 - 31)
Factor 2/3*s**2 + 72 - 112/3*s.
2*(s - 54)*(s - 2)/3
Let n(c) be the first derivative of c**5/15 - 5*c**4/4 - 20*c**3/9 + 10*c**2 + 64*c/3 - 742. Determine d, given that n(d) = 0.
-2, -1, 2, 16
Solve -86/7*i + 28 - 6/7*i**2 = 0 for i.
-49/3, 2
Let t(b) be the first derivative of 21/10*b**2 - 60 + b**3 + 9/5*b + 3/20*b**4. Determine q so that t(q) = 0.
-3, -1
Let w be (-1)/(-11) - -296*(-86)/(-52976). Let 0 - 2/7*x + w*x**2 - 2/7*x**3 = 0. What is x?
0, 1
Let n(z) be the second derivative of -3/4*z**5 + 10/3*z**3 - 1 + 0*z**4 + 0*z**2 + 22*z - 1/6*z**6. Find y such that n(y) = 0.
-2, 0, 1
Let g(m) = 2*m**4 - 2*m**3 - 30*m**2 + 84*m - 54. Let r(j) = -j**4 + j**3 + 3*j**2 - 3*j. Let q(z) = -g(z) - r(z). Solve q(v) = 0.
-6, 1, 3
Let r be -1 - -52 - (7733 + -7690). Factor 6*s + 3/2*s**3 - r*s**2 + 8.
(s - 4)*(s - 2)*(3*s + 2)/2
Let z(h) be the second derivative of -h**7/42 + 77*h**6/15 - 405*h**5 + 38750*h**4/3 - 250000*h**3/3 + 419*h + 5. Let z(t) = 0. What is t?
0, 4, 50
Let m be ((-204)/234)/((-2)/(-15)*1). Let x = m + 307/39. What is c in -x*c**2 - 13/3*c - 1 = 0?
-3, -1/4
Suppose -2*c - 708 = -3*m, 3*c + 2 = -7. Let t be 2*m/(-81) + 6. Factor -t*o - 2/9*o**2 + 0.
-2*o*(o + 1)/9
Let i(f) be the second derivative of 2 + 5/3*f**3 + 4*f + 5/12*f**4 + 0*f**2 - 1/4*f**5. Factor i(d).
-5*d*(d - 2)*(d + 1)
Let i(j) be the third derivative of j**8/1344 + j**7/840 - 7*j**6/480 - j**5/240 + j**4/16 + 13*j**2 - 9*j. Let i(f) = 0. Calculate f.
-3, -1, 0, 1, 2
Let l(a) = 7*a**2 - 4*a - 10. Let z(v) = -18928 - 18922 + 4*v + 37858 - 6*v**2. Let c be 10/(-8)*1*4. Let n(k) = c*z(k) - 4*l(k). Factor n(u).
2*u*(u - 2)
Factor 228/5*w - 1/5*w**2 + 0.
-w*(w - 228)/5
Let d(z) be the first derivative of -z**3/21 - 1101*z**2/7 - 1212201*z/7 - 4636. What is i in d(i) = 0?
-1101
Factor 3872/3*v + 74/3*v**3 + 6*v**4 + 1/6*v**5 - 528*v**2 + 0.
v*(v - 4)**2*(v + 22)**2/6
Let k(p) = -p**2 - 7*p + 3. Let n be k(0). Find j such that -6*j**4 + 0*j**5 + 12*j**3 + j**5 - 16*j**3 - n*j**5 = 0.
-2, -1, 0
Let f(n) = n. Let l(z) = -2*z - 4. Let x(g) = 3*f(g) + l(g). Let i be x(6). Suppose -2 - 4*d - 4*d**i - 12 + 20*d**2 + 4*d**3 - 2 = 0. What is d?
-4, -1, 1
Let i be 160/(-100)*(2/20)/((-14)/35). Let n(r) be the first derivative of -4*r + i*r**5 + 2 + 2/3*r**3 + 3/2*r**4 - 3*r**2. Solve n(u) = 0.
-2, -1, 1
Let c(g) be the second derivative of 2*g**7/21 - 2*g**6/5 - 4*g**5/5 + 4*g**4 - 684*g. What is i in c(i) = 0?
-2, 0, 2, 3
Suppose 7*g + 2005 - 1613 = 0. Let x be 49/g*72/(-84). Factor 0 - 1/4*d + 3/4*d**2 - x*d**3 + 1/4*d**4.
d*(d - 1)**3/4
Let z(o) be the second derivative of 1/3*o**3 - 1/231*o**7 - 3/11*o**2 + 10 - 7/33*o**4 + 2*o + 1/165*o**6 + 3/55*o**5. Find l such that z(l) = 0.
-3, 1
Suppose 77*f + 8 - 1 = 7. Let l(v) be the third derivative of 0*v + f*v**3 + 0 + 0*v**5 - 1/150*v**6 + 1/840*v**8 + 1/60*v**4 + 0*v**7 + 17*v**2. Factor l(i).
2*i*(i - 1)**2*(i + 1)**2/5
Factor 302/13*m**2 - 1866/13*m + 2/13*m**3 + 2826/13.
2*(m - 3)**2*(m + 157)/13
Let n(m) be the third derivative of m**7/105 - 16*m**6/15 + 47*m**5/6 + 25*m**4 - 2*m**2 - 17*m + 21. Factor n(r).
2*r*(r - 60)*(r - 5)*(r + 1)
Let c(b) be the second derivative of -b**4/60 + 2*b**3 + 128*b**2/5 + 9*b - 235. Determine o, given that c(o) = 0.
-4, 64
Let f(a) = a**3 - 106*a**2 + 104*a + 109. Let p be f(105). Let i(v) be the third derivative of 8/3*v**3 + 13*v**2 + 0 + 0*v - 1/15*v**5 + 0*v**p. Factor i(r).
-4*(r - 2)*(r + 2)
Factor -105*d**4 + 80*d**4 + 33*d**4 + d**5 + 16*d**2 + 20*d**3.
d**2*(d + 2)**2*(d + 4)
Let s(b) be the first derivative of 11*b**4/3 - 41*b**3/9 - 109*b**2/6 - 8*b - 5466. Let s(z) = 0. What is z?
-1, -1/4, 24/11
Let l be 3 + (3 - 3 - -3). Suppose -l*y + 0*y = -18. Let -2*h + 2*h**2 - 4*h**2 + 2*h**4 - h**3 - 3*h**y + 6*h = 0. What is h?
-1, 0, 1, 2
Let b be ((-88)/220)/(-3*(-2)/(-15)). Let w(p) = 14*p**2 - 13*p + 2. Let r be w(b). Let 16/7 + 0*o + 12/7*o**4 + 8/7*o**r - 36/7*o**2 = 0. What is o?
-2, -2/3, 1
Let x be ((-10)/42)/((-225)/630). Let a(u) be the third derivative of 5/24*u**4 + 1/60*u**5 - 14*u**2 + 0 + 0*u + x*u**3. Determine m, given that a(m) = 0.
-4, -1
Let r(w) be the first derivative of -45*w**3 - 845*w + 5/4*w**4 + 975/2*w**2 - 50. Factor r(d).
5*(d - 13)**2*(d - 1)
Factor 190/11*x - 212 + 2/11*x**2.
2*(x - 11)*(x + 106)/11
Let z(u) = -4*u - 60. Let p be z(-6). Let f = -129/4 - p. Determine c so that -f*c**3 - 5/4*c**2 + 15/4*c + 5/2 - 5/4*c**4 = 0.
-2, -1, 1
Let w be 6426/567*2/68. Solve 4/3 + 0*z - w*z**2 = 0.
-2, 2
Let h(j) be the second derivative of j**4/42 - 3*j**3 - j - 95. Let h(r) = 0. What is r?
0, 63
Determine q so that 6*q**2 + 44*q**2 + 11*q**2 - 2270 - 56*q**2 + 2265*q = 0.
-454, 1
Determine b so that 1124*b - 339 - 1452137*b**2 - 4*b**3 + 1452061*b**2 - 705 = 0.
-29, 1, 9
Let b = -426 + 855/2. Let m(x) be the third derivative of 0 - 3/4*x**4 - b*x**3 - 1/630*x**7 + 0*x + 7*x**2 - 1/36*x**6 - 1/5*x**5. Let m(n) = 0. What is n?
-3, -1
Let m be (-53)/(-4)*640/(-1440) + 6. Factor -m*f**2 - 1/9*f**3 + 1/9*f + 1/9.
-(f - 1)*(f + 1)**2/9
Suppose -3*h - h = -360. Suppose -h + 9 = -9*k. Solve 123*y**2 + k*y + 3*y**4 + 0*y - 9*y**3 - 126*y**2 = 0 for y.
-1, 0, 1, 3
Let w(z) be the first derivative of 4*z**3/3 + 68*z**2 + 756*z + 4838. Factor w(b).
4*(b + 7)*(b + 27)
Let t be 6/18 - ((-11)/3 - 0). Suppose 2*j = t*m + 8, 0*m = -3*j - m + 5. Determine y so that 5*y - y + 5*y**2 - 7*y**j - 2*y**2 = 0.
0, 1
Let m = -124 + 111. Let t = m + 17. Factor 3*l + 8*l + t*l**2 - l - 2*l.
4*l*(l + 2)
Let h = -205 - -205. Suppose 85*v - 81*v = h. Find i, given that -2/13*i**2 + v*i + 0 = 0.
0
Let v be -3 - (2 + -2 + -6). Factor g - v*g**2 - 2*g**2 + 31*g**3 + 9*g - 36*g**3.
-5*g*(g - 1)*(g + 2)
Determine i so that 1812*i**2 + 412*i**3 - 108*i**4 + 74*i**4 + 54*i**4 + 968 - 3212*i = 0.
-11, 2/5, 1
Let d = 13956 + -153660/11. Let t = 587/44 + d. Solve 1 + t*i**2 + i = 0 for i.
-2
Let v(y) be the third derivative of 1/165*y**7 + 2/33*y**5 - 1/1848*y**8 + 18*y**2 - 2/33*y**4 - 3/110*y**6 + 0*y**3 + 0 + 0*y. Determine l so that v(l) = 0.
0, 1, 2
Let s be 729/468 + (-30)/24. Suppose -4*a = -4 - 8. Factor 2/13*p**5 + s*p**2 + 0*p**4 - 6/13*p**a + 0*p + 0.
2*p**2*(p - 1)**2*(p + 2)/13
Let s = -3062/633 + 1302/211. Suppose 5/3 + s*g - 2*g**2 + 1/3*g**4 - 4/3*g**3 = 0. What is g?
-1, 1, 5
Factor 484*l**4 + 1059298*l + 4*l**5 + 10811*l**3 + 3817*l**3 + 361764 + 208256*l**2 - 162274*l - 76*l**4 + 817884.
4*(l + 3)**2*(l + 32)**3
Let c(q) be the second derivative of -1738/3*q**4 + 6549/10*q**5 - 1106/15*q**6 + 0 + 484/3*q**3 + 0*q**2 + 84*q + 7/3*q**7. Factor c(n).
2*n*(n - 11)**2*(7*n - 2)**2
Let g(i) be the third derivative of -i**7/21 - 47*i**6/60 - 44*i**5/15 - 7*i**4/3 - i**2 + 281. Determine j, given that g(j) = 0.
-7, -2, -2/5, 0
Let m = -22 + 24. Suppose 3 = -p - m*i, 0 = -5*p + 2*i + i + 24. Determine v so that 0*v**2 - 4*v**5 + 0*v**2 - 23*v**5 - 9*v**4 + 15*v**p - 3*v**2 = 0.
-1, 0, 1/3
Let u(j) be the first derivative of -130 - 1/8*j**4 - 67/4*j**2 - 33/2*j - 35/6*j**3. Factor u(i).
-(i + 1)**2*(i + 33)/2
What is s in -150/7 + 4/7*s**3 - 2/7*s**4 - 100/7*s + 8*s**2 = 0?
-5, -1, 3, 5
Let n be -13 - 5 - (-6372)/324. Find p, given that -5*p**2 - 5/3*p**3 + n*p**4 + 10/3 + 5/3*p = 0.
-1, 1, 2
Let l(b) = -34*b**2 - 6324*b + 3128. Let d(o) = -28*o**2 - 6326*o + 3136. Let h(g) = 5*d(g) - 4*l(g). Determine q so that h(q) = 0.
-1584, 1/2
Suppose 1092 - 1095 = -o. Suppose 30*u**3 - 95*u**3 + 46*u**o - 2*u**2 = 0. Calculate u.
-2/19, 0
Let n(q) be the first derivative of q**4/32 + 73*q**3/3 + 85845*q**2/16 + 84681*q/4 - 11555. Determine u, given that n(u) = 0.
-291, -2
Factor -3/5*h**2 + 60*h + 303/5.
-3*(h - 101)*(h + 1)/5
Let z(q) be the second derivative of q**7/1260 + q**6/45 - 53*q**4/6 - q - 10. Let v(a) be the third derivative of z(a). Factor v(m).
2*m*(m + 8)
Let k(r) be the third derivative of -r**7/560 + 3*r**6/80 + 357*r**5/160 + 85*r**4/4 - 108*r**3 - 2*r**2 + 213. Find m, given that k(m) = 0.
-8, 1, 27
Let v = -680 + 718. Suppose -4 = -2*h + 3*w, 0 = -39*h + v*h - 4*w + 2. Find m, given that 3/5*m**4 - m**3 - 8/5 + 4*m - h*m**2 = 0.
-2, 2/3, 1, 2
Suppose -6*k = -3*k - 5*p - 2, k + 3*p = 24. Suppose 0 = k*a - 40 - 5. Factor a*u + 5*u**2 - 1 + 1 + 20*u.
5*u*(u + 5)
Let r(y) = y