(-12). Let m be 0 + v/(-6)*0. Factor 2/5*r + 7/5*r**2 + m.
r*(7*r + 2)/5
Let k = 122/3 + -362/9. Factor -2/9 - 2/9*f**2 - k*f.
-2*(f + 1)**2/9
Let z(r) = -4*r**3 + 4*r**2 + 2*r. Let k(n) = n**4 - 13*n**3 + 13*n**2 + 6*n. Let p be 21*3/(-18)*-2. Let i(w) = p*z(w) - 2*k(w). Determine l so that i(l) = 0.
-1, 0, 1
Let i(x) be the third derivative of -x**5/420 - x**4/84 - x**3/42 - 4*x**2. Suppose i(m) = 0. What is m?
-1
Suppose -f + 0*f = 2*f. Let c(v) be the second derivative of -1/6*v**4 - 1/6*v**3 + 1/10*v**5 + f + 1/30*v**6 + v + 1/2*v**2 - 1/42*v**7. Factor c(l).
-(l - 1)**3*(l + 1)**2
Let s(c) = -7*c**2 + 2*c. Let w(o) = -o**2. Let a(q) = -3*s(q) + 24*w(q). Factor a(k).
-3*k*(k + 2)
Let k = -57/2 + 28. Let t = -1/6 - k. Determine a, given that 0 - 1/3*a**2 + t*a = 0.
0, 1
Let c = 5/36 - -1/9. Let o(w) be the first derivative of 0*w + c*w**2 - 2 - 1/6*w**3. Determine i so that o(i) = 0.
0, 1
Let k(m) be the third derivative of -m**6/120 + m**5/30 + m**4/24 - m**3/3 - 12*m**2. Factor k(l).
-(l - 2)*(l - 1)*(l + 1)
Let w = 48/23 - 73/46. Suppose q**4 + 0 + 0*q**3 - w*q - q**2 + 1/2*q**5 = 0. Calculate q.
-1, 0, 1
Let c(u) be the third derivative of 0*u**4 + 0 + 0*u**3 + 0*u - 2/15*u**5 + 1/30*u**6 - 1/84*u**8 + 4/105*u**7 - 6*u**2. Find g, given that c(g) = 0.
-1, 0, 1, 2
Let v(t) be the third derivative of -t**5/80 + 3*t**4/8 - 9*t**3/2 - 2*t**2. Find b such that v(b) = 0.
6
Let c(g) be the third derivative of -g**9/20160 - g**8/3360 + g**7/1680 + g**6/120 - g**5/60 - 5*g**2. Let i(n) be the third derivative of c(n). Factor i(t).
-3*(t - 1)*(t + 1)*(t + 2)
Let p(t) = -t**3 - t**2 + 1. Let l(v) = -5*v**3 + 3*v**2 - v + 1. Let d = 4 - 0. Suppose -17 + 1 = -d*g. Let h(u) = g*p(u) - 2*l(u). Solve h(c) = 0.
-1/3, 1
Factor -3*z**3 + 7*z**2 - 243 + 38*z**2 - 189*z + 6*z**2.
-3*(z - 9)**2*(z + 1)
Determine q so that 4 + 4*q**3 + 0*q**3 - 4*q - 2 - 2*q**2 = 0.
-1, 1/2, 1
Suppose 10 + 2 = 3*i. Determine z, given that 25/2*z**3 + i + 35*z**2 + 22*z = 0.
-2, -2/5
Let w be 3/(12/8 + 0). Let c be -4 + 2 - (-48)/20. Determine t, given that -6/5*t**w + 4/5 + c*t = 0.
-2/3, 1
Suppose -2*q + 3*q = 3*a - 7, 2*q = 4*a - 10. Let s be 0*(9/(-6) - q). Suppose 3*h**2 - h**3 + s*h**2 - 2*h**2 = 0. Calculate h.
0, 1
Solve -192/7*p - 75/7*p**3 + 36/7 + 285/7*p**2 = 0.
2/5, 3
Let n(o) be the first derivative of -7/6*o**6 + 34/3*o**3 + 6 - 13/4*o**4 - 8*o + 10*o**2 - 26/5*o**5. Determine r, given that n(r) = 0.
-2, -1, 2/7, 1
Let y(x) be the second derivative of -3/10*x**5 - 3*x + 0*x**6 + 1/3*x**4 + 1/21*x**7 + 0*x**3 + 0 + 0*x**2. Let y(n) = 0. Calculate n.
-2, 0, 1
Factor -27*m**3 - 10*m**4 - 11*m**4 - 21*m**2 - 6*m + 6*m**4 - 2*m**5 - m**5.
-3*m*(m + 1)**3*(m + 2)
Let 1/4*v - 1/4*v**5 + 0*v**3 + 0 + 1/2*v**2 - 1/2*v**4 = 0. Calculate v.
-1, 0, 1
Let t = 22 - 18. Let u(w) be the first derivative of -1/3*w + 2 + 1/9*w**3 - 1/6*w**2 + 1/12*w**t. Determine y, given that u(y) = 0.
-1, 1
Let c(q) be the first derivative of 8/9*q**3 - 4 - 4/3*q**2 - 1/6*q**4 + 0*q. Solve c(z) = 0.
0, 2
Determine b so that 6*b + 2 - b - 2*b**2 + 2 - 3*b = 0.
-1, 2
Let n = 130 + -386/3. Let g(h) = h - 1. Let a be g(3). Let -2/3*z - 2/3*z**a + n = 0. What is z?
-2, 1
Let q be 0/(-8)*(6 + -7). Factor 0 - 8/7*s**3 + 2/7*s**4 + q*s + 8/7*s**2.
2*s**2*(s - 2)**2/7
Let c(y) be the third derivative of 7*y**2 - 1/105*y**5 + 0*y**6 - 1/1176*y**8 + 2/735*y**7 + 0*y**3 + 0*y + 0 + 1/84*y**4. Factor c(x).
-2*x*(x - 1)**3*(x + 1)/7
Let m(p) = 6*p**2 + 11*p. Let q(j) = -j**2 - 2*j. Suppose 1 = 3*i - 2, -i = -5*t + 164. Let y(c) = t*q(c) + 6*m(c). Factor y(s).
3*s**2
Factor -11/8*q + 9/8*q**4 - 7/8*q**2 + 11/8*q**3 - 1/4.
(q - 1)*(q + 1)**2*(9*q + 2)/8
Let a(i) be the second derivative of 8*i**4/3 - 4*i**3/3 + i**2/4 + 13*i. Factor a(o).
(8*o - 1)**2/2
Let l = 23 + -18. Let r(u) be the third derivative of 0 + 2*u**2 + 1/240*u**6 - 1/24*u**l + 1/6*u**4 + 0*u - 1/3*u**3. Factor r(v).
(v - 2)**2*(v - 1)/2
Factor 4/11 - 2/11*t**2 - 2/11*t.
-2*(t - 1)*(t + 2)/11
Let w(d) be the second derivative of d**10/105840 + d**9/26460 - d**7/4410 - d**6/2520 + d**4/4 + 2*d. Let k(g) be the third derivative of w(g). Factor k(b).
2*b*(b - 1)*(b + 1)**3/7
Let i(n) = n**2 + 3*n - 8. Let r be i(-5). Factor 0 - 2/7*y**r + 2/7*y**4 + 0*y + 0*y**3.
2*y**2*(y - 1)*(y + 1)/7
Let p(x) be the third derivative of -2*x**2 + 0 - 7/150*x**5 + 2/15*x**3 + 0*x - 1/12*x**4. Solve p(l) = 0.
-1, 2/7
Factor -8 - 12*m**2 - 4*m**3 - 1/2*m**4 - 16*m.
-(m + 2)**4/2
Let h be (-2 - -3)*((-3)/(-18) - 0). Let u(y) be the third derivative of 0*y**4 + 0*y - h*y**3 + 1/60*y**5 - 2*y**2 + 0. Solve u(d) = 0 for d.
-1, 1
Let b(y) be the second derivative of -3/2*y**4 + 0 + 1/10*y**5 + 5*y - 27*y**2 + 9*y**3. Find c, given that b(c) = 0.
3
Let h(u) = -12*u**2 + 31*u**2 - 20*u**2. Let y(i) = -2187*i**3 + 1470*i**2 - 324*i + 24. Let n(f) = -12*h(f) - y(f). Let n(t) = 0. Calculate t.
2/9
Suppose -t = -3*u - u + 84, 2*t - 8 = 0. Suppose -3*p - u = -5*s, -3*s = -4*p + 12 - 34. Factor -6/7*q**3 - 8/7*q**s - 2/7*q + 0.
-2*q*(q + 1)*(3*q + 1)/7
Suppose -1/6*r**3 + 0*r + 2/3 - 1/2*r**2 = 0. Calculate r.
-2, 1
Suppose -2 = -3*n + 7. Find w such that 80*w**2 + 4 - 14*w**5 - 35*w**3 - 62*w**n + 60*w**4 - 3*w**3 - 30*w = 0.
2/7, 1
Let m(j) be the first derivative of 5*j**3/3 + 15*j**2/2 - 4. Factor m(g).
5*g*(g + 3)
Suppose -5*d + 45 = 5*y, 0*y + y = -3*d + 19. Suppose -4*o = -d*x - 8, o = 2*x - 0 + 2. Suppose -9*r**3 - 2*r**4 - 2*r + 4*r**2 + 7*r**3 + o*r = 0. Calculate r.
-2, 0, 1
Let a(b) be the third derivative of -b**6/420 - b**5/42 - b**4/42 + 8*b**3/21 + 2*b**2. Factor a(f).
-2*(f - 1)*(f + 2)*(f + 4)/7
Let s = 76 - 220/3. Factor -4/3*z**3 - s*z + 2/9*z**4 + 26/9*z**2 + 8/9.
2*(z - 2)**2*(z - 1)**2/9
Let z(i) be the third derivative of -i**11/332640 + i**9/60480 + i**5/60 - i**2. Let p(y) be the third derivative of z(y). Find n, given that p(n) = 0.
-1, 0, 1
Find w such that -2*w**2 - 7/3*w - 2/3 + w**5 + 4/3*w**3 + 8/3*w**4 = 0.
-1, -2/3, 1
Let o(m) be the second derivative of 0*m**4 + 0 - 1/126*m**7 + 4*m + 0*m**3 - 1/45*m**6 + 0*m**2 + 0*m**5. Find s such that o(s) = 0.
-2, 0
Suppose 0 = 3*y + 36 - 45. Determine s so that 0 - 1/2*s + 0*s**2 + 1/2*s**y = 0.
-1, 0, 1
Let x(o) = -o**2 - 25*o - 22. Let j be x(-24). Factor 2/5*i**j - 2/5 + 2/5*i**3 - 2/5*i.
2*(i - 1)*(i + 1)**2/5
Let g(d) be the first derivative of -d**5/240 + d**4/48 - d**3/24 + 3*d**2/2 - 1. Let v(b) be the second derivative of g(b). Factor v(h).
-(h - 1)**2/4
Factor -2/9*k**5 + 0 + 2/3*k**3 - 4/9*k**2 + 0*k**4 + 0*k.
-2*k**2*(k - 1)**2*(k + 2)/9
Suppose 5*g = -0*g - 4*o + 300, 3*g - 188 = -4*o. Suppose 2*d = -20 + g. Let 80/9*y**2 + 0 + d*y**4 + 8/9*y + 26*y**3 = 0. Calculate y.
-1, -2/9, 0
Let a be ((-9)/(-48))/(21/28). Factor 0*z**3 + 0*z + 0*z**2 - 3/4*z**5 + 0 + a*z**4.
-z**4*(3*z - 1)/4
Let o(p) be the first derivative of 0*p + 3 - 2/15*p**6 - 1/20*p**4 + 1/5*p**5 + 0*p**3 + 0*p**2. Factor o(x).
-x**3*(x - 1)*(4*x - 1)/5
Let r(o) be the second derivative of 25*o**4/42 - 10*o**3/21 + o**2/7 + 6*o. Suppose r(q) = 0. What is q?
1/5
Let n(t) be the first derivative of 1/6*t**3 + 1/48*t**4 - 1 + 0*t + 3/2*t**2 - 1/120*t**5. Let b(i) be the second derivative of n(i). Factor b(j).
-(j - 2)*(j + 1)/2
Let f be 6/(-21) - (2 + (-80)/35). Find h such that 0 + 2/3*h**4 + 0*h - 2/3*h**2 + f*h**3 = 0.
-1, 0, 1
Let k(r) = -135*r**2 + 80*r + 755. Let g(s) = -5*s**2 + 3*s + 28. Let j(f) = -55*g(f) + 2*k(f). Factor j(p).
5*(p - 3)*(p + 2)
Factor -2/5*x**3 + 8/5 - 8/5*x**2 + 2/5*x.
-2*(x - 1)*(x + 1)*(x + 4)/5
Let m(j) = -3*j**5 - 28*j**4 - 70*j**3 - 88*j**2 - 51*j - 16. Let r(y) = y**4 + y**3 + y**2 + 1. Let d(o) = -m(o) - 4*r(o). Let d(s) = 0. What is s?
-4, -1
Suppose 12 = w + 3*w. Solve -16*v**4 - 2*v**w - v**5 + 6*v**5 + 13*v**4 = 0 for v.
-2/5, 0, 1
Let f(c) be the first derivative of c**3/12 - c**2/4 - 7. Suppose f(h) = 0. Calculate h.
0, 2
Suppose 39*c = 43*c - 12. Let u(o) be the second derivative of 2/55*o**5 - 3*o + 1/11*o**2 + 5/33*o**c + 4/33*o**4 + 0. Find a, given that u(a) = 0.
-1, -1/2
Suppose -4/13*l**3 - 4/13*l + 18/13*l**4 - 18/13*l**2 + 8/13*l**5 + 0 = 0. What is l?
-2, -1, -1/4, 0, 1
Let b(t) = -5*t**3 + t**2 - 3*t + 3. Let s(f) be the first derivative of f**4 + f**2 - 2*f - 5. Let g(z)