q - 9. Let g(t) = 18*d(t) + 2*z(t). Determine l so that g(l) = 0.
-3, 0, 15
Let v(c) be the third derivative of 1/40*c**6 + 3*c - 1/10*c**5 + 0*c**3 + 7*c**2 + 0 + 0*c**4 + 1/70*c**7. Factor v(q).
3*q**2*(q - 1)*(q + 2)
Suppose 3*j - v = 103, -65 = -7*j + 5*j - 3*v. Factor j*c + 24*c**2 + 6 - 21*c**2 - 43*c.
3*(c - 2)*(c - 1)
Find f, given that 2/11*f**5 - 2*f**2 + 16/11 + 12/11*f + 6/11*f**4 - 14/11*f**3 = 0.
-4, -1, 1, 2
Let p(t) be the third derivative of -t**7/630 - 7*t**6/180 - 17*t**5/180 + 10*t**4/9 - 8*t**3/3 - 1251*t**2. What is q in p(q) = 0?
-12, -4, 1
Let r(z) = -576*z**2 + 4*z - 28 + 2*z**3 + 1159*z**2 - 579*z**2. Let d(p) = 4*p**3 + 9*p**2 + 8*p - 54. Let o(f) = -6*d(f) + 11*r(f). Factor o(l).
-2*(l - 1)*(l + 2)*(l + 4)
Let j(a) be the first derivative of -a**7/2940 + a**6/1260 - 7*a**3 - a + 31. Let n(d) be the third derivative of j(d). Suppose n(p) = 0. Calculate p.
0, 1
Let z be (14100/275 - 51) + ((-48)/44)/4. Factor -3/4*x**3 + 0 + 0*x - 3/2*x**4 - 3/4*x**5 + z*x**2.
-3*x**3*(x + 1)**2/4
Let o(n) be the second derivative of -27*n**4/20 + 384*n**3 - 40960*n**2 - 419*n - 1. Find q, given that o(q) = 0.
640/9
Let v(t) be the third derivative of -8*t**2 + 3*t - 1/2*t**4 - 8/9*t**3 + 11/30*t**5 + 0 - 7/180*t**6. Factor v(n).
-2*(n - 4)*(n - 1)*(7*n + 2)/3
Let b be ((-10)/(-40)*0)/3. Let z be (b*(-9)/45)/(-1). Factor z*d - 4/3*d**2 + 8/3 + 0*d**3 + 1/6*d**4.
(d - 2)**2*(d + 2)**2/6
Let f(l) be the third derivative of -l**7/1120 + l**6/120 + l**5/160 - l**4/8 + 103*l**3/6 + 86*l**2. Let w(o) be the first derivative of f(o). Factor w(s).
-3*(s - 4)*(s - 1)*(s + 1)/4
Let p(h) be the first derivative of 225*h**2 + 10125*h + 5/3*h**3 + 185. What is o in p(o) = 0?
-45
Let y be (((-2967)/(-12))/23 - 13)*96/(-99). Determine a, given that 6/11*a + 4/11 + 14/11*a**3 - y*a**2 = 0.
-2/7, 1
Suppose 3*b = 0, -4*a = -b - 29 + 9. Find l such that 174*l**5 - 150*l**a + 7*l - 6*l**4 - 27*l**3 + 6*l**2 - 4*l = 0.
-1, -1/4, 0, 1/2, 1
Let y(w) be the second derivative of w**5/60 - 7*w**4/36 + w**3/3 + 175*w - 1. Determine q so that y(q) = 0.
0, 1, 6
Suppose 206*s - 203*s - i = 7, 3*s - 17 = -i. Let u(y) be the first derivative of 0*y**2 + s + 0*y - 2/9*y**3 - 1/3*y**4. Factor u(p).
-2*p**2*(2*p + 1)/3
Let m(y) be the third derivative of y**5/540 - 1757*y**4/108 + 3087049*y**3/54 + 253*y**2. Factor m(r).
(r - 1757)**2/9
Let a(p) be the first derivative of -2*p**2 + 32/3*p - 2*p**3 - 1/6*p**4 + 119. Factor a(w).
-2*(w - 1)*(w + 2)*(w + 8)/3
Let n = 78788/7 + -11581. Let t = -325 - n. Factor -18/7*c**3 + 0*c + t*c**2 + 0.
-2*c**2*(9*c - 2)/7
Determine x so that -52030210457088 - 409042535040*x - 1/2*x**5 - 2022480*x**3 - 1286297280*x**2 - 1590*x**4 = 0.
-636
Let a be 2*(-9)/132*784/(-12). Let l = 5871 - 5869. Find n, given that -2/11 - 26/11*n - 70/11*n**l + a*n**3 = 0.
-1/7, 1
Let l(v) be the second derivative of v**7/630 - 3*v**5/10 - v**4/12 + 5*v**3/6 + 71*v. Let p(q) be the third derivative of l(q). Factor p(i).
4*(i - 3)*(i + 3)
Let n = 294311/11 + -26755. Suppose -18/11*v**4 + 146/11*v**2 + 2/11*v**5 + n*v**3 + 192/11*v + 72/11 = 0. Calculate v.
-1, 6
Let m(y) = -6 + 0*y**2 - 4*y + 4*y**2 + 9*y. Let f be m(2). Suppose 25*b**3 + 93*b**4 + f*b**2 - 88*b**4 - 5*b**3 = 0. What is b?
-2, 0
Let v = 433731 + -433725. Factor -v + 3/2*j**2 + 3*j - 3/4*j**3.
-3*(j - 2)**2*(j + 2)/4
Let j be ((-161)/14490)/((-5)/11). Let f(l) be the third derivative of 0*l - 1/18*l**4 + 4*l**2 - 1/225*l**6 + 0 - j*l**5 - 1/15*l**3. Let f(m) = 0. What is m?
-1, -3/4
Suppose -3875 = -5*q - 3*h + 3830, -3*h + 4623 = 3*q. Let m be 4/(-34) + q/3417. Factor -1/6*y - 1/6*y**4 + 1/2*y**2 + 1/6*y**3 - m.
-(y - 2)*(y - 1)*(y + 1)**2/6
Let o(v) be the second derivative of -v**6/15 - 9*v**5/5 + 233*v**4/2 - 4580*v**3/3 + 3900*v**2 - 5651*v. Suppose o(c) = 0. What is c?
-39, 1, 10
Let z(q) be the first derivative of -q**4/48 + q**3/2 + 94*q + 139. Let b(m) be the first derivative of z(m). Factor b(s).
-s*(s - 12)/4
Let h be (-10)/(-55) + 493/374. Let q(j) be the first derivative of 4/3*j - 3 + h*j**2 + 1/12*j**4 + 2/3*j**3. Factor q(p).
(p + 1)**2*(p + 4)/3
Determine c so that -6*c**2 - 59 - 380 - 230*c + c**2 - 1 = 0.
-44, -2
Suppose -41*v + 98 = -25. Let k(b) be the second derivative of -5/12*b**4 - 5*b - 5*b**v + 0 - 45/2*b**2. Factor k(x).
-5*(x + 3)**2
Let i(u) = -2*u**3 - 43*u**2 + 368*u + 15. Let o be i(6). Factor -o - 3/4*l**2 - 27*l.
-3*(l + 18)**2/4
Suppose 1/9*d**2 + 4/9*d**3 + 0 - 4/9*d - 1/9*d**4 = 0. What is d?
-1, 0, 1, 4
Let n(h) be the third derivative of -h**7/1155 + 17*h**6/33 - 677*h**5/330 + 169*h**4/66 + 6*h**2 + 7*h + 27. Factor n(y).
-2*y*(y - 338)*(y - 1)**2/11
Let m(q) be the third derivative of 125/9*q**3 - 19*q**2 + 0 - 25/8*q**4 - 1/72*q**6 + 1/3*q**5 + q. Factor m(j).
-5*(j - 5)**2*(j - 2)/3
Let v(d) be the second derivative of -1/195*d**6 - 3 + 2/65*d**5 + 19*d - 5/78*d**4 + 0*d**2 + 2/39*d**3. Suppose v(x) = 0. What is x?
0, 1, 2
Let d(j) be the second derivative of -j**6/18 - 59*j**5/3 + 200*j**4 - 7240*j**3/9 + 4840*j**2/3 - 2*j + 700. Suppose d(n) = 0. Calculate n.
-242, 2
Let j(o) = 2*o**2 - 22*o + 2. Let p = 5 - 5. Suppose 6 = 3*h, p = -k - 2*h + 6 - 4. Let z(i) = i. Let b(y) = k*j(y) - 36*z(y). Find w such that b(w) = 0.
1
Let b(f) be the first derivative of 0*f + 0*f**3 - 4/25*f**5 + 2/15*f**6 - 22 - 2/5*f**4 + 0*f**2. Factor b(t).
4*t**3*(t - 2)*(t + 1)/5
Determine z so that -3/2*z**3 - 20655/2*z + 246*z**2 + 19683 = 0.
2, 81
Let o(u) = -18*u**2 + 12. Let b(t) be the third derivative of -t**6/120 - t**5/30 + t**4/24 - 3*t**2 + 36*t. Let z(c) = -3*b(c) + o(c). Factor z(p).
3*(p - 4)*(p - 1)*(p + 1)
Let h(i) be the first derivative of 0*i**2 + 0*i**4 - 14/3*i**3 + 0*i - 1/180*i**6 + 1/30*i**5 - 8. Let m(b) be the third derivative of h(b). Factor m(u).
-2*u*(u - 2)
Determine d, given that 9*d**4 - 89*d**5 - 75 - 78*d**2 - 49*d**3 + 39*d**3 + 155*d + 88*d**5 = 0.
-3, 1, 5
Let k(i) = -32*i**2 - 170*i - 28. Let t(f) = -3*f - 4. Let j(c) = k(c) - 2*t(c). Solve j(g) = 0.
-5, -1/8
Suppose -7*d - 4379 = 185. Let b = 654 + d. Factor 1/4*x**3 - 1/4*x + 1/4*x**b - 1/4.
(x - 1)*(x + 1)**2/4
Let -19*x - 2*x**2 - 325*x + 700 - 382 + 378 = 0. Calculate x.
-174, 2
Let w = 1286 - 1298. Let n be (20/56 - 1)*126/w. Factor n*c**4 + 0*c + 3/2*c**5 + 3*c**2 + 0 + 9*c**3.
3*c**2*(c + 2)**2*(2*c + 1)/4
Let j(a) = -2 + 6 + a**3 - 3 - a**2 + a. Let o(m) = -m**3 - 43*m**2 - 9*m + 43. Let g(v) = -5*j(v) - o(v). Suppose g(w) = 0. What is w?
-1, 1, 12
Let m(i) be the second derivative of -101 - 1200*i**2 + 20*i**3 - 1/8*i**4 + 2*i. Factor m(r).
-3*(r - 40)**2/2
Let q = 1297/1490 - 21/298. Let d(s) be the first derivative of -12 - 2/15*s**3 + q*s - 1/5*s**2. Let d(l) = 0. What is l?
-2, 1
Let x(y) = -150*y + 2264. Let g be x(15). Let d(j) be the first derivative of -g - 2*j**2 + 5/3*j**3 - j. Suppose d(b) = 0. Calculate b.
-1/5, 1
Let p = 240705/3514 - -2/1757. Let j = -67 + p. Suppose -j*c**2 + 15/4*c**3 - 3*c**4 + 3/4*c**5 + 0*c + 0 = 0. What is c?
0, 1, 2
Let h be 2/((-104)/(-14)) + (-3948)/(-17108). Let g = -87/4 - -22. Factor -3/4 + g*c**2 - h*c.
(c - 3)*(c + 1)/4
Suppose r - 2*b - 220 - 308 = 0, b = -4*r + 2148. Suppose 15*f**3 - r*f**4 - 515*f**4 - 20*f + 1587*f**4 - 25*f**2 - 511*f**4 + 5*f**5 = 0. Calculate f.
-4, -1, 0, 1
Let s(b) be the first derivative of -b**6/18 - 16*b**5/3 + 41*b**4/3 - 2*b**3/9 - 163*b**2/6 + 82*b/3 - 14341. Solve s(t) = 0.
-82, -1, 1
Let x(b) = -21*b**3 - 294*b**2 - 277*b + 4. Let g(t) = 185*t**3 + 2645*t**2 + 2495*t - 35. Let q(o) = 4*g(o) + 35*x(o). Factor q(k).
5*k*(k + 1)*(k + 57)
Let l(f) be the first derivative of 291 - 7/3*f**3 + 1/4*f**4 + 11/2*f**2 - 5*f. Suppose l(z) = 0. What is z?
1, 5
Let g be ((-1)/(-2))/(81/(-131544)). Let u = g - -814. Factor -4*y**3 + 66/5*y**u + 32/5 + 2/5*y**4 - 16*y.
2*(y - 4)**2*(y - 1)**2/5
Let x(l) be the second derivative of l**8/5376 - l**7/5040 - l**4/12 + 31*l**3/6 - 3*l - 8. Let d(u) be the third derivative of x(u). Factor d(i).
i**2*(5*i - 2)/4
Let k(s) be the first derivative of -12/5*s**2 - 144/5*s + 22 - 1/15*s**3. Factor k(g).
-(g + 12)**2/5
Let g(j) be the first derivative of j**6 + 112*j**5/5 - 85*j**4/2 - 196*j**3/3 + 40*j**2 + 6436. Find q such that g(q) = 0.
-20, -1, 0, 1/3, 2
Let v be (1