e third derivative of l(s). Factor x(b).
4*(b - 2)*(b - 1)
Let l(r) = 357*r - 3925. Let d be l(11). Let q(k) be the first derivative of -12*k + 8*k**d - 4/3*k**3 - 5. What is o in q(o) = 0?
1, 3
Let y = 665119/9 - 73899. Factor y*t**2 + 8/3 - 50/9*t - 2/9*t**3.
-2*(t - 12)*(t - 1)**2/9
What is i in -1124/7*i - 157922/7 - 2/7*i**2 = 0?
-281
Let z = 81 + -78. Suppose 12*q**z - 47*q**3 + 0*q - 16*q - 4*q**4 + 15*q**3 - 32*q**2 = 0. Calculate q.
-2, -1, 0
Let h = 100639 - 301915/3. Factor -h*g**3 - 16/3*g + 8/3 + 10/3*g**2.
-2*(g - 2)**2*(g - 1)/3
Let q(g) = -9*g - 96. Let t be q(-16). Factor -24*o**3 - 13*o**4 + 57*o**2 + t*o - 2*o**4 - 36*o - 30*o.
-3*o*(o - 1)*(o + 3)*(5*o - 2)
Let -48*l - 457/3*l**3 - 4/3*l**5 - 91/3*l**4 + 232*l**2 + 0 = 0. What is l?
-12, 0, 1/4, 1
Suppose 0 = -3*n + 12, 0 = 3*d - 6*d - 3*n + 18. Suppose 19*o**5 + d*o**4 + o**2 - 18*o**5 - 3*o**2 + 0*o**2 - 3*o + 2*o = 0. Calculate o.
-1, 0, 1
Suppose 4*h = -3*g - 0*h + 31, -3*g + 2*h = -7. Factor 153 + 197*y**2 - 200*y + g*y**4 - 73 - 50*y**3 - 32*y**2.
5*(y - 4)**2*(y - 1)**2
Let g(j) be the second derivative of 3/20*j**5 + 1/2*j**4 - 2*j**3 - 1 - 4*j - 12*j**2. Factor g(c).
3*(c - 2)*(c + 2)**2
Let p(c) = c**3 + 7*c**2 + 77*c + 260. Let j be p(-4). Let n(a) be the first derivative of -4/5*a**5 + j*a**2 + 24 - a**4 + 8/3*a**3 + 0*a. Factor n(v).
-4*v**2*(v - 1)*(v + 2)
Let q(l) be the second derivative of -l**4/132 + 17*l**3/22 - 94*l**2/11 + 2384*l. Factor q(m).
-(m - 47)*(m - 4)/11
Find j, given that 9/4*j**4 + 171 - 2499/4*j + 1107/4*j**2 + 699/4*j**3 = 0.
-76, -3, 1/3, 1
Solve 12*j**2 + 2/5*j**3 + 532/5 - 594/5*j = 0.
-38, 1, 7
Let v(k) = -16*k - 29. Let g be v(-5). Let s = -42 + g. Factor -5*m + 2*m**2 + s*m**2 - 21*m**2 - 5*m**3.
-5*m*(m + 1)**2
Let k(w) be the second derivative of -w**4/4 - 41*w**3/6 - 52*w**2 - 2*w + 156. Let i(r) = -3*r**2 - 42*r - 105. Let g(c) = -4*i(c) + 3*k(c). Factor g(a).
3*(a + 3)*(a + 12)
Let n(f) be the second derivative of 5*f**4 + 14*f**3/3 + 4*f**2/5 + f - 1531. Factor n(y).
4*(5*y + 2)*(15*y + 1)/5
Let y = -19 - -21. Let m = 427/423 - 37/47. Determine o, given that -m*o**4 + 2/3*o + 10/9*o**3 + 0 - 14/9*o**y = 0.
0, 1, 3
Factor -6*u**2 + 13*u**2 + 165 - 4*u**2 + 447*u - 495*u.
3*(u - 11)*(u - 5)
Let d(o) be the second derivative of 0*o**3 + 3*o + 0*o**2 - 19 - 1/3*o**4 + 1/15*o**6 - 1/10*o**5. Factor d(j).
2*j**2*(j - 2)*(j + 1)
Let 74 - 21*l**5 + 72 - 16 + 384*l - 320*l**2 + 17*l**5 + 446 - 80*l**3 + 44*l**4 = 0. Calculate l.
-2, -1, 2, 6
Suppose 5*x = -4*h + 571, h = 4*h - 5*x - 472. Suppose h*p + 156*p - 338*p + 3*p**2 = 0. Calculate p.
0, 11
Let t(m) be the third derivative of m**6/40 - 37*m**5/20 + 71*m**4/8 - 35*m**3/2 + 5*m**2 - 80*m - 5. Factor t(y).
3*(y - 35)*(y - 1)**2
Let t(v) be the second derivative of v**5/20 + v**4/3 - v**3 - v**2/2 - 10*v. Let x be t(-5). Factor -9*p**2 + 2*p + 8*p**2 + x - 5.
-(p - 1)**2
Suppose 0 = 112*t - 16*t - 192. Let b(h) be the first derivative of 14 + 1/18*h**3 + 1/4*h**t + 1/3*h. Factor b(o).
(o + 1)*(o + 2)/6
Let q(p) be the first derivative of 3*p**5 + 103*p**4/4 - 284*p**3/3 + 18*p**2 + 668. Factor q(z).
z*(z - 2)*(z + 9)*(15*z - 2)
Let b(n) be the third derivative of 0 - 43/30*n**6 + 6*n**2 + 3*n - 4/3*n**3 - 17/6*n**4 + 17/5*n**5 + 22/105*n**7. What is j in b(j) = 0?
-1/11, 1, 2
Let r(u) be the third derivative of -u**6/120 - u**5/60 + 9*u**3/2 - 34*u**2. Let k be r(0). Factor -k*j**3 + 12*j**3 + 10*j**3 - 10*j**2.
-5*j**2*(j + 2)
What is n in -8/7*n**4 - 4/7*n**5 + 32/7*n**2 - 24/7 + 24/7*n**3 - 20/7*n = 0?
-3, -1, 1, 2
Let l(p) be the first derivative of 5*p**4/12 + 455*p**3/9 + 865*p**2/2 + 1275*p - 3516. Factor l(g).
5*(g + 3)**2*(g + 85)/3
Let b(q) be the third derivative of q**6/60 + 137*q**5/90 + 1541*q**4/36 - 529*q**3/9 + 3572*q**2. Let b(j) = 0. Calculate j.
-23, 1/3
Let z = -615 + 245. Let y = 372 + z. Factor 6/7 + 9/7*j + 3/7*j**y.
3*(j + 1)*(j + 2)/7
Let l(z) be the second derivative of z**6/3 - z**5/4 - 65*z**4/6 - 55*z**3/6 + 30*z**2 + 6*z. Solve l(n) = 0.
-3, -1, 1/2, 4
Let g(y) be the second derivative of -y**5/20 - 5*y**4 - 175*y**3/2 + 6125*y**2 + 2*y + 167. Solve g(d) = 0.
-35, 10
Let q(i) = i**2 + i - 1. Let a(g) = -25*g + 1. Let w(r) = a(r) + q(r). Suppose w(v) = 0. Calculate v.
0, 24
Suppose 0 = -43423*q + 43462*q. Determine l so that 5/2*l + q - 1/2*l**2 = 0.
0, 5
Let a(x) be the first derivative of 0*x - 109 + 1/6*x**2 + 1/12*x**4 - 2/9*x**3. Determine d, given that a(d) = 0.
0, 1
What is c in c**3 + 72*c**2 + 12987*c + 40351 + 716 - 125*c**2 - 178*c**2 = 0?
-3, 117
Suppose 2*f + 9 - 13 = 0. Suppose 5*u - 32 = 4*v, 0 = -f*u + u + 3*v + 2. What is l in -48*l + u + 5*l**3 + 24*l + 12*l - l**3 = 0?
-2, 1
Suppose -6*f + 836 - 769 = 5*q, 5*q = -5*f + 65. Determine l so that 588 + 3/2*l**3 + 378*l + 45*l**f = 0.
-14, -2
Let n = -358463/3 - -119494. Let n*y**5 + 0 - 7*y**4 + 0*y + 0*y**2 + 2/3*y**3 = 0. Calculate y.
0, 2/19, 1
Let h(l) be the first derivative of -12*l**5/5 + 615*l**4/4 - 51*l**3 + 2228. Factor h(q).
-3*q**2*(q - 51)*(4*q - 1)
Let v(p) = p**2. Let c = -679 + 673. Let n(o) = o**2 - 5*o + 10. Let k = 1 + 0. Let h(i) = c*v(i) + k*n(i). Solve h(j) = 0.
-2, 1
Let w(h) be the third derivative of 2*h**7/315 - 7*h**6/360 + h**5/90 + h**4/72 + 1232*h**2 + 3*h - 1. Suppose w(c) = 0. Calculate c.
-1/4, 0, 1
Let f = 252139/5 - 50427. Let -f*n - 2/5*n**2 + 16/5 = 0. Calculate n.
-4, 2
Let k(s) be the second derivative of s**5/80 + 5*s**4/24 + 3*s**3/8 - 615*s. Factor k(p).
p*(p + 1)*(p + 9)/4
Suppose 4*v - 3*n = 5633, v + 5*n - 1339 = 52. Let a be v/148*8/38. Factor -3/7*d + 0 - 3/7*d**a.
-3*d*(d + 1)/7
Let f(x) be the first derivative of x**4/4 + 26*x**3/3 + 12*x**2 - 25*x + 43. Let d be f(-25). Suppose d*j + 0*j**2 + 4/9*j**3 + 0 - 2/9*j**4 = 0. What is j?
0, 2
Let u(g) be the second derivative of g**7/42 + 3*g**6/25 - 33*g**5/100 + g**4/6 + 2668*g. Let u(z) = 0. What is z?
-5, 0, 2/5, 1
Let d(w) be the second derivative of w**5/120 + 5*w**4/36 - 13*w**3/36 - 11*w**2/6 + 3*w - 161. Solve d(q) = 0.
-11, -1, 2
Let k(w) = 8114*w**3 + w - 4 - 16238*w**3 + 8119*w**3. Let x(q) = 6*q**3 - q + 5. Suppose -5*z - 2 = 23. Let d(u) = z*k(u) - 4*x(u). Solve d(s) = 0 for s.
-1, 0, 1
Let m = 30377/6 - 5062. Let h(x) be the first derivative of m*x**2 + 1/15*x**5 - 1/3*x**3 - 2/3*x - 44 - 1/12*x**4. Factor h(l).
(l - 1)**3*(l + 2)/3
Let y(t) = -16*t**3 + 7*t**2 + 105*t - 5. Let a(p) = -57*p**3 + 24*p**2 + 369*p - 18. Let k(r) = -5*a(r) + 18*y(r). Solve k(l) = 0.
-3, 0, 5
Let p(g) be the second derivative of g**4/4 - 25*g**3/2 + 99*g**2 + 4092*g. Factor p(o).
3*(o - 22)*(o - 3)
Let t be 2/(-6) - (-5)/(75/965). Let v = -58 + t. Factor 4*q**2 + 9 + v*q - 17*q**2 + 10*q**2.
-3*(q - 3)*(q + 1)
Let l = 110 + -302/3. Let n(c) be the second derivative of 0 + 8/3*c**3 + 49/5*c**5 + 12*c - l*c**4 + 0*c**2. Solve n(g) = 0 for g.
0, 2/7
Let n = -2403 + 2406. Let i(s) be the third derivative of 1/12*s**4 + 0*s - 1/10*s**5 + 1/20*s**6 + 0*s**n - 1/105*s**7 - 14*s**2 + 0. Let i(b) = 0. What is b?
0, 1
Let j(g) be the second derivative of -g**9/3780 + g**8/840 + g**7/126 - g**6/30 + 3*g**4/2 - g**2 - 21*g. Let x(a) be the third derivative of j(a). Factor x(f).
-4*f*(f - 3)*(f - 1)*(f + 2)
Let p(v) be the second derivative of -v**5/50 + 89*v**4/30 - 254*v**3/15 - 344*v**2/5 + 24*v - 27. Factor p(z).
-2*(z - 86)*(z - 4)*(z + 1)/5
Suppose -u = -4*o - 0*u + 9676, 0 = -3*u + 12. Factor -138*f - 74*f + o - 96*f + 5*f**2 + 88*f.
5*(f - 22)**2
Find o, given that -3/2*o**4 + 216849/2*o - 68921 - 15375/2*o**2 + 371/2*o**3 = 0.
2/3, 41
Factor -2075/4 - 1/8*u**3 - 22*u**2 - 1685/8*u.
-(u + 5)**2*(u + 166)/8
Suppose -660 + 357 = -241*u + 420. Determine p so that -8/5 + 2/5*p**5 - 10*p**2 + 38/5*p**u - 14/5*p**4 + 32/5*p = 0.
1, 2
Let i be 19 + 45*(-5)/15. Let o(w) be the second derivative of 0 - 5/2*w**2 + 11*w - 5/6*w**3 - 1/6*w**6 - 5/42*w**7 + 5/6*w**i + 1/2*w**5. Factor o(u).
-5*(u - 1)**2*(u + 1)**3
Suppose 19*q - 184 = -96*q + 23*q. Let v(y) be the second derivative of -1/8*y**4 + 29*y + 0 - 3/2*y**q + 3/4*y**3. Find o, given that v(o) = 0.
1, 2
Let g(y) = 5*y - 5. Let k be g(4). Let w be k*(-243)/(-45)*2/6. Solve -36 + 17*m + 0*m**2 - 45*m**2 - 113*m + w*m**3 = 0 for m.
-2/3, 3
Let a = -1134 + 113