4*q**4. Factor r(o).
3*(o - 1)**2*(o + 1)**3/2
Let a(j) be the first derivative of j**4/3 - 8*j**2 - 3*j - 8. Let c(z) be the first derivative of a(z). Suppose c(x) = 0. What is x?
-2, 2
Let a(i) be the third derivative of -1/69*i**4 - 1/115*i**7 + 0*i**3 + 0*i + 0 - 4/115*i**5 + 21*i**2 - 1/966*i**8 - 37/1380*i**6. Let a(v) = 0. Calculate v.
-2, -1, -1/4, 0
Let i(c) be the second derivative of 0*c**2 + 1/18*c**4 - 1/18*c**5 + 2/27*c**3 + 0 + 18*c. Suppose i(h) = 0. What is h?
-2/5, 0, 1
Let l(o) = 2*o**3 + 75*o**2 + 8*o - 80. Let j(k) = 3*k**3 + 150*k**2 + 15*k - 159. Let b(t) = -5*j(t) + 9*l(t). Factor b(w).
3*(w - 25)*(w - 1)*(w + 1)
Let y = -36 - -36. Let q be y*2*(-2)/(-16). Factor 15/7*o**4 + q + 0*o + 9/7*o**3 - 6/7*o**2.
3*o**2*(o + 1)*(5*o - 2)/7
Let g(r) be the third derivative of -r**8/1848 - 4*r**7/1155 - r**6/165 - 6*r**2 - 4. Solve g(q) = 0.
-2, 0
Let u(c) be the third derivative of -1/14*c**7 + 0*c**3 - 1/24*c**6 + 5/12*c**4 + 0 - 5/336*c**8 + 12*c**2 + 1/4*c**5 + 0*c. Find w, given that u(w) = 0.
-2, -1, 0, 1
Solve -27/5 + 3/5*r**3 + 9/5*r + 3*r**2 = 0.
-3, 1
Let f(t) be the third derivative of 3/8*t**4 + 0*t**5 + 23*t**2 - 1/40*t**6 + 0 + 0*t + t**3. Let f(d) = 0. Calculate d.
-1, 2
Let x(v) be the third derivative of v**6/720 + 193*v**5/120 + 37249*v**4/48 + 7189057*v**3/36 + 3*v**2 + 6. Factor x(m).
(m + 193)**3/6
Let a be -1 - 74/18 - -2*21/7. Factor -2/9*c**2 + a*c - 8/9.
-2*(c - 2)**2/9
Let h be (-2)/(70/5803) + (-1)/5. Let x = 1828/11 + h. Factor -4/11 + 2/11*a**2 + x*a.
2*(a - 1)*(a + 2)/11
Let h = 709 - 705. Let r(d) be the third derivative of -10*d**2 + d**3 + 0*d + 0 - 1/3*d**h + 1/30*d**5. Factor r(z).
2*(z - 3)*(z - 1)
Suppose 6*l + 6 = 18. Factor w**4 - 3*w**3 - 6*w**5 + 4*w + 7*w**5 - 3*w**4 + 4*w**l.
w*(w - 2)**2*(w + 1)**2
Suppose -3*b = -8*b + 840. Let l = -834/5 + b. Factor 8/5*f + l + 2/5*f**2.
2*(f + 1)*(f + 3)/5
Let i = 525 - 28349/54. Let y(q) be the second derivative of -i*q**4 - 2/9*q**2 - 5*q + 0 - 1/9*q**3. Suppose y(h) = 0. What is h?
-2, -1
Let n be (-2 - 10/(-2)) + -1. Let z = 395/21 + -127/7. Factor 1/3 - z*d + 1/3*d**n.
(d - 1)**2/3
Let g(t) = -1. Let h(b) = b**2 - 12. Let c be (-4 + 1)/(21/(-434)). Suppose 3*p + 103 - 33 = -u, u = 3*p + c. Let k(f) = p*g(f) + 2*h(f). Factor k(s).
2*(s - 1)*(s + 1)
Find v such that -30/7*v**4 + 0*v**2 + 0*v + 0 - 12*v**3 + 6/7*v**5 = 0.
-2, 0, 7
Let f be 4 + (0 - 2) - (-2)/(-2). Let o be ((-14)/12)/(f/(-8)). Factor -8/3*l + 3*l**4 - 10*l**3 + 0 + o*l**2.
l*(l - 2)*(3*l - 2)**2/3
Let t be (74/4 - 2) + (-5)/(-10). Suppose t*h - 6 = 15*h. Suppose l + 1/4*l**4 + 1/4 + l**h + 3/2*l**2 = 0. What is l?
-1
Let n(y) = y**3 + 11*y**2 + 34*y + 27. Let l be n(-6). Let k(x) be the second derivative of 0*x**l - 7*x + 0 + 1/3*x**4 - 8*x**2. Find g such that k(g) = 0.
-2, 2
Suppose 38 = -14*h - 32. Let p(q) = q**2 - 6*q + 6. Let a(w) = w**2 - 6*w + 5. Let y(m) = h*p(m) + 6*a(m). Find n such that y(n) = 0.
0, 6
Let r = -2/8049 + 5368/8049. What is x in 2/9*x**2 - 8/9*x + r = 0?
1, 3
Let k(r) be the second derivative of r**7/20160 - r**6/480 + 3*r**5/80 - r**4/3 + 19*r. Let n(g) be the third derivative of k(g). Let n(f) = 0. What is f?
6
Let y be 96/(-32)*-5*(-4)/(-240). Suppose 0 = -2*h - r + 3, 3*h + 4*r = 4*h - 6. Let -y*w - 1/4*w**h + 0 = 0. Calculate w.
-1, 0
Factor -2*q - 20*q**3 + 43*q + 24*q**2 - 12*q**4 - 9*q.
-4*q*(q + 1)*(q + 2)*(3*q - 4)
Let d = 81 - 129. Let z be 16/d*(-3)/2. Determine g so that z*g**3 + 0 + 1/2*g - g**2 = 0.
0, 1
Factor -152 + 181 + 6*l**3 - 105*l - l**3 - 10*l**2 - 119.
5*(l - 6)*(l + 1)*(l + 3)
Let d(m) = m**4 - m**2 + m. Suppose -10*x = -14*x + 88. Let y(t) = -12*t**4 + 2*t**3 + 12*t**2 - 13*t. Let c(o) = x*d(o) + 2*y(o). Let c(f) = 0. What is f?
-1, 0, 1, 2
Let -49 + 19*a**2 + 4*a**2 - 22*a**2 = 0. What is a?
-7, 7
Let w(k) = 4*k**3 - 44*k**2 + 9*k + 3. Let d(v) = 3*v**3 - 44*v**2 + 6*v + 2. Let n(j) = 3*d(j) - 2*w(j). Factor n(a).
a**2*(a - 44)
Let u(j) be the second derivative of 1/70*j**5 + 1/7*j**2 + 0 + 1/14*j**4 + 14*j + 1/7*j**3. Factor u(l).
2*(l + 1)**3/7
Factor -9/2*h + 1/4*h**2 + 0.
h*(h - 18)/4
Let c(i) = -i. Let h be c(-5). Suppose a - h = -3. Factor 8 - 5 - 5*k**a + 3*k**4 + k**2 - 2*k**2.
3*(k - 1)**2*(k + 1)**2
Let m(z) be the first derivative of z**3 + 168*z**2 + 9408*z - 91. Factor m(c).
3*(c + 56)**2
Let p(j) be the first derivative of -2/27*j**3 - 1/54*j**4 + 5*j + 1 + 0*j**2. Let q(n) be the first derivative of p(n). Factor q(g).
-2*g*(g + 2)/9
Suppose 494*i - 60*i = 868. Find r such that 0 - 4/3*r**i - 1/3*r**3 + 5/3*r = 0.
-5, 0, 1
Let p = 97 - 91. Factor 153 + q**3 + 10*q**2 - p*q**3 - 153.
-5*q**2*(q - 2)
Factor 24/5*p**2 + 12/5*p**4 + 8/5*p + 0 + 2/5*p**5 + 26/5*p**3.
2*p*(p + 1)**2*(p + 2)**2/5
Let 72*h**2 + 0*h**3 + 4*h - 4*h**3 + 22 - 121 + 27 = 0. Calculate h.
-1, 1, 18
Let j be (-7 + 6)*(1 - 1). Suppose -3*v + 4*v = j. Factor 6*g**3 + 2 - 2*g**3 - 4*g**4 + 2*g**4 - 4*g + v*g.
-2*(g - 1)**3*(g + 1)
Let f = -94 + 664/7. Factor 2/7*b**3 - f*b**2 - 2/7 + 6/7*b.
2*(b - 1)**3/7
Let l(r) be the first derivative of r**7/56 - r**6/10 + 9*r**5/40 - r**4/4 + r**3/8 + 5*r**2 - 5. Let w(j) be the second derivative of l(j). Factor w(h).
3*(h - 1)**3*(5*h - 1)/4
Suppose -2*f - 2 = 0, 2*w - 19*f - 299 = -20*f. Suppose -40*o + 625/2*o**3 - w*o**2 - 625/4*o**4 + 32 = 0. Calculate o.
-2/5, 4/5
Let o be (-18)/(4 + -2) - -1. Let w = o + 12. Determine l so that 2 + 15*l + 4 - w*l**4 + 6*l**2 - 8*l**4 - 12*l**3 - 3*l**5 = 0.
-2, -1, 1
Factor 1/4*l**4 + 0 + 21/2*l**2 + 0*l + 43/4*l**3.
l**2*(l + 1)*(l + 42)/4
Let g(j) = 386*j - 2316. Let w be g(6). Factor 2/15 + w*t**2 - 4/15*t + 4/15*t**3 - 2/15*t**4.
-2*(t - 1)**3*(t + 1)/15
Suppose 0 = 9*y - 73 - 35. Let b(f) be the second derivative of 0 + 0*f**2 - y*f - 1/12*f**4 - 1/6*f**3. Factor b(p).
-p*(p + 1)
Let l(x) be the first derivative of 0*x**2 - 1/15*x**5 + 7 - 1/3*x**4 + 0*x + 4/9*x**3 + 1/18*x**6. Factor l(s).
s**2*(s - 2)*(s - 1)*(s + 2)/3
Let c(y) be the first derivative of -5*y**6/2 - 222*y**5/5 - 3027*y**4/20 + 464*y**3/5 + 1146*y**2/5 + 528*y/5 + 949. What is g in c(g) = 0?
-11, -4, -2/5, 1
Let w = -21 - -23. Find n, given that 41*n + 43*n - 81*n + 2*n**2 + n**3 + 3*n**w - 9 = 0.
-3, 1
Suppose 0*m - 2*u + 237 = -5*m, 0 = -m + 2*u - 41. Let g = -137/3 - m. Factor 14*p**2 + g*p**4 + 4/3 + 22/3*p + 34/3*p**3.
2*(p + 1)**3*(5*p + 2)/3
Determine d so that -834*d**2 + 417*d**2 + 417*d**2 + 16*d**3 + d**5 + 17*d**4 = 0.
-16, -1, 0
Let q(b) = 30*b**4 - 155*b**3 + 240*b**2 - 25. Let g(x) = -5*x**4 + 26*x**3 - 40*x**2 + 4. Let j(d) = -25*g(d) - 4*q(d). Determine f, given that j(f) = 0.
0, 2, 4
Let r(v) = 8*v**4 - 22*v**3 - 2*v**2 + 32*v + 16. Let n(k) = 23*k**4 - 65*k**3 - 6*k**2 + 97*k + 48. Let d(g) = -4*n(g) + 11*r(g). Let d(q) = 0. Calculate q.
-1, -1/2, 2, 4
Let x(q) be the first derivative of 1/42*q**4 + 0*q**2 + 2/21*q**3 + 5*q - 2. Let a(k) be the first derivative of x(k). Factor a(v).
2*v*(v + 2)/7
Let p(s) = s**2 + s + 3. Let j(q) = 1. Let x(v) = -3. Let f(o) = 2*j(o) + x(o). Let t(n) = -3*f(n) - p(n). Solve t(k) = 0 for k.
-1, 0
Suppose 4*k + 8 = 8*k. Factor -4*s**2 - k*s**4 + s - 190*s**3 + 189*s**3 + 6*s**4.
s*(s - 1)*(s + 1)*(4*s - 1)
Suppose -1 = n + 3. Let f be (532/(-35))/n + -2. Factor -9/5*a**2 + f*a - 3/5 + 3/5*a**3.
3*(a - 1)**3/5
Let s(d) = -407*d + 1221. Let c be s(3). Factor 2/7*m**4 + 0*m + c + 0*m**2 - 4/7*m**3.
2*m**3*(m - 2)/7
Let l(i) = -2*i**2 - 12*i + 14. Let q(x) = -x**2 - 12*x + 13. Let j(c) = -3*l(c) + 2*q(c). Let j(a) = 0. What is a?
-4, 1
Let o(q) = 2*q**3 + 6*q**2 + q + 3. Let t be o(-3). Solve -1/8*g**4 + 1/8*g**3 + 1/8*g**2 + t - 1/8*g = 0.
-1, 0, 1
Let x(j) be the first derivative of 3*j + 3 + 1/4*j**3 + 3/2*j**2. Factor x(s).
3*(s + 2)**2/4
Let c(f) = f + 2. Let z be c(2). Suppose 0 = 7*b - 12*b + 15. Factor k**z + 0*k**4 + b*k + 9*k**2 + 9*k**3 + 2*k**4 + 0*k**3.
3*k*(k + 1)**3
Determine b, given that -60*b**5 - 290*b**2 - 126*b**2 - 272*b**3 - 64 - 84*b**4 + 50*b**5 - 288*b = 0.
-2, -2/5
Let n = -11 - -15. Let a(j) be the second derivative of 2/15*j**3 + 3*j + 0 - 1/5*j**2 - 1/30*j**n. Let a(v) = 0. Calculate v.
1
Factor -499*s - 96*s**3 + 6*s**4 + 545 - 1216*s + 1244*s**2 - 493*s + 513 - 4*s**4.
2*(s - 23)**2*(s - 1)**2
Suppose 87/7*n**2 + 3/