*d**2 + 12/7*d**3 - 4/7*d**z + 0.
-4*d**2*(d - 3)**2*(d + 2)/7
Let x = 3418498/63 - 379830/7. Factor 0*w**4 + 2/9*w**5 + 0*w**2 - x*w**3 + 0 + 2/9*w.
2*w*(w - 1)**2*(w + 1)**2/9
Factor -20 - 14/3*o + 2/3*o**2.
2*(o - 10)*(o + 3)/3
Suppose -6*j + 234 = -366. Suppose 104 = 2*u + j. Determine v so that 0*v + 4/21*v**u + 0 + 2/21*v**3 = 0.
-2, 0
Let 1733762*d**2 - 5*d**4 + 528 - 7*d**4 - 1735158*d**2 + 1148*d - 268*d**3 = 0. What is d?
-12, -11, -1/3, 1
Let l be 8 - (3/4)/((-12)/(-48)). Suppose l*m - 2*s - 7 = 0, -5*s + 7 + 28 = 5*m. Factor -15*d**5 - 33*d**m + 24*d**5 + 12*d + 0*d - 12 + 27*d**2 - 3*d**4.
3*(d - 1)**3*(d + 2)*(3*d + 2)
Suppose 0 = 3*d, -10*d + 5*d = 3*g - 66. Let -g*n**2 - 1187*n + 1197*n + 14*n**3 + 0*n**4 - 2*n**4 = 0. Calculate n.
0, 1, 5
Let n(y) be the third derivative of 0 - 98/5*y**4 + 14/25*y**5 + 0*y + 5488/15*y**3 + 20*y**2 - 1/150*y**6. Let n(d) = 0. Calculate d.
14
What is c in -105 - 19*c**2 + 2*c - 52*c - 3*c**2 + 17*c**2 = 0?
-7, -3
Let b be 27/(1620/725) + (-405)/108. Factor 23/6*i**2 + b*i + 0 - 1/6*i**3.
-i*(i - 25)*(i + 2)/6
Let s(r) be the first derivative of 11*r**4 - 16/5*r**5 + 104/3*r**3 + 128*r + 38 - 128*r**2 - 2/3*r**6. Suppose s(z) = 0. Calculate z.
-4, 1, 2
Factor 21/2*w**4 + 27/2*w**2 - 3/2*w**5 + 0 - 45/2*w**3 + 0*w.
-3*w**2*(w - 3)**2*(w - 1)/2
Let q = -501802/3 + 167268. Suppose -q*t**2 - 2 + 8/3*t**4 + 8*t**3 - 19/3*t - 5/3*t**5 = 0. Calculate t.
-1, -2/5, 1, 3
Suppose -4*d - 12 = 4*i, -1785*d + 12 = -3*i - 1789*d. Factor i + 1/9*b**2 + 23/9*b.
b*(b + 23)/9
Let x(m) be the first derivative of -120/7*m - 25 + 1/14*m**6 - 51/28*m**4 + 78/7*m**2 + 6/35*m**5 + 2/7*m**3. Let x(u) = 0. Calculate u.
-5, -2, 1, 2
Let m(u) be the third derivative of -u**6/540 + 19*u**5/90 - 325*u**4/36 + 4375*u**3/27 - u**2 - 152*u - 9. Find b such that m(b) = 0.
7, 25
Let z be ((-40)/16 + 2)*23/(-21 - 25). Suppose -z*l**2 - 5/4 + 3/2*l = 0. Calculate l.
1, 5
Let s(x) be the first derivative of 24/5*x**5 + 0*x + 100/3*x**3 + 77 - 1/3*x**6 - 45/2*x**4 + 0*x**2. Factor s(q).
-2*q**2*(q - 5)**2*(q - 2)
Suppose 5*o + 814 = -z + 836, o = 2*z. Let d(b) be the second derivative of -9*b**2 - 21/20*b**5 + 0 - 2*b - 3*b**o + 25/2*b**3. Find x such that d(x) = 0.
-3, 2/7, 1
Find v, given that 2590*v**2 - 33696*v + 738*v**3 - 136071*v**4 + 778 + 135978*v**4 - 646*v**2 + 30326 + 3*v**5 = 0.
-6, 1, 12
Let o be (-5)/3 + (-43771)/(-7215) + 14. Determine j, given that -4/5*j**2 - 88/5 + o*j = 0.
1, 22
Let t(h) be the second derivative of h**5/50 + 37*h**4/30 + 62*h**3/5 - 62*h + 42. Factor t(i).
2*i*(i + 6)*(i + 31)/5
Let m(q) be the third derivative of -q**8/168 - 2*q**7/21 - q**6/4 + q**5/3 + 4*q**4/3 + 2699*q**2. What is g in m(g) = 0?
-8, -2, -1, 0, 1
Suppose h - 6 = c, -5*c + 26 = h + 38. Let w be ((-20)/(-250))/(h/(-10))*-10. Factor 2/3*k**3 - 2/3*k + w - 8/3*k**2.
2*(k - 4)*(k - 1)*(k + 1)/3
Let i(f) be the second derivative of -77/24*f**4 - 1/60*f**6 + 209*f + 0 + 0*f**2 - 49/6*f**3 - 2/5*f**5. Let i(l) = 0. What is l?
-7, -2, 0
Find p, given that -10/3*p**3 + 0 - 140/3*p + 221/9*p**2 + 1/9*p**4 = 0.
0, 3, 7, 20
Factor 22/3*m**2 - 194*m - 108.
2*(m - 27)*(11*m + 6)/3
Let m(z) be the first derivative of z**4/28 + 3*z**3/7 + 15*z**2/14 + z - 145. Solve m(a) = 0.
-7, -1
Let r(s) be the first derivative of -s**4/10 + 6*s**3/5 + 21*s**2/5 - 98*s + 15208. What is h in r(h) = 0?
-5, 7
Let b = -95 - -97. Factor b*s**2 - 11*s - 5 + 1 + 9*s.
2*(s - 2)*(s + 1)
Let i = 63431/126880 + 9/126880. Factor -i*w + 1/2*w**2 - 1.
(w - 2)*(w + 1)/2
Let i(a) be the third derivative of a**6/540 + a**5/30 - 961*a**2. Factor i(r).
2*r**2*(r + 9)/9
Let z(v) = 6*v**2 - 3171*v + 836358. Let q(b) = -7*b**2 + 3172*b - 836360. Let t(c) = 3*q(c) + 4*z(c). Find g, given that t(g) = 0.
528
Suppose 3*n - 18 = -3*i, 2*n - 4*i + 4 = -2*i. Let w(s) = 11*s**2 + 74*s + 24. Let d(z) = -z**2 + 4. Let c(x) = n*d(x) + 2*w(x). Find f, given that c(f) = 0.
-7, -2/5
Let i(f) be the first derivative of -24*f**2 - 6*f**4 + 37 + 4/5*f**5 + 52/3*f**3 + 16*f. Determine b, given that i(b) = 0.
1, 2
Let y(k) be the third derivative of 7*k**4/24 - 62*k**3/3 + 358*k**2. Let z be y(18). Factor 4/9*c + 0 - 10/9*c**z.
-2*c*(5*c - 2)/9
Let g(u) be the third derivative of 5*u**6/24 - 349*u**5/6 + 2075*u**4/24 + 695*u**3/3 + 2*u**2 + 982. Factor g(o).
5*(o - 139)*(o - 1)*(5*o + 2)
Let g(c) be the second derivative of 1/20*c**5 - 2 - 7/2*c**2 + 44*c + 5/2*c**3 - 3/4*c**4. Factor g(r).
(r - 7)*(r - 1)**2
Let i = 10705 - 10701. Let p(l) be the first derivative of 5*l**5 - i + 45/2*l**4 + 85/3*l**3 - 20*l + 0*l**2. Determine x so that p(x) = 0.
-2, -1, 2/5
Let b(h) be the first derivative of 3*h**4/2 - 63*h**3 + 720*h**2 + 768*h - 1284. Factor b(v).
3*(v - 16)**2*(2*v + 1)
Let a(f) be the first derivative of -f**6/30 + 2*f**5/5 + 15*f**4/4 + 4*f**3/3 - 142*f**2/5 - 48*f + 2249. Suppose a(n) = 0. What is n?
-4, -2, -1, 2, 15
Let y = -256 - -259. Factor -2*o**y - 125*o**4 + 259*o**4 - 134*o**4 + 2*o**5.
2*o**3*(o - 1)*(o + 1)
Let w(j) be the first derivative of -j**4/2 - 50*j**3/3 + 54*j**2 - 1091. Find z, given that w(z) = 0.
-27, 0, 2
Factor -27/4*l - 9 + 5/2*l**2 + 1/4*l**3.
(l - 3)*(l + 1)*(l + 12)/4
Let m = 1515/7168 + 3/1024. Let s(u) be the first derivative of 4/7*u**3 + 12/35*u**5 + 1/14*u**6 + 14 + m*u**2 + 9/14*u**4 + 0*u. Factor s(k).
3*k*(k + 1)**4/7
Let s(k) be the second derivative of -k**7/14 + 19*k**6/10 + 63*k**5/10 + k**4/2 - 41*k**3/2 - 63*k**2/2 - 3*k - 125. Let s(o) = 0. Calculate o.
-1, 1, 21
Let b(u) be the third derivative of 1/588*u**8 - 2/35*u**5 + 0*u**3 + 2/105*u**6 + 4/245*u**7 - 5/42*u**4 + 0*u - 2 - 6*u**2. Let b(n) = 0. What is n?
-5, -1, 0, 1
Let q = 161 - 152. Let c(y) = 7*y**2 - 4*y + 6. Let j be c(5). Find h such that j*h**2 + q - 164*h**2 + 3*h + 3*h = 0.
-1, 3
Let q = 26 + -22. Suppose 2*l - 12 = -q. Factor -96*h**4 - 3 + l*h + 97*h**4 - 4*h**3 + 3*h**2 - 1.
(h - 2)**2*(h - 1)*(h + 1)
Let y be (-15)/45 + -2*13/(-6). Factor 83*p**y - 3*p**3 + 96*p**4 - 182*p**4.
-3*p**3*(p + 1)
Let d(f) be the third derivative of -f**8/560 + 19*f**7/1050 - 47*f**6/600 + 19*f**5/100 - 17*f**4/60 + 4*f**3/15 - 101*f**2 - 4. Suppose d(p) = 0. Calculate p.
1, 4/3, 2
Let b(p) = 2*p**2 + 4*p**2 - 631 - 4*p**2 + 599 + 6*p. Let k(u) = 2. Let z(x) = b(x) + 6*k(x). Factor z(v).
2*(v - 2)*(v + 5)
Let f = 345837/864655 - -5/172931. Determine k, given that f*k**2 + 112/5*k + 1568/5 = 0.
-28
Let c = -19931 - -19934. Let s(a) be the third derivative of -26*a**2 - 11/60*a**5 + 0 + 0*a + 23/12*a**4 - 4/3*a**c. Factor s(y).
-(y - 4)*(11*y - 2)
Let h(p) be the first derivative of -p**3 - 2019*p**2/2 - 4026*p - 2290. Factor h(k).
-3*(k + 2)*(k + 671)
Let r(h) be the first derivative of -1145*h**4/4 + 760*h**3 - 1125*h**2/2 - 10*h - 1178. Suppose r(w) = 0. What is w?
-2/229, 1
Let 134*v**2 + 96*v - 717*v**5 - 148*v**3 - 128*v**4 + 66*v**2 + 697*v**5 = 0. What is v?
-4, -3, -2/5, 0, 1
Suppose -5/4*s**5 - 125*s**2 - 255/2*s**3 - 165/4*s - 45*s**4 + 0 = 0. Calculate s.
-33, -1, 0
Let c(i) = -7*i - 124 - 13 + 0*i. Let d be c(-23). Factor -d - 18*t - 3/8*t**3 - 9/2*t**2.
-3*(t + 4)**3/8
Determine g so that -474/7 + 164/7*g - 2/7*g**2 = 0.
3, 79
Let d be (-45)/324*6*-6. Let u(i) be the first derivative of 13/2*i**4 - 30 + 47/5*i**d + 0*i**2 + 4/3*i**3 + 35/12*i**6 + 0*i. Suppose u(h) = 0. What is h?
-2, -2/5, -2/7, 0
Let h be (-35)/(560/272) - -17. Factor -1/5*s**2 - 6/5*s + h.
-s*(s + 6)/5
Let m be 7 + (0 + -2 + -79)/(-1). Let x be m/70 + (36/10 - 4). Factor -3/7*z**2 - 3/7 + x*z.
-3*(z - 1)**2/7
Let d(j) be the second derivative of j**6/30 - 187*j**5/10 + 12263*j**4/4 - 170170*j**3/3 + 414050*j**2 + 9412*j. Suppose d(p) = 0. Calculate p.
5, 182
Let j(o) be the third derivative of -o**6/24 - 5*o**5/6 - 85*o**4/24 + 70*o**3/3 - 6*o**2 - 36*o. Factor j(v).
-5*(v - 1)*(v + 4)*(v + 7)
Let w(g) be the second derivative of -3*g**5/10 + g**4/3 + g**3/3 + 710*g. Factor w(o).
-2*o*(o - 1)*(3*o + 1)
Let s(v) be the third derivative of 21/16*v**4 + 0*v + 9*v**2 + 441/8*v**3 + 1/80*v**5 + 5. Determine l so that s(l) = 0.
-21
Factor 348*y**2 - 72300 - 684*y**2 + 14190 - 10863*y - 19920 - 3*y**3.
-3*(y + 10)*(y + 51)**2
Let p be ((-28)/(-18))/((-637)/(-7098)). Factor 11*s**2 + 7/3*s**3 - p*s + 4.
(s - 1)*(s + 6)*