What is g?
0, 2
Determine r so that -8*r**3 + 4*r**3 + 2*r**4 - 4*r**4 = 0.
-2, 0
Factor 2/3*q**2 + 2/3*q**4 - 4/3 + 2*q**3 - 2*q.
2*(q - 1)*(q