(6/48)/(3*x/48). Factor -5/2*v**4 + 0*v + 4*v**3 + 0 + q*v**5 - 2*v**2.
v**2*(v - 2)**2*(v - 1)/2
Suppose 2*l = -3*u + 13, 0 = -2*l - 4*u + 3*u + 7. Solve 3*x**2 - 3*x**l - 90 + 86*x - 36*x**2 + 37*x + 3*x**3 = 0 for x.
1, 5, 6
Let t be ((-145770)/(-1075) + -136)*190/(-18). Solve t*u**2 + 10/9*u**4 - 8/9*u + 0 + 2/3*u**5 - 46/9*u**3 = 0 for u.
-4, 0, 1/3, 1
Let a(k) = -2*k**2 - 7*k - 5*k + 4*k + 8 + 8*k**2. Let r(p) = 13*p - 8 + 100*p**2 - 5*p - 105*p**2. Let z(i) = 3*a(i) + 4*r(i). Suppose z(d) = 0. What is d?
2
Let -28*v + 160*v**3 - 2*v**4 - 38*v**4 + 2*v**5 - 134*v + 60*v**2 - 20*v**4 = 0. What is v?
-1, 0, 1, 3, 27
Let g(l) be the third derivative of 0 + 10/27*l**5 + 2/27*l**4 + 0*l**3 - 16*l**2 + 407/945*l**7 + 0*l + 7/10*l**6 + 121/1512*l**8. Let g(j) = 0. What is j?
-2, -1, -2/11, 0
Let y be 342/((-28323)/2052 - -14). Factor 32/5 - 27436/5*i**3 + y*i**2 - 912/5*i.
-4*(19*i - 2)**3/5
Suppose 8343*j - 8347*j = v, 4*j = -4*v - 60. Solve 254/15*d**3 - 82/5*d**4 + 328/15*d + 8/3 + 734/15*d**2 - 18/5*d**j = 0 for d.
-5, -1, -1/3, -2/9, 2
Let x(h) be the third derivative of -h**8/560 - h**7/280 + h**6/24 - 3*h**5/40 + 55*h**3/3 - 56*h**2. Let o(i) be the first derivative of x(i). Factor o(r).
-3*r*(r - 1)**2*(r + 3)
Let z(o) be the third derivative of o**5/60 - 25*o**4/12 + 47*o**3/2 - 4*o**2 + 7. Factor z(t).
(t - 47)*(t - 3)
Let u(j) = -6*j**2 - 2*j + 1. Let w be u(2). Let p = -22 - w. Factor 2*a - a**2 - 3*a**3 - 2*a**5 + 3*a**5 - 5*a**2 + a**4 + p*a**2.
a*(a - 1)**2*(a + 1)*(a + 2)
Let j(i) = -4*i**2 - 4218*i - 1119364. Let l(p) = -2*p**2 - 2110*p - 559682. Let d(u) = 3*j(u) - 7*l(u). Find s, given that d(s) = 0.
-529
Let b(f) be the third derivative of -9*f**5/140 - 37*f**4/56 + 23*f**3/7 - 61*f**2 + 3*f. Factor b(w).
-3*(w - 1)*(9*w + 46)/7
Let w(j) be the second derivative of j**9/45360 - j**8/840 + 2*j**7/105 + 25*j**4/6 + 27*j + 1. Let x(p) be the third derivative of w(p). Factor x(y).
y**2*(y - 12)**2/3
Let r(d) = 19*d**3 + d**2 + 2*d + 1. Let w(y) = 20*y**3 + 68*y**2 + 422*y + 1. Let p(f) = 5*r(f) - 5*w(f). Determine c, given that p(c) = 0.
-60, -7, 0
Let x(t) be the first derivative of 5/14*t**2 + 6/7*t - 8/21*t**3 - 83 - 3/28*t**4. Factor x(o).
-(o - 1)*(o + 3)*(3*o + 2)/7
Factor -1/6*x**3 + 49*x**2 - 195/2*x + 146/3.
-(x - 292)*(x - 1)**2/6
Let g(l) = -444*l - 28416. Let k be g(-64). Factor 2/7*s**5 + 0*s + 0*s**4 + 0 + k*s**2 + 0*s**3.
2*s**5/7
Factor -57/5*i + 0 - 1/5*i**2.
-i*(i + 57)/5
Let a be (-33)/(2376/135728) + 4/3. Let g = a + 1884. Factor 0 - g*n + 2/9*n**3 + 0*n**2.
2*n*(n - 1)*(n + 1)/9
Let z(i) = -3*i - 4. Let w be z(-2). Suppose -5*n - w = -12. Let n*u**3 + 10*u + 3*u - 5*u**3 - 7*u + 3*u**2 = 0. What is u?
-1, 0, 2
Let x(t) be the second derivative of -3/100*t**5 + 12*t - 1 + 3/2*t**4 + 0*t**2 - 45/2*t**3. Factor x(s).
-3*s*(s - 15)**2/5
Find z, given that 1/4*z**4 + 23/2 + 117/4*z + 27/4*z**3 + 97/4*z**2 = 0.
-23, -2, -1
Factor -53/6*p**2 + 17/2*p + 1/3.
-(p - 1)*(53*p + 2)/6
Suppose 0 = 4*f + 3*f + 14. Let p(n) = -4*n - 5. Let t be p(f). Solve -207 - g**2 - t*g + 207 + 4*g = 0.
0, 1
Suppose 553*d = 508*d. Factor 6/25*q + d*q**2 - 2/25*q**3 - 4/25.
-2*(q - 1)**2*(q + 2)/25
Let y(v) be the first derivative of -5*v**3/7 - 291*v**2/14 - 114*v/7 + 2073. Factor y(p).
-3*(p + 19)*(5*p + 2)/7
Suppose 11*q = 10*q - 16. Let s be 2*((-60)/40)/(3/q). Find g such that 111*g + 104*g + s + 50*g**3 - 127*g + 140*g**2 = 0.
-2, -2/5
Suppose -17*r + 445 = 343. Let u(s) be the first derivative of 8/5*s**5 + 1/2*s**4 + 7/9*s**r + 9 - 4/9*s**3 + 0*s + 0*s**2. Solve u(y) = 0 for y.
-1, 0, 2/7
Let n be ((-525)/(-70))/((-2885)/(-780) + (-62)/(-1209)). Solve -24 + 124*i - 194/3*i**n - 97/3*i**3 - 3*i**4 = 0.
-6, 2/9, 1
Let o(k) = 34*k**3 + 74*k**2 + 2*k - 38. Let w(z) = -2*z**3 - 2*z**2. Let r(g) = -2*o(g) - 36*w(g). Factor r(q).
4*(q - 19)*(q - 1)*(q + 1)
What is s in 156*s**3 + 90*s + 650242*s**4 + 486*s**2 - 650232*s**4 - 310*s = 0?
-11, -5, 0, 2/5
Let u = 263277 + -2896046/11. What is q in 3/11*q - u*q**2 - 2/11 = 0?
1, 2
Suppose -11 = -4*z + j, -3*j + 19 = z - 0*z. Factor -t**5 + 16*t**2 + 7*t - 14*t**3 + 0*t**2 + 6*t**4 - 2 + z - 16*t.
-(t - 2)*(t - 1)**4
Let a(o) be the first derivative of 3*o**4/4 + 56*o**3 - 174*o**2 + 1013. Factor a(k).
3*k*(k - 2)*(k + 58)
Let 9*y**2 + 27183*y**4 - 28*y**3 - 27175*y**4 - 24 + 28*y + 7*y**2 = 0. Calculate y.
-1, 1, 3/2, 2
Let d(c) be the third derivative of -c**6/180 + 127*c**5/90 - 31*c**4/9 - 28*c**3 + 783*c**2. Factor d(k).
-2*(k - 126)*(k - 2)*(k + 1)/3
Let x(b) = 99*b**2 + 271*b - 7. Let j(r) = 71*r**2 + 181*r - 5. Let z(s) = 7*j(s) - 5*x(s). Factor z(k).
2*k*(k - 44)
Determine m, given that -456 - 2339*m**3 + 2336*m**3 - 237*m**2 + 68*m - 758*m = 0.
-76, -2, -1
Factor -1143*f - 265*f - 57*f**2 + 6*f**2 - 24*f**2 - 46*f**2 - 4096.
-(11*f + 64)**2
Let d(s) be the first derivative of -s**6/3 - 44*s**5/5 - 20*s**4 + 1696*s**3/3 - 2128*s**2 + 3136*s - 1158. Find v such that d(v) = 0.
-14, 2
Let h(y) be the third derivative of y**6/600 - y**5/50 - 17*y**4/40 - 22*y**3/15 - 2*y**2 + 33*y - 3. Factor h(o).
(o - 11)*(o + 1)*(o + 4)/5
Suppose 0 = -2*w, 148 = 2*a + 3*w - 44. Suppose -18*z - 11*z**2 + 13*z - a + 7*z**2 - 35*z = 0. Calculate z.
-6, -4
Let w(y) be the first derivative of -y**6/720 - y**5/90 + 5*y**4/144 + y**2/2 - 3*y + 64. Let d(z) be the second derivative of w(z). Solve d(j) = 0.
-5, 0, 1
Factor 357*u + 203*u + 38 + 124*u**2 + 31*u**2 + 5*u**3 + 338 + 164.
5*(u + 2)**2*(u + 27)
Let o(p) be the second derivative of -p**6/1140 + 3*p**5/190 - 9*p**4/76 + 9*p**3/19 - p**2/2 + 20*p + 2. Let l(a) be the first derivative of o(a). Factor l(d).
-2*(d - 3)**3/19
Suppose 51*a = 54*a. Suppose 5*p - r = 14, p + r + 0 + 2 = a. Factor 2*y**3 + 2 + 17*y**2 - p*y - 19*y**2 + 0*y.
2*(y - 1)**2*(y + 1)
Let x(a) = -25*a**2 + 250*a + 2534. Let t(g) = -7*g**2 + 82*g + 844. Let h(m) = -7*t(m) + 2*x(m). Factor h(k).
-(k + 14)*(k + 60)
Let g(l) be the second derivative of 5/24*l**3 - 1 - 1/16*l**5 - 5/16*l**4 + 24*l + 15/8*l**2. Suppose g(j) = 0. What is j?
-3, -1, 1
Let y(b) be the first derivative of b**4/114 - 7*b**3/57 + 6*b**2/19 - 193*b - 116. Let x(d) be the first derivative of y(d). Factor x(w).
2*(w - 6)*(w - 1)/19
Factor 46*h**2 - 136*h**3 + 120*h + 58*h**3 + 66*h**3 - 2*h**4 + 64.
-2*(h - 4)*(h + 1)**2*(h + 8)
Let w(o) = -o**2 + 2*o + 4. Let x(k) = -3*k**2 + 3*k + 9. Let y be (-52)/(-52)*(-1 - 8). Let b(g) = y*w(g) + 4*x(g). Factor b(s).
-3*s*(s + 2)
Let h(m) be the third derivative of m**6/180 - 133*m**5/90 - 269*m**4/36 - 15*m**3 - 1607*m**2. Factor h(u).
2*(u - 135)*(u + 1)**2/3
Suppose -4/3*u**5 + 0 + 224/3*u**3 + 0*u**2 + 0*u - 40/3*u**4 = 0. Calculate u.
-14, 0, 4
Factor 0 - 1/9*u**4 - 10/3*u**3 + 67/9*u**2 + 32/3*u.
-u*(u - 3)*(u + 1)*(u + 32)/9
Let u(j) be the second derivative of -42*j + j**3 + 12*j**2 - 5/4*j**4 + 0 + 3/20*j**5. Factor u(p).
3*(p - 4)*(p - 2)*(p + 1)
Let j be ((-3)/42)/((3160/(-1280))/79). Factor 18/7 + 44/7*k**2 + 2/7*k**4 + j*k**3 + 48/7*k.
2*(k + 1)**2*(k + 3)**2/7
Factor -1/3*s**4 + 0 + 0*s - 167/3*s**3 - 110*s**2.
-s**2*(s + 2)*(s + 165)/3
Let s(q) be the third derivative of q**7/21 + 49*q**6/24 + 11*q**5/6 - 245*q**4/24 - 20*q**3 - 2*q**2 - 1407*q. Determine a so that s(a) = 0.
-24, -1, -1/2, 1
Let j(w) be the second derivative of -w**7/14 - 2*w**6 - 39*w**5/5 - 7*w**4/2 + 53*w**3/2 + 51*w**2 + 367*w + 1. What is y in j(y) = 0?
-17, -2, -1, 1
Let v(q) be the second derivative of 17/6*q**3 + 0 + 1/24*q**4 + 285*q + 289/4*q**2. Factor v(c).
(c + 17)**2/2
Let b(a) be the second derivative of -a**6/30 + 431*a**5/20 + 433*a**4/4 + 1301*a**3/6 + 217*a**2 + 1192*a. What is c in b(c) = 0?
-1, 434
Let q(d) = -15*d**4 + 4005*d**3 + 795970*d**2 - 1604005*d + 804005. Let y(w) = 4*w**4 - w**3 + 4*w**2 + w. Let g(b) = -q(b) - 5*y(b). Solve g(c) = 0.
-401, 1
Suppose -184*m = -185*m + 13. Let n(t) be the third derivative of 7/24*t**4 - t**3 + 0*t - 1/120*t**6 + 0 + 0*t**5 + m*t**2. Factor n(h).
-(h - 2)*(h - 1)*(h + 3)
Let x be (-124)/930*(-190)/3 - 8. Factor -2/3*i + 0 + 2/9*i**3 + x*i**2.
2*i*(i - 1)*(i + 3)/9
Let r(s) be the third derivative of s**8/131040 - s**7/6552 + s**6/780 + 4*s**5/15 - 2*s**2 - 12. Let q(t) be the third derivative of r(t). Factor q(f).
2*(f - 3)*(f