*2 + 2*u**3 - g*u + 2*u - 3*u**2 + 3*u = 0.
0, 1
Let z be -1 + (0 - -2) - 0. Let m be -1*(0 - z - -1). Factor 0 - 1/2*q**2 + 1/2*q**5 + m*q - 1/2*q**3 + 1/2*q**4.
q**2*(q - 1)*(q + 1)**2/2
Let q be 7*(-1 - -2) + -1. Let i = q + -4. Factor -14 + o**2 + o**3 + i*o**2 + 12 - o**4 - 2*o + o.
-(o - 2)*(o - 1)*(o + 1)**2
Let f(a) = -a**3 + a**2 - a + 1. Let y(h) = 5*h**3 - 13*h**2 + 7*h + 1. Let l(x) = 14*f(x) + 2*y(x). Determine j, given that l(j) = 0.
-2, 1
Let a(n) = -n**3 + 5*n**2 - 6*n + 4. Let w be a(3). Let s be 11 + -7 + (-14)/w. Factor -3*p**3 - 4*p + 0 + 6*p**2 + s*p**4.
p*(p - 2)**3/2
Let u(x) = 3*x**5 - 10*x**3 + 7. Suppose -16 = -5*w + 9. Let o(j) = -2*j**5 + 7*j**3 - 5. Let c(g) = w*u(g) + 7*o(g). Find z, given that c(z) = 0.
-1, 0, 1
Let w = 16 + -14. Find g, given that 9*g - 2*g**3 - 8*g + 2*g**w - g = 0.
0, 1
Let h(q) = -q**2 + 2*q + 1. Let a(v) = -v**2 + 3*v + 1. Let p(t) = -2*a(t) + 3*h(t). Let g(y) = -5*y**2 - y + 4. Let u(n) = -g(n) + 6*p(n). Factor u(o).
-(o - 2)*(o + 1)
Factor -6*h**3 + 0 + 2*h**2 - 2*h**4 + 2 - 2 + 6*h.
-2*h*(h - 1)*(h + 1)*(h + 3)
Let v = 21 - 17. Let a(k) be the third derivative of k**2 + 0*k + 0 + 1/36*k**5 - 1/72*k**v - 1/120*k**6 + 0*k**3 - 1/70*k**7. Factor a(r).
-r*(r + 1)*(3*r - 1)**2/3
Factor 1/5*m - 3/5*m**2 - 1/5*m**3 + 1/5*m**4 + 2/5.
(m - 2)*(m - 1)*(m + 1)**2/5
Let n(q) be the first derivative of -q**7/105 + q**5/15 - q**3/3 + 3*q**2/2 - 3. Let o(c) be the second derivative of n(c). Find j, given that o(j) = 0.
-1, 1
Let w(p) be the first derivative of 4*p**5/5 + 6*p**4 + 16*p**3 + 20*p**2 + 12*p + 12. Factor w(j).
4*(j + 1)**3*(j + 3)
Let -45*b**3 - 2*b**4 + 171*b**2 - 3*b**4 - 306*b**2 - 135*b = 0. Calculate b.
-3, 0
Let i(x) be the second derivative of x**8/13440 - x**7/5040 - x**6/1440 + x**5/240 - x**4/12 - 5*x. Let b(v) be the third derivative of i(v). Solve b(q) = 0.
-1, 1
Let l(n) be the first derivative of 4/9*n**3 + 0*n**2 + 0*n + 3 + 1/6*n**4. Let l(h) = 0. Calculate h.
-2, 0
Let d be (-7 - -1)/(1 + -3). Suppose 4 = -d*i + 4*i. Factor -2/3*v**5 + 0*v + 2/3*v**2 + 2/3*v**3 + 0 - 2/3*v**i.
-2*v**2*(v - 1)*(v + 1)**2/3
Let y(g) be the first derivative of -4*g**3/3 + 8. Factor y(s).
-4*s**2
Let g(z) be the first derivative of 2*z**6/9 - 4*z**5/3 + 4*z**4/3 + 14. Suppose g(x) = 0. What is x?
0, 1, 4
Suppose -d - 5*s - 105 = 0, -2*d + 15 = -s + 192. Let y be (-18)/(-4)*(-15)/d. Suppose y*o**2 + 1/4 - o - o**4 + o**3 = 0. Calculate o.
-1, 1/2, 1
Let a(c) be the second derivative of 0*c**2 + 1/21*c**7 + 0 + 3/10*c**5 + 1/6*c**4 + 3*c + 0*c**3 + 1/5*c**6. Determine t so that a(t) = 0.
-1, 0
Let j(u) be the second derivative of 25*u**5/4 - 75*u**4/4 - 135*u**3/2 - 135*u**2/2 + 18*u. Let j(g) = 0. What is g?
-3/5, 3
Let k(l) be the first derivative of -2*l**5/35 - l**4/14 + 4*l**3/21 + 12. Solve k(y) = 0 for y.
-2, 0, 1
Suppose r - 3 + 1 = -3*b, -b = 5*r + 18. Suppose -32/3 - 4802/3*m**4 - 784*m**b - 5488/3*m**3 - 448/3*m = 0. What is m?
-2/7
Let a(g) be the second derivative of 3*g**5/20 - g**4/2 + g**3/2 - 45*g. Factor a(p).
3*p*(p - 1)**2
Determine a so that -3*a**5 + 8*a**4 + 13/3*a - 2/3 - 4/3*a**3 - 22/3*a**2 = 0.
-1, 1/3, 1, 2
Let b(u) be the third derivative of u**6/480 - 25*u**2. Find i, given that b(i) = 0.
0
Let f(g) = -g**3 + 8*g**2 + 2*g - 11. Let a be f(8). Suppose a*r = -5*t, r + 5 - 2 = 0. What is h in 2/7 - 2/7*h**2 - 8/7*h + 8/7*h**t = 0?
-1, 1/4, 1
Let i(k) be the third derivative of 0 - 1/1050*k**7 + 0*k**3 + 0*k + 1/300*k**6 + k**2 - 1/300*k**5 + 0*k**4. Factor i(v).
-v**2*(v - 1)**2/5
Let w(n) be the third derivative of -n**10/226800 + n**9/90720 + n**5/60 + 4*n**2. Let q(d) be the third derivative of w(d). Factor q(v).
-2*v**3*(v - 1)/3
Let v(k) be the second derivative of -k**8/1008 + k**7/315 - k**6/360 - k**2/2 + 3*k. Let y(p) be the first derivative of v(p). Factor y(d).
-d**3*(d - 1)**2/3
Let o be 2/(-3 - 55/(-10)). Find r, given that 2/5*r**4 + 2/5*r**5 - 4/5*r**2 + 2/5*r + 2/5 - o*r**3 = 0.
-1, 1
Let c(o) = o**2 + 1 - 7*o**2 + 6*o**2 - o - o**2. Let w(t) = -6*t**3 + t**2 - t + 1. Let l(m) = -c(m) + w(m). Factor l(v).
-2*v**2*(3*v - 1)
Let z = 4 - 10. Let x be z/15 - (-44)/10. Suppose 0*f**2 + 3*f + f**2 - x*f = 0. What is f?
0, 1
Let x be ((-53)/2)/((-2)/(-16)). Let c = x - -1910/9. Let -2/3*g**2 + 2/3*g**3 - c*g**4 + 2/9*g + 0 = 0. What is g?
0, 1
Let d(r) be the second derivative of 5*r**4/48 - 5*r**3/6 + 15*r**2/8 - 4*r. Determine g so that d(g) = 0.
1, 3
Solve 3*j**2 + j**3 + 7*j**5 - 2*j - 2*j**4 - 6*j**5 - j**4 = 0.
-1, 0, 1, 2
Let t(d) be the first derivative of d**9/3402 - d**8/840 + d**7/630 - d**6/1620 + d**3/3 - 3. Let x(g) be the third derivative of t(g). Factor x(q).
2*q**2*(q - 1)**2*(4*q - 1)/9
Suppose 243*t + 60 = 258*t. Factor 0 + 0*x**2 + 3/2*x**3 + 0*x + 3/4*x**t.
3*x**3*(x + 2)/4
Determine q, given that -8*q**4 + 4*q**4 - 10*q**2 + 20*q**3 - 2*q**2 - 36*q = 0.
-1, 0, 3
Let g = 143/19 + 739/76. Let p = g - 17. Factor 0 - p*o**2 + 1/2*o.
-o*(o - 2)/4
Let c(f) = -f**2 - 11*f + 129. Let u be c(-18). Solve -2/3*i**u - 1/3 + 4/3*i**2 + 2/3*i - i**4 = 0 for i.
-1, 1/3, 1
Factor -2/11*q**2 - 2/11 + 4/11*q.
-2*(q - 1)**2/11
Let d(m) be the first derivative of 2*m**5/35 + m**4/14 - 2*m**3/7 - 5*m**2/7 - 4*m/7 + 1. Let d(q) = 0. What is q?
-1, 2
Let o(t) be the first derivative of -3*t**4/4 + 3*t**3 - 12*t - 10. Determine b, given that o(b) = 0.
-1, 2
Let z(h) be the first derivative of -h**3 + 3 + 1/8*h**4 - 4*h + 3*h**2. Factor z(k).
(k - 2)**3/2
What is o in 5*o - o**2 - 2*o - o - 1 = 0?
1
Let m(n) be the second derivative of -n**5/20 + n**4/6 - n**3/6 - 4*n. Factor m(t).
-t*(t - 1)**2
Suppose 2/17*g - 6/17*g**2 - 2/17*g**3 + 6/17 = 0. What is g?
-3, -1, 1
Let d = 81/10 - 77/10. Factor 2/15*b**2 - 4/15*b - d.
2*(b - 3)*(b + 1)/15
Let c be 0/(1/(1 + -2)). Suppose c*m - 12 = -4*m. Find v, given that -1/4*v**4 + 0*v + 0*v**m + 0*v**2 + 0 = 0.
0
Solve 2/3*x**2 + 2/5*x - 4/15 = 0 for x.
-1, 2/5
Let b = -6/17 - -47/85. Let 0 + 0*p + b*p**2 - 1/5*p**3 = 0. What is p?
0, 1
Let c be (2/(-6))/((-5)/6). Let n(q) = q**3 - 6*q**2 + 9*q - 20. Let k be n(5). Solve -2/5*j**2 + k*j**3 + 0*j + 0 + c*j**4 = 0.
-1, 0, 1
Let b(j) be the first derivative of 0*j**2 - 2/3*j**3 - 1/360*j**6 + 3 - 1/60*j**5 - 1/24*j**4 + 0*j. Let l(a) be the third derivative of b(a). Factor l(q).
-(q + 1)**2
Suppose 4*d + 73 = -7. Let o be 15/d*-2*2. Factor 2/9*r**4 + 0*r**2 - 2/9*r**o + 0*r + 0.
2*r**3*(r - 1)/9
Let p(z) be the second derivative of 0 + 1/12*z**5 + 1/90*z**6 + 4*z + 0*z**2 + 2/9*z**4 + 2/9*z**3. Let p(s) = 0. Calculate s.
-2, -1, 0
Factor -2/5*j**2 - 128/5 - 32/5*j.
-2*(j + 8)**2/5
Let w(m) = 2*m**3 + 3*m**2 + 6*m + 2. Let s(a) = 3*a**3 + 4*a**2 + 7*a + 2. Let u(i) = 3*s(i) - 4*w(i). Suppose u(t) = 0. Calculate t.
-1, 2
Find h such that -3/4*h**5 + 0 + 3/2*h + 3/4*h**4 - 15/4*h**2 + 9/4*h**3 = 0.
-2, 0, 1
Let r(t) be the second derivative of 0*t**2 + 5/6*t**4 - 21/40*t**5 + 25/84*t**7 + 0 - 1/3*t**3 - t - 1/3*t**6. Determine q, given that r(q) = 0.
-1, 0, 2/5, 1
Let q = -15 - -20. Suppose 0 = -h + q*h. Factor 1/2*m**2 + h + 1/4*m + 1/4*m**3.
m*(m + 1)**2/4
Let y(d) be the second derivative of 0 + 0*d**2 - 1/35*d**7 + 0*d**3 - d + 11/150*d**6 + 1/60*d**4 - 3/50*d**5. Solve y(h) = 0 for h.
0, 1/3, 1/2, 1
Let s(l) be the third derivative of 0 + 1/480*l**6 + 0*l**5 - 2*l**2 - 1/96*l**4 + 0*l**3 + 0*l. Let s(x) = 0. What is x?
-1, 0, 1
Let l(d) be the second derivative of -d**9/9072 - d**8/5040 + 2*d**3/3 + d. Let x(y) be the second derivative of l(y). Factor x(j).
-j**4*(j + 1)/3
Suppose 5*n - b = -75, 3*n - 46 = 7*n + 2*b. Let j = n - -16. Factor q - 2/5 + 7/5*q**j.
(q + 1)*(7*q - 2)/5
Suppose 93 - 68 = 5*w. Factor 4/3 - 10/3*g + 2/3*g**w + 4/3*g**2 - 8/3*g**4 + 8/3*g**3.
2*(g - 2)*(g - 1)**3*(g + 1)/3
Let 2/5 - 1/5*d - 2/5*d**2 + 1/5*d**3 = 0. What is d?
-1, 1, 2
Let b(v) be the first derivative of -v**3 + 0*v + v**2 - 2 + 1/4*v**4. Factor b(w).
w*(w - 2)*(w - 1)
Let g(r) = 5*r**2 - 47*r + 20. Let o be g(9). Factor -1/2*w**o - 1/2*w + 1.
-(w - 1)*(w + 2)/2
Let j(f) be the third derivative of f**8/1512 + 4*f**7/945 + f**6/135 - f**5/135 - 5*f**4/108 - 2*f**3/27 - 7*f**2. Factor j(x).
2*(x - 1)*(x + 1)**3*(x + 2)/9
Let j = -4 - 9. Let b = 13 + j. Solve -2/7*o**3 + b + 0*o**2 + 2