2*b + m*b**2 - 4.
-(b + 1)**2
Factor -13 - 19 - 14*b**2 + 1 + 7 - 2*b**3 - 32*b.
-2*(b + 2)**2*(b + 3)
Let v(n) be the third derivative of n**8/1512 - n**7/945 - n**6/540 + n**5/270 + 8*n**2. Factor v(f).
2*f**2*(f - 1)**2*(f + 1)/9
Let l be 0 + 0 + 1 + (-84)/108. Factor -4/9*o + l*o**2 + 2/9.
2*(o - 1)**2/9
Suppose -10 = -4*v + 2. Factor m + 2*m**2 + 2*m**3 - 4*m + v*m.
2*m**2*(m + 1)
Let j(u) be the third derivative of 1/4*u**4 - 7/10*u**6 - 1/20*u**5 - u**2 + 0*u + 0 + 0*u**3. Solve j(w) = 0.
-2/7, 0, 1/4
Let j be 4/((-24)/15) - -3. Factor 0 - j*k**4 + 0*k**2 - 3/2*k**3 + 2*k.
-k*(k - 1)*(k + 2)**2/2
Let o(p) be the first derivative of 4*p**7/735 + 2*p**6/315 + p**5/420 - p**3/3 - 7. Let q(x) be the third derivative of o(x). Let q(i) = 0. Calculate i.
-1/4, 0
Suppose -24/7 - 381/7*q**3 - 108/7*q**4 - 234/7*q**2 + 180/7*q = 0. What is q?
-2, 2/9, 1/4
Let p(y) be the second derivative of 0 + 1/3*y**2 + 0*y**3 + 1/45*y**6 - 3*y + 0*y**5 - 1/9*y**4. Determine g so that p(g) = 0.
-1, 1
Let o(r) = 2*r**3 + r**2 - 4*r. Let n(j) = 14*j**3 + 8*j**2 - 28*j. Let z be ((-88)/16)/((-2)/16). Let t(q) = z*o(q) - 6*n(q). Find h such that t(h) = 0.
-1, 0, 2
Let 16/5 + 2/5*l**2 + 12/5*l = 0. Calculate l.
-4, -2
Suppose 0 = -13*p + 10*p + 54. Suppose p*o = 13*o. Let -3*d**2 - 3/4*d + o - 9/4*d**3 = 0. Calculate d.
-1, -1/3, 0
Let v(i) be the third derivative of -i**6/1620 - i**5/270 + 2*i**3/3 - 3*i**2. Let q(z) be the first derivative of v(z). Factor q(n).
-2*n*(n + 2)/9
Suppose 9*m - 8*m - 2 = 0. Let q(o) be the second derivative of -1/6*o**m + 1/9*o**3 - 1/36*o**4 + 0 + o. Suppose q(h) = 0. Calculate h.
1
Suppose -29*n + 30*n - 4*m + 9 = 0, -2*n + m + 3 = 0. Determine x, given that 0*x**n + 1/2*x - 3/4*x**2 + 0 + 1/4*x**4 = 0.
-2, 0, 1
Let a be (-35)/(-14)*8/10. Let y be (-11)/(-4) - 1/(-4). Factor 4*n**3 - a*n**3 + 0*n**y.
2*n**3
Let u(i) be the first derivative of i**3/3 - 3*i**2/2 + 7. Solve u(j) = 0.
0, 3
Let p = 7 + -19/3. Let q(b) be the second derivative of 0 + 4/15*b**6 + p*b**4 - 1/3*b**3 + 0*b**2 - 3/5*b**5 + 2*b - 1/21*b**7. What is s in q(s) = 0?
0, 1
Suppose 0 + 2/7*s**4 - 4/7*s**5 + 8/7*s**3 - 6/7*s**2 + 0*s = 0. What is s?
-3/2, 0, 1
Let y(t) be the first derivative of 2*t**2 + 6*t - 2/3*t**3 + 5. What is s in y(s) = 0?
-1, 3
Let v(n) be the first derivative of 0*n + 4/3*n**3 + 1/6*n**6 + 4/5*n**5 + 3/2*n**4 + 1 + 1/2*n**2. Determine h so that v(h) = 0.
-1, 0
Suppose 3*m - 339 = 144. Let v = -1767/11 + m. Factor 2/11*o**2 - v*o + 0.
2*o*(o - 2)/11
Let n(s) = -s**3 - 2*s**2 - s - 2. Suppose -4*y + 6 = i, -12 = 2*i + 3*i - y. Let f be n(i). What is m in 1/3*m**2 + f + 1/3*m = 0?
-1, 0
Let w(k) be the third derivative of -1/48*k**4 + 0*k**3 - 1/480*k**6 + 1/80*k**5 + 0*k + 5*k**2 + 0. Factor w(l).
-l*(l - 2)*(l - 1)/4
Factor s**2 + 10 - 5*s**2 + 6.
-4*(s - 2)*(s + 2)
Let i(t) be the first derivative of -t**6/40 - 3*t**5/40 + t**3/4 + 3*t**2/8 - t - 6. Let c(r) be the first derivative of i(r). Factor c(u).
-3*(u - 1)*(u + 1)**3/4
Let w(g) be the second derivative of -5*g**4/6 + 8*g**3/3 + 4*g**2 + 12*g. Factor w(d).
-2*(d - 2)*(5*d + 2)
Let y(i) be the first derivative of i**6/1980 + i**5/220 + i**4/66 + 2*i**3/3 - 2. Let h(n) be the third derivative of y(n). Factor h(w).
2*(w + 1)*(w + 2)/11
Let l be 1/(-3 - (-75)/24). Let k = l - 8. Let 0*z**3 + 2/3*z**4 + 0 + 0*z + k*z**2 + 2/3*z**5 = 0. What is z?
-1, 0
Let j(q) = -8*q**4 + 14*q**3 - 4*q**2 - 6*q + 2. Let p(h) = h**4 - h**2 + 1. Let m(b) = -j(b) - 2*p(b). Suppose m(f) = 0. Calculate f.
-2/3, 1
Let c be 28/45 + 10/(-45). Factor 0*r**3 - c*r**2 + 0 + 2/5*r**4 + 0*r.
2*r**2*(r - 1)*(r + 1)/5
Let n(d) be the third derivative of d**6/60 - 2*d**5/15 + 5*d**4/12 - 2*d**3/3 + 3*d**2. Factor n(z).
2*(z - 2)*(z - 1)**2
Suppose 0 = 6*j - 8*j + 10. Factor 5 - 3*v**5 - 52*v**4 - j - 4 + 15*v**5 + 88*v**3 - 72*v**2 + 28*v.
4*(v - 1)**4*(3*v - 1)
Let m(y) be the second derivative of -1/42*y**4 + 0 + 0*y**2 + 1/21*y**3 + y. Factor m(g).
-2*g*(g - 1)/7
Let s(y) = -y**3 - 8*y**2 - 6*y + 1. Let n(r) = r**2 + r. Let g(k) = -35*n(k) - 5*s(k). Let g(j) = 0. What is j?
-1, 1
Let c(x) = -x**4 - 14*x**3 - 17*x**2 - 4*x - 2. Let d(s) = -15*s**3 - 18*s**2 - 3*s - 3. Let a(y) = -3*c(y) + 2*d(y). Factor a(p).
3*p*(p + 1)**2*(p + 2)
Let d(z) be the first derivative of 0*z**2 - 1 + 1/90*z**5 - 1/45*z**6 + 0*z**3 + 1/27*z**4 - z. Let h(b) be the first derivative of d(b). Factor h(q).
-2*q**2*(q - 1)*(3*q + 2)/9
Factor 36*o**4 + 46*o + 28*o**2 + 40*o - 82*o + 57*o**3.
o*(3*o + 2)**2*(4*o + 1)
Let o(d) be the second derivative of 1/540*d**6 + 0*d**2 + 0*d**4 + 1/3*d**3 + 0*d**5 + 0 - 2*d. Let g(b) be the second derivative of o(b). Factor g(s).
2*s**2/3
Let n = 4 + 0. Let u = -9 - -13. Let -2*v**4 + 4*v**u - 5*v**5 - v**3 + n*v**5 = 0. What is v?
0, 1
Factor 7/3*w**5 + 0*w + 4*w**4 + w**3 - 2/3*w**2 + 0.
w**2*(w + 1)**2*(7*w - 2)/3
Suppose p + 1 = 7. Let c(z) be the third derivative of z**3/6 + z**2. Let t(g) = -2*g**3 + 6*g**2 - 6*g - 4. Let j(q) = p*c(q) + t(q). Factor j(l).
-2*(l - 1)**3
Let r(l) be the first derivative of 3*l + 3*l**2 + 1 + 8*l**3 - 7*l**3 + 1. Factor r(h).
3*(h + 1)**2
Suppose 6*j - 10 = j. Find g, given that -g**4 + g**2 + 2*g**4 - g**3 - 2*g**j + g = 0.
-1, 0, 1
Let t(z) = z**2 - 20*z + 19. Let h be t(19). Solve 0*x**2 + 2/9*x**5 + 0*x - 2/9*x**4 + 0*x**3 + h = 0.
0, 1
Suppose -6/5*p**2 + 6/5*p - 2/5 + 2/5*p**3 = 0. What is p?
1
Suppose 0*i + i + 4*f = 18, -3*i - 4*f + 22 = 0. Let a be 0/3 - 2/(-4). Factor 0 + a*g + 1/2*g**i.
g*(g + 1)/2
Let y be (-1 - -1)*(-21 - -20). Suppose 20 = -r + 4*z, -r = -y*r - z + 5. Factor -2/9*o**2 + 2/9 + r*o.
-2*(o - 1)*(o + 1)/9
Let o = -103/4 - -26. Let i be ((4/12)/(4/(-6)))/(-1). Solve -o*r**3 + i*r**2 - 1/4*r + 0 = 0.
0, 1
Let u be (-34)/(-14)*1 + -2. What is p in -9/7*p**3 + 0 + u*p**4 - 3/7*p + 9/7*p**2 = 0?
0, 1
Factor 2/5*q**2 - 28/5 - 26/5*q.
2*(q - 14)*(q + 1)/5
Let f(c) be the second derivative of c**4/6 - c**3/3 - 2*c**2 - 3*c. Factor f(j).
2*(j - 2)*(j + 1)
Let m(o) = o + 10. Let t be m(-8). Let 7 + 6*p - 5 + 0*p**3 - 6 - t*p**3 = 0. What is p?
-2, 1
Let s be ((-156)/273)/(2/(-7)). Let 0*l**s + 1/3*l**3 - 2/3 - l = 0. What is l?
-1, 2
Let t(z) = 20*z**2 - 8. Let g(x) = x**2 + 9 - 9. Let m(a) = 36*g(a) - 2*t(a). Suppose m(l) = 0. Calculate l.
-2, 2
Let r(k) be the first derivative of 0*k**3 + 0*k - 1/22*k**4 + 0*k**2 - 2/55*k**5 - 6. Determine h, given that r(h) = 0.
-1, 0
Let s(i) be the first derivative of -2*i**3 + i**2 + 4*i + 13. Factor s(k).
-2*(k - 1)*(3*k + 2)
Let y(n) be the second derivative of n**5/60 + n**4/24 + 3*n**2/2 - 2*n. Let t(h) be the first derivative of y(h). Factor t(b).
b*(b + 1)
Let b(l) = l**2 + 20*l + 53. Let w be b(-17). Factor -4/5 + 2/5*o + 2/5*o**w.
2*(o - 1)*(o + 2)/5
What is k in -11*k**3 + 25*k + k**5 + 32*k**3 + 40*k**2 - 15*k**3 - 8*k**4 = 0?
-1, 0, 5
Let d(h) be the first derivative of h**4 + 8*h**3/3 - 8*h**2 - 32*h - 12. Factor d(w).
4*(w - 2)*(w + 2)**2
Let q(v) be the third derivative of v**6/480 + 11*v**5/240 + 19*v**4/96 + 3*v**3/8 + 46*v**2. Let q(d) = 0. Calculate d.
-9, -1
Let d be 3 + ((-209)/105 - 1). Let c(t) be the second derivative of 0*t**2 - t - 1/42*t**4 + 1/21*t**3 + d*t**6 + 0 - 1/70*t**5. Factor c(b).
2*b*(b - 1)**2*(b + 1)/7
Let v be (-1)/(-5)*(0 - -2). What is p in -v*p**2 + 2/5*p**3 + 2/5*p**4 + 0 - 2/5*p = 0?
-1, 0, 1
Find k such that -3 - 3 + 35*k - 47*k + 20*k**2 - 2 = 0.
-2/5, 1
Let x(s) be the first derivative of s**3/3 - 4*s - 2. Suppose x(n) = 0. What is n?
-2, 2
Suppose 0 = -2*u + 3 + 3. What is a in 2/3*a**2 - 4/3*a**u + 2/3*a + 0 = 0?
-1/2, 0, 1
Let i = -9 - -12. Suppose -i*f**2 - 4 + 1 + 3*f + 7 + 2 = 0. What is f?
-1, 2
Let k be (75/350)/((-3)/(-16)). Factor k - 8/7*v + 2/7*v**2.
2*(v - 2)**2/7
Let w be 2 + 35/(-7) + (-44)/(-12). Factor -a - w - 1/3*a**2.
-(a + 1)*(a + 2)/3
Let u = 925 + -925. Factor 3/7*q**2 + 0*q + u.
3*q**2/7
Let a(g) be the third derivative of g**9/37800 - g**8/10080 - g**7/1800 + g**6/900 + g**5/60 - 2*g**2. Let t(n) be the third derivative of a(n). Factor t(r).
2*(r - 2)*(r + 1)*(4*r - 1)/5
Let x(w) be the first derivative of -w**7/672 + w**6/180 - w**5/480 - w**4/48 + w**3 + 3. Let o(s) be the third derivative of x(s). Factor o(j).
-(j - 1)**2*(5*j + 2)/4
Let 