+ 1). Factor -n + 7/4*j - 3/4*j**2.
-(j - 2)*(3*j - 1)/4
Let i(z) be the second derivative of -1/30*z**5 + 0 - 8/21*z**2 + 4/9*z**3 + 1/63*z**6 - 1/7*z**4 + 62*z. What is b in i(b) = 0?
-2, 2/5, 1, 2
Let a(i) = 4*i**2 + 18 + 5*i**2 - 56*i - 6*i**2 - 28*i - 23*i. Let k be a(36). Find l, given that 74/3*l**2 - 4/3*l**3 + k - 120*l = 0.
1/2, 9
Let q(g) be the third derivative of 0 + 1/30*g**4 - 11/450*g**5 - 14*g**2 - 1/75*g**6 + 1/315*g**7 + 0*g**3 + 0*g. Determine k so that q(k) = 0.
-1, 0, 2/5, 3
Let j(c) be the first derivative of 10/27*c**3 + 1/54*c**4 - 3 + 25/9*c**2 - 7*c. Let y(i) be the first derivative of j(i). Let y(o) = 0. Calculate o.
-5
Let y = -410 - -494. Solve -748*s - 80*s**2 + 20*s + y*s**2 + 861 + 32263 = 0 for s.
91
Let t(f) = 3*f + 6 - 5*f - 5*f + f. Let d be t(-3). Factor 19*n**4 + 10*n**2 + 2*n**3 + 3*n**3 - d*n**4.
-5*n**2*(n - 2)*(n + 1)
Let a(m) be the third derivative of 0*m - 1/525*m**7 - 4/15*m**4 - 43*m**2 + 4/75*m**6 + m**3 + 0 - 7/75*m**5. Determine p so that a(p) = 0.
-1, 1, 15
Let f be ((-1)/2)/((-2)/(-232 - 0)). Let b be (f/(-15) + -4)*-6. Factor -48/5*p**2 - 256/5 + 192/5*p + b*p**3.
4*(p - 4)**3/5
Let d(m) be the first derivative of -m**3/12 - 23*m**2/8 + 6*m + 686. Factor d(g).
-(g - 1)*(g + 24)/4
Let j = 67313/84160 + 3/16832. Factor -108/5 + 216/5*m - 144/5*m**2 - j*m**4 + 8*m**3.
-4*(m - 3)**3*(m - 1)/5
Suppose 0 + 1/6*r**4 + 2/3*r**3 + 4*r - 29/6*r**2 = 0. Calculate r.
-8, 0, 1, 3
Let o(b) be the first derivative of 2*b**5/15 - b**4/6 - 4*b**3/3 + 4*b**2/3 + 16*b/3 + 1298. Factor o(k).
2*(k - 2)**2*(k + 1)*(k + 2)/3
Let f be (2/6)/(7/(-42)). Let p be 4 + (0 - (3 + f)). Factor -22*r + r**4 + 11*r**4 + 92*r**p - 42*r + 160*r**2.
4*r*(r + 4)**2*(3*r - 1)
Let 23300*k - 24*k**2 - 23264*k + 1747 + 3*k**4 - 9*k**3 - 1699 = 0. What is k?
-2, -1, 2, 4
Let o(d) = -d**2 - 12*d - 34. Let a be o(-7). Suppose -a = -p + 3*n - 13, -p - n = -4. Factor p*v**2 - v**5 + 0*v + 0*v**3 - 1/3*v**4 + 0.
-v**4*(3*v + 1)/3
Factor 36*l**4 - 41*l**4 + 155*l**2 + 3570*l**3 - 3640*l**3 - 80*l.
-5*l*(l - 1)**2*(l + 16)
Let r = -38 + 110. Determine c, given that 6402 - 6402 - r*c**4 - 4*c**5 - 384*c**3 - 512*c**2 = 0.
-8, -2, 0
Let n(x) be the third derivative of 17*x**6/120 - 2*x**5/5 - 13*x**4/2 - 40*x**3/3 - 3*x**2 + 439. Factor n(h).
(h - 4)*(h + 2)*(17*h + 10)
Let k(l) be the third derivative of -l**7/840 - 23*l**6/480 - 149*l**5/240 - 337*l**4/96 - 35*l**3/4 - 5308*l**2. Let k(s) = 0. What is s?
-14, -5, -3, -1
Let o(b) be the first derivative of 4*b**5/5 - 24*b**4 - 4*b**3 + 140*b**2 + 192*b + 8216. Factor o(f).
4*(f - 24)*(f - 2)*(f + 1)**2
Let g be (34 - 36)/(-4 + 10/3). Let j(x) be the first derivative of -2/3*x**g + 0*x - 5/12*x**4 + 0*x**2 + 2/15*x**5 - 21 + 1/18*x**6. Factor j(u).
u**2*(u - 2)*(u + 1)*(u + 3)/3
Let d be 11/5 + 67/(-335). What is b in 161*b**2 + 0*b**4 - 32*b**3 - 4*b**4 + 0*b**3 - 125*b**d = 0?
-9, 0, 1
Suppose -550*a**2 - 128/11 + 160*a = 0. What is a?
8/55
Let z(a) be the first derivative of a**7/168 - a**6/12 + 85*a**3/3 - 64. Let t(o) be the third derivative of z(o). Suppose t(w) = 0. Calculate w.
0, 6
Let q(s) be the second derivative of -1/55*s**5 - 1/66*s**4 + 3*s + 1/11*s**2 + 0 + 2/33*s**3. Suppose q(t) = 0. Calculate t.
-1, -1/2, 1
Determine n so that -50/21*n + 2/21*n**3 - 22/7 + 6/7*n**2 = 0.
-11, -1, 3
Let -982/9 + 2/9*b**2 + 980/9*b = 0. What is b?
-491, 1
Solve 15*h + 5*h**3 - 26 + 5*h**2 - 17*h**2 + 24*h**2 - 6*h**3 = 0 for h.
-2, 1, 13
Suppose -1209*b = -1206*b - 9. Let c be (174/(-54) - -3)/((-1)/b). Factor -2/3*h**2 - c*h + 0.
-2*h*(h + 1)/3
Let i(x) = -5*x**3 - 15*x**2 - 5*x + 5. Let o(v) = v**2 + v. Let u(y) = y**3 - 23*y**2 - 49*y - 15. Let n be u(25). Let b(l) = n*o(l) + i(l). Factor b(j).
-5*(j - 1)*(j + 1)**2
Let g(f) be the second derivative of 105*f - 1/30*f**4 + 0 + 0*f**2 - 1/100*f**5 + 1/10*f**3. Suppose g(p) = 0. Calculate p.
-3, 0, 1
Let l(c) be the second derivative of -c**6/105 - c**5/7 + 26*c**4/21 - 8*c**3/3 + 1656*c. Suppose l(k) = 0. What is k?
-14, 0, 2
Factor 2/9*u**3 + 0 + 32/3*u + 38/9*u**2.
2*u*(u + 3)*(u + 16)/9
Let r(h) = -21486*h + 214872. Let i be r(10). Let -56/5 + 52/5*n - 4/5*n**4 - 52/5*n**3 + i*n**2 = 0. Calculate n.
-14, -1, 1
Suppose 184 = 4*z - z + 2*g, g = -z + 60. Let x = -62 + z. What is h in 38*h**3 + 39*h**3 - 12*h + 0*h**x - 2*h**2 - 75*h**3 = 0?
-2, 0, 3
Let c(s) be the third derivative of -7*s**7/30 - 37*s**6/24 - 87*s**5/20 - 163*s**4/24 - 19*s**3/3 - 14587*s**2. Solve c(f) = 0.
-1, -38/49
Suppose -2*c - 6*t + 2*t = 14, -25 = -5*c + 2*t. Let c*k**2 + 22*k + 4356 + k**2 - 286*k = 0. Calculate k.
33
Suppose -5*g = -4*d + 12, -100 + 68 = 6*d - 10*d. Suppose 0*k - 3/5*k**5 - 6/5*k**g + 0 + 0*k**2 + 24/5*k**3 = 0. Calculate k.
-4, 0, 2
Let m(k) = 2*k**2 + 45*k + 3 - 10 - 81*k + 25*k - 5*k**3. Let r(s) = 4*s**3 - 2*s**2 + 10*s + 6. Let v(y) = -6*m(y) - 7*r(y). Determine o, given that v(o) = 0.
-2, 0, 1
Find x, given that -513*x**4 + 1467*x + 3057/2*x**2 + 294 + 21/4*x**5 - 651/4*x**3 = 0.
-1, -2/7, 2, 98
Let y(z) be the third derivative of -z**6/900 - 167*z**5/30 - 139445*z**4/12 - 116436575*z**3/9 - z**2 + 19*z + 10. Factor y(k).
-2*(k + 835)**3/15
Let i = 217764 - 1959830/9. Determine x so that -i*x**2 + 44/9*x + 2/9*x**3 + 0 = 0.
0, 1, 22
What is u in -44*u + 304/3*u**2 - 632/9*u**3 + 0 + 112/9*u**4 + 4/9*u**5 = 0?
-33, 0, 1, 3
Let -42/5*j**3 + 74/5*j**2 + 8/5*j**4 - 48/5*j + 8/5 = 0. What is j?
1/4, 1, 2
Let 160*y**2 - 5*y**5 + 40*y**4 + 282*y**3 + 11*y**4 + 10*y**5 + 14*y**4 - 512*y**3 = 0. What is y?
-16, 0, 1, 2
Find w, given that -27*w**3 - 1/2*w**4 + 0 + 384*w - 136*w**2 = 0.
-48, -8, 0, 2
Let m(w) be the first derivative of 4*w**3 + 297*w**2/2 - 75*w - 3993. Let m(x) = 0. Calculate x.
-25, 1/4
Suppose -13*m - 3*m = -1136. Let t = m - 66. Determine h so that 27*h**5 - 2*h**3 + 3*h**3 - 23*h**t - 5*h**3 = 0.
-1, 0, 1
Let k(y) = y + 23. Let z = -43 - -26. Let b be k(z). Factor -15*c**3 + 7*c + 11*c - 4*c + b*c + 5*c**4.
5*c*(c - 2)**2*(c + 1)
Let u be (-5)/(-30) + 7/12. Let t(o) = -392*o + 16072. Let k be t(41). Factor -u*v**4 + 0 - 1/4*v**5 + k*v**3 + 0*v + v**2.
-v**2*(v - 1)*(v + 2)**2/4
Let b = -135 - -137. Factor -3*z**b - 2*z**4 - 21*z**2 - 538*z + 538*z + 14*z**3.
-2*z**2*(z - 4)*(z - 3)
Let u = 75160 - 75158. Factor 0*p**3 + 0 - 2/5*p**5 + 2/5*p + 4/5*p**u - 4/5*p**4.
-2*p*(p - 1)*(p + 1)**3/5
Let p(k) be the second derivative of -k**5/10 + 3*k**4/2 + 112*k**3/3 + 3463*k. Solve p(s) = 0.
-7, 0, 16
Let r(b) be the first derivative of b**4/4 + 12*b**3 + 285*b**2/2 + 650*b + 4930. Factor r(z).
(z + 5)**2*(z + 26)
Suppose -2 = 3*n - 11. Factor n*o**4 + 516*o**2 + 6 + 10*o + 2*o**5 - 12*o**3 + 520*o**2 - 1040*o**2 - 5*o**4.
2*(o - 3)*(o - 1)*(o + 1)**3
Let c be 6/1*(-419)/1676*-2. Factor -21/5*u**2 - c*u + 3*u**3 + 21/5.
3*(u - 1)*(u + 1)*(5*u - 7)/5
Let h = -145005/2 + 72503. Find g, given that 9/2*g - h*g**2 + 5 = 0.
-1, 10
Let a(s) = -28*s**4 + 160*s**3 + 20*s**2 - 840*s + 48. Let z(l) = 5*l**4 - 32*l**3 - 4*l**2 + 168*l - 9. Let x(h) = -3*a(h) - 16*z(h). Factor x(j).
4*j*(j - 2)*(j + 3)*(j + 7)
Determine a, given that -45*a**5 - 5600 - 791*a**4 + 3920*a - 730*a - 3025*a**2 + 56*a**4 + 5000 - 3185*a**3 = 0.
-10, -4, -3, 1/3
Let t(m) be the third derivative of -5*m**8/1344 + 5*m**7/168 - m**6/32 - 17*m**5/48 + 35*m**4/24 - 5*m**3/2 - 1445*m**2. Determine j so that t(j) = 0.
-2, 1, 2, 3
Let o(b) = -40*b**3 + 5*b**2 + 720*b + 680. Let s(m) = 3*m**3 + m**2 + m + 2. Let d(v) = o(v) + 5*s(v). Suppose d(c) = 0. What is c?
-23/5, -1, 6
Let v(u) be the second derivative of -u**5/30 + 2*u**4 + 56*u**2 - 98*u + 1. Let q(a) be the first derivative of v(a). Factor q(t).
-2*t*(t - 24)
Let y(p) = -491415*p**3 + 2937591*p**2 + 65100*p + 321. Let o(i) = 196566*i**3 - 1175037*i**2 - 26040*i - 129. Let d(g) = -13*o(g) - 5*y(g). Factor d(z).
-3*(z - 6)*(181*z + 2)**2
Let q be (0 + (-8)/(-12))*96/2240. Let h(x) be the second derivative of 0 + 0*x**2 + 0*x**3 - 11*x + 0*x**4 + q*x**5. Factor h(l).
4*l**3/7
Suppose 0 = 2*y - m - 5, -7*y = -5*m + 149 - 165. Determine z so that 4/3 + 4/3*z**y - 1/3*z**4 - z**2 - 4/3*z = 0.
-1, 1, 2
Let r be ((-7)/(84/18))/(2/4). Let a be 0 + 3/r - -4. Let -6*l**4 - 6*l**2 + a*l**4 + 9*l**2 = 0. What is l?
-1, 0, 1
Let h(w) 