 -k**l + 0*k**2 + 2*k**2 + 3 - 2 - 2*k = 0.
1
Let i be (140/(-455))/(-1 - 3/(-9)). Factor i*w**3 + 6/13*w**2 + 2/13*w**4 + 0 + 2/13*w.
2*w*(w + 1)**3/13
Suppose 4*k + 5*i - 142 = 3*k, 586 = 4*k + 2*i. Let z = k + -437/3. Let -4/3*g + 1/3*g**2 + z = 0. What is g?
2
Let p(d) = d**2 - 17*d + 32. Let z be p(15). Factor -4/3 + 2*t**2 + 4/3*t**3 - z*t.
2*(t - 1)*(t + 2)*(2*t + 1)/3
Factor 0*c + 0 + 0*c**2 + 16/7*c**3 - 4/7*c**4.
-4*c**3*(c - 4)/7
Let v(t) = t + 5. Let d be v(-5). Let m(b) be the third derivative of -1/30*b**4 - 7/300*b**6 + 3*b**2 + 0*b**3 + 0*b + 3/50*b**5 + d. Factor m(o).
-2*o*(o - 1)*(7*o - 2)/5
Let w(z) = z**3 + 6*z**2 + 3*z - 6. Let u be w(-5). Factor 2 - 8*a + 12*a**2 - 4*a + 2 - u*a**3.
-4*(a - 1)**3
Let h(i) = 0 + 8*i**2 + 20*i + 2 - 13*i - 12*i. Let r(s) = s**2 - s + 1. Let n(z) = h(z) - 5*r(z). Suppose n(o) = 0. Calculate o.
-1, 1
Let t(h) be the second derivative of h**7/2940 - h**6/210 + h**5/35 - 2*h**4/21 - h**3/2 + 2*h. Let s(q) be the second derivative of t(q). Factor s(w).
2*(w - 2)**3/7
Let y(z) be the first derivative of 1/22*z**4 + 0*z**2 + 0*z + 2/33*z**3 + 1. Suppose y(u) = 0. Calculate u.
-1, 0
Let j be (32/(-8))/(2/(-3)). What is m in -6*m + j*m - 3*m**3 - 3*m**4 = 0?
-1, 0
Suppose 0 = -3*y + 5*y. Suppose 2*z - 2 = z. Let 1/3*g**z + 1/3*g**3 + y*g + 0 = 0. What is g?
-1, 0
Let y(s) = 8*s**3 - 6*s**2 - 6*s - 4. Let d(o) = o**3 - o**2. Let a(f) = f**2 - 2*f - 6. Let h be a(0). Let m(g) = h*d(g) + y(g). Factor m(w).
2*(w - 2)*(w + 1)**2
Find l such that -1/3*l**5 + 1/3*l + 2/3*l**4 + 0 + 0*l**3 - 2/3*l**2 = 0.
-1, 0, 1
Let j(v) = -v. Let n(s) be the second derivative of -s**4/12 - s**3/3 - 2*s. Let c = 7 + -11. Let o(i) = c*j(i) + n(i). Factor o(k).
-k*(k - 2)
Suppose -2*i - 2*x - 2*x = -20, i = 2*x - 2. Factor -3*y**2 + y**3 + 2 - 1 + 0*y - y + 3*y**i - y**4.
(y - 1)*(y + 1)**2*(2*y - 1)
Let h(p) = -p**2 + 8*p - 3. Let q be h(5). Factor -q*w**4 + 18*w**3 + 6*w - 2*w + 0*w - 12*w**2 - w + 3*w**5.
3*w*(w - 1)**4
Let v(y) be the first derivative of -14*y**3 - 3*y**4 - 6*y + 48/5*y**5 + 6 + 33/2*y**2 - 7/2*y**6. Determine f so that v(f) = 0.
-1, 2/7, 1
Let l(d) be the third derivative of -7*d**6/360 - d**5/90 + 7*d**4/72 + d**3/9 - 23*d**2. Factor l(a).
-(a - 1)*(a + 1)*(7*a + 2)/3
Let k(q) be the third derivative of -q**6/80 + 11*q**5/120 + 19*q**4/48 + 5*q**3/12 + 2*q**2. Determine l, given that k(l) = 0.
-1, -1/3, 5
Let b = 14 + -8. Factor -c + 2*c**3 + 2 + b*c**2 + 7*c + 0*c**3.
2*(c + 1)**3
Let x(u) = -2*u**3 + 29*u**2 + 16*u - 12. Let m be x(15). Solve 0 - 1/4*v**m + 1/2*v + 1/4*v**2 = 0.
-1, 0, 2
Factor -i**3 - 1/6*i**4 - 4/3*i**2 + 3/2 + i.
-(i - 1)*(i + 1)*(i + 3)**2/6
Let a(o) be the third derivative of -1/1176*o**8 + 0*o**7 + 0*o**6 - o**2 + 0*o**4 + 0 + 0*o**5 + 0*o**3 + 0*o. Factor a(f).
-2*f**5/7
Suppose 0 = 3*y - 4*y + 4. Suppose y*w - 6*w = 0. Factor 4*i**3 - 2 + w*i**4 + 0*i**3 + 2*i**4 - 4*i.
2*(i - 1)*(i + 1)**3
Let q be -8 - 4/(-2)*1. Let g = 4 - q. Solve 2*u**2 + 10 - g = 0.
0
Let s = 125 + -120. What is i in -4/3*i**4 + 2/3 + 5/3*i - 1/3*i**s - 4/3*i**3 + 2/3*i**2 = 0?
-2, -1, 1
Let p(l) be the first derivative of -10 + 2*l**3 - 2*l - 8/5*l**5 - 2*l**4 + 2*l**2. Suppose p(x) = 0. Calculate x.
-1, 1/2
Let k(p) be the first derivative of -2/5*p**5 + 2/3*p**3 + 0*p - p**2 + 1/2*p**4 - 8. Factor k(r).
-2*r*(r - 1)**2*(r + 1)
Factor 0 - 8/3*f**3 + 8/3*f**2 + 2/3*f**4 + 0*f.
2*f**2*(f - 2)**2/3
Suppose -2*z - 7*z = -18. Factor 0 - m**z - 1/4*m.
-m*(4*m + 1)/4
Let p(h) be the third derivative of 27*h**8/56 + 6*h**7/5 + 13*h**6/60 - 14*h**5/15 + h**4/3 - 7*h**2. Factor p(q).
2*q*(q + 1)**2*(9*q - 2)**2
Let o(d) be the second derivative of d**4/36 - 5*d**3/18 + 2*d**2/3 + 14*d. Factor o(v).
(v - 4)*(v - 1)/3
Let n(l) be the second derivative of l**4/48 - l**3/12 + l**2/8 - 6*l. Factor n(d).
(d - 1)**2/4
Let y(a) = -540*a**3 + 468*a**2 - 118*a + 12. Let z(f) = -180*f**3 + 156*f**2 - 39*f + 4. Let o(t) = -5*y(t) + 14*z(t). Factor o(k).
4*(3*k - 1)**2*(5*k - 1)
Let g(w) = -7*w**2 + 17*w - 12. Let y(n) = 50*n**2 - 120*n + 85. Let k(i) = -15*g(i) - 2*y(i). Find o such that k(o) = 0.
1, 2
Let l(v) be the first derivative of 5*v**4/4 + 20*v**3 + 120*v**2 + 320*v - 2. Factor l(p).
5*(p + 4)**3
Suppose -2 - 1 = -i. Factor 4*j**3 - 17*j**5 - 2*j**2 + j**i + 16*j**5 - 4*j**3 + 2*j**4.
-j**2*(j - 2)*(j - 1)*(j + 1)
Suppose 3*z = 6*z - u - 20, 5*z - 20 = -u. Determine b, given that -2*b**3 + 30*b**3 - 18*b**5 - 8*b**2 + 26*b**z - 28*b**4 = 0.
0, 1/2, 1, 2
Let o(m) be the third derivative of 0*m + 0*m**3 + 1/48*m**4 + 2*m**2 - 1/105*m**7 + 0 + 1/30*m**5 - 1/240*m**6. Let o(p) = 0. What is p?
-1, -1/4, 0, 1
Let z be -1 + 4 - 22/10. Let t = -8/5 + 2. Solve -t*p**4 + 0*p + 0*p**3 - 2/5 + z*p**2 = 0.
-1, 1
Let l(o) be the first derivative of 2*o**5/35 + o**4/7 - 2*o**2/7 - 2*o/7 - 10. Factor l(d).
2*(d - 1)*(d + 1)**3/7
Let w(g) = -g**3 - g. Let d(f) be the third derivative of f**6/60 - f**5/60 + f**4/6 + f**3/6 + f**2. Let q(a) = -2*d(a) - 6*w(a). Factor q(b).
2*(b - 1)*(b + 1)**2
Suppose 3*j - 2*n - 10 = 0, -2*n + 4 = -0*j + 4*j. Let h be -2 + -1 + 2 + 3. Factor -3*u**2 + 6*u + h + j + 0*u**2 + 5*u**2.
2*(u + 1)*(u + 2)
Suppose -4/7*p**4 + 4/7*p**3 - 2/7*p**5 - 4/7 + 8/7*p**2 - 2/7*p = 0. Calculate p.
-2, -1, 1
Let b(p) be the first derivative of -p**4/4 + 8*p**3/3 + 4*p**2 + 11*p + 3. Let w be b(9). Let w*k - k**2 - 3*k**2 - k**3 + 3*k**3 = 0. What is k?
0, 1
Let j(g) = 8*g**3 - 73*g**2 + 242*g + 3. Let a(o) = 65*o**3 - 585*o**2 + 1935*o + 25. Let i(d) = 3*a(d) - 25*j(d). Solve i(w) = 0.
0, 7
Factor -11/4*v - 1/4*v**3 - 7/4*v**2 - 5/4.
-(v + 1)**2*(v + 5)/4
Find t such that -1 - 2*t**2 + t**4 - 13 + 15 = 0.
-1, 1
Let i(q) be the second derivative of -4*q + 1/2*q**4 - 3/10*q**6 + 6*q**3 - 5/4*q**5 - 4*q**2 + 0. Factor i(p).
-(p - 1)*(p + 2)**2*(9*p - 2)
Let h(k) = 2*k**2 - k - 3. Suppose -n - n + 6 = 0. Let v be h(n). Suppose 10*a**2 + 20*a**3 + 2 + 10*a**2 + 6*a**4 + v*a + 4*a**2 = 0. What is a?
-1, -1/3
Let v = -15 - -21. Let 5*f**3 - 2 + f**3 - 4*f**3 - v*f**2 + 6*f = 0. Calculate f.
1
Let m be 0/17*(-2)/(-4). Let g(r) be the first derivative of 1 + 1/3*r**4 + m*r**2 + 1/9*r**3 + 0*r. Factor g(b).
b**2*(4*b + 1)/3
Let w(i) be the third derivative of -i**7/2520 - i**6/180 - i**5/40 - i**4/12 - 4*i**2. Let g(y) be the second derivative of w(y). Let g(s) = 0. What is s?
-3, -1
Let j = 0 - -2. Let w be j + (3 - 2) + 0. Suppose w*t + 8*t**2 - 5*t - 19*t**3 + 8*t**4 + 7*t**3 - 2*t**5 + 0*t**5 = 0. Calculate t.
0, 1
Let n(m) = m**2 - 6*m + 7. Let a be n(5). Let b = 1007/630 - -1/630. Find t, given that 56/5*t**4 + 0 - b*t**3 + 0*t + 0*t**a - 98/5*t**5 = 0.
0, 2/7
Let w be (-2)/(-2) + (-1 - -3). Suppose o - 8 = -w*o. Determine i, given that 2*i - 3*i**3 + 2 + 0*i**3 - o*i**2 + i**3 = 0.
-1, 1
Let a(i) be the third derivative of -i**6/60 - i**5/30 + 44*i**2. Factor a(f).
-2*f**2*(f + 1)
Let h = 24 - 15. Let r = h + -7. Factor 0 + 0*t + 2/7*t**r.
2*t**2/7
Let j = 49 + -1322/27. Let t(s) be the third derivative of 4/27*s**3 + j*s**4 + 0 - 2*s**2 + 1/270*s**5 + 0*s. Factor t(f).
2*(f + 2)**2/9
Let v = 4 + -1. Find f such that 2*f**2 - 7*f**2 + 6*f + v*f**3 - 4*f = 0.
0, 2/3, 1
Let 25/4*j**3 + 1 + 6*j + 45/4*j**2 = 0. Calculate j.
-1, -2/5
Suppose -4*m + 14 = 2*i, -14 = -3*i - 5*m + 5. Factor -2/5*o**4 + 2/5*o + 0 + 2/5*o**2 - 2/5*o**i.
-2*o*(o - 1)*(o + 1)**2/5
Let n = 42 + -30. Let a be 1/((-1)/3*-1). Solve 0*b**4 + 2*b**4 + 4*b - n*b - 10*b**a + 16*b**2 = 0 for b.
0, 1, 2
Find b such that -4*b - b**3 + 0*b**3 + 3*b**3 + 3*b**2 - b**2 = 0.
-2, 0, 1
Suppose -4*y - 4 = -16. Let g(z) = z**3 + z**2 + 15. Let o be g(0). Let 15*b**2 - o*b**2 + y*b**3 - 3*b = 0. What is b?
-1, 0, 1
Let j(l) = -8*l + 40. Let x be j(5). Let m(d) be the second derivative of -4*d - 1/15*d**4 + 1/75*d**6 + 0*d**3 + x + 1/5*d**2 + 0*d**5. Factor m(o).
2*(o - 1)**2*(o + 1)**2/5
Suppose 2*f + 3*p - 4 = 0, 4*f + 3*p + 4 - 12 = 0. Suppose -3*v**3 + 27*v**f + 8 - v**4 + 8*v**3 - 4*v + 0*v**4 - 33*v**2 = 0. Calculate v.
-1, 2
Let q(w) = w**3 - 4*w**2 - 6*w + 7. Let l be q(5). Solve 4/5*f - 2/5 - 2/5*f**l = 0 for f.
1
Let y(h) be the third derivative of -h**9/272160 + h**7/22680 + h**5/15 - 3*h**2. Let f(p) be the third derivative of y(p). Suppose f(n) = 0