 j**4 + b*j**5 + 59*j**4 + 74*j**3.
2*j*(j + 1)**2*(3*j + 2)**2
Let w = 21 - 18. Let q(m) be the first derivative of 0*m**2 - 3 - 1/16*m**4 + 0*m + 0*m**w - 1/20*m**5. Find d, given that q(d) = 0.
-1, 0
Let u(n) = 10*n**3 + 3*n**2 - 4*n - 2. Let s(v) = 11*v**3 + 2*v**2 - 5*v - 2. Let b(f) = 5*s(f) - 6*u(f). Determine c, given that b(c) = 0.
-1, 2/5
Solve 1/5 + 2/5*p**2 - 3/5*p = 0.
1/2, 1
Let f = 46 - 43. Suppose 2*b = 5*b. Factor 1/3*s**f - 1/3*s**2 - 2/3*s + b.
s*(s - 2)*(s + 1)/3
Let k(x) be the second derivative of 1/45*x**5 + 0 - 1/9*x**4 + 1/63*x**7 - x + 7/135*x**6 - 1/9*x**2 - 5/27*x**3. Determine g so that k(g) = 0.
-1, -1/3, 1
Let q = -5/23 - -38/69. Let j(t) be the third derivative of 0*t + 1/210*t**7 + 5/24*t**4 + 0 - t**2 - 1/20*t**5 - 1/120*t**6 - q*t**3. Factor j(c).
(c - 1)**3*(c + 2)
Let j(f) be the first derivative of -f**5/15 - f**4/12 + 2*f**3/9 - 1. Suppose j(i) = 0. What is i?
-2, 0, 1
Find p, given that 3/2*p + 9/4 + 1/4*p**2 = 0.
-3
Let v = -1 - 1. Let z be (v/3)/((-30)/135). Factor 0 - 3/2*x + 3/2*x**2 - 3/2*x**4 + 3/2*x**z.
-3*x*(x - 1)**2*(x + 1)/2
Let b(p) = p - 8. Let a be b(10). Suppose 0 = h, 12 = 5*l + a*h + 2. Let 2*d + 15*d**3 - 8*d**l - 2 - 16*d**2 + 8 + d = 0. What is d?
-2/5, 1
Let o = -7 - -7. Let b(x) = x**3 - x + 2. Let k be b(0). Let o + 0*f - 2/5*f**k = 0. Calculate f.
0
Let r(o) be the third derivative of o**8/1680 - o**7/525 + o**5/150 - o**4/120 - 9*o**2 + 2. Solve r(j) = 0.
-1, 0, 1
Suppose 0 = 2*k - 3*y + 4, -6 = 4*k + 5*y - 42. Let b(d) be the second derivative of -3*d + 1/12*d**3 + 0 + 1/6*d**2 - 1/40*d**5 - 1/36*d**k. Factor b(z).
-(z - 1)*(z + 1)*(3*z + 2)/6
Let y = -3 - -7. Factor 0*s**5 - 4*s + s**2 - 2*s**y + 5*s - s**5 + s**2.
-s*(s - 1)*(s + 1)**3
Factor -24*d**2 - 35*d - 69*d - 4 + 76*d.
-4*(d + 1)*(6*d + 1)
Solve 0 + 3/2*l**3 - 1/2*l**4 + 1/2*l**2 - l - 1/2*l**5 = 0 for l.
-2, -1, 0, 1
Suppose -3*i = -8 - 7. Let u be ((-1)/2)/(i/(-80)). Factor -2*p**5 - 11*p**3 - 2*p - 8*p**4 + 10*p**3 - 11*p**3 - u*p**2.
-2*p*(p + 1)**4
Factor 2/7*t**2 + 2/7*t**3 - 2/7 - 2/7*t.
2*(t - 1)*(t + 1)**2/7
Let c(d) be the third derivative of -d**7/210 + d**5/30 - d**3/6 - 2*d**2. Factor c(o).
-(o - 1)**2*(o + 1)**2
Let s(o) be the first derivative of 2*o**3/33 - 3*o**2/11 + 4*o/11 - 6. Find n such that s(n) = 0.
1, 2
Let c(g) = -2*g**3 + 9*g**2 + 2*g - 4. Let i(b) = 6*b**2 + b - 2*b**2 - 5*b**3 - 2 + 4*b**3. Let t(m) = -2*c(m) + 5*i(m). What is j in t(j) = 0?
-1, 1, 2
Let k = 487/92 - 70/23. Find a such that -a**2 - 1/2 - k*a = 0.
-2, -1/4
Let j(k) = -k**2 - 6*k - 9. Let w(r) = 6*r + 5*r + r + 18 + 2*r**2 + 0*r. Let g(x) = -9*j(x) - 4*w(x). Factor g(n).
(n + 3)**2
Find f such that -5*f - 20 + 8*f**2 + 41*f + 0*f**2 = 0.
-5, 1/2
Let g(x) be the second derivative of x**7/2520 - x**6/300 + x**5/150 + x**4/6 + x. Let q(j) be the third derivative of g(j). Factor q(f).
(f - 2)*(5*f - 2)/5
Suppose 4*g - 12 = 0, -4*b - 3*g = -17 - 0. Let l(s) = 2*s - 2. Let h be l(3). Factor 0 + 6*z**h - 8/3*z + b*z**3 - 16/3*z**2.
2*z*(z - 1)*(3*z + 2)**2/3
Let s = 100 + -98. Let d(i) be the first derivative of 1/12*i**4 + 5/6*i**s + 2/3*i + 4/9*i**3 - 4. Factor d(u).
(u + 1)**2*(u + 2)/3
Let o(c) = 3*c**3 + c**2 - c. Let f be o(1). Let 0 + 2 + p + p**5 + 4*p**4 + 6*p**f - 2 + 4*p**2 = 0. What is p?
-1, 0
Let n(j) be the third derivative of -2*j**7/105 - 7*j**6/30 - 6*j**5/5 - 10*j**4/3 - 16*j**3/3 - 4*j**2. Factor n(y).
-4*(y + 1)*(y + 2)**3
Suppose 14*o - 15 = 11*o. Factor 0*i**3 + 2/5*i**2 + 0 + 1/5*i - 1/5*i**o - 2/5*i**4.
-i*(i - 1)*(i + 1)**3/5
Let r(f) = 11*f**4 + 7*f**3 + 6*f**2 + 5*f. Let t(g) = -5*g**4 - 4*g**3 - 3*g**2 - 2*g. Let s(o) = -2*r(o) - 5*t(o). Find b such that s(b) = 0.
-1, 0
Let m = -85 + 57. Let g be 108/35 - (-8)/m. Let -46/5*p**4 - 54/5*p**3 - g*p**5 - 4/5*p + 0 - 26/5*p**2 = 0. Calculate p.
-1, -2/7, 0
Factor 2*s**2 - 8*s + 12 - 24 + 2*s**2.
4*(s - 3)*(s + 1)
Let y(b) = 4*b + 27. Let i be y(-6). Find l, given that 2/9 - 8/9*l**5 - 2*l**4 + 16/9*l**2 + 4/3*l - 4/9*l**i = 0.
-1, -1/4, 1
Factor 2/3*d**3 + 16*d + 6*d**2 + 32/3.
2*(d + 1)*(d + 4)**2/3
Determine y, given that 5/3*y**2 + 4/3*y + 0 + 1/3*y**3 = 0.
-4, -1, 0
Let w(i) be the second derivative of -i**6/20 + 17*i**5/40 - 7*i**4/8 - 3*i**3/4 - 11*i. Solve w(h) = 0 for h.
-1/3, 0, 3
Let f(j) = j**3 - 6*j**2 - 18*j + 18. Let k be f(8). Factor 5/2*g + 1/2*g**3 - k*g**2 - 1.
(g - 2)*(g - 1)**2/2
Suppose 33*t - 5*t = 0. Factor -4/5*o**3 + 2/5*o**4 + 2/5*o**5 + t*o**2 + 0*o + 0.
2*o**3*(o - 1)*(o + 2)/5
Let j(i) be the third derivative of -i**6/600 - i**5/100 - i**4/60 - 6*i**2. Factor j(x).
-x*(x + 1)*(x + 2)/5
Factor -18*s**3 + 11*s**3 + s**2 - s + 8*s**3 - 1.
(s - 1)*(s + 1)**2
Let n(z) be the first derivative of -3*z**5/20 + z**4/16 + z**3/6 - 21. Factor n(q).
-q**2*(q - 1)*(3*q + 2)/4
Factor 2*d + 4*d - 18*d**2 + 20*d**2.
2*d*(d + 3)
Suppose f + 38 = -6. Let z = f + 74. Let 4*r**3 + 4*r - 18*r**2 + z*r**4 + 5*r**3 - r**3 = 0. Calculate r.
-1, 0, 1/3, 2/5
Let c(v) be the third derivative of v**7/7 - 31*v**6/60 + 2*v**5/3 - v**4/3 + 14*v**2. Solve c(g) = 0 for g.
0, 2/5, 2/3, 1
Suppose -3*p = 4*k - 0*p - 5, 5*k = -5*p + 5. Factor -3*a**k + 0*a**2 + 7*a - a.
-3*a*(a - 2)
Suppose t + 0 - 5 = 0. Find f such that -f**2 - 2*f**4 + t*f**5 + 3*f**4 - 4*f**5 - f**3 = 0.
-1, 0, 1
Let -17/4*l**3 - 3/2*l**4 + 3/4*l + 0 + l**2 = 0. What is l?
-3, -1/3, 0, 1/2
Determine d, given that -6/5 - 9/5*d - 3/5*d**2 = 0.
-2, -1
Let r(t) be the second derivative of -1/6*t**4 - 1/12*t**5 + 2*t + 4/3*t**2 + 2/9*t**3 + 0 - 1/90*t**6. Factor r(i).
-(i - 1)*(i + 2)**3/3
Suppose 0 = 2*p - 7 + 3. Suppose 5*i + 13 = 2*b + p*i, 4*b = 4*i + 20. Factor -3/5*t**4 + 9/5*t**3 + 0*t + 0 - 6/5*t**b.
-3*t**2*(t - 2)*(t - 1)/5
Determine v, given that 8/3 - 8/3*v + 2/3*v**2 = 0.
2
Let i(x) be the first derivative of x**5/10 + x**4/8 - x**3/2 - x**2/4 + x - 70. Determine s, given that i(s) = 0.
-2, -1, 1
Let a(s) be the second derivative of s**4/16 + s**3/4 + 3*s**2/8 - 25*s. Determine n, given that a(n) = 0.
-1
Let m(t) = -2*t**3 + 2*t**2 - t + 1. Let c(i) = -i**3 + i**2 - i + 1. Let g(x) = -3*c(x) + 2*m(x). Let g(k) = 0. What is k?
-1, 1
Find n such that 0*n + 0 - 2/9*n**2 = 0.
0
Factor 4/3*c**4 + 2/3*c**3 + 0*c + 0*c**2 + 2/3*c**5 + 0.
2*c**3*(c + 1)**2/3
Let l(q) be the second derivative of -1/10*q**6 + 3*q - 7/24*q**3 + 7/80*q**5 + 1/8*q**2 + 11/48*q**4 + 0. Determine d, given that l(d) = 0.
-1, 1/4, 1/3, 1
Let q(j) be the third derivative of -j**7/21 - j**6/20 + 7*j**5/30 + j**4/4 - 2*j**3/3 + j**2. Let q(r) = 0. Calculate r.
-1, 2/5, 1
Suppose -12*g**2 - 10*g**4 + 1/2*g - 3/2*g**5 - 19*g**3 + 2 = 0. What is g?
-4, -1, 1/3
Suppose -50*o = -26*o. Factor c + o + 1/2*c**2.
c*(c + 2)/2
Let w be ((-14)/10)/((-1)/5). Factor w - 2*a**4 + 6*a - 2*a**2 - 9*a**3 + 3*a**3 - 3.
-2*(a - 1)*(a + 1)**2*(a + 2)
Let b(p) be the second derivative of 0*p**2 + 1/27*p**3 - p - 1/45*p**5 + 0*p**4 + 0*p**6 + 1/189*p**7 + 0. Factor b(x).
2*x*(x - 1)**2*(x + 1)**2/9
Let j(f) be the third derivative of f**8/336 - 2*f**7/105 + f**6/20 - f**5/15 + f**4/24 - 3*f**2. Factor j(x).
x*(x - 1)**4
Suppose 28 - 15 + 3*u + 4*u**2 - 9 + 5*u = 0. What is u?
-1
Let v(x) = -15*x**4 + 15*x**2. Let a(f) = 5*f**4 - 5*f**2. Let j(y) = 7*a(y) + 2*v(y). Determine z, given that j(z) = 0.
-1, 0, 1
Let x(u) = 11*u**3 + 5*u**2 - 11*u + 5. Let o = -3 - 2. Let c(j) = 39*j**3 + 18*j**2 - 39*j + 18. Let t(k) = o*c(k) + 18*x(k). Factor t(v).
3*v*(v - 1)*(v + 1)
Let u(b) be the first derivative of b**4/12 + 2*b**3/9 + 18. Factor u(g).
g**2*(g + 2)/3
Let n(b) be the first derivative of b**6/14 + 12*b**5/35 + 3*b**4/7 - 2*b**3/7 - 15*b**2/14 - 6*b/7 - 7. Let n(o) = 0. What is o?
-2, -1, 1
Suppose -3*u - p + 9 = 0, 5*u - 2*p + 3 = 6*u. Factor 3/2*l - 1/2 - 3/2*l**2 + 1/2*l**u.
(l - 1)**3/2
Let 6*c**3 - 5 + 2*c**2 - 11*c + c**3 - 8*c**3 - 9*c**2 = 0. What is c?
-5, -1
Let v(x) be the third derivative of x**5/15 + x**4/2 - x**2. Suppose v(z) = 0. Calculate z.
-3, 0
Let p(z) be the first derivative of -1 - 2*z**2 + 0*z - 2/3*z**3. Factor p(s).
-2*s*(s + 2)
Let c(n) be the second derivative of n**6/135 - n**4/18 - 2*n**3/27 + 9*n. Find m, given that c(m) = 0.
-1, 0, 2
Let i(q) be the third derivative of 0*q - 3/8*q**3 + 3/20*q**5 + 0 - 5/32*q**4 - 