*2 + 17*f - 3. Let o(k) = z*i(k) - 3*y(k). Factor o(x).
5*x*(x - 4)*(x - 1)
Let p be -1*((-1)/(-1) + (-3)/1). Determine g so that -2 + 80*g - 78*g + 2 - p*g**2 = 0.
0, 1
Let l(t) be the second derivative of t**6/105 - 3*t**5/14 + 27*t**4/14 - 9*t**3 + 162*t**2/7 - 37*t + 1. Factor l(v).
2*(v - 6)*(v - 3)**3/7
Let n(v) be the second derivative of 2*v**7/21 - v**5/5 + 260*v. Determine u so that n(u) = 0.
-1, 0, 1
Let k(q) = -20*q**2 + 161*q - 82. Let a(z) = -10*z**2 + 80*z - 40. Let r(g) = -13*a(g) + 6*k(g). Solve r(l) = 0.
2/5, 7
Suppose -5*n = -3*f + 20, f - 90 = -4*f - 3*n. Factor 12*a**4 + 4*a**5 - f*a**4 - 3*a**3 - a**5 + 3*a**2.
3*a**2*(a - 1)**2*(a + 1)
Let n(g) = g**2 + g + 1. Let a(x) = -2 - 14*x**2 - 67*x**4 - x**5 + 59*x**4 - 4*x - 2 - 17*x**3. Let q(d) = -a(d) - 4*n(d). Find i, given that q(i) = 0.
-5, -2, -1, 0
Let u be -6 + (-32)/(-80) + 38/5. Find q such that 0 - 2/3*q**u - 2/3*q**4 + 4/3*q**3 + 0*q = 0.
0, 1
Suppose 0*m = -6*m - 126. Let v = m + 24. Solve 4*x**2 - 8 + 3 - 4*x + 4*x**v + 1 = 0.
-1, 1
Let x(m) = 27*m - 18 - 14*m**2 - 17*m**2 + 11*m**2. Let b(d) = -7*d**2 + 9*d - 6. Let g be 22/(-8)*8/2. Let c(j) = g*b(j) + 4*x(j). Find o such that c(o) = 0.
1, 2
Factor 169/2 + 143/2*f + 1/2*f**3 - 25/2*f**2.
(f - 13)**2*(f + 1)/2
Let u(y) = -y**3 + 2*y**2 - y + 1. Let r(z) = 9*z**3 - 12*z**2 - 13*z + 9. Let j(c) = 2*r(c) + 14*u(c). Factor j(v).
4*(v - 2)*(v - 1)*(v + 4)
Let j(t) = t**3 - 8*t**2 + 114*t - 908. Let u be j(8). Factor 0*v**3 + 3/5*v**2 - 1/5*v**u + 0 - 2/5*v.
-v*(v - 1)**2*(v + 2)/5
Let s(h) be the third derivative of h**5/30 + 79*h**4/84 + 22*h**3/21 + 3*h**2 - 7*h. Factor s(z).
2*(z + 11)*(7*z + 2)/7
Let m be 9/(-15)*-8*10/36. Let d = -3/7 + 65/21. Factor 8/3 + d*s - m*s**3 - 2*s**2 + 2/3*s**4.
2*(s - 2)**2*(s + 1)**2/3
Let y(m) be the second derivative of m**7/63 - m**5/15 + m**3/9 - 121*m. What is i in y(i) = 0?
-1, 0, 1
Let p be -2 + 0 + 615/312. Let q = p - -223/520. Factor -1/5*v**3 - q*v**2 + 2/5 + 1/5*v.
-(v - 1)*(v + 1)*(v + 2)/5
Let u(h) = -2*h**2 + 8*h + 68. Let k be u(-4). Factor -2/9*x**k + 4/9*x**3 - 8/9 + 2/3*x**2 - 8/9*x.
-2*(x - 2)**2*(x + 1)**2/9
Suppose -187*r + 182*r + 60 = 0. Suppose 78 - 18 = r*n. Let 15/2*b**n + 102*b**3 + 104*b**2 + 8 + 91/2*b**4 + 48*b = 0. Calculate b.
-2, -1, -2/3, -2/5
Let p(f) be the third derivative of f**5/15 + 7*f**4/6 + 8*f**3 + 2*f**2 + 90*f. Determine w, given that p(w) = 0.
-4, -3
Let c = -811/3 + 271. Let s(t) be the first derivative of -3 - 2*t**2 + 0*t - c*t**3. Factor s(v).
-2*v*(v + 2)
Let i(t) be the third derivative of -7*t**2 + 0*t + 0*t**4 + 1/140*t**6 + 0*t**3 - 1/105*t**5 + 0 - 1/1176*t**8 + 0*t**7. What is k in i(k) = 0?
-2, 0, 1
Let z(l) be the first derivative of -l**7/1050 + l**5/150 - 23*l**3/3 + 16. Let h(p) be the third derivative of z(p). Determine y, given that h(y) = 0.
-1, 0, 1
Let u(c) = -7*c**5 - 48*c**4 + 82*c**3 - 109*c**2 + 30*c. Let s(x) = -x**5 - 8*x**4 + 14*x**3 - 18*x**2 + 5*x. Let q(g) = -13*s(g) + 2*u(g). Factor q(t).
-t*(t - 5)*(t - 1)**3
Let i(g) be the second derivative of -169*g**5/10 - 13*g**4/6 + 133*g**3/3 + 49*g**2 + 3*g - 16. Factor i(v).
-2*(v - 1)*(13*v + 7)**2
Let d(k) = 111*k + 670. Let g be d(-6). Let l(u) be the second derivative of -3/4*u**2 - 1/48*u**g + 10*u - 5/24*u**3 + 0. Factor l(f).
-(f + 2)*(f + 3)/4
Let x(a) be the third derivative of -a**6/780 + 7*a**5/390 - 5*a**4/52 + 3*a**3/13 + 121*a**2. Factor x(j).
-2*(j - 3)**2*(j - 1)/13
Let i = 1 - -3. Factor -7*a - a + i*a + 2*a**2 - 4*a.
2*a*(a - 4)
Factor 0 + 0*z**2 - 9*z**4 + 1/2*z**5 - 19/2*z**3 + 0*z.
z**3*(z - 19)*(z + 1)/2
Let f(c) be the second derivative of -c**5/150 - c**4/30 - 8*c**2 + 18*c. Let r(h) be the first derivative of f(h). Factor r(q).
-2*q*(q + 2)/5
Factor 1/5*c**3 - c**2 + 6/5*c + 0.
c*(c - 3)*(c - 2)/5
Let x(o) be the third derivative of o**8/3360 - o**7/630 - o**6/120 - 3*o**4/8 + 11*o**2. Let i(l) be the second derivative of x(l). Factor i(c).
2*c*(c - 3)*(c + 1)
Suppose -5*r + 112 = 4*t, -118 = -5*r - 11*t + 10*t. Determine l, given that 98*l**3 + 84*l**2 + r*l + 16/7 = 0.
-2/7
Let t(x) be the third derivative of 0*x**3 + 0 - x**2 + 0*x + 2/35*x**7 + 7/15*x**5 - 4/15*x**6 - 1/3*x**4. Solve t(g) = 0.
0, 2/3, 1
Factor 104/5*t - 2/5*t**2 - 1352/5.
-2*(t - 26)**2/5
Let d be 8/(-3)*3/(-2). Suppose 27*o - 32*o + 18 = 4*b, 0 = 3*o + b - 8. Let -1/4*w + 0 - 1/4*w**o + 1/4*w**d + 1/4*w**3 = 0. Calculate w.
-1, 0, 1
Suppose -q + 4*q = 36. Suppose -q*s + 27 = -3*s. Factor 10/7*w**2 + 2/7*w**s + 6/7*w - 18/7.
2*(w - 1)*(w + 3)**2/7
Let d be (-351)/(-54) + 14/2. Let n(h) be the second derivative of -12*h**3 + 1/10*h**6 + d*h**2 + 11/2*h**4 + 0 - 6/5*h**5 - h. Factor n(v).
3*(v - 3)**2*(v - 1)**2
Let l(m) be the first derivative of -1 + 3*m**2 - 4*m - 3/4*m**3 + 1/16*m**4. Determine p, given that l(p) = 0.
1, 4
Suppose -5*m + 11 = -3*a, -m + 10 - 3 = a. What is n in -2*n**3 + 8*n**3 + 4*n**m - 8*n + 20*n**2 - 22*n**3 = 0?
0, 1, 2
Let s = 333 - 333. Let q(b) be the third derivative of -1/180*b**5 + s*b - 4*b**2 + 0 + 1/12*b**4 - 1/2*b**3. Determine l, given that q(l) = 0.
3
Let p(x) = -4*x**4 + 28*x**3 - 26*x**2 - 32*x + 28. Let w(r) = -r**4 - r**3 - r. Let k(y) = -p(y) + 2*w(y). Suppose k(t) = 0. What is t?
-1, 1, 14
Factor 8*i**4 - 6*i + 7*i**2 - 3*i**4 + 2*i**2 - 8*i**4.
-3*i*(i - 1)**2*(i + 2)
Let r(z) be the first derivative of z**6/480 + z**5/240 - z**4/96 - z**3/24 + 3*z**2/2 + 11. Let h(w) be the second derivative of r(w). Factor h(g).
(g - 1)*(g + 1)**2/4
Let g(h) be the third derivative of h**8/7680 + h**7/10080 - 5*h**4/12 + 19*h**2. Let m(y) be the second derivative of g(y). Factor m(n).
n**2*(7*n + 2)/8
Factor 15/4*d + 1/4*d**3 + 9/4 + 7/4*d**2.
(d + 1)*(d + 3)**2/4
Let 28/5*z - 16/5 - 14/5*z**2 + 2/5*z**3 = 0. Calculate z.
1, 2, 4
Let y(j) = -j**3 - 7*j**2 - 3*j - 5. Let m be y(-7). Let k = m + -13. Factor h**3 - 2*h**3 - k*h**2 + 2*h**2.
-h**2*(h + 1)
Let p(r) be the third derivative of -r**7/42 + r**6/4 - 13*r**5/12 + 5*r**4/2 - 10*r**3/3 + 74*r**2 - r. Factor p(k).
-5*(k - 2)**2*(k - 1)**2
Solve 1/4*o**3 + 5/12*o + 11/6*o**2 - 11/6*o**4 - 2/3*o**5 + 0 = 0.
-5/2, -1, -1/4, 0, 1
Let n(w) be the third derivative of w**5/180 + 7*w**4/72 + 5*w**3/9 - 71*w**2 + 1. Determine l so that n(l) = 0.
-5, -2
Suppose 3564 = -10*o + 3714. Determine u so that 13/2*u**2 + 9/2 + 10*u**3 - o*u + 2*u**4 = 0.
-3, 1/2
Factor -88*i + 260/3*i**2 + 4/3*i**3 + 0.
4*i*(i - 1)*(i + 66)/3
Let x(g) be the third derivative of g**7/840 - g**6/80 - g**5/10 + 7*g**4/12 - 33*g**2. Let z(p) be the second derivative of x(p). Factor z(v).
3*(v - 4)*(v + 1)
Let f(m) be the first derivative of -m**4/6 + 4*m**3/9 - m**2/3 - 112. Factor f(o).
-2*o*(o - 1)**2/3
Let q(y) be the second derivative of -y**7/210 - y**6/6 - 47*y**5/20 - 203*y**4/12 - 196*y**3/3 - 686*y**2/5 + 96*y. Determine t so that q(t) = 0.
-7, -2
Let i(d) be the first derivative of -1/10*d**5 + 1/8*d**4 + 0*d**2 - 37 - 1/18*d**3 + 0*d + 1/36*d**6. Let i(a) = 0. Calculate a.
0, 1
Let l be -19*1/(-45) - (6 - (-988)/(-171)). Find v, given that -1/5*v**2 - v - 3/5 + l*v**3 = 0.
-1, 3
Let q(j) be the second derivative of -j**4/42 + 3*j**3 - 256*j. Suppose q(o) = 0. Calculate o.
0, 63
Suppose 0 = -5*h + j + 18, 2*h - 5*j + 2 = -0*h. Let -21*m**4 + 5*m**5 - 4*m - 20*m**2 + 30*m**3 + 0*m + 9*m + m**h = 0. Calculate m.
0, 1
Let y(p) be the second derivative of -p**6/80 + 23*p**5/80 - 7*p**4/8 + 2*p**3/3 - 10*p. Let s(d) be the second derivative of y(d). Suppose s(o) = 0. What is o?
2/3, 7
Let b be (5/3)/(12*11/396). Let n(i) be the third derivative of -1/35*i**b + 0 + 0*i + 9*i**2 - 1/14*i**3 - 1/14*i**4. Factor n(w).
-3*(2*w + 1)**2/7
Let f be 20/(-16) + (-153)/(-36). Let h(z) be the third derivative of 0 + 0*z - 1/120*z**6 - 1/15*z**5 + 2*z**2 - 1/3*z**f - 5/24*z**4. Factor h(j).
-(j + 1)**2*(j + 2)
Solve -15*g**4 + 5*g**2 - 3*g**5 + 11*g**5 + 2*g**5 + 0*g**5 = 0.
-1/2, 0, 1
Let h(t) = -6*t**2 + 356*t - 5046. Let j(q) = -4*q**2 + 237*q - 3364. Let d(p) = -5*h(p) + 8*j(p). Factor d(m).
-2*(m - 29)**2
Let b be 8 - (-3 - (-2)/1). Let m = b - 9. Factor m*n**2 - 2*n**2 + 26*n**3 - 24*n**3.
2*n**2*(n - 1)
Let z = -2/72385 - 101483752/651465. Let u = z - -156. Factor u - 2/9*j**2 - 2/9*j**3 + 2/9*j.
-2*(j - 1)*(j + 1)**2/9