v).
-(v - 4)*(v + 3)
Let s(b) = -b**4 - 6*b**3 - 16*b**2 + 73*b + 49. Let z(n) = -n**4 - 7*n**3 - 11*n**2 + 73*n + 48. Let x(i) = -6*s(i) + 7*z(i). Let x(m) = 0. Calculate m.
-14, -1, 3
Let p(q) = -10*q**2 - 3*q - 1. Let f(k) = -k - 26. Let i be f(-18). Let h be ((-4)/i)/(2/8). Let u(y) = 3*y**2 + y. Let b(w) = h*p(w) + 7*u(w). Solve b(d) = 0.
-2, 1
Let c = 64 + -58. Factor c*q + 8*q**5 - 6*q**3 - 7*q**5 - 9*q - 8*q**2 + 0*q.
q*(q - 3)*(q + 1)**3
Let k = 884287/6 - 147381. Factor 1/3*r**2 - 4/3 + 2/3*r - k*r**3.
-(r - 2)**2*(r + 2)/6
Let u = -18302/35 + 523. Let l(r) be the third derivative of 0*r + u*r**7 + 2*r**2 + 0*r**4 - 11/60*r**6 + 1/15*r**5 + 0 + 0*r**3. Factor l(z).
2*z**2*(z - 1)*(9*z - 2)
Suppose -7*f = 11 + 17. Let x be 9/f*(-40)/30. Factor -2*o + 4*o**3 + 2*o**2 - 3*o**3 - o**x + 2*o**3 - 2.
2*(o - 1)*(o + 1)**2
Let k(f) be the first derivative of 3/14*f**2 + 125 + 0*f**3 + 2/7*f - 1/28*f**4. Let k(l) = 0. Calculate l.
-1, 2
Let o be ((-3)/(-6))/(16/(-56) - 126/(-98)). Factor 0 + o*r + 1/4*r**2.
r*(r + 2)/4
Suppose f + 3*y + 8 = 20, 4*f = 3*y - 12. Let n be ((-6)/4 - f) + 5 + -2. Factor -n*k**3 + 375/2 + 45/2*k**2 - 225/2*k.
-3*(k - 5)**3/2
Let w(r) be the first derivative of 7/2*r**4 - 32*r + 2/5*r**5 + 8*r**3 - 27 - 4*r**2. Factor w(l).
2*(l - 1)*(l + 2)**2*(l + 4)
Let r(a) be the second derivative of -a**5/10 - 239*a**4/6 + 481*a**3/3 - 241*a**2 + 443*a + 2. Factor r(j).
-2*(j - 1)**2*(j + 241)
Let n(t) be the second derivative of -t**4/48 + 7*t**3/8 - 13*t**2 - 3767*t. Let n(z) = 0. Calculate z.
8, 13
Let w(i) be the first derivative of -i**3/5 - 267*i**2/10 + 54*i + 411. Solve w(p) = 0.
-90, 1
Let y be (-3)/(-1) + 1 + -1. Let j(a) = 3*a**2 + 11*a + 19. Let b be j(-9). Find l such that -263*l**2 - 24 - 177*l - b*l**2 - 7*l + 4*l - 315*l**y = 0.
-2/3, -2/5, -2/7
Let g(c) = -3*c**3 - 20*c**2 - 86*c - 432. Let n be g(-6). Factor 72/7 + n*r**2 - 6/7*r**3 - 150/7*r.
-6*(r - 12)*(r - 1)**2/7
Let p(r) = r**2 - 35*r + 36. Let q be p(34). Factor -28*x**q - 4*x**3 + 5*x - 41*x - 12*x.
-4*x*(x + 3)*(x + 4)
Let l = 8834169 - 167659791/19. Let q = l + -4273174/437. Find k, given that -32/23 + 10816/23*k**3 + 640/23*k - 4368/23*k**2 - q*k**4 = 0.
2/13, 2
Factor 1/6*r**2 + 0 + 7/2*r.
r*(r + 21)/6
Let u(t) be the third derivative of 5*t**7/7 + 509*t**6/24 + 1303*t**5/12 + 995*t**4/6 - 70*t**3/3 - 2*t**2 + 402*t + 8. What is i in u(i) = 0?
-14, -2, -1, 1/30
Suppose -3*h - 1 = -2*p, -2*h - 7*p + 373 = 332. Factor 1 + 1/2*x**4 - 4*x - 11/4*x**h + 21/4*x**2.
(x - 2)**2*(x - 1)*(2*x - 1)/4
Find m such that 18335524/3 + 4/3*m**2 - 17128/3*m = 0.
2141
Suppose -186 = -10*g - 4*l - 224, -g - 48 = 3*l. Factor 238/3*h**g + 0 - 150*h - 8/3*h**4 - 580*h**2.
-2*h*(h - 15)**2*(4*h + 1)/3
Factor 296/3 - 4/3*t**3 - 296/3*t**2 + 4/3*t.
-4*(t - 1)*(t + 1)*(t + 74)/3
Let s = 7643/16215 + 67/1081. Suppose 0*k + 2/15*k**5 + s*k**4 + 0 + 0*k**2 + 2/5*k**3 = 0. Calculate k.
-3, -1, 0
Let a = -41191 + 41236. Let d(n) be the second derivative of 5*n**2 - 1/4*n**5 + a*n + 0 - 5/4*n**4 + 1/6*n**6 + 5/6*n**3. Suppose d(w) = 0. What is w?
-1, 1, 2
Let w(d) be the second derivative of 32*d**5/45 + 520*d**4/9 + 16900*d**3/9 + 274625*d**2/9 + 3301*d. What is m in w(m) = 0?
-65/4
Let d(g) be the first derivative of -g**6/144 + 9*g**5/16 + 35*g**4/12 - g**3 - 19*g - 5. Let t(s) be the third derivative of d(s). Factor t(k).
-5*(k - 28)*(k + 1)/2
Let u be -41*(-69)/(1213641/78). What is p in 0*p - u*p**2 + 18/11 = 0?
-3, 3
Let z be (-7 - -22 - 16) + (1 - -150). Let t be (63/24)/(z/100). Factor 3/2 + 0*p**2 + 1/4*p**3 - t*p.
(p - 2)*(p - 1)*(p + 3)/4
Let y(h) be the second derivative of 25 - 17/21*h**3 - 2*h - 1/210*h**5 - 3*h**2 - 13/126*h**4. Factor y(o).
-2*(o + 3)**2*(o + 7)/21
Let j(y) be the first derivative of -y**4/4 + 47*y**3/3 - 3535. Let j(i) = 0. Calculate i.
0, 47
Suppose 1/5*k**3 + 10*k**2 + 377/5*k - 6728/5 = 0. Calculate k.
-29, 8
Let d(q) = -6*q**3 - 46*q**2 + 315*q + 39. Let o be d(-12). Find i, given that -10*i**2 - 5/3*i**o - 15*i - 20/3 = 0.
-4, -1
Suppose -h + 13 = 5*l, 3*h - 14 = -l - h. Factor 12 + 28 - 4*u**3 + 1178*u**l - 1173*u**2 - u**3 + 50*u.
-5*(u - 4)*(u + 1)*(u + 2)
Factor 1975*c**2 + 5*c**4 + 54*c**3 - 1760*c**2 + 16*c**3 + 150*c.
5*c*(c + 1)*(c + 3)*(c + 10)
Suppose 3*m = f - 9, -198*f = -199*f + 7*m + 21. Factor f + 1/7*a**3 + 16/7*a + 8/7*a**2.
a*(a + 4)**2/7
Determine a, given that 14/11 - 12/11*a - 2/11*a**2 = 0.
-7, 1
Let y = -21/215 + 417/43. Let g(v) be the first derivative of -1/10*v**4 - 2*v**3 + 128/5*v - 17 - y*v**2. Let g(c) = 0. What is c?
-8, 1
Let m(v) be the second derivative of 11*v**7/14 + 76*v**6/5 - 1371*v**5/20 - 3349*v**4/2 + 11264*v**3 - 5808*v**2 - v - 7780. Suppose m(k) = 0. What is k?
-11, 2/11, 4
Let w(f) = -9*f**4 + 5*f**3 + 90*f**2 - 264*f + 200. Let z(d) = d**4 + d. Let v be 8/12 + 2/6. Let p(s) = v*w(s) + 4*z(s). Factor p(j).
-5*(j - 2)**3*(j + 5)
Let x = 126482/5 + -25296. Solve -578/5 - x*w**2 + 68/5*w = 0 for w.
17
Factor 77*x - 20*x + 189*x**4 + 36*x**3 + 27*x**3 - 186*x**4 + 117*x**2.
3*x*(x + 1)**2*(x + 19)
Let i(h) be the first derivative of -4/3*h**3 - 7/2*h**2 + 1/4*h**4 - 25 + 10*h. Factor i(o).
(o - 5)*(o - 1)*(o + 2)
Let t(q) be the first derivative of 52 + 18/7*q - 3/28*q**4 + 3/14*q**2 - 6/7*q**3. Factor t(l).
-3*(l - 1)*(l + 1)*(l + 6)/7
Let t be (48 - 37) + (-1 - (-140)/(-15)). Determine q so that -t*q**2 - q + 20/3 = 0.
-4, 5/2
Let n be ((-6)/16)/(3/(-2)). Let g be 91/104 - (3 + 69/(-24)). Factor g*l**2 + 0 + n*l + 3/4*l**3 + 1/4*l**4.
l*(l + 1)**3/4
Let a(k) be the third derivative of -1/110*k**5 + 71*k**2 - 1/44*k**4 - 1/33*k**3 + 0*k + 0 - 1/660*k**6. Let a(h) = 0. Calculate h.
-1
Suppose 135 - 107 = 14*h. Suppose 2*q = -4*c + 26, -3*c - h*q + 6 + 16 = 0. Find z, given that 0 - 2/17*z**3 + 4/17*z - 2/17*z**5 - 6/17*z**c + 6/17*z**2 = 0.
-2, -1, 0, 1
Let t(m) be the second derivative of m**5/15 + 13*m**4/9 + 44*m**3/9 - 819*m. Suppose t(w) = 0. What is w?
-11, -2, 0
Let y(d) be the third derivative of -d**6/1140 + 7*d**4/228 + 2*d**3/19 + 80*d**2 - 18*d. Factor y(v).
-2*(v - 3)*(v + 1)*(v + 2)/19
Suppose 592*h - 874 = 902. Factor -4/5 - 8/5*o**2 + 2*o + 2/5*o**h.
2*(o - 2)*(o - 1)**2/5
Let p be (324/63)/(6/2961). Let -3*a**3 + 462 + p + 81*a - 466*a - 515*a + 90*a**2 = 0. Calculate a.
10
Let x(g) be the third derivative of 1/20*g**5 - 2*g + 19*g**2 + 0 + 5/8*g**4 + 3*g**3. Solve x(h) = 0 for h.
-3, -2
Determine p so that -128/3*p**2 - 100 + 538/3*p - 2*p**3 = 0.
-25, 2/3, 3
Let s(j) be the third derivative of j**7/168 + j**6/72 - j**5/4 - 41*j**3/3 + 29*j**2. Let f(x) be the first derivative of s(x). Let f(n) = 0. Calculate n.
-3, 0, 2
Let i(a) be the first derivative of 0*a - 10*a**2 - 16/3*a**3 + 35 + 1/5*a**5 - 1/4*a**4. Find u such that i(u) = 0.
-2, 0, 5
Let f = -10/14930773 - -28234115193/35012662685. Let g = f - 3/469. Factor -g*t + 0 - 4/5*t**2.
-4*t*(t + 1)/5
Let j = -4963 + 4967. Let q(y) be the third derivative of 1/168*y**8 - 1/60*y**6 + 0*y**5 + 0*y**3 + 0 + 0*y + 18*y**2 + 0*y**j + 0*y**7. Factor q(n).
2*n**3*(n - 1)*(n + 1)
Suppose 2*g - 5*g + 16*g = 78. Let n(o) be the second derivative of -1/27*o**3 - 1/54*o**4 + 1/135*o**g + 0 + 8*o + 1/90*o**5 + 0*o**2. Factor n(t).
2*t*(t - 1)*(t + 1)**2/9
Let k = -45 + 53. Suppose -9*c = -k*c - 6. Factor c*s**2 + 5*s + 4 + 9*s + s + 2.
3*(s + 2)*(2*s + 1)
Suppose 0 = 18*t - 16 - 38. Suppose 9*j - x = 4*j + 4, j - 4*x = -t. Factor 4/3*w + j + 1/3*w**2.
(w + 1)*(w + 3)/3
Let y(w) be the second derivative of 17/36*w**4 - 2/3*w**2 + 0 - 16/9*w**3 - 92*w. Factor y(t).
(t - 2)*(17*t + 2)/3
Let m(r) be the second derivative of 0*r**2 - 2 + 3/80*r**5 + 31/8*r**3 - 2*r**4 - 107*r. Factor m(i).
3*i*(i - 31)*(i - 1)/4
Let v(y) be the third derivative of 0 + 8/15*y**6 - 6*y**5 - 126*y**3 + 199*y**2 - 2/105*y**7 + 36*y**4 + 0*y. Let v(o) = 0. What is o?
3, 7
Let g be (-198)/(-63) - (-1)/(-7). Let q(h) be the second derivative of -25*h - 10/7*h**g + 1/3*h**4 - 1/35*h**5 + 0 + 18/7*h**2. Let q(i) = 0. Calculate i.
1, 3
Let b(q) be the first derivative of q**5 + 25*q**4/4 - 10*q**3 + 1718. Factor b(j).
5*j**2*(j - 1)*(j + 6)
Let j(k) be the first derivative of -4*k**5/15 - 49*k**4 + 596*k**3/3 - 898*k**2/3 + 200*k + 1347. Factor j(u).
-4*(u - 1)**3*(u +