 32
Let v(j) be the first derivative of -j**6/21 + 102*j**5/35 + 159*j**4/14 + 46*j**3/3 + 54*j**2/7 + 3719. Let v(n) = 0. What is n?
-1, 0, 54
Let q be (-1)/3*11*3. Let w = -9 - q. Determine i so that -8*i**w - 8*i**2 + 18*i**2 = 0.
0
Suppose -6*o - 2*z = -12, 0 = -16*o + 14*o + 3*z + 37. Factor -30/7*w**4 + 0 - 6*w**2 - 6/7*w**o - 54/7*w**3 - 12/7*w.
-6*w*(w + 1)**3*(w + 2)/7
Let i be 142/(-426) + (-16)/(-3). Suppose 2*y - i*o = 31, -3*y + 11 = -4*o - 18. Determine v, given that -4/3*v**5 + 0*v + 0*v**4 + 0*v**2 + 0 + 4/3*v**y = 0.
-1, 0, 1
Let l = 15083/4 + -15081/4. Factor 1/4*x + 0 + l*x**2 + 1/4*x**3.
x*(x + 1)**2/4
Let i be (-144)/(-60)*(-11)/(-28) - 196/245. Let i*s**2 + 0 + 0*s - 1/7*s**3 = 0. What is s?
0, 1
Let a = -576853/2 - -288429. Determine l, given that -16*l**3 + 0 - a*l**4 - 26*l**2 - 8*l = 0.
-4, -2, -2/5, 0
Find d such that -292 + 1461/5*d - 1/5*d**2 = 0.
1, 1460
Let r(t) be the third derivative of t**5/140 + 1553*t**4/14 + 4823618*t**3/7 - 8030*t**2 + t. Find b, given that r(b) = 0.
-3106
Let c(l) = 126*l**3 + 268*l**2 - 306*l - 56. Let s(h) = -42*h**3 - 89*h**2 + 101*h + 18. Let w(j) = 3*c(j) + 8*s(j). Factor w(u).
2*(u - 1)*(u + 3)*(21*u + 4)
Let h = -50503 + 50512. Suppose 6*y**2 + h*y + 3/2*y**4 - 15/2 - 9*y**3 = 0. Calculate y.
-1, 1, 5
Let -5216450*p - 8424566750/3 - 3230*p**2 - 2/3*p**3 = 0. What is p?
-1615
Let n(o) be the first derivative of o**5/5 + 4*o**4/3 + 8*o**3/3 + o - 48. Let p(q) be the first derivative of n(q). Let p(y) = 0. What is y?
-2, 0
Let n(g) = 2*g**3 + g + 1. Let a(c) = -8*c**3 - 6*c**2 - 97*c - 149. Let f(b) = a(b) + 5*n(b). Factor f(p).
2*(p - 9)*(p + 2)*(p + 4)
Factor 0 - 65/2*k - 453/4*k**2 + 7/4*k**3.
k*(k - 65)*(7*k + 2)/4
Let j(r) be the second derivative of 3*r**8/11200 - 11*r**7/4200 - r**6/300 - 77*r**4/12 + 118*r. Let w(s) be the third derivative of j(s). Factor w(d).
3*d*(d - 4)*(3*d + 1)/5
Let r(c) be the first derivative of 1/27*c**3 - 190 + 4/3*c + 13/18*c**2. Factor r(k).
(k + 1)*(k + 12)/9
Factor 245/3 - 1/3*l**2 - 28/3*l.
-(l - 7)*(l + 35)/3
Let n = 3419 - 3419. Let o(s) be the third derivative of 9/10*s**5 + 0*s + 1/5*s**6 - 27/2*s**3 + n*s**4 + 1/70*s**7 + 10*s**2 + 0. Factor o(d).
3*(d - 1)*(d + 3)**3
Let w(n) be the first derivative of -n**7/70 - 9*n**6/40 - 2*n**5/5 + n**2 + 15*n - 108. Let y(a) be the second derivative of w(a). Factor y(k).
-3*k**2*(k + 1)*(k + 8)
Let y(d) = d**2 + d + 2. Let m be y(0). Let j = -82569 - -82571. Find l, given that 0 - 5/2*l**m - 1/2*l**3 - j*l = 0.
-4, -1, 0
Suppose -3*z = -26*z + 5405. Let s = 235 - z. Factor 0*t + 1/2*t**2 + s.
t**2/2
Suppose 9*o - 1633 = 1292. Suppose -o = -5*h - 310. Let -2/3*z**4 - 10/3*z + 4/3 + 2/3*z**h + 2*z**2 = 0. Calculate z.
-2, 1
Let k(c) be the first derivative of 0*c**3 - 34*c**2 + 57*c**2 + 175*c**2 - 18 - 48*c**2 + 7500*c + c**3. What is a in k(a) = 0?
-50
Let t(g) = 21*g - 12 + 0 - 22*g. Let u be t(-14). What is a in -727 + 8*a + 727 + 48*a**u + 90*a**3 + 50*a**4 = 0?
-1, -2/5, 0
Let f(u) be the second derivative of -2*u**7/21 + 8*u**6/15 + 3*u**5/5 - 22*u**4/3 + 8*u**3/3 + 48*u**2 + 2*u + 213. Solve f(s) = 0.
-2, -1, 2, 3
Solve 6/7*q + 1/7*q**3 - 8 + 9/7*q**2 = 0 for q.
-7, -4, 2
Let i(r) be the first derivative of r**4 - 96*r - 235 - 88/3*r**3 - 94*r**2. Factor i(b).
4*(b - 24)*(b + 1)**2
Suppose 0 = -58*a + 62*a - 40. Let r be (a/4)/(33/66). What is z in -11*z**r + 21*z**4 + 9*z**3 - 27*z**4 + 8*z**5 = 0?
-3, 0, 1
Let m(n) be the first derivative of -n**7/1260 + n**6/5 - 81*n**5/5 - 14*n**3 - 3*n + 51. Let c(u) be the third derivative of m(u). Factor c(p).
-2*p*(p - 54)**2/3
Let i(w) be the third derivative of w**7/8820 + w**6/210 + 3*w**5/35 + w**4/8 + 11*w**3/6 - 40*w**2. Let f(l) be the second derivative of i(l). Factor f(h).
2*(h + 6)**2/7
Let s(v) be the first derivative of -2/13*v**3 - 15 - 4/13*v + 5/13*v**2. Factor s(w).
-2*(w - 1)*(3*w - 2)/13
Suppose 4*t - 5*g - 45 = 0, -5*t + 10 = 98*g - 95*g. Let k(a) be the second derivative of 15*a**2 - 15/4*a**t + 155/6*a**3 + 85/6*a**4 + 0 + 15*a. Factor k(z).
-5*(z - 3)*(3*z + 1)*(5*z + 2)
Let v(u) = u**2 - 5*u - 802. Let o be v(-26). Factor 2/9*j**2 + 0 + 2/9*j - 2/9*j**o - 2/9*j**3.
-2*j*(j - 1)*(j + 1)**2/9
Find h such that 0 + 1/3*h**2 - 175/3*h = 0.
0, 175
Let t(a) be the third derivative of 0*a + 1/120*a**6 + 1/30*a**5 - 1/105*a**7 + 1/672*a**8 + 0*a**3 + 0 - 1/16*a**4 - 27*a**2. Determine d, given that t(d) = 0.
-1, 0, 1, 3
Suppose 2*i - 5*y = 5*i + 67, 2*y - 60 = 5*i. Let w be 36/96*i*(-18)/14. Find p such that 0 + 9/2*p**3 + 3/4*p**4 + w*p**2 + 0*p = 0.
-3, 0
Suppose -11*o - 12*o + 11*o + 48 = 0. Let k(t) be the first derivative of 8 + 8/5*t - 8/15*t**3 + 1/5*t**2 - 1/10*t**o. Factor k(c).
-2*(c - 1)*(c + 1)*(c + 4)/5
Let g(z) be the first derivative of z**3/9 - 846*z**2 + 2147148*z + 5716. What is r in g(r) = 0?
2538
Let m = 94054 - 94054. Factor 0 - 4/7*f - 6/7*f**2 + 2/7*f**4 + m*f**3.
2*f*(f - 2)*(f + 1)**2/7
Suppose z + 31 = 2*t, 0 = t - z + 5*z - 20. Let p be 2/(1*-2) + (12 - 11). Factor 8*u + p*u + 12*u - 4*u**2 - t.
-4*(u - 4)*(u - 1)
Suppose i = k, -35*i = -36*i + 4*k - 12. Let y(u) be the second derivative of 5/12*u**i + 0 - 5/2*u**3 + 5*u**2 - 14*u. Factor y(x).
5*(x - 2)*(x - 1)
Suppose 5*f - 31 = -r, 0*r = 5*r - f - 233. Let i be -3 + (-2)/(4/r*-1). Solve -i*m - 72*m**4 - 4*m**5 + 7 + 6*m**3 + 5 - 8*m**2 + 68*m**4 + 18*m**3 = 0.
-3, -1, 1
Let f be 7/(-28) - (27/(-12) - 2). Let y be f/26 + 8/(-52). Suppose 0*g + 1/4*g**2 - 1/8*g**4 + y - 1/8*g**3 = 0. What is g?
-2, 0, 1
Let x(n) be the first derivative of -27*n + 1/3*n**4 + 1/3*n**3 + 1/10*n**5 + 32 + 0*n**2. Let r(o) be the first derivative of x(o). Find y such that r(y) = 0.
-1, 0
Let l(j) = 1. Let r = -1 - 5. Let y(z) = 11*z**2 + 16 + 2 - 10*z**2 + 6*z - 15. Let x(q) = r*l(q) - y(q). Factor x(u).
-(u + 3)**2
Let m = -67 + 151. Factor m*d**3 + 319 + 649 - 2*d**4 + 794*d**2 - 1848*d - 3*d**4 + 7*d**4.
2*(d - 1)**2*(d + 22)**2
Let g = 84107 + -420491/5. Determine t so that 0 - 26/5*t**2 - g*t - 2/5*t**3 = 0.
-11, -2, 0
Let z(b) be the third derivative of 405/2*b**3 - b**2 - 9/4*b**4 + 0*b + 1/100*b**5 - 10. Factor z(h).
3*(h - 45)**2/5
Let y = -2104 + 2064. Let d be (-6)/48 - y/(-384)*-14. Solve -d - 24*p**3 - 97/3*p**2 - 12*p - 16/3*p**4 = 0 for p.
-2, -1/4
Let n(a) be the first derivative of -1/15*a**5 + 0*a - 8/3*a**3 + 7 + 13/2*a**2 - 2/3*a**4. Let k(u) be the second derivative of n(u). Factor k(j).
-4*(j + 2)**2
Let t(z) be the first derivative of -3*z - 1/21*z**4 + 10 - 2/21*z**3 + 0*z**2. Let o(g) be the first derivative of t(g). Factor o(r).
-4*r*(r + 1)/7
Let j be 4/(-3) + 1892/165*5. Factor j*o**5 + 18 + 36*o**3 - 22*o**4 - 38*o - 244*o**2 - 54*o**5 + 248*o**2.
2*(o - 9)*(o - 1)**3*(o + 1)
Let r be 65/(-25) + 2 + (-3045)/4275. Let n = r - -30/19. Find i such that -n*i**3 + 0 + 4/15*i + 2/15*i**4 - 2/15*i**2 = 0.
-1, 0, 1, 2
Let w(v) = -15*v**3 + 3*v**2 + 92*v - 74. Let r(m) = 31*m**3 - 10*m**2 - 182*m + 147. Let l(i) = -6*r(i) - 13*w(i). Factor l(o).
(o + 5)*(3*o - 4)**2
Factor 583*u**2 - 1180*u**2 + 138*u + 596*u**2 - 137.
-(u - 137)*(u - 1)
Let v(h) = -6*h**4 + 3*h**3 - h**2. Let r(z) = 22*z**4 + 251*z**3 - 268*z**2 - 464*z - 132. Let u(k) = r(k) + 3*v(k). Solve u(q) = 0 for q.
-66, -1/2, 2
Let t = -133/3 + 45. Let m(i) = -7188*i - 28750. Let h be m(-4). Factor 1/3*n**3 - n**h + t*n + 0.
n*(n - 2)*(n - 1)/3
Let u(z) be the first derivative of -z**4/16 + 398*z**3/3 - 1589*z**2/2 + 1588*z - 6195. Factor u(g).
-(g - 1588)*(g - 2)**2/4
Determine w so that -755/2*w - 1/2*w**3 - 377/2 - 379/2*w**2 = 0.
-377, -1
Let n be -86 + -1 + 1 + 2 - -3. Let v = n + 85. Factor -v*r - 4*r + 3*r**2 + 2 + 2*r - 26.
3*(r - 4)*(r + 2)
Let 6/11*y**5 + 90/11*y**4 + 192/11*y**3 - 288/11*y**2 + 0 + 0*y = 0. Calculate y.
-12, -4, 0, 1
Let y(z) = 29*z + 66. Let n be y(-2). Factor 4*m**2 + 0*m**2 - 14*m**4 - 12*m**2 + 10*m**3 + 4*m**2 + n*m**2.
-2*m**2*(m - 1)*(7*m + 2)
Solve -53 - 129*o**2 - 5/2*o**3 + 369/2*o = 0.
-53, 2/5, 1
Suppose -24*m - 49 = -31*m. Factor m*v**2 - 20*v - 5*v**2 - 3*v**2 + 5*v**2 - 96.
4*(v - 8)*(v + 3)
Let j(a) = 15*a**2 - 25*a - 19. Let s(r) = -13*r**2 + 24*r + 19. Let k be (-1 - 2)/((-4)/8). Let q(d) = k*j(d) + 7*s(d). Determine l, given that q(l) = 0.
-1, 19
Determi