ppose 3*z + 3 = -m, 5*m + 0*z - 4*z - 42 = 0. Find a such that -10 + 3*a**4 + 4*a**3 + 9 - 2 + 2*a**3 - m*a = 0.
-1, 1
Let q(a) be the first derivative of -8/15*a**3 + 4/25*a**5 + 1/5*a**4 + 2 + 4/5*a - 1/15*a**6 - 1/5*a**2. Solve q(n) = 0 for n.
-1, 1, 2
Suppose -3*v - 2*r = 0, -v + 6*r = 3*r. Suppose 0*s**2 - 2/3*s**4 + 0*s**3 - 1/3*s**5 + 0 + v*s = 0. Calculate s.
-2, 0
Let d(r) be the second derivative of r**7/3360 + r**6/1440 - 2*r**3/3 + 4*r. Let b(i) be the second derivative of d(i). Suppose b(h) = 0. Calculate h.
-1, 0
Let 1/3*m - 1/3*m**3 + 0 - 1/6*m**2 + 1/6*m**4 = 0. What is m?
-1, 0, 1, 2
Let n(k) be the first derivative of -2*k**6/3 - 7*k**5/5 - 2*k**4/3 + k + 7. Let i(r) be the first derivative of n(r). Factor i(u).
-4*u**2*(u + 1)*(5*u + 2)
Let r(y) be the third derivative of -y**10/90720 + y**8/10080 - y**6/2160 - 7*y**4/24 - y**2. Let g(d) be the second derivative of r(d). Solve g(v) = 0 for v.
-1, 0, 1
Factor -1/3*c**2 + 0 + 2/3*c + 1/3*c**4 - c**3 + 1/3*c**5.
c*(c - 1)**2*(c + 1)*(c + 2)/3
Let n(p) be the first derivative of p**6/60 - p**5/30 - p**4/12 + p**3/3 + p**2 + 2. Let d(t) be the second derivative of n(t). Factor d(h).
2*(h - 1)**2*(h + 1)
Let v(j) = 2*j**4 - 2*j**3 - 3*j**2. Let a(l) = 5*l**4 - 5*l**3 - 7*l**2. Let o = -11 + 18. Let f(x) = o*v(x) - 3*a(x). Factor f(n).
-n**3*(n - 1)
Let o = -60 - -63. Let r(k) be the first derivative of 2/15*k**5 + 0*k**2 + 1/2*k**4 + 0*k + 4/9*k**o - 3. Factor r(c).
2*c**2*(c + 1)*(c + 2)/3
Let j(d) be the second derivative of -d**4/15 - 24*d**3/5 - 648*d**2/5 - 34*d + 2. Factor j(v).
-4*(v + 18)**2/5
Factor 32*q**2 - 3*q - 4*q**3 - 92*q + 11*q + 72.
-4*(q - 3)**2*(q - 2)
Let f(g) be the second derivative of -g**7/2520 - g**4/4 + g. Let a(o) be the third derivative of f(o). Factor a(q).
-q**2
Factor 64 - 80/3*m - 1/3*m**4 - 4*m**2 + 3*m**3.
-(m - 4)**3*(m + 3)/3
Let i(s) be the second derivative of -1/21*s**3 + 0*s**2 - 4*s + 0*s**4 + 0 + 1/70*s**5. Let i(n) = 0. What is n?
-1, 0, 1
Suppose -9/4*k**2 + 0 + 3/2*k**3 + 0*k - 1/4*k**4 = 0. Calculate k.
0, 3
Let n be 3/(2 - (0 + 1)). Let q be n/((-1)/(-2) + 1). Factor 6*m**q - m**4 - 7*m**3 - 2*m + m**3 + 3*m**4.
2*m*(m - 1)**3
Let b(a) be the third derivative of -a**6/60 + a**5/10 - 31*a**2. Find q, given that b(q) = 0.
0, 3
Let p(f) be the second derivative of -3*f**5/20 - 11*f**4/4 - 35*f**3/2 - 75*f**2/2 - 15*f. What is t in p(t) = 0?
-5, -1
Suppose 3*p = -5*m - p + 32, -5*m - p = -23. Let u be 46/4 + 1/2. Let 2*f**2 - 2*f**3 + u*f**3 - 2*f + 4*f**m + 2*f**4 = 0. What is f?
-1, 0, 1/3
Let x(t) be the third derivative of -t**7/70 + t**5/20 - 36*t**2. Let x(n) = 0. Calculate n.
-1, 0, 1
Let j(h) be the third derivative of 1/20*h**4 + 0*h + 0*h**5 + 0 - 1/75*h**6 - 1/15*h**3 - 3*h**2. Determine m, given that j(m) = 0.
-1, 1/2
Let k(r) be the third derivative of 0*r**4 + 0*r**6 + 0 + 0*r + 0*r**3 + 1/20*r**5 - 3*r**2 - 1/70*r**7. What is g in k(g) = 0?
-1, 0, 1
Suppose 5*j = 228 - 83. Suppose j - 4 = 5*s, -15 = 4*l - 3*s. What is i in 0 + l*i + 14*i**4 + 16/3*i**3 - 8/3*i**2 = 0?
-2/3, 0, 2/7
Let p(k) be the third derivative of -2*k**7/105 + k**6/6 - 3*k**5/5 + 7*k**4/6 - 4*k**3/3 - 5*k**2. Let p(b) = 0. Calculate b.
1, 2
Suppose 6 = -3*q + 2*j - 5*j, 5*j + 12 = -4*q. Let s(o) be the second derivative of 0 - 1/5*o**3 - 4*o - 1/10*o**5 - 3/10*o**4 + 1/5*o**q. Factor s(p).
-2*(p + 1)**2*(5*p - 1)/5
Let y be 4/(-3 + 2) - -4. Let f(g) be the third derivative of -1/420*g**6 + 0 - 1/210*g**5 + 1/735*g**7 + y*g + 1/84*g**4 + 0*g**3 - g**2. Solve f(a) = 0.
-1, 0, 1
Let j(m) be the first derivative of -m**2/2 + 3. Let n(o) = -o**2 + 2*o + 2. Let h(i) = -6*j(i) - 2*n(i). Factor h(x).
2*(x - 1)*(x + 2)
Solve 4/7*d + 4/7 + 1/7*d**2 = 0 for d.
-2
Let k(t) be the second derivative of t**6/900 + t**5/300 - t**4/30 - t**3/3 + 5*t. Let r(z) be the second derivative of k(z). Suppose r(a) = 0. What is a?
-2, 1
Let a(z) be the third derivative of z**7/8820 + z**6/2520 - z**5/210 + 7*z**4/24 - z**2. Let b(v) be the second derivative of a(v). Let b(o) = 0. Calculate o.
-2, 1
Let b(t) be the first derivative of t**5/110 - t**4/33 + 3*t + 1. Let j(q) be the first derivative of b(q). Determine i, given that j(i) = 0.
0, 2
Let u = 36 + -33. Solve 1/3*b**5 + 0*b - 1/3*b**4 + 0 + 1/3*b**2 - 1/3*b**u = 0 for b.
-1, 0, 1
Let r(x) be the third derivative of -x**8/50400 - x**7/12600 + x**5/12 + 2*x**2. Let g(h) be the third derivative of r(h). Factor g(n).
-2*n*(n + 1)/5
Let x(b) be the second derivative of -b**5/80 + b**4/16 - b**3/8 + b**2/8 - 7*b. Factor x(m).
-(m - 1)**3/4
Let g be 84/18 + 2/6. Factor -8/5*j**3 + 2/5*j**g + 4/5 + 6/5*j + 0*j**4 - 4/5*j**2.
2*(j - 2)*(j - 1)*(j + 1)**3/5
Let u be 56/(-84) - 3/(18/(-4)). Solve 1/4*i**5 + 1/4*i**4 + u*i**2 + 0 + 0*i**3 + 0*i = 0 for i.
-1, 0
Suppose -3*p = p. Suppose -8 = -p*u - u. Determine i, given that -5*i - u*i**4 - 1 - 10*i**2 - i**3 + 3*i**4 - 9*i**3 - i**5 = 0.
-1
Let a(d) = d**2 - 11*d + 21. Let s be a(9). Let w(j) be the third derivative of 0*j**s - 2/75*j**5 + 0*j + 0 + j**2 + 1/60*j**4. Factor w(o).
-2*o*(4*o - 1)/5
Let t(n) be the first derivative of -n**3/2 - 3*n**2/4 + 9*n + 23. Find y, given that t(y) = 0.
-3, 2
Let a(m) = -2*m + m + 1 - 4*m**3 + 5*m**3. Let j(i) = 4*i**3 + 6*i**2 + 4*i + 4. Let l(z) = 2*a(z) - j(z). Suppose l(k) = 0. Calculate k.
-1
Let f = 17 + -15. Factor -2/5*m**3 - 4/5*m**f + 0 + 0*m.
-2*m**2*(m + 2)/5
Let o(y) be the second derivative of 0 + 0*y**2 - 1/15*y**4 - 1/50*y**5 - 1/15*y**3 + y. Factor o(q).
-2*q*(q + 1)**2/5
Factor 2/9*n**4 - 4/9*n**2 + 0*n**3 + 0*n + 2/9.
2*(n - 1)**2*(n + 1)**2/9
Let s(d) be the third derivative of d**5/60 + 7*d**4/12 + 49*d**3/6 - 22*d**2. Solve s(z) = 0.
-7
Let g(s) be the first derivative of 0*s**5 - 1 - s**2 - 1/3*s**6 + s**4 + 0*s + 0*s**3. Factor g(k).
-2*k*(k - 1)**2*(k + 1)**2
Suppose 2 = 4*n - 2*r + r, -3*n + 5*r + 10 = 0. Find a, given that -1/2*a**2 + 3/2*a**3 + 0*a + n + 1/2*a**5 - 3/2*a**4 = 0.
0, 1
Suppose 3*c + 5 + 4 = -2*p, -5*p - 3 = c. What is r in -1/2*r**2 + 1/2*r**4 + 3/2*r**3 + p - r**5 - 1/2*r = 0?
-1, -1/2, 0, 1
Let v = 3104/9 - 344. Factor -2/9 - 8/9*b**3 - 2/9*b**4 - 4/3*b**2 - v*b.
-2*(b + 1)**4/9
Let u(z) = -9*z**2 - 5*z - 7. Let h(y) = 4*y**2 + 2*y + 3. Let d(r) = 7*h(r) + 3*u(r). Factor d(p).
p*(p - 1)
Let g(w) = w**2 - 2*w - 10. Let y be g(-3). What is l in -12/5*l**4 - 4/5*l**3 + 0*l**2 - 8/5*l**y + 0*l + 0 = 0?
-1, -1/2, 0
Let z(s) be the third derivative of -s**8/5880 - s**3/6 - 4*s**2. Let h(r) be the first derivative of z(r). Find w such that h(w) = 0.
0
Let h = -46 - -416/9. Let i be (-5)/(-45) + (-2)/(-6). Solve -2/9*n**2 - h + i*n = 0 for n.
1
Let f(r) = r**2 + 20*r - 12. Let y be f(-19). Let k = y - -33. Factor 0 + 0*i - 1/4*i**k.
-i**2/4
Factor 4/3 + 0*g - 4/3*g**2.
-4*(g - 1)*(g + 1)/3
Suppose 5*t - 3*i = 11, 3*i - 32 = -3*t - 11. Let c(f) be the third derivative of 0*f - f**2 - 1/270*f**5 + 0 + 1/108*f**t + 2/27*f**3. What is p in c(p) = 0?
-1, 2
Let z(r) be the first derivative of 27*r**4/4 - 29*r**3 + 36*r**2 - 12*r - 34. Let z(a) = 0. What is a?
2/9, 1, 2
Let d(i) be the third derivative of i**5/5 - 2*i**4/3 - 8*i**3/3 - 27*i**2. What is c in d(c) = 0?
-2/3, 2
Let n = -12 + 16. Let u be (-2)/n*(-9)/18. Factor -1/4*j**3 + 1/4*j - 1/4*j**2 + u.
-(j - 1)*(j + 1)**2/4
Let f = 19 + -9. Let j be 4 + -5 - f/(-2). Find s such that j*s**3 - 2*s**5 - 2*s - 2*s**2 + 2*s**2 = 0.
-1, 0, 1
Let y(l) = 5*l - 5*l + l - 1 - 2*l. Let g(h) be the third derivative of -h**5/30 + h**4/4 + 4*h**3/3 - 2*h**2. Let n(b) = g(b) + 10*y(b). Factor n(k).
-2*(k + 1)**2
Find l such that -2/3*l + 0 - 2/3*l**2 = 0.
-1, 0
Let t(s) be the first derivative of 3/4*s**3 - 5 + 27/8*s**2 + 27/4*s + 1/16*s**4. Factor t(b).
(b + 3)**3/4
Let x = -4/5 - -13/10. Factor -x*l + 1/4*l**2 + 1/4.
(l - 1)**2/4
Let z(t) = t**2 - t - 1. Let u(y) = 3*y**4 - 7*y**3 - 15*y**2 + 33*y - 3. Let k(c) = u(c) + 5*z(c). Solve k(o) = 0 for o.
-2, 1/3, 2
Let l(g) = 3*g**2 - 2*g - 14. Let j(q) = q + 1. Let u(p) = 2*j(p) + l(p). Determine v, given that u(v) = 0.
-2, 2
Let p(f) be the third derivative of 1/60*f**5 + 1/6*f**3 + 0*f - 1/12*f**4 + 2*f**2 + 0. Factor p(u).
(u - 1)**2
Find i, given that 0 - 1/2*i**2 - 1/2*i = 0.
-1, 0
Suppose 5*m + 4*k - 2 = 0, -2*m + 3 