 437*p - 422. Let s(k) = 2*k**4 + 16*k**3 - 20*k**2 - 218*k + 212. Let y(u) = 4*d(u) + 10*s(u). What is l in y(l) = 0?
-6, 1, 3
Let w(b) = -78*b**2 + 243*b + 825. Let h(k) = -11*k**2 + 35*k + 118. Let x(i) = -27*h(i) + 4*w(i). Factor x(l).
-3*(l + 2)*(5*l - 19)
Let d(s) be the second derivative of -s**6/6 - 28*s**5 - 3920*s**4/3 - 134*s + 1. Solve d(x) = 0.
-56, 0
Let i = -112 - -114. Solve 32*h + 14*h - 14*h + 4*h**3 - 36*h**i + 0*h**3 = 0.
0, 1, 8
Suppose -3*m = 3*h - 5*h - 6, -4*m + 3*h + 7 = 0. Let b(y) = y**2 - 4*y + 4. Let n be b(4). Factor 2*d**n + 2 - 3*d**4 + 3*d**4 - m*d**2.
2*(d - 1)**2*(d + 1)**2
Solve 0*k + 5/6*k**5 + 35/6*k**2 - 35/6*k**4 + 0 - 5/6*k**3 = 0.
-1, 0, 1, 7
Let l be (1 + -5)*(-13 - (-740)/60). Solve 40/9*y**3 + 2 - 76/9*y**2 - 2/3*y**4 + l*y = 0.
-1/3, 1, 3
Let f(r) be the second derivative of 2*r**6/15 - 16*r**5/5 - 35*r**4/3 - 12*r**3 - 50*r. Find k such that f(k) = 0.
-1, 0, 18
Let b = 21 + -18. Solve -24 - 50*n**3 + 3 + b - 110*n**2 - 55*n - 23*n = 0 for n.
-1, -3/5
Let w(d) be the second derivative of d**4/12 - 41*d**3/3 - 83*d**2/2 + 388*d. Factor w(z).
(z - 83)*(z + 1)
Let d(o) = -14*o**3 + 2*o**2 + 45*o. Let r(u) = -44*u**3 + 4*u**2 + 136*u. Let m(c) = -16*d(c) + 5*r(c). Find j such that m(j) = 0.
-2, 0, 5
Suppose -129/5*j - 3/5*j**3 + 63/5 + 69/5*j**2 = 0. Calculate j.
1, 21
Let r = -6 - -36. Suppose y - 6*y + r = 0. Suppose -y*x + 6 - 15 - 3*x**2 + 3 + 3 = 0. Calculate x.
-1
Let y be 1 + 1/((-10)/6). Determine a, given that -7/5*a**2 - 11/5*a**3 + 11/5*a + 9/5*a**4 - y = 0.
-1, 2/9, 1
Solve -8 + 27*f**2 + 134*f - 9*f**4 - 6*f**3 - 134*f - 2 - 2 = 0 for f.
-2, -2/3, 1
Let f = -17 + 21. Factor -3*l**3 - 7*l**3 - 1 + l**f + 2*l + 8*l**3.
(l - 1)**3*(l + 1)
Let s(m) be the first derivative of m**4/48 + 7*m**3/12 + 49*m**2/8 - 6*m + 3. Let r(a) be the first derivative of s(a). Factor r(o).
(o + 7)**2/4
Suppose -95 - 40 = -i. Let b be 3/6*6 + i. Let -38*g - b*g**2 - 3 - 80*g**4 - 276*g**3 - 41*g**2 + 64*g**5 + 12*g**2 = 0. What is g?
-1, -1/4, 3
Let v = 9 + -7. Let r be 2/(-2)*(-4)/v. Solve 2*u**2 + 4*u - 3*u**r - 9 + 5 = 0 for u.
2
Let x = 459 - 454. Factor 0*p - 18*p**3 - 6*p**2 + 45/2*p**4 + 0 - 6*p**x.
-3*p**2*(p - 2)**2*(4*p + 1)/2
Let j(x) be the first derivative of x**4/6 + 4*x**3/3 - x**2/3 - 4*x + 298. Factor j(y).
2*(y - 1)*(y + 1)*(y + 6)/3
Let u(a) = a**3 + 7*a**2 - 7*a + 4. Let b(w) = -8*w**2 + 0*w**2 + 9*w**2. Let m(d) = 15*b(d) - 3*u(d). Factor m(l).
-3*(l - 1)**2*(l + 4)
Let p = -6 - -9. Let h(b) be the first derivative of -7/9*b**3 + 2/3*b - 1/12*b**4 - 1/6*b**2 - p + 1/3*b**5 + 1/9*b**6. Determine y so that h(y) = 0.
-2, -1, 1/2, 1
Let z be (-4)/(-54)*51 + (-16)/(-72). Factor -20*o**2 - 16*o + 6*o + 6*o**z + 7*o**3 - o**4 + 15 + 3*o**3.
5*(o - 1)**2*(o + 1)*(o + 3)
Let -3/7*a**3 + 45/7*a**2 + 51/7 + 99/7*a = 0. Calculate a.
-1, 17
Suppose -z + 0 + 2 = 0. Factor -12*i**2 + 94*i - 5 - 3*i**z - 69*i - 5*i**4 - 25*i**3 + 25*i**4.
5*(i - 1)**2*(i + 1)*(4*i - 1)
What is j in -8/3*j + 14/9*j**3 - 8/9*j**2 + 0 - 2/9*j**4 = 0?
-1, 0, 2, 6
Let w(m) be the third derivative of -m**5/240 - 7*m**4/96 + m**3/3 - 4*m**2 - 8*m. Factor w(c).
-(c - 1)*(c + 8)/4
Let b(y) = 3*y**3 + 15*y**2 + 6*y + 12. Let i(g) = g**3 + g**2 + g + 2. Let w(k) = -b(k) + 6*i(k). Factor w(r).
3*r**2*(r - 3)
Let m be 2 - (69/45 - 7/(-42)). Let u(x) be the first derivative of 3/8*x**4 - 3*x**2 - 4 + 3*x**3 - 12*x - m*x**5. What is n in u(n) = 0?
-2, -1, 2
Let n(b) be the third derivative of -b**8/84 - b**7/105 + 7*b**6/30 + 19*b**5/30 + b**4/2 - 88*b**2. Determine r so that n(r) = 0.
-2, -1, -1/2, 0, 3
Let j(s) be the third derivative of 1/4*s**6 + 5/3*s**4 + 0*s + 0*s**3 - 1/42*s**7 - 16*s**2 - s**5 + 0. Factor j(u).
-5*u*(u - 2)**3
Suppose 7 = -4*o + 15. Let j(y) be the first derivative of 0*y - 1/6*y**4 + 0*y**3 + 0*y**2 - o - 2/15*y**5. Factor j(u).
-2*u**3*(u + 1)/3
Let q(b) = b**3 - 7*b**2 + 10*b + 2. Let v be q(5). Suppose -7*c**2 - 2*c**3 + 2*c**5 + c**3 - v*c**4 + 9*c**2 - c**5 = 0. Calculate c.
-1, 0, 1, 2
Let l(y) be the first derivative of -4*y + 2/9*y**3 + 23 + 5/3*y**2. Find m such that l(m) = 0.
-6, 1
Let w(f) = 5*f**2 + 17*f - 48. Let i(n) = -56*n**2 - 188*n + 532. Let y(p) = 6*i(p) + 68*w(p). Let y(t) = 0. Calculate t.
-9, 2
Let g be (-14)/4 + (-3)/(-2). Let o be g/(-7) + (2 - (-60)/(-35)). Factor o*d**3 - 4/7*d - 4/7 + 4/7*d**2.
4*(d - 1)*(d + 1)**2/7
Determine b, given that 6 + 338*b**2 - 343*b**2 + 2 + b**3 + 2*b = 0.
-1, 2, 4
Factor 28*x + 162*x - 30*x - 9*x**2 + 36.
-(x - 18)*(9*x + 2)
Let y(r) = -17*r**2 - 8*r. Let j(l) = 4*l**2 + 2*l. Let b(i) = i**2 - 10*i + 18. Let n be b(8). Let f(a) = n*y(a) + 9*j(a). Determine q, given that f(q) = 0.
-1, 0
Let z = 238 - 235. Let c(q) be the first derivative of 0*q**2 - 2/3*q**3 + 0*q + z. Factor c(h).
-2*h**2
Let y be 1546/(-2319) + (16/6)/2. Let c be 2 - 1*4 - -2. Let 17/3*v**2 - 13*v**3 - y*v + 8/3*v**4 + c + 16/3*v**5 = 0. What is v?
-2, 0, 1/4, 1
Let q(j) = -30*j**2 - 729*j + 2310. Let s(g) = 3*g**2 + 73*g - 232. Let a(h) = 2*q(h) + 21*s(h). Factor a(l).
3*(l - 3)*(l + 28)
Let c be ((-7)/(-105)*6)/(2/10). Let k(r) be the first derivative of 2/3*r + 3 + 1/3*r**c - 4/9*r**3. Determine s so that k(s) = 0.
-1/2, 1
Let k(r) be the first derivative of 15*r + 3 + 3/4*r**4 - 3/2*r**2 - 5*r**3. Let i(q) = -q**3 + 7*q**2 + q - 7. Let l(f) = -9*i(f) - 4*k(f). Factor l(z).
-3*(z - 1)*(z + 1)**2
Let a(f) = -7*f**2 - 49*f - 54. Let y(c) = 2*c**2 - c - 1. Let l(m) = -a(m) - 6*y(m). Factor l(s).
-5*(s - 12)*(s + 1)
Suppose 10*d - 24 = 6*d. Let -5*f**3 + 20*f**3 + 784 + 3*f**5 + d*f**2 - 784 + 12*f**4 = 0. What is f?
-2, -1, 0
Solve 20/9*y**3 + 2/3*y**2 + 40/9 - 64/9*y - 2/9*y**4 = 0 for y.
-2, 1, 10
Determine h so that -12/5*h - 2/5*h**2 - 18/5 = 0.
-3
Let a(t) be the second derivative of -t**4/36 + 34*t**3/27 + 23*t**2/18 + 119*t. Suppose a(b) = 0. What is b?
-1/3, 23
Let -40*l**4 + 88/3*l**2 - 12*l**5 + 32/3 - 76/3*l**3 + 112/3*l = 0. What is l?
-2, -1, -2/3, 1
Suppose 0 = 8*p - 2*p. Let t be p/6 + (4 - -1). Factor -b - t*b + 7 + 2*b + 8*b**2 - 15 + 4*b**3.
4*(b - 1)*(b + 1)*(b + 2)
Let a(m) be the first derivative of 1/24*m**3 + 18*m + 3/2*m**2 - 8. Factor a(n).
(n + 12)**2/8
Let w(q) = -q - 20. Let l be w(-15). Let x be -2*12/8 - l. Factor 8/7*p + 2/7 - 10/7*p**x.
-2*(p - 1)*(5*p + 1)/7
Let j be 129/4*8/6. Let -15*s + 700 + j*s + 200 + 4*s**2 + 92*s = 0. What is s?
-15
Suppose -6 = 3*x, 2*v - 4*x - 10 = 4. Let w be (-97)/(-9) + (-10)/(-45). Find y, given that v*y - 5*y + 6*y + 12*y**2 + 4 - w*y**2 = 0.
-2
Let a(t) be the third derivative of -1/30*t**5 - 4/9*t**3 - 14*t**2 - 1/360*t**6 + 0*t + 0 - 1/6*t**4. Factor a(l).
-(l + 2)**3/3
Let h be 2*36/588*(-84)/(-18). Factor h*t**2 + 0 - 24/7*t + 4/7*t**3.
4*t*(t - 2)*(t + 3)/7
Let t(v) be the third derivative of -v**6/96 - v**5/16 + 5*v**4/96 + 5*v**3/8 - 206*v**2. Factor t(r).
-5*(r - 1)*(r + 1)*(r + 3)/4
Let i be (-113)/(-816) + (-6)/51. Let c(m) be the third derivative of 0 + i*m**4 - 1/48*m**5 + 0*m - 1/840*m**7 + 0*m**3 + 5*m**2 + 1/120*m**6. Factor c(g).
-g*(g - 2)*(g - 1)**2/4
Let d(w) = -w**2 - 11*w + 29. Let f be d(-13). Factor -20*b**2 + 18*b**3 - 15*b**3 - 15*b - 8*b**f.
-5*b*(b + 1)*(b + 3)
Let x(q) be the second derivative of -q**8/1008 + q**6/180 - q**4/72 + 19*q**2/2 - 11*q. Let t(u) be the first derivative of x(u). Find p such that t(p) = 0.
-1, 0, 1
Factor -2/3*b**2 + 0 + 52/3*b.
-2*b*(b - 26)/3
Let z(g) be the third derivative of 0 + 0*g**3 + 1/180*g**5 + 0*g - 1/240*g**6 - 2*g**2 + 1/1260*g**7 + 0*g**4. Factor z(j).
j**2*(j - 2)*(j - 1)/6
Suppose -12*f + 14*f - 4 = 0. Factor 47*m + m**f + 0*m**2 - 39*m - 8 - 3*m**2.
-2*(m - 2)**2
Let q be (-1)/4*(198 - 199). Factor q*x**3 + 1/2 - 1/2*x**2 - 1/4*x.
(x - 2)*(x - 1)*(x + 1)/4
Factor 5 - 346*y**3 + 3*y + 2*y - 5*y**2 + 341*y**3.
-5*(y - 1)*(y + 1)**2
Let x = -1700 + 127502/75. Let u(y) be the second derivative of 1/30*y**4 + x*y**6 - 3/50*y**5 + 0 + 0*y**2 + 8*y + 0*y**3. Suppose u(a) = 0. What is a?
0, 1/2, 1
Let o be (2/(-21))/(2/(-69)) - 3. Suppose o*y**3 + 2/7*y**2 - 2/7 - 2/7*y = 0. What is y?
-1, 1
Let z(w) be the first derivative of w**3/9 - 11*w**2/3 - 23*w/3 - 181. Let z(k) = 0. What is k?
-1, 23
Let z(t) be the first derivative of -4 + 0*t + 0*t**2 + 1/26*t*