6*z**2 = 0.
-2, 0
Let u(n) be the third derivative of 3*n**6/10 - 47*n**5/15 + 32*n**4/3 - 8*n**3 - 52*n**2. Factor u(g).
4*(g - 3)*(g - 2)*(9*g - 2)
Let p(z) be the second derivative of z**7/420 - z**5/60 + z**3/3 - 4*z. Let a(w) be the second derivative of p(w). Factor a(v).
2*v*(v - 1)*(v + 1)
Let y be (-6)/(-4)*20/15. Suppose 0 = -y*x - x + 6. Factor 0*n + 0 - 2/7*n**3 - 2/7*n**x.
-2*n**2*(n + 1)/7
Let x = -43 - -43. Factor 2/9*c**3 + x - 2/9*c**4 + 2/9*c**2 - 2/9*c.
-2*c*(c - 1)**2*(c + 1)/9
Let z = 48 + -238/5. Factor 2/5*r + z*r**3 + 0 - 4/5*r**2.
2*r*(r - 1)**2/5
Let d(s) = s**2 + 5*s - 6. Let m be d(-9). Suppose -p - 18 = -4*y + p, -5*y + 5*p = -m. Suppose -r**2 + 0 - 1/3*r**4 - r**y - 1/3*r = 0. Calculate r.
-1, 0
Let t(d) be the third derivative of 11/15*d**5 + 0 + 3*d**3 - d**2 - 2/15*d**6 - 2*d**4 + 1/105*d**7 + 0*d. Factor t(r).
2*(r - 3)**2*(r - 1)**2
Let j(f) be the second derivative of -f**6/360 - f**5/60 - f**4/24 - f**3/18 - f**2/24 + 30*f. Determine z so that j(z) = 0.
-1
Let j(i) be the first derivative of -5 + 1/5*i**3 + 0*i + 0*i**2 + 3/20*i**4. Factor j(c).
3*c**2*(c + 1)/5
Let f(k) be the first derivative of k**5/15 - k**4/4 + k**3/9 + k**2/2 - 2*k/3 - 1. Factor f(i).
(i - 2)*(i - 1)**2*(i + 1)/3
What is l in -1/10*l**2 - 18/5 - 6/5*l = 0?
-6
Suppose 2*u - 4*z = 0, u + 2*z + 8 = 3*u. Suppose -3*t = -u*t - 5*w - 25, -t + 3*w = -15. What is y in 2*y**3 + y + y**2 - 1 - 3*y**3 + t*y**3 = 0?
-1, 1
Find f such that 28*f**3 + 99*f**4 - 21*f**2 - 13*f + 11*f + 8*f - 112*f**3 = 0.
-1/3, 0, 2/11, 1
Let f(y) be the third derivative of -y**6/420 + y**5/42 - y**4/28 - 3*y**3/7 + 2*y**2. Factor f(o).
-2*(o - 3)**2*(o + 1)/7
Let a(g) be the first derivative of -2*g**5/5 - g**4/2 + 2*g**3 + 5*g**2 + 4*g - 39. Solve a(h) = 0 for h.
-1, 2
Let y be (1*(-2 + 1))/(-4). Factor 1/2*j**2 - 1/4*j - 1/2 + y*j**3.
(j - 1)*(j + 1)*(j + 2)/4
Let q(c) be the second derivative of c**6/210 + 3*c**5/140 + c**4/84 - c**3/14 - c**2/7 - 21*c. Factor q(t).
(t - 1)*(t + 1)**2*(t + 2)/7
Let x(t) be the third derivative of -2/21*t**3 + 0*t**5 + 4*t**2 + 0*t + 0 - 1/420*t**6 + 1/28*t**4. Factor x(f).
-2*(f - 1)**2*(f + 2)/7
Determine t, given that 0 - 2/13*t + 2/13*t**2 = 0.
0, 1
Determine r so that -71*r + 18*r + 21*r + 4*r**2 + 24*r = 0.
0, 2
Let v(s) be the third derivative of -s**6/600 + s**5/300 + s**4/60 + 11*s**2. Factor v(j).
-j*(j - 2)*(j + 1)/5
Let j(m) = -7*m + 3. Let d be j(3). Let f = -13 - d. Find g, given that 25*g**5 - f*g**3 + 17*g**5 + g**3 + 2*g**4 = 0.
-1/3, 0, 2/7
Let g(j) be the second derivative of -13/110*j**5 - 4/33*j**3 + 2/11*j**4 - 1/231*j**7 + 0 + 0*j**2 + 8*j + 2/55*j**6. Suppose g(i) = 0. Calculate i.
0, 1, 2
Suppose 0 = -50*a + 45*a + 30. Let k(v) be the first derivative of 0*v - 1/3*v**3 + 1/2*v**a + 0*v**2 - 3 + 5/4*v**4 - 7/5*v**5. Factor k(y).
y**2*(y - 1)**2*(3*y - 1)
Let r = -228/595 - 2/119. Let t = r - -4/5. Let 2/5*n**3 + 0 - t*n**5 - 2/5*n**2 + 2/5*n**4 + 0*n = 0. Calculate n.
-1, 0, 1
Let a(j) be the third derivative of 5*j**8/168 - 5*j**7/42 - j**6/6 + j**5/4 - 14*j**2. Solve a(y) = 0 for y.
-1, 0, 1/2, 3
Let c(n) be the third derivative of n**6/24 - 5*n**4/24 + 22*n**2. Solve c(k) = 0 for k.
-1, 0, 1
Let d(i) be the first derivative of i**5/20 + i**4/16 + 4. Find f, given that d(f) = 0.
-1, 0
Let g be 6*(-3)/6*-1. Let c(v) = -2*v**3 + 6*v**2 + 5*v - 3. Let q(o) = -2*o**3 + 6*o**2 + 6*o - 2. Let b(s) = g*q(s) - 4*c(s). Suppose b(u) = 0. What is u?
-1, 1, 3
Let r(z) be the first derivative of 0*z + 0*z**2 - 2 - 2/3*z**3. Factor r(b).
-2*b**2
Let m(l) = 2*l**2 - 5*l + 1. Let y be m(3). What is j in 0*j + 0*j**2 + 1/3*j**3 + 0 + 0*j**y - 1/3*j**5 = 0?
-1, 0, 1
Let b be 72/(-1*(1 - 2)). Suppose -5*v + 108 + b = 0. Solve a**4 + 2*a**3 + 40*a**5 - v*a**5 - 5*a**4 - 2*a**4 = 0.
0, 1/2, 1
Let l be (-1 + 7/5)/((-28)/(-35)). Find v such that -v**2 - l*v + 0 = 0.
-1/2, 0
Let m(w) be the first derivative of -w**6/18 - 4*w**5/15 + 16*w**3/9 + 8*w**2/3 - 8. Let m(f) = 0. Calculate f.
-2, 0, 2
Let q(j) be the first derivative of 5/9*j**3 - 1/5*j**5 - 2/3*j - 3 + 1/6*j**2 - 1/12*j**4. Solve q(d) = 0.
-1, 2/3, 1
Suppose 0 = 2*g - h - 11, -3*g + 2*h + 4 = 3*h. Factor -3/4*s**2 + 1/4*s**g + 0*s + 1.
(s - 2)**2*(s + 1)/4
Suppose -2*j = 6 - 12. Solve k**2 - 1 - 1/2*k**j + 1/2*k = 0 for k.
-1, 1, 2
Let r = 350 - 346. Suppose 4/5*z**3 + 2/5*z**5 - 2/5 - 4/5*z**2 + 6/5*z**r - 6/5*z = 0. Calculate z.
-1, 1
Let g(u) = -u**4 - u**2 - 1. Let v(o) = -2*o**4 + 3*o - 2*o**2 - o - 19 + 14 - 4*o**4. Let c(r) = 15*g(r) - 3*v(r). Factor c(h).
3*h*(h - 2)*(h + 1)**2
Let n(k) be the second derivative of k**5/90 + 5*k**4/54 + 8*k**3/27 + 4*k**2/9 + 3*k. Factor n(m).
2*(m + 1)*(m + 2)**2/9
Let a(t) be the second derivative of t**6/135 + t**5/90 - t**4/18 - t**3/27 + 2*t**2/9 - 40*t. Determine l, given that a(l) = 0.
-2, -1, 1
Let w(x) be the second derivative of -x**6/30 + 5*x**4/12 - 2*x**2 + 9*x + 2. Solve w(g) = 0 for g.
-2, -1, 1, 2
Let p(m) = -6*m**4 + 15*m**3 - 4*m**2 - 5*m + 5. Let v(h) = h**3 - h + 1. Let u(c) = -p(c) + 5*v(c). Factor u(x).
2*x**2*(x - 1)*(3*x - 2)
Let u(a) be the first derivative of 8*a**5/5 + 6*a**4 - 2*a**3 - 10*a**2 - 6*a + 41. Let u(t) = 0. Calculate t.
-3, -1/2, 1
Suppose 2*a - 11 = -1. Let v(c) be the first derivative of -4 - 21/5*c**5 + 6*c + 27/2*c**2 - 27/4*c**4 + a*c**3. Find n, given that v(n) = 0.
-1, -2/7, 1
Let r(q) = 2*q**3 - 13*q + 13. Let h be 1/5*3*10. Let y(g) = -6 - 4*g**3 + g**3 + 6*g + 2*g**3. Let n(i) = h*r(i) + 13*y(i). Solve n(v) = 0.
0
Let a(n) be the third derivative of -n**7/1400 + n**6/1800 + n**5/300 - n**3/6 - 3*n**2. Let q(f) be the first derivative of a(f). Let q(g) = 0. Calculate g.
-2/3, 0, 1
Let d = -117 + 118. Determine a, given that -5/2*a**4 - 11/2*a - 17/2*a**3 - d - 21/2*a**2 = 0.
-1, -2/5
Let a(c) be the third derivative of -c**6/660 + c**4/132 - 4*c**2. Factor a(b).
-2*b*(b - 1)*(b + 1)/11
Let i be 310/110 - (-2)/11. Let y(x) be the first derivative of 2 - 1/4*x**4 + 0*x**2 - x**i + 4*x. Factor y(d).
-(d - 1)*(d + 2)**2
Let i be 16 + 2 - (-5 + 7). Suppose p + 0*c = -3*c + i, p = c. Let 3/2*t**2 + t**3 + 0 - 3/2*t**p - t = 0. Calculate t.
-1, 0, 2/3, 1
Suppose 10*d + 8 = 14*d - 5*i, 2*i = -2*d + 4. Find x, given that 2/3*x**2 - d*x + 4/3 = 0.
1, 2
Let b(q) be the third derivative of q**8/6720 - q**7/560 + q**6/120 - 7*q**5/60 - 2*q**2. Let o(k) be the third derivative of b(k). Factor o(r).
3*(r - 2)*(r - 1)
Let q be (-1 + 1)*-1*(-4 + 3). Factor -2/7*b + q - 2/7*b**2.
-2*b*(b + 1)/7
Let p = -66/5 - -208/15. Let i(d) be the first derivative of 2 + 0*d**2 - p*d**3 + 0*d + 2/5*d**5 + 0*d**4. Determine c so that i(c) = 0.
-1, 0, 1
Let j(c) = -c**2. Let v(a) = -2*a**2. Let x(g) = -6*j(g) + 2*v(g). Determine n so that x(n) = 0.
0
Let o be (-34)/(-72) - (-10)/(-45). Solve 0*x + 1/4*x**2 + 0 - 1/4*x**4 + 1/4*x**3 - o*x**5 = 0.
-1, 0, 1
Let f be 10*((-384)/100 + 4). Let c(w) be the first derivative of 4 - 4/5*w**2 - f*w - 2/15*w**3. Factor c(b).
-2*(b + 2)**2/5
Let s(o) = o**3 - 12*o**2 + 10*o + 13. Let c be s(11). Factor 0*q - 2/5*q**c + 0 + 1/5*q**3.
q**2*(q - 2)/5
Let b = -91 + 183/2. Factor -3/2*n - 1 - b*n**2.
-(n + 1)*(n + 2)/2
Factor -6*x**3 - 3*x + 11*x + 2*x**3 - 2*x**3 - 2*x**4.
-2*x*(x - 1)*(x + 2)**2
Let s(k) = -2*k. Let i be s(-2). Factor -4*r**3 - i*r**2 + 3*r**3 - 3*r**4 + r**5 + 5*r**2 + 2*r**4.
r**2*(r - 1)**2*(r + 1)
Suppose 0*o - 3*o = 9, 14 = 2*s - 2*o. Suppose -4 = -s*q + 4. Determine b, given that q*b**3 - 3 - 2*b + 3 = 0.
-1, 0, 1
Let z(u) be the third derivative of -1/120*u**6 - 1/30*u**5 + 3*u**2 + 0*u**3 + 0 - 1/24*u**4 + 0*u. Solve z(t) = 0.
-1, 0
Let o(p) be the third derivative of -p**7/945 - p**6/360 + p**5/180 + p**4/24 - 3*p**2. Let v(c) be the second derivative of o(c). Factor v(b).
-2*(b + 1)*(4*b - 1)/3
Factor -2*p**4 + 32*p**3 - 4*p**2 - 55*p**3 + 29*p**3.
-2*p**2*(p - 2)*(p - 1)
Let m(r) = -r. Let b be m(-2). Determine t, given that -2*t - 77 + 77 + t**b = 0.
0, 2
Let t(b) = -10*b**2 - 16*b + 2. Let r = 0 - 5. Let f(w) = 21*w**2 + 33*w - 3. Let o(m) = -m**2 - m - 2. Let h be o(0). Let x(d) = h*f(d) + r*t(d). Factor x(p).
2*(p + 2)*(4*p - 1)
Let s(a) be the first derivative of 1/10*a**4 + 0*a - 2/15*a**3 - 1/15*a**6 + 0*a**2 - 2 + 2/25*a**5. Find b, given 