*3 + 0*m**3 + 2*m**2.
2*m**2*(m + 1)
Let o(p) be the third derivative of p**7/140 - p**6/120 - p**5/120 + 16*p**2. Factor o(c).
c**2*(c - 1)*(3*c + 1)/2
Let p = -13 + 15. Let q = 2 - 0. Let 2*x - q*x**3 + 2 + 3*x**4 - p*x**4 - 3 = 0. Calculate x.
-1, 1
Let g(j) be the second derivative of 1/15*j**3 - 4*j + 1/30*j**4 + 0 + 0*j**2. Factor g(w).
2*w*(w + 1)/5
Let r(y) = y**4 - y - 1. Let g(f) = f**2 + 3*f + 1. Let u be g(-3). Let w(c) = -7*c**4 - 3*c**3 + 4*c + 4. Let m(d) = u*w(d) + 4*r(d). Factor m(s).
-3*s**3*(s + 1)
Let g be (-9 + 6)/((-6)/8). Factor 6*i**2 + 5*i**3 + 2*i**5 - 5*i**3 + 2*i**3 - 4*i - 14*i**4 + 8*i**g.
2*i*(i - 2)*(i - 1)**2*(i + 1)
Let n be (-2)/3*3/(-1). Let z be 2 - (n/6 - -1). Determine f, given that -z*f**2 - 4/3*f - 2/3 = 0.
-1
Let h(j) be the second derivative of -2*j + 1/12*j**3 + 0 + 0*j**2 + 1/48*j**4. Factor h(t).
t*(t + 2)/4
Factor 8*q**3 + 2*q**2 + 6*q**4 - 2*q**4 + 0*q**3 + 2*q**2.
4*q**2*(q + 1)**2
Suppose 0*k = 2*k - 6. Suppose a + k*a + p - 19 = 0, -2*a - p = -11. Let 5*q**3 - 9*q**a - 3*q**2 + q**3 + 3*q**3 + q**5 + 2*q**5 = 0. Calculate q.
0, 1
Let x be (-11)/(-33) + (-5)/(-3). Solve 0*v**4 + 6/7*v**3 + 4/7*v**x + 0*v - 2/7*v**5 + 0 = 0.
-1, 0, 2
Let p(b) = 7*b**5 + 42*b**4 + 88*b**3 + 78*b**2 + 27*b - 2. Let x(l) = -l**5 - l**4 + l**3 + l**2 - l + 1. Let u(s) = p(s) + 2*x(s). Factor u(m).
5*m*(m + 1)**3*(m + 5)
Let z(l) be the first derivative of -2/3*l**3 + 5*l - 1 + 7/2*l**2. Let v(f) = -f**2 + 4*f + 3. Let y(a) = -5*v(a) + 3*z(a). Determine p so that y(p) = 0.
0, 1
Let m be ((-90)/(-24) - 4)/(5/(-12)). Factor -6/5*z + 3/5 + m*z**2.
3*(z - 1)**2/5
Suppose -5*d - 2*i + 14 = 0, -d + 4 = -2*d + 3*i. Determine a so that -3 - 2 + 4 + a**d + 0*a**2 = 0.
-1, 1
Let z(d) be the second derivative of 1/5*d**6 + d**2 + 7/10*d**5 + 5*d + 0 + 4/3*d**4 + 1/42*d**7 + 3/2*d**3. What is g in z(g) = 0?
-2, -1
Let o(x) = -2*x**2 + 6*x - 4. Let k(y) = -6*y**2 + 17*y - 11. Let h(t) = 6*k(t) - 17*o(t). Factor h(j).
-2*(j - 1)*(j + 1)
Suppose 2*b + 2*n = 3*b - 15, -3*b - 4*n - 5 = 0. Suppose -9 = 5*g + 6, -g + 17 = b*o. Factor -2/3*c + 0 + 2/3*c**3 - 2/3*c**o + 2/3*c**2.
-2*c*(c - 1)**2*(c + 1)/3
Let k(i) = -2*i**3 + 4*i**2 + 14*i + 8. Let u = 3 + -8. Let p(s) = -s**3 + 3*s**2 + 9*s + 5. Let c(w) = u*k(w) + 8*p(w). Solve c(n) = 0.
-1, 0
Let i(l) be the first derivative of 2*l**5/5 - 9*l**4/4 + 5*l**3 - 11*l**2/2 + 3*l - 9. Solve i(h) = 0 for h.
1, 3/2
Suppose -3*q = -0*q. Let g be (q - 2)*15/(-40). Find r, given that 3/2*r - g*r**2 - 3/4 = 0.
1
Let k(l) = -3*l**2 + 3. Let b(u) = 7*u**2 - u - 6. Let x(m) = -2*b(m) - 5*k(m). Find t such that x(t) = 0.
-3, 1
Let y be 1/1*2 + 10. Let i = 12 - y. Determine l, given that 0 - 1/2*l**4 + 0*l**3 + 1/2*l**2 + i*l = 0.
-1, 0, 1
Let z be (-9 - -16) + -9 - (-13)/5. Determine q, given that 0 + 1/5*q - z*q**2 - 1/5*q**4 + 3/5*q**3 = 0.
0, 1
Let d(w) be the first derivative of w**6/150 + w**5/100 - 4*w + 5. Let q(c) be the first derivative of d(c). Factor q(t).
t**3*(t + 1)/5
Suppose 4*l**4 + l**2 + 4*l - 11*l**2 - 4*l**3 + 8 + 2*l**2 - 4*l**2 = 0. What is l?
-1, 1, 2
Let t = -185 + 185. Factor 0*j + 2/3*j**2 + t.
2*j**2/3
Let n(b) be the first derivative of -2*b**6/3 + 28*b**5/5 - 19*b**4 + 100*b**3/3 - 32*b**2 + 16*b - 14. Find a such that n(a) = 0.
1, 2
Let m be (-8)/(-10)*18/(-24). Let s = m + 17/20. Factor 1/2*y + 0 - s*y**2 - 1/4*y**3.
-y*(y - 1)*(y + 2)/4
Suppose q - 4*q = 0. Let t(b) be the third derivative of 0 + 1/12*b**4 + 2*b**2 + 1/15*b**5 + 1/60*b**6 + 0*b + q*b**3. Suppose t(d) = 0. Calculate d.
-1, 0
Let c = -27 - -33. Let y(i) be the third derivative of 0*i**3 + i**2 + 0*i + 1/60*i**c + 1/12*i**4 + 1/15*i**5 + 0. Determine f, given that y(f) = 0.
-1, 0
Determine d so that 15*d**2 - 1 + 2 - 6*d**3 - 15*d + 4 + d**3 = 0.
1
Let h = 735 + -732. Factor 3/5*n**4 + h*n**2 + 12/5*n**3 + 6/5*n + 0.
3*n*(n + 1)**2*(n + 2)/5
Let s(g) = -g**2 + 5*g - 1. Let w(d) be the second derivative of d**4/4 - 5*d**3/3 + 3*d**2/2 + 2*d. Let t(p) = 14*s(p) + 6*w(p). Find f such that t(f) = 0.
-2, -1/2
Suppose 0 = 43*q - 40*q. Factor -2/9*j**3 + 2/9*j**2 + 0 + q*j.
-2*j**2*(j - 1)/9
Let j = -658/5 - -132. Suppose -j*z**2 + 2/5 + 2/5*z - 2/5*z**3 = 0. What is z?
-1, 1
Let 2/15*z**5 - 4/15*z**2 + 0*z + 0 + 2/3*z**3 - 8/15*z**4 = 0. What is z?
0, 1, 2
Let x(l) be the first derivative of -l**6/660 - l**5/330 + l**4/132 + l**3/33 + 4*l**2 - 1. Let r(d) be the second derivative of x(d). Factor r(p).
-2*(p - 1)*(p + 1)**2/11
Let h(f) be the second derivative of -f**7/525 + f**6/300 + f**5/150 - f**4/60 - f**2/2 - 3*f. Let i(w) be the first derivative of h(w). What is k in i(k) = 0?
-1, 0, 1
Let a(n) = -n**2 + n + 70. Let m be a(0). Let l be (-2 - 0)/(m/(-10)). Solve 0*r**2 + l*r**3 + 0*r + 0 = 0 for r.
0
Let s = -9 - -14. Let f(j) be the second derivative of 0 - j + 1/42*j**7 + 1/30*j**6 - 1/10*j**s + 1/2*j**2 - 1/6*j**4 + 1/6*j**3. Find t, given that f(t) = 0.
-1, 1
Let i(p) be the third derivative of -p**6/420 + p**5/70 - p**4/28 + p**3/21 - 3*p**2. Determine g so that i(g) = 0.
1
Let k(v) = -12*v**3 + 12*v**2 - 3*v. Let j(x) = -x**4 - x. Let s(w) = 3*j(w) - k(w). Determine i so that s(i) = 0.
0, 2
Suppose -2*d - 5*d = -35. Let k(z) be the second derivative of 0*z**3 + 1/30*z**4 - z + 1/75*z**6 + 0*z**2 - 1/25*z**d + 0. Solve k(t) = 0.
0, 1
Let a(n) = -3*n**4 - 11*n**3 - 32*n**2 - 44*n - 24. Let l(o) = 10*o**4 + 34*o**3 + 97*o**2 + 132*o + 72. Let i(k) = -7*a(k) - 2*l(k). Factor i(f).
(f + 2)**3*(f + 3)
Factor 0 - 2*f**3 - 10/7*f**4 - 2/7*f**5 - 6/7*f**2 + 0*f.
-2*f**2*(f + 1)**2*(f + 3)/7
Let v(a) be the first derivative of -a**3 - 3*a**2 + 9*a + 24. Factor v(f).
-3*(f - 1)*(f + 3)
Let m(s) = s**3 - 3*s**2 + 2*s - 1. Let i be m(3). Suppose i*y + 25 = 0, 2*o - 2*y = 2*y + 24. Factor 2/7 + 0*k - 2/7*k**o.
-2*(k - 1)*(k + 1)/7
Suppose 4 = 3*k - k. Suppose 0 = -0*n + k*n - 4. Solve v**3 - v**n + 3*v - 1 - 2*v**2 + 0 = 0.
1
Solve -2 + 3 + 0*q + 3 - 2*q - 2*q**2 = 0.
-2, 1
Let v be (-1 - 7)*(-3)/(-3). Let m = -8 - v. What is q in -1/2*q**2 + 0 - 1/4*q + m*q**3 + 1/2*q**4 + 1/4*q**5 = 0?
-1, 0, 1
Suppose 2*u = -6 - 4. Let a(g) = -2*g**4 - 12*g**2 - 2. Let q(l) = -l**4 - 8*l**2 - 1. Let v(x) = u*a(x) + 8*q(x). Let v(c) = 0. What is c?
-1, 1
Let 0*o**4 + 1/3*o**5 + 0*o**2 + 0*o - 1/3*o**3 + 0 = 0. Calculate o.
-1, 0, 1
Let q be 1 + ((-9)/(-6))/(-3). Let g = 10/9 - 11/18. What is i in i - g - q*i**2 = 0?
1
Let s(u) be the third derivative of 0*u**3 + 0*u + 0 + 1/330*u**6 - u**2 - 1/1155*u**7 - 1/330*u**5 + 0*u**4. Suppose s(i) = 0. Calculate i.
0, 1
Let g(b) be the third derivative of b**5/120 - b**4/48 - b**3/6 + 7*b**2. Factor g(n).
(n - 2)*(n + 1)/2
Let v = 173/528 + 1/176. What is q in v - 1/3*q**2 + 0*q = 0?
-1, 1
Let o = 8780/143 + -672/11. What is q in 14/13*q**3 - 10/13*q**2 + 0 - o*q = 0?
-2/7, 0, 1
Factor -2*c**2 + 2*c**2 - 3 - 4*c + 4*c**2 - 5*c**2.
-(c + 1)*(c + 3)
Let x = 0 - -12. Factor 4*o + 5*o + 5*o**3 + 15*o**2 - 14*o**3 - x + 3*o.
-3*(o - 2)*(o + 1)*(3*o - 2)
Let l(s) be the first derivative of -4 + s - 4/5*s**5 - 5/2*s**2 + 5/4*s**4 + s**3. Determine a so that l(a) = 0.
-1, 1/4, 1
Let b = 3 + -6. Let x be (2 + (1 - 3))/b. Determine r, given that 0*r + x*r + r - r**3 = 0.
-1, 0, 1
Let d(w) = -13*w**4 - 32*w**3 - 19*w**2 + 5*w. Let t(c) = -19*c**4 - 48*c**3 - 29*c**2 + 7*c. Let y(j) = 7*d(j) - 5*t(j). Factor y(f).
4*f**2*(f + 1)*(f + 3)
Suppose -37 = -33*l + 62. Find n, given that 16/7 - 4/7*n**2 - 2/7*n**l + 8/7*n = 0.
-2, 2
Let k be (50/175)/((-2)/(-4)). Factor k*c + 2/7 + 2/7*c**2.
2*(c + 1)**2/7
Let u(l) be the first derivative of -l**5/5 - 3*l**4/4 - l**3 - l**2/2 + 10. Factor u(i).
-i*(i + 1)**3
Factor 125*z**3 - 625*z**4 - 260*z + 93*z**2 + 91 - 51 + 357*z**2.
-5*(z + 1)*(5*z - 2)**3
Let d(j) be the second derivative of -7*j**5/240 - 3*j**4/32 - j**3/12 - 7*j**2/2 + 6*j. Let r(l) be the first derivative of d(l). Factor r(g).
-(g + 1)*(7*g + 2)/4
Let u(r) = 20*r - 1. Let a be u(2). Let o = a - 39. Factor 0*t**2 + 2/3*t**3 + o - 7/3*t**4 - 3*t**5 + 0*t.
-t**3*(t + 1)*(9*t - 2)/3
Let t(x) be the second derivative of x**7/3780 - x**5/180 - x**4/4 - x. Let r(u) be the third derivative of t(u). What is p in r(p) = 0?
-1, 1
Let l be 68/10 - (-1)/5. Let k = -5 + l. Factor k*o - 2 - o**2 + 2.
-o*