= 0.
-3, 3
Let t(z) = z**3 - 9*z**2 + 21*z. Let y be t(6). Let v be (-37)/(-45) - 1/(y/4). Factor -18/5*h**3 - v*h - 3/5*h**5 - 12/5*h**2 + 0 - 12/5*h**4.
-3*h*(h + 1)**4/5
Let c(b) be the third derivative of -b**8/504 + b**7/45 + 2*b**6/45 - 137*b**2. Factor c(o).
-2*o**3*(o - 8)*(o + 1)/3
Let l(n) be the third derivative of n**5/80 + 3*n**4/8 - 7*n**3/2 + 11*n**2. Factor l(o).
3*(o - 2)*(o + 14)/4
Let d = 123 - 91. Let a be (1 + (-8)/d)*(-8)/(-10). Determine b, given that 2/5*b**3 + 3/5*b**2 - a*b**4 - 2/5*b + 0 = 0.
-1, 0, 2/3, 1
Find a such that -4*a**2 - 119*a + 255*a + 8*a**2 = 0.
-34, 0
Let c(y) be the first derivative of y**4/10 - 4*y**3/5 + 8*y**2/5 - 28. Factor c(m).
2*m*(m - 4)*(m - 2)/5
Suppose 0 = 4*b - a - 29, -3*a + 7*a = -4*b + 4. Factor -b*x - 2*x - 71*x**2 + 25 + 72*x**2 - 2*x.
(x - 5)**2
Suppose -h - u - 3 = 0, 2*u - 9 = 6*h + 5*u. Let o(r) be the first derivative of -5 + 2/7*r**4 + 2/35*r**5 + h*r + 8/21*r**3 + 0*r**2. Factor o(b).
2*b**2*(b + 2)**2/7
Let l = 15 - 10. Let h(o) = 2*o**2 - 2*o - 9. Let n(y) = 0 - 2 + 5 - 2. Let u(i) = l*n(i) + h(i). Factor u(s).
2*(s - 2)*(s + 1)
Let u = -143 - -146. Suppose -3*z = 2*c - 10, -u*c = -5*c - 5*z + 14. Solve -1/7*p**4 - 256/7 - 96/7*p**c - 256/7*p - 16/7*p**3 = 0 for p.
-4
Let v(k) = k**4 - k**3 + 2*k**2. Let r(i) = 24*i**3 - 12*i**2 - 48*i. Let m(n) = -r(n) + 3*v(n). Factor m(p).
3*p*(p - 8)*(p - 2)*(p + 1)
Suppose 0 = -3*p + 7*p. Suppose -2*t + 6*t - 28 = p. Let -23 + t*b**2 - 2*b + 23 = 0. Calculate b.
0, 2/7
Let q be (-7)/(-12)*-3*1 - -2. Let b(d) be the first derivative of -q*d**2 + 2 + 1/6*d**3 - d. Factor b(y).
(y - 2)*(y + 1)/2
Let q(s) be the third derivative of -1/60*s**5 + 1/12*s**4 + 4*s**2 - 1/6*s**3 + 0*s + 0. Factor q(o).
-(o - 1)**2
Factor 4/3*r**3 - 8 + 16/3*r**2 + 4/3*r.
4*(r - 1)*(r + 2)*(r + 3)/3
Let 0 + 26/5*f**3 - 2/5*f**4 + 2/5*f**2 - 26/5*f = 0. Calculate f.
-1, 0, 1, 13
Let d be (-10*(5 - 4))/(-2). Factor d*n + 20*n**4 - n**5 - 2348 + 2348 + 6*n**5 + 20*n**2 + 30*n**3.
5*n*(n + 1)**4
Let j = -17 + 20. Let 10*l**3 + 4*l + 6*l**j - 20*l**3 = 0. What is l?
-1, 0, 1
Let p(g) be the first derivative of 3*g**5/10 - 9*g**4/2 + 11*g**3/2 + 918. Factor p(b).
3*b**2*(b - 11)*(b - 1)/2
Let g(x) be the third derivative of x**8/560 - x**7/420 - x**6/120 + x**5/60 + 5*x**3/3 - 29*x**2. Let i(t) be the first derivative of g(t). Factor i(a).
a*(a - 1)*(a + 1)*(3*a - 2)
Let o(p) = -p**4 + 2*p**3 - 1. Let u(r) = 9*r**4 + 600*r**3 + 142296*r**2 + 14609056*r + 562448664. Let c(z) = -40*o(z) - 5*u(z). Factor c(g).
-5*(g + 154)**4
Let y(o) be the first derivative of 11*o**3/30 - 23*o**2/20 + o/5 - 55. Factor y(h).
(h - 2)*(11*h - 1)/10
Let x(i) be the third derivative of 0*i**3 + 1/150*i**5 - 1/300*i**6 + 1/30*i**4 + 0*i + 0 + 20*i**2. Suppose x(q) = 0. What is q?
-1, 0, 2
Let g(h) be the first derivative of h**3 + 174*h**2 - 351*h - 891. Suppose g(x) = 0. Calculate x.
-117, 1
Let n = -2282 + 9131/4. Factor -1/4*t**2 + t - n.
-(t - 3)*(t - 1)/4
Let p(g) = -44*g**2 - 252*g + 550. Let f(o) = -5*o**2 - 28*o + 61. Let z(a) = 52*f(a) - 6*p(a). Solve z(n) = 0.
-16, 2
Suppose 1025/3*k**3 + 710*k**2 + 1180/3*k + 200/3 - 125/3*k**4 = 0. Calculate k.
-1, -2/5, 10
Let t(a) be the second derivative of 0*a**4 + 0 - 8*a + 0*a**6 + 0*a**2 + 0*a**3 + 1/147*a**7 + 0*a**5. Solve t(v) = 0.
0
Let m be (-30)/25*20/(-6). Suppose 0 = m*y - 2*y - 4. Find j, given that -133*j**4 + 6*j**3 - j**5 - y*j + 21*j**4 + 97*j**5 + 12*j**2 = 0.
-1/3, 0, 1/4, 1
Let m(d) = 46*d - 1470. Let u be m(32). Suppose -20/7*r**u + 6/7*r + 0*r**3 + 0 + 20/7*r**4 - 6/7*r**5 = 0. What is r?
-1, 0, 1/3, 1, 3
Let y(f) be the first derivative of -5/2*f**2 - 15/2*f**3 - 9/2*f**5 - 35/4*f**4 - 5/6*f**6 + 28 + 0*f. Suppose y(s) = 0. What is s?
-2, -1, -1/2, 0
Let y(l) = 67*l**2 + 39*l - 16. Let x(u) = -132*u**2 - 79*u + 31. Let p(v) = -6*x(v) - 11*y(v). Factor p(c).
5*(c + 1)*(11*c - 2)
Let c(d) = -6*d**4 + 17*d**3 + 12*d**2. Let y(h) = -15 + 6*h**3 - 2*h**4 + 15 + 4*h**2. Suppose 3*a + 55 = 8*a. Let f(m) = a*y(m) - 4*c(m). Factor f(r).
2*r**2*(r - 2)*(r + 1)
Let j(p) be the third derivative of p**5/40 + 135*p**4/16 + 3*p**2 - 13. Let j(r) = 0. Calculate r.
-135, 0
Let u be 4 + -2 - (0 - 1). Suppose 23 = 4*i - 3*l, -4*i - 4*l + 3*l = -u. Factor -5*h**2 - 4*h**3 - 2*h**3 + 6*h**i + 7*h**3.
h**2*(h + 1)
Let m(h) = h**2. Let y(p) be the third derivative of 0*p - 3/20*p**5 + 3/4*p**4 + 9/2*p**3 + 2*p**2 + 0. Let q(t) = -12*m(t) - y(t). Factor q(g).
-3*(g + 3)**2
Let w(r) be the third derivative of -r**6/540 - 7*r**5/90 - 19*r**4/54 - r**2 + 305*r. Determine b so that w(b) = 0.
-19, -2, 0
Let r(c) be the first derivative of c**6/120 + c**5/60 + c**2 - 3. Let i(j) be the second derivative of r(j). Factor i(p).
p**2*(p + 1)
Let r(v) be the third derivative of -v**5/15 + 19*v**4/6 + 42*v**2. What is c in r(c) = 0?
0, 19
Let y(i) be the first derivative of i**4 + 4*i**3 - 20*i**2 - 96*i + 4. Factor y(m).
4*(m - 3)*(m + 2)*(m + 4)
Let s(v) be the third derivative of 0*v + 1/360*v**5 + 0*v**4 + 0*v**3 + 0 - 1/1260*v**7 + 0*v**6 + 10*v**2. Factor s(g).
-g**2*(g - 1)*(g + 1)/6
Let a be 9 - (-10)/4*(-24)/(-20). Let p(d) = 4*d**2 + 49*d + 45. Let n(x) = -10*x**2 - 122*x - 112. Let u(k) = a*p(k) + 5*n(k). Find b, given that u(b) = 0.
-10, -1
Let w be -14*17/((-3213)/18). Solve -4 - 16/3*d - w*d**2 = 0.
-3, -1
Let f be (88/(-14) - -2)/(-1 + 0). Let x = 1784/21 - f. Solve -8/3 - x*z**2 - 88/3*z = 0.
-2/11
Let w be 86/(1 - (-230)/30 - 8). Determine t, given that 231/2*t**4 - 6 - 24*t + 51/2*t**2 + 30*t**5 + w*t**3 = 0.
-2, -1, -1/4, 2/5
Find g, given that -8/13*g**2 + 2/13*g**3 + 0 + 0*g = 0.
0, 4
Let l = -896 - -896. Factor 0*f + 2/3*f**2 + l.
2*f**2/3
Let k be (5/15)/((-1)/(-6)). Suppose 14 = 2*u - k*n, 2*n = 3*u + 5*n - 27. Find t, given that -1 + u*t + 1 - 12*t**2 + 4*t**3 + 0*t**3 = 0.
0, 1, 2
Let w(v) be the second derivative of v**4/12 - 8*v**2 - 2*v + 28. Suppose w(b) = 0. What is b?
-4, 4
Let h = 7 + -4. Suppose -5*w = -p - 3*p + 6, -2*w = -h*p + 8. Suppose 8*x**w - x - 2*x + x + 10*x**3 = 0. What is x?
-1, 0, 1/5
Suppose -6*s - 12 = -9*s. Suppose -2*m + 3*j = -1, -5 = -2*m - s*j + 3. Solve m + 10*o + 25/2*o**2 = 0.
-2/5
Let v(c) be the second derivative of 1/105*c**6 - 2/21*c**3 + 0*c**2 - 1/147*c**7 + 9 - 1/42*c**4 + 3/70*c**5 - c. Suppose v(n) = 0. What is n?
-1, 0, 1, 2
Let o = -37 + 40. Factor 15*y**4 - 18*y**3 + 33*y**3 + 10*y - 25*y**2 - 10*y**3 - 25*y**o.
5*y*(y - 2)*(y + 1)*(3*y - 1)
Let y(t) be the first derivative of -t**6/7 + 34*t**5/35 - 37*t**4/14 + 26*t**3/7 - 20*t**2/7 + 8*t/7 + 16. Determine f, given that y(f) = 0.
2/3, 1, 2
Let b(u) = u**3 + 5*u**2 - 22*u - 96. Let x be b(-6). Let g = -72 - -75. Determine v, given that 0*v**g + x*v + 0*v**2 - 2/7*v**4 + 0 = 0.
0
Suppose 7*i + 180 = 13*i. Let b be -2 - -3 - (-6)/i. Factor 0*h + 3/5*h**4 + b*h**2 + 9/5*h**3 + 0.
3*h**2*(h + 1)*(h + 2)/5
Let y(a) = -a**3 + 5*a**2 - 2*a - 4. Let l(i) = 2*i - 20. Let t be l(12). Let d(c) = -c**2 + c + 1. Let z(u) = t*d(u) + y(u). Factor z(j).
-j*(j - 2)*(j + 1)
Let f(t) be the second derivative of -t**7/84 - 9*t**6/20 - 53*t**5/10 - 20*t**4/3 + 200*t**3 - 500*t**2 - 5*t - 24. Factor f(v).
-(v - 2)*(v - 1)*(v + 10)**3/2
Let i(t) = -27*t**4 - 206*t**3 - 517*t**2 - 360*t + 110. Let w(x) = 2*x**3 + x**2 + 1. Let u(o) = i(o) - 2*w(o). Suppose u(d) = 0. Calculate d.
-3, -2, 2/9
Let c(f) be the second derivative of -f**5/40 - 5*f**4/24 + f**3/12 + 5*f**2/4 + 74*f. Suppose c(n) = 0. Calculate n.
-5, -1, 1
Let o(s) = -2*s**3 + s - 2. Let t(k) = -k**4 - 2*k**3 - 18*k**2 - 3*k + 33. Let n(j) = 3*o(j) + t(j). Factor n(w).
-(w - 1)*(w + 3)**3
Suppose 521*k**5 - 4389*k**2 - 7440*k**4 + 16336*k**3 + 379*k**5 + 421*k**2 + 256*k = 0. What is k?
0, 2/15, 4
Let q = -33643/2 - -16822. Solve -3*u - q*u**2 - 9/2 = 0 for u.
-3
Let q(a) be the third derivative of a**7/1890 + a**6/1080 - a**5/270 + a**2 - 27. Factor q(i).
i**2*(i - 1)*(i + 2)/9
Factor 96*a**2 - 145*a**5 + 40*a**4 + 76*a**5 + 74*a**5 - 6*a**2 + 105*a**3.
5*a**2*(a + 2)*(a + 3)**2
Let f(b) = b**2 - 14*b + 5. Let y be f(0). Let g(w) be the third derivative of -1/180*w**6 - 5/12*w**4 - y*w**2 + 7/90*w**5 + w**3 + 0*w + 0. Factor g(i).
-2*(i - 3)**2*(i - 1)/3
Let q(f) be the second derivative of -f**4/