*s**f - 4 - 10*s**3 - 2*s = 0. What is s?
-2/5, 1
Let i = 14 - 12. Factor 1 + 0*j**2 - 5*j**i + j**2 + 3*j**2.
-(j - 1)*(j + 1)
Factor -48*m**4 + 84*m**3 + 39/4*m - 45*m**2 - 3/4.
-3*(m - 1)*(4*m - 1)**3/4
Let m = 48 - 95/2. Let n(d) be the second derivative of m*d**2 - 1/20*d**5 + 1/4*d**4 - 1/2*d**3 + 0 - d. Factor n(i).
-(i - 1)**3
Let l(m) be the third derivative of m**5/30 - 2*m**4/3 + 16*m**3/3 + 15*m**2. Factor l(d).
2*(d - 4)**2
Let n = -4 - -8. Suppose 5 = 2*f + 5*r, -r + 5 = 4*f + n*r. Determine x so that 2/5*x + 12/5*x**2 + 16/5*x**3 + f = 0.
-1/2, -1/4, 0
Let v(q) be the first derivative of -3 - 1/54*q**4 - 2/27*q**3 + 3*q + 0*q**2. Let d(w) be the first derivative of v(w). Suppose d(l) = 0. What is l?
-2, 0
Let w be -11 + 13 - 16/10. Factor 0*d**2 + w*d**3 - 2/5*d + 0.
2*d*(d - 1)*(d + 1)/5
Let p(v) be the third derivative of v**5/240 - 5*v**4/48 + 25*v**3/24 + 27*v**2. Solve p(u) = 0 for u.
5
Let t(q) be the second derivative of q**4/12 + 5*q**3/6 + 3*q**2/2 - 8*q. Let d be t(-5). What is n in 0 - 1/4*n**d + 1/4*n + 1/4*n**2 - 1/4*n**4 = 0?
-1, 0, 1
Let q(s) = 4*s**4 - 8*s**3 + 10*s. Suppose h + 10 = -g, -1 = 5*g + 3*h + 49. Let x(l) = -9*l**4 + 17*l**3 - 21*l. Let c(u) = g*q(u) - 4*x(u). Factor c(w).
-4*w*(w - 2)**2*(w + 1)
Suppose -2*k = -0*k. Suppose -i = -k*i. What is r in 1/2*r + 1/2*r**2 + i = 0?
-1, 0
Let f be ((-2244)/560 + 4)/(-3). Let l(c) be the third derivative of 0*c**3 + f*c**6 + 0*c**4 - 3*c**2 + 0 + 0*c - 1/105*c**5. Determine x so that l(x) = 0.
0, 2
Let j(w) be the second derivative of 1/60*w**5 + 1/3*w**2 + 6*w - 1/6*w**3 + 0*w**4 + 0. Determine o, given that j(o) = 0.
-2, 1
Let n be (-7 - 1)*1/(-2). Solve -40/9*g - 8/9*g**n - 40/9*g**3 - 22/3*g**2 - 8/9 = 0.
-2, -1/2
Suppose 5*d = t + 40, -d - 3*t + 8*t - 16 = 0. Let f be 6*1*3/d. Let f*g**3 + 4*g**5 + 2*g**3 + 11*g**5 - 18*g**4 - g**5 = 0. What is g?
0, 2/7, 1
Let f(c) be the second derivative of -c**5/10 - c**4/3 + c**3/3 + 2*c**2 + 4*c. Factor f(q).
-2*(q - 1)*(q + 1)*(q + 2)
Let k(v) be the second derivative of v**9/3780 - v**7/630 + 2*v**4/3 + 4*v. Let m(d) be the third derivative of k(d). What is l in m(l) = 0?
-1, 0, 1
Let y(r) be the third derivative of -4*r**2 + 0*r + 0*r**3 - 1/450*r**5 + 0*r**4 + 0. Factor y(n).
-2*n**2/15
Let x(d) be the first derivative of 20*d**3/3 - 14*d**2 + 8*d + 6. Factor x(b).
4*(b - 1)*(5*b - 2)
Factor -1/3*y**2 - 1/3 - 2/3*y.
-(y + 1)**2/3
Let g = 0 + -11. Let z be g/(-2) + (-2)/4. Let 2*q - 6*q**5 + 4*q**4 - 4*q**2 + 2*q**5 + 2*q**z = 0. What is q?
-1, 0, 1
Suppose -5 = -v - 2. Let o(z) = -z**4 + 4*z**3 + 3*z**2 - 3. Let n(j) = j**3 + j**2 - 1. Let x(m) = v*n(m) - o(m). Let x(g) = 0. What is g?
0, 1
Let o(b) = b**2 + 23. Let x(f) = -f**2 + 2*f - 1. Let m(w) = 2*o(w) + 6*x(w). Solve m(g) = 0.
-2, 5
Let a(r) be the third derivative of r**6/150 + r**5/50 - r**4/20 - 2*r**3/15 + 7*r**2. Factor a(g).
2*(g - 1)*(g + 2)*(2*g + 1)/5
Let y(g) be the second derivative of 1/60*g**4 + 2/15*g**3 + 3*g + 0 + 2/5*g**2. Factor y(f).
(f + 2)**2/5
Let t be ((-51)/68)/(-3*(-3)/(-6)). Factor -t*m**3 + 1/2*m**4 + 0 - 1/2*m**2 + 1/2*m.
m*(m - 1)**2*(m + 1)/2
Suppose 4*a - 3*c + 6 = 0, -5*a - 3*c - 2 = -4*c. Suppose 3*r + a*r = 6. Factor -1/2*h**3 - 1/2 - 3/2*h - 3/2*h**r.
-(h + 1)**3/2
Let n(d) = 4*d**2 - 17*d. Let r(a) be the first derivative of -a**3/3 + 2*a**2 + 1. Let l(s) = -4*n(s) - 18*r(s). Let l(p) = 0. Calculate p.
0, 2
Let h(n) be the second derivative of -n**10/10080 - n**9/2520 - n**8/2240 + n**4/3 - 4*n. Let r(y) be the third derivative of h(y). Factor r(g).
-3*g**3*(g + 1)**2
Let m(r) be the first derivative of r**3/3 - r**2/2 + 2. Factor m(q).
q*(q - 1)
Let t(p) = 7*p**3 + 3*p**2 - 9*p - 5. Let s(m) = -3*m**3 - m**2 + 4*m + 2. Let a(d) = -5*s(d) - 2*t(d). Factor a(z).
z*(z - 2)*(z + 1)
Let 39 + 13*u**2 - 6*u**4 + 2*u**3 + u**2 - 47 - 2*u**5 = 0. Calculate u.
-2, -1, 1
Suppose -9*s - 5*w = -14*s - 5, w + 5 = 4*s. Factor 1/8*k - 1/8*k**s + 1/4.
-(k - 2)*(k + 1)/8
Let r = -8 + 12. Solve -10 + 10 + 27*t + 9*t**r + 33*t**3 + 45*t**2 + 6 = 0.
-1, -2/3
Determine f so that 0 - 2/7*f - 8/7*f**3 + 10/7*f**2 = 0.
0, 1/4, 1
Let z be (6/(-56))/((-10)/80). Solve -3/7*v**3 + 0 + 0*v + z*v**2 = 0.
0, 2
Let q = -82 + 571/7. Let b = 1/7 - q. Determine i so that -b*i + 0 - 2*i**3 - 18/7*i**2 = 0.
-1, -2/7, 0
Let i be ((-3)/(-1))/(-3) + 4. Let j(s) be the second derivative of 0 + 3*s + 1/6*s**2 + 1/9*s**i + 1/36*s**4. Factor j(c).
(c + 1)**2/3
Factor 13*q**2 + 15*q**2 + 4*q**2 - 4 - 8*q - 20*q**2.
4*(q - 1)*(3*q + 1)
Let y(w) = -w**2 + w - 4. Let m(z) = -z - 11. Let a be m(-8). Let v(g) = g - 1. Let j(i) = a*v(i) + y(i). Factor j(k).
-(k + 1)**2
Suppose 7*b + 24 = 11*b. Let x(t) be the first derivative of -1/15*t**b - 64/5*t - 32/3*t**3 - 16*t**2 - 4*t**4 + 1 - 4/5*t**5. Solve x(s) = 0.
-2
Let c(h) = -h**2 + 1. Let f(n) = -n + 2. Let l be f(0). Let j(y) = -2*y**l - 4*y + 2 + 4*y. Let z(x) = -5*c(x) + 3*j(x). Factor z(i).
-(i - 1)*(i + 1)
Let z(x) = 4*x**2 + 15*x. Let a be z(-4). Factor -2/11*k**2 + 0*k - 2/11*k**3 + 0 + 2/11*k**5 + 2/11*k**a.
2*k**2*(k - 1)*(k + 1)**2/11
Let q(p) = -p**2 + 5*p + 8. Let j(t) = -4*t**2 + 26*t + 40. Suppose -56 = 4*k - 4*w, -4*w - 28 = 2*k - 2*w. Let h(m) = k*q(m) + 3*j(m). Factor h(n).
2*(n + 2)**2
Let b(x) = -x**3 - 9*x**2 - 9*x - 4. Let w be b(-8). Let d be (-1)/(-7) + 54/14. Let 7*l**3 - 4*l + 15*l**d + 0*l - w*l**2 - 17*l**4 = 0. Calculate l.
-1/2, 0, 2
Factor 3*p + p**2 + 5*p**3 - 22*p**4 - p**3 - 7*p + 21*p**4.
-p*(p - 4)*(p - 1)*(p + 1)
Solve 3*r**3 - 3*r**3 - 5*r - 2 - r**3 - 8*r**2 + 4*r**2 = 0.
-2, -1
Let x = -86 + 345/4. Let z(r) be the third derivative of 0*r - 3/2*r**3 + r**2 - 1/60*r**5 - x*r**4 + 0. Factor z(w).
-(w + 3)**2
Let t(j) be the third derivative of 1/12*j**4 - 3/70*j**5 + 1/84*j**6 - 5*j**2 - 1/735*j**7 + 0*j - 2/21*j**3 + 0. Factor t(p).
-2*(p - 2)*(p - 1)**3/7
Let h(i) be the first derivative of 1/7*i**2 - 1 + 0*i - 2/7*i**3 + 3/14*i**4 - 2/35*i**5. Determine m, given that h(m) = 0.
0, 1
Let l(x) = -4*x**4 + 2*x**3 - 7*x**2 - 5*x - 7. Let m(i) = i**4 - i**3 + 2*i**2 + 2*i + 2. Let o(s) = -2*l(s) - 7*m(s). Factor o(f).
f*(f - 1)*(f + 2)**2
Let n(k) be the first derivative of -k**4/12 - k**3/9 + 5*k**2/6 - k - 34. What is g in n(g) = 0?
-3, 1
Let m = -36 - -38. Factor 2/9*k + 2/3*k**m + 0.
2*k*(3*k + 1)/9
Let k(n) be the second derivative of n**5/30 + n**4/6 + n**3/3 + 3*n**2/2 + n. Let d(q) be the first derivative of k(q). Factor d(v).
2*(v + 1)**2
Let y(s) = -9 + 0 + 3*s - s. Let c be y(7). Find b such that c*b**2 - 3*b**3 + 4 + 4*b + 4*b + 4*b**3 = 0.
-2, -1
Suppose -2*j + 9*j = 0. Let d(s) be the second derivative of 3*s + 0 + j*s**2 - 1/6*s**4 - 2/3*s**3. Determine a so that d(a) = 0.
-2, 0
Let t be 6 + -7 - -5 - (-142)/(-36). Let x(j) be the third derivative of 0*j - t*j**3 + j**2 + 1/360*j**5 + 1/144*j**4 + 0. Factor x(i).
(i - 1)*(i + 2)/6
Suppose 0*x + 5*x = -3*i + 31, 5*x - 21 = 2*i. Let l be (-4 + 6 - 2)*2/(-8). Determine d so that l + 6/5*d**4 - 2/5*d**5 + 2/5*d**i - 6/5*d**3 + 0*d = 0.
0, 1
Let y(j) be the third derivative of j**5/120 - j**4/16 - 3*j**2. What is i in y(i) = 0?
0, 3
Suppose -3*c - 6*c + 27 = 0. Let j(s) be the first derivative of 0*s**2 - 1/12*s**6 + 1/10*s**5 + 0*s + 0*s**4 + 0*s**c + 2. Factor j(y).
-y**4*(y - 1)/2
Let k(c) = -7*c - 5*c**2 + 6*c + c**4 + 4*c**3 - 3*c + c**4. Let m(p) = 2*p**4 + 4*p**3 - 6*p**2 - 4*p. Let d(b) = -4*k(b) + 3*m(b). Factor d(r).
-2*r*(r - 1)*(r + 1)*(r + 2)
Let r(b) be the first derivative of -b**6/10 + 9*b**5/25 - 3*b**4/10 + 5. Factor r(v).
-3*v**3*(v - 2)*(v - 1)/5
Let v(u) = u**3 - u + 1. Let h(t) = -3*t**3 + 7*t**2 + 10*t - 6. Let n(w) = -h(w) - 4*v(w). Let c be n(-6). Determine q so that 0 - c*q**2 - 5 + 4*q + 3 = 0.
1
Let o = -21 - -56. Let w = o + -103/3. Let -1/3 + w*v - 1/3*v**2 = 0. What is v?
1
Let u(h) be the first derivative of 2*h**3/21 - h**2/7 - 4*h/7 + 11. Determine f so that u(f) = 0.
-1, 2
Suppose 4*q = -q. Let o(m) be the second derivative of 0 - m + 1/50*m**5 + 0*m**2 - 1/30*m**4 + q*m**3. Factor o(h).
2*h**2*(h - 1)/5
Factor 6*c**4 + 20*c**3 - 5*c - 39*c**2 - 8 + 53*c**2 - 3*c.
2*(c + 1)**2*(c + 2)*(3*c - 2)
Solve 4*p**2 - 2*p**2 + 6 - 4*p - p**2 - 3 = 0.
1, 3
Let s(k) be the first derivative of -5*k**6/