(w - 2)*(w - 1)/4
Let c(z) be the third derivative of 0 - 1/36*z**4 - 1/180*z**5 + 3*z**2 + 0*z - 1/18*z**3. What is b in c(b) = 0?
-1
Let m(o) be the third derivative of o**8/840 - o**7/420 - o**6/180 + o**5/60 - o**3/2 - 4*o**2. Let u(w) be the first derivative of m(w). Solve u(d) = 0.
-1, 0, 1
Let b be (-3)/(1 - (-10)/(-4)). Find q, given that 0*q**2 + 2*q**b + 2 - 4 = 0.
-1, 1
Let w(c) = 2*c + 0*c + c**2 + 0*c**2 - 3*c + 1. Let n(v) = 2*v. Let l(s) = 3*n(s) + 2*w(s). Factor l(r).
2*(r + 1)**2
Let i(g) = g**3 - 18*g**2 + 16*g + 17. Let f be i(17). Let s(a) be the third derivative of f*a - 2*a**2 + 0 - 1/4*a**4 - 1/30*a**5 - 2/3*a**3. Factor s(w).
-2*(w + 1)*(w + 2)
Suppose 4 = 4*d + 2*w, -d + w - 2*w = 1. Let q(a) be the second derivative of 0 - 1/15*a**6 + a**2 - 2/3*a**d + 2*a + 0*a**4 + 1/5*a**5. Factor q(b).
-2*(b - 1)**3*(b + 1)
Let g(c) be the third derivative of -c**5/360 + c**4/36 - c**3/12 + 5*c**2. Factor g(k).
-(k - 3)*(k - 1)/6
Let h(c) = -c**2 + 6*c + 3. Let l be h(6). Let -3*i - 13 + 13 - l*i**2 = 0. Calculate i.
-1, 0
Let x = -463/30 - -95/6. Suppose -2/5 - x*v**3 + 2/5*v**2 + 2/5*v = 0. What is v?
-1, 1
Let l(s) be the second derivative of -s**6/60 + s**5/20 - s**4/24 + 8*s. Find b, given that l(b) = 0.
0, 1
Let g be -1 + -26 - (1 - 4). Let d = 122/5 + g. Solve 6/5*b**3 + 0 - 4/5*b - d*b**2 = 0 for b.
-2/3, 0, 1
Let k be (1 - -1) + -1 + 1. Determine z so that k*z**3 + 8*z + 0*z**3 + 4*z**4 - 10*z**3 - 4 = 0.
-1, 1
Let b(g) = g**2 - g. Let h(p) = -p**3 + p**2 - 2*p + 2. Let q(m) = 6*b(m) - 2*h(m). Factor q(t).
2*(t - 1)*(t + 1)*(t + 2)
Let m(o) be the third derivative of -1/60*o**5 - 1/3*o**3 - o**2 + 0*o + 0 - 1/8*o**4. Find v, given that m(v) = 0.
-2, -1
Let n = 198 - 193. Let h(g) be the third derivative of -1/12*g**3 - 1/120*g**n + 0*g + 4*g**2 + 0 + 1/24*g**4. Factor h(t).
-(t - 1)**2/2
Let r(z) = -65*z**3 + 330*z**2 - 285*z + 155. Let v(i) = -3*i**3 + 15*i**2 - 13*i + 7. Let f(d) = 2*r(d) - 45*v(d). Factor f(u).
5*(u - 1)**3
Let z(r) = 2*r**4 + 6*r**3 - 2*r**2 - 6*r. Let f(t) = -4*t**4 - 13*t**3 + 4*t**2 + 13*t. Let u(g) = -6*f(g) - 13*z(g). What is j in u(j) = 0?
-1, 0, 1
Find m such that -15*m**2 + 2*m**3 - 3*m**3 + 2*m + 16*m**2 = 0.
-1, 0, 2
Let t(c) be the first derivative of 4*c**2 - 3 + 7/2*c**4 - 32/3*c**3 + 0*c. Factor t(u).
2*u*(u - 2)*(7*u - 2)
Let y(s) be the third derivative of -s**7/42 + s**6/8 - s**5/6 + 35*s**2. Let y(m) = 0. Calculate m.
0, 1, 2
Let z(f) = 2*f + 6. Let t(h) = -1. Let s(g) = -4*t(g) - z(g). Let d be s(-3). Suppose d*u**3 - 2*u**4 + 3*u**2 + 2 - 4*u - 3*u**2 = 0. Calculate u.
-1, 1
Let c(j) be the third derivative of j**5/150 - j**4/20 - 4*j**3/15 - 14*j**2. Factor c(z).
2*(z - 4)*(z + 1)/5
Suppose -x = x - 2*h + 2, 19 = x + 4*h. Suppose 3*n - 58 + x*n**2 + 58 = 0. Calculate n.
-1, 0
Let t(u) = -5*u**2 + 10*u + 19. Let z(i) = -3*i**2 + 7*i + 13. Let p(v) = 5*t(v) - 8*z(v). Factor p(o).
-(o + 3)**2
Let j(m) be the first derivative of m**6/27 + 4*m**5/15 + 5*m**4/18 + 36. Determine n so that j(n) = 0.
-5, -1, 0
Let l = 343/234 + -15/26. Let c be (1/(-12))/((-3)/8). Determine a so that -c*a**5 - 4/3*a**3 - 8/9*a**2 - 2/9*a - l*a**4 + 0 = 0.
-1, 0
Solve 33/7*q**2 + 51/7*q**4 + 6/7*q + 0 + 9*q**3 + 15/7*q**5 = 0.
-1, -2/5, 0
Suppose 8*b - 3*b - 30 = 0. Suppose -f + 2*f + 4*y - 18 = 0, 3*y = 12. Let 6*m**4 + 2*m**4 + 2*m**3 - b*m**4 - 2*m - 2*m**f = 0. What is m?
-1, 0, 1
Let h(y) be the first derivative of -y**4/14 + 3*y**2/7 + 4*y/7 + 12. Factor h(j).
-2*(j - 2)*(j + 1)**2/7
Let o = 1 + -1. Let n be o/3 + 1/5. Find i such that -2/5 - n*i + 1/5*i**2 = 0.
-1, 2
Let i = 137 - 403/3. Suppose -2*j + 3*g = -12, -4*g - 1 - 7 = 0. Solve 0*x - 8/3*x**j - i*x**2 + 0 - 2/3*x**4 = 0.
-2, 0
Let s(p) = p + 9. Let w be (10/(-4) + -1)*2. Let b be s(w). Factor b*u**3 + 2 - 2*u**5 - 2.
-2*u**3*(u - 1)*(u + 1)
Factor -4/9*r**2 + 0 + 1/9*r**3 + 1/3*r.
r*(r - 3)*(r - 1)/9
What is n in 0 - 1/4*n**5 + 0*n - n**3 - n**4 + 0*n**2 = 0?
-2, 0
Let 202/3*y**3 - 80/3*y - 30*y**4 + 14*y**2 - 8 - 50/3*y**5 = 0. Calculate y.
-3, -2/5, 1
Let z(b) be the second derivative of 2*b**7/105 - 4*b**6/75 - 3*b**5/25 + 4*b**4/15 + 8*b**3/15 - 2*b. Suppose z(f) = 0. What is f?
-1, 0, 2
Let z(h) = -h**2 - h. Let p(j) = -j + 1. Let d be p(0). Let y(a) = a**3 + 2*a**2 - a - 2. Let m(t) = d*y(t) + 2*z(t). Factor m(k).
(k - 2)*(k + 1)**2
Let f be ((-77)/(-22))/((-2)/12). Let a be (-16)/f - (-6)/9. Factor -18/7*w**3 + 4/7*w + 0 + 26/7*w**4 - a*w**5 - 2/7*w**2.
-2*w*(w - 1)**3*(5*w + 2)/7
Suppose 13*t - 6 - 34*t + 24*t + 3*t**2 = 0. What is t?
-2, 1
Suppose r - 2*r = 0. Let y(k) = -8*k + r - 3 + 5*k**2 - 2*k. Let h(x) = x**3 - 16*x**2 + 29*x + 8. Let l(c) = 4*h(c) + 11*y(c). Factor l(m).
(m - 1)**2*(4*m - 1)
Let n be (-8)/(-2)*20/16. Determine f, given that n*f**2 + 4 - 5*f - f**3 - 2 - f**2 = 0.
1, 2
Let x(q) = 10*q**4 - 54*q**3 - 6*q**2 + 134*q + 76. Let h(z) = -27*z - 2*z**3 - 2*z**4 + 1 - 9 + 13*z**3 + z**2 - 7. Let o(m) = -14*h(m) - 3*x(m). Factor o(v).
-2*(v - 3)**2*(v + 1)**2
Let c = -101/14 - -15/2. Factor -c*x**5 - 4/7*x**4 + 0*x**3 + 0*x**2 + 0 + 0*x.
-2*x**4*(x + 2)/7
Let p(i) be the first derivative of -i**7/2100 + i**6/450 - i**5/300 - 2*i**3/3 + 1. Let q(g) be the third derivative of p(g). What is j in q(j) = 0?
0, 1
Suppose 0 - 1/9*c**2 + 2/9*c = 0. What is c?
0, 2
Let n = -65 - -197/3. Let p(j) be the first derivative of -n*j**3 - 8*j - 4*j**2 - 3. Suppose p(g) = 0. What is g?
-2
Suppose -z + 2*n - 2 = 0, 4*z + 2 + 0 = 5*n. Let a = 94 - 280/3. Factor 0*m - 2/3 + a*m**z.
2*(m - 1)*(m + 1)/3
Let d(i) = i**4 + 2*i**3 - 13*i**2 + i - 3. Let c(n) = -4*n**4 - 10*n**3 + 66*n**2 - 4*n + 16. Let l(t) = 3*c(t) + 16*d(t). Factor l(h).
2*h*(h - 1)*(h + 2)*(2*h - 1)
Let y(a) be the third derivative of -2*a**7/105 + a**6/30 + 8*a**2. Determine k, given that y(k) = 0.
0, 1
Let h(p) be the second derivative of p**6/75 - p**5/25 + 2*p**3/15 - p**2/5 + 4*p. Factor h(j).
2*(j - 1)**3*(j + 1)/5
Let x = 4259/9 - 473. Suppose 0*j + x - 2/9*j**2 = 0. What is j?
-1, 1
Let v(l) be the third derivative of -l**7/1680 + l**6/720 - l**3/3 + 3*l**2. Let p(r) be the first derivative of v(r). Find c such that p(c) = 0.
0, 1
Let p(o) = 5*o**2 + 66*o + 13. Let m be p(-13). Let 2/5*g**2 + 4/5*g + m = 0. What is g?
-2, 0
Suppose -2*c + 13 = -j, 2*j = -c - 3*c + 14. Let l be (3/2)/(j/(-6)). Factor -12/5*k + 24/5 - 18/5*k**2 - 3/5*k**4 + l*k**3.
-3*(k - 2)**3*(k + 1)/5
Let r be 55/180 + (-16)/(-36). Solve -1/2 - 1/4*z**2 + r*z = 0 for z.
1, 2
Let w be (2 - 3) + (-80)/(-75). Let y(m) be the second derivative of -1/25*m**5 - w*m**4 + 0 + 1/105*m**7 + 1/5*m**2 + 1/75*m**6 + 1/15*m**3 + 2*m. Factor y(c).
2*(c - 1)**2*(c + 1)**3/5
Let u(s) be the first derivative of 3*s**5/5 + 7*s**4/4 - 11*s**3 + 33*s**2/2 - 10*s - 12. Determine q so that u(q) = 0.
-5, 2/3, 1
Let z(s) be the first derivative of -1/11*s**2 + 0*s - 1/33*s**6 + 8/33*s**3 + 3 - 3/11*s**4 + 8/55*s**5. Suppose z(u) = 0. Calculate u.
0, 1
Let g(d) be the first derivative of 1/70*d**5 + d + 2/7*d**2 + 5/21*d**3 - 3 + 2/21*d**4. Let n(p) be the first derivative of g(p). Suppose n(a) = 0. What is a?
-2, -1
Let b(c) = 10*c**2 + 14*c + 8. Let g(y) = 31*y**2 + 42*y + 25. Let i(l) = 14*b(l) - 4*g(l). Solve i(k) = 0.
-1, -3/4
Let q be (6/(-15))/((-2)/10). Let n be (-2 - q)/((-15)/3). Find b, given that n + 2/5*b - 2/5*b**2 = 0.
-1, 2
Let w(o) be the second derivative of o**4/3 - 10*o**3/3 + 8*o**2 - 30*o. Suppose w(j) = 0. What is j?
1, 4
Let l(r) be the third derivative of r**6/180 + r**5/20 + r**4/6 - r**3/6 + 2*r**2. Let v(q) be the first derivative of l(q). Factor v(s).
2*(s + 1)*(s + 2)
Find p such that -2/5*p**2 - 8/5 + 8/5*p = 0.
2
Let q(u) be the first derivative of -1/3*u + 1/9*u**3 + 0*u**2 - 1. Factor q(o).
(o - 1)*(o + 1)/3
Let c(g) be the first derivative of g**4/28 + g**3/21 - 2*g**2/7 - 4*g/7 + 9. Find b, given that c(b) = 0.
-2, -1, 2
Let r be (1/12)/(57/152). What is o in -r*o + 0 - 2/9*o**2 = 0?
-1, 0
Suppose -2*b + 7*b - 30 = 0. Suppose -5*v + 4*x = -15, -2*v + b = -4*x - 0. Find n, given that 0*n + 2/5 + 0*n**v + 2/5*n**4 - 4/5*n**2 = 0.
-1, 1
Let b(t) be the third derivative of -t**7/210 - 5*t**2. Let w(u) = u**5 - 5*u**4 + 2*u**2 - u. Let a(j) = -3*b(j) + w(j). Find s such that a(s) = 0.
-