*2/44*-2*0. Factor -13/3*n**3 + 16/3*n**2 + 64*n + q + 1/3*n**4.
n*(n - 8)**2*(n + 3)/3
Let c(p) be the second derivative of 1/21*p**7 - 3349/3*p**4 + 97*p**5 - 53/15*p**6 - 82*p - 4913*p**2 + 10693/3*p**3 + 0. Solve c(x) = 0.
1, 17
Let v(d) be the first derivative of 2*d**3/33 + 1425*d**2/11 - 2852*d/11 - 2088. Let v(a) = 0. What is a?
-1426, 1
Solve -274/19*s + 280/19*s**3 - 6/19*s**5 - 100/19*s**2 + 156/19 - 56/19*s**4 = 0 for s.
-13, -1, 2/3, 1, 3
Let q(x) = x**4 - 2*x**3 - x**2 + 4*x + 1. Let y(f) = -2*f**4 + 92*f**3 + 452*f**2 + 120*f - 5. Let z(n) = 5*q(n) + y(n). Factor z(h).
h*(h + 7)*(h + 20)*(3*h + 1)
Suppose -1698*t + 199*t = -129*t. Determine p, given that 2/3*p**4 - 1/3*p**5 + 0*p**2 + 0*p + 0*p**3 + t = 0.
0, 2
Let o = 13 + 17. Factor -4*r**5 + 0*r + 6*r**3 - o*r**3 - 28*r**4 + 0*r.
-4*r**3*(r + 1)*(r + 6)
Let j(i) be the first derivative of -i**6/30 - i**5/10 - i**4/12 - 8*i - 31. Let l(o) be the first derivative of j(o). Factor l(a).
-a**2*(a + 1)**2
Suppose -27*q**3 - 1/3*q**5 + 0 + 7*q**4 - 229/3*q**2 - 42*q = 0. Calculate q.
-1, 0, 9, 14
Let z(g) = 2*g**2 - 532*g - 537. Let l(d) = -d**2 + 531*d + 536. Let r(p) = -3*l(p) - 4*z(p). Factor r(f).
-5*(f - 108)*(f + 1)
Let a(o) = -9*o**4 - 33*o**3 + 87*o**2 - 51*o + 3. Let t(c) = 2*c**4 - 2*c**3 + 2*c - 1. Let x(j) = a(j) + 3*t(j). Suppose x(i) = 0. What is i?
-15, 0, 1
Suppose 0 = 5*p - 13 - 32. What is g in 22 - 27 - p*g - 49 + 3*g**2 = 0?
-3, 6
Let z be 3/(-2)*-10*(-6)/(-405)*6. Let k = 174 + -172. Suppose 2/3*w**k + 2*w + z = 0. What is w?
-2, -1
Let p(h) be the second derivative of 285*h - 3/20*h**4 + 0*h**3 + 0 + 0*h**2 + 19/50*h**6 + 3/20*h**5 + 11/70*h**7. Suppose p(q) = 0. What is q?
-1, 0, 3/11
Let y(l) be the second derivative of 60 - 2/3*l**3 + 1/2*l**5 + 1/2*l**4 + 0*l**2 + l. Let y(q) = 0. What is q?
-1, 0, 2/5
Let k(m) be the second derivative of -m**7/56 + 53*m**6/40 - 459*m**5/80 + 151*m**4/16 - 25*m**3/4 + 819*m. Determine u so that k(u) = 0.
0, 1, 50
Suppose 6 = -6*z + 18. Suppose -1873*a**2 + 6*a**3 + 2*a**4 + 1879*a**2 + z*a**3 = 0. Calculate a.
-3, -1, 0
Let i(v) be the first derivative of 0*v + 8/3*v**3 + 0*v**2 + 1/2*v**4 + 3/40*v**5 - 1/120*v**6 + 8. Let u(j) be the third derivative of i(j). Factor u(l).
-3*(l - 4)*(l + 1)
Suppose c + 47*c = -6*c + 108. Let n(f) be the third derivative of 0 + 20*f**c + 0*f + 1/720*f**5 + 2/9*f**3 - 1/36*f**4. Factor n(l).
(l - 4)**2/12
Let l(b) be the third derivative of -3*b**5/50 - 403*b**4/6 + 896*b**3/15 + 2731*b**2. Factor l(s).
-2*(s + 448)*(9*s - 2)/5
Let a(z) = 13*z**5 + 159*z**4 + 104*z**3 - 6*z**2 - 18. Let y(v) = -14*v**5 - 158*v**4 - 104*v**3 + 8*v**2 + 16. Let k(q) = 8*a(q) + 9*y(q). Solve k(t) = 0.
-6, -1, 0, 2/11
Let h(i) be the second derivative of i**4/48 + 41*i**3/12 - 21*i**2 - 1867*i. Find m, given that h(m) = 0.
-84, 2
Let q(s) = s**4 - 45*s**3 + 14*s**2 + 11*s + 7. Let j(p) = -2*p**4 + 85*p**3 - 27*p**2 - 23*p - 13. Let h(x) = 7*j(x) + 13*q(x). Suppose h(k) = 0. Calculate k.
-1, 0, 2, 9
Let w(k) be the third derivative of -1/3*k**3 - 1/60*k**5 - 2*k**2 + 8 + 0*k + 1/8*k**4. Solve w(j) = 0 for j.
1, 2
Determine f so that 438/17*f - 2/17*f**2 - 1296/17 = 0.
3, 216
Suppose -13*f = -5*a - 14*f + 15, 5*a - 25 = -3*f. Let d(v) be the first derivative of 0*v**a - 1/15*v**3 + 4/5*v - 32. Factor d(k).
-(k - 2)*(k + 2)/5
Let o(x) = -2*x**2 - 1192*x + 7227. Let l be o(6). Determine y so that 2*y**2 + 0*y + 0 - 4/3*y**l - 2/3*y**4 = 0.
-3, 0, 1
Let f(q) be the second derivative of 0*q**2 - 44*q - 1/15*q**3 + 1/300*q**6 + 0 - 1/30*q**4 + 1/200*q**5. Factor f(j).
j*(j - 2)*(j + 1)*(j + 2)/10
Let o(b) be the first derivative of b**8/224 + b**7/180 - b**6/360 + 165*b**2/2 - 80. Let c(s) be the second derivative of o(s). What is a in c(a) = 0?
-1, 0, 2/9
Suppose -7*k = 8 - 211. Let s = 29 - k. What is p in -6*p - 10*p**3 - 9*p**2 + s*p + 7*p**3 = 0?
-2, -1, 0
Let f be ((-10)/(-30) + 40/(-3))/(-1). Suppose -f*v + 11 + 28 = 0. Factor 0 + 0*x + 2/3*x**v + 2/3*x**2.
2*x**2*(x + 1)/3
Let i be (-46)/138*(1 - 15/9). Let -268/9*r - 10 + i*r**4 - 88/3*r**2 - 28/3*r**3 = 0. Calculate r.
-1, 45
Let h(y) = -10*y - 8. Let g be h(-1). Suppose -16*c + 3*c**5 + 3*c**4 - 11*c**4 + 15*c**3 - 2*c**5 + 637*c**2 - 316*c**2 - 313*c**g = 0. Calculate c.
-1, 0, 1, 4
Let v(n) be the first derivative of -n**6/60 + n**4/4 + 2*n**3/3 - 3*n**2/2 + n - 36. Let u(i) be the second derivative of v(i). Factor u(l).
-2*(l - 2)*(l + 1)**2
Let m = 477101 + -1431295/3. Find y, given that 8/9*y - m + 2/9*y**2 = 0.
-6, 2
Let l(p) be the second derivative of -p**6/90 + 293*p**5/60 - 97*p**4/4 + 871*p**3/18 - 145*p**2/3 - 7*p - 397. Factor l(a).
-(a - 290)*(a - 1)**3/3
Let d(f) be the first derivative of 2*f**3/15 - 13*f**2/5 + 84*f/5 + 1543. Determine z, given that d(z) = 0.
6, 7
Factor -2/5*k**3 + 0 + 26/5*k**2 - 84/5*k.
-2*k*(k - 7)*(k - 6)/5
Find f such that 903/2*f - 108 + 15*f**4 - 97/4*f**2 - 4319/4*f**3 = 0.
-3/4, 1/3, 2/5, 72
Solve 7*w**3 - 45*w**2 - 43*w - 7*w**3 + 118*w - 12*w**3 = 0.
-5, 0, 5/4
Let y = 600 - 375. Let v = y + -225. Factor -8/7*k**3 + 0*k**2 + 16/7*k**4 + v*k - 6/7*k**5 + 0.
-2*k**3*(k - 2)*(3*k - 2)/7
Let p be ((-5)/(-65))/(1275/77350). Find q, given that 29/6*q + 0 - 1/6*q**3 + p*q**2 = 0.
-1, 0, 29
Let t = -3892 + 3896. Let b(l) be the first derivative of -13 + 7/10*l**t + 0*l + 8/5*l**3 - 4/5*l**2. Solve b(m) = 0.
-2, 0, 2/7
Let b(c) be the second derivative of 35/12*c**4 + 25/3*c**3 + 29*c + 0 + 0*c**2 + 1/4*c**5. Factor b(i).
5*i*(i + 2)*(i + 5)
Let f(h) be the first derivative of h**5/20 - 39*h**4/4 + 303*h**3/4 - 675*h**2/4 + 1776. Find z such that f(z) = 0.
0, 3, 150
Let a(u) be the third derivative of -u**6/480 - 29*u**5/120 - 841*u**4/96 - 332*u**2. Factor a(l).
-l*(l + 29)**2/4
Let n(l) be the third derivative of 0*l**3 - l**2 - 1/6*l**4 - 1/15*l**5 + 0 + 46*l. Factor n(k).
-4*k*(k + 1)
Let h be -36 + 47 + 24 - 33. Find d such that -2/23*d**h - 40/23*d + 2/23*d**3 + 0 = 0.
-4, 0, 5
Let q(b) = 4*b - 31. Let r be q(9). Suppose 1 = w + i - 6, 0 = -5*w + 3*i + 3. Factor -17*v**2 + r - 3*v + 12*v**2 + w*v.
-5*(v - 1)*(v + 1)
Let n(m) = -m**3 - 66*m**2 - 248*m + 2. Let t be n(-62). Let o(v) be the first derivative of 0*v - 8 - 3/4*v**4 - v**3 + 0*v**t. Find f, given that o(f) = 0.
-1, 0
Suppose -1 = -2*q + 3. Suppose 0*y - t + 35 = 2*y, 0 = q*y + 4*t - 50. Factor -11*d**2 + y*d**2 + d - 5*d.
4*d*(d - 1)
Let k(w) be the first derivative of 2/3*w**3 - 91 + 1/2*w**4 - 4*w - 7/3*w**2 - 2/15*w**5. Let k(i) = 0. Calculate i.
-1, 2, 3
Suppose -205 = -4*w - 2*f - 31, -f + 45 = w. Let z = 195 - w. What is x in 0*x**2 - 3*x**2 - z*x**3 - 4*x**4 + 140*x**3 = 0?
-3, -1/4, 0
Find i such that 2/5*i**2 + 134/5*i + 52 = 0.
-65, -2
Let y = -558442 - -3909096/7. Factor -12/7 + y*a**3 + 2/7*a + 8/7*a**2.
2*(a - 1)*(a + 2)*(a + 3)/7
Suppose 63*c**3 - 6*c**5 + 755*c**4 - 51*c**3 - 16*c**2 - 739*c**4 - 6*c = 0. What is c?
-1, -1/3, 0, 1, 3
Let s(k) be the second derivative of 8*k - 55/12*k**4 + 50/3*k**3 - 11 + 10*k**2. Suppose s(q) = 0. Calculate q.
-2/11, 2
Let z(m) be the third derivative of -m**8/33600 - m**7/1400 - m**6/150 + 4*m**5/5 - m**3/3 + 65*m**2. Let f(l) be the third derivative of z(l). Factor f(x).
-3*(x + 2)*(x + 4)/5
Let a(c) be the first derivative of -c**3/2 - 639*c**2/2 - 136107*c/2 + 516. Let a(y) = 0. What is y?
-213
Let c(s) = -5*s**3 - 10*s**2 + 9*s + 3. Let y(r) be the first derivative of 3*r**4/2 + 10*r**3/3 - 4*r**2 - 4*r + 7. Let g(b) = -4*c(b) - 3*y(b). Factor g(t).
2*t*(t - 1)*(t + 6)
Let t be (1 - (-9)/(-15)) + (-2)/5. Suppose 0 = -4*h + g - t + 9, -h - 5*g = 3. Factor -23*z - h*z**5 + 4*z**4 + 23*z.
-2*z**4*(z - 2)
Let l be (60/6 + 6945/(-690))/((-3)/4). What is n in -6/23*n**3 - 4/23*n + 0 + l*n**4 + 2/23*n**5 - 10/23*n**2 = 0?
-1, 0, 2
Let y(p) be the third derivative of 0*p - 1/6*p**4 + 0*p**3 + 81 + p**2 - 1/12*p**6 - 7/30*p**5. Determine v so that y(v) = 0.
-1, -2/5, 0
Let o = -4 - -7. Suppose o*b - 6 = 12. Determine p, given that -2*p**2 + b*p**2 - p**2 = 0.
0
Let d = -721 - -726. Suppose 11*c = -d*r + 16*c + 265, c + 5 = 0. Let -2/3*x**5 + 32*x + 208/3*x**2 - 96 + 10*x**4 - r*x**3 = 0. Calculate x.
-1, 2, 6
Factor -3857*r + 3957*r - 9 + 10 - 3 + 28*r**2 - 46.
4*(r + 4)*(7*r - 3)
Let i be ((-80)/5250)/(1/