 x*w**2 - w**3. Factor l(d).
d**2*(d - 3)*(d + 1)
Let t(c) be the second derivative of -c**4/24 + 3*c**3/4 + 13*c**2 + 2219*c. Determine o so that t(o) = 0.
-4, 13
Let v(f) be the third derivative of 5*f**8/336 - 29*f**7/42 - 103*f**6/12 - 41*f**5/3 + 505*f**4/3 + 2800*f**3/3 - 2*f**2 - 5012*f. What is w in v(w) = 0?
-4, -2, 2, 35
Let o be (-4)/(-16) - 582/2316. Let l = o + 1547/2316. Determine r, given that 0 + 2*r + l*r**2 = 0.
-3, 0
Let y be 10/4 + 1 - 6/4. Suppose z - 176 = y*h - 6*h, 5*h = 2*z + 220. Factor -17*k**2 + 46*k - 24 + 56*k + h*k**2.
3*(k + 4)*(9*k - 2)
Let w = -449071/79 + 5684. Let u = 491/395 + w. Factor 0 + u*m**2 + 0*m.
4*m**2/5
Let g(l) be the third derivative of -17 + l**2 - 1/6*l**4 + 1/15*l**5 - 4/3*l**3 + 0*l. Let g(a) = 0. What is a?
-1, 2
What is i in -412/3 - 410/3*i + 2/3*i**2 = 0?
-1, 206
Let m(i) = -i**3 - 3*i**2 - 93*i + 2. Let b be m(0). Let 0*h + 0 - 2/3*h**4 + 0*h**b + 0*h**3 = 0. Calculate h.
0
Let z(i) = -10028*i + 40117. Let o be z(4). Suppose 12*u**2 + 18/5*u**o + 2/5 + 18/5*u + 66/5*u**4 + 92/5*u**3 = 0. Calculate u.
-1, -1/3
Let p be ((-2)/26)/((-5364)/72). Let d = p + 3868/5811. Find u such that d*u**2 + 1/3*u**5 - 1/3*u + 0*u**3 - 2/3*u**4 + 0 = 0.
-1, 0, 1
Let d(r) be the second derivative of -r**6/15 + 75*r**5 - 141373*r**4/6 + 93500*r**3 - 139876*r**2 - 16*r - 21. Solve d(p) = 0.
1, 374
Suppose 0 = 2*f + 3*t - 25, 2*t + 5 = -3*t. Let l = 92 - 90. Factor 2*x**l + 2*x**3 + 24*x + f*x**2 + x**3 - x**2 + 12.
3*(x + 1)*(x + 2)**2
Let b = -55 + 59. Factor -b*z**2 + 5*z**4 - 10*z**3 + 10*z - 18*z**2 + 15 - 9*z**2 + 11*z**2.
5*(z - 3)*(z - 1)*(z + 1)**2
Let p(a) be the second derivative of 5*a**4/12 - 185*a**3/6 + 850*a**2 + 75*a + 11. Determine b, given that p(b) = 0.
17, 20
Solve -148 - 582/5*l + 156/5*l**2 - 2/5*l**3 = 0.
-1, 5, 74
Suppose -44*n = -32*n - 1008. Let h = -418/5 + n. Solve -4*o - 10 - h*o**2 = 0 for o.
-5
Let k(m) be the second derivative of m**4/84 - 226*m**3/21 - 1877*m. Factor k(u).
u*(u - 452)/7
Let x be (-12 - (-8 - -3))/(-1). Let o(q) be the second derivative of 3/5*q**2 + 0 + 3/100*q**5 + 1/2*q**3 - x*q + 1/5*q**4. Factor o(t).
3*(t + 1)**2*(t + 2)/5
Let z(d) = -16*d**4 + 20*d**3 - 8*d**2 - 50*d + 14. Let b(o) = -11*o**4 + 13*o**3 - 5*o**2 - 34*o + 9. Let n(r) = -10*b(r) + 7*z(r). Factor n(j).
-2*(j - 4)*(j - 1)**2*(j + 1)
Let l(n) be the third derivative of -n**6/780 - 19*n**5/390 + 35*n**4/52 + 825*n**3/13 - 1026*n**2. Factor l(x).
-2*(x - 11)*(x + 15)**2/13
Factor 1/3*w**2 - 967/3*w + 322.
(w - 966)*(w - 1)/3
Let r = -2169 + 2169. Let j(p) be the third derivative of -18*p**3 - 21*p**2 - 1/105*p**7 + 11/60*p**6 - 3/2*p**5 + 27/4*p**4 + 0*p + r. Solve j(c) = 0 for c.
2, 3
Let r = -21564 - -64706/3. Solve r - 1/6*m**2 - 2*m = 0 for m.
-14, 2
Let l(v) = v**3 + 69*v**2 + 85*v + 1210. Let a be l(-68). Let 36*g + 33/2*g**2 - a + 3/2*g**3 = 0. What is g?
-6, 1
Let i(m) be the second derivative of -7*m**7/2 - 161*m**6/5 - 114*m**5 - 188*m**4 - 136*m**3 - 48*m**2 - 828*m - 1. Solve i(v) = 0.
-2, -2/7
Suppose 21*b + 24 = 24*b - 5*t, 3*b + 6 = -5*t. Find o such that 375*o**b + 8*o**2 + 4*o**2 - 379*o**3 + 16*o = 0.
-1, 0, 4
Suppose c + 5*q - 24 = 0, 0 = -4*c + 4*q + q + 96. Suppose -32 + 1 - 50 + 21 - c*k + 3*k**2 = 0. Calculate k.
-2, 10
Factor -x**2 - 496*x + 1428*x - 487*x - 491*x - 88.
-(x + 2)*(x + 44)
Let n = -14542 - -130894/9. Factor -n*r**2 + 308/9*r - 76/9.
-4*(r - 19)*(4*r - 1)/9
Let g = 13/29903 + 478409/89709. Solve g*z**3 - 32/3*z + 64/3*z**2 - 8/3*z**4 - 2/3*z**5 - 128/3 = 0.
-4, -2, 2
Factor -5*b - 96/7 - 1/7*b**2.
-(b + 3)*(b + 32)/7
Factor -35*j + 1417*j**2 - 34*j + 3*j**3 - 1483*j**2.
3*j*(j - 23)*(j + 1)
Let r(g) = 29*g**3 - g**2 + g + 1. Let h be r(1). What is y in h + 24*y + 4*y**2 - 87 + 36 + 41 = 0?
-5, -1
Suppose 193*a = 178*a + 30. Let f(n) be the first derivative of -2*n**a - 10/3*n + 41 - 2/9*n**3. Factor f(m).
-2*(m + 1)*(m + 5)/3
Determine k, given that -42 - 1/2*k**2 - 85/2*k = 0.
-84, -1
Let c = 1574 - 1567. Suppose 91*k + 3*k - c*k = 0. Factor 12/13*y**3 + 2/13*y**5 - 8/13*y**2 - 8/13*y**4 + 2/13*y + k.
2*y*(y - 1)**4/13
Let l = 206314 + -15885941/77. Let g = l - -9/7. Factor g*a - 204/11*a**3 + 168/11*a**2 + 54/11*a**4 + 0.
6*a*(a - 2)**2*(9*a + 2)/11
Let n = 1945031/9 - 216111. Find g such that 4*g - n - 4/9*g**2 = 0.
1, 8
Suppose -30*k + 80*k + 300 = 0. Let g be 72/396 - k/(-33). Let 20/3*q + 4/3*q**2 + g = 0. What is q?
-5, 0
Suppose -n + 0 = -45. Find w, given that 20 + 7*w - w**4 + 9*w**3 - 4*w**3 + 48*w + n*w**2 - 4*w**4 = 0.
-1, 4
Let o(z) be the first derivative of 4/5*z**5 - 5*z**4 + 28/3*z**3 - 6*z**2 - 48 + 0*z. What is s in o(s) = 0?
0, 1, 3
Suppose -91*m - 44 = -4*l - 87*m, -l = -4*m - 8. Let s be (-441)/189*l/(-14). Factor -3*d**s - 6/7*d + 27/7*d**3 + 0.
3*d*(d - 1)*(9*d + 2)/7
Let c(j) = 2*j - 54. Let x be c(26). Let d be 6/(-8)*x - (-10)/5. Suppose 10*k - 23/2*k**2 - 2 + d*k**3 = 0. Calculate k.
2/7, 1, 2
Let g(f) be the first derivative of -f**5/25 + 2*f**4/5 - 19*f**3/15 + 6*f**2/5 + 1414. Suppose g(b) = 0. Calculate b.
0, 1, 3, 4
Factor -7394 + 1324 - 5*r**2 - 22498*r + 16423*r.
-5*(r + 1)*(r + 1214)
Let h(q) = 6*q + 170. Let s be h(-28). Solve -45*w**3 - 35*w**5 + 1005 - 1005 + 140*w**s + 60*w - 120*w**4 = 0 for w.
-2, -3/7, 0, 1
Suppose -3*j + 2*q = 4*q - 12, 3 = -q. Let m be j/(-4)*100/(-525). Determine u, given that -m*u**4 + 4/7*u**3 + 0 + 0*u - 2/7*u**2 = 0.
0, 1
Let a be -153 + 146 - -9*1. Let p(z) be the third derivative of 0*z - 2/45*z**3 + 0 + 9*z**a - 1/60*z**4 - 1/450*z**5. Factor p(h).
-2*(h + 1)*(h + 2)/15
Solve -161*x**4 - 125727*x**3 + 14*x**4 + 143010*x**3 - 9840*x**2 + 1404*x = 0.
0, 2/7, 117
Let c = -94032 - -94036. Determine x so that -c*x - 28/3*x**2 - 11/3*x**3 + 0 = 0.
-2, -6/11, 0
Factor 0*g - 102/11*g**3 - 14/11*g**4 + 0 - 28/11*g**2.
-2*g**2*(g + 7)*(7*g + 2)/11
Factor 58/3*x**2 - 272/15*x - 8/5 - 74/15*x**3.
-2*(x - 2)**2*(37*x + 3)/15
Let z(n) = -5*n**2 + 233*n - 1646. Let o(y) = 6*y**2 - 237*y + 1665. Let l(p) = 2*o(p) + 3*z(p). Factor l(k).
-3*(k - 67)*(k - 8)
Let o(h) be the second derivative of h**6/240 - h**4/16 - h**3/6 + 57*h**2/2 - 8*h + 4. Let v(c) be the first derivative of o(c). Factor v(r).
(r - 2)*(r + 1)**2/2
Let o = 880/1219 - 7635607/18285. Let r = 417 + o. Let -r*v**3 - 2/5*v + 0 - 8/15*v**2 = 0. What is v?
-3, -1, 0
Let p = 880 - 842. Determine u, given that 5*u**2 - p - 55 + 145*u - 57 = 0.
-30, 1
Let n(j) = -j**3 - 86*j**2 - 300*j + 115. Let h be n(-4). Determine g, given that -2/3*g**2 + 2/9*g**h - 8/3 - 32/9*g = 0.
-2, -1, 6
Let q(k) = k + 3. Let c be q(1). Suppose 0*b = c*n + b - 58, -5*n + 79 = -2*b. Factor 6*s**4 - 9*s - n*s**3 - s**4 + 4*s + 15*s**2.
5*s*(s - 1)**3
Let t = 11722526/4395945 + -2/1465315. Determine a so that 2/3*a**3 - 6*a**2 + 2/3*a**4 + 22/3*a - t = 0.
-4, 1
Let d(c) be the first derivative of 5*c**6/24 - 2*c**5 + 45*c**4/16 + 55*c**3/6 - 25*c**2/2 - 30*c + 9381. Suppose d(f) = 0. Calculate f.
-1, 2, 6
Let o(d) be the second derivative of -2*d**7/63 - 35*d**6/9 - 2282*d**5/15 - 15997*d**4/9 - 19630*d**3/3 + 12675*d**2 + d - 3308. Let o(s) = 0. Calculate s.
-39, -5, 1/2
Let 253*b + 237*b + 364816 - 343*b + b**2 + 404*b + 657*b = 0. What is b?
-604
Let q(s) be the second derivative of -s**10/120960 - s**9/30240 + s**4/4 + 48*s. Let l(a) be the third derivative of q(a). Suppose l(v) = 0. What is v?
-2, 0
Suppose -4*s = 5*f + 6, s + 0*f + 7 = -4*f. Let a be (s + 1)*(4 + -3) - -37. What is j in -a*j**4 - 10*j**2 + 72*j**4 - 15*j**3 - 38*j**4 = 0?
-2, -1, 0
Suppose 27*b**5 - 522*b**4 + 214*b + 566*b - 241*b**2 - 714*b**3 + 1087*b**2 - 504 + 370*b**3 - 643*b**3 = 0. What is b?
-2, -1, 2/3, 21
Suppose -36*s = -53*s - 10234. Let l = s + 605. Solve -14/5*t**l + 8/5 + 2/5*t**2 + 16/5*t - 2*t**4 - 2/5*t**5 = 0.
-2, -1, 1
Factor 645/7 + 3222/7*p - 15/7*p**2.
-3*(p - 215)*(5*p + 1)/7
Let f be (-3)/5*6 + (-3)/(-5). Let h(a) = 4*a**2 + 9*a + 3. Let r(m) = -6*m**2 - 8*m - 4. Let t(s) = f*r(s) - 4*h(s). Factor t(c).
2*c*(c - 6)
Let j(q) be the second derivative of q**6/6 + 87*q**5/2 - 2705*q**4/4 + 10940*q**3/3 - 7320*q**2 - 3859*q. Suppose j(h) = 0. What is h?
-183, 1, 4
Suppose -2*j = -14*q + 146, 215*j - 217*j - 56 = -4*q. Factor -33/4*d + 0 - 3/4*d**3 + q*d**2.
-3*d*(d - 11)*(