68*j**4 + 62*j**2 + 51*j**2 + 8*j**2.
-j*(j - 3)*(j + 1)*(j + 59)
Let f = -373/410 - -289/205. Suppose -121/2 - f*y**3 - 23/2*y**2 - 143/2*y = 0. What is y?
-11, -1
Let k = 97 - 94. Let q(o) = -7*o**2 + 152*o - 1447. Let t(x) = 36*x**2 - 760*x + 7236. Let f(h) = k*t(h) + 16*q(h). Suppose f(g) = 0. Calculate g.
19
Let n(w) = -w**2 - 8997*w - 233243. Let k be n(-26). Let 99/4 + 3/4*o**k + 105/4*o**2 + 201/4*o = 0. What is o?
-33, -1
Determine x, given that 12*x**3 + 463 + 11*x**2 + 467 - 858 - 96*x - 4*x**2 - 2*x**4 + 7*x**2 = 0.
-3, 1, 2, 6
Let w(q) be the second derivative of -8*q**4/3 + 14*q**3/3 + 2*q**2 - 8*q + 54. Suppose w(k) = 0. Calculate k.
-1/8, 1
Suppose -4*i = -4*w + 4108, -1804*i + 5099 = 5*w - 1797*i. Solve 180*x**2 - w + 47/4*x**3 + 1/4*x**4 + 832*x = 0 for x.
-16, 1
Let v(n) be the second derivative of n**5/5 + 98*n**4/3 + 4600*n**3/3 - 10000*n**2 - 8*n + 81. Factor v(m).
4*(m - 2)*(m + 50)**2
Let d(z) be the second derivative of -z**7/9 - z**6/3 + 11*z**5/30 + 3*z**4/2 - 4*z**3/9 - 4*z**2 + 243*z - 5. Let d(c) = 0. What is c?
-2, -1, 6/7, 1
Factor 0 + 15*m**4 + 238*m**3 + 1/3*m**5 + 2744*m + 4508/3*m**2.
m*(m + 3)*(m + 14)**3/3
Let f = -416461 + 416461. Solve -18/7*p + f + 2/7*p**2 = 0 for p.
0, 9
Let t(r) be the first derivative of -r**7/1050 + r**6/225 + 13*r**5/150 + r**4/3 - 26*r**3/3 - 147. Let k(m) be the third derivative of t(m). Factor k(p).
-4*(p - 5)*(p + 1)*(p + 2)/5
Let d = 25 + 19. Let o = -44 + d. Factor -30*z**2 - 18*z - 18*z - 3*z**2 - 12 + o*z**2 - 9*z**3.
-3*(z + 1)*(z + 2)*(3*z + 2)
Let m(q) = -13*q**2 + 251*q + 489. Let a(u) = 21*u**2 - 377*u - 734. Let p(v) = -5*a(v) - 8*m(v). Suppose p(t) = 0. Calculate t.
-121, -2
Suppose -3*l = -0*l - 12, -97 = 3*r - 4*l. Let t = r - -33. Determine h, given that t - 3*h**2 - 9*h + 20*h**3 - 19*h**3 - 3*h**4 + 8*h**3 = 0.
-1, 1, 2
Let h(p) be the second derivative of -p**4/6 + 68*p**3/3 + 140*p**2 - 16*p - 19. Factor h(w).
-2*(w - 70)*(w + 2)
Let j(c) be the third derivative of c**9/27216 + c**8/1680 + c**7/378 + c**6/270 + 15*c**3 - c**2. Let v(k) be the first derivative of j(k). Factor v(x).
x**2*(x + 1)*(x + 2)*(x + 6)/9
Let t(q) be the third derivative of 0*q + 0 + 2*q**4 + 2/15*q**5 + 1/270*q**6 + 6*q**2 - 17/6*q**3. Let r(o) be the first derivative of t(o). Factor r(c).
4*(c + 6)**2/3
Suppose 48*g = 120*g - 49*g - 713. Let s(u) be the second derivative of 0 - g*u + 1/21*u**3 + 0*u**2 - 1/42*u**4. Solve s(l) = 0.
0, 1
Let c = -604097/9 + 67123. Factor -c + 32/9*k - 4*k**2 - 2/9*k**4 + 16/9*k**3.
-2*(k - 5)*(k - 1)**3/9
Let m(h) be the second derivative of -1/20*h**6 + 9*h + 0*h**2 + 1/2*h**4 - 3/40*h**5 + h**3 - 2. Factor m(q).
-3*q*(q - 2)*(q + 1)*(q + 2)/2
Let k(l) be the second derivative of l**5/4 + 475*l**4/6 - 3294*l. Factor k(h).
5*h**2*(h + 190)
Let z(q) = q**2 - 50*q + 459. Suppose -5*v - 390 = -580. Let y be z(v). Determine i, given that 1 - 1/3*i**y - i**2 + 1/3*i = 0.
-3, -1, 1
Let t(f) = 14*f - 11. Let r be t(3). Let n = r - 30. Determine c, given that n + c**2 + 0*c**2 - 1 - 1 = 0.
-1, 1
Let b(m) be the first derivative of -2*m**3/21 + 304*m**2/7 - 46208*m/7 - 3220. Suppose b(j) = 0. What is j?
152
Let u(m) be the third derivative of m**6/600 + 52*m**5/75 - 419*m**4/120 + 7*m**3 - 66*m**2 - 31*m + 2. Find w such that u(w) = 0.
-210, 1
Determine w, given that 0 + 4/3*w**3 - 2/3*w**5 + 42*w + 48*w**2 - 16/3*w**4 = 0.
-7, -3, -1, 0, 3
Let b(c) be the third derivative of 0 + 18*c**2 + 0*c - 53/480*c**6 - 19/80*c**5 - 1/12*c**3 - 23/96*c**4 - 17/840*c**7. Suppose b(k) = 0. What is k?
-1, -2/17
Let l(g) be the first derivative of 2*g**5/55 - 36*g**4/11 + 208*g**3/3 + 5472*g**2/11 + 11552*g/11 - 2416. Let l(f) = 0. Calculate f.
-2, 38
Let f(v) = v**2 + 2. Let r be 1/((49/28)/(-7)). Let q(b) = -9*b**2 - 75*b + 162. Let d(s) = r*f(s) - q(s). Factor d(h).
5*(h - 2)*(h + 17)
Suppose -7*d - 184 = -23. Let f(p) = p + 25. Let t be f(d). Solve 1/2*z - 1/2*z**3 + 0 + 0*z**t = 0.
-1, 0, 1
Let v(g) = 7*g - 116. Let b be v(17). Factor -2048 - 3*k**3 + 4*k**3 + 2*k**b + 768*k + k**3 - 96*k**2.
4*(k - 8)**3
Suppose -984/7 - 58/7*l + 2/7*l**2 = 0. What is l?
-12, 41
Determine b, given that -1/4*b**4 - 22 + 111/2*b + 12*b**3 - 181/4*b**2 = 0.
1, 2, 44
Let n(x) be the second derivative of 5*x**7/12 - 949*x**6/60 + 6873*x**5/40 - 5147*x**4/24 - 2288*x**3/3 - 507*x**2 + 1199*x + 2. Find u such that n(u) = 0.
-3/5, -2/7, 2, 13
Let q be 8 + -4 + (-6)/3. Let s = 35 - 33. Find k such that -2*k + q*k**3 - 47*k**s + 47*k**2 = 0.
-1, 0, 1
Suppose -5*d = -15, -5*d = 2*j - 10*d + 45. Let c be 68/20 - 3 - 12/j. Factor c*p**4 + 48/5*p**2 + 24/5*p + 0 + 6*p**3.
6*p*(p + 1)*(p + 2)**2/5
Let n(z) be the third derivative of -15*z**2 + 5/3*z**4 + 0*z + 1/12*z**5 + 0 + 40/3*z**3. Factor n(s).
5*(s + 4)**2
Let u(l) = 156*l**2 - 318*l + 12. Let j be u(2). Solve -2/7*r**2 - 1/7*r - 1/7*r**3 + j = 0 for r.
-1, 0
Suppose 249 - 258 = 45*q - 9. Let -3/7*d + 0*d**3 + 6/7*d**2 + 3/7*d**5 + q - 6/7*d**4 = 0. What is d?
-1, 0, 1
Let p(l) be the third derivative of -1/70*l**7 - 8*l**2 - 10*l + 0 + 0*l**3 - 2*l**4 - 1/5*l**6 - l**5. Suppose p(x) = 0. Calculate x.
-4, -2, 0
Factor 18*y**3 - 30*y**3 - 1212*y**2 - 12800 + 7470*y - 1102*y + 428*y**2 + 10*y**3.
-2*(y - 4)**2*(y + 400)
Let l(c) be the third derivative of c**6/140 - 27*c**5/70 + 195*c**4/28 - 169*c**3/7 - 1026*c**2. Factor l(s).
6*(s - 13)**2*(s - 1)/7
Let i(b) be the first derivative of -b**6/3 + 294*b**5/25 + 407*b**4/10 + 578*b**3/15 - 6*b**2 - 128*b/5 + 782. Suppose i(s) = 0. What is s?
-1, 2/5, 32
Let j(c) be the third derivative of c**5/270 + 5*c**4/108 - 22*c**3/9 + 180*c**2. Find u, given that j(u) = 0.
-11, 6
Let r be (-28)/8 + 3 - (19 + -45 + 25). Factor -5/2*a + 1/2*a**3 - 3/2 - r*a**2.
(a - 3)*(a + 1)**2/2
Let w(d) be the first derivative of -174 - 1/15*d**6 - 48/5*d + 44/15*d**3 - 9/10*d**4 + 4*d**2 - 16/25*d**5. Let w(h) = 0. What is h?
-6, -2, 1
Let c(g) = -6*g**2 + 9*g - 3. Let o be (-1)/((5 + -3)/(-10)). Let x(d) = o - 2*d**2 + 3*d**2 + 5*d**2 + 5*d**2 - 18*d. Let i(l) = -5*c(l) - 3*x(l). Factor i(b).
-3*b*(b - 3)
Factor 2 - 9/4*l**2 + 17/2*l.
-(l - 4)*(9*l + 2)/4
Let h(r) be the second derivative of r**5/5 - 81*r**4 + 954*r**3 - 4266*r**2 + 4761*r. Factor h(j).
4*(j - 237)*(j - 3)**2
Let x be 112/24*24/28. Let -6 - 6*y - 2 + 3*y**4 - 16*y - y**x - 18*y**2 - 2*y**3 = 0. Calculate y.
-1, 4
Suppose 80*z - 11 - 1 + 12*z**2 + 3*z**3 - 156*z + 73*z = 0. What is z?
-4, -1, 1
Let o = 47838 - 334863/7. Factor 9/7*w**2 + 12/7*w + 0 - o*w**3.
-3*w*(w - 4)*(w + 1)/7
Let -1/6*f**3 + 10/3*f + 4 + 1/3*f**2 = 0. Calculate f.
-2, 6
Let y(a) = -2*a**2 + 68*a - 404. Let t be y(8). Let i be 11/(-110)*t*3/(-2). Factor 12/5 + i*c**2 + 3*c**3 - 36/5*c.
3*(c - 1)*(c + 2)*(5*c - 2)/5
Let i(p) be the third derivative of p**6/240 + 3*p**5/10 + 5*p**4 - 400*p**3/3 + 19*p**2 + 5. Find n, given that i(n) = 0.
-20, 4
Let u(o) be the third derivative of -7*o**6/480 - 53*o**5/120 + 97*o**4/96 + 2*o**3/3 - 36*o**2 + 6*o. Factor u(m).
-(m - 1)*(m + 16)*(7*m + 1)/4
Let b(h) be the second derivative of -h**5/40 - 5*h**4/6 - 23*h**3/3 - 28*h**2 - 125*h - 3. Factor b(y).
-(y + 2)*(y + 4)*(y + 14)/2
Let s be (380/228)/(1 + 1/(-6)). Factor 1268 + 23*c**2 + 48*c**2 - 920*c + 29*c**s + 848.
4*(5*c - 23)**2
Let b(f) be the second derivative of 28 - 12*f**3 + 1/6*f**4 + 0*f**2 + 2*f. Suppose b(u) = 0. Calculate u.
0, 36
Let v(s) be the first derivative of s**4/3 - 136*s**3/9 - 1246*s**2/3 - 3136*s - 3807. Factor v(p).
4*(p - 48)*(p + 7)**2/3
Let c(g) be the third derivative of g**5/270 + 11*g**4/108 + 10*g**3/9 - 8529*g**2. Factor c(u).
2*(u + 5)*(u + 6)/9
Factor 0 - 2/3*r**2 + 602/3*r.
-2*r*(r - 301)/3
Let l be 38/14 + 1 - (-158)/553. Let j(t) be the third derivative of 1/4*t**l - 2/3*t**3 + 0*t + 0 + 14*t**2 - 1/30*t**5. Factor j(g).
-2*(g - 2)*(g - 1)
Let z(m) be the second derivative of m**6/90 + m**5/3 + 11*m**4/12 - 3*m**3 + 2451*m. Suppose z(n) = 0. Calculate n.
-18, -3, 0, 1
Let a(y) = -10*y**3 + 1454*y**2 - 2621*y - 446. Let q(k) = -19*k**3 + 2908*k**2 - 5237*k - 894. Let v(d) = -7*a(d) + 3*q(d). Determine s, given that v(s) = 0.
-2/13, 2, 110
Let b(d) be the second derivative of 3/40*d**5 + 4/5*d**6 - 2*d**4 + 43 - 1/4*d**3 + d + 0*d**2. Determine p, given tha