9. Let 1/9*j**3 - d*j**2 - 11/9 + 23/9*j = 0. What is j?
1, 11
Let o(b) = -3*b**2 + b - 2. Let m(s) = 11*s**2 - 4*s + 6. Suppose 4*t - 34 = 2*f, 9 + 6 = 3*t. Let q(c) = f*o(c) - 2*m(c). Let q(i) = 0. What is i?
-1, 2
Let q(i) be the first derivative of -i**6/42 + 3*i**5/35 + 81*i**4/28 + 11*i**3/3 - 1391. Let q(l) = 0. What is l?
-7, -1, 0, 11
Let x(j) be the first derivative of 5/4*j**4 + 5/6*j**6 - 44 - 5*j**3 + 0*j - 5*j**2 + 3*j**5. Suppose x(d) = 0. What is d?
-2, -1, 0, 1
Let y(h) be the second derivative of 204*h + 9/4*h**4 + 0*h**2 - 21/20*h**5 - h**3 + 0. Determine u, given that y(u) = 0.
0, 2/7, 1
Suppose 16*x - 56 = 14*x. Let y be (24/x)/(3/28*2). Determine p, given that 8*p + 81*p**3 - 23*p**2 - 15*p**2 - 20*p**y + 2*p**2 - 33*p**3 = 0.
0, 2/5, 1
Let f(o) be the first derivative of -2*o**3/3 - 846*o**2 - 357858*o + 1601. Determine l, given that f(l) = 0.
-423
Let k(a) be the first derivative of -2*a**3/3 + 778*a**2 - 302642*a - 2373. Factor k(z).
-2*(z - 389)**2
Let n(f) = -3*f**2 - 68*f + 25. Let x be n(-23). Find c, given that 95*c - 45 - 34*c**2 - 34*c**x + 85*c**2 + 5*c**3 - 72*c**2 = 0.
1, 9
Suppose 6*d - 2010 = -7542. Let r = d + 922. Let r - 1/6*q + 0*q**3 + 1/3*q**2 - 1/3*q**4 + 1/6*q**5 = 0. What is q?
-1, 0, 1
Let s(d) be the third derivative of d**6/120 - 3*d**5/20 - 77*d**4/12 - 24*d**3 + 7*d**2 - 13. Factor s(r).
(r - 18)*(r + 1)*(r + 8)
Factor -528858*r**2 - 2*r**3 + 529504*r**2 + r**3 - r**3.
-2*r**2*(r - 323)
Let x = 20231/220 + -1011/11. Let p(r) be the first derivative of -3/10*r**2 - x*r**4 + 1/5*r + 1/5*r**3 + 11. Determine n so that p(n) = 0.
1
Let h(r) be the third derivative of 1/8*r**6 - 87/20*r**5 - 129*r**2 - 7*r**4 + 18*r**3 + 0*r + 0. Factor h(u).
3*(u - 18)*(u + 1)*(5*u - 2)
Let t(r) be the third derivative of -r**7/135 - r**6/45 + 5*r**5/54 - r**4/18 + 692*r**2. Determine g, given that t(g) = 0.
-3, 0, 2/7, 1
Find c such that 2/9*c**2 - 740/9 - 46/3*c = 0.
-5, 74
Let l(o) = -751*o - 8255. Let v be l(-11). Let d(c) be the second derivative of 31*c + 0 + 3/5*c**2 - 1/75*c**v + 1/5*c**4 + 0*c**5 - 8/15*c**3. Factor d(p).
-2*(p - 1)**3*(p + 3)/5
Let s(j) be the first derivative of -3/7*j**3 + 0*j**2 - 3/35*j**5 + 0*j + 41 - 3/7*j**4. Factor s(i).
-3*i**2*(i + 1)*(i + 3)/7
Let q(m) = -2*m**2 + 4*m - 4. Let o(y) = -1. Let b(v) = 2*o(v) - q(v). What is n in b(n) = 0?
1
Let l(j) be the first derivative of 0*j**3 + 48 + 0*j**2 + 0*j - 1/15*j**6 + 8/25*j**5 - 3/10*j**4. Factor l(x).
-2*x**3*(x - 3)*(x - 1)/5
Find t, given that 512/3*t + 16*t**3 - 108*t**2 - 2/3*t**4 - 78 = 0.
1, 9, 13
Suppose -12*v + 1/4*v**5 + 8*v**3 + 11/4*v**4 + v**2 + 0 = 0. What is v?
-6, -4, -2, 0, 1
Let -298*q**3 - 409/2*q**2 - 5/4*q**5 - 117*q**4 + 93/4*q + 91/2 = 0. Calculate q.
-91, -1, 2/5
Solve 4*o**2 - 558 - 80688*o + 356 + 81580*o - 694 = 0 for o.
-224, 1
Let n(g) be the first derivative of 6*g**2 - 7/2*g**3 + 9/10*g**5 - 51/8*g**4 + 53 + 9/4*g**6 + 6*g. What is b in n(b) = 0?
-1, -2/3, 1
Let f(k) = -k**3 + k**2 - 16*k + 1. Let m(g) = 122*g**3 - 27633*g**2 + 10052*g - 913. Let u(y) = 2*f(y) + 2*m(y). Determine t, given that u(t) = 0.
2/11, 228
Let d(a) = a**2 - a + 1. Let v(w) be the third derivative of 7*w**5/30 + 17*w**4/12 - 2*w**3/3 + 3*w**2 + 8*w. Let p(l) = 8*d(l) + v(l). Factor p(m).
2*(m + 1)*(11*m + 2)
Let d = -7474 + 7476. Let z(y) be the first derivative of 2/3*y**3 + 1/2*y**4 + 0*y - 41 - d*y**2. Factor z(m).
2*m*(m - 1)*(m + 2)
Let n = 18 + -28. Let x = n - -15. Factor 15*k**4 + 0*k + 6*k**x + 15*k**3 - k**5 + 5*k**2 + 0*k.
5*k**2*(k + 1)**3
Let m be 9/(-21) + 5*(-191)/(-7). Suppose -14*y + 10*y + m = 0. Factor y*h + 40 - 22*h - 15*h**3 - 35*h**2 + 98*h.
-5*(h - 2)*(h + 4)*(3*h + 1)
Suppose -i - 7*y + 124 = -9*y, 254 = 2*i + 2*y. Let l = i + -124. Determine r, given that -4/7*r**3 + 10/7*r**l - 8/7*r + 2/7 = 0.
1/2, 1
Suppose 20 = 5*z - 2*f, -3*z + 2*f = -6 - 6. Let q be 4*(1/(-1))/(4/(-2)). Solve -6*i**4 - 5*i**3 + 2*i**q - 12*i**4 - 7*i**4 + 18*i**z = 0 for i.
-1, 0, 2/7
Let r(y) be the second derivative of 3*y**5/10 - 13*y**4/3 - 236*y**3/3 + 168*y**2 + 867*y. Find p, given that r(p) = 0.
-6, 2/3, 14
Let t(b) be the first derivative of b**7/2100 - b**6/225 - b**5/100 + 3*b**4/10 + b**3 - b + 50. Let f(l) be the third derivative of t(l). Solve f(z) = 0 for z.
-2, 3
Let q(p) be the third derivative of -p**5/20 + 39*p**4/2 + 158*p**3 - 3172*p**2. Solve q(v) = 0.
-2, 158
Let u = 24217/210 - 807/7. Let h(x) be the third derivative of 0*x + 0*x**3 - 5*x**2 - u*x**6 + 1/15*x**5 + 0 + 0*x**4. Factor h(o).
-4*o**2*(o - 1)
Let d be 26/((-2964)/4978) + 46. Determine w, given that -d*w**2 - 40/3 + 142/3*w = 0.
2/7, 20
Let b(u) = 2*u**3 + 15*u**2 + 16*u - 120. Let n(q) = q**2. Let o(m) = -b(m) - 3*n(m). Solve o(d) = 0.
-6, -5, 2
Let r = 26 - -42. Let b = r - 65. Solve b*i + 112*i**4 - 7*i + 62*i**2 - 114*i**3 - 38*i**5 - 24*i**2 + 6*i**5 = 0.
0, 1/4, 1, 2
Suppose -14/9*c**3 + 2/9*c**5 + 0 - 16/9*c**4 - 32/3*c + 124/9*c**2 = 0. Calculate c.
-3, 0, 1, 2, 8
Let h(v) = v**2 - 16*v + 7. Let u be h(18). Let i = u + -32. Let 6*t**2 + 6*t**2 + 3 - i*t**2 - 2*t**2 + 2*t = 0. Calculate t.
-1, 3
Let b(r) = -r**3 - 349*r**2 - 562*r + 45807. Let v be b(-347). Find a, given that 28/9*a**2 + 0 - 10/3*a**v + 2/9*a**4 + 0*a = 0.
0, 1, 14
Let v = -123970 + 123972. Determine o, given that 2/11 - 6/11*o - 2/11*o**3 + 6/11*o**v = 0.
1
Let y(f) be the second derivative of f**7/14 + 3*f**6/2 + 39*f**5/10 - f**4/2 - 27*f**3/2 - 39*f**2/2 + f - 480. Factor y(r).
3*(r - 1)*(r + 1)**3*(r + 13)
Let u be 2 + 2 + -1 + -1. Suppose 0 = -3*b + m - u, -2*m + 4 = 4*b. Find s, given that -72*s - 9*s**2 - s**2 + 6*s**2 - 324 + b*s**2 = 0.
-9
Let q(p) be the first derivative of p**5/10 - 27*p**4/4 + 781*p**3/6 - 351*p**2 + 338*p - 518. Factor q(x).
(x - 26)**2*(x - 1)**2/2
Find s such that 36/7*s + 22 + 2/7*s**2 = 0.
-11, -7
Let w(i) = 224*i**2 - 694*i. Let c(d) = 37*d**2 - d. Let h(b) = -6*c(b) + w(b). What is a in h(a) = 0?
0, 344
Let r(i) be the third derivative of 0 + 66*i**2 + 0*i + 13/15*i**5 - 28/3*i**4 + 1/6*i**6 + 40/3*i**3. Let r(y) = 0. Calculate y.
-5, 2/5, 2
Let z be 2 + (-7)/(-3) - 4/24*-4. Let m(r) be the third derivative of -1/60*r**z + 1/3*r**3 + 0*r + 1/24*r**4 - 23*r**2 + 0. Let m(w) = 0. What is w?
-1, 2
Let r(s) be the second derivative of s**5/20 - 49*s**4/12 - 3493*s. Factor r(z).
z**2*(z - 49)
Let a(q) be the first derivative of -1/8*q**4 + 1/3*q - 1/30*q**5 - 10 + 1/4*q**2 - 1/18*q**3. Factor a(n).
-(n - 1)*(n + 1)**2*(n + 2)/6
Let b(p) be the third derivative of -p**9/5040 + p**7/210 - p**4/12 + 4*p**3 - 55*p**2. Let z(v) be the second derivative of b(v). Factor z(o).
-3*o**2*(o - 2)*(o + 2)
Let m be (-1)/(-2)*(-6 - (5 - 11)). Let j be (7 - 15 - (-2 - m))/(-2). Solve 4 + 8*h + h**j + 0 - 6*h**3 + 2*h**3 + h**2 = 0.
-1, -2/3, 2
Let i(t) be the third derivative of -t**8/420 + 2*t**7/21 - 63*t**6/50 + 407*t**5/75 - 121*t**4/15 + 542*t**2 - t - 3. Find b, given that i(b) = 0.
0, 1, 2, 11
Let d(z) = 4*z**2 - 256*z - 6734. Let f(c) = 2*c**2 - 248*c - 6732. Let t(k) = -2*d(k) + 3*f(k). Solve t(o) = 0.
-58
Let 0 + 7/3*w**5 - 76/3*w**2 - 163/3*w**3 - 44/3*w**4 + 12*w = 0. What is w?
-2, -1, 0, 2/7, 9
Let n be 1 - (65/(-5) - -4). Suppose -2*f = -12 + n. Factor g**2 + 28*g**3 + f + 3*g - 3 + g**4 - 31*g**3.
(g - 2)*(g - 1)**2*(g + 1)
Let c(a) be the third derivative of -a**6/180 + 11*a**5/6 + 38*a**4 + 2768*a**3/9 + 1250*a**2 - 1. Let c(l) = 0. What is l?
-4, 173
Let s(h) be the third derivative of 0*h**3 + 0*h + 1/420*h**5 + 0*h**4 + 0 - 21*h**2. Factor s(u).
u**2/7
Suppose 18 = 3*a + 3*o, -o = 2*a + 3 - 12. Factor -1/4 - 1/4*d**4 + 0*d**a + 0*d + 1/2*d**2.
-(d - 1)**2*(d + 1)**2/4
Let a(k) = 159*k**2 - 24528*k - 94923. Let z(x) = -5*x**2 + 791*x + 3062. Let r(w) = -2*a(w) - 63*z(w). Factor r(g).
-3*(g + 4)*(g + 255)
Let h be 304/20 + -15 + 77/(-990)*-6. Solve 2/3*i**4 - 8/3*i**3 - h*i**2 + 0 + 8/3*i = 0.
-1, 0, 1, 4
Let u = -1090352/3 - -363451. Determine q so that -u*q**2 - 2*q + 7/3 = 0.
-7, 1
Let q(f) be the third derivative of f**7/7560 - f**6/135 - f**4/8 + f**3/6 + 8*f**2 + 2. Let n(l) be the second derivative of q(l). Factor n(g).
g*(g - 16)/3
Factor -51*t**5 + 55*t**5 - 66564 + 787*t**4 + 63480*t**3 - 196600*t**2 + 233*t**4 + 198660*t.
