r g(h).
-2*h*(h + 1)**2*(h + 2)
Factor -92/15*r + 6 + 2/15*r**2.
2*(r - 45)*(r - 1)/15
Let t(s) be the first derivative of -s**5/10 - s**4/3 + s**3/3 + 2*s**2 - 10*s - 7. Let w(x) be the first derivative of t(x). Solve w(q) = 0.
-2, -1, 1
Let c(o) = o**3 + 7*o**2 + 5. Let z be (92/(-24) + (-4)/(-12))*2. Let l be c(z). Solve 7/2*g**2 - l*g**5 + 31/2*g**4 - 31/2*g**3 + 5/2*g - 1 = 0 for g.
-2/5, 1/2, 1
Let v(d) = d**3 + 5*d**2 + 2*d + 3. Let r be v(-4). Suppose -r = -4*y - 3. Find m such that -8*m - 3*m**3 - 4*m**y + 0*m**3 + 2*m**3 + 4*m = 0.
-2, 0
Suppose -4*n - 66 + 13 = 3*g, -5*n = 4*g + 67. Let m be 2*(-3 - -2)*n/33. Factor -m*j + 2/3*j**2 + 2/9 - 2/9*j**3.
-2*(j - 1)**3/9
Let i(w) be the first derivative of -w**4/8 - 11*w**3/6 + 7*w**2/2 + 12*w - 318. Factor i(z).
-(z - 2)*(z + 1)*(z + 12)/2
Let i(y) be the second derivative of 7*y**5/12 - 115*y**4/36 + 5*y**3/3 + y + 73. Factor i(r).
5*r*(r - 3)*(7*r - 2)/3
Let v(r) be the second derivative of r**4/6 - 7*r**3 + 54*r**2 + 9*r - 9. Factor v(c).
2*(c - 18)*(c - 3)
Let r(l) be the first derivative of -1/3*l**3 - 1/2*l**2 - 1 - 1/12*l**4 + 3*l. Let f(s) be the first derivative of r(s). Factor f(n).
-(n + 1)**2
Let z(o) be the second derivative of -o**5/5 - 11*o**4/3 - 80*o**3/3 - 96*o**2 + 17*o + 3. Determine c so that z(c) = 0.
-4, -3
Let i(x) be the second derivative of 1/49*x**7 + 0*x**2 - 1/21*x**4 + 0 + x + 1/21*x**3 + 2/105*x**6 - 2/35*x**5. Solve i(y) = 0.
-1, 0, 1/3, 1
Factor -62*g**3 - 61*g**3 - 18*g**3 + 130*g**2 + 65*g**2 - 21*g**2 - 48*g + 15*g**4.
3*g*(g - 8)*(g - 1)*(5*g - 2)
Solve 5/6*n + 19/6*n**3 - 7/2*n**2 + 1/3 - 5/6*n**4 = 0.
-1/5, 1, 2
Suppose -2*n = 40*n - 35 - 49. What is w in 72/11*w + 216/11 + 6/11*w**n = 0?
-6
Let o(z) be the second derivative of -z**9/3024 + z**8/840 - z**6/180 + z**5/120 + 13*z**3/6 - 26*z. Let f(l) be the second derivative of o(l). Factor f(d).
-d*(d - 1)**3*(d + 1)
Suppose j + 11 = 2*g, -3*g - 9 = -4*j - 43. Factor 1/5*l**g + 81/5 + 18/5*l.
(l + 9)**2/5
Find d, given that -3/4*d**3 - 9*d + 5*d**2 + 4 = 0.
2/3, 2, 4
Find j, given that -18*j**2 - 168568*j**3 - 6*j**2 + 33*j + 54 + 168565*j**3 = 0.
-9, -1, 2
Let q(z) = -7*z**4 - 2*z**3 + 4*z - 7. Let p(c) = -5*c**4 - 2*c**3 + c**2 + 4*c - 6. Let o(y) = 3*p(y) - 2*q(y). Factor o(g).
-(g - 1)**2*(g + 2)**2
Let l be (-3718)/(-2275) - -3*4/150. Determine g so that 2*g + l - 6/7*g**2 + 2/7*g**4 - 6/7*g**3 = 0.
-1, 2, 3
Let z(a) = 20*a**2 - 100*a + 30. Let g(t) = 41*t**2 - 202*t + 61. Let x(j) = -6*g(j) + 13*z(j). Suppose x(p) = 0. Calculate p.
2/7, 6
Let x(h) = 14*h**3 + 224*h**2 - 5*h - 77. Let a be x(-16). Factor 6/11*c + 2/11*c**a - 18/11 + 10/11*c**2.
2*(c - 1)*(c + 3)**2/11
Let f be (-1 + 2)/((-8)/(-152)). Solve s**2 + 13 - 39 + f + 6*s = 0 for s.
-7, 1
Let c(f) = 5*f**3 + 71*f**2 - 6. Let a(i) = -i**2 + 1. Let r(w) = 6*a(w) + c(w). Factor r(n).
5*n**2*(n + 13)
Let s be (-10 - -4) + 7 - (-5 + 6). Let u(x) be the third derivative of -8*x**2 + 0*x**3 + 0 - 1/40*x**6 - 1/4*x**4 + 3/20*x**5 + s*x. Let u(v) = 0. What is v?
0, 1, 2
Let p(h) = -76*h**4 - 208*h**3 - 88*h**2 + 144*h + 68. Let b(d) = 7*d**4 + 19*d**3 + 8*d**2 - 13*d - 6. Let l(m) = -32*b(m) - 3*p(m). Let l(k) = 0. Calculate k.
-3, -1, 1
Suppose -j = -4*w - 2*j - 63, -5*w = 5*j + 90. Let t = 17 + w. Factor -q**3 - 15*q**t - 20*q**3 + 4*q + 5*q - 3*q.
-3*q*(q + 1)*(7*q - 2)
Suppose 4573*t = 4569*t. Suppose 1/6*n**5 + t*n**4 + 0*n**2 - 1/6*n**3 + 0*n + 0 = 0. Calculate n.
-1, 0, 1
Suppose 3*a = 7*a - 20. Suppose a*o = -3*t - 2 + 27, -3*o - 2*t + 16 = 0. Factor -v**5 - o*v**5 - 4*v + v**2 + 3 + 6*v**3 + 3*v**4 - 7*v**2 + v.
-3*(v - 1)**3*(v + 1)**2
Suppose 43 = 9*p + 412. Let b = p - -46. Suppose -4/5*q + 0 + 2*q**b - 6/5*q**3 + 14/5*q**2 - 14/5*q**4 = 0. Calculate q.
-1, 0, 2/5, 1
Let j(c) be the second derivative of c**4/36 + c**3 - 20*c**2/3 + 14*c - 5. Factor j(f).
(f - 2)*(f + 20)/3
Let f(g) be the second derivative of g**5/4 + 5*g**4/12 - 55*g**3/2 + 315*g**2/2 + 2*g - 14. Factor f(m).
5*(m - 3)**2*(m + 7)
Find v, given that -26/9*v - 10/3 + 2/3*v**2 + 2/9*v**3 = 0.
-5, -1, 3
Determine p, given that 2/15*p**2 + 2904/5 - 88/5*p = 0.
66
Suppose -h**4 - 126*h**5 + 6*h**2 + 125*h**5 - 6*h**2 = 0. What is h?
-1, 0
Let k(g) be the second derivative of g**5/660 - g**4/132 + 16*g**2 + 12*g. Let a(p) be the first derivative of k(p). Factor a(t).
t*(t - 2)/11
Let s(h) be the first derivative of -4*h**3/3 - 34*h**2 + 72*h - 109. Let s(y) = 0. Calculate y.
-18, 1
Factor o - 12*o**2 + 3*o**3 + 31 - 15*o**2 - 4*o**3 - 4*o**2.
-(o - 1)*(o + 1)*(o + 31)
Suppose -5*j + 66 = 2*w, -20 = -j - 2*w - 2. Factor -2346*q**2 - 3*q + 2351*q**2 - j*q.
5*q*(q - 3)
Let s be (-5)/(-25)*5*(2 + 2). Factor -17*y**4 + 101*y**2 + 45*y**3 - 9*y**s - y**4 + 3*y**5 - 26*y**2.
3*y**2*(y - 5)**2*(y + 1)
Factor -18/11 + 128/11*y**3 - 224/11*y**2 + 114/11*y.
2*(y - 1)*(8*y - 3)**2/11
Let s be 24/(-18) + (-28)/(-21). Suppose -1/3*q**5 + q**2 + s + 0*q - 7/3*q**3 + 5/3*q**4 = 0. Calculate q.
0, 1, 3
Let r be (-119)/3213*(-36)/8. Determine y so that r*y**3 - 3/2*y**2 + 25/6 + 5/2*y = 0.
-1, 5
Let v be (129/(-344))/(1/(-4)). Find m such that 3/4*m - v + 3/4*m**2 = 0.
-2, 1
Let s = 11 + -9. Suppose 0 = o - 3*o + s*f + 14, -20 = 5*f. Find h, given that h**2 - h**4 + 2*h**5 + h**3 - o*h**5 - 3*h**5 + 3*h**5 = 0.
-1, 0, 1
Factor 0 + 3/2*t**2 + 3/4*t**5 - 3/2*t**4 + 0*t**3 - 3/4*t.
3*t*(t - 1)**3*(t + 1)/4
Let d = 200 + -197. Let j(w) be the second derivative of -3/8*w**d + 0 + 0*w**4 - 3/4*w**2 + 4*w + 3/80*w**5. Factor j(s).
3*(s - 2)*(s + 1)**2/4
Let k be 80/16*(-6)/(-10). Let g(o) be the second derivative of -9*o + 0 + 1/42*o**k + 1/7*o**2 - 1/84*o**4. Suppose g(p) = 0. Calculate p.
-1, 2
Let g be (6 - 5)/((-7)/4 - -2). Suppose 0 = -4*j - g*i, 5*j - 8 = 2*i - 5*i. Solve 0 + 2/3*w + j*w**5 + 5/3*w**2 - 5/3*w**4 - 14/3*w**3 = 0 for w.
-1, -1/4, 0, 2/3, 1
Find o such that 0 - 16/5*o**2 + 1/5*o**3 + 64/5*o = 0.
0, 8
Let t = 650/129 - 16/43. Let c be 2 - ((-6)/(-9) - 0). Factor 0 + 6*z**2 - c*z - t*z**3.
-2*z*(z - 1)*(7*z - 2)/3
Let y(u) = -3*u**2 - 15*u - 8. Let i(q) = -q**2 - 1. Let x(b) = -2*i(b) - y(b). Factor x(c).
5*(c + 1)*(c + 2)
Let u(k) = 13*k**3 + 20*k**2 - 23*k. Let y(d) = d**3 + 2*d**2 - d. Let n(p) = 2*u(p) - 22*y(p). Factor n(o).
4*o*(o - 3)*(o + 2)
Solve 3/7*i**3 + 15/7*i**2 - 3/7*i**4 + 0 + 9/7*i = 0 for i.
-1, 0, 3
Let b(o) be the third derivative of o**7/2205 - o**6/1260 - o**5/126 - o**4/84 + 131*o**2. Factor b(f).
2*f*(f - 3)*(f + 1)**2/21
Factor -41*x - 92 - 2*x**2 - 2*x**2 - 145 + 197 + 13*x.
-4*(x + 2)*(x + 5)
Suppose 4/3*s**5 + 0*s**3 + 0*s**2 + 0 + 68/3*s**4 + 0*s = 0. What is s?
-17, 0
Let u(w) = -w**3 + 28*w**2 - 49*w - 74. Let s be u(26). Determine c so that -7/2*c**3 + 1/2 - 7/2*c**2 - 4*c**5 + 9*c**s + 3/2*c = 0.
-1/2, -1/4, 1
Let l = 2/19 - -8/285. Let y(c) be the first derivative of 5 - l*c**3 + 1/10*c**2 + 1/20*c**4 + 0*c. Solve y(s) = 0.
0, 1
Factor -81*w**2 + 25*w**3 + 32*w**3 - 380*w - 360 - 29*w**2 + 27*w**3 - 89*w**3.
-5*(w + 2)**2*(w + 18)
Suppose -5*x - 3*a + 19 = 0, -4*x = -x + 5*a - 5. Factor -4*i**3 - 14*i**5 - 5 - 27*i**4 + 9*i**4 + x.
-2*i**3*(i + 1)*(7*i + 2)
Let v(c) be the first derivative of -c**6/240 - c**5/16 - 3*c**4/8 - 26*c**3/3 - 14. Let j(m) be the third derivative of v(m). Factor j(l).
-3*(l + 2)*(l + 3)/2
Suppose 5*h + 232 = 4*x + 2*h, 4*x - 224 = h. Let j be 1/(-9)*(-11)/(x/30). Factor -4/3 - j*q**2 + 2*q.
-2*(q - 2)*(q - 1)/3
Let p = -19 + 22. Suppose 0 = -5*n + 5*g - 0 + 30, -p*g = -5*n + 22. Find o, given that -4/3*o**3 + 4/3*o**2 - 2*o**4 + 2/3 - 2/3*o**5 + n*o = 0.
-1, 1
Let h(v) be the third derivative of v**5/210 + 3*v**4/14 + 24*v**3/7 - 39*v**2. Solve h(m) = 0 for m.
-12, -6
Let v(g) = -g**2 + 58*g + 5562. Let n be v(-51). Suppose -3/4*t**4 - t**n + 1/2*t + 5/4*t**2 + 0 = 0. Calculate t.
-2, -1/3, 0, 1
Let y(t) = 6*t**4 + 10*t**3 + 12*t**2 + 4*t. Suppose 6*p - 3*p = 6. Let g(b) = -7*b**4 - 9*b**3 - 12*b**2 - 4*b. Let q(k) = p*g(k) + 3*y(k). Factor q(o).
4*o*(o + 1)**3
Let z(c) = -9*c**3 - 26*c**2 + 8*c + 27. Let x(t) = -2*t**4 - t**3 + 3. Let j(m) = x(m) - z(m). Determine s so that j(s) = 0.
-2, -1, 1, 6
Let c(s) be the third derivative of 1/84*s**4 + 0*s + 0*s**3 - 1/735*s**7 + 1/210*s**5 - 5*s**2 - 1/420*s**6 + 0. Fact