 p - 3. Let h(b) = 21*f(b) + 6*y(b). Suppose h(r) = 0. What is r?
-1/4, 1
Let b = 391 - 391. Factor b + 4/5*t**2 - 2/5*t - 2/5*t**3.
-2*t*(t - 1)**2/5
Let y(a) = -a - 3. Let x be y(0). Let h = x + 6. Factor 0*v**2 - 2/7*v - 2/7*v**5 + 0 + 4/7*v**h + 0*v**4.
-2*v*(v - 1)**2*(v + 1)**2/7
Solve -7/6*n**3 - 1/3*n - 11/6*n**2 + 0 + 11/6*n**4 + 3/2*n**5 = 0.
-1, -2/9, 0, 1
Let w(f) = -f**4 - f**3 + 4*f**2 - 3*f + 1. Let h(x) be the first derivative of -x + 1/4*x**4 + 4 + 1/2*x**2 - 1/3*x**3. Let k(v) = -h(v) - w(v). Factor k(p).
p*(p - 1)**2*(p + 2)
Let v = -11 - -29. Let s be (9 - 6)/(v/16). Factor 8/3 + 2/3*x**2 - s*x.
2*(x - 2)**2/3
Let f(g) be the second derivative of g**3/6 + 7*g**2/2 + 2*g. Let d be f(-7). Let 2/3*r**2 + 2/9*r**3 + 4/9*r + d = 0. What is r?
-2, -1, 0
Suppose -11*q + 14*q - 9 = 0. Factor -s**2 - 13*s + q*s + 10*s.
-s**2
Let r(v) be the first derivative of -v**6/4 - 3*v**5/4 - 9*v**4/16 + v**3/4 + 3*v**2/8 - 19. Factor r(c).
-3*c*(c + 1)**3*(2*c - 1)/4
Let y = -374/7 + 54. Factor 10/7*u - 8/7*u**2 - y + 2/7*u**3.
2*(u - 2)*(u - 1)**2/7
Let r(g) = g + 9. Let q be r(-7). Suppose -q*w + 4 = -2. Factor 4*l**w + 3*l**3 - 8*l**3.
-l**3
Factor -r**3 + 4/5*r + 0 - 8/5*r**2.
-r*(r + 2)*(5*r - 2)/5
Let n be 196/(-210)*9/(-7). Factor 2/5*j**2 + 0 + n*j.
2*j*(j + 3)/5
Let z = 2485/652 + -10/163. Determine c, given that 3 + 3/4*c**3 + 6*c + z*c**2 = 0.
-2, -1
Let h(f) be the third derivative of -f**7/840 + f**6/360 + f**5/120 - f**4/24 + f**3/2 - 4*f**2. Let g(c) be the first derivative of h(c). Factor g(n).
-(n - 1)**2*(n + 1)
Let 5/2*g**4 - 3/2*g**2 - 1 + 7/2*g - 7/2*g**3 = 0. What is g?
-1, 2/5, 1
Let o = 1/951 + 15209/6657. Determine j so that -120/7*j - 370/7*j**3 - o - 150/7*j**4 - 324/7*j**2 = 0.
-1, -2/3, -2/5
Let l(c) be the third derivative of 0*c**3 - 1/336*c**8 + 0*c**4 - 1/168*c**7 + 0 + 0*c + 0*c**5 - 4*c**2 - 1/480*c**6. Determine k, given that l(k) = 0.
-1, -1/4, 0
Suppose 2*q - 2 = 10. Let r(j) be the third derivative of 0*j**3 - 1/672*j**8 + 1/210*j**7 + 1/48*j**4 + 0 - 2*j**2 + 0*j + 0*j**q - 1/60*j**5. Solve r(t) = 0.
-1, 0, 1
Let y(q) be the first derivative of 1/12*q**4 + 8 + 0*q - 1/30*q**5 + 0*q**2 - 1/18*q**3. Factor y(g).
-g**2*(g - 1)**2/6
Factor 3/5*i**3 + 0 + 0*i - 3/5*i**2.
3*i**2*(i - 1)/5
Let j = 28 + -25. Factor -2/3*s**2 + 2/3*s**4 - 1/3*s**5 + 1/3*s + 0 + 0*s**j.
-s*(s - 1)**3*(s + 1)/3
Let i be (-29)/2*(-10)/(-15). Let x = 10 + i. Solve -8*u**4 + 1/3*u**3 + 16/3*u**5 + x*u + 2*u**2 + 0 = 0.
-1/4, 0, 1
Let n be 9/(675/20) - (-2)/5. What is z in 8/3*z - 8/3 - n*z**2 = 0?
2
Let y(j) = 3*j**4 + 3*j**3 - 8*j**2 - 2*j - 2. Let s(v) = -16*v**4 - 16*v**3 + 41*v**2 + 11*v + 11. Let z(c) = -6*s(c) - 33*y(c). Factor z(w).
-3*w**2*(w - 2)*(w + 3)
Factor -1200*z - 256 + 0*z**5 - 55*z**5 - 2000*z**2 + 96 - 1400*z**3 - 450*z**4.
-5*(z + 2)**4*(11*z + 2)
Let g(m) be the first derivative of 2*m**6/3 + 4*m**5/5 - 2*m**4 - 8*m**3/3 + 2*m**2 + 4*m + 14. Factor g(j).
4*(j - 1)**2*(j + 1)**3
Let q = 901/9 + -100. Let h(b) be the second derivative of 2*b + 4/63*b**7 + 0*b**2 - 7/18*b**4 - 13/45*b**6 + 1/2*b**5 + 0 + q*b**3. Factor h(o).
2*o*(o - 1)**3*(4*o - 1)/3
Let y(q) = -q**2 + 2*q**2 - q**3 + 2*q + 5 - 3. Let j(l) = 2*l**3 - 3*l**2 - 6*l - 7. Let p(k) = 4*j(k) + 14*y(k). Factor p(r).
-2*r*(r - 1)*(3*r + 2)
Let a(k) = -5*k - 42. Let n be a(-9). Factor 0 + 0*t**2 + 0*t + 2/7*t**n.
2*t**3/7
Let w(q) be the third derivative of -q**8/1848 + 2*q**7/1155 - q**5/165 + q**4/132 - 40*q**2. Solve w(y) = 0.
-1, 0, 1
Let g(i) = -3*i**2 - 30*i. Let x be g(-10). Let p(z) be the first derivative of 7/6*z**6 - 3 + 3/4*z**4 + 0*z - 2/3*z**3 + 12/5*z**5 + x*z**2. Factor p(s).
s**2*(s + 1)**2*(7*s - 2)
Suppose -52*p**3 - 191 + 15*p**5 + 21*p**4 + 20*p - 45*p**2 + 17*p**3 + 211 + 4*p**4 = 0. What is p?
-2, -1, -2/3, 1
Let x(p) be the first derivative of -2*p**5/85 - p**4/34 + 2*p**3/51 + p**2/17 - 21. Let x(r) = 0. Calculate r.
-1, 0, 1
Let p be 0/((-6)/60*4*-5). Factor p + 10*j**4 + 8*j**3 + 8/5*j**2 + 0*j.
2*j**2*(5*j + 2)**2/5
Let l(v) be the first derivative of v**5/120 - v**3/12 + v**2 + 1. Let z(d) be the second derivative of l(d). Solve z(u) = 0.
-1, 1
Let t be (-22)/(-6) + 5/15. Factor -2*h + 2*h - h**3 - h**t.
-h**3*(h + 1)
Let k = -38285/54 + 709. Let x(q) be the second derivative of 0 - k*q**4 + 1/135*q**6 + 0*q**3 + 0*q**2 - q + 0*q**5. Suppose x(r) = 0. What is r?
-1, 0, 1
Suppose 6*w = 2*x + w + 4, -x + w = -1. Find b, given that 2/7 - 2*b + 16/7*b**2 + 32/7*b**x = 0.
-1, 1/4
Suppose 0 = -2*l - 2*p - 2, 5*l + 3*p - 4*p = -35. Let o be 0*(-3)/(l/1). Factor -2*y**3 - 9*y + 3 + o*y - y**3 + 9*y**2.
-3*(y - 1)**3
Let y be 3/6*0 + -168. Let g be 4/26 + y/(-91). Solve -3/2*m**4 + 0*m**g + 0*m + m**3 - 5/2*m**5 + 0 = 0.
-1, 0, 2/5
Let v = 383/170 - 6/17. Let t = v + -2/5. Find b such that 3/2*b + 3*b**2 + t*b**3 + 0 = 0.
-1, 0
Let h be -6 + ((-180)/5)/(-6). What is i in 4/5*i - 7/5*i**3 + h - 2/5*i**4 - 4/5*i**2 = 0?
-2, 0, 1/2
Let a(m) be the first derivative of -m**3/3 + m**2 + 3. Factor a(c).
-c*(c - 2)
Let u = 1/43 - -127/86. Factor u*r**2 + 0*r - 3/2.
3*(r - 1)*(r + 1)/2
Let x = 7 + -4. Factor 7*n**2 - 6*n**4 + 9*n**5 + n**x - 7*n**2.
n**3*(3*n - 1)**2
Let i(c) be the second derivative of 3/14*c**7 - c**4 + 0 - 3/10*c**5 + 2/5*c**6 + 0*c**2 - 2*c - 1/2*c**3. Suppose i(a) = 0. What is a?
-1, -1/3, 0, 1
Let p(h) be the first derivative of h**7/14 + h**6/5 - 8*h + 10. Let b(k) be the first derivative of p(k). Factor b(q).
3*q**4*(q + 2)
Let m be 92/69*3/2. Suppose -4*f - 16 = m*x, 2*f = -0*x + x - 8. Determine s so that x - s + 1/2*s**2 = 0.
0, 2
Let u be 20/(-50) + 348/895. Let r = 169/895 - u. Determine n so that -r*n**3 - 3/5*n - 1/5 - 3/5*n**2 = 0.
-1
Let l(o) be the third derivative of 3*o**2 + 0 - 1/150*o**5 + 0*o - 1/30*o**4 - 1/15*o**3. Find z, given that l(z) = 0.
-1
Let j be (-2)/(-7) - 12/(-7). Suppose 3*i - 25 = -j*i. Let -i*n**4 - 3*n**3 + 0*n**2 + n**4 + n**2 = 0. Calculate n.
-1, 0, 1/4
Let c = 33 - 36. Let u be ((-8)/c - 2)*3. Let u*f**3 + 4/3 - 4/3*f**2 - 2*f = 0. What is f?
-1, 2/3, 1
Let q(j) be the third derivative of j**9/211680 - j**8/23520 + j**7/5880 - j**6/2520 - j**5/20 - 4*j**2. Let m(d) be the third derivative of q(d). Factor m(b).
2*(b - 1)**3/7
Let t(x) = -12*x**3 - 4*x**2 + 8*x - 4. Let u(r) = -r**5 - r**4 + 36*r**3 + 12*r**2 - 24*r + 11. Let w(o) = -11*t(o) - 4*u(o). Factor w(l).
4*l*(l - 1)**2*(l + 1)*(l + 2)
Let n(r) = r**2 + r. Let y(s) = -10*s**2 + 10*s - 10. Let j(p) = -5*n(p) - y(p). Factor j(t).
5*(t - 2)*(t - 1)
Let n(v) be the third derivative of -v**7/840 + v**6/120 - v**5/80 - v**4/24 + v**3/6 - v**2. What is a in n(a) = 0?
-1, 1, 2
Suppose 26*t - 25*t - 5 = 0. Let m(r) be the second derivative of 0 + 0*r**2 - 1/10*r**t + 0*r**4 + 0*r**3 - 2*r. Let m(d) = 0. What is d?
0
Let r(i) be the second derivative of 0 + 3*i + 2*i**3 - 6*i**2 - 1/4*i**4. Factor r(z).
-3*(z - 2)**2
Let b(j) = j**2 - 9*j + 20. Let x be b(6). Let u(d) be the second derivative of d**x + 0 + 1/6*d**4 - 2*d + 2/3*d**3. Find t such that u(t) = 0.
-1
Let g(y) = y**2 + 14*y + 2. Let l be g(-14). Factor 0*s + 1 - s**l + 4*s - 4*s.
-(s - 1)*(s + 1)
Let c be 3/(10/9 - 1). Let r be ((-6)/c)/((-4)/6). Let 1/3*j + 0 + r*j**2 = 0. What is j?
-1, 0
Let x(j) be the third derivative of 0*j + 1/420*j**6 + 0*j**3 + 0 - 1/735*j**7 + 2*j**2 - 1/84*j**4 + 1/210*j**5. What is w in x(w) = 0?
-1, 0, 1
Suppose -14*a**3 + 25*a + 8*a**4 + 5*a**4 - 16*a**3 + 5*a**5 - 8*a**4 - 15 + 10*a**2 = 0. What is a?
-3, -1, 1
Factor 0 - 8/3*n**2 + 0*n - 4/3*n**3.
-4*n**2*(n + 2)/3
Suppose -21*z**2 - 14*z + 24*z**2 + 11 + 2*z - 2 = 0. What is z?
1, 3
Suppose 2*c + 9 = -c. Let s(g) = -g**2 - 1. Let m(n) = -7*n**2 + 2*n - 8. Let w(p) = c*m(p) + 24*s(p). Factor w(d).
-3*d*(d + 2)
Solve 4*q**3 - 14*q**3 + 13 - 19 - 14 - 15*q**2 + 5*q**4 + 40*q = 0.
-2, 1, 2
Factor -21*u - 21 + 3 - 3*u**2 + 0.
-3*(u + 1)*(u + 6)
Suppose n - 1 = -0. Determine s, given that 4*s**2 - 7*s**2 + 4*s**2 - n = 0.
-1, 1
Let h(b) be the first derivative of -b**4/18 - 6. Solve h(a) = 0.
0
Factor -8/7*b**2 + 0 + 4/7*b.
-4*b*(2*b - 1)/7
Let g(b) = 3*b + 3 + 86*b**2 - 83*b**2 - 6 + b**3. Let y(r) = -4*r**3 - 10*r**2 - 10*r + 10. Let f(w) = 21*g(w) + 6*y(w). Factor f(c).
-3*(c - 1)**2*(c + 1)
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