 -z**8/112 - 4*z**7/35 - 5*z**6/8 - 19*z**5/10 - 7*z**4/2 - 4*z**3 - 15*z**2. Solve l(x) = 0.
-2, -1
Let y(h) be the first derivative of h**4/30 - 4*h**3/45 - h**2/15 + 4*h/15 - 16. Find d such that y(d) = 0.
-1, 1, 2
Suppose 4*v = l - 0*l + 16, -2*l + 23 = 3*v. Suppose -4*q = v*y - 6, -3*q - 2*q = -2*y + 9. Factor -3*u - 5*u**2 - 4*u**2 + 3*u**y + 3*u**2 + 6.
-3*(u - 1)*(u + 2)
Let l(p) be the third derivative of -2/3*p**3 + 0*p + 0 - 1/6*p**4 + 4*p**2 - 1/60*p**5. Solve l(q) = 0 for q.
-2
Suppose 520 = -k + 5*k. Solve 24*q + 1372*q**3 + 458*q**2 + 60*q + k*q**2 + 4 = 0.
-1/7
Suppose 3*r = -15 - 21. Let i be r/8*4/(-18). Factor -i*j**2 + 1/3 - 1/3*j + 1/3*j**3.
(j - 1)**2*(j + 1)/3
Let a = 40 + -23. Determine i so that 122*i**4 + a*i**3 - 24*i**5 + 7*i**2 - 68*i**3 - 19*i**2 - 39*i**5 + 4*i = 0.
-2/7, 0, 2/9, 1
Let q = -104 - -529/5. Factor 3*m**2 - 6/5 + q*m.
3*(m + 1)*(5*m - 2)/5
Let u = -125 - -125. Factor 0*r**2 + 8/7*r**4 + 0*r + 8/7*r**3 + 2/7*r**5 + u.
2*r**3*(r + 2)**2/7
Suppose 10 = 3*u - 2. Factor u*v**4 - 5*v**4 - 2*v**3 - v**4.
-2*v**3*(v + 1)
Let w(q) be the first derivative of 8 - 8/45*q**3 + 0*q + 1/30*q**4 + 4/15*q**2. Suppose w(j) = 0. Calculate j.
0, 2
Let i(r) = -9*r + 94. Let y be i(10). Let p(a) be the first derivative of -a**4 - y + 0*a - 5/3*a**3 - 1/5*a**5 - a**2. Suppose p(z) = 0. What is z?
-2, -1, 0
Let k(f) be the second derivative of 0 - 9/20*f**5 + 1/10*f**6 - 3*f + 3/14*f**7 + 0*f**3 - 1/4*f**4 + 0*f**2. Let k(v) = 0. What is v?
-1, -1/3, 0, 1
Let v be (8/5)/((-4)/(-10)). Let p(m) = m**3 - 5*m**2 + 6*m - 5. Let u be p(v). Let -3*r**3 + r - 1 - 3*r**2 + r**3 - 4*r + r**u = 0. Calculate r.
-1
Let y(a) be the second derivative of a**7/3 - 2*a**6/15 - 7*a**5/10 + a**4/3 + 38*a. Let y(d) = 0. Calculate d.
-1, 0, 2/7, 1
Let j be (((-8)/(-50))/1)/((-4)/(-20)). Factor -j*r - 2/5*r**2 - 2/5.
-2*(r + 1)**2/5
Factor 2/5*p**4 + 0 + 12/5*p**3 + 18/5*p**2 + 8/5*p.
2*p*(p + 1)**2*(p + 4)/5
Factor 0 + 0*z - 2/7*z**3 - 6/7*z**2.
-2*z**2*(z + 3)/7
Let n(j) = j. Let m be n(4). Factor -4*o**m - 3*o**2 + o**4 + 6*o**4 + 0*o**4.
3*o**2*(o - 1)*(o + 1)
Suppose -z = -4*z + 3*v, 0 = -3*v + 6. Let o be (-1*6/z)/(-1). What is x in -7*x**3 - 4*x**2 - 8*x**2 + 103*x**o - 54*x**4 - 177*x**4 + 147*x**5 = 0?
0, 2/7, 1
Let y = 2/993 + 3958/6951. Factor 2/7*n + 2/7*n**2 - y.
2*(n - 1)*(n + 2)/7
Let n(w) = 5*w**2 - 2 + 0*w**2 + 4 - w. Let k(r) = -11*r**2 + r - 4. Let o(u) = 3*k(u) + 7*n(u). Factor o(f).
2*(f - 1)**2
Let x be 29/5 + 36/(-45). Suppose -3*d - 15 = 0, -2*d = -x*n - d + 15. Factor 1/3 + r**n + 1/3*r**3 + r.
(r + 1)**3/3
Suppose -4*i - 5*j = -6, 2*j + 10 + 14 = 5*i. Factor 2/11*z**i - 4/11*z - 2/11 + 0*z**2 + 4/11*z**3.
2*(z - 1)*(z + 1)**3/11
Suppose -4*t = -3*i - 0*i - 20, -12 = 3*t. Let c be (-2)/(-3) + 4/i. Factor 0 - c*q**4 + 0*q**3 + 0*q + 0*q**2 - 1/3*q**5.
-q**4*(q + 1)/3
Let x(k) = 19*k**2 - 6*k - 25. Suppose -17 = 3*s + 1. Let v(h) = -9*h**2 + 3*h + 12. Let c(i) = s*x(i) - 13*v(i). Factor c(r).
3*(r - 2)*(r + 1)
Suppose -3*h - h = 0. Let k(i) be the third derivative of 0 + 1/21*i**3 + 1/28*i**4 - 2*i**2 - 2/105*i**5 + h*i. Factor k(s).
-2*(s - 1)*(4*s + 1)/7
Let y be (-36)/(-15) - (-2)/(-5). Let -22 + 3*a**2 + 22 + 3*a**3 + 0*a**y = 0. What is a?
-1, 0
Let s = -40 + 46. Factor -s*f**2 + 4/3*f + 0 + 14/3*f**3.
2*f*(f - 1)*(7*f - 2)/3
Let z(d) be the first derivative of d**5/150 + d**4/60 - 2*d**3/15 + 2*d**2 - 7. Let n(t) be the second derivative of z(t). Suppose n(p) = 0. Calculate p.
-2, 1
Factor 2/3*x**4 + 4/3*x**3 + 2/3 - 2/3*x**5 - 4/3*x**2 - 2/3*x.
-2*(x - 1)**3*(x + 1)**2/3
Let v(u) = u**3 - 4*u**2 + 2*u + 2. Let q be v(3). Let g be ((-27)/(-36))/(q/(-4)). Factor -2/9*k - 2/9*k**2 + 2/9*k**g + 0 + 2/9*k**4.
2*k*(k - 1)*(k + 1)**2/9
Let 2/9*g**2 + 4/3 - 14/9*g = 0. Calculate g.
1, 6
Let l(j) be the second derivative of j**6/600 - 3*j**5/200 + j**4/20 - j**3/6 - 2*j. Let c(n) be the second derivative of l(n). Factor c(w).
3*(w - 2)*(w - 1)/5
Let i(o) be the second derivative of -o**4/30 + 4*o**3/15 - 4*o**2/5 - o - 5. Solve i(v) = 0.
2
Let r(x) be the third derivative of 0 + x**3 + 0*x - 1/10*x**5 - 1/40*x**6 - 2*x**2 + 1/8*x**4. Solve r(a) = 0 for a.
-2, -1, 1
Determine o so that 0 - 8/5*o**2 - 2/5*o**3 - 8/5*o = 0.
-2, 0
Find x such that -10/11*x**2 - 2/11*x**3 - 14/11*x - 6/11 = 0.
-3, -1
Determine f, given that 2/3*f**3 - 2/3*f**4 + 0*f**2 + 0 + 0*f = 0.
0, 1
Let l(d) = 20*d - 4. Let b be l(7). Suppose 5*z**5 - 138*z**3 - 4*z**5 + b*z**3 + z = 0. What is z?
-1, 0, 1
Let a(z) = z**3 + 3*z**2 - 4*z. Let g be a(-4). Determine i, given that 0 + 0*i**2 + 0*i**3 - 1/5*i**4 + g*i = 0.
0
Let a(q) = 2*q**4 - 2*q**3 - 11*q**2 + 11*q. Let p(z) = -2*z**4 + 2*z**3 + 10*z**2 - 10*z. Let m(c) = -2*a(c) - 3*p(c). Factor m(f).
2*f*(f - 2)*(f - 1)*(f + 2)
Suppose 0 = -4*x - x + 25. Factor 0 - x*o + o**2 + 3*o + 1.
(o - 1)**2
Let f(t) be the first derivative of -t**6/24 - 3*t**5/20 - 3*t**4/16 - t**3/12 - 12. Factor f(a).
-a**2*(a + 1)**3/4
Suppose -i**3 + 0 - 2/3*i**2 - 1/6*i**5 - 2/3*i**4 - 1/6*i = 0. Calculate i.
-1, 0
Let o(g) = -20*g**3 - 20*g**2 - 5*g + 15. Let r(m) = -m**3 + m + 1. Let u(v) = -o(v) + 15*r(v). What is p in u(p) = 0?
-2, 0
Let x(m) = 3*m**2. Let d be x(-1). Suppose -3*z + 6*z - 6 = 0. Solve -g**z + 0*g - d*g + 6 - 8 = 0.
-2, -1
Factor 3*a**3 + 26*a**2 + 45*a + 16 + 11 + 2*a**2 - 7*a**2.
3*(a + 1)*(a + 3)**2
Let k(m) be the first derivative of -m**4/32 - 3*m**3/8 - 15*m**2/16 - 7*m/8 + 18. Suppose k(g) = 0. What is g?
-7, -1
Let z(c) be the third derivative of -1/36*c**4 + 0*c**3 + 4/315*c**7 - 2*c**2 + 0*c - 1/504*c**8 - 1/30*c**6 + 2/45*c**5 + 0. Solve z(s) = 0.
0, 1
Let z(l) be the third derivative of -l**8/112 - l**7/10 - 19*l**6/40 - 5*l**5/4 - 2*l**4 - 2*l**3 + 17*l**2. Factor z(p).
-3*(p + 1)**3*(p + 2)**2
Let h(d) be the third derivative of d**5/150 + d**4/15 - d**3/3 + 27*d**2 + 2*d. Factor h(c).
2*(c - 1)*(c + 5)/5
Suppose 7*y = 2*y + 15. Suppose -n - 5*d - 17 = -2*n, -3*d = -y*n + 27. Factor 3*w**5 + 2*w**3 + 6*w**4 + 0*w**3 - n*w**5 - 4*w**3.
-2*w**3*(w - 1)*(2*w - 1)
Let q be (-1)/(-1 - (-1)/2). Let v = 420 - 420. Suppose 1/3*b**5 + 0*b - 1/3*b**3 + v + 1/3*b**q - 1/3*b**4 = 0. What is b?
-1, 0, 1
Let b = 1 + -12. Let r = 14 + b. Let 0*d + d**r + 1/3*d**2 + d**4 + 1/3*d**5 + 0 = 0. Calculate d.
-1, 0
Suppose 3*h + 5*w = 21, 5*h + 9*w - 4*w - 25 = 0. Find d, given that 0 + 0*d + 2/13*d**h = 0.
0
Let y(s) = -8*s**2 - 31*s + 32. Let r(v) = -4*v**2 - 16*v + 16. Let h(c) = -7*r(c) + 4*y(c). Find g, given that h(g) = 0.
-4, 1
Suppose 5*y - 24 - 21 = -5*k, -33 = -2*y - 5*k. Suppose -4*n + 2*n = y*d - 12, 0 = 4*d - 4*n. Factor 1/2*h**3 + 3/2*h**d + 3/2*h + 1/2.
(h + 1)**3/2
Let f(g) = -3*g**4 - 3*g**3 + 3*g**2. Let m(s) = -6*s**4 - 6*s**3 + 6*s**2 - s. Let n(o) = -7*f(o) + 3*m(o). Factor n(v).
3*v*(v - 1)*(v + 1)**2
Let x(u) = u**3 - u**2 + 2*u. Let v be x(1). Let q(y) be the first derivative of 3 - 2/21*y**3 + 0*y**v + 0*y. Factor q(d).
-2*d**2/7
Let y(t) = -11*t**3 - 21*t**2 - 37*t - 27. Let x(c) = -4*c**3 - 7*c**2 - 12*c - 9. Let f(m) = -8*x(m) + 3*y(m). Factor f(n).
-(n + 1)*(n + 3)**2
Factor 2 + 57*c**3 + 2*c**4 - 4*c**2 - 57*c**3.
2*(c - 1)**2*(c + 1)**2
Determine c so that 6/7*c**4 - 12/7 - 34/7*c**2 - 2/7*c**3 - 38/7*c = 0.
-1, -2/3, 3
Suppose 0 = -5*p + 5, -p - 11 = -5*a - 2*p. Factor 1/4 - 1/2*v + 1/4*v**a.
(v - 1)**2/4
Let l = 7 - 17. Let p = -8 - l. Factor 0*h**2 - h**3 + 2*h**p + 4*h - 5*h.
-h*(h - 1)**2
Suppose 3*p = 1 - 7. Let t = 4 + p. Factor s**2 + 2 - 3 + 0*s - t*s + 2.
(s - 1)**2
Let x(z) be the third derivative of 5*z**8/336 - z**7/42 - z**6/4 - 42*z**2. Solve x(u) = 0 for u.
-2, 0, 3
Let p(c) be the second derivative of 0 + 2*c**3 - 15/2*c**4 - 1/2*c**6 + 69/20*c**5 + 12*c**2 + 7*c. Suppose p(w) = 0. What is w?
-2/5, 1, 2
Let d(g) be the second derivative of g**7/210 + g**6/50 - g**5/50 - g**4/10 + g**3/30 + 3*g**2/10 - 38*g. Find m, given that d(m) = 0.
-3, -1, 1
Let z(i) be the third derivative of -i**8/42 + 8*i**7/105 - 7*i**6/80 + 11*i**5/240 - i**4/96 - 7*i**2. Let z(u) = 0. Calculate u.
0, 1/4, 1/2, 1
Let b(t) be the second derivative of -t**7/168 + t**5/20 - t**4/24 - t**3/8 + t**2/4 - 46*t. Find k, given that b(k) = 0.
-2, -1, 1
Let y(j) be the second derivative of -j**8/50400