ive of s**6/30 + 4*s**5/15 + 5*s**4/6 + 4*s**3/3 + 441*s**2. Factor l(x).
4*(x + 1)**2*(x + 2)
Suppose -q + 5*l = -1 - 26, 4*l + 22 = q. Factor 0 - 3/7*x**5 + 3/7*x**q + 0*x + 9/7*x**4 - 9/7*x**3.
-3*x**2*(x - 1)**3/7
Let u(a) be the first derivative of a**5/60 + a**4/18 + a**3/18 + 12*a - 1. Let v(m) be the first derivative of u(m). Suppose v(z) = 0. Calculate z.
-1, 0
Let m(x) = -3*x**3 + 2*x**2 - 3*x. Let h be m(0). Factor 2/7*o**3 + 4/7*o**2 + h*o + 0.
2*o**2*(o + 2)/7
Let x = 145/9 + -142/9. Let c(m) be the first derivative of -1/6*m**6 + 1/5*m**5 + 1/4*m**4 + 7 + 0*m**2 - x*m**3 + 0*m. Factor c(g).
-g**2*(g - 1)**2*(g + 1)
Let x(t) = t**4 + t**2. Let o(s) = 8*s**4 + 4*s**3 + 5*s**2 - 12*s + 9. Let q(g) = 2*o(g) - 14*x(g). Factor q(f).
2*(f - 1)**2*(f + 3)**2
Let l(r) be the second derivative of 5*r**7/21 + 19*r**6/6 + 51*r**5/4 + 295*r**4/12 + 155*r**3/6 + 15*r**2 - 73*r + 3. Factor l(x).
5*(x + 1)**3*(x + 6)*(2*x + 1)
Let z(c) be the third derivative of c**8/224 + c**7/35 - c**6/16 + 152*c**2. Let z(k) = 0. Calculate k.
-5, 0, 1
Let n be (4/16)/(2/40). Let x(k) be the first derivative of 1/14*k**4 + n - 2/7*k**2 + 0*k - 2/21*k**3. Solve x(t) = 0 for t.
-1, 0, 2
Let u(q) be the second derivative of -q**5/4 + 5*q**4/2 + 5*q**3/6 - 15*q**2 + 6*q - 2. Find a, given that u(a) = 0.
-1, 1, 6
Factor -4*x**5 + 93*x**2 + 44*x**4 - 312*x**2 - 520*x - 36*x**3 - 193*x**2 - 192.
-4*(x - 8)*(x - 6)*(x + 1)**3
Let n(w) be the third derivative of -w**8/6720 + w**4/12 - 3*w**2. Let y(g) be the second derivative of n(g). Factor y(r).
-r**3
Let o = -864 + 867. Determine b so that 0 - 2/15*b**5 - 2/5*b**o + 2/15*b**2 + 2/5*b**4 + 0*b = 0.
0, 1
Let h(l) be the second derivative of -l**7/231 + l**6/165 + l**5/110 - l**4/66 + 86*l - 1. Factor h(m).
-2*m**2*(m - 1)**2*(m + 1)/11
Let s(t) be the first derivative of 32/5*t**5 + 0*t + 10*t**2 + 64/3*t**3 - 11 + 18*t**4 + 2/3*t**6. Solve s(u) = 0 for u.
-5, -1, 0
Let k(i) be the first derivative of 2/3*i**2 + 19 - 2/9*i**3 + 0*i. Factor k(h).
-2*h*(h - 2)/3
Factor -55 + 85/6*b - 5/6*b**2.
-5*(b - 11)*(b - 6)/6
Find g such that 3/8*g**2 + 9 - 75/8*g = 0.
1, 24
Suppose -6*n + 84 + 24 = 0. Factor -4*d**3 + 2*d**3 + 3*d**3 + 21*d + n*d**2 - 4*d**3.
-3*d*(d - 7)*(d + 1)
Let b(u) = 8*u - 196. Let i be b(25). Let x(f) be the third derivative of 0*f - 7/30*f**5 + 0 - 5/12*f**i + 2/3*f**3 - 3*f**2. Factor x(v).
-2*(v + 1)*(7*v - 2)
Let i be (10/(-3) - -4)*(-1 - -4). Suppose 4*u + 60 = 5*n, u - i*u = n - 3. Factor -n*v + 32/3 - 1/6*v**3 + 2*v**2.
-(v - 4)**3/6
Find q, given that 448*q**3 - q**4 - 5*q**5 + 44*q - 380*q**3 + q**5 - 127*q**2 + 20 = 0.
-5, -1/4, 1, 2
Let i be (2 + (1 - 1))/5. Let l = 3484 - 3484. Find j, given that -i*j - 7/5*j**2 + l = 0.
-2/7, 0
What is z in 8*z**4 + 24 + 68*z**3 + 128*z + z**3 - 8*z**3 + 142*z**2 - 3*z**3 = 0?
-3, -2, -1/4
Let t(p) = 15 - p**4 + 18 - 32. Let i(w) = 25*w**5 - 138*w**4 - 660*w**3 - 890*w**2 - 485*w - 92. Let u(z) = -i(z) - 2*t(z). Determine m, given that u(m) = 0.
-1, -2/5, 9
Let i be (-26220)/(-50232) - 2/91. Factor -i*x**2 - 8 - 4*x.
-(x + 4)**2/2
Let b(n) be the third derivative of 0*n + 1/3*n**3 + 0 + 0*n**4 - 6*n**2 - 1/30*n**5 + 1/90*n**6. Let s(a) be the first derivative of b(a). Factor s(u).
4*u*(u - 1)
Suppose -24*a + 18 = -20*a + u, 3*a = -5*u + 22. Let k(t) be the third derivative of 1/240*t**5 + 9*t**2 + 1/48*t**a + 0 + 0*t**3 + 0*t. Factor k(q).
q*(q + 2)/4
Let p(x) = 16*x**2 - 11*x. Let a(z) be the first derivative of 5*z**3/3 - 2*z**2 - 2. Let w(h) = 7*a(h) - 2*p(h). Solve w(y) = 0.
0, 2
Let j(w) be the first derivative of 7*w**4/26 - 4*w**3/39 - 25*w**2/13 - 32*w/13 - 362. Find m, given that j(m) = 0.
-1, 16/7
Let u(m) be the third derivative of m**5/150 - m**4/5 + 11*m**3/15 + 678*m**2. Factor u(p).
2*(p - 11)*(p - 1)/5
Factor -4/5*y**2 - 8*y + 0.
-4*y*(y + 10)/5
Let p(g) be the first derivative of g**3/21 - 29*g**2/14 - 30*g/7 + 360. Factor p(f).
(f - 30)*(f + 1)/7
Let m(h) be the third derivative of h**8/336 - h**7/35 + h**6/20 + 4*h**5/15 - 5*h**4/8 - 3*h**3 + 32*h**2 - 7*h. Factor m(x).
(x - 3)**2*(x - 2)*(x + 1)**2
Suppose d + 3*b = 2, 2*d + d + 3*b - 6 = 0. Let o be (24/(-2))/(d*54/(-24)). Factor -4/3 - 2/3*j**3 - o*j**2 - 10/3*j.
-2*(j + 1)**2*(j + 2)/3
Let f = -8800022/25209 + -80/2801. Let k = f - -350. What is l in 2/9 + k*l**2 + 10/9*l = 0?
-1, -1/4
Let v = -5113 + 5116. Let -6/5*g**2 - 2/5*g**v + 0 + 0*g = 0. Calculate g.
-3, 0
Let l = -118 - -131. Factor -6*r**3 - 15*r**2 - 9*r**3 + 29*r - 5*r**4 - 21*r - l*r.
-5*r*(r + 1)**3
Let 25/7*n - 10/7*n**4 + 10/7*n**2 - 24/7*n**3 + 0 - 1/7*n**5 = 0. Calculate n.
-5, -1, 0, 1
Let m be (-4)/(-6) + (-35)/(-15). Factor 9 + 15*x - 11*x**m + 5*x**3 + 7*x**3 + 7*x**2.
(x + 1)*(x + 3)**2
Let v be -3 - 1/1*(-50)/2. Solve 4*p**5 + 34*p**3 - 44*p**3 + 16*p**4 + v*p**3 = 0 for p.
-3, -1, 0
Let d(q) = -q + 22. Let l be d(18). Find s, given that -s + 16*s**3 - 4*s**l + 0*s + 9*s - 20*s**2 = 0.
0, 1, 2
Suppose 15*o - 13*o - 9 = -5*q, -o = -4*q + 2. Factor 2/3*l - 2/3*l**o + 4/3.
-2*(l - 2)*(l + 1)/3
Let f(p) = 7*p**4 - 11*p**2 - p. Let o(z) = 3*z**4 - 5*z**2. Let s(u) = 2*f(u) - 5*o(u). Factor s(w).
-w*(w - 1)**2*(w + 2)
Let n(q) = -q**4 + q. Let i(u) = -3*u**4 - 2*u**3 + u**2 + 4*u. Let d be 3/(-2)*(18 + -6)/6. Let y(g) = d*i(g) + 6*n(g). Determine x so that y(x) = 0.
-2, -1, 0, 1
Factor m**2 - 10 - 9 + 69 - 82*m + 4*m**2 + 27*m.
5*(m - 10)*(m - 1)
Let a be 2 + 10/(-5) - -3. Factor 13*t**2 - 3*t**3 + 15*t**a - 25 - 101*t**2 + 148*t - 15.
4*(t - 5)*(t - 2)*(3*t - 1)
Let s be (-377)/(-8) + 3 + (-100)/32. Solve -45 + 14*b - s + 100 - 4*b**2 = 0.
-1/2, 4
Let f(d) = -9*d**5 + d**4 + 11*d**3 - d**2 - 10*d - 4. Let q(c) = 1231*c**3 - 10*c - 1221*c**3 - 8 + 3 - 10*c**5. Let g(r) = -5*f(r) + 4*q(r). Factor g(i).
5*i*(i - 2)*(i - 1)*(i + 1)**2
Let f be ((-3510)/(-75))/18 + (-6)/10. Let d(m) be the first derivative of -f*m**2 - m**4 + 6 + 2*m**3 + 1/5*m**5 + m. Determine s, given that d(s) = 0.
1
Let y(c) be the second derivative of c**6/220 - c**5/60 + c**4/66 - c**3 - c**2 + 12*c + 1. Let n(q) be the second derivative of y(q). Factor n(d).
2*(d - 1)*(9*d - 2)/11
Factor -64/15 - 2/15*q**3 - 8/15*q**2 + 56/15*q.
-2*(q - 2)**2*(q + 8)/15
Suppose -45*k**4 + 198*k**3 + 60*k**2 + 25*k**3 - 23*k**3 - 35*k**5 = 0. What is k?
-3, -2/7, 0, 2
Find f, given that 2*f**2 + 80*f + 97*f**4 - 5*f**5 - 137*f**4 - 75*f**3 + 38*f**2 = 0.
-4, -1, 0, 1
Let q(w) be the first derivative of -w**4/12 + 4*w**3/3 - 7*w**2/2 + 10*w/3 + 541. Factor q(y).
-(y - 10)*(y - 1)**2/3
Let g(v) = -3*v**2 - 9*v - 9. Let i(j) be the third derivative of 0 + 2*j**2 + 1/6*j**3 + 0*j. Let t(r) = g(r) + 3*i(r). Factor t(b).
-3*(b + 1)*(b + 2)
Let i = -3405 + 3405. Factor 0 + 0*u**2 + i*u - 1/5*u**3.
-u**3/5
Let b(w) be the third derivative of w**9/211680 + w**8/17640 + w**7/4410 - w**5/5 - w**2. Let u(k) be the third derivative of b(k). Factor u(a).
2*a*(a + 2)**2/7
Let q(g) be the third derivative of g**7/5040 - g**6/540 + g**5/240 - g**3/3 - 7*g**2. Let u(v) be the first derivative of q(v). Factor u(c).
c*(c - 3)*(c - 1)/6
Let o be 1 + 3 + 2 + -6. Factor -1/2*u**4 + 0*u + 1/2*u**2 - 1/2*u**3 + o + 1/2*u**5.
u**2*(u - 1)**2*(u + 1)/2
Let n(i) be the first derivative of -i**8/1470 - i**7/2940 + 2*i**3/3 + 7. Let t(g) be the third derivative of n(g). Determine s, given that t(s) = 0.
-1/4, 0
Let f = -31 + 28. Let u(n) = -4*n**3 + 12*n**2 + 32*n + 8. Let l(x) = x**3 - 4*x**2 - 11*x - 3. Let r(h) = f*u(h) - 8*l(h). Find s, given that r(s) = 0.
-1, 0, 2
Let i(x) = 3*x**2 + 11*x + 8. Let a(z) = 6*z + 0*z + 0*z + 0*z + 2*z**2 + 4. Let b(g) = -11*a(g) + 6*i(g). Determine y, given that b(y) = 0.
-1, 1
Let c(x) be the third derivative of -2*x**7/105 + 4*x**6/15 + 19*x**5/15 + 5*x**4/3 - 2*x**2 - 138*x. Find w such that c(w) = 0.
-1, 0, 10
Let n = -20 + 20. Suppose 2*i + n = -4*j + 6, -4*j + 3*i = -21. Suppose -j*x**2 + 9*x**3 + 5*x**4 - 5*x**2 - x**3 + 4*x**2 = 0. What is x?
-2, 0, 2/5
Solve 3/2*m**2 + 0 - 3*m = 0 for m.
0, 2
Let t be (1*-3)/((0 + -3)/3). Let w(m) be the second derivative of -t*m - 1/3*m**3 - 1/2*m**2 - 1/12*m**4 + 0. Factor w(k).
-(k + 1)**2
Suppose -24*n + 284 = 68. Let h(a) be the first derivative of a**2 + n + 3/10*a**5 - 1/2*a - 1/2*a**4 - 1/3*a**3. Factor