11/2*u**3 + 5 - 1/2*u**4 + 11/2*u - r*u**2.
-(u - 1)*(u + 1)**2*(u + 10)/2
Suppose 0 = 4*a - 11 + 3. Factor -337 + l**a + 337 + l.
l*(l + 1)
Let s = -1/3234 - -2426/1617. Find u such that 0 + 3/2*u**4 - s*u**3 - 6*u**2 + 6*u = 0.
-2, 0, 1, 2
Let c(a) be the third derivative of -4*a**7/3 + 57*a**6/8 - 59*a**5/4 + 325*a**4/24 - 5*a**3/2 - a**2 + 198*a. Factor c(b).
-5*(b - 1)**3*(56*b - 3)
Suppose -5*o + 10 = -50. Suppose 5*c = 3 + o. Let 6/11*f**2 + 2/11*f**c + 2/11 + 6/11*f = 0. Calculate f.
-1
Let v(j) = 342*j - 2392. Let q be v(7). Suppose 0*s + 0 + 0*s**3 + 4/3*s**4 - 4/3*s**q = 0. What is s?
-1, 0, 1
Determine g, given that 3*g**3 + 6 - 3/4*g**4 - 21/2*g + 9/4*g**2 = 0.
-2, 1, 4
Determine h, given that 8*h**2 - 4/7*h**3 - 240/7*h + 288/7 = 0.
2, 6
Let f(m) be the first derivative of m**5 - 5*m**4/4 - 80*m**3/3 + 40*m**2 + 194. What is d in f(d) = 0?
-4, 0, 1, 4
Determine g so that 4/7*g**3 + 2/7 + 13/7*g**2 + 11/7*g = 0.
-2, -1, -1/4
Factor -243/8*c - 27/4*c**2 + 0 - 3/8*c**3.
-3*c*(c + 9)**2/8
Let x(g) = -5*g**3 + 5*g**2 - 10*g - 20. Let f(t) = -t**2 - t. Let l(u) = -30*f(u) - x(u). Factor l(h).
5*(h + 1)*(h + 2)**2
Factor 1 - 8/3*a**3 - 26/3*a**2 - 5/3*a.
-(a + 3)*(2*a + 1)*(4*a - 1)/3
Suppose -7 = -4*i + 1. Suppose i*z = 4*z + 10, 2*c + 1 = -z. Determine x so that 9 - x**2 - 13*x + 7*x + c*x**2 = 0.
3
Factor 4*l**2 + 23 - 3*l**3 - l**2 + 33*l + 9*l**2 + 0*l**3 - 5.
-3*(l - 6)*(l + 1)**2
Let n(s) be the first derivative of 6 - 2/3*s**3 + 1/24*s**4 + 4*s**2 + 8*s. Let l(y) be the first derivative of n(y). Factor l(m).
(m - 4)**2/2
Let b(q) be the third derivative of q**5/30 - 5*q**4/4 + 26*q**3/3 + 65*q**2. Factor b(x).
2*(x - 13)*(x - 2)
Solve -106/3*p**3 - 20*p**2 + 10*p**4 + 4/3*p**5 + 0*p + 0 = 0 for p.
-10, -1/2, 0, 3
Let a(q) be the third derivative of 55/6*q**3 + 8*q**2 + 0 + 0*q - 1/12*q**5 + 25/12*q**4. Suppose a(h) = 0. What is h?
-1, 11
Determine q so that -6*q**3 - 9/2 + 6*q + 3/2*q**4 + 3*q**2 = 0.
-1, 1, 3
Factor -13*g**4 + 12*g**4 + 3*g**2 - 2*g**3 + 11*g + 5 - 1 - 3*g.
-(g - 2)*(g + 1)**2*(g + 2)
Let f(c) be the first derivative of -2*c**6/3 - 12*c**5/5 - 3*c**4 - 4*c**3/3 - 100. Let f(s) = 0. Calculate s.
-1, 0
Let p = -206125/57 - -10849/3. Factor -40/19*h - 200/19 - p*h**2.
-2*(h + 10)**2/19
Determine f, given that -4 + 46/3*f - 46/3*f**3 - 2/3*f**2 + 14/3*f**4 = 0.
-1, 2/7, 1, 3
Let c = 1637 - 4892/3. Find r such that r**5 + 2/3*r - 13/3*r**4 + 0 - 11/3*r**2 + c*r**3 = 0.
0, 1/3, 1, 2
Suppose 0 = -3*o - 2*d - 5, o + 17*d + 18 = 14*d. Factor 2/15*g**o + 0*g + 0 + 2/5*g**2.
2*g**2*(g + 3)/15
Let f(d) be the second derivative of 1/10*d**5 + 0 + 64*d**2 + 16*d**3 - 9*d + 2*d**4. Find a, given that f(a) = 0.
-4
Suppose 0 = -2*c - 2*o - o + 19, -2*o + 2 = -4*c. Suppose -g = -0 - c. Let -t**2 - t - t**2 + t + g*t = 0. Calculate t.
0, 1
Let o(l) be the second derivative of -4*l - 1/2*l**2 + 1/9*l**4 + 0 - 1/90*l**6 + 1/30*l**5 - 1/9*l**3. Factor o(a).
-(a - 3)*(a - 1)*(a + 1)**2/3
Let c = -26 - -28. Suppose 9*b - 19 = 4*b + 3*p, 1 = c*b + p. Find k, given that -1/2*k**5 + 0*k - b*k**4 - k**2 - 5/2*k**3 + 0 = 0.
-2, -1, 0
Let h(f) = -7*f**4 + 19*f**3 - 8*f**2 + 2*f + 2. Let y(t) = 6*t**4 - 18*t**3 + 9*t**2 - 3*t - 3. Let q(g) = 3*h(g) + 2*y(g). Let q(n) = 0. What is n?
0, 1/3, 2
Let d be (-3*7/42)/(1/168). Let v be 4/(-36)*3 + (-604)/d. Suppose -v*u**2 + 18/7*u + 32/7*u**3 - 2/7 = 0. Calculate u.
1/4, 1
Let a(i) be the second derivative of -16*i**6/5 + 76*i**5/5 - 59*i**4/6 - 161*i**3/3 + 98*i**2 - 108*i. Let a(n) = 0. What is n?
-1, 2/3, 7/4
Let z(x) = -x**2 + 15*x + 218. Let f be z(24). What is c in -2/5 - 7/5*c + 4/5*c**f = 0?
-1/4, 2
Suppose 0 = 6*i - 10*i + 8. Factor 0*m**5 - 1 + 1 - 2*m**4 + i*m**5.
2*m**4*(m - 1)
Let r be (-40)/(-7) - 12/(-42). Let t = -7 - -11. Suppose -w**3 + 3*w**t - 5*w**3 + 3 - 2*w**2 + 2*w**2 + 3*w**5 - r*w**2 + 3*w = 0. Calculate w.
-1, 1
Let -2929*t**2 + 7 + 2932*t**2 + t**3 - 16*t + 5 = 0. Calculate t.
-6, 1, 2
Let n(o) be the second derivative of -3*o**5/140 - 29*o**4/28 - 16*o**3 - 42*o**2 - 7*o + 17. Suppose n(c) = 0. Calculate c.
-14, -1
Find i, given that -38*i + 38*i - 4 - 62 + 4*i**2 + 2 = 0.
-4, 4
Let f(d) be the first derivative of d**6/2 - 9*d**5/5 - 57*d**4/4 + 3*d**3 + 27*d**2 + 732. Find p, given that f(p) = 0.
-3, -1, 0, 1, 6
Let d be (-4)/6*(-51)/34*-2 - -4. Let 4/5 - 4/5*r**d + 2/5*r - 2/5*r**3 = 0. What is r?
-2, -1, 1
Let r(o) be the first derivative of -o**4/20 + 2*o**3/5 + 160. Factor r(g).
-g**2*(g - 6)/5
Let k(j) be the first derivative of 10 + 0*j**2 + 2/15*j**3 - 8/5*j. Let k(h) = 0. What is h?
-2, 2
Suppose w - 3*c = -6*c + 8, 2*c - 12 = -4*w. Let u(d) be the first derivative of 0*d**w + 2 + 0*d + 0*d**3 - 1/18*d**4 + 2/45*d**5. Factor u(i).
2*i**3*(i - 1)/9
Let m = -22 - -18. Let n(f) = -21*f**3 + 45*f**2 + 39*f - 15. Let y(g) = -5*g**3 + 11*g**2 + 10*g - 4. Let c(x) = m*n(x) + 15*y(x). Factor c(p).
3*p*(p - 2)*(3*p + 1)
Let f = 94 - 90. Let r be (-9)/(-30) + f/(-24). Factor -2/5*i**2 + 0 + 4/15*i + r*i**3.
2*i*(i - 2)*(i - 1)/15
Let g(i) be the first derivative of -i**6/9 + 4*i**5/15 + 26*i**4/3 - 16*i**3/9 - 256*i**2 - 768*i + 176. Determine p, given that g(p) = 0.
-4, -2, 6
Let h(f) be the first derivative of f**2 + 4*f - 24. Let b be h(-2). Find w such that 3/4*w - 3/4*w**2 + b = 0.
0, 1
Let b(g) be the first derivative of -2*g**6/15 - g**5 - 3*g**4 - 14*g**3/3 - 4*g**2 + 15*g + 34. Let v(j) be the first derivative of b(j). Factor v(z).
-4*(z + 1)**3*(z + 2)
Let a(q) be the second derivative of -q**4/12 + 17*q**3/6 + 9*q**2 + 62*q - 1. What is h in a(h) = 0?
-1, 18
Let n(y) be the first derivative of -y**3/12 + 9*y**2/8 - 2*y + 91. Factor n(g).
-(g - 8)*(g - 1)/4
Let y = 75 + -69. Let j(n) be the second derivative of -19/15*n**3 + 0 + 21/10*n**4 + 9/25*n**y + 2/5*n**2 + 5*n - 81/50*n**5. Factor j(d).
2*(d - 2)*(3*d - 1)**3/5
Let a(o) be the first derivative of -o**3/2 - 21*o**2/4 + 36. Factor a(i).
-3*i*(i + 7)/2
Let v(f) be the third derivative of f**6/40 + f**5/2 - 2*f**2 - 61*f. Factor v(k).
3*k**2*(k + 10)
Let h(s) = -s**2 - 19*s + 4. Let r be h(-19). Factor 3/4*g**3 + 0 + 0*g**2 + 0*g - 3/4*g**r.
-3*g**3*(g - 1)/4
Let r(g) be the second derivative of g**6/195 - g**5/10 + 2*g**4/13 - 10*g - 4. Factor r(c).
2*c**2*(c - 12)*(c - 1)/13
Let t(d) = 32*d**4 - 64*d**3 + 48*d**2 - 44*d - 8. Let z(i) = -i**4 + 2*i**2 + i + 1. Let v(w) = t(w) + 12*z(w). Determine x so that v(x) = 0.
1/5, 1
Let h(d) be the third derivative of -d**8/6720 + d**7/560 - d**5/20 + 36*d**2. Let t(i) be the third derivative of h(i). Factor t(o).
-3*o*(o - 3)
Let j(t) be the first derivative of -t**5 + 25*t**4/2 - 145*t**3/3 + 20*t**2 + 240*t + 109. Factor j(x).
-5*(x - 4)**2*(x - 3)*(x + 1)
Let w(h) be the second derivative of -1/3*h**4 + 12/5*h**5 + 0 - 8*h**3 - 8/15*h**6 + 18*h - 8*h**2. Factor w(p).
-4*(p - 2)**2*(2*p + 1)**2
Let z(t) be the second derivative of t**7/1470 - t**6/420 + t**5/420 - t**2/2 - 9*t. Let s(q) be the first derivative of z(q). Solve s(j) = 0.
0, 1
Let o(l) = -l**2 - 18*l + 47. Let m(g) = g - 3. Let d(h) = -21*m(h) - 3*o(h). Factor d(w).
3*(w - 2)*(w + 13)
Let i be 3/(-12) + (-50)/(-8). Factor -i + g**2 - 6 - 3*g**2 - 12*g + 2.
-2*(g + 1)*(g + 5)
Let v be 44/(-52) + -9 - 5*-2. Suppose 0*x + 2/13*x**3 - v*x**5 + 4/13*x**2 - 4/13*x**4 + 0 = 0. What is x?
-2, -1, 0, 1
Determine q, given that 0*q - 2/13*q**3 + 0 - 8/13*q**4 + 6/13*q**5 + 4/13*q**2 = 0.
-2/3, 0, 1
Let z(i) be the first derivative of i**6/30 + 7*i**5/40 + 7*i**4/24 + i**3/6 + 16*i - 46. Let m(a) be the first derivative of z(a). Let m(s) = 0. What is s?
-2, -1, -1/2, 0
Let f(a) = -a**3 - 6*a**2 + 7*a + 4. Let z be f(-7). Factor -32*q**2 + 7*q**4 - 4*q**3 - 2 - 2*q**5 - q**z + 6*q + 28*q**2.
-2*(q - 1)**4*(q + 1)
Let x = -37/6 - -13/2. Let g be (-91)/49 + 2 - (165/63)/(-5). Factor x - l**4 - 1/3*l**5 - 2/3*l**3 + g*l**2 + l.
-(l - 1)*(l + 1)**4/3
Let y(p) = p**3 + 5*p**2 - p. Let q(j) = -47*j + j**2 + 47*j. Let w(x) = 20*q(x) - 4*y(x). Factor w(v).
-4*v*(v - 1)*(v + 1)
Let o be 12/3 - (-2 - 128). Suppose -129*b**2 - 17 + o*b**2 - 3 = 0. Calculate b.
-2, 2
Let x be 6/(-54)*-18 - (-14)/3. Factor 16/3 - x*z + 4/3*z**2.
4*(z - 4)*(z - 1)/3
Let v = 149 + -146. Let a = -151 + 311/2. Factor -3/2*k**3 - v*k - a*k**