). Let w be 9 + j + -4 - 0. Suppose 0 + 0*b**2 - 4*b**5 + 0*b - 1/4*b**3 + 2*b**w = 0. Calculate b.
0, 1/4
Let i(w) be the second derivative of w**5/170 + w**4/102 - 2*w**3/51 + 24*w. Suppose i(z) = 0. What is z?
-2, 0, 1
Let z = -8 - -10. Solve 2*a**2 + 2 + 0*a**2 - 8*a + z*a + 2*a**2 = 0.
1/2, 1
Let c(v) be the third derivative of v**8/1176 - v**7/735 - v**6/420 + v**5/210 + 5*v**2. Factor c(r).
2*r**2*(r - 1)**2*(r + 1)/7
Let h(y) = y**5 + y**4 + y**3 - y**2 - y + 1. Let m(o) = 3*o**5 + 4*o**4 + 7*o**3 - 2*o**2 - 4*o + 4. Let f(g) = 4*h(g) - m(g). Factor f(x).
x**2*(x - 2)*(x + 1)**2
Let h(j) be the third derivative of -7/120*j**5 + 4*j**2 + 19/48*j**4 + 0 + 0*j + 1/2*j**3. What is n in h(n) = 0?
-2/7, 3
Suppose -5*r + 25 = 3*g, 5*g - 10 = 4*r - 6*r. Let w = -3 + r. Suppose -6*s + 6*s**2 - s**3 + 0*s**3 - w*s**3 + 2 + s**3 = 0. Calculate s.
1
Determine i, given that 1/3*i**5 + 0 - 1/3*i + 0*i**3 + 2/3*i**2 - 2/3*i**4 = 0.
-1, 0, 1
Let g(x) be the second derivative of -2*x + x**4 - 2/15*x**6 + 0*x**2 + 0*x**5 + 0 - 4/3*x**3. Suppose g(w) = 0. Calculate w.
-2, 0, 1
Suppose -3*x - 12 = -q, 2*x = -0*x - 3*q - 8. Let y be -16 + 16 - 1/x. Factor 1/2*z**2 - 1/4 - 1/4*z**5 - y*z**4 - 1/4*z + 1/2*z**3.
-(z - 1)**2*(z + 1)**3/4
Let n(c) be the first derivative of -2*c**3/15 + 6*c**2/5 - 2*c + 35. Suppose n(l) = 0. What is l?
1, 5
Suppose -5*h + 9 + 6 = 0. Let w be ((-6)/2)/(36/(-8)). Factor 2/3*l**4 + 2/3 - 4/3*l**2 + w*l**5 - 4/3*l**h + 2/3*l.
2*(l - 1)**2*(l + 1)**3/3
Let 87*t - 561*t**2 + 1848*t**3 + t - 491*t**2 - 2 - 882*t**4 = 0. What is t?
1/21, 1
Let c be (-9)/6 + (-46)/(-15). Let k = -9/10 + c. What is u in 0*u**2 - k*u**4 + 0*u + 2/3*u**3 + 0 = 0?
0, 1
Let x be 5/(-50)*(-3)/((-3)/(-2)). Let 2/5*n + x + 1/5*n**2 = 0. What is n?
-1
Let a(q) = -5*q**3 - 1. Let r(v) = -4*v**3. Let h(x) = -3*a(x) + 4*r(x). Let t be h(0). Solve -1/4*p**4 + 0 - 1/2*p + 1/4*p**2 - 1/4*p**5 + 3/4*p**t = 0.
-2, -1, 0, 1
Let z be (-2)/(3 - ((-1)/4 + 4)). Factor 8/3*v**3 + 2/3*v**5 - 4/3*v**2 - 4/3 + z*v**4 - 10/3*v.
2*(v - 1)*(v + 1)**3*(v + 2)/3
Let w(j) be the second derivative of -j**10/15120 + j**9/3780 - j**8/3360 - j**4/3 + 7*j. Let u(c) be the third derivative of w(c). Factor u(l).
-2*l**3*(l - 1)**2
Let o(y) = -y**2 + 6*y - 7. Suppose a + 2 - 5 = 0. Let i be o(a). Suppose n**i - 1/2 - 1/2*n**4 + 0*n**3 + 0*n = 0. Calculate n.
-1, 1
Let f be -2 + (1 - 0) + 3. Factor -f*d**5 + 3*d - 7*d - 3*d**4 + 4*d**3 - 4*d**2 + 2 + 2*d + 5*d**4.
-2*(d - 1)**3*(d + 1)**2
Let n = -8/77 - -20/11. Determine k so that -12/7*k**4 + n*k**2 - 8/7*k + 8/7*k**3 + 0 = 0.
-1, 0, 2/3, 1
Let d = -1 - -3. Let m(u) be the second derivative of -8/15*u**3 - 8/15*u**4 + 0 - 1/5*u**d + u. Let m(p) = 0. Calculate p.
-1/4
Let r = 188 - 380. Let z be r/(-378) - 4/14. Factor 0*c + z*c**3 + 0 - 4/9*c**2.
2*c**2*(c - 2)/9
Suppose -1 + 5 = 2*a. Let n be (0 + (2 - a))*1. Factor 0*j - 1/4*j**4 + n*j**3 + 1/2*j**2 - 1/4.
-(j - 1)**2*(j + 1)**2/4
Suppose -3 + 1 = -t. Let s = 378 - 374. What is h in 1/2*h**t + 1/2*h + 0 - 1/2*h**s - 1/2*h**3 = 0?
-1, 0, 1
Factor 27*y**2 - 12*y**4 + 19*y**4 - 19*y**4 + 6*y + 9*y**3.
-3*y*(y - 2)*(y + 1)*(4*y + 1)
Let f(r) be the second derivative of -r**5/120 + 7*r**4/72 + 2*r**3/9 + 20*r + 1. Factor f(m).
-m*(m - 8)*(m + 1)/6
Let v(j) = -2*j**2 + 11*j + 6. Let y be v(6). Solve y*s - 2/9*s**2 + 0 = 0.
0
Let k be 4/(12/(-9)) + -12. Let u be ((-16)/5)/(6/k). Suppose -16*h - 4*h**3 - 1/2*h**4 - 12*h**2 - u = 0. Calculate h.
-2
Suppose -2*u + 3*m + 86 = 0, -2*u + u - 2*m = -36. Let k be (-6)/u - 2/(-5). Find d such that -1/4*d**2 + 1/4*d - 1/4*d**3 + k = 0.
-1, 1
Let o(v) be the second derivative of -v**4/24 + 5*v**3/12 + v + 15. Suppose o(i) = 0. Calculate i.
0, 5
Let o(z) be the first derivative of -5*z**6/3 - 24*z**5/5 - 9*z**4/2 - 4*z**3/3 - 2. Factor o(j).
-2*j**2*(j + 1)**2*(5*j + 2)
Let b(t) = -1. Let v(m) = -3*m**3 + 11*m**2 - 12*m - 2. Let p = 16 - 17. Let s(a) = p*v(a) + 6*b(a). Factor s(d).
(d - 2)*(d - 1)*(3*d - 2)
Let b be 7/((-105)/12)*(-2 - 3). Find v, given that -1/3*v**b + 0*v - 1/3*v**2 - 2/3*v**3 + 0 = 0.
-1, 0
Suppose v = 2, 5*r + v = 8 + 9. Let x(u) be the second derivative of 0*u**2 - 3/40*u**5 - 1/60*u**6 - 1/12*u**r - u + 0 - 1/8*u**4. Solve x(j) = 0 for j.
-1, 0
Let g be -2 + (-1)/1*-2. Suppose 0 = k - g*k. Determine x so that -2*x**2 + k - 2/3*x = 0.
-1/3, 0
Let g = -11 + 23. Let -7*s**3 + 9*s + 3*s**3 + g*s**2 + 9*s**3 + 2 = 0. What is s?
-1, -2/5
Let x be (0 + 0)/(1*-1). Let j be 4*((-3)/(-6))/1. Let -2*u**2 - u + 3*u**j + x*u**2 = 0. What is u?
0, 1
Let -3/8*u**4 + 3/8*u + 0 - 9/8*u**2 + 9/8*u**3 = 0. What is u?
0, 1
Let t be -2 + 0 - 48/(-4). Suppose 5*v + 3*u = -2*u + 30, -5*u = -5*v - t. Solve 1/4*f**3 - 1/4 - 1/4*f + 1/4*f**v = 0 for f.
-1, 1
Let z(g) = 3*g**5 - g**4 + 11*g**3 + 29*g**2 + 22*g + 8. Let v(o) = o**5 - o. Let s(y) = 12*v(y) - 3*z(y). Determine m so that s(m) = 0.
-2, -1, 4
Suppose -5*r + 4*r = -2. Let a(x) be the first derivative of -r - 1/5*x**2 - 2/5*x + 4/15*x**3. Factor a(k).
2*(k - 1)*(2*k + 1)/5
Let k be 22/9*(-87)/(-58). What is r in 13/3*r**3 + 0 - k*r**4 - 5*r**5 + 11/3*r**2 + 2/3*r = 0?
-1, -2/5, -1/3, 0, 1
Suppose -32*h + 36*h = 8. Determine j, given that 4/3 + 2/3*j**2 + h*j = 0.
-2, -1
Find s such that -1/2 + s - 5/8*s**2 + 1/8*s**3 = 0.
1, 2
Suppose -4/5*k + 8/5 - 8/5*k**2 + 4/5*k**3 = 0. What is k?
-1, 1, 2
Let c(p) = -p**5 - p**4 + p**3 + p**2 - p + 1. Let h(x) = -8*x**4 + 6*x**3 + 2*x**2 - 2*x + 2. Suppose 3*z + 2 = 8. Let j(d) = z*c(d) - h(d). Solve j(s) = 0.
0, 1, 2
Factor 6*q**2 - 15*q**4 + 16*q**4 - 7*q**3 + 14*q - 14*q.
q**2*(q - 6)*(q - 1)
Let y = 152 + -1062/7. Factor -2/7*d**3 + y*d**2 + 4/7*d + 0.
-2*d*(d - 2)*(d + 1)/7
Let g(m) = 2*m + 22. Let i be g(-10). Let l(q) be the third derivative of 2/3*q**3 + 0*q - i*q**2 + 1/60*q**6 + 2/15*q**5 + 0 + 5/12*q**4. Solve l(d) = 0 for d.
-2, -1
Suppose 0 = -0*k - 3*k + 15. Suppose -24 = d - k*d. Factor -4 + d*l + 14*l**3 - 20*l - l**2 + 5*l**2.
2*(l - 1)*(l + 1)*(7*l + 2)
Let x be 4*-1*2/(-2). Suppose -10 - 6 = -x*p. Let -12*w**3 - 2*w**p + 0*w**4 - 7*w**2 - 17*w**2 - 16*w = 0. Calculate w.
-2, 0
Solve 27/2*a**2 + 3/2*a**4 + 6*a + 0 + 9*a**3 = 0 for a.
-4, -1, 0
Let k(s) be the first derivative of s**4/8 - 3*s**2/4 + s - 2. Factor k(b).
(b - 1)**2*(b + 2)/2
Let c(o) be the second derivative of 0*o**3 + 0*o**5 + 1/18*o**4 + 0*o**2 - 1/45*o**6 + 2*o + 0. Factor c(g).
-2*g**2*(g - 1)*(g + 1)/3
Let u(p) be the first derivative of -2*p**3/39 - 2*p**2/13 - 7. Factor u(r).
-2*r*(r + 2)/13
Let p be (10/(-6))/(3 - (-33)/(-6)). Find h such that p*h + 2/3*h**2 + 0 = 0.
-1, 0
Let z(m) = 11*m**2 - 5*m. Let j(w) = 6*w**2 - 3*w. Let l(r) = 5*j(r) - 3*z(r). Factor l(n).
-3*n**2
Factor 2/9 + 4/9*p + 2/9*p**2.
2*(p + 1)**2/9
Let a(q) be the second derivative of 1/24*q**4 + 5*q + 0*q**2 + 1/6*q**3 + 0. Factor a(w).
w*(w + 2)/2
Let c(m) be the first derivative of m**6/180 - m**5/60 - 5*m**3/3 - 2. Let g(o) be the third derivative of c(o). Factor g(u).
2*u*(u - 1)
Let b(s) be the third derivative of s**5/60 - s**3/6 - 4*s**2. Let v be b(2). Factor v*m**3 - 5*m**3 + 3*m**4 + 5*m**3 - 3*m - 3*m**2.
3*m*(m - 1)*(m + 1)**2
Let k(c) be the second derivative of c**7/1260 + c**6/120 + c**5/30 - c**4/6 - c. Let z(w) be the third derivative of k(w). Factor z(g).
2*(g + 1)*(g + 2)
Suppose 5*m + 10 = 20. Find u such that 0*u**4 + 1/2*u**3 + 0*u**m + 0*u + 0 - 1/2*u**5 = 0.
-1, 0, 1
Factor -4/5 - 6/5*x - 2/5*x**2.
-2*(x + 1)*(x + 2)/5
Suppose 17 = 5*j + 2. Let b be 0 + 1 + -2 + 11. Factor 10*r**3 + 0*r**5 - 2 + b*r**2 + r**5 + j + 5*r**4 + 5*r + 0*r**2.
(r + 1)**5
Factor 25*i**3 - 5*i**4 - 10*i + 67 - 15*i + 35*i**2 - 37 - 60.
-5*(i - 6)*(i - 1)*(i + 1)**2
Let r = 266/5 - 53. Let n(j) be the second derivative of 0 + r*j**5 - 2*j + 0*j**3 + 1/6*j**4 + 0*j**2. What is i in n(i) = 0?
-1/2, 0
Suppose -20 = -4*b - 3*a, 2 = 3*b - 2*a + a. Let i = 892/35 + -126/5. Determine f so that i + 2/7*f**b + 4/7*f = 0.
-1
Factor -101*g**2 + 8*g + 35*g**2 + 29*g**2 + 33*g**2.
-4*g*(g - 2)
Let k(y) = -y**5 - 40*y**4 + 61*y**3 - 31*y**2. Let b(h) = 8*h**4 - 12*h**3 + 6*h**2. Let r(a) = 11*b(a) + 2*k(a). Factor r(w).
-2*w**2*(w - 2)*(w - 1)**2
Let d = 12 - 4. Factor -4*y**4 - 20 + 20 - d*y**5 - 6*y**5.
-2*y**4*(7*