-1)/45. Let -j*f**2 + 4/9*f - 2/9 = 0. Calculate f.
1
Suppose -5*i = -15, 4*t = 4*i - 17 + 1. Let l(y) = -y**2 + y. Let o(p) = -20*p**2 - 4*p + 4. Let b(v) = t*o(v) + 6*l(v). Suppose b(m) = 0. What is m?
-1, 2/7
Let c(d) = -d**3 - 2*d**2 + 2*d - 1. Let s = 2 + -5. Let a be c(s). Determine y, given that 2/5 + 18/5*y**a - 14/5*y**3 - 2*y + 4/5*y**4 = 0.
1/2, 1
Let y(h) = -6*h**2 + 2*h**3 + 2*h + 5*h - 10*h**5 - 5*h. Let g(x) = 11*x**5 - x**3 + 7*x**2 - 3*x. Let w(r) = -6*g(r) - 7*y(r). Let w(u) = 0. What is u?
-1, 0, 1
Let f(l) be the second derivative of -l**5/30 - l**4/18 + 2*l**3/9 + 10*l. Find o, given that f(o) = 0.
-2, 0, 1
Find c, given that 6/7*c**3 - 6/7*c - 15/7*c**4 + 15/7*c**2 + 0 = 0.
-1, 0, 2/5, 1
Let s(a) be the second derivative of 1/40*a**5 + 1/12*a**4 + 0 + 0*a**2 + 1/12*a**3 - a. Factor s(j).
j*(j + 1)**2/2
Let s(d) be the second derivative of 0 - d + 1/2*d**3 - 1/4*d**4 - 3/20*d**5 + 0*d**2 + 1/10*d**6. Factor s(b).
3*b*(b - 1)**2*(b + 1)
Let u be ((-2)/3)/(7/(-21)). Determine r so that -3*r**2 - 5*r**3 + 2*r**3 + u*r**2 - 2*r**4 = 0.
-1, -1/2, 0
Let y(g) be the second derivative of g**5/50 + g**4/30 - 2*g**3/15 + 15*g. Find w such that y(w) = 0.
-2, 0, 1
Let u(k) be the second derivative of -k**4/60 + k**3/30 + 26*k. Factor u(o).
-o*(o - 1)/5
Let j(t) be the first derivative of -2*t**5/5 + t**4/2 + 2*t**3 - t**2 - 4*t + 3. Solve j(k) = 0 for k.
-1, 1, 2
Let s(t) = -2*t**2 - 8*t - 12. Let q(b) = -1. Let m(w) = 6*q(w) - s(w). Factor m(k).
2*(k + 1)*(k + 3)
Suppose -4*s = -s - 9. Let r(i) be the first derivative of -2 + 0*i + 27/5*i**5 - 6*i**2 - 63/4*i**4 + 16*i**s. Suppose r(v) = 0. Calculate v.
0, 2/3, 1
Suppose -2*f = -4*a - a + 43, 5*a - 25 = 0. Let o(q) = -q**2 - 10*q - 7. Let d be o(f). Factor -4*b + b**d - 5*b**2 + 4*b**3 + 1 + 3*b**2.
(b - 1)*(b + 1)*(4*b - 1)
Let w(l) = 5*l**4 + 8*l**3 + 6*l**2 + 8*l + 1. Let j(f) = -9*f**4 - 15*f**3 - 12*f**2 - 15*f - 2. Let a(y) = 4*j(y) + 7*w(y). Determine p, given that a(p) = 0.
-1
Let o = 15/37 - 863/2220. Let j(z) be the third derivative of 0*z + o*z**5 + 2*z**2 + 0 + 0*z**3 + 0*z**4. Determine i, given that j(i) = 0.
0
Let g(f) = -3*f**4 - 10*f**3 - 4*f**2 + 10*f - 7. Let q(i) = -3*i**4 - 9*i**3 - 3*i**2 + 9*i - 6. Let u(y) = -6*g(y) + 7*q(y). Determine z, given that u(z) = 0.
-1, 0, 1
Let h(i) = -3*i**2 + 5*i + 3. Let v(q) = -8*q**2 + 14*q + 8. Let s(y) = 11*h(y) - 4*v(y). Let b(a) = 2*a**2 + 5*a - 3. Let k(g) = -2*b(g) - 6*s(g). Factor k(w).
2*w*(w - 2)
Let z(y) be the third derivative of y**8/3360 + y**7/252 + y**6/45 + y**5/15 + y**4/12 - 3*y**2. Let x(g) be the second derivative of z(g). Factor x(k).
2*(k + 1)*(k + 2)**2
Let f(r) be the third derivative of r**9/30240 + r**8/5040 + r**5/60 - 4*r**2. Let q(x) be the third derivative of f(x). What is i in q(i) = 0?
-2, 0
Factor 2/13*i**2 + 0*i + 0.
2*i**2/13
Let s(h) be the second derivative of h**8/840 - h**6/180 - h**3/3 - 2*h. Let x(b) be the second derivative of s(b). Find t such that x(t) = 0.
-1, 0, 1
Let b = 408 + -406. Suppose -2/17*u + 2/17*u**b - 2/17*u**4 + 0 + 2/17*u**3 = 0. Calculate u.
-1, 0, 1
Let w = -22085/141117 - 1/2767. Let l = 3/17 - w. Factor 2/3*g**3 + 1/3*g**2 + 0*g + 0 + l*g**4.
g**2*(g + 1)**2/3
Let d = 26/63 + -4/21. Let t(z) be the third derivative of -7/36*z**5 + d*z**3 - z**2 + 0 + 0*z + 1/18*z**4. Determine l, given that t(l) = 0.
-2/7, 2/5
Let j(w) = -2*w**4 + 6*w**3 - 6*w**2 + 7*w. Let i(b) = -b**4 + 3*b**3 - 3*b**2 + 3*b. Let m(r) = 15*i(r) - 6*j(r). Let m(d) = 0. What is d?
0, 1
Let i(t) be the third derivative of t**7/105 - t**6/30 + t**5/30 - 28*t**2. Let i(u) = 0. Calculate u.
0, 1
Let m(j) be the second derivative of j**6/195 + j**5/65 - j**4/78 - 2*j**3/39 + 6*j. What is d in m(d) = 0?
-2, -1, 0, 1
Let m(p) be the third derivative of -p**8/224 - p**7/140 + p**6/80 + p**5/40 - 5*p**2. Suppose m(b) = 0. Calculate b.
-1, 0, 1
Suppose -4*l + 21 = -5*p, -4*l + 2*p + 9 = -9. Factor -30*j**3 + 3*j**2 + 31*j**3 + j**4 - l*j**2 - j.
j*(j - 1)*(j + 1)**2
Let p = 4 + -1. Let y(j) = j**2 - j - 4. Let b be y(p). Suppose 8*i**b - 5 + i**5 - 2*i**4 - 2*i**3 + 3 + 0 - 7*i + 4 = 0. What is i?
-2, 1
Let d = 7/12 + -1/3. Determine x, given that -5/4*x + 1/2 + x**2 - d*x**3 = 0.
1, 2
Let r be 2/(-4)*16/(-10). Solve 4/5*j**2 - 4/5*j**3 - 4/5 + r*j = 0 for j.
-1, 1
Let z(v) = -4*v**3 + v + 3. Let y(x) = x**3 + x**2 - x - 1. Let s(g) = -3*y(g) - z(g). Determine w, given that s(w) = 0.
0, 1, 2
Let m(h) be the first derivative of -6 - 3/4*h + 1/12*h**3 + 1/4*h**2. What is w in m(w) = 0?
-3, 1
Suppose -2*x + 38 = 4*a, 2*a + 0*x - 13 = x. Let o = 13 - a. Suppose -o*y**2 + 7*y**2 - 2 + 0*y**2 = 0. Calculate y.
-1, 1
Let r(n) = 10*n - 15. Let t be r(2). Determine a, given that 0*a**3 - 2/7*a - 4/7*a**2 + 0 + 2/7*a**t + 4/7*a**4 = 0.
-1, 0, 1
Let f(s) be the first derivative of -s**8/336 - s**7/105 + s**5/30 + s**4/24 + 3*s**2/2 - 3. Let m(r) be the second derivative of f(r). Factor m(d).
-d*(d - 1)*(d + 1)**3
Let d(q) = -4*q**5 + 8*q**3 + 4*q. Let b(c) = 4*c**5 - c**4 - 7*c**3 + c**2 - 3*c. Let h(u) = -4*b(u) - 3*d(u). Factor h(t).
-4*t**2*(t - 1)**2*(t + 1)
Suppose -5*o = -v + 5, -v + 3*o + 8 = 5. Let j(g) be the third derivative of 1/12*g**3 + v - 1/120*g**5 + 0*g**4 + 0*g + 3*g**2. Factor j(q).
-(q - 1)*(q + 1)/2
Let k(w) be the second derivative of w**7/126 + w**6/45 + w**5/60 + 8*w. Factor k(g).
g**3*(g + 1)**2/3
Let o = 2/63 - -59/126. Let a(k) be the first derivative of 1/5*k**5 + 0*k + 3/4*k**4 + k**3 + 4 + o*k**2. Solve a(z) = 0 for z.
-1, 0
Factor 6/7*g**2 - 4/7*g**3 + 0*g - 2/7*g**4 + 0.
-2*g**2*(g - 1)*(g + 3)/7
Let w = -27 - -111/4. Factor w*u**4 + 1/4*u**5 + 1/2*u**3 - 1/4 - 1/2*u**2 - 3/4*u.
(u - 1)*(u + 1)**4/4
Let v(l) be the second derivative of l**6/360 + l**5/180 - l**4/36 - l**2 + 5*l. Let q(t) be the first derivative of v(t). Factor q(c).
c*(c - 1)*(c + 2)/3
Suppose 0 = -o + 4, f + f + 2*o - 16 = 0. Let g be 104/32 - 1/f. Determine m, given that 20/7*m**g + 10/7*m**4 + 2/7*m**5 + 10/7*m + 2/7 + 20/7*m**2 = 0.
-1
Let p(z) = z - 3. Let f be p(5). Determine l so that -2*l**3 - 6*l**4 + 28*l**5 + 4 + 2*l**f - 44*l**3 + 0*l**2 + 15*l + 3*l = 0.
-1, -1/2, -2/7, 1
Let v(x) be the first derivative of -x**4 - 2/5*x**5 + 0*x**2 - 2 - 2/3*x**3 + 0*x. Factor v(m).
-2*m**2*(m + 1)**2
Let z = 5 + -2. Find o, given that 3*o + o**4 - 6*o**2 - 5*o - 6*o**3 - z*o**4 = 0.
-1, 0
Let q(g) be the first derivative of -13/3*g**3 - 5/4*g**4 + 4*g - 2 - 2*g**2. Factor q(n).
-(n + 1)*(n + 2)*(5*n - 2)
Let s(l) = -3*l**2 + 3*l. Let t(w) = -w + 1. Let n(f) = -s(f) - 3*t(f). Let g(u) = u**2 - 1. Let x(k) = 4*g(k) - n(k). Suppose x(z) = 0. What is z?
-1, 1
Let h be -7 - -1 - (-1 + 1). Let y be (-6)/(-4)*(-16)/h. Factor -y*t**2 - 2*t + 2*t**4 + 2*t**2 + 2*t**3 + 0*t**2.
2*t*(t - 1)*(t + 1)**2
Let w(q) = 12*q**2 + 12*q. Let h(c) = c**2 + c. Let x(r) = 8*h(r) - w(r). Factor x(l).
-4*l*(l + 1)
Factor 4*s**3 + 3*s**3 + 9*s**2 + 5*s**2 + 6*s + s**3.
2*s*(s + 1)*(4*s + 3)
Let d be (10/7)/((-96)/(-56)). Let -1/2*w - 1/6*w**3 + d*w**2 - 3/2 = 0. What is w?
-1, 3
Let i(w) = -w**2 - w + 4. Let d be i(0). Determine o so that 4*o**3 + 2*o**5 - 6*o - o**2 - o + 7*o - 5*o**d = 0.
0, 1/2, 1
Let v(t) be the third derivative of t**7/1890 + t**6/180 - 2*t**5/135 - t**4/36 + 7*t**3/54 - 3*t**2 + 2. Let v(p) = 0. Calculate p.
-7, -1, 1
Let m be -38 - -33 - (1 + -8). Factor 0 - 1/5*c**3 - 1/5*c**4 + 1/5*c**5 + 1/5*c**m + 0*c.
c**2*(c - 1)**2*(c + 1)/5
Suppose 5 = z - t, -z - 3*z = t - 10. Let f be 75/20 - z/(-12). Determine c, given that c**2 - 1/3*c + 0 - c**3 + 1/3*c**f = 0.
0, 1
Let c(y) be the first derivative of -y**6/15 + 8*y**5/25 - 3*y**4/5 + 8*y**3/15 - y**2/5 - 2. Factor c(f).
-2*f*(f - 1)**4/5
Let c(u) be the first derivative of 8/5*u**6 + 0*u**2 - 24/25*u**5 + 0*u + 2 + 0*u**3 + 3/20*u**4. Find t such that c(t) = 0.
0, 1/4
Let u be -2*(7 - (-2 - 0)). Let z(a) = -a**4 - a**3 + a**2 + a + 1. Let p(y) = -10*y**4 - 13*y**3 + 3*y**2 + 5*y + 8. Let w(h) = u*z(h) + 2*p(h). Factor w(c).
-2*(c + 1)**4
Suppose -24 = -4*z + z. Suppose -s - 3*s = -z. Factor 1/5*o + 1/5*o**s - 1/5 - 1/5*o**3.
-(o - 1)**2*(o + 1)/5
Suppose 3*a + 4 - 13 = 0. Let d(l) = -l**4 - 2*l**3 + l**2 + 2*l. Let r(h) = -h**3 + h. Let b(s) = a*r(s) - d(s). Determine m, gi