se 3*b + 4*u = -8, 5*b + 3*u - 21 = -16. Determine z, given that -20*z**2 + 55*z**4 + 73*z**b + 16 - 124*z**4 = 0.
-2, -1, 1, 2
Let y = 13685 - 13685. Let o(t) be the second derivative of -1/54*t**4 + 6*t + y*t**2 + 0 - 2/9*t**3. Factor o(g).
-2*g*(g + 6)/9
Let y(w) = -54*w**2 + 383*w + 23. Let m(f) = -162*f**2 + 1174*f + 70. Let n(l) = -4*m(l) + 11*y(l). Determine g so that n(g) = 0.
-1/18, 9
Factor 1/11*b**3 - 4/11*b + 4/11*b**2 - 16/11.
(b - 2)*(b + 2)*(b + 4)/11
Suppose 0 = 7*t + 2 - 23. Factor 14*x**2 + 156*x + 10*x**2 - 256*x + 4*x**t + 72.
4*(x - 2)*(x - 1)*(x + 9)
Let x = -137 + 138. Let z(a) = -a. Let r(k) = -3*k**2 - 4*k. Let y(u) = x*r(u) - 2*z(u). Factor y(s).
-s*(3*s + 2)
Factor -2592/5 + 2/5*l**3 - 16*l**2 + 936/5*l.
2*(l - 18)**2*(l - 4)/5
Factor -20/3*o - 2/9*o**2 - 18.
-2*(o + 3)*(o + 27)/9
Let b(h) be the second derivative of 0*h**2 + 3*h**4 - 6*h**3 + 0 - 79*h + 1/5*h**5 - 2/15*h**6. What is g in b(g) = 0?
-3, 0, 1, 3
Factor 5/3*l**2 + 200/3*l + 665.
5*(l + 19)*(l + 21)/3
Let x = 209415 - 209413. Factor -4/3*g**3 + 20/3*g**x + 0 - 16/3*g.
-4*g*(g - 4)*(g - 1)/3
Let 63*x**2 + 309*x**2 + 28*x**3 - 56*x**4 - 12*x**5 - 332*x**2 = 0. Calculate x.
-5, -2/3, 0, 1
Let t be -5*(-4 + 1475/375). Suppose 7/3*b**2 - 1/3*b**4 + t*b**3 - 1/3*b - 2 = 0. Calculate b.
-2, -1, 1, 3
Let r(o) be the third derivative of o**7/1260 + o**6/15 + 12*o**5/5 + 23*o**4/24 + 15*o**2. Let d(m) be the second derivative of r(m). Factor d(c).
2*(c + 12)**2
Suppose 8*j - 42 = 126. Factor -2 - 14*u**2 - u**2 + j*u - 5*u + u.
-(u - 1)*(15*u - 2)
Let c(i) be the first derivative of -5*i**6/3 + 9*i**5/5 + 51*i**4/4 + 35*i**3/3 + 3*i**2/2 - 2342. What is w in c(w) = 0?
-1, -1/10, 0, 3
Let p(q) be the third derivative of -q**8/168 - q**7/7 - 83*q**6/60 - 41*q**5/6 - 18*q**4 - 80*q**3/3 - 17*q**2 - 20. Find v such that p(v) = 0.
-5, -4, -1
Let a = -117 - -119. Factor 1 - 10 - 2*k**2 + 5*k + 7*k**a - 2*k + k**3.
(k - 1)*(k + 3)**2
Let b(s) be the second derivative of -1/70*s**5 - 1/42*s**4 + 1/147*s**7 + 0*s**3 + 0*s**2 + 1/105*s**6 + 3*s - 2. Solve b(y) = 0 for y.
-1, 0, 1
Let h(l) = l**2 - 46*l + 93. Let j be h(44). Let r(w) = -3*w**2 + 50*w - 48. Let m(c) = 2*c**2 - 24*c + 24. Let s(n) = j*m(n) + 2*r(n). Factor s(y).
4*(y - 3)*(y - 2)
Let v(h) be the third derivative of h**8/672 - h**7/105 - h**6/80 + 3*h**5/20 - 982*h**2. Determine l so that v(l) = 0.
-2, 0, 3
Let h be ((140/75)/7)/(4 + (-10 - -8)). Let p(k) be the third derivative of 0 + 7/300*k**5 - 1/6*k**4 + h*k**3 - 19*k**2 + 0*k + 3/200*k**6. Factor p(s).
(s - 1)*(s + 2)*(9*s - 2)/5
Let v(z) be the first derivative of -z**8/2688 + z**7/1680 + z**6/480 + z**2 - 66. Let a(t) be the second derivative of v(t). Suppose a(l) = 0. Calculate l.
-1, 0, 2
Suppose -8*p + 3*p = -255. Let b = -49 + p. Determine x so that 4 - 5*x**3 - 4*x + 0*x**3 - 5*x**2 + 0*x**b - 8*x**2 = 0.
-2, -1, 2/5
Let k(a) = -18*a**3 - 134*a**2 - 775*a - 1408. Let w(z) = 16*z**3 + 132*z**2 + 774*z + 1408. Let o(m) = 6*k(m) + 7*w(m). Factor o(c).
4*(c + 4)**2*(c + 22)
Factor 48*f**2 + 1017 + f**3 + 567*f + 19*f**2 - 22*f**2 + 306.
(f + 3)*(f + 21)**2
Let g(x) be the first derivative of x**3/12 - 27*x**2/8 + 85*x/2 + 3502. Factor g(w).
(w - 17)*(w - 10)/4
Let 5/2*a**3 + 110*a - 100 - 35*a**2 = 0. Calculate a.
2, 10
Let i(p) be the first derivative of 2*p**3/27 + 611*p**2/9 - 136*p + 4013. Factor i(m).
2*(m - 1)*(m + 612)/9
Let x = 2931926/5 - 586384. Find s, given that -36/5 + 2/5*s**2 + x*s = 0.
-6, 3
Let i(y) = y**2 + y - 2. Let v be i(2). Factor -48152 - 5*k**v + 48152 - 15*k**3.
-5*k**3*(k + 3)
Let -10 - 53/4*o + 13*o**3 + 7/2*o**4 + 1/4*o**5 + 13/2*o**2 = 0. What is o?
-8, -5, -1, 1
Factor -56299*u - 8 + 56283*u + 52*u**2 + 8.
4*u*(13*u - 4)
Let n(y) be the second derivative of 18 - 11/9*y**3 + 26/3*y**2 - 1/18*y**4 + 3*y. Factor n(a).
-2*(a - 2)*(a + 13)/3
Let s = -32 + 26. Let o(a) = -11*a**4 - 5*a**3. Let r(t) = 45*t**4 + 20*t**3. Let m(q) = s*r(q) - 25*o(q). Factor m(h).
5*h**3*(h + 1)
Let v = 36 + -36. Let 14*r**3 + 15 - 35*r - 50*r**2 - 15*r**5 + 36*r**3 + v*r**3 + 35*r**4 = 0. Calculate r.
-1, 1/3, 1, 3
Let l(q) be the first derivative of q**5/180 - q**4/36 - 4*q**3/3 - q**2/2 - 2*q - 149. Let g(u) be the second derivative of l(u). Let g(c) = 0. Calculate c.
-4, 6
Let b(o) be the first derivative of -3/4*o**2 + 1/3*o**3 - 18*o - 25 - 1/24*o**4. Let w(j) be the first derivative of b(j). Suppose w(x) = 0. Calculate x.
1, 3
Let l(m) be the second derivative of 2*m + 1/7*m**3 + 1/4*m**4 + 6 + 0*m**2. Factor l(w).
3*w*(7*w + 2)/7
Let h(c) be the third derivative of c**5/15 - 4*c**4 + 46*c**3/3 + c**2 - 716*c. Factor h(f).
4*(f - 23)*(f - 1)
Let a(t) be the third derivative of t**5/30 - 11*t**4/72 - 7*t**3/6 - 1194*t**2. Find l such that a(l) = 0.
-7/6, 3
Let q = 349207 - 349205. Find z such that -1/2*z**q + 7*z - 49/2 = 0.
7
Let y be 243/6*2/3. Factor -2*u**5 - 59*u**2 + 7*u**5 - y*u**4 + 185*u**3 + 80*u - 179*u**2 + 28*u**2 - 33*u**4.
5*u*(u - 8)*(u - 2)*(u - 1)**2
Let a(i) be the second derivative of i**6/30 - 7*i**5/10 + 13*i**4/12 + 203*i - 1. Factor a(d).
d**2*(d - 13)*(d - 1)
Let u be 14 + 70/(-1 + -6). Let t(b) be the second derivative of -3/32*b**u + 0*b**3 + 0*b**2 + b + 0 + 3/160*b**5. Let t(l) = 0. Calculate l.
0, 3
Let g(o) be the third derivative of 1/135*o**5 - 8/27*o**3 - 190*o**2 + 0*o - 1/1080*o**6 + 0 + 1/54*o**4. Solve g(x) = 0 for x.
-2, 2, 4
Let f be (5/10)/((-2)/24). Let o be f/8 - 187/(-68). Factor -8*z**2 - 10*z - 4*z - 4*z**o - 2.
-2*(z + 1)*(6*z + 1)
Let t(k) be the second derivative of 2205/8*k**2 + 5/48*k**4 + 0 + 39*k + 35/4*k**3. Factor t(c).
5*(c + 21)**2/4
Let j(x) be the second derivative of -7*x**4/4 + 4941*x**3 + 4236*x**2 - x - 297. Solve j(t) = 0.
-2/7, 1412
Let x = -66 - -129. Let n = 91 - x. Solve 0 + 7*a**3 + n*a**3 + 3 + 3*a**5 + 15*a + 30*a**2 + 15*a**4 - 5*a**3 = 0.
-1
Let h(c) be the third derivative of c**8/896 + 3*c**7/56 + 3*c**6/5 - 16*c**5/5 + 1330*c**2. Determine m so that h(m) = 0.
-16, 0, 2
Let b be (-7 - 348/(-48)) + (-19)/(-4). Let a be ((-75)/9 + b)*(-30)/25. What is l in 1/3*l**2 + 0*l - 3/2*l**a + 0 - 7/6*l**3 = 0?
-1, 0, 2/9
Let x = 20 + -96. Let q be x/(-3) + 44/(-33). Suppose -w**4 + 4 + w**3 - w**2 - 21*w - 2 - 4*w**3 + q*w = 0. Calculate w.
-2, -1, 1
Let d be (-1 - (0 - 0))*(-2 + 2)/3. Let p(c) be the second derivative of -3/140*c**5 + d*c**4 + 0 + 3/7*c**2 + 12*c + 3/14*c**3. Factor p(k).
-3*(k - 2)*(k + 1)**2/7
Let p(n) be the third derivative of 729*n**8/784 - 29403*n**7/490 + 395307*n**6/280 - 1771561*n**5/140 + 14*n**2 - n + 11. Determine c so that p(c) = 0.
0, 121/9
Let s(w) = -8*w**2 - w + 4. Let t(p) = -43*p**2 - 170*p + 188. Let l(j) = 5*s(j) - t(j). Factor l(o).
3*(o - 1)*(o + 56)
Let p be 12/1 - (200 + -192). Determine i so that -6/5*i**2 + 2/5*i**p + 0*i**3 + 0 + 4/5*i = 0.
-2, 0, 1
Suppose -985 = -20*k + 415. Let n be 20/k + (-1644)/266 - -6. Factor -n*o**5 + 0*o + 0 - 8/19*o**4 - 6/19*o**3 + 0*o**2.
-2*o**3*(o + 1)*(o + 3)/19
Let v(a) be the first derivative of 26/5*a**2 - 676/5*a - 155 - 1/15*a**3. Solve v(t) = 0.
26
Suppose 7*o - 20 - 15 = 0. Suppose -x = 3*g + 1, o*g - 4 = -4*x + 6. Factor 4/5*z**2 - 4/5*z - z**4 + 2/5*z**3 + 2/5*z**x + 1/5.
(z - 1)**3*(z + 1)*(2*z - 1)/5
Let b be ((-649)/59 + ((-4)/(-1) - 5 - -9))*-82. Suppose -25*v**4 + 190*v - 1585/2*v**3 - 64 + b*v**2 = 0. What is v?
-32, -1/2, 2/5
Let x(r) be the third derivative of 0*r + 1/20*r**5 + 5*r**4 + 20*r**2 + 1 + 200*r**3. Factor x(n).
3*(n + 20)**2
Find j such that -135/2 - 141/4*j - 3/4*j**2 = 0.
-45, -2
Let z(g) be the first derivative of -g**4/10 + 38*g**3/15 + 57*g**2/5 - 126*g + 6511. Solve z(s) = 0.
-5, 3, 21
Let k(x) be the second derivative of -x**8/30240 + x**7/2268 + x**6/540 - 25*x**4/12 - 190*x. Let i(g) be the third derivative of k(g). What is s in i(s) = 0?
-1, 0, 6
Let j(w) be the third derivative of -3*w**6/10 - 23*w**5/15 + 16*w**4/3 + 565*w**2 + 2. Find f, given that j(f) = 0.
-32/9, 0, 1
Suppose -4/3*q**2 - 10/3*q - 16/9 + 2/9*q**3 = 0. What is q?
-1, 8
Suppose -12 = -3*b - w, 0 = -b - 3*b + w + 9. Let l be 4/b + -1 + 14/3. Let 3*u - 4*u**3 + 38 - 4*u + l*u**3 + u**2 - 39 = 0. What is u?
-1, 1
Let g(b) = -3*b**2 - 48*b + 1004. Let j(q) = 3*q**2 + 48*q - 1005. Let i(o) = 3*g