-20/9*m - 50/9 - 2/9*m**2 = 0.
-5
Suppose d - 7*d**3 + 2*d**2 + 9*d**3 - 5*d**3 = 0. Calculate d.
-1/3, 0, 1
Let r(z) = -21*z**2 + z**3 + 0 + 11*z**2 - 4 + 4*z + 6*z. Let f be r(9). Suppose 0 - 1/5*l**f + 2/5*l - 1/5*l**4 + 3/5*l**3 + l**2 = 0. What is l?
-1, 0, 2
Let v = 36 - 47. Let t be v/(-45) + 15/75. Factor -t*p**2 + 0 - 2/9*p.
-2*p*(2*p + 1)/9
Let d be (856/(-120) + 7)*1/(-4). Let u(f) be the second derivative of 2*f - 1/9*f**4 + d*f**5 - 1/9*f**3 + 0 + 2/3*f**2. Find r, given that u(r) = 0.
-1, 1, 2
Let b(k) be the first derivative of k**4/24 - k**3/6 + k**2/4 + k - 4. Let n(h) be the first derivative of b(h). Factor n(q).
(q - 1)**2/2
Solve 20*v - 24*v**5 - 16*v**4 + 20*v**5 - v**3 + 8 - 2*v**3 - 13*v**3 + 8*v**2 = 0 for v.
-2, -1, 1
Factor 2*g**2 - 7*g + 28 + g - 24.
2*(g - 2)*(g - 1)
Let t(k) be the third derivative of -k**2 + 0*k - 1/140*k**6 + 0*k**3 + 1/70*k**5 + 1/735*k**7 - 1/84*k**4 + 0. Factor t(z).
2*z*(z - 1)**3/7
Let v(g) be the first derivative of -4*g**3/3 - 4*g**2 - 1. Let v(o) = 0. Calculate o.
-2, 0
Let y = -1/4 + 7/12. Factor y - 1/3*p + 1/3*p**3 - 1/3*p**2.
(p - 1)**2*(p + 1)/3
Let z(k) = 5*k**2 + 1. Let j(y) = 7*y**2 + 2. Let l(u) = 5*j(u) - 8*z(u). Let a(r) = -6*r**2 + 2. Let n(m) = 3*a(m) - 4*l(m). Solve n(w) = 0.
-1, 1
Let s(x) = x**3 - 12*x**2 - 14*x + 21. Let i be s(13). Let 2/3*m**4 + 8/3 - 4*m**3 + 26/3*m**2 - i*m = 0. Calculate m.
1, 2
Let g be 0/(5 - (-8)/(-2)). Factor g - 2/3*x**2 + 2/3*x**3 - 2/3*x + 2/3*x**4.
2*x*(x - 1)*(x + 1)**2/3
Suppose -2/3*a**3 + 2*a + 4/3 + 0*a**2 = 0. Calculate a.
-1, 2
Suppose 4*i = i. Let j(s) be the third derivative of -1/24*s**8 - 1/30*s**6 + 0 + 0*s**3 + i*s**5 + 3/35*s**7 + 0*s**4 + 0*s - s**2. Solve j(q) = 0.
0, 2/7, 1
Let o = -47/3 + 18. Solve -o*z**2 - 3*z - 2/3 = 0.
-1, -2/7
Let l(g) be the second derivative of 2*g**2 + 2/3*g**3 + 1/12*g**4 + 0 - g. Let l(x) = 0. What is x?
-2
Let f(o) be the first derivative of 5*o**4/4 - 20*o**3/3 - 25*o**2/2 - 14. Solve f(l) = 0.
-1, 0, 5
Let z(k) = 5*k**3 - 2*k**2 + 2*k - 1. Let x be z(1). Suppose 2 - x = -j. Factor 6/5 - 21/5*a**j - 3*a.
-3*(a + 1)*(7*a - 2)/5
Let v(d) be the third derivative of -d**7/1155 - d**6/660 + d**5/330 + d**4/132 + 14*d**2. Solve v(h) = 0 for h.
-1, 0, 1
Let a(d) be the third derivative of -1/24*d**4 + 0*d**3 - 1/336*d**8 - 1/15*d**5 - 1/20*d**6 - d**2 - 2/105*d**7 + 0*d + 0. Determine u so that a(u) = 0.
-1, 0
Let x = 5 + -1. Factor 2*r**5 + 4*r - 6*r**2 + 9*r**4 - 4*r + 2*r**3 - x*r - 3*r**4.
2*r*(r - 1)*(r + 1)**2*(r + 2)
Let s(g) be the second derivative of 2/3*g**3 + 0 + g + 1/6*g**4 + 0*g**2. Factor s(w).
2*w*(w + 2)
Let d be ((-6)/(-7))/((-4)/(-14)). Suppose d*w - 6 = -0. Solve -2/3*b**w + 0*b + 0 = 0.
0
Let f(v) = 5*v**4 - 2*v**3 + 8*v + 8. Let l(y) = 2*y**4 - y**3 + 3*y + 3. Let c(p) = 3*f(p) - 8*l(p). Factor c(b).
-b**3*(b - 2)
Suppose 96*u**3 - 452*u**2 - 597*u**2 - 12288 - 3*u**4 - 103*u**2 + 6144*u = 0. Calculate u.
8
Let 0*t + 0 - 1/3*t**2 = 0. Calculate t.
0
Solve -22*z - 5 + 6*z**2 + 5 + 3 + 17 = 0.
5/3, 2
Let v(z) be the third derivative of z**6/24 - 5*z**5/12 + 5*z**4/3 - 10*z**3/3 - 28*z**2. Solve v(x) = 0.
1, 2
Let z = 5 + 1. Let b(m) be the second derivative of 0*m**3 + 2*m + 1/10*m**z + 0*m**2 + 1/12*m**4 - 3/20*m**5 - 1/42*m**7 + 0. Factor b(o).
-o**2*(o - 1)**3
Let o = 0 - -4. Let l be (o + -3)*4/8. Factor 0 - m**2 - l*m**3 - 1/2*m.
-m*(m + 1)**2/2
Let k(l) = -l**3 + 4*l**2 - 2*l. Suppose -s + 5*b + 21 = s, -4*s - 3*b = -3. Let c be k(s). Factor -4/3*q + 4/3*q**c - 4/3 + q**2 + 1/3*q**4.
(q - 1)*(q + 1)*(q + 2)**2/3
Let k = 7 + -7. Let q = 7 - 3. Determine v, given that v**3 + k - 1/3*v**q - v**2 + 1/3*v = 0.
0, 1
Let k(p) = 7*p**3 + 2*p**2 - 9*p + 9. Let u = 1 + 3. Let v(t) = 3*t**3 + t**2 - 4*t + 4. Let w(d) = u*k(d) - 9*v(d). Determine f, given that w(f) = 0.
0, 1
Let b(y) = y**3 - 16*y**2 + 40*y + 6. Let w(p) = -5*p**3 + 95*p**2 - 240*p - 35. Let i(z) = -35*b(z) - 6*w(z). Factor i(x).
-5*x*(x - 2)*(x + 4)
Let d(k) = -k**2 - k. Let w(c) = -20*c**3 - 38*c**2 + 10*c. Let n(j) = -6*d(j) + w(j). Factor n(b).
-4*b*(b + 2)*(5*b - 2)
Let w(v) be the third derivative of -v**7/168 + v**6/90 + v**5/120 + 4*v**3/3 - 6*v**2. Let s(r) be the first derivative of w(r). Factor s(z).
-z*(z - 1)*(5*z + 1)
Let t(y) = -y - 1. Let p be t(1). Let q(d) = -2. Let c(r) = r**2 - 5. Let z be ((-20)/2)/(-2 - 0). Let j(x) = p*c(x) + z*q(x). Suppose j(n) = 0. What is n?
0
Let w be 1 - -1*(1 - -3). Let o(a) = -a + 11. Let b be o(8). What is c in 0*c**b - 1/3*c + 1/3*c**w - 2/3*c**2 + 0 + 2/3*c**4 = 0?
-1, 0, 1
Suppose 0 = 2*c - 0*z + 2*z - 22, -2*c + 27 = 3*z. Suppose -c*f + 2 = -5*f. Factor 2 - l**f + 7*l**2 + 2*l**3 - 3*l + 9*l.
2*(l + 1)**3
Let o(v) = 15*v**2 + 10*v + 6. Let y(x) = 5*x**2 + 3*x + 2. Suppose 0*d - 5*d - 17 = 2*s, -4*d = -4*s + 36. Let f(t) = s*o(t) - 11*y(t). Factor f(i).
(i + 1)*(5*i + 2)
Let i(x) be the first derivative of -27*x**4/4 - 6*x**3 - 3*x**2/2 + 3. Factor i(n).
-3*n*(3*n + 1)**2
Let t(k) be the second derivative of k**6/30 - k**4/6 + k**2/2 + 14*k. Find v, given that t(v) = 0.
-1, 1
Let x be (4/(-10))/(24/(-20))*0. Let n(r) be the second derivative of 0 + 0*r**2 - 1/5*r**5 + x*r**3 + 1/12*r**4 - 4*r. Factor n(f).
-f**2*(4*f - 1)
Let g(h) be the second derivative of h**5/25 - 2*h**3/5 - 4*h**2/5 - 23*h. Suppose g(k) = 0. Calculate k.
-1, 2
Let j be 117/130 - ((-1)/2)/(-1). What is p in p**3 + 0 + 3/5*p**2 - j*p = 0?
-1, 0, 2/5
Factor -8 + 6 + 5*s - 4*s**2 + 7*s**2.
(s + 2)*(3*s - 1)
Let c(n) be the first derivative of 6*n**3/17 + 12*n**2/17 + 8*n/17 - 10. Factor c(p).
2*(3*p + 2)**2/17
Let j(y) be the second derivative of y**6/1080 + y**5/120 + y**4/36 - y**3/2 - 3*y. Let a(l) be the second derivative of j(l). Determine o so that a(o) = 0.
-2, -1
Factor -k + 0*k**3 - 9 - 2*k + 7 + k**3.
(k - 2)*(k + 1)**2
Let l(r) be the first derivative of -r - 2*r**3 + r**4 + 2*r**2 - 1/5*r**5 - 2. Factor l(k).
-(k - 1)**4
Let y be 7/2*12/14. Suppose -4 = -0*b - b + n, -5*b - 12 = y*n. Factor -4/7*r**3 - 2/7*r**4 + b*r**2 + 2/7 + 4/7*r.
-2*(r - 1)*(r + 1)**3/7
Let l(d) be the second derivative of -2*d + 0 + 4*d**2 + 4/3*d**4 + 1/5*d**5 + 10/3*d**3. Factor l(n).
4*(n + 1)**2*(n + 2)
Let h = -10 + 12. Suppose 6*b - 3*b = -5*s + 10, -3*b + 4*s - 8 = 0. Factor 1/4*j - 1/2*j**h + b + 1/4*j**3.
j*(j - 1)**2/4
Let b(w) be the first derivative of -4*w**5/5 + 4*w**4 + 24*w**3 + 40*w**2 + 28*w + 5. Factor b(n).
-4*(n - 7)*(n + 1)**3
Let m(d) be the first derivative of 2/15*d**3 + 3 + 0*d - 1/20*d**4 + 0*d**2. Factor m(x).
-x**2*(x - 2)/5
Suppose -4*c = -7*c. Let v = c + 2. Let -6/5*b**v - 6/5*b - 2/5 - 2/5*b**3 = 0. Calculate b.
-1
Let h(u) be the second derivative of u**7/7560 - u**6/1080 + u**5/360 + u**4/12 - 3*u. Let c(f) be the third derivative of h(f). Factor c(m).
(m - 1)**2/3
Let f be 50/(-55)*1/(-2). Let d(j) be the first derivative of -2/11*j + 6/11*j**2 - 6/55*j**5 - 1 - 8/11*j**3 + f*j**4. Factor d(q).
-2*(q - 1)**3*(3*q - 1)/11
Suppose 5*p - u - 18 = 0, -2 = 2*p - u - 8. Suppose -i**p - 5*i**2 + 2*i**2 + 3*i**3 - 6*i + 4*i + 3*i = 0. What is i?
0, 1
Let t(f) be the first derivative of 3*f**4/2 - 20*f**3/3 + 9*f**2 - 4*f + 20. Let t(n) = 0. What is n?
1/3, 1, 2
Let j(o) = -o**3 - 3*o**2 + 2*o + 2. Let s be ((-44)/(-16))/(1/(-4)). Let d(z) = 5*z**3 + 16*z**2 - 10*z - 11. Let w(h) = s*j(h) - 2*d(h). Factor w(i).
i*(i - 1)*(i + 2)
Let k**4 + 374*k**3 - 374*k**3 + k**5 = 0. What is k?
-1, 0
Suppose 4*d + 3*s + 29 = 8*d, -3*d - 5*s + 58 = 0. Determine o, given that -d*o + 5 - o + 3 + 4*o**3 = 0.
-2, 1
Let p(n) = n**3 - 11*n**2 + 3. Let c be p(11). Determine k, given that 1/2*k**4 - 1/6*k**c + 0*k**2 - 1/3*k**5 + 0 + 0*k = 0.
0, 1/2, 1
Let c(x) = -x**2 - 1. Let y(p) = -2*p**2 - 4*p - 2. Let d be y(-2). Let g(h) = -3 - 2*h + 3. Let z(q) = d*g(q) + 2*c(q). Determine o, given that z(o) = 0.
1
Suppose -32*o = -30*o. Find h such that 0*h + o + 0*h**3 - 3/2*h**4 + 3/2*h**2 = 0.
-1, 0, 1
Let x be 0 + 1 + 2 + 13. Suppose -4*i + x = 4*t + t, 19 = 5*t + i. Solve t*o**3 - 2*o**3 + 0*o**2 + 2*o**2 = 0 for o.
-1, 0
What is f in -12 + 5 + 20*f + 7 - 4*f**2 = 0?
0, 5
Let k(f) be the third derivative of 0*f**3 + 1/45*f**5 + 0*f + 1/504*f**8 - 1/36*f**4 - 3*f**2 - 2/315*f**7 + 0*f**6 + 0. Factor k(w).
2*w*(w 