3. Solve r(j) = 0.
-6, 0
Let x(c) = 10*c**2 + 1354*c - 912. Let t(h) = 21*h**2 + 2707*h - 1825. Let d(a) = 8*t(a) - 18*x(a). Suppose d(j) = 0. Calculate j.
-227, 2/3
Let s(j) = -j + 14. Let w be s(-6). Factor -10 - 68*v + w*v + 798*v**3 - 810*v**3 + 70*v**2.
-2*(v - 5)*(v - 1)*(6*v + 1)
Let j = -1926 - -1930. Let t(r) be the second derivative of -2*r + 1/24*r**6 - 1/10*r**5 + 1/12*r**j + 0*r**2 + 0 - 1/168*r**7 + 0*r**3. Factor t(q).
-q**2*(q - 2)**2*(q - 1)/4
Suppose 4*b = 2*y - 5*y + 36, -37 = -5*y + b. Let f be (2/(-5))/((-1)/5). Factor -5*s**f - y + 0 - 19*s + 7*s + s**2.
-4*(s + 1)*(s + 2)
Let l(o) = 49*o**3 - 49*o**2 - 624*o + 32. Let x(p) = 48*p**3 - 47*p**2 - 631*p + 36. Let u(c) = 3*l(c) - 2*x(c). Determine s so that u(s) = 0.
-3, 2/51, 4
Let a(m) be the first derivative of m**4/12 - 8*m**3/3 - 57*m**2/2 - 90*m + 281. Solve a(k) = 0.
-3, 30
Determine r, given that 2/5*r**3 - 32/5*r**2 - 38/5*r + 68/5 = 0.
-2, 1, 17
Let j(o) be the first derivative of 12*o**3 - 736*o**2 - 164*o - 7946. Solve j(i) = 0.
-1/9, 41
Factor -32/5*z**2 - 13/5*z**3 + 0 - 4*z - 1/5*z**4.
-z*(z + 1)*(z + 2)*(z + 10)/5
Let m = -470844 + 470846. Determine s so that 8/3 - 6*s**m - 7/3*s**3 + 28/3*s + 4/3*s**4 = 0.
-2, -1/4, 2
Let r be (-3 - -2)*114/12 + 12. Let g(f) be the first derivative of -18 + 1/12*f**3 - 7/8*f**2 + r*f. Factor g(w).
(w - 5)*(w - 2)/4
Suppose 3*f - 413 = 5*m + f, 0 = m - 3*f + 80. Let i = -81 - m. Factor 49*b**i - 31*b**2 - 2*b**3 - 22*b**2 + 2*b + 4.
-2*(b - 1)*(b + 1)*(b + 2)
Let a(z) be the second derivative of z**5/30 - 3*z**4 - 55*z**3/9 - 1025*z. Factor a(o).
2*o*(o - 55)*(o + 1)/3
Let k(a) be the second derivative of 0 - 12*a + 1/78*a**4 - 28/13*a**2 + 1/13*a**3. Factor k(o).
2*(o - 4)*(o + 7)/13
Let u(n) be the first derivative of n**6/30 - 231*n**5/25 + 2691*n**4/4 - 2645*n**3/3 + 1342. Solve u(h) = 0.
0, 1, 115
Let y(h) be the second derivative of h**4/30 + 22*h**3/15 + 8*h**2 - 35*h - 2. Determine m so that y(m) = 0.
-20, -2
Let i(d) be the second derivative of 5*d**7/84 + 61*d**6/4 + 8643*d**5/8 + 124205*d**4/24 + 10200*d**3 + 10125*d**2 - 8520*d. Factor i(n).
5*(n + 1)**3*(n + 90)**2/2
Let g(r) be the third derivative of 97/30*r**5 + 64/3*r**3 - r + 3/10*r**6 - 4*r**2 + 0 + 12*r**4 + 1/105*r**7. Factor g(t).
2*(t + 1)**2*(t + 8)**2
Let y = 16313 - 16311. Factor -8/5*q - 8/5 - 2/5*q**y.
-2*(q + 2)**2/5
Let y(t) be the third derivative of 11/735*t**7 + 8/35*t**5 + 0*t**4 + 233*t**2 + 2/21*t**6 + 0 + 0*t**3 + 1/1176*t**8 + 0*t. Factor y(k).
2*k**2*(k + 3)*(k + 4)**2/7
Let h(f) be the second derivative of 15/2*f**2 + 25/12*f**4 - 1/4*f**5 - 35/6*f**3 + 0 - 164*f. Find x such that h(x) = 0.
1, 3
Suppose -188183524/5 - 1563852/5*m - 4/5*m**3 - 4332/5*m**2 = 0. Calculate m.
-361
Suppose 165542 - 3085*b + 1020*b + 1983614 + 4*b**2 + 404*b - 4203*b = 0. Calculate b.
733
Factor 54 + 533*m**2 + 513 - 821*m**2 + 1071 + 3*m**3 + 1347*m.
3*(m - 91)*(m - 6)*(m + 1)
Let x(z) be the second derivative of 43*z**7/28 - 83*z**6/40 - 9*z**5/80 - 1127*z. Find b such that x(b) = 0.
-3/86, 0, 1
Let v(f) = -5*f**4 - 15*f**3 - 8*f**2 + 53*f - 7. Let t(p) = -2*p**4 - 7*p**3 - 5*p**2 + 27*p - 3. Let x(u) = 7*t(u) - 3*v(u). Factor x(j).
j*(j - 5)*(j - 2)*(j + 3)
Let h(d) be the first derivative of -d**6/45 + d**5/15 + d**4/6 + 71*d + 93. Let n(x) be the first derivative of h(x). Find q such that n(q) = 0.
-1, 0, 3
Solve 126*u**2 + 7*u**5 - 15*u**4 - 167*u**3 - 131*u + 687*u + 168 - 288*u**2 + 32*u**4 + 13*u**4 = 0 for u.
-7, -2, -2/7, 2, 3
Let 2553*y**2 + 478*y**3 - 115*y**5 - 1744 + 117*y**5 - 72*y**4 - 480*y + 719*y**2 - 1456 = 0. Calculate y.
-4, -1, 1, 20
Let s = 21188 + -21186. Let a(w) be the first derivative of -3/5*w**3 + 1/25*w**5 + 0*w + 27 + 0*w**s + 2/5*w**4. Factor a(n).
n**2*(n - 1)*(n + 9)/5
Let g(f) be the second derivative of f**4/36 + 1030*f**3/9 + 530450*f**2/3 + f - 1294. Solve g(i) = 0.
-1030
Let x(b) = -4*b**2 - 360*b - 388. Let z(a) = -a**2 - 3. Let o(r) = x(r) - 8*z(r). Let o(y) = 0. What is y?
-1, 91
Suppose -4*o - 4 = -0*o, -c + 2*o + 2 = 0. Suppose -6*v + 22*v = c. Suppose -8*a + 16*a**2 - 13*a**2 - 3 + v = 0. Calculate a.
-1/3, 3
Let v(a) be the third derivative of a**8/672 + a**7/28 - 17*a**6/120 + a**5/60 + 11*a**4/16 - 17*a**3/12 + 116*a**2. Let v(i) = 0. Calculate i.
-17, -1, 1
Suppose -3*t = 1303*i - 1298*i - 50, 0 = 3*t - 3*i + 30. Determine c so that -1/7*c**3 - 1/7*c**4 + t + 0*c + 2/7*c**2 = 0.
-2, 0, 1
Let r(u) = -5*u**2 + 32*u + 54. Let i(k) = 55*k**2 - 350*k - 595. Suppose 3*m + 2*v + 189 = 0, -m = 3*m + v + 257. Let p(y) = m*r(y) - 6*i(y). Factor p(z).
-5*(z - 6)*(z + 2)
What is s in 14*s - 366/19*s**2 - 20/19*s**3 + 0 = 0?
-19, 0, 7/10
Let n(u) be the first derivative of 0*u**4 + 2/3*u**3 - 30 - 4/3*u**2 - 1/15*u**5 + u. Let n(l) = 0. Calculate l.
-3, 1
What is a in -71 - 427*a - 85 + 1105*a + 5*a**2 - 524 - 3*a**2 = 0?
-340, 1
Let b(j) = -j**2 - 9*j + j**4 + 21*j - j**3 - 11*j - 2*j**4. Let o(a) = -6*a**4 + 55*a**3 - 30*a**2 - 13*a. Let p(m) = 6*b(m) + 2*o(m). Solve p(y) = 0 for y.
-2/9, 0, 1, 5
Let z(s) be the second derivative of s**8/1344 - s**7/105 + 11*s**6/480 + s**5/12 + 83*s**2/2 - s - 27. Let w(o) be the first derivative of z(o). Factor w(l).
l**2*(l - 5)*(l - 4)*(l + 1)/4
Factor 672/17*x - 2/17*x**3 + 160/17*x**2 + 0.
-2*x*(x - 84)*(x + 4)/17
Let p(o) be the first derivative of 2*o**3/39 - 248*o**2/13 + 38*o + 527. Factor p(n).
2*(n - 247)*(n - 1)/13
Let r(t) be the third derivative of t**6/120 + 67*t**5/60 - t**4/24 - 67*t**3/6 - 454*t**2 + 5*t. Factor r(a).
(a - 1)*(a + 1)*(a + 67)
Let p(d) be the third derivative of 0*d**3 - 1/180*d**6 + 41*d**2 + 0*d + 0*d**4 + 1/1008*d**8 - 1/630*d**7 + 0 + 0*d**5. Find i such that p(i) = 0.
-1, 0, 2
Let l = -152527 + 457583/3. Let l*f**4 + 2/3*f**3 - 2/3*f**2 + 0 - 2/3*f = 0. What is f?
-1, 0, 1
Let p(l) be the second derivative of -38/3*l**4 - 486/35*l**7 + 148*l - 54/5*l**5 - 10/3*l**3 + 162/5*l**6 - 2 - 2/5*l**2. Solve p(x) = 0.
-1/9, 1
Suppose -2/7*x**3 + 4/7 + 2/7*x**4 - 6/7*x**2 + 2/7*x = 0. What is x?
-1, 1, 2
Suppose 13*p = 26*p - 299. Find f such that 18 + p*f - 38*f - 984*f**2 + 981*f**2 = 0.
-6, 1
Let v(d) be the second derivative of 0*d**2 - 1/9*d**3 + 4*d + 32 - 4/45*d**6 - 4/15*d**5 - 5/18*d**4. What is k in v(k) = 0?
-1, -1/2, 0
Suppose 4*m + 6*x = 3*x + 99, 3*m - 5*x - 96 = 0. Suppose 545*d - m = 536*d. Determine k so that 0 - 1/5*k**d + k**4 - k**2 + 1/5*k = 0.
-1, 0, 1/5, 1
Factor 5/4*w**4 + 0 - 1/4*w**3 + 3*w - 17/4*w**2 + 1/4*w**5.
w*(w - 1)**2*(w + 3)*(w + 4)/4
Factor -5/2*y**2 + 300 - 5*y.
-5*(y - 10)*(y + 12)/2
Suppose -103*j - 38*j = -423. Factor 1/4*u**j + 0*u**2 + 4 - 3*u.
(u - 2)**2*(u + 4)/4
Suppose -95 = -4*w - i, 2*i + 54 + 20 = 3*w. Suppose -w = -11*j + 7*j. Factor -j*q + 9*q**2 - 4*q**4 - 56*q**3 - 5*q**4 + 59*q**3 + 3*q**5.
3*q*(q - 2)*(q - 1)**2*(q + 1)
Let n(z) be the third derivative of -z**7/22680 + 19*z**6/3240 - 361*z**5/1080 - 9*z**4/8 + 2*z**2 + 7. Let b(l) be the second derivative of n(l). Factor b(a).
-(a - 19)**2/9
Factor 232/15*b + 2/15*b**2 + 152/5.
2*(b + 2)*(b + 114)/15
Let s(l) = 2*l**2 + 7*l + 3. Let u be s(2). Factor -u - 4*z + 9*z - z - 92*z**2 - 4*z**3 + 117.
-4*(z - 1)*(z + 1)*(z + 23)
Factor 136*u**2 - 1870*u**4 + 3025/3*u**5 + 2161/3*u**3 + 0 + 16/3*u.
u*(u - 1)**2*(55*u + 4)**2/3
Determine d, given that 23*d**4 + 5*d**5 - 1085*d + 0*d**5 + 172*d**4 + 1085*d + 185*d**2 + 375*d**3 = 0.
-37, -1, 0
Let g(o) be the second derivative of -9*o**6/40 - 9*o**5/16 + 2*o**4 - 3*o**3/2 + 718*o. Suppose g(r) = 0. Calculate r.
-3, 0, 2/3
Let p(t) be the third derivative of -t**7/504 - t**6/144 + t**5/12 - t**4/12 + 14*t**3/3 + 3*t**2 + 3. Let f(x) be the second derivative of p(x). Factor f(h).
-5*(h - 1)*(h + 2)
Solve 56 - 1/2*l**2 + 3*l = 0.
-8, 14
Let w(z) be the first derivative of 7*z**6/30 + 166*z**5/25 + 1107*z**4/20 + 1364*z**3/15 - 242*z**2/5 - 155. Let w(a) = 0. What is a?
-11, -2, 0, 2/7
Let i(t) = 4*t**2 - 35*t + 361. Suppose 3*z - y = 12, 4*z + 0*y = -4*y. Let q(g) = 3*g**2 - 36*g + 361. Let u(n) = z*q(n) - 2*i(n). Factor u(j).
(j - 19)**2
Let r be 1/(30/12) + 69086/(-40). Let b = r - -1728. Factor 7/4*h**2 + 3/4*h**3 + b*h + 1/4.
(h + 1)**2*(3*h + 1)/4
Let q = 4/1069 - -9593/7483. Let h(k) be the first derivati