1/6*j**2 + 2/3*j + 0.
-j*(j - 4)/6
Let y = 66 + -61. Factor 2*p**2 - 5*p**2 + 4*p**4 + y*p**4 + 3*p**5 - 6*p**4 - 3*p**3.
3*p**2*(p - 1)*(p + 1)**2
Let v be 298 + (-8)/52 + 28/13. Let a = v + -298. Factor 2/7*r**3 + 0 - 1/7*r**4 - 1/7*r**a + 0*r.
-r**2*(r - 1)**2/7
Let l be 1*-1 + -1 + 1. Let s = l - -8. Factor 11*r**3 + 2*r**2 + 0*r**2 + s*r**4 - 20*r**3.
r**2*(r - 1)*(7*r - 2)
Find p such that -1/8*p**5 + 7/8*p**4 + 0 + 0*p**2 - 5/4*p**3 + 0*p = 0.
0, 2, 5
Let l(s) be the third derivative of s**9/22680 - s**8/6048 + s**7/7560 + 11*s**5/60 + 2*s**2. Let k(u) be the third derivative of l(u). Solve k(i) = 0.
0, 1/4, 1
Let j(p) = p**3 - 5*p**2 + 4*p. Let u be j(4). Suppose u*n = -2*n + 6. Let 0*t**2 + 2*t**n + 0*t**3 - t**2 - t**4 = 0. What is t?
0, 1
Let h(a) be the third derivative of a**7/5040 + a**6/720 + a**5/360 + a**3/3 + 25*a**2. Let i(r) be the first derivative of h(r). Factor i(o).
o*(o + 1)*(o + 2)/6
Let 5 - 3*i + 1/4*i**2 = 0. What is i?
2, 10
Let r(w) = -2*w**2 - 15*w - 1. Let d(t) = t**2 + 16*t. Let p(f) = -3*d(f) - 4*r(f). Find x, given that p(x) = 0.
-2, -2/5
Suppose -5*k - 4 = -z, -3*k - 2*k - 8 = -2*z. Let s be 11/(-33) + (-4)/((-120)/25). Determine m so that -3/2*m**2 + m + s*m**3 + k = 0.
0, 1, 2
Let i(a) be the first derivative of 2*a**3/33 + 2*a**2/11 - 6*a/11 + 114. Find s such that i(s) = 0.
-3, 1
Find b, given that 90 - 28 - 34 - 15*b - 31 - 12*b**2 = 0.
-1, -1/4
Let n(x) be the second derivative of x**7/5880 - x**6/840 - 3*x**5/280 + x**4/3 + 14*x. Let r(j) be the third derivative of n(j). Factor r(c).
3*(c - 3)*(c + 1)/7
Let w(i) be the second derivative of 1/10*i**5 - 12*i + 0 - 5/6*i**4 + 0*i**2 + 2/15*i**6 + 2/3*i**3. Factor w(m).
2*m*(m - 1)*(m + 2)*(2*m - 1)
Suppose 102 + 24 = 9*m. Determine j so that m*j**3 + 29*j + 6*j**2 - 24*j + 4 - 19*j - 10*j**4 = 0.
-1, 2/5, 1
Let m = 41/288 + -1/32. Let f(g) be the first derivative of -1 + 1/8*g**4 + 0*g + m*g**3 + 0*g**2 + 1/30*g**5. Find p such that f(p) = 0.
-2, -1, 0
Let b(l) be the first derivative of 25/2*l**2 + 14 - 5/3*l**3 - 15*l - 5/4*l**4. Determine k, given that b(k) = 0.
-3, 1
Let z(a) be the second derivative of -a**7/1680 + a**5/80 + a**4/24 + 31*a**3/6 - 27*a. Let y(w) be the second derivative of z(w). Solve y(f) = 0.
-1, 2
Let a be (-176)/5 - (-1 + -3)/20. Let z be (-14)/a + 8/30. Solve -10/9*u + 2/9*u**3 + 4/9 - 2/9*u**4 + z*u**2 = 0 for u.
-2, 1
Let x(i) = -5*i**2 - 26*i + 4. Let t(h) = -14*h**2 - 79*h + 11. Let v(a) = -4*t(a) + 11*x(a). Solve v(s) = 0.
-30, 0
Let f(m) be the second derivative of m**4/54 + 14*m**3/27 + 13*m**2/9 + 6*m + 2. Find y such that f(y) = 0.
-13, -1
Let s(x) be the first derivative of 9*x**2/2 - 6*x + 48. Let n be s(1). Factor 2/5 - 1/5*m**n + 1/5*m + 1/5*m**4 - 3/5*m**2.
(m - 2)*(m - 1)*(m + 1)**2/5
Factor -2/11*l**2 - 24/11 - 14/11*l.
-2*(l + 3)*(l + 4)/11
Let p(t) be the first derivative of t**4/12 + 80*t**3/9 + 233*t**2/6 + 154*t/3 - 794. Solve p(l) = 0 for l.
-77, -2, -1
Let x(o) be the second derivative of o**5/20 - 17*o**4/12 + 8*o**3/3 + o**2 - 27*o. Let y be x(16). Factor -2*s + 1/2 + 7/8*s**3 + 5/8*s**y.
(s - 1)*(s + 2)*(7*s - 2)/8
Let z(n) = -n**5 - n**4 - n**3 + 1. Let d(f) = -2*f**5 + 30*f**4 - 42*f**3 + 20*f**2 - 2. Let m(g) = d(g) + 2*z(g). Suppose m(j) = 0. Calculate j.
0, 1, 5
Let r(a) be the second derivative of -15*a**6/8 - a**5/2 + 11*a**4/48 + a**3/12 + 743*a. What is k in r(k) = 0?
-1/5, 0, 2/9
Factor 16*l + 6*l**2 + 3*l**4 + 2*l + 4*l**4 - 5*l**4 + 14360*l**3 - 14370*l**3.
2*l*(l - 3)**2*(l + 1)
Let n = -9 + 16. Let g be (2/(-5))/(n/(-105)). What is b in 3*b - 2 - 2 - g*b**2 + 5*b**2 + 2 = 0?
1, 2
Solve -3/4*k**2 + 1/4*k**4 - 1/2 + 5/4*k - 1/4*k**3 = 0.
-2, 1
Factor 12/7 - 1/7*j**3 - 1/7*j**2 + 8/7*j.
-(j - 3)*(j + 2)**2/7
Let m = 23/129 + -1577/11739. Let u = 103/273 - m. Factor -1/2*h**3 + 1/3*h**2 + 1/2*h - u.
-(h - 1)*(h + 1)*(3*h - 2)/6
Let q be (-2505)/(-20) - (-3)/4. Let m be (256/q)/4 - 6/21. Factor 0*j - m*j**5 + 0 + 2/9*j**3 - 2/9*j**2 + 2/9*j**4.
-2*j**2*(j - 1)**2*(j + 1)/9
Let o(u) be the first derivative of -4*u**3/3 + 72*u**2 - 1296*u + 156. Solve o(v) = 0 for v.
18
Let j(q) be the first derivative of q**6/15 - 6*q**5/25 + q**4/5 - 605. Factor j(k).
2*k**3*(k - 2)*(k - 1)/5
Let n(d) be the second derivative of -d**7/5460 + d**6/585 - d**5/156 + d**4/78 - 25*d**3/6 - 5*d. Let f(o) be the second derivative of n(o). Factor f(v).
-2*(v - 2)*(v - 1)**2/13
Let p = -4 - -4. Suppose -3*r = -p*r - 6. Let -3*m**2 + 3*m + m**2 - r*m + 3*m = 0. What is m?
0, 2
Let p(n) = -29*n**2 - 952*n + 56644. Let k(h) = 16*h**2 + 476*h - 28322. Let z(y) = 11*k(y) + 6*p(y). Let z(c) = 0. What is c?
119
Suppose 40 = 5*i + 4*z, -3*i - 2*z + 22 = -0*i. Suppose 5*u - 35 = 5*s - 0*s, 5*u - 4*s - 31 = 0. Factor -o**i - 2*o**2 + 0*o**2 - 2*o**3 + 2*o**4 + o**u.
o**2*(o - 2)*(o + 1)
Let y be ((-123)/(-6) - 3)/((495/(-22))/(-15)). Determine a so that -35/6*a - 25/3 + y*a**2 + 5/2*a**3 = 0.
-5, -2/3, 1
Let o(x) = x**3 + 7*x**2 - 8*x - 3. Let i be o(-8). Let l be (-8)/i*24/16. Factor -176*f + l*f**2 + 188*f + 0*f**2.
4*f*(f + 3)
Solve 3/8*j + 21/8*j**2 - 3*j**3 + 0 = 0.
-1/8, 0, 1
What is q in -13*q**2 + 2 + 188*q**3 - 191*q**3 + 6 - 2*q = 0?
-4, -1, 2/3
Let s = -109867/1705 + 13/341. Let b = -64 - s. Find j, given that -2/5*j**4 + 2/5*j**5 + 0 + b*j**2 + 0*j - 2/5*j**3 = 0.
-1, 0, 1
Let a be 16/21 + 1/(-3). Suppose -35*b = -56 - 49. Let -15/7*n - 6/7*n**2 + a*n**5 + 12/7*n**b + 12/7*n**4 - 6/7 = 0. What is n?
-2, -1, 1
Let x(u) be the first derivative of -2/21*u**3 + 9 - 1/210*u**5 - 3/2*u**2 + 0*u - 1/28*u**4. Let o(h) be the second derivative of x(h). Factor o(d).
-2*(d + 1)*(d + 2)/7
Suppose -3*s - 38 = -4*j - 117, -5*j = -4*s + 100. Let w be (2/(-4))/(4/j). Let -n - n**2 - 2 - 5*n**w + 7*n**2 = 0. Calculate n.
-1, 2
Let x(t) = 2*t**4 + t. Let g(a) = -3*a**4 + 309*a**3 + 456*a**2 + 138*a. Let w(y) = -g(y) + 6*x(y). Factor w(h).
3*h*(h - 22)*(h + 1)*(5*h + 2)
Let b(x) = -7*x**2 + 8*x - 9. Let t(g) = 2*g**2 - g + 1. Let d(j) = -2*b(j) - 6*t(j). Determine c, given that d(c) = 0.
2, 3
Let p = 0 + 3. Let i = 381 + -378. Factor a**p - 14*a**2 + 2*a**i + 8*a**2.
3*a**2*(a - 2)
Let s be (-34)/119 + (18/14 - 2). Let f be ((-1 - s) + 0)/(-6). Find u, given that 0*u - 3/5*u**4 + f*u**2 + 0 + 3/5*u**5 + 0*u**3 = 0.
0, 1
Find k such that -32*k - 4/7*k**2 - 448 = 0.
-28
Let g be 34/12 + -3 + 5/30. Let k(h) be the second derivative of 0*h**2 + g*h**3 + 3/55*h**5 - 3*h + 0 + 1/66*h**4. Let k(l) = 0. Calculate l.
-1/6, 0
Let j(s) be the third derivative of 2*s**7/105 + 17*s**6/150 + 2*s**5/25 - 9*s**2 - 2*s. Let j(n) = 0. Calculate n.
-3, -2/5, 0
Let s(d) = -2*d - 16. Let j be s(-22). Suppose -23*v**2 - 49*v**2 + 3*v**4 - 7*v**4 - 32 + j*v**3 + 128*v - 48*v = 0. Calculate v.
1, 2
Solve -855*g + 244*g - 25*g + 8427*g**2 + 12 = 0.
2/53
Let i(k) be the first derivative of 5*k**4/4 - 10*k**3 + 55*k**2/2 - 30*k - 26. Suppose i(b) = 0. What is b?
1, 2, 3
Let f(c) = -2*c**2 - c - 1. Let q(b) = -12*b**3 + 192*b**2 + 140*b - 80. Let g(i) = 8*f(i) - q(i). Let g(h) = 0. Calculate h.
-1, 1/3, 18
Let q(c) = 5*c**2 + 10*c - 15. Let b(p) = -4*p**2 + 9*p - 5. Let k(t) = t**2 - t. Let z(n) = -b(n) - 6*k(n). Let m(l) = -3*q(l) - 10*z(l). Factor m(v).
5*(v - 1)*(v + 1)
Let s(f) = f**2 + 3*f - 2. Let u be s(-3). Let t(h) = 3*h**2 + 5*h + 1. Let o be t(u). Factor -o*j - 3*j**2 + 6*j + 6*j - 3*j.
-3*j*(j - 2)
Let n(r) = -4*r**2 + 139*r - 325. Let c(h) = -h**2 + 47*h - 108. Let f(w) = -14*c(w) + 4*n(w). Suppose f(p) = 0. Calculate p.
-53, 2
Let t(x) be the second derivative of -3/2*x**2 + 0 + 7*x - 1/12*x**4 - 1/3*x**3 - 1/120*x**5. Let b(w) be the first derivative of t(w). Factor b(q).
-(q + 2)**2/2
Let h(l) be the first derivative of -5*l**3/3 - 655*l**2/2 + 660*l - 552. Find w, given that h(w) = 0.
-132, 1
Let o be (-2)/(-4)*(-1)/((-2)/60). Factor -3*u**4 - 2*u**4 + 12 - 2 - 5*u**2 - o*u + 0*u**3 + 15*u**3.
-5*(u - 2)*(u - 1)**2*(u + 1)
Let w(t) be the first derivative of 2*t**3/3 + 119*t**2/4 - 15*t + 68. Factor w(f).
(f + 30)*(4*f - 1)/2
Let d = -74 - -68. Let b be (-6)/(-22)*(128/d)/(-8). Factor -8/11*k + 2/11 + 2/11*k**4 - b*k**3 + 12/11*k**2.
2*(k - 1)**4/11
Let z(k) = -5*k**2 + 2*k + 11. Let v(l) = 2*l**2 - l - 4. Let u(s) = -8*v(s) - 3*z(s). Factor 