 -1/2*n**3 - 35*n**2 - 1/4*n**q + 0*n + 0 - 1/20*n**5. What is d in j(d) = 0?
-1
Let d(r) be the second derivative of r**6/10 - 33*r**5/20 + 3*r**4/2 + 22*r**3 - 60*r**2 - r - 571. Solve d(w) = 0.
-2, 1, 2, 10
Factor 66/7*w + 15/7 + 51/7*w**2.
3*(w + 1)*(17*w + 5)/7
Let 449/10*o**3 + 3/10*o**4 - 1125 + 16723/10*o**2 - 1185/2*o = 0. What is o?
-75, -2/3, 1
Let s(f) = f**3 + 8*f**2 - 3*f - 4. Let q be s(-8). Let z = -18 + q. Solve 57 - 12 - 9*t - t**2 + 6*t**z - 21*t = 0.
3
Let r = -125 - -124. Let a be (r + 2)*(-2 + 2 - -17). Factor -17 - 9*f**3 + 14*f**4 + a - 17*f**4 - 6*f**2.
-3*f**2*(f + 1)*(f + 2)
Let l(s) = -2*s**2 - 2426*s - 4862. Let v(d) = -5*d**2 - 2427*d - 4861. Let f(p) = -3*l(p) + 2*v(p). Factor f(a).
-4*(a - 608)*(a + 2)
Suppose -4*i = -5*a - 212 + 350, 18 = a - 4*i. Let r(p) be the second derivative of 1/30*p**6 + 0*p**3 + 3/20*p**5 + 0 + 0*p**2 + 1/6*p**4 - a*p. Factor r(j).
j**2*(j + 1)*(j + 2)
What is m in 3/7*m**2 - 75/7 + 0*m = 0?
-5, 5
Let k(z) = 2*z**2 - 139*z + 204. Let t be k(68). Let y(o) be the second derivative of 1/60*o**4 - 7*o + 0*o**2 + t + 1/30*o**3. Solve y(a) = 0.
-1, 0
Let o(j) = -4*j**4 - 99*j**3 - 420*j**2 - 802*j - 15. Let g(r) = 2*r**4 + 50*r**3 + 208*r**2 + 400*r + 8. Let p(n) = 15*g(n) + 8*o(n). Factor p(u).
-2*u*(u + 4)**2*(u + 13)
Let d(l) = 5*l**2 - 217*l + 1628. Let h(t) = 95*t**2 - 4125*t + 30930. Let g(m) = -75*d(m) + 4*h(m). Factor g(y).
5*(y - 36)*(y - 9)
Let u(i) be the first derivative of 8/3*i**3 + 0*i - 15/2*i**2 - 83 - 1/4*i**4. Factor u(z).
-z*(z - 5)*(z - 3)
Suppose 483 + 3/2*s**2 - 159/2*s = 0. Calculate s.
7, 46
Let -204*b**2 + 321*b + 373*b + 375*b + 2*b**5 + 12*b**4 + 12*b**3 - 799*b - 92*b**3 = 0. What is b?
-9, -3, 0, 1, 5
Let b(k) = -5*k**3 - 16*k**2 + 21*k. Let y(l) = -l**2 + l. Let s be (-92)/14 + 12/21. Let p(n) = s*y(n) + b(n). Suppose p(h) = 0. Calculate h.
-3, 0, 1
Let l(s) be the third derivative of -s**6/120 - 739*s**5/60 - 17020*s**4/3 + 68450*s**3/3 - 19*s**2 + 21. Let l(p) = 0. Calculate p.
-370, 1
Let b(x) be the first derivative of 343*x**2 + 98*x**3 + 2/5*x**5 - 3 + 0*x + 21/2*x**4. Find s such that b(s) = 0.
-7, 0
Let c(f) be the second derivative of 0*f**2 - 18*f + 0 + 3/2*f**3 - 1/900*f**6 - 1/15*f**4 + 1/60*f**5. Let t(w) be the second derivative of c(w). Factor t(v).
-2*(v - 4)*(v - 1)/5
Let d be -9 + 7400/900 + 3/5 + 4/10. Factor -d*n**2 - 76/9 + 26/3*n.
-2*(n - 38)*(n - 1)/9
Determine i so that -77/3*i + 86/3*i**3 - 3*i**5 - 37*i**4 + 98/3*i**2 + 13/3 = 0.
-13, -1, 1/3, 1
Let w(z) be the first derivative of -833/4*z**4 - 504*z**3 - 79 - 343/10*z**5 - 1215/2*z**2 - 729/2*z. Suppose w(c) = 0. What is c?
-9/7, -1
Let f(v) be the third derivative of v**8/50400 - v**7/525 - 25*v**5/6 - 233*v**2. Let b(t) be the third derivative of f(t). Determine x, given that b(x) = 0.
0, 24
Factor -23*k - 4*k**2 + 1/3*k**3 + 80/3.
(k - 16)*(k - 1)*(k + 5)/3
Let y be (-366)/(-9) + 22/(-33). Factor y*w + 18 + 19*w - 2*w**2 + 10*w**3 - 11*w**3 - 34*w + 8*w**2.
-(w - 9)*(w + 1)*(w + 2)
Let x(q) be the first derivative of q**7/80 - q**6/120 - 7*q**5/20 + q**4/2 + 15*q**3 - 83. Let b(g) be the third derivative of x(g). Factor b(u).
3*(u - 2)*(u + 2)*(7*u - 2)/2
Let c = 4745821/22542740 - -1/1186460. Solve -8/19*h**4 + 12/19*h**2 + 6/19*h**5 - 16/19*h**3 - c + 10/19*h = 0 for h.
-1, 1/3, 1, 2
Factor 364*x**3 + 189*x**4 - 111*x**4 - 1436*x**2 - 44544*x + 34104 + 8748*x**2 + 2760 - 74*x**4.
4*(x - 4)*(x - 1)*(x + 48)**2
Let w(u) = 2*u**3 - u - 2. Let m(o) = -120*o**3 + 20*o**2 + 94*o - 16. Suppose -15*t + 240 = -39*t. Let k(q) = t*w(q) - m(q). Determine l, given that k(l) = 0.
-1, 3/5
Let o(j) = -j**3 - 13*j**2 - 27*j - 8. Let y be o(-11). Factor 5*v**3 + 46 - 4*v**3 - 11*v + 44*v**2 - y*v - 33*v.
(v - 1)**2*(v + 46)
Let a = 78359/65270 + -7/13054. Factor 3/5*x**2 - a*x - 3/5*x**4 + 6/5*x**3 + 0.
-3*x*(x - 2)*(x - 1)*(x + 1)/5
Let h(d) = 27*d + 57. Let y be h(-25). Let w = 620 + y. Suppose 2/17*g + 8/17*g**w + 0 + 10/17*g**3 + 4/17*g**4 = 0. Calculate g.
-1, -1/2, 0
Let d(s) be the first derivative of -1/3*s**3 + 0*s**2 - 5/12*s**4 - 1/15*s**5 + 0*s + 1/18*s**6 - 50. Find u such that d(u) = 0.
-1, 0, 3
Let h be -12 + (36/4 - (-5)/1). Solve 24/5*r - 4/5*r**h + 2/5*r**4 - 6/5*r**3 - 16/5 = 0.
-2, 1, 2
Suppose 409048 = 115*i + 408818. Factor 15*z + 11/2*z**i - 18 + 1/4*z**4 - 11/4*z**3.
(z - 6)**2*(z - 1)*(z + 2)/4
Let y(m) be the first derivative of -4*m**2 + 52 + 22/3*m + 2/9*m**3. Let y(o) = 0. What is o?
1, 11
Let w(q) = 20*q**2 + 393*q - 38028. Let c(f) = -7*f**2 - f + 1. Let r(p) = 3*c(p) + w(p). Solve r(u) = 0 for u.
195
Solve -3/8*p**3 + 34347/8 - 639/8*p**2 - 33705/8*p = 0 for p.
-107, 1
Suppose b = 3*s - 16 + 5, b + 6 = 2*s. Factor 0*y - y**2 - 25/4*y**s + 0 + 4*y**3 - 5/4*y**4.
-y**2*(y + 1)*(5*y - 2)**2/4
Find l, given that -25/3*l**3 - 10 + l**4 + 1/3*l + 17*l**2 = 0.
-2/3, 1, 3, 5
Solve 747*c**2 + 339/7*c**4 - 3315/7*c - 309*c**3 + 600/7 - 18/7*c**5 = 0 for c.
1/3, 1/2, 5, 8
Let h(d) be the first derivative of -8*d**3 - 167 + 21/5*d**2 - 4/5*d + 5/2*d**4. Let h(m) = 0. Calculate m.
1/5, 2
Let z(r) be the third derivative of -r**6/1260 - 31*r**5/7 - 72075*r**4/7 - 89373000*r**3/7 - 2042*r**2. Factor z(c).
-2*(c + 930)**3/21
Let i be (2 - 0) + (-3 - (-2 + -2)). Suppose 2*k + 13 = h, 4*k = 4*h + i*k - 17. Let -31*c**2 + 11*c**2 - 2*c**3 + 6*c**h + 16*c = 0. Calculate c.
0, 1, 4
Let r(z) = -z**3 - z**2 - z + 1. Let k(p) = -p**3 - 13*p**3 + 6 - 21*p + 24*p**2 + 13*p**3. Let w(i) = -k(i) - 4*r(i). Determine g, given that w(g) = 0.
1, 2
Let p(g) be the third derivative of 0*g**4 + 15/14*g**5 + 1/14*g**6 + 0*g**3 - 12 + 0*g - g**2 + 1/735*g**7. Let p(n) = 0. Calculate n.
-15, 0
Let j = 192554/74115 - -29/14823. Determine k so that -4/5*k - 12/5 + j*k**2 + 4/5*k**3 - 1/5*k**4 = 0.
-2, -1, 1, 6
Solve 14/3*c**2 + 16/3 + 28/3*c + 2/3*c**3 = 0.
-4, -2, -1
Suppose -31 = q - 171*v + 174*v, -6*q - 3*v - 21 = 0. What is j in j**q - 9 - 9/2*j = 0?
-3/2, 6
Let v = 43078 - 43078. Let w(m) be the second derivative of 4/9*m**2 - 1/27*m**3 - 2/27*m**4 + v + 1/90*m**5 + 24*m. Factor w(q).
2*(q - 4)*(q - 1)*(q + 1)/9
Suppose -22 = -5*g - 7. Factor -44*r**2 - 4*r**3 + 17*r**2 + 21*r**2 + 8*r + 2*r**g.
-2*r*(r - 1)*(r + 4)
Let l = 217126 + -1519370/7. Let 320/7*z + 24*z**2 - l + 1/7*z**4 + 23/7*z**3 = 0. What is z?
-8, 1
Let g(y) be the first derivative of 3*y**4/4 - 14*y**3 - 168*y**2 - 480*y - 3068. Suppose g(j) = 0. What is j?
-4, -2, 20
Let o(i) = i**2 + 12*i + 14. Let j(s) = -s**3 - 3*s**2 + 30*s + 9. Let c be j(-7). Let q(x) = -2*x**2 - 23*x - 28. Let b(f) = c*o(f) - 3*q(f). Factor b(u).
(u + 2)*(u + 7)
Let c(a) be the second derivative of -a**5/20 + a**4/2 + 49*a**3/6 + 33*a**2 - 1693*a. Find b, given that c(b) = 0.
-3, -2, 11
Let x be (-2)/((-4)/46) - -4. Suppose 31 = f + x. Solve 11*u**3 - 7*u**5 + 2*u**5 + 2*u**2 + 8*u**2 + f*u**3 = 0.
-1, 0, 2
Let t = -354353 - -354356. Factor 21/2*u**t + 15/2*u**5 + 0 + 0*u + 33/2*u**4 + 3/2*u**2.
3*u**2*(u + 1)**2*(5*u + 1)/2
Let f(q) be the third derivative of -1/300*q**6 + 5*q + 2*q**2 + 16/15*q**3 + 4/75*q**5 + 0 - 1/3*q**4. Factor f(b).
-2*(b - 4)*(b - 2)**2/5
Let z = 34 - 41. Let t be ((-42)/(-4))/z*-2. Solve t*x + 23 + 0*x**2 + 3*x**2 - 23 = 0.
-1, 0
Let j be (-2)/3*18/(-20). Let f = -2/1488511 + 1488521/7442555. What is r in 4/5*r + 0 - j*r**3 - 4/5*r**2 + 2/5*r**4 + f*r**5 = 0?
-2, 0, 1
Let o(n) be the second derivative of 19*n + 7*n**2 + 0*n**3 + 1/240*n**5 + 0 + 1/32*n**4. Let m(a) be the first derivative of o(a). What is c in m(c) = 0?
-3, 0
Let d(f) be the first derivative of -8/7*f + 8/21*f**6 + 4/3*f**3 - 106 - 11/7*f**4 - 4/7*f**5 + 2*f**2. Determine k, given that d(k) = 0.
-1, 1/4, 1, 2
Let u = 5721 + -3892. Let v = u - -509. Factor v - p**2 - 3*p - 2338.
-p*(p + 3)
Let m(t) be the second derivative of -t**4/42 - 47*t**3/3 + 13329*t. Factor m(b).
-2*b*(b + 329)/7
Let g(a) be the third derivative of -a**5/150 - a**4/60 + 14*a**3/5 + 2*a**2 - 24*a. Determine u, given that g(u) = 0.
-7, 6
Factor 317*b + 67*b**2 + 389205 - 1865*b - 62*b**2 - 1242*b.
5*(b - 279)**2
Let t = -461/6 - -77. Suppose 0 = -434*q + 440*q. Let -1/3*u + t*u**2 + q = 0. What is u?
0, 2
Factor 2/7*j**4 + 3/7*j**2 - j**3 + 0 + 0*j.
j**2*(j - 3)*(2*j - 1)/7
Let p(s) be the t