*4 + 0*w**5 + 1/10*w**6 + 0 + 0*w**2 + 3*w. Suppose i(m) = 0. Calculate m.
-1, 0, 1
Let v(l) be the third derivative of -l**7/1365 - l**6/260 - l**5/390 + l**4/52 + 2*l**3/39 - 14*l**2. Find s, given that v(s) = 0.
-2, -1, 1
Let d be 9*1/6 + 68/(-56). Determine c, given that 4/7 - 2/7*c - 4/7*c**2 + d*c**3 = 0.
-1, 1, 2
Let c(p) = -5 + 5 + 0 + p - p**2. Let y be c(0). Find k such that y + 1/2*k**2 + 1/2*k**3 - k = 0.
-2, 0, 1
Let c = 8 - 4. Suppose -2*d = -c*d. Factor -4/7*j**4 + 2/7*j**5 - 2/7*j + 4/7*j**2 + d*j**3 + 0.
2*j*(j - 1)**3*(j + 1)/7
Suppose 25/2*t + 11/2*t**2 + 13/2 - 1/2*t**3 = 0. What is t?
-1, 13
Suppose 0 = -2*a + 5*o + 33, 4*a + o = 5*o + 36. Suppose -19 = -a*k + 1. Factor -k - 2*l**2 + 5.
-2*l**2
Let v be (-18)/(-36)*(1 + -1). Factor -9/2*b**2 + v + 3*b.
-3*b*(3*b - 2)/2
Suppose 2*b - 33 = t - 6*t, 5*t = 25. Suppose -5/3*y**5 - 2/3 + b*y**4 + 3*y - 10/3*y**2 - 4/3*y**3 = 0. Calculate y.
-1, 2/5, 1
Let v(i) = 6*i**2 + 5*i. Let x = -4 - 2. Let w(d) = 7*d**2 + 6*d. Let j(s) = x*v(s) + 5*w(s). Factor j(f).
-f**2
Let h be 14*1/(-2)*1. Let m be (-49)/14*6/h. Let 0*t**m - 1/3*t**4 + 0*t - 1/3*t**5 + 0 + 0*t**2 = 0. Calculate t.
-1, 0
Solve 1/3*b**5 + 0*b + 0*b**2 + 0 - 1/3*b**4 + 0*b**3 = 0 for b.
0, 1
Factor -6*i**2 - i - 5*i**3 - i**3 + 7*i - 3*i**2.
-3*i*(i + 2)*(2*i - 1)
Let v(r) = -7*r**3 + r**2 + 3. Let u(c) = -78*c**3 + 12*c**2 + 34. Let m(g) = -6*u(g) + 68*v(g). Solve m(f) = 0 for f.
-1/2, 0
Suppose 2 + 2 + 1 - 4 - l**2 = 0. What is l?
-1, 1
Let b(l) be the first derivative of 2*l**5/21 + 17*l**4/42 + 2*l**3/3 + 11*l**2/21 + 4*l/21 - 17. Find a such that b(a) = 0.
-1, -2/5
Let h = -7 + 9. Determine d, given that -d**3 - 3*d - 3*d**2 - 5 + 2 + 0 + h = 0.
-1
Let b be 17/(-34) + (-2)/(-4). Let w = -33 + 67/2. Factor -w*t**3 - 1/2*t + b - t**2.
-t*(t + 1)**2/2
Factor 1/4 + 1/4*l**2 + 1/2*l.
(l + 1)**2/4
Let v(c) be the first derivative of -c**4/48 - c**3/24 + c**2/4 - 2*c - 3. Let s(y) be the first derivative of v(y). Solve s(z) = 0.
-2, 1
Let y(q) be the third derivative of q**8/42 - 4*q**7/35 + 13*q**6/60 - q**5/5 + q**4/12 - 35*q**2. Factor y(v).
2*v*(v - 1)**2*(2*v - 1)**2
Factor 5/4*u**3 - 5/2*u**2 + 0 + 0*u.
5*u**2*(u - 2)/4
Let l(c) = -c + 1. Let q be l(3). Let o be (-3)/(-1 - (-2 - q)). Factor 2/3*v + 0*v**2 - 2/3*v**o + 0.
-2*v*(v - 1)*(v + 1)/3
Let f = -14 - -14. Let z(j) be the first derivative of -j**2 + f*j + 2/3*j**3 + 2. Factor z(m).
2*m*(m - 1)
Suppose 0 = -2*f + f - 4*v + 6, -3*f - v = -7. Factor -z**2 + 0*z - z**f - 7*z + 11*z.
-2*z*(z - 2)
Let d be 63/28 - 1/4. Factor 4*y - 24 + 2*y**2 + 20 - d*y.
2*(y - 1)*(y + 2)
Let c(j) be the second derivative of 1/24*j**3 - 1/48*j**4 + 1/240*j**5 + j**2 - j + 0. Let w(g) be the first derivative of c(g). Factor w(p).
(p - 1)**2/4
Factor 1/2*g**4 + 0 + 0*g**2 + 0*g - 1/2*g**3.
g**3*(g - 1)/2
Let f(p) = p - 7. Let s be f(9). What is x in -2*x**s - 4*x + 0*x**3 + 2*x**4 + 3*x**3 + x**3 = 0?
-2, -1, 0, 1
Let z(i) be the first derivative of 2*i**5/25 + 3*i**4/10 + 4*i**3/15 - 27. Let z(y) = 0. Calculate y.
-2, -1, 0
Let l be (-6)/(-15) + 26/10. Solve 0 + 0 + 3*j - 3*j**l + 2*j**3 + 2 = 0.
-1, 2
Let u(t) be the second derivative of -t**7/21 + t**6/15 + t**5/5 - t - 5. Suppose u(f) = 0. Calculate f.
-1, 0, 2
Let y(i) be the first derivative of i**7/105 + i**6/60 - i**5/10 - 5*i**4/12 - 2*i**3/3 - i**2/2 - 1. Let q(v) be the second derivative of y(v). Factor q(h).
2*(h - 2)*(h + 1)**3
Let v(i) be the third derivative of -i**7/945 - i**6/135 + i**5/54 - 22*i**2. What is h in v(h) = 0?
-5, 0, 1
Let l(v) be the first derivative of -v**5/10 + 3*v**4/8 - v**3/2 + v**2/4 + 2. Factor l(g).
-g*(g - 1)**3/2
Let f be -4*39/24*-2. Let 4 - 14*c**3 + c**2 - 6*c - f*c**2 - 3*c**2 - 9*c**2 = 0. Calculate c.
-1, 2/7
Let g be (0 - 1)/(19 - 0). Let t = g + 43/95. Let 0 + 0*d**2 - t*d**3 + 0*d - 2/5*d**4 = 0. What is d?
-1, 0
Suppose 4*g + 2 = 5*v - 3, 3*g = 5*v - 5. Let s(w) be the first derivative of g*w**2 + 0*w**3 + 1 + 1/4*w**4 + 0*w. Factor s(c).
c**3
Let d(c) = -5*c**4 - c**3 + 5*c**2 + c + 4. Let l(t) = t - t**2 + t**4 - 6 - t + 5. Let x(p) = -d(p) - 4*l(p). Determine m, given that x(m) = 0.
-1, 0, 1
Let i(x) be the second derivative of 1/5*x**3 + 1/5*x**2 + 0 + 1/10*x**4 + 1/50*x**5 + 3*x. Suppose i(o) = 0. Calculate o.
-1
Suppose 5*t - 4*m = -7*m + 7, 0 = 2*t + m - 3. Let g = t - 0. Find i, given that -7*i**g + 2*i - 2*i**3 + 7*i**2 + i**4 - 1 = 0.
-1, 1
Let d(w) be the third derivative of w**7/315 - w**6/60 + w**5/90 + w**4/12 - 2*w**3/9 - 9*w**2. Factor d(x).
2*(x - 2)*(x - 1)**2*(x + 1)/3
Suppose -3 - 109 = 4*g. Let i be (-5)/(-20) + g/(-16). Solve 3/2*z - 15/4*z**i - 21/4*z**3 + 0 = 0.
-1, 0, 2/7
Let q(z) be the second derivative of 2/3*z**2 + 3*z + 1/9*z**3 - 1/18*z**4 + 0. Factor q(a).
-2*(a - 2)*(a + 1)/3
Let b(a) = a**3 - 6*a**2 + 7*a - 6. Let z be b(5). Factor 4 + z*u**2 - 6*u**2 + 3*u**2 + 4*u.
(u + 2)**2
Let p(i) be the first derivative of -1/4*i**3 + 0*i - 5 - 3/8*i**2. Factor p(t).
-3*t*(t + 1)/4
Let j(n) be the second derivative of 5*n**9/3024 + n**8/840 - n**7/168 - n**6/180 - n**3/3 - n. Let w(i) be the second derivative of j(i). Factor w(b).
b**2*(b - 1)*(b + 1)*(5*b + 2)
Let a(j) = -13*j**3 - 6*j**2 + 7. Let k = 39 - 34. Suppose -y + 7 = 14. Let r(g) = -9*g**3 - 4*g**2 + 5. Let z(b) = k*a(b) + y*r(b). Factor z(m).
-2*m**2*(m + 1)
Let v = 209/4 + -52. Suppose -6*m = -7*m. Factor v*r + 1/4*r**2 + m.
r*(r + 1)/4
Suppose 0 = -2*i + 3*o - 4 + 10, 0 = 2*o. Determine y, given that -2/3*y**4 + 0*y**i + 0 + 2/3*y**2 + 0*y = 0.
-1, 0, 1
Let t(f) be the second derivative of -f**6 - 267*f**5/20 - 36*f**4 - 79*f**3/2 - 21*f**2 - 61*f. Determine b so that t(b) = 0.
-7, -1, -1/2, -2/5
Let h(m) be the second derivative of m**4/96 + m**3/24 + m**2/16 + 4*m. Determine o, given that h(o) = 0.
-1
Let s(p) be the second derivative of p**7/378 + p**6/270 - p**5/180 - p**4/108 + 12*p. Factor s(d).
d**2*(d - 1)*(d + 1)**2/9
Let f(c) = c**2 - 4*c - 5. Suppose 0 = 2*k - 3*k + 5. Let u be f(k). Factor 1/3*v**2 + u + 0*v.
v**2/3
Let x be (-104)/(-168) + (-2)/7. Let d(b) be the second derivative of -2/3*b**3 + 0 + 0*b**2 - b - x*b**4 - 1/20*b**5. Determine o so that d(o) = 0.
-2, 0
Determine u, given that 72/5*u**2 + 14/5*u**5 - 52/5*u**3 + 0 - 16/5*u - 18/5*u**4 = 0.
-2, 0, 2/7, 1, 2
Let s be (-3)/((-15)/55) + 0/7. Let j be 3*(-10)/(-6)*1. Factor 25/4*z**j + 0*z + s*z**3 - 35/2*z**4 - 2*z**2 + 0.
z**2*(z - 2)*(5*z - 2)**2/4
Let y(g) be the third derivative of g**5/120 - 7*g**4/48 - 2*g**3/3 + 36*g**2. Factor y(h).
(h - 8)*(h + 1)/2
Let f(c) be the second derivative of c**7/105 + c**6/15 + c**5/5 + c**4/3 + c**3/3 - c**2 + c. Let p(l) be the first derivative of f(l). Factor p(h).
2*(h + 1)**4
Let l be (5/60)/((-12)/(-36)). Factor l*j**3 + 1/4*j + 1/2*j**2 + 0.
j*(j + 1)**2/4
Let p(w) = 6*w**5 - 22*w**4 + 46*w**3 - 30*w**2 + 2*w + 2. Let a(t) = 13*t**5 - 43*t**4 + 91*t**3 - 59*t**2 + 5*t + 5. Let z(m) = -2*a(m) + 5*p(m). Factor z(l).
4*l**2*(l - 2)**3
Let d = 75 - 72. Let i(u) be the first derivative of -2/9*u**d + 0*u + 2/15*u**5 + 1/18*u**6 + 0*u**4 - 1/6*u**2 - 2. Suppose i(q) = 0. Calculate q.
-1, 0, 1
Let z(k) be the third derivative of -k**8/784 - k**7/490 + 13*k**2. Solve z(d) = 0 for d.
-1, 0
Let i be 3475/(-250) + 2/(-20). Let o = 44/3 + i. Let -2/3*z**2 - 2/3*z**3 + 2/3*z + o = 0. Calculate z.
-1, 1
Let j = -7 + 10. Factor -j*d**2 - 2*d - 16*d - 7 - 20.
-3*(d + 3)**2
Factor -3*n**2 + 7*n**2 + 8*n**2 + 12*n**3 - 4*n**2 + 4*n**4.
4*n**2*(n + 1)*(n + 2)
Let n(k) = 7*k**4 + 16*k**3 - 9*k**2 - 31*k + 8. Let z(f) = -f**3 - f**2 - f. Let t(j) = -n(j) + 3*z(j). Factor t(u).
-(u - 1)*(u + 2)**2*(7*u - 2)
Let h(b) be the first derivative of -b**6/6 + 3*b**4/2 - 8*b**3/3 + 3*b**2/2 - 27. Factor h(s).
-s*(s - 1)**3*(s + 3)
Let m(r) be the third derivative of 19/420*r**6 + 1/105*r**5 + 3/98*r**8 + 3*r**2 + 53/735*r**7 + 0*r + 0*r**3 + 0 + 0*r**4. Suppose m(z) = 0. What is z?
-1, -1/4, -2/9, 0
Let m(a) = -a**2 - 1. Let l be (-22)/(-18) + 12/(-54). Let k(g) = -l + 1 + 4 - 3. Let h(w) = -2*k(w) - m(w). Factor h(p).
(p - 1)*(p + 1)
Let a(c) = -c**2 - 5*c. Let y(l) = l. Let o(f) = -a(f) - 4*y(f). Factor o(z).
z*(z + 1)
Factor 3*x**2 + 3*x + 5*x - x**3 - 5*x + x.
-x*(x - 4)*(x + 1)
Let t(f) = -2*f**3 + 