5 + 4*m**2/5 - 7*m. Determine h, given that v(h) = 0.
-2
Let f = 295/6 - 49. Let g(u) be the second derivative of 0 + u - f*u**4 - u**3 - 2*u**2. Solve g(b) = 0.
-2, -1
Let a(w) be the first derivative of 5*w**3 - 4*w**3 + 3 - 2*w**3 + w**2 + 2*w**2. Let a(p) = 0. What is p?
0, 2
Let 4/5*m + 2/5*m**2 + 0 = 0. What is m?
-2, 0
Suppose -2*d - 141 = 13. Let b be 12/55 + (-14)/d. Solve -4/5*z**3 + 2/5 + 4/5*z + 0*z**2 - b*z**4 = 0.
-1, 1
Let 3*i**2 + 1 - 2*i + 0*i**2 - 5*i**2 + 3*i**2 = 0. Calculate i.
1
Suppose 0 = -0*z - 4*z + 8. Let f be 133/95*(-15)/(-6). Factor f*i**3 + 1/2 + 3/4*i**z - 9/4*i.
(i + 1)*(2*i - 1)*(7*i - 2)/4
Let p be 2/(-8)*-4 + 1. Factor f + 0 - 1/2*f**p.
-f*(f - 2)/2
Let g(n) be the third derivative of n**8/546 + n**7/1365 - 2*n**6/195 - n**5/195 + n**4/39 + n**3/39 - 4*n**2. Find k, given that g(k) = 0.
-1, -1/4, 1
Solve 6*m**4 + 11*m**5 - 23*m**5 + 11*m**5 + 4*m**5 = 0.
-2, 0
Factor 4/3*z - 4/3*z**3 + 2/3*z**2 - 2/3.
-2*(z - 1)*(z + 1)*(2*z - 1)/3
Let t(q) be the second derivative of -q**6/10 - 9*q**5/20 + 14*q. Solve t(w) = 0 for w.
-3, 0
Let o(a) be the first derivative of a**5/50 + a**4/15 + a**3/15 + 2*a + 2. Let w(k) be the first derivative of o(k). Solve w(v) = 0 for v.
-1, 0
Let y = -117 - -119. Let v = 15 + -29/2. Determine j, given that 0 + 1/2*j**y + v*j = 0.
-1, 0
Suppose 3*t = -4*g - 4 + 9, -2*t - 5*g = 6. Suppose 3*w = t + 2. Factor 2*y**2 + y**w + y + y**2 - y**2.
y*(y + 1)**2
Let k = 214 + -4279/20. Let d(o) be the second derivative of -2*o - 1/6*o**3 + k*o**5 + 5/12*o**4 - o**2 - 1/10*o**6 + 0. Factor d(x).
-(x - 1)**2*(x + 1)*(3*x + 2)
Let w(a) be the first derivative of a**7/21 + 4*a**6/15 + 3*a**5/10 - 2*a**4/3 - 4*a**3/3 - a - 4. Let z(l) be the first derivative of w(l). Factor z(y).
2*y*(y - 1)*(y + 1)*(y + 2)**2
Let o = -10 + 4. Let l = 8 + o. Find c, given that 0*c**3 - c**2 + 3*c**2 + l*c**3 = 0.
-1, 0
Let w(y) be the third derivative of -y**8/1848 + 4*y**7/1155 - y**6/132 + y**5/165 + 8*y**2. Determine s, given that w(s) = 0.
0, 1, 2
Let r(s) be the third derivative of -s**6/420 - 4*s**5/35 - 16*s**4/7 - 512*s**3/21 + s**2 + 2*s. Solve r(z) = 0.
-8
Let x = 18/13 + -59/52. Factor 3/4*c**3 + 0 - c**4 - c + c**2 + x*c**5.
c*(c - 2)**2*(c - 1)*(c + 1)/4
Let r be (-3 - -3)/(4 - 2). Suppose -1/4*p + 1/4*p**2 + r = 0. What is p?
0, 1
Factor -3*n**3 - 245*n + 5*n + 264*n**2 - 69*n**3 + 4*n**3 - 32.
-4*(n - 2)**2*(17*n + 2)
Let t = 3 - -3. Factor -16 - 6*z**2 + 2*z - 2*z**3 - t*z**2 - 26*z.
-2*(z + 2)**3
Suppose -52/5*l + 338/5 + 2/5*l**2 = 0. What is l?
13
Suppose 107 = 25*k + 32. Factor 8/17*y**4 + 0 - 2/17*y - 2/17*y**5 + 8/17*y**2 - 12/17*y**k.
-2*y*(y - 1)**4/17
Suppose 0 = -2*z + 6*z - 4. Let m(h) = h + 12. Let j be m(-10). Factor -9/2*l + 7/2*l**j + z.
(l - 1)*(7*l - 2)/2
Let m(c) = 4*c**2 + c - 6. Let b(l) = -9*l**2 - 3*l + 13. Suppose 4*d = -3*r - 16, -2*r = -0*d + 5*d + 27. Let x(p) = d*m(p) - 3*b(p). Let x(g) = 0. What is g?
-1, 3
Let m(w) = -2*w - 19. Let r be m(-12). Let z(q) be the second derivative of 0*q**4 + 1/60*q**r + 0*q**2 + 0*q**3 + 0 - q. Factor z(a).
a**3/3
Let r(n) be the third derivative of n**6/300 - n**5/50 + 6*n**2. Factor r(z).
2*z**2*(z - 3)/5
Let t be (4 - (1 + -52))/1. Let f = t - 274/5. Suppose -f*a**5 + 2*a**2 - 1/5*a**3 + 4/5*a - 8/5 - 4/5*a**4 = 0. What is a?
-2, 1
Let g = 7 + -1. Let o = -3 + g. Factor 0 - 1/3*c**4 - 1/3*c**2 + 2/3*c**o + 0*c.
-c**2*(c - 1)**2/3
Let f(h) be the first derivative of h**6/90 - h**5/30 + h**4/36 - 3*h + 3. Let z(u) be the first derivative of f(u). Factor z(o).
o**2*(o - 1)**2/3
Let x = 22 + -18. Factor 0*v**2 + 0 + 1/2*v**5 - v**x + 0*v + 1/2*v**3.
v**3*(v - 1)**2/2
Let n be ((-2)/8)/((-21)/28). Let -1/3*s**3 + n + s**2 - s = 0. Calculate s.
1
Let w = -8 + 6. Let v be (-2)/(-72) - w/9. Factor -1/2*r**3 + 0*r - v*r**4 + 0 - 1/4*r**2.
-r**2*(r + 1)**2/4
Let v = -13 + 16. Suppose v*g + g = 8. Factor -2/3*b**2 - g*b - 4/3.
-2*(b + 1)*(b + 2)/3
Let m(s) = -2*s**5 - 6*s**4 + 4*s + 4. Let z(i) = i**5 + i**3 - i - 1. Let j(a) = m(a) + 4*z(a). Suppose j(p) = 0. Calculate p.
0, 1, 2
Let c(l) = -l**2 + 13*l - 4. Let s be c(12). Suppose s*f - 16 = 4*f. Find z such that 0*z**2 + 2/5*z**f + 0 + 0*z + 1/5*z**3 + 1/5*z**5 = 0.
-1, 0
Suppose -5 = 2*b - 2*h + 3, -5*b + 4*h = 16. Let 0*l + 0*l**3 + 3/5*l**2 + b - 3/5*l**4 = 0. What is l?
-1, 0, 1
Suppose 3*q - 2*q = 3. Suppose -3*l = -4*f, -4*f = q*l - 0*f - 24. Factor 2*d + 8/3*d**3 - 1/3 - l*d**2.
(2*d - 1)**3/3
Let b(d) be the third derivative of 0*d**3 + 10*d**2 + 0 - 1/60*d**5 + 0*d**6 + 0*d + 1/210*d**7 + 1/672*d**8 - 1/48*d**4. Let b(x) = 0. Calculate x.
-1, 0, 1
Let a(n) be the second derivative of n**7/42 - n**6/10 + n**5/10 - 10*n. Determine s, given that a(s) = 0.
0, 1, 2
Suppose 457*j - 451*j - 12 = 0. Factor -9*h + 3/2*h**j + 27/2.
3*(h - 3)**2/2
Let r(u) = -25*u**4 + 13*u**3 + 5*u**2 - 7. Let z(a) = -2*a**3 - 2*a**2 - 2*a**3 + 8*a**4 + 0*a**3 + 2. Let c(k) = 2*r(k) + 7*z(k). Solve c(f) = 0 for f.
-2/3, 0, 1
Suppose 4*p = -2*p + 24. Let k(v) be the first derivative of 2 - 3/8*v**p + 1/2*v + 3/4*v**2 - 1/6*v**3. Let k(f) = 0. What is f?
-1, -1/3, 1
Suppose -4*x + 48 = 2*x. Let d be (-2)/9 + 29/9. Let q(w) = 2*w**4 + 5*w**2 - 1. Let r(u) = -5*u**4 - 14*u**2 + 3. Let c(l) = d*r(l) + x*q(l). Factor c(o).
(o - 1)**2*(o + 1)**2
Let j be (-63)/(-98)*(2 + 2/(-3)). Factor -2/7*a**3 + j*a**2 - 6/7*a + 2/7.
-2*(a - 1)**3/7
Let m(t) = 9*t**2 - 4*t + 9. Let r(n) = 8*n**2 - 4*n + 8. Let x(c) = -6*m(c) + 7*r(c). Solve x(l) = 0.
1
Let p be 2/4 + (-6)/12. Suppose 0 = 5*s + 5*x - 40, -5*s - 2*x + x + 20 = p. Solve -3*u**4 + 2*u**4 + 1 - 2*u - 3*u**3 + 5*u**s = 0 for u.
-1, 1
Let n = -2 - -12. Suppose 2*g - n = -3*g. Factor g*v**3 - v**2 - 3*v**3 + 3*v**2.
-v**2*(v - 2)
Factor -9*x + x**2 - 7 + 2*x**2 - 5.
3*(x - 4)*(x + 1)
Suppose 0 = -4*u - 0 + 20. Suppose 2*y + 6 + 4 = w, -u*w + 2*y = -10. Factor w + 0*b - 2/11*b**2.
-2*b**2/11
Let i(v) be the second derivative of v**9/3024 + v**8/560 + v**7/280 + v**6/360 - v**3/3 - v. Let n(r) be the second derivative of i(r). Factor n(p).
p**2*(p + 1)**3
Let b = -17 - -14. Let p be ((-16)/4 - b) + 1. Let 8/11*f**3 + 4/11*f + p - 2/11*f**4 - 10/11*f**2 = 0. What is f?
0, 1, 2
Let y(s) = -s**2 - 8*s + 2. Let t be y(-8). Solve -2 + 2*b**2 + 19*b**t + 12*b**4 - 1 + 33*b**3 + 3*b + 6*b**2 = 0 for b.
-1, 1/4
Suppose -4*p + 84 = -0*p. Let d = 24 - p. Find y, given that 1/4*y**d - 1/4*y**4 + 0 + 1/4*y**2 - 1/4*y = 0.
-1, 0, 1
Let r = 19 - 14. Suppose -4*k + 4*p - 3 = -15, r*p = -5. Factor 0*i - 6/5*i**k + 8/5 + 2/5*i**3.
2*(i - 2)**2*(i + 1)/5
Let u(o) be the first derivative of o**5/300 + o**4/40 + o**3/15 - o**2 - 4. Let h(a) be the second derivative of u(a). Find v such that h(v) = 0.
-2, -1
Let n(o) be the first derivative of -7*o**4/10 + 4*o**3/15 + 8. Find z, given that n(z) = 0.
0, 2/7
Suppose -27 = -3*j + 3*x, x = 3*j - x - 26. Suppose -2*q + j = 2*q. Find f, given that -1/2 + 0*f + 1/2*f**q = 0.
-1, 1
Let i(y) be the second derivative of -y**7/7560 - y**6/1080 + 5*y**4/12 - 9*y. Let f(g) be the third derivative of i(g). Solve f(a) = 0 for a.
-2, 0
Let r(x) = x**3 + 4*x**2 + 2*x - 1. Suppose -6*p = -2*p + 12. Let n be r(p). Factor 0*w**2 + 0 - n*w - w**2 - 1.
-(w + 1)**2
Let l(y) = -y**2 + 8*y - 6. Let k be l(7). Let m be (-1 - k) + 9/4. Factor 0*f**4 + 0 + 1/4*f - 1/2*f**3 + m*f**5 + 0*f**2.
f*(f - 1)**2*(f + 1)**2/4
Let t(u) be the second derivative of -u**6/45 + 2*u**5/15 - 5*u**4/18 + 2*u**3/9 - 2*u. Factor t(o).
-2*o*(o - 2)*(o - 1)**2/3
Factor -3*g**2 - 8*g - 16/3 - 1/3*g**3.
-(g + 1)*(g + 4)**2/3
Let b = 10 + -7. Let d(i) = -i**3 - 5*i**2 + 2. Let c be d(-5). Suppose x**c - b*x - x + 2*x + 1 = 0. What is x?
1
Let j = 162 + -1456/9. Let u = 1 + -1. Factor -2/3*a**3 - j*a - 2/3*a**2 + u - 2/9*a**4.
-2*a*(a + 1)**3/9
Let n be (-17)/(-102) + (-1)/6. Let r(m) be the third derivative of 0 + 2*m**2 + 0*m**4 + n*m**3 - 1/30*m**5 - 1/24*m**6 + 0*m. Let r(f) = 0. Calculate f.
-2/5, 0
Let w(i) be the first derivative of -1/2*i**2 + 2 - 1/150*i**5 - 4/15*i**3 + 0*i - 1/15*i**4. Let h(m) be the second derivative of w(m). Solve h(k) = 0.
-2
Let d be 2/34 - 2508/(-1292). Find b such that -4/3 - 1/3*b**d - 4/3*b = 0.
-2
Factor -2*w + 4/3 + 2/3*w**2.
2*(w - 2)*(w - 1)/3
Let x(z) be