2)/20 - -3. Let v = 13/15 + -1/15. Factor -2/5 - x*s**2 - v*s.
-2*(s + 1)**2/5
Suppose -5*z = 4*a - 6 - 27, -31 = -3*a - 5*z. Factor 6/5*t**a - 3/5*t**4 + 0*t**3 - 3/5 + 0*t.
-3*(t - 1)**2*(t + 1)**2/5
Let p(g) be the first derivative of -7 - 1/27*g**6 - 4/27*g**3 + 1/9*g**4 + 2/45*g**5 + 2/9*g - 1/9*g**2. Factor p(k).
-2*(k - 1)**3*(k + 1)**2/9
Factor 7/2*r**3 + 4*r**4 + 3/2*r**5 + r**2 + 0 + 0*r.
r**2*(r + 1)**2*(3*r + 2)/2
Let z(l) = 3*l**3 - 22*l**2 - 15*l + 90. Let k(q) = -5*q**3 + 45*q**2 + 30*q - 180. Let b(s) = 2*k(s) + 5*z(s). Factor b(a).
5*(a - 3)**2*(a + 2)
Let t(p) be the second derivative of -p**5/90 - p**4/18 - p**3/9 + 3*p**2/2 - 5*p. Let u(v) be the first derivative of t(v). Factor u(i).
-2*(i + 1)**2/3
Let y = 8 - 5. Let s(r) = 0*r**2 + 0*r**2 + r**2 - r**y + r**4 - r - 1. Let i(u) = 22*u**4 - 55*u**3 + 57*u**2 - 28*u. Let o(k) = i(k) - 4*s(k). Factor o(d).
(d - 1)*(2*d - 1)*(3*d - 2)**2
Let b(z) = -z + 10. Let q be b(9). Let 0 - q + 4*u - 4 - u**2 + 1 = 0. What is u?
2
Determine c, given that -12/7 - 9/7*c + 3/7*c**2 = 0.
-1, 4
Let n be (1096/180 + -6)*5. Let -8/9*q**2 - 4/9*q**3 + n*q**4 + 2/9*q + 4/9 + 2/9*q**5 = 0. What is q?
-2, -1, 1
Let l = 73/290 + -3/58. Factor -1/5 + 2/5*k - l*k**2.
-(k - 1)**2/5
Let o be 6/15 - (-34)/(-10) - -5. Let z(v) be the second derivative of -o*v + 1/6*v**3 - 1/20*v**5 - 1/2*v**2 + 1/12*v**4 + 0. Factor z(f).
-(f - 1)**2*(f + 1)
Let p = 12 + -10. Suppose -a = -p*a. Determine c so that a*c + 1/4 - 1/4*c**2 = 0.
-1, 1
Let n(b) = 10*b**3 - 17*b**2 + 7*b. Let a(o) = -10*o**3 + 16*o**2 - 6*o. Let p(s) = 3*a(s) + 2*n(s). Factor p(t).
-2*t*(t - 1)*(5*t - 2)
Let t(i) = 2*i**2 + 49*i + 341. Let w(x) = 10*x**2 + 244*x + 1706. Let d(u) = -16*t(u) + 3*w(u). What is z in d(z) = 0?
-13
Let t be (20/(-105))/((-8)/12). Factor 1/7*s**3 + 0 + t*s**2 + 1/7*s.
s*(s + 1)**2/7
Let b(w) = 96*w**4 + 53*w**3 - 37*w**2 + 6*w + 5. Let d(v) = 144*v**4 + 79*v**3 - 56*v**2 + 9*v + 7. Let p(y) = 7*b(y) - 5*d(y). Factor p(r).
-3*r*(r + 1)*(4*r - 1)**2
Let s(x) be the second derivative of x**6/10 - 3*x**5/5 + 5*x**4/4 - x**3 - 4*x. What is l in s(l) = 0?
0, 1, 2
Let a(z) = -13*z**3 - 4*z**2 - 9*z + 9. Let v(q) = -2*q - 4 + 4 - 3*q**3 + 1 + 1 - q**2. Let k(i) = 4*a(i) - 18*v(i). Determine g, given that k(g) = 0.
-1, 0
Let p be 1/3*-2 - (-35)/30. Factor -p - 1/2*a**2 - a.
-(a + 1)**2/2
Let f(q) be the first derivative of 2/7*q + 1 + 5/7*q**2 + 3/14*q**4 + 2/3*q**3. Factor f(z).
2*(z + 1)**2*(3*z + 1)/7
Let i(y) be the first derivative of -y**6/2 + 9*y**5/5 - 3*y**4/2 - 2*y**3 + 9*y**2/2 - 3*y - 4. Factor i(o).
-3*(o - 1)**4*(o + 1)
Let o(l) be the third derivative of -l**7/105 + l**6/30 + l**5/30 - l**4/6 - 12*l**2. Determine i so that o(i) = 0.
-1, 0, 1, 2
Suppose 5*y = -w - 0*y - 13, 0 = -3*w - y + 3. Find d, given that -1/3*d**3 - 4*d - w*d**2 - 8/3 = 0.
-2
Let u be (-1 - (1 + (-48)/20)) + 0. Suppose -26 = -4*w + 2*i, w - 2*i + 9 = 20. Find g such that -g**w + u*g**2 + 0*g + 0 + 12/5*g**4 - 9/5*g**3 = 0.
0, 2/5, 1
Suppose 6*k = 55 - 43. Solve 2/3*g + 4/9 + 2/9*g**k = 0.
-2, -1
Let d be (-310)/(-200) - 1/((-4)/(-3)). Factor 0*x**2 + 4/5*x - d*x**3 - 2/5*x**4 + 2/5.
-2*(x - 1)*(x + 1)**3/5
Let c be (-28)/(-63) - (-44)/144. Factor 0*f - c*f**4 + 0*f**2 + 0 - 3/4*f**3.
-3*f**3*(f + 1)/4
Factor 14*c**4 - 18*c**3 - 4*c**4 - 17*c**3 - c**2 - 19*c**2.
5*c**2*(c - 4)*(2*c + 1)
Let v = -21 + 21. Factor 1/4*t + v + 1/4*t**2.
t*(t + 1)/4
Factor 8/7 - 2*l**2 - 24/7*l.
-2*(l + 2)*(7*l - 2)/7
Let l(d) be the first derivative of d**4/18 + 2*d**3/3 + 3*d**2 - d - 1. Let k(x) be the first derivative of l(x). Find f such that k(f) = 0.
-3
Determine j, given that 30*j**4 - j**4 + j**4 - 27*j**3 + 6*j - 9*j**2 = 0.
-1/2, 0, 2/5, 1
Let h(g) = -g**5 + g**4 - g**2 - 1. Let c(b) = 6*b**5 - 6*b**4 - 2*b**3 + 6*b**2 + 4. Let s(r) = c(r) + 4*h(r). Factor s(j).
2*j**2*(j - 1)**2*(j + 1)
Let f(v) be the second derivative of -1/90*v**5 + 0*v**4 - 1/135*v**6 + 0*v**2 - v + 0 + 0*v**3. Let f(u) = 0. Calculate u.
-1, 0
Let d = -4 - -4. Suppose 19*t = 6*t. Factor 1/2*a**4 + t*a**3 + 0*a**2 + 0 + d*a - 1/2*a**5.
-a**4*(a - 1)/2
Let i = 830 + -828. Factor -2/7*m**3 + 4/7*m - 2/7*m**i + 0.
-2*m*(m - 1)*(m + 2)/7
Factor 26 - j**2 + 2*j - 53 + 26.
-(j - 1)**2
Let y = 11 + -5. Suppose -y*k = -4*k. Let 0*h + k + 2/7*h**2 = 0. Calculate h.
0
Let z(f) be the second derivative of 1/135*f**6 + 2*f - 1/9*f**2 + 0 + 2/27*f**3 - 1/45*f**5 + 0*f**4. Determine t so that z(t) = 0.
-1, 1
Let w = 13 + -5. Suppose -3*t - 16 = t - 4*d, -t + 2*d - w = 0. Factor t*o**2 + 2/5*o**3 - 2/5*o + 0.
2*o*(o - 1)*(o + 1)/5
Let w = 123 + -121. Let o(r) be the third derivative of 0*r**4 + 0 + 0*r + 0*r**3 - w*r**2 + 1/60*r**5. Factor o(p).
p**2
Let o(g) be the second derivative of -g**7/14 + 3*g**5/10 - g**3/2 + 3*g. Let o(c) = 0. Calculate c.
-1, 0, 1
Find n, given that -21*n**4 + 13*n**2 + 11*n**2 + 4*n**4 - 7*n**4 + 4*n**5 - 4*n**3 = 0.
-1, 0, 1, 6
Let u(t) be the second derivative of 0 - 1/42*t**4 + 4/21*t**3 - 4/7*t**2 - 4*t. Factor u(k).
-2*(k - 2)**2/7
Let s = -1353 + 9525/7. Let -16/7*v**3 - s - 108/7*v - 72/7*v**2 = 0. What is v?
-3/2
Let a = -28 + 169/6. Let m(q) be the second derivative of -2*q + a*q**3 + 0*q**2 + 1/80*q**5 - 1/12*q**4 + 0. Suppose m(i) = 0. What is i?
0, 2
Suppose 0*h = 4*h - 136. Let x be (-3)/12 + h/72. Suppose 4/9*g**3 - 2*g**4 + x + 8/9*g**5 + 16/9*g**2 - 4/3*g = 0. Calculate g.
-1, 1/4, 1
Let a(t) be the third derivative of -t**8/33600 - t**7/4200 - t**6/1200 - t**5/10 - 4*t**2. Let j(x) be the third derivative of a(x). Solve j(w) = 0 for w.
-1
Let v = -190 - -193. Factor -2/3*z**4 + 4/3*z + 0*z**2 - 4/3*z**v + 2/3.
-2*(z - 1)*(z + 1)**3/3
Let a = 3/176 - -871/528. Solve 7/3*y**3 + y**4 + a*y**2 + 0 + 1/3*y = 0 for y.
-1, -1/3, 0
Let x(j) be the second derivative of j**5/240 - j**4/16 + 3*j**3/8 - 2*j**2 + j. Let c(d) be the first derivative of x(d). Determine a so that c(a) = 0.
3
Suppose 7*h = 2*h + 15. Let w(g) be the first derivative of 0*g**2 - 1 + 0*g + 1/2*g**4 + 0*g**h. Suppose w(a) = 0. What is a?
0
Let u be (-2)/6*(-15 - 0). Determine g, given that -g**2 - u*g + 3*g + g + 2 = 0.
-2, 1
Let 4/5 + 2/5*p**2 + 6/5*p = 0. Calculate p.
-2, -1
Let u(g) = -g. Let x(b) = -2*b**2 - 13*b - 2. Let m(z) = 18*u(z) - 2*x(z). Factor m(w).
4*(w + 1)**2
Let l be 16/28*((-19)/(-6) - 2). Find i such that -1/3*i**3 + 0*i + 0 + l*i**2 = 0.
0, 2
Let g(h) be the first derivative of 4*h + 3 + 7/2*h**2 + 7/3*h**3. Let s(l) = 6*l**2 + 6*l + 3. Let i(b) = 5*g(b) - 6*s(b). Factor i(a).
-(a - 1)*(a + 2)
Let t(u) be the third derivative of u**6/320 - 4*u**2. Factor t(w).
3*w**3/8
Let p(l) = l + 12. Let m be p(-12). Let d = 434/9 - 48. Suppose -2/9*x + m + d*x**2 = 0. What is x?
0, 1
Let j be 0 + 1 + (-2 - -3). Solve -23*h**j + 0*h**2 + 4*h**3 - h**2 + 48*h - 32 = 0 for h.
2
Let k(r) be the second derivative of -r**6/315 + r**4/63 - r**2/21 + 16*r. Factor k(z).
-2*(z - 1)**2*(z + 1)**2/21
Let k be 190/(-20) + 2/(-4). Let o = k - -12. Suppose -1/2*d**5 + 0 - 1/2*d - 2*d**4 - 2*d**o - 3*d**3 = 0. Calculate d.
-1, 0
Let x(o) = 3*o**2 + 3*o - 1. Let l be x(-2). Let w be (-3)/((27/6)/(-1)). Factor -20/3*n**2 - 10/3*n**4 - 10/3*n - 2/3*n**l - 20/3*n**3 - w.
-2*(n + 1)**5/3
Suppose 2*v - 3*w + 9 = 2*w, w = -2*v + 9. Let b(x) be the second derivative of 3*x + 1/12*x**4 + 0 + 0*x**2 + 0*x**v. Determine d so that b(d) = 0.
0
Find t such that 4/5*t**2 + 4/5*t - 8/5 = 0.
-2, 1
Let r be (-10)/6*30/(-25). Let o = -267 + 1339/5. Factor -6/5*a - 2/5*a**r - o.
-2*(a + 1)*(a + 2)/5
Let h(m) = -2*m**3 - 3*m**2 - m - 1. Let c(g) = -g**2 + 4*g - 2. Let o be c(4). Let q be h(o). Factor 3*u**2 + 4*u**5 - 4 - 6*u**q + 8*u**3 - 6*u + u**2.
-2*(u - 2)*(u - 1)*(u + 1)**3
Let s(a) = a**2 + 4*a - 12. Let b be s(-6). Let x(f) be the first derivative of -1/12*f**3 + 1/16*f**4 + b*f + 2 + 0*f**2. Factor x(t).
t**2*(t - 1)/4
Let g = -26 - -46. Suppose -g = 5*j, 5*f - 16 = 2*f + 4*j. Solve -8/3*x**3 - 2/3*x - 7/3*x**2 + f - x**4 = 0.
-1, -2/3, 0
Find p such that -6*p**4 + 4*p**3 + 2 + 3*p**2 + 5*p**2 - 6*p + 2*p**5 - 4*p**2 = 0.
-1, 1
Let l(u) be the second derivative of -u**7/126 - 2*u**6/45 - u**5/20 + u**4/9 + 2*u**3/9 - 13*u. Determine y so that l(y) = 0.
-2, -1, 0, 1
Suppose 54 = 3*n + 5*i, 4*n - 2*n - 