e ((-18)/(-24))/(99/176) - ((-16)/6 - -2). Factor 116/5*d - 3364/5 - 1/5*d**j.
-(d - 58)**2/5
Let z = 249 - 264. Let i(c) = 18*c**2 + c**3 + 4*c**3 + 7*c**3 + 15*c. Let j(g) = -g**3 - g**2 - g. Let f(b) = z*j(b) - i(b). Let f(u) = 0. What is u?
0, 1
Determine o, given that -236/5*o**2 + 304/5 - 296/5*o - 6/5*o**3 = 0.
-38, -2, 2/3
Let k(y) = -6*y**4 + 9*y**3 - 3*y**2 + y + 4. Let v(j) = -j**4 + j**3 + j. Suppose 5*i + 8 = w + 23, -27 = -3*w - 3*i. Let b(f) = w*v(f) - k(f). Factor b(d).
(d - 2)**2*(d - 1)*(d + 1)
Suppose -2852 = 12*w + 2116. Let v = 1246/3 + w. Solve 2*p**3 + v*p - 1/3*p**4 - 3*p**2 + 0 = 0 for p.
0, 1, 4
Let t(l) = -l**3 + 47*l**2 + 51*l - 141. Let a be t(48). Factor 5 - c**5 + 0*c**5 + 1930*c**a - 8*c**4 - 5 - 6*c**2 - 1943*c**3.
-c**2*(c + 1)**2*(c + 6)
Let i = 96 - 94. Suppose 6*n - i*n - 24*n = 0. Solve n + 3/8*v + 3/4*v**2 = 0 for v.
-1/2, 0
Let a(f) be the first derivative of -2/27*f**4 + 0*f - 5*f**2 + 1/135*f**5 + 0*f**3 + 10. Let v(t) be the second derivative of a(t). Factor v(n).
4*n*(n - 4)/9
Let i be 1/(-3)*-24 + (-9)/3. Suppose 0 = -i*n + 3*s + 13, 2*n - 7 = -2*s - 5. Find j such that 1/2*j**3 - 2*j**2 + n*j + 0 = 0.
0, 2
Let i(s) be the second derivative of s**6/105 - s**5/35 - 6*s**4/7 - 88*s**3/21 - 64*s**2/7 + 868*s. Determine c so that i(c) = 0.
-2, 8
Suppose 96882 - 3*c**4 + 81*c**3 - 96882 + 144*c - 222*c**2 = 0. What is c?
0, 1, 2, 24
Suppose -2*p**2 - 28734*p - 31304*p + 4122 + 55918*p = 0. What is p?
-2061, 1
Let r(o) be the first derivative of -o**7/630 - 7*o**6/1080 + 7*o**5/180 - o**4/24 + o**3/3 + 6*o - 67. Let u(f) be the third derivative of r(f). Factor u(m).
-(m - 1)*(m + 3)*(4*m - 1)/3
Let k = 38859/190 + -7749/38. Solve 72/5 + 42/5*s + k*s**2 = 0 for s.
-12, -2
Suppose 0 = -5*f + i + 2*i + 16, f + 4 = -3*i. Let a be (-32)/(-5) - (-5 + 330/75). Let 3*z - 4*z + 3*z**f + a*z = 0. What is z?
-2, 0
Let f = 6416948/21 + -305635. Let y = -460/7 - f. Factor 2/3*v**2 - v + y*v**3 + 0.
v*(v - 1)*(v + 3)/3
Suppose -412*t + 156*t - 746 = -629*t. Solve -22/17*o**t + 16/17 - 84/17*o = 0 for o.
-4, 2/11
Let s(i) = -23*i**2 - 133*i + 370. Let f(h) = -440*h**2 - 2520*h + 7030. Let x(b) = -6*f(b) + 115*s(b). What is a in x(a) = 0?
-37, 2
Suppose 0 = 5*b + 2*u + u + 195, 4*b - 2*u + 134 = 0. Let c be (-48)/84*14/b. Find h, given that -16/9*h - c - 4/3*h**3 - 26/9*h**2 = 0.
-1, -1/6
Suppose -20*x = -14545 - 14506 + 29011. Factor 12800/13 + 320/13*z + 2/13*z**x.
2*(z + 80)**2/13
Let j(u) = -2*u**2 + u + 1. Let f = -10 - -12. Let l(k) = 14*k**2 - 56*k - 6. Let m(x) = f*l(x) + 12*j(x). Find g such that m(g) = 0.
0, 25
Suppose 0*l + 46*l = 644. Let q = 70 + -50. Factor -l*y**2 - 18*y - 25 + 28*y + q*y + 9*y**2.
-5*(y - 5)*(y - 1)
Let r = 6326029/7 + -903718. Let 96/7*w**2 + 3/7*w**3 - r*w - 96/7 = 0. Calculate w.
-32, -1, 1
Let k(h) be the first derivative of -1/3*h**3 - 43 - 21/8*h**2 - 5/4*h. Determine o, given that k(o) = 0.
-5, -1/4
Let l(h) be the third derivative of h**7/210 - 7*h**6/24 - 37*h**5/30 - h**2 + 63*h + 2. Factor l(q).
q**2*(q - 37)*(q + 2)
Let a be (80/57)/((-22)/33). Let u = -124/95 - a. Factor 0*v - u + 1/5*v**2.
(v - 2)*(v + 2)/5
Let q = 134 + -133. Find u such that -20*u**2 - 4*u**3 - 729*u + 10*u**4 + 2*u**5 + q + 731*u + 9 = 0.
-5, -1, 1
Let n(u) be the second derivative of u**4/28 - 80*u**3/7 - 69*u**2/2 - u + 2798. Factor n(q).
3*(q - 161)*(q + 1)/7
Let h(n) be the third derivative of -n**7/840 - n**6/8 - 45*n**5/8 - 17*n**4/12 - n**3/3 + n**2 + 13. Let i(o) be the second derivative of h(o). Factor i(w).
-3*(w + 15)**2
Let a(c) be the third derivative of -c**6/120 - 109*c**5/20 - 8965*c**4/8 - 26569*c**3/6 - 93*c**2. Find k, given that a(k) = 0.
-163, -1
Let o(f) = -3*f - 23*f**2 - f + 3 + 22*f**2. Let d be o(-4). Factor -4*x**2 - d*x**2 + 12*x**2 + 5*x**2 + 5*x**3 + 5*x.
5*x*(x + 1)**2
Let s(r) = -31*r**3 + 27*r**2 + 88*r + 2. Let b(d) = 75*d**3 - 50*d**2 - 175*d - 5. Let u(m) = 2*b(m) + 5*s(m). Find h, given that u(h) = 0.
-2, 0, 9
Let x(v) = 10*v**4 + 4*v**3 - 4*v**2 - 12*v - 4. Let w(g) = g**5 - g**4 + 2*g**3 + g. Let j(t) = -2*w(t) - x(t). Suppose j(h) = 0. Calculate h.
-2, -1, 1
Let o = 3/2986 - -742/4479. Let i(d) be the second derivative of 19*d + 2/3*d**3 - o*d**4 + 3*d**2 + 0. Factor i(a).
-2*(a - 3)*(a + 1)
Let z(a) be the first derivative of 4/5*a**3 + 0*a + 0*a**2 - 1/25*a**5 + 11/20*a**4 - 135. Factor z(u).
-u**2*(u - 12)*(u + 1)/5
Let g = 580 + -584. Let s be (-304)/(-48) + (g - 2). Factor -s*x**2 - 4/3 + 4/3*x.
-(x - 2)**2/3
Let m(u) be the first derivative of -u**6/10 + 21*u**5/5 - 531*u**4/10 + 286*u**3/5 + 21801*u**2/10 + 19773*u/5 - 2012. Let m(i) = 0. Calculate i.
-3, -1, 13
Let b = -709 - -685. Let d be (-114)/b - 4/1. Factor -3/4*s**2 - 3/4*s**3 + 3/4*s + d.
-3*(s - 1)*(s + 1)**2/4
Let l = -849 - -852. Suppose -3*k + 8 = n, 29 = 4*n + l*k + 6. Factor 1/5*m**n + 4/5 + 19/5*m**3 + 16/5*m + 5*m**2 + 7/5*m**4.
(m + 1)**3*(m + 2)**2/5
Let l be 96/(-56)*(-2 - 227/3). Let x = -130 + l. Factor -4/7*k**2 + 12/7 + x*k.
-2*(k - 6)*(2*k + 1)/7
Let y(m) be the third derivative of m**7/525 - m**6/50 + m**5/50 + 13*m**4/30 - 8*m**3/5 + 161*m**2 + 3. Determine p so that y(p) = 0.
-2, 1, 3, 4
Let h(l) be the third derivative of 0*l**3 + 0*l**7 - 1/224*l**8 + 0*l + 37*l**2 - 1/20*l**5 + 3/80*l**6 + 0 + 0*l**4. What is b in h(b) = 0?
-2, 0, 1
Let u(f) = 27*f**3 - 70*f**2 + 1 + 71*f**2 - 29*f**3. Let s(n) = 13*n**3 + n**2 + 7*n - 21. Let j(i) = s(i) + 6*u(i). Factor j(p).
(p - 1)*(p + 3)*(p + 5)
Let d(q) be the third derivative of q**8/23520 + q**7/2205 - q**4/24 + q**3 - 29*q**2. Let x(j) be the second derivative of d(j). Factor x(i).
2*i**2*(i + 4)/7
Let f = -165 - -168. Factor 34*u**3 - 14*u - f*u**2 - 4*u - 31*u**3 + 0*u**3.
3*u*(u - 3)*(u + 2)
Suppose 0*k = -4*z + 3*k - 26883, 2*k - 20162 = 3*z. Let t be (4/138)/((-5)/z*4). What is l in -98/23 + 32/23*l**3 - 2/23*l**4 + t*l - 156/23*l**2 = 0?
1, 7
Let r(z) be the third derivative of 1/360*z**5 + 0*z**3 - 1/72*z**4 + 0 + 0*z + 46*z**2. Factor r(w).
w*(w - 2)/6
Let i = 593 + -577. Suppose i = -q + 4*q - 4*u, 4*q - 2*u - 8 = 0. Factor 1/4*s**4 + 0 - 1/8*s**5 + 0*s**2 + 0*s + q*s**3.
-s**4*(s - 2)/8
Let c(k) be the third derivative of k**6/60 + 83*k**5/30 - 115*k**4/4 + 87*k**3 - 1247*k**2 + k. Factor c(f).
2*(f - 3)*(f - 1)*(f + 87)
Factor -320/3*f + 88 + 14/3*f**2.
2*(f - 22)*(7*f - 6)/3
Let k = -62099/12 - -15527/3. Factor k*d**2 + 12*d - 51/4.
3*(d - 1)*(d + 17)/4
Let p = 12185584/807477 + -2/73407. Determine k so that p*k**2 + 24*k + 11 + 1/11*k**4 + 24/11*k**3 = 0.
-11, -1
Factor 8/3*s**3 + 1024/3 - 640/3*s + 32*s**2 - 2/3*s**4.
-2*(s - 4)**3*(s + 8)/3
Let z = 3/3818 - -3755/80178. Let u(a) be the second derivative of -z*a**7 + 0*a**3 - 31*a + 3/50*a**5 + 2/75*a**6 + 0*a**4 + 0 + 0*a**2. Solve u(c) = 0.
-3/5, 0, 1
Suppose -2*x = 5*v - 13, 6 = x + 4*v + 1. Let t = 15 + -11. What is f in -f**2 + f + 3*f**2 - t*f - x*f + 10 = 0?
1, 5
Let r(l) = 3*l**3 + 1375*l**2 + 155949*l - 157323. Let x(d) = 2*d**2. Let n(g) = r(g) - 2*x(g). Determine f so that n(f) = 0.
-229, 1
Let a(j) be the first derivative of -j**4 + 68*j**3/5 + 88*j**2/5 + 437. Factor a(x).
-4*x*(x - 11)*(5*x + 4)/5
Let u(z) = z**4 - 2*z**3 + 9*z**2 + 24*z + 12. Let w(c) = 3*c**3 - 9*c**2 - 24*c - 12. Suppose 53 - 49 = -b. Let i(q) = b*w(q) - 3*u(q). Factor i(v).
-3*(v - 2)*(v + 1)**2*(v + 2)
Let f(d) = 3*d**2 - 208*d + 3496. Let b(n) = 3*n**2 - 209*n + 3503. Let i(m) = -4*b(m) + 5*f(m). Factor i(j).
3*(j - 34)**2
Let u be (-56 - -6) + 62 + (0 + -1 - 9). Factor 2/11*w**u + 0 - 18/11*w.
2*w*(w - 9)/11
Let v(h) = 3*h**3. Let c be v(1). Suppose c*i - 427 = -4*p - 0*p, 0 = -2*p - 4. Solve -k + i*k**2 - 144*k**2 - 3*k = 0.
0, 4
Let o(s) be the third derivative of s**8/84 - 3*s**7/7 + 71*s**6/12 - 217*s**5/6 + 245*s**4/4 + 686*s**3/3 - 7*s**2 - 136*s. Factor o(n).
2*(n - 7)**3*(n - 2)*(2*n + 1)
Let w(t) = 41*t**3 + 3619*t**2 + 20*t + 5. Let i(j) = 16*j**3 + 1810*j**2 + 8*j + 2. Let s(c) = 10*i(c) - 4*w(c). Factor s(h).
-4*h**2*(h - 906)
Suppose -5*z - 4*g = -36, -4 = -4*g + 12. Suppose 22*p**2 - 27 - 55*p**2 + 19*p**3 - 22*p**2 + 81*p - 8*p**2 - 2*p**z = 0. What is p?
1/2, 3
Let j(c) be the third derivative of c**8/80640 + c**7/1440 + c**5/20 - c**2 + 88. Let p(k) be the third 