ind l, given that q(l) = 0.
0, 6, 22
Let d(n) be the third derivative of -n**9/8064 + n**7/2240 - 23*n**3/3 - n**2 - 5. Let s(v) be the first derivative of d(v). Suppose s(j) = 0. What is j?
-1, 0, 1
Let 149/2*d - 22201/4 - 1/4*d**2 = 0. Calculate d.
149
What is i in -110*i**3 - 434*i**4 - 108*i**2 + 0*i**2 + 869*i**4 - 437*i**4 = 0?
-54, -1, 0
Let x = 20/7 - 50/21. Let i = 82/21 - x. Solve 144/7 + i*k + 1/7*k**2 = 0 for k.
-12
Let l(v) = 67*v**2 - 204*v + 161. Let s(x) = -43*x**2 + 136*x - 108. Let i(g) = -5*l(g) - 8*s(g). Factor i(u).
(u - 1)*(9*u - 59)
Let h(b) be the second derivative of -b**8/1176 + b**7/735 + b**6/210 - 108*b**2 + 5*b + 2. Let n(s) be the first derivative of h(s). Solve n(c) = 0 for c.
-1, 0, 2
Let l(c) be the first derivative of -c**7/490 - 3*c**6/280 + c**5/140 + 3*c**4/56 + 19*c**2/2 - 43. Let d(p) be the second derivative of l(p). Factor d(j).
-3*j*(j - 1)*(j + 1)*(j + 3)/7
Let y(l) be the first derivative of -l**5/4 - 85*l**4/24 - 25*l**3/3 - 33*l**2 + 7. Let r(x) be the second derivative of y(x). Factor r(a).
-5*(a + 5)*(3*a + 2)
Let w be ((-4 - 315/(-80))*12*(-8)/(-6))/(-3). Factor 2/3*j**3 - w*j**4 + 0*j - 1/3*j**5 + 0 + 0*j**2.
-j**3*(j - 1)*(j + 2)/3
Let v(s) be the third derivative of -s - 2/21*s**4 + 1/210*s**5 + 0 - 7*s**2 - 4/7*s**3 + 1/420*s**6. Factor v(g).
2*(g - 3)*(g + 2)**2/7
Let d be (-7)/7 + (-78)/(-2). Let z(u) be the first derivative of 35*u**2 + u**3 - d*u**2 - 3 + 4*u - u. Factor z(n).
3*(n - 1)**2
Let s(z) = 21*z - 214. Let q be s(-15). Let n = q - -5875/11. Factor 2/11 + 392/11*x**2 + n*x.
2*(14*x + 1)**2/11
Let p(g) be the second derivative of -1/4*g**5 + 5/2*g**3 - 1/24*g**6 + 0 + 5/24*g**4 - 5/2*g**2 + 25*g. Let x(c) be the first derivative of p(c). Factor x(w).
-5*(w - 1)*(w + 1)*(w + 3)
Let z(h) be the second derivative of -3*h**5/50 + 239*h**4/60 + 407*h**3/15 + 129*h**2/10 - 13*h + 164. Solve z(u) = 0 for u.
-3, -1/6, 43
Let y(i) be the second derivative of -i**4/78 - 844*i**3/39 - 178084*i**2/13 + 362*i + 2. Solve y(w) = 0 for w.
-422
Let w(s) be the third derivative of 3/14*s**4 - 2*s**2 + 0 - 1/140*s**5 + 40*s + 13/14*s**3. Suppose w(j) = 0. What is j?
-1, 13
Factor 3924*t**2 + 183 - 15*t - 3925*t**2 - 43*t.
-(t - 3)*(t + 61)
Suppose 3*z**2 + 151 - 31 - 498*z + 366*z + 132 = 0. What is z?
2, 42
Let b(p) = 9*p**3 - 3727*p**2 - 7468*p - 3706. Let d(z) = -2*z**3 + 932*z**2 + 1867*z + 927. Let w(i) = -6*b(i) - 26*d(i). Factor w(a).
-2*(a + 1)**2*(a + 933)
Let h(m) = -m**3 + 37*m**2 + 363*m - 133. Let w be h(45). What is z in -24 - 704/3*z**w - 140*z - 256/3*z**3 = 0?
-2, -3/8
Let d(i) be the first derivative of -i**5/10 + i**4/3 - i**3/3 + 42*i + 16. Let j(p) be the first derivative of d(p). Factor j(x).
-2*x*(x - 1)**2
Let p(n) be the first derivative of -3/5*n**5 - 45*n + 69*n**2 - 48*n**3 - 64 + 27/2*n**4. Factor p(o).
-3*(o - 15)*(o - 1)**3
Suppose 23*m + 25*m + 8*m**2 - 9*m**2 - 50 + 3*m**2 + 0*m**2 = 0. Calculate m.
-25, 1
Let o(i) be the first derivative of 4/3*i**3 + 39 + 16*i**2 - 4*i**5 - 2/3*i**6 - 7*i**4 + 16*i. Solve o(j) = 0.
-2, -1, 1
Determine g, given that -g**2 + 0*g**2 + 116*g - 2*g**4 + 3*g**4 + 0*g**2 - 3*g**3 - 114*g + g**5 = 0.
-2, -1, 0, 1
Let d(u) be the second derivative of -u - 2205/2*u**2 - 35*u**3 + 34 - 5/12*u**4. Let d(p) = 0. What is p?
-21
Let t(f) be the first derivative of -f**6/1260 - f**5/420 + f**4/42 + 7*f**3/3 - 2*f - 46. Let j(h) be the third derivative of t(h). Solve j(z) = 0 for z.
-2, 1
Let k = 4502152/7 + -643161. Determine s so that -k - 26/7*s - 1/7*s**2 = 0.
-25, -1
Suppose -1253/4*u**2 - 323/4*u**4 - 1077/4*u**3 + u**5 - 587/4*u - 21 = 0. Calculate u.
-1, -1/4, 84
Suppose 163 = -8*t + 179. Let r(j) be the third derivative of 0*j**4 + 0*j**5 + 0 + 1/100*j**6 + 0*j - 9*j**t + 0*j**3 + 1/525*j**7. Solve r(s) = 0 for s.
-3, 0
Suppose -5*f = -7*m + 278, -4*f - 4*m - 204 = -5*m. Let w be (-5)/(-2)*(-10)/f. What is l in 0 + l**3 + 0*l**4 + 0*l**2 - w*l**5 - 1/2*l = 0?
-1, 0, 1
Let c(i) be the third derivative of i**8/252 + 23*i**7/189 - 377*i**6/540 - 7*i**5/45 + 133*i**4/27 + 88*i**3/27 + 3620*i**2. Suppose c(h) = 0. What is h?
-22, -1, -1/6, 2
Let c(y) be the third derivative of -y**5/600 - 7*y**4/60 + 17*y**3/5 + 156*y**2 - 4*y. Factor c(u).
-(u - 6)*(u + 34)/10
Find r such that 3 + 4*r**2 + 288*r + 70 - 3 + 82 + 132 = 0.
-71, -1
Let j(z) = z**2 + 28*z + 132. Let s be j(-6). Let y(k) be the third derivative of 20*k**2 + s*k + 0 - 1/450*k**5 - 1/45*k**4 - 1/15*k**3. Factor y(d).
-2*(d + 1)*(d + 3)/15
Suppose -154 + 58 = -24*y. Let h(b) be the first derivative of 0*b**2 - 3/32*b**y + 0*b - 4 + 0*b**3. What is v in h(v) = 0?
0
Let l(w) be the second derivative of 10/3*w**3 - 42*w + 0 - 5/12*w**4 - 15/2*w**2. Factor l(f).
-5*(f - 3)*(f - 1)
Suppose 133 = -2*f + 137. Factor -5*o**3 + 24*o**2 - 12 - 27*o**2 + 2*o + 15*o**f + 3*o**3.
-2*(o - 6)*(o - 1)*(o + 1)
Let l(h) be the second derivative of 1/5*h**5 - 4/21*h**7 + h**4 + 2/3*h**3 - 2/5*h**6 + 0*h**2 + 2 + 18*h. Determine w, given that l(w) = 0.
-1, -1/2, 0, 1
Let u(l) be the first derivative of -512/3*l - 58/3*l**4 + 64/3*l**2 - 2/9*l**6 + 352/9*l**3 + 113 + 52/15*l**5. Suppose u(j) = 0. What is j?
-1, 2, 4
Suppose -4*n - 3*z + 128 + 44 = 0, 5*n + 5*z = 210. Let k = n + -31. Suppose -2*m**5 - 3*m**5 - 7*m**2 + 12*m**2 - 8*m**3 - 7*m**3 + k*m**4 = 0. Calculate m.
0, 1
Let y(h) be the second derivative of -h**5/690 + h**4/276 + 2*h**3/69 - 5*h**2/2 + 38*h - 2. Let w(o) be the first derivative of y(o). Let w(l) = 0. What is l?
-1, 2
Factor -4*r**5 - 1359*r**3 + 1362*r**3 - r + r**2 + r**2 - 4*r**4.
-r*(r + 1)**2*(2*r - 1)**2
Let l(w) = w**2 + w - 27. Let o be l(-6). Factor 0*v**3 + 0*v**3 - 4*v + 8*v**o - 4*v**5.
-4*v*(v - 1)**2*(v + 1)**2
Factor -812*y**2 - 4*y**3 + 37 + 337*y**2 - 2693 - 173*y**2 + 2640*y.
-4*(y - 2)**2*(y + 166)
Let 8 - 1 - 4*g**3 - 124*g**2 - 7 - 140*g**2 = 0. Calculate g.
-66, 0
Suppose 0 = -105*j + 83*j + 88. Let v(r) be the third derivative of -28*r**2 + 1/21*r**j + 0 + 0*r + 0*r**3 + 1/840*r**6 - 1/70*r**5. Find b such that v(b) = 0.
0, 2, 4
Let l(a) be the third derivative of -9*a**8/896 + 3*a**7/35 - 43*a**6/320 - a**5/5 + 13*a**4/16 - a**3 - 2107*a**2. Let l(s) = 0. What is s?
-1, 2/3, 1, 4
Let a(z) be the third derivative of z**8/84 - 4*z**7/15 + 73*z**6/30 - 56*z**5/5 + 24*z**4 + 2*z**2 + 60*z. Factor a(k).
4*k*(k - 4)**2*(k - 3)**2
Let m be 1 + (-3)/5 + ((-2805)/450)/17. Let q(z) be the second derivative of 1/21*z**7 - m*z**5 + 0*z**3 + 5*z + 4/45*z**6 + 0*z**2 + 0 - 1/9*z**4. Factor q(h).
2*h**2*(h + 1)**2*(3*h - 2)/3
Let d(m) be the first derivative of 5*m**3 - 3/4*m**4 + 0*m**2 + 0*m - 67. Factor d(f).
-3*f**2*(f - 5)
Solve 22/3*s**2 + 2/9*s**3 - 124/3*s + 304/9 = 0 for s.
-38, 1, 4
Suppose 0 = -10*w + 9*w - k + 115, -w + 3*k + 103 = 0. Factor -52*f**3 + 22*f - 324*f**5 - 2*f + w*f**2 - 504*f**4 - 36*f.
-4*f*(f + 1)**2*(9*f - 2)**2
Let s = 389053/13 + -29927. Suppose 2/13*x - 24/13 + s*x**2 = 0. Calculate x.
-4, 3
Let s = -4001/148 + 2093/74. Determine i so that 0 + 1/4*i**4 + i**2 + s*i**3 + 0*i = 0.
-4, -1, 0
Let b(u) = 2*u - 20. Let o be b(12). Suppose -9*z + o*z = 0. Let -3*p**3 + p**3 + z*p + 8*p**2 - 7*p + p = 0. What is p?
0, 1, 3
Let v(h) be the second derivative of -16/27*h**3 + 3 + 35*h + 1/27*h**4 - 2*h**2. Factor v(p).
4*(p - 9)*(p + 1)/9
Suppose -r + 57 = 4*i, 20*r - 5*i = 16*r + 60. Let h(d) be the third derivative of 0*d**3 - r*d**2 + 0*d + 0 + 1/100*d**5 + 1/40*d**4. Factor h(n).
3*n*(n + 1)/5
Let c = 3019833/8 + -377479. Factor 1/4*h**3 + 1/4*h**2 - 1/8 - 1/8*h**4 - 1/8*h**5 - c*h.
-(h - 1)**2*(h + 1)**3/8
Let k be -4 - (4860/(-390) + 6). Determine i, given that 192/13*i**2 - 6/13*i**5 + k - 136/13*i**3 + 46/13*i**4 - 128/13*i = 0.
2/3, 1, 2
Suppose -3*g + 36 = -d, 2*g + 5*d = 6*d + 25. Let w(s) = s**3 - 12*s**2 + 10*s + 13. Let t be w(g). Factor -2/9*v**t - 4/9*v - 2/9.
-2*(v + 1)**2/9
Let h(i) = -i**3 + 17*i + 44. Let l be h(0). Suppose l = 9*k + 8. Factor -2/5*n**k - 6/5*n**2 - 6/5*n**3 - 2/5*n + 0.
-2*n*(n + 1)**3/5
Let b be 23184/952 - 24 - 42/(-170). Solve 3/5*a**4 + 0*a + 0 + 3/5*a**3 - 3/5*a**2 - b*a**5 = 0.
-1, 0, 1
Let i(l) = -25*l**2 + 10464*l - 2990. Let x(f) = 76*f**2 - 31388*f + 8968. Let o(h) = -8*i(h) - 3*x(h). Find z such that