/120*i**6 + 0*i**2 - 2*i**4. Let j(b) be the third derivative of w(b). Factor j(s).
-3*(s - 4)**2
Suppose 620/9*k + 2/9*k**2 + 48050/9 = 0. Calculate k.
-155
Let r(l) be the first derivative of 242 - 2/3*l**3 + 1/4*l**4 + 6*l - 5/2*l**2. Find k, given that r(k) = 0.
-2, 1, 3
Factor 38*f**3 + 18*f**3 + 4*f**4 + 136*f + 18778*f**2 + 44 - 18634*f**2.
4*(f + 1)**3*(f + 11)
Let d(z) be the third derivative of -z**7/210 + 259*z**6/240 + 13*z**5/8 + 151*z**4/24 + 127*z**2. Let v(g) be the second derivative of d(g). Factor v(w).
-3*(w - 65)*(4*w + 1)
Suppose -137*w + 2 = -135*w, -6*w + 1 = -o - 2. Find b, given that -21/8*b**2 + 21/4*b - 3 + 3/8*b**o = 0.
1, 2, 4
Let g be (8 - (-3400)/(-5))*(-8)/6. Let l be 1/4 + 116*8/g. Factor 0*d - l*d**3 + 0 + 36/7*d**4 - 3*d**5 - 6/7*d**2.
-3*d**2*(d - 1)**2*(7*d + 2)/7
Let t(q) be the third derivative of 0*q - 1/1200*q**6 + 73*q**2 + 0*q**3 - 1/600*q**5 + 1/120*q**4 + 0. Factor t(f).
-f*(f - 1)*(f + 2)/10
Let l = -143014 + 143016. Factor 3/2*i**4 + 3*i**3 - 57/2*i**l + 42*i - 18.
3*(i - 2)*(i - 1)**2*(i + 6)/2
Factor -26*k**2 - 142*k + 141 - 14*k**2 + 74*k**2 - 33*k**2.
(k - 141)*(k - 1)
Let w(p) be the first derivative of 4*p**5/15 + 35*p**4 + 820*p**3/9 - 70*p**2 - 824*p/3 + 5080. Solve w(s) = 0 for s.
-103, -2, -1, 1
Let c(x) be the first derivative of 0*x**4 + 2/25*x**5 - 1/30*x**6 - 2/15*x**3 + 232 + 0*x + 1/10*x**2. Factor c(j).
-j*(j - 1)**3*(j + 1)/5
Let v(a) = 84*a**3 + 396*a**2 - 520*a - 800. Let k(u) = -13*u**3 - 61*u**2 + 80*u + 123. Let b be 31/(-31)*4*-8. Let x(h) = b*k(h) + 5*v(h). Factor x(z).
4*(z - 2)*(z + 1)*(z + 8)
Let z(b) be the second derivative of b**5/160 + 65*b**4/96 - b**3/48 - 65*b**2/16 + 56*b - 63. Factor z(d).
(d - 1)*(d + 1)*(d + 65)/8
Suppose -4*p - p = -3*r + 87, 42 = 2*r + 2*p. Suppose -2*u**2 + 38*u - 35 + r - 27 - 39 + 9 = 0. Calculate u.
2, 17
Let n(z) = z**2 - 25*z. Suppose 0 = 2*k + 4 + 8. Let r = 8 + 5. Let p(c) = 3*c**2 - 50*c. Let x(u) = k*p(u) + r*n(u). Factor x(a).
-5*a*(a + 5)
Let i(r) = -2*r**2 + 8*r - 4. Let w be i(3). Factor -2*g**5 + w*g**3 + 2236*g - 2236*g.
-2*g**3*(g - 1)*(g + 1)
Let s(n) be the third derivative of n**8/80640 - 11*n**7/6720 - 17*n**6/1440 - 13*n**5/20 + 38*n**2 + 2. Let h(m) be the third derivative of s(m). Factor h(l).
(l - 34)*(l + 1)/4
Suppose 8 = 2*v + 4. Factor -a**3 + 6 - 4*a**v - 12*a + 5*a**2 + 2 + 5*a**2.
-(a - 2)**3
Let y = 2416 - 2414. Let m(g) be the third derivative of 0*g + 0*g**5 + y*g**2 + 0 + 1/40*g**6 - 1/8*g**4 + 0*g**3. Factor m(p).
3*p*(p - 1)*(p + 1)
Let a(v) = -v**2 - 6*v - 8. Let f be a(-4). Let o = 6/5 - 31/30. Factor 0*q**3 + f - 1/6*q**4 + 0*q + o*q**2.
-q**2*(q - 1)*(q + 1)/6
Let b(x) be the second derivative of -x**7/210 - x**3/6 - 5*x**2/2 - x + 26. Let y(p) be the second derivative of b(p). Factor y(h).
-4*h**3
Let l(r) be the first derivative of -278 - 5/3*r**3 + 20*r + 5/4*r**4 - 10*r**2. Determine m so that l(m) = 0.
-2, 1, 2
Suppose 36*j**4 - 79*j**2 + 68*j**2 + 59*j**2 + 9*j**3 + 37*j**3 + 4*j**5 + 34*j**3 = 0. Calculate j.
-6, -2, -1, 0
Let x be (732/7)/(((-192)/(-112))/6). Let n = x - 364. Factor 0 - 20/7*c + 4/7*c**n.
4*c*(c - 5)/7
Let n(j) = 6*j**3 - 15*j**2 - 72*j. Let m(t) = t**3 - 3*t**2 - 15*t. Let y = 135 - 140. Let d(f) = y*n(f) + 24*m(f). Find c, given that d(c) = 0.
0, 1/2
Let y(a) be the third derivative of -5/12*a**4 - a**2 - 17 + 0*a + 5/2*a**3 - 1/12*a**5. Solve y(c) = 0.
-3, 1
Let g(k) be the second derivative of 21/80*k**5 - 1/120*k**6 + 16*k - 3 + 11/24*k**4 + 0*k**3 + 0*k**2. Factor g(s).
-s**2*(s - 22)*(s + 1)/4
Suppose 0 = 6*n - n - 120. Factor -12*q**2 - 9 - 6*q**2 - 30*q**4 - n*q + 33*q**4 + 0*q**2.
3*(q - 3)*(q + 1)**3
Let k(r) = 658*r - 5261. Let x be k(8). Let s(t) be the first derivative of -24 + 0*t**2 + 0*t + 1/18*t**6 - 2/15*t**5 + 0*t**x + 1/12*t**4. Solve s(j) = 0.
0, 1
Find n, given that -304/7*n**3 - 109744/7*n - 521284/7 - 4/7*n**4 - 8664/7*n**2 = 0.
-19
Suppose 30 = 5*u - 5*s, -43*s = -14*u - 39*s + 54. Let o(i) be the second derivative of 3*i - 2*i**2 - 1/60*i**5 - 8/9*i**u - 7/36*i**4 + 0. Factor o(w).
-(w + 2)**2*(w + 3)/3
Factor 74686 - 2*c**3 - 1008*c + 96*c**2 - 71230 - c**3.
-3*(c - 12)**2*(c - 8)
Let q(m) be the second derivative of m**4/60 - 157*m**3/30 + 231*m**2/5 + 70*m + 15. Factor q(k).
(k - 154)*(k - 3)/5
Suppose 1808 = 26*x + 456. Find i such that 2875*i + 27491*i**2 + 5*i**4 - 26666*i**2 - x*i**3 + 157*i**3 + 3750 = 0.
-6, -5
Let c = 473731 - 473728. Let -2/3*l**c - 4*l**2 + 14/3*l + 0 = 0. Calculate l.
-7, 0, 1
Factor -91382*p**3 + 75645*p**4 - 138013*p**3 + 7400*p**2 + 65*p - 125*p.
5*p*(p - 3)*(123*p - 2)**2
Let g(b) be the third derivative of b**8/84 + 22*b**7/15 + 1109*b**6/15 + 9918*b**5/5 + 62775*b**4/2 + 303750*b**3 + 50*b**2 - 6. Solve g(q) = 0.
-25, -9
Let f(w) be the first derivative of -2*w**5/15 + 4*w**4 - 236*w**3/9 - 104*w**2 - 338*w/3 - 1384. Factor f(o).
-2*(o - 13)**2*(o + 1)**2/3
Suppose 2*q = -10, -k + 5*k + 5*q - 4511 = 0. Let m = k - 1132. Factor -4/9 - 2/9*d**m + 2/3*d.
-2*(d - 2)*(d - 1)/9
Let w = -142/3 - -48. Suppose -5366*d + 5390*d = 0. Find n such that 2/3*n + 0*n**2 + d - w*n**3 = 0.
-1, 0, 1
Factor 1/4*k**3 + 237/2 + 18*k**2 - 547/4*k.
(k - 6)*(k - 1)*(k + 79)/4
Let i(d) = -29*d**3 + 95*d**2 - 13*d - 33. Let m be i(3). Determine b so that 7/4*b + m + 9/4*b**2 = 0.
-7/9, 0
Let s(p) be the second derivative of 92*p - 1/60*p**4 - 7/30*p**3 - p**2 + 0. Solve s(w) = 0.
-5, -2
Let p(i) be the second derivative of -1/45*i**5 - 8/9*i**3 + 0 - 16*i**2 - 51*i + 10/27*i**4. Factor p(w).
-4*(w - 6)**2*(w + 2)/9
Let l(j) = 2*j**2 + j - 8. Let y be l(2). Let 4*b**3 - 23*b - 8*b**y + 19*b - 8*b = 0. What is b?
-1, 0, 3
Factor -2/7*w**2 - 330/7 - 116/7*w.
-2*(w + 3)*(w + 55)/7
Let s(y) = -y + 4. Let h be -10*5/(-25)*1. Let x be s(h). Factor -2*i**4 + 44*i**3 + 60*i**5 - 86*i**x + 94*i**2 - 110*i**4.
4*i**2*(i - 1)**2*(15*i + 2)
Factor -13675204/7 - 4/7*r**2 - 14792/7*r.
-4*(r + 1849)**2/7
Find t, given that 32*t**3 + 40 - 4*t**2 - 97 - 34*t + 41 + 2*t**5 + 20*t**4 = 0.
-8, -1, 1
Let -4599/4*r - 117/2*r**3 + 21/8*r**4 + 294 + 3513/8*r**2 = 0. Calculate r.
2/7, 7, 8
Let c = -10487 + 10487. Let z(q) be the second derivative of 13*q + c*q**2 + 0 - 1/30*q**3 - 3/100*q**5 + 1/15*q**4. Factor z(h).
-h*(h - 1)*(3*h - 1)/5
Find u such that 52/3*u**4 + 0 + 24*u**2 - 40/3*u + 42*u**3 + 2*u**5 = 0.
-5, -2, 0, 1/3
Let g(l) be the second derivative of -30*l**2 + 6*l**3 - 3/20*l**5 + 4 - 2*l + 9/4*l**4. Let g(y) = 0. What is y?
-2, 1, 10
Let k be (-269)/(-807)*(-1 + 8 + -1). Let c(w) be the first derivative of -1/2*w**k + 2/3*w**3 - 33 - 1/4*w**4 + 0*w. Find q, given that c(q) = 0.
0, 1
Let i(l) be the third derivative of -l**6/40 - 223*l**5/25 - 4681*l**4/40 - 173*l**3 - 11123*l**2. What is u in i(u) = 0?
-173, -5, -2/5
Let z(t) = t**2 - 1. Let d(m) = 8*m**2 - 28*m - 36. Let s be 1*(-5 + (-3 - 4)). Let j(q) = s*z(q) + d(q). Factor j(g).
-4*(g + 1)*(g + 6)
Suppose -5*a - 45 = -20. Let k(h) = -4*h**2 - 688*h + 5120. Let j(g) = g**2 + 138*g - 1024. Let z(w) = a*k(w) - 24*j(w). Solve z(f) = 0.
16
Let o = 12084 - 84538/7. Let f(z) = z**3 + 7*z**2 - 11*z - 18. Let m be f(-8). Let 46/7*h**5 + 0 - m*h**3 - 4/7*h + o*h**2 - 50/7*h**4 = 0. Calculate h.
-1, 0, 2/23, 1
Let c(f) = 7*f**2 + 2487*f + 1564998. Let p(y) = -19*y**2 - 7466*y - 4694995. Let r(z) = -8*c(z) - 3*p(z). Find d, given that r(d) = 0.
-1251
Solve -13455/2*h - 13225/2 - 1/8*h**4 - 117/4*h**3 - 14149/8*h**2 = 0 for h.
-115, -2
Let d(x) = -x**3 - 6*x**2 + 27*x + 4. Let u be d(-9). Let r(t) be the second derivative of -1/9*t**3 - 1/18*t**u + 0*t**2 + 9*t + 0. Factor r(y).
-2*y*(y + 1)/3
Suppose -1152 - 1/2*s**2 - 48*s = 0. What is s?
-48
Let g be (-8786)/7360 - (-6)/5. Let u = 167/1120 - g. Factor -u*h**4 - 5/7*h**2 + 2/7*h + 4/7*h**3 + 0.
-h*(h - 2)*(h - 1)**2/7
Find j, given that 30*j**3 + 15*j**4 - 140*j**2 + 120*j + 1621*j**5 + 1611*j**5 - 3237*j**5 = 0.
-3, 0, 2
Let q = -39119 + 39121. Find g, given that 16/3*g - 2 + 2*g**q = 0.
-3, 1/3
Let j(w) = 2*w - 2. Let u be j(1). Suppose u = 3*y - 3*r - 6, 5*r = r + 8. Solve 2*p**5 + 8*p**5 - 22*p**2 + 4*p - 45*p**y + 42*p**3 + 11*p**4 = 0 for p.
0, 2/5, 1
Factor -3/5*t**3 - 1833/5*t**2 + 0 + 0*t.
-3*t**2*(t + 611)/5
Suppose 4*u - 3*c - 33 = 0, 3*c = 