5/2 = 0.
1, 5
Let u(f) be the first derivative of -f**4 + 28*f**3/3 - 30*f**2 + 36*f - 7. Factor u(q).
-4*(q - 3)**2*(q - 1)
Let j(f) be the first derivative of f**7/840 - f**6/480 - f**5/120 - f**2/2 + 3. Let n(a) be the second derivative of j(a). Factor n(y).
y**2*(y - 2)*(y + 1)/4
Let t(m) = 9*m**4 - 7*m**3 + 3*m**2 - 7*m + 2. Let x(u) = -5*u**4 + 4*u**3 - 2*u**2 + 4*u - 1. Let j(g) = -4*t(g) - 7*x(g). Factor j(l).
-(l - 1)**2*(l + 1)**2
Let k(f) be the second derivative of -1/84*f**7 + 0 + 1/12*f**4 + 6*f + 0*f**2 - 1/30*f**6 + 0*f**5 + 1/12*f**3. Factor k(a).
-a*(a - 1)*(a + 1)**3/2
Let n be (-38)/(-35) + 144/(-180). Find z such that 2/7*z**5 + 0 - 8/7*z**4 + n*z - 8/7*z**2 + 12/7*z**3 = 0.
0, 1
Suppose -5*i - 125 = 5*y, -4*i + 17 - 112 = 3*y. Let f be 15/(-6)*4/i. Determine m, given that -m + 0*m**2 + m**3 - f*m**4 + 1/2 = 0.
-1, 1
Let c be 1/2*0/(-39). Factor 1/4*t**5 + 0*t**3 + c*t + 1/4*t**4 + 0 + 0*t**2.
t**4*(t + 1)/4
Factor -2/3 - 2/9*u**2 - 8/9*u.
-2*(u + 1)*(u + 3)/9
Let z(i) be the third derivative of -i**6/40 + 3*i**5/20 - i**4/4 + 7*i**2. Factor z(v).
-3*v*(v - 2)*(v - 1)
Let r be (3 - 7)*((-20)/8 + 2). Let h(k) be the third derivative of 0 + 0*k + 9/175*k**7 + 1/15*k**4 + 0*k**3 + 3/20*k**6 + 4/25*k**5 + 2*k**r. Factor h(n).
2*n*(3*n + 1)*(3*n + 2)**2/5
Let k(v) = -4*v**4 - 4*v**3 + 8*v**2 - 6*v + 6. Let x(z) = 12*z**4 + 12*z**3 - 24*z**2 + 17*z - 17. Let l = 17 + -11. Let j(u) = l*x(u) + 17*k(u). Factor j(d).
4*d**2*(d - 1)*(d + 2)
Let i be (-2)/(6/3) + 3. Factor -4*r - r**i + r + 2*r + 3*r.
-r*(r - 2)
Let j(v) = 3*v**2 + 1. Let n be j(-1). Solve -6*u**n - 7*u**2 + 4*u**2 - 2*u**3 + 7*u**2 = 0.
-1, 0, 2/3
Suppose -2*r + 138 = 5*x - 5*r, -1 = r. Suppose -5*i + p = -10 - 1, -x = -5*i - 3*p. Factor -2/7*l**i - 6/7*l**2 - 6/7*l - 2/7.
-2*(l + 1)**3/7
Let t(l) = -l**3 + 18*l**2 - 22*l + 87. Let j be t(17). Factor -2/7*s**5 + 0*s**4 + 0*s**3 + 0*s**j + 0 + 0*s.
-2*s**5/7
Let j be (2/4)/((-5)/10) - -3. Let o(q) be the first derivative of -1/6*q**j - 1/4*q**4 + 0*q - 1/15*q**5 - 1 - 1/3*q**3. Factor o(a).
-a*(a + 1)**3/3
Let f = 19/448 - -1/192. Let n(g) be the first derivative of 0*g - 1/14*g**4 + f*g**6 - 2/35*g**5 + 0*g**2 + 2/21*g**3 - 2. Factor n(m).
2*m**2*(m - 1)**2*(m + 1)/7
Suppose 8 = 4*l + 4*s, -5 = -2*l + s + 2. Let r(o) be the first derivative of 1/5*o**2 + 2 - 2/15*o**l + 0*o. Let r(n) = 0. What is n?
0, 1
Let w(x) be the third derivative of -2/27*x**4 + 0*x - 1/270*x**5 - 16/27*x**3 + 3*x**2 + 0. Factor w(a).
-2*(a + 4)**2/9
Let t be 90/27 + 8/12. Suppose 0 + 2/5*m**3 + 4/5*m**2 - 2/5*m**t + 0*m = 0. Calculate m.
-1, 0, 2
Let r(k) = 2*k**2 + 7*k - 2. Let o be r(-4). Let u(z) be the second derivative of 2*z + 0 - 8/3*z**3 + 7/12*z**4 + o*z**2. Find b such that u(b) = 0.
2/7, 2
Let c(n) be the third derivative of -2*n**2 + 0*n + 1/27*n**3 + 1/270*n**5 + 0 + 1/54*n**4. Determine w so that c(w) = 0.
-1
Let v(o) be the second derivative of -o**4/48 + o**3/12 - o**2/8 + 11*o. Solve v(l) = 0.
1
Let t(c) = 3*c**2 - 2*c**2 - 2*c**2 - 3 + 2. Let y(s) = s**2 - 3*s + 2. Let m(k) = 6*t(k) + 3*y(k). Solve m(x) = 0 for x.
-3, 0
Let w = 24/13 + -142/91. Suppose 2/7*f - 4/7 + w*f**2 = 0. What is f?
-2, 1
Find c such that 0 - 2/3*c + 22/3*c**2 = 0.
0, 1/11
Let o(m) be the first derivative of -1 - 1/25*m**5 + 0*m**2 - 1/15*m**3 + 1/10*m**4 + 0*m. Solve o(x) = 0 for x.
0, 1
Let n(j) be the second derivative of -7/9*j**3 + 7/30*j**5 - 1/9*j**4 - 3*j + 2/3*j**2 + 0. Factor n(w).
2*(w - 1)*(w + 1)*(7*w - 2)/3
Let c = -4 + 8. Factor a**2 + 3*a**3 - a**c + 13*a**5 - 4*a**5 - 4*a**3 - 8*a**5.
a**2*(a - 1)**2*(a + 1)
Let k(s) be the first derivative of 0*s**2 - 1/20*s**4 - 4 - 2/15*s**3 + 0*s. Factor k(j).
-j**2*(j + 2)/5
Find q such that -3*q + 18 + 2*q**2 + 18*q + q**2 + 6*q = 0.
-6, -1
Let g be (-6)/(-2) - (-2)/(-4). Suppose 3 = 3*u, -4*w + 2*u = 6*u - 20. Factor 3/2*t**3 + 0 - 1/2*t + g*t**w - 1/2*t**2 + t**5.
t*(t + 1)**3*(2*t - 1)/2
Let y(v) be the first derivative of -4*v**3/15 - 24*v**2/5 - 144*v/5 - 19. Let y(b) = 0. What is b?
-6
Let b(y) = 4*y**5 + 52*y**4 + 96*y**3 + 88*y**2 + 28*y - 12. Let a(g) = -g**4 - g**3 + g + 1. Let r(s) = 24*a(s) + b(s). Factor r(x).
4*(x + 1)**4*(x + 3)
Let l be 18*(-2)/(-77) - (-4)/(-22). Factor 0*u + l - 2/7*u**2.
-2*(u - 1)*(u + 1)/7
Let c be (-138)/(-315) - (-6)/45. Let -4/7*p**2 + 8/7 - c*p = 0. Calculate p.
-2, 1
Let o be 3 + (-2 - (1 - 2)). Let u = 4 - o. Factor t**3 + 2*t - t**4 + 0*t**3 - 3*t + t**u.
-t*(t - 1)**2*(t + 1)
Let y(s) be the third derivative of s**6/120 + s**5/10 - 7*s**4/24 + s**3/3 + 3*s**2. Let q be y(-7). Let 0 + 0*k + 2/5*k**q = 0. Calculate k.
0
Suppose -6*s = -4*s. Let o(r) be the first derivative of s*r**2 + 0*r + 2/15*r**5 + 3 + 1/3*r**4 - 1/9*r**6 + 0*r**3. What is q in o(q) = 0?
-1, 0, 2
Let z(u) be the second derivative of u**4/18 + 2*u**3/3 + 24*u. Factor z(m).
2*m*(m + 6)/3
Let h(z) be the first derivative of z**7/840 + z**6/360 - z**5/120 - z**4/24 + z**3 - 2. Let w(y) be the third derivative of h(y). Suppose w(b) = 0. What is b?
-1, 1
Suppose 0*d + 10 = 2*d. Factor 4*o**4 + d*o - 5*o**3 - 5*o + o**2.
o**2*(o - 1)*(4*o - 1)
Let b = 1 + 3. Suppose 2 = -3*j + b*j. Find v, given that -v**2 - v**j - 1 + 3*v**2 = 0.
-1, 1
Let t(a) be the third derivative of a**5/100 + a**4/10 + 3*a**3/10 - 16*a**2. Determine i, given that t(i) = 0.
-3, -1
Let a(v) = v**2 - 7*v + 10. Let u be a(7). Let d be ((-2)/u)/(12/(-15)). Determine k so that -1/4 + 1/2*k + 0*k**2 - 1/2*k**3 + d*k**4 = 0.
-1, 1
Suppose 3*p = 13 - 4. Suppose -k + 12 = p*s, 15 = -0*k + 5*k. Factor 0*f**4 + 2/3*f + 0*f**2 - 4/3*f**s + 0 + 2/3*f**5.
2*f*(f - 1)**2*(f + 1)**2/3
Suppose 0*i + 44 = -i. Let m = i + 140/3. Find p such that -m*p**5 - 2/3 - 56/3*p**3 - 34/3*p**4 - 44/3*p**2 - 16/3*p = 0.
-1, -1/4
Let r = 85 - 82. Suppose 0*s**r - 2/3*s**4 - 2/3 + 4/3*s**2 + 0*s = 0. Calculate s.
-1, 1
Let u(r) = 2*r**2 + 30*r + 17. Let k(w) = -w**2 - 10*w - 6. Let a(z) = -17*k(z) - 6*u(z). Factor a(j).
5*j*(j - 2)
Let p(g) be the first derivative of -g**6/24 + 11*g**5/20 - 23*g**4/8 + 15*g**3/2 - 81*g**2/8 + 27*g/4 + 74. Factor p(z).
-(z - 3)**3*(z - 1)**2/4
Suppose -5*x = 5*p, -4*x + p + 4*p + 18 = 0. Factor 1 + 4*i + 2*i**2 - x*i - 1.
2*i*(i + 1)
Let y(n) = n**3 + 3*n**2 - 3*n - 7. Let t(k) = 3*k**3 + 8*k**2 - 8*k - 20. Let m(b) = -6*t(b) + 17*y(b). Find w such that m(w) = 0.
1
Factor 1/2*n**3 - n**2 + 1 - 1/2*n.
(n - 2)*(n - 1)*(n + 1)/2
Let k(y) = -y**3 - y**2 + 5*y - 3. Let f(v) = v**3 - v**2 - v + 1. Let s(r) = 12*f(r) + 3*k(r). Factor s(c).
3*(c - 1)**2*(3*c + 1)
Let a(n) be the second derivative of -1/60*n**6 - 9*n + 0*n**4 + 0 + 0*n**5 - 5/168*n**7 + 0*n**3 + 0*n**2. Suppose a(m) = 0. Calculate m.
-2/5, 0
What is k in 20 - 10*k - 235/2*k**3 - 105*k**2 - 15/2*k**5 - 50*k**4 = 0?
-2, -1, 1/3
Factor 2/21*k**2 - 8/7*k + 24/7.
2*(k - 6)**2/21
Let o be 4 - ((-2 - -9) + -4). Let s(b) be the first derivative of 1/27*b**6 + 0*b + 0*b**3 + 0*b**5 + o - 1/18*b**4 + 0*b**2. Factor s(k).
2*k**3*(k - 1)*(k + 1)/9
Factor -8/5 - 24/5*c + 14/5*c**2.
2*(c - 2)*(7*c + 2)/5
Let r(m) = -m - 5. Let i be r(-7). Let j = i - 0. Factor 0 + 2*t**2 + j*t**3 + 2/3*t**4 + 2/3*t.
2*t*(t + 1)**3/3
Let l(j) be the third derivative of j**5/240 + 5*j**4/96 + j**3/6 + 46*j**2. Factor l(v).
(v + 1)*(v + 4)/4
Let l = -59/3 - -21. Determine p so that 0*p - p**2 + 1/3*p**3 + l = 0.
-1, 2
Suppose -h - 11 + 17 = 0. Let i be (h/15)/((-4)/(-5)). Suppose -y**4 + i*y + y**2 + 0 - 1/2*y**5 + 0*y**3 = 0. Calculate y.
-1, 0, 1
Let r = 7/8 - -5/8. Let -1/2 - 3/2*l**2 + 1/2*l**3 + r*l = 0. Calculate l.
1
Let s(f) = f**2 - 3*f - 1. Let b be s(4). Determine y, given that 10/7*y - 4/7*y**2 - 10/7*y**b + 4/7 = 0.
-1, -2/5, 1
Let u(q) = -4*q**3 + 4*q**2 - 8*q + 2. Let n(j) = 3*j**3 - 3*j**2 + 7*j - 2. Let c(d) = 6*n(d) + 5*u(d). Let c(g) = 0. What is g?
-1, 1
Let p be (-2)/3 + 24/9. Solve -4*l**2 + 5 - 6 + 5*l**p = 0.
-1, 1
Let b(m) be the second derivative of 0*m**2 + 0*m**3 - 1/10*m**5 + 0*m**4 - 3*m + 0 + 1/15*m**6. Let b(d) = 0. Calculate d.
0, 1
Let l(f) be the first derivative of -1/90*f**6 + 0*f - 2/3*f**3 + 1/24*f**4 + 1/40*f**5 - 2 + 0*f**2. Let r(k) be the third derivative of l(k). Factor r(u).
-(u - 1)*(4*u + 1)
Let m(x) be the first derivative of 0*x**2 + 1/2*x