+ 1)*(5*i + 2)
Let w(h) = h**2 + 2*h + 2. Let d be w(-2). Let g = 77/6 - 73/6. Solve -g*v**d - 2/3 - 4/3*v = 0.
-1
Factor -1/3*x**2 - 1/2*x**3 + 0 + 5/6*x**4 + 0*x.
x**2*(x - 1)*(5*x + 2)/6
Let z(v) be the first derivative of -v**5/420 + v**4/42 - v**3/14 - 4*v**2 - 6. Let b(w) be the second derivative of z(w). Solve b(r) = 0 for r.
1, 3
Let c = -10 + 46. Find m, given that -c*m**2 + 10*m**3 + 9*m - 4*m**4 + 10*m**3 - 8 + 19*m = 0.
1, 2
Let m = -13 + 19. Factor -2*c**3 - c**5 + 5*c**5 + m*c**4 + 4*c**5.
2*c**3*(c + 1)*(4*c - 1)
Let c(g) = -g**2 + g - 1. Let v(p) = -6*p**2 + 6*p + 3. Let a(u) = 3*c(u) - v(u). Factor a(m).
3*(m - 2)*(m + 1)
Suppose 0 - 1/10*p**4 + 2/5*p**2 + 4/5*p - 1/5*p**3 = 0. What is p?
-2, 0, 2
Let b(y) be the second derivative of y**8/1512 - y**7/315 + y**6/180 - y**5/270 + 3*y**2/2 - 2*y. Let z(s) be the first derivative of b(s). Factor z(i).
2*i**2*(i - 1)**3/9
Let v = 25 - 22. Factor -1/2 - 5/2*a**2 - v*a.
-(a + 1)*(5*a + 1)/2
Let o(q) be the first derivative of -3*q**4/2 + 3*q**3 + 9*q**2/2 - 6*q + 11. Factor o(a).
-3*(a - 2)*(a + 1)*(2*a - 1)
Let p(v) be the first derivative of v**8/840 - 5*v**3/3 + 5. Let n(w) be the third derivative of p(w). Factor n(u).
2*u**4
Suppose -8*d + 6 = -6*d + 5*z, 4*d - z - 12 = 0. Let p(q) be the first derivative of 7/12*q**d + 9/4*q - 3 - 15/8*q**2 - 1/16*q**4. Solve p(c) = 0 for c.
1, 3
Let 4/7*n**3 + 0*n + 0*n**2 + 8/7*n**4 + 0 = 0. What is n?
-1/2, 0
Let j(t) be the second derivative of t**10/30240 - t**8/3360 + t**6/720 + 7*t**4/12 + 7*t. Let y(s) be the third derivative of j(s). What is v in y(v) = 0?
-1, 0, 1
Let c(g) = -g - 3. Let v be c(-7). Let h = v - 2. Factor -h*u + 5*u**2 + 5*u**2 + 9*u**3 - 6*u**2 + 8*u**4 + 5*u**3.
2*u*(u + 1)**2*(4*u - 1)
Let l(u) be the second derivative of -7*u**6/135 - 23*u**5/90 - u**4/2 - 13*u**3/27 - 2*u**2/9 - u. Factor l(j).
-2*(j + 1)**3*(7*j + 2)/9
Let o(f) be the first derivative of f**3 - 3*f + 6. Factor o(n).
3*(n - 1)*(n + 1)
Factor 0 - 8/3*c**2 + 0*c**3 + 0*c + 2/3*c**4.
2*c**2*(c - 2)*(c + 2)/3
Let j(x) be the first derivative of -3*x**4/2 + 50*x**3/3 - 8*x**2 + 46. Factor j(b).
-2*b*(b - 8)*(3*b - 1)
Determine g so that -2 + 33*g**2 - 5*g - 16 - 10*g = 0.
-6/11, 1
Factor 0 + 8/5*i + 2*i**3 + 16/5*i**2 + 2/5*i**4.
2*i*(i + 1)*(i + 2)**2/5
Let 3/5*k**5 + 0*k + 0 + 0*k**4 - 3/5*k**3 + 0*k**2 = 0. What is k?
-1, 0, 1
Let c(b) = b - 9. Let k be c(11). Determine m, given that -k*m**2 + 15*m**3 + 2*m**2 - 6*m + 9*m**2 = 0.
-1, 0, 2/5
Let o(p) = p**4 - 10*p**3 + 5*p**2 + 4*p + 6. Let a(v) = v**3 - v - 1. Let f(m) = -6*a(m) - o(m). Suppose f(c) = 0. What is c?
0, 1, 2
Let v be (-26)/10 + -8 + 11. Suppose 0 + v*o**2 + 4/5*o = 0. What is o?
-2, 0
Let b(p) be the second derivative of -p**6/90 - 3*p**5/20 - 7*p**4/9 - 2*p**3 - 8*p**2/3 - 4*p. Find j such that b(j) = 0.
-4, -2, -1
Let r(t) = -t**3 + 16*t**2 + 12. Let p be r(16). Factor 0*w**2 + 2*w**3 + 10*w**3 + 5*w**5 + p*w**4 - w**5 + 4*w**2.
4*w**2*(w + 1)**3
Factor 0 + 1/7*r + 1/7*r**4 - 1/7*r**2 - 1/7*r**3.
r*(r - 1)**2*(r + 1)/7
Let o(h) = -h**3 - h**2 + h. Let t be o(0). Factor 6*z**3 + 5*z**4 + 0*z**3 - 3*z**3 - 2*z**2 + t*z**3.
z**2*(z + 1)*(5*z - 2)
Let f(m) = -m - 5. Let t be f(-11). Let i(y) = -7*y**5 + 2*y**4 - y**3. Let s(o) = 8*o**5 - 2*o**4 + o**3. Let h(r) = t*s(r) + 7*i(r). Factor h(q).
-q**3*(q - 1)**2
Suppose -2/3 - 1/3*h**4 - 1/3*h**3 + h**2 + 1/3*h = 0. Calculate h.
-2, -1, 1
Let q(x) = 2*x**2 + 1. Let p be q(-1). Let z(n) be the first derivative of 1 + 1/9*n**p - 1/6*n**2 + 0*n. Let z(h) = 0. What is h?
0, 1
Factor -24*t + 21/2*t**3 - 15/2*t**2 - 6.
3*(t - 2)*(t + 1)*(7*t + 2)/2
Suppose -3*n = 3*z - 6*n - 21, -27 = -5*z + 3*n. Suppose -5*t + g + 8 = 0, -4*t + t + 2*g + 2 = 0. Find u such that -4*u - 2*u**t - 8/3 - 1/3*u**z = 0.
-2
Let w(q) be the second derivative of q**7/336 + q**6/240 - q**5/80 - q**4/48 + q**3/48 + q**2/16 - 25*q. Factor w(b).
(b - 1)**2*(b + 1)**3/8
Let z(f) be the third derivative of f**5/60 - f**4/24 + 7*f**3/6 - 3*f**2. Let d(n) = -n**2 + n - 5. Let h(s) = 7*d(s) + 5*z(s). Suppose h(v) = 0. Calculate v.
0, 1
Suppose 5*n = -0*n + 50. Find f such that 2*f**5 - 7*f**4 + 25*f**4 + 10*f**3 - n*f**4 + 4*f**2 = 0.
-2, -1, 0
Let m(p) = p**3 - p**2 - p - 1. Let x(z) = z**4 + 2*z**3 - 2*z**2 - 2*z - 2. Let i be (4/8)/((-2)/4). Let q(r) = i*x(r) + 2*m(r). Find c such that q(c) = 0.
0
Let f = 59 - 55. Let 0*s - 1/4*s**3 + 1/4*s**5 + 0 - 1/4*s**f + 1/4*s**2 = 0. Calculate s.
-1, 0, 1
Let v(r) be the third derivative of -r**7/735 + r**6/140 - r**5/210 - r**4/28 + 2*r**3/21 + 32*r**2. What is m in v(m) = 0?
-1, 1, 2
Let u(n) be the first derivative of -n**4/16 + n**3/12 + n**2/8 - n/4 + 13. Find a, given that u(a) = 0.
-1, 1
Let i = -5 - -9. Let g(m) be the first derivative of -1/6*m**3 + 1/4*m**2 - 2 - 1/8*m**i + 1/2*m. Factor g(r).
-(r - 1)*(r + 1)**2/2
Let o(i) be the third derivative of i**6/1080 + i**5/90 + i**4/18 + i**3/2 + 3*i**2. Let g(a) be the first derivative of o(a). Solve g(k) = 0.
-2
Let y(o) = o + 5. Let x be y(-5). Let s(d) = d**3 + 3*d**2 - d + 2. Let c be s(-3). Determine a, given that x*a + 2*a**2 + c*a - 5*a = 0.
0
Let b = -4 - -13. Factor 16*k**2 + 24*k - 16*k - b*k**4 + 4*k**3 + 4*k**2 + k**4.
-4*k*(k - 2)*(k + 1)*(2*k + 1)
Let v(s) be the first derivative of -s**3/12 - s**2/2 - s - 15. Factor v(w).
-(w + 2)**2/4
Suppose 12 = -4*h + 5*n, -4*h + n = -3 - 1. Suppose 0*g + 3*g - 7 = h*a, 3*g - 11 = -2*a. Suppose -2*f**2 + 3*f**4 + g*f**2 - 4*f**2 = 0. Calculate f.
-1, 0, 1
Let m(o) = 5*o + o + 27*o**2 + 11 + 4*o**3 + 2*o - 3*o**3. Let h(w) = -w**3 - 14*w**2 - 4*w - 6. Let n(c) = 11*h(c) + 6*m(c). Find s, given that n(s) = 0.
-2/5, 0, 2
Factor -6/7*c**3 + 0*c - 3/7*c**4 - 3/7*c**2 + 0.
-3*c**2*(c + 1)**2/7
Suppose -2*a = 5*r + 695, -a + 0*a + 5*r = 325. Let y = a - -1367/4. Find o such that -23/4*o**2 - 1 + y*o**3 + 5*o = 0.
2/7, 1, 2
Let z = -18 - -92/5. Determine i so that -2*i**3 + 0 + 2/5*i**2 + 6/5*i**5 + 4/5*i - z*i**4 = 0.
-1, -2/3, 0, 1
Let v(d) be the first derivative of -2 - 5/4*d**2 - 1/12*d**6 + 5/3*d**3 + 1/2*d + 1/2*d**5 - 5/4*d**4. Determine b, given that v(b) = 0.
1
Let g be 9*1*7/21. Let z(a) be the first derivative of 0*a - g + a**2 - 1/3*a**3. Factor z(j).
-j*(j - 2)
Let z be 2/(-4)*10/(-1). Factor 0 - 5*m**2 + 6*m**2 + 0 - 5*m**3 + 3*m**4 + 9*m**z.
m**2*(m + 1)*(3*m - 1)**2
Let q(t) be the first derivative of 2*t**3/27 + 2*t**2/9 - 6. Factor q(l).
2*l*(l + 2)/9
Let j(p) = -20*p**3 - 14*p**2 + 20*p + 14. Let v(m) = 7*m**3 + 5*m**2 - 7*m - 5. Let k(t) = -6*j(t) - 17*v(t). Solve k(f) = 0 for f.
-1, 1
Find r such that -6 + 11*r**2 - 4*r - r**2 + 1 - 1 = 0.
-3/5, 1
Let v = -1386/5 - -280. Let k(d) be the first derivative of 8/3*d**3 + v*d**5 - 8*d**4 + 0*d**2 + 3 + 0*d. Let k(n) = 0. Calculate n.
0, 2/7, 2
Suppose 2*t = 10 - 6. Let -7*c**5 + 7*c**t - 3*c - 10*c**3 + 20*c**4 - c**5 - 8*c**3 + 2*c = 0. Calculate c.
0, 1/2, 1
Suppose 0 = 4*n - 4 - 28. Solve -d + 3*d + 0*d + 12*d**3 + n*d**2 + 8*d**4 + 0*d**3 + 2*d**5 = 0 for d.
-1, 0
Let -25/2*m**5 + 0 + 0*m - 72*m**3 - 195/2*m**4 - 14*m**2 = 0. Calculate m.
-7, -2/5, 0
Find j, given that -6*j**2 - 28*j**3 + 32*j + 7*j**4 - 4*j**5 - 16 + 2*j**2 + 7*j**4 + 6*j**4 = 0.
-1, 1, 2
Let p(b) = -b**3 - 12*b**2 - 9*b + 14. Let k be p(-11). Let u be (-20)/k*(-4)/(-45). Suppose 0 + 2/9*y**5 + 0*y + u*y**2 - 2/9*y**3 - 2/9*y**4 = 0. What is y?
-1, 0, 1
Let p be (-4 - -4) + 2 - 0. Find o, given that 0 - 1/2*o + 1/2*o**3 + 0*o**p = 0.
-1, 0, 1
Let k(w) = 28*w**4 + 52*w**3 + 20*w**2 - 9*w + 5. Let t(b) = 42*b**4 + 78*b**3 + 30*b**2 - 13*b + 7. Let i(u) = 7*k(u) - 5*t(u). Factor i(p).
-2*p*(p + 1)**2*(7*p - 1)
Determine n, given that -3/4*n**2 + 0 - 3/2*n + 3/4*n**3 = 0.
-1, 0, 2
Suppose 0 = -10*d - 6*d. Let c(j) be the first derivative of 0*j + d*j**2 - 2/5*j**5 + 4/3*j**3 + 3 + 1/2*j**4. Suppose c(n) = 0. Calculate n.
-1, 0, 2
Suppose b - 5*b = 20. Let y be (3/2*-2)/b. Factor -3/5*d**2 + y*d**4 + 1/5*d - 1/5*d**3 + 0.
d*(d - 1)*(d + 1)*(3*d - 1)/5
Let b be 34/8 + 1/(-4). Suppose u = 2*w - 3 + 2, -13 = w - 5*u. Let 0 + 0*j - 2/7*j**b - 8/7*j**w - 8/7*j**3 = 0. Calculate j.
-2, 0
Let r be (2/6)/(9/(324/28)). Factor 0*z - 3/7*z**4 + 0 + 0*z**3 + r*z**2.
-3*z**2*(z - 1)*(z + 1)/7
Suppose -5 - 10 = -5*