0*o - 16. Let f(p) = g*l(p) - 24*x(p). Factor f(d).
-4*(d - 2)*(d - 1)*(d + 1)
Let h be ((736/1408)/(-23))/((-3)/33). Find d such that h*d - 1/4*d**3 + 0*d**2 + 0 = 0.
-1, 0, 1
Let m(x) be the second derivative of 168921*x**5/100 - 56581*x**4/10 + 1646*x**3/15 - 4*x**2/5 - 4147*x. Find p, given that m(p) = 0.
2/411, 2
Suppose 26*s - 2*s = 192. Let -41 - 38 + 130 - s*v - 28*v**2 - 8*v**3 - 39 = 0. What is v?
-3, -1, 1/2
Solve 91/5*u + 116/5 - 16/5*u**3 - 1/10*u**4 - 81/10*u**2 = 0 for u.
-29, -4, -1, 2
Let z(n) = -n**2 + n + 1. Let w(p) = -26*p + 24*p**2 - 19*p + 29*p - 22 - 6. Let q(c) = w(c) + 20*z(c). Factor q(y).
4*(y - 1)*(y + 2)
Let x(d) = -55*d**4 + 333*d**3 - 657*d**2 + 397*d + 6. Let o(v) = -2*v**4 - v**3 + v**2 - v + 2. Let r(h) = 3*o(h) - x(h). Let r(k) = 0. Calculate k.
0, 10/7, 4
Let q(m) be the second derivative of 89*m**4/30 + m**3/30 + 5523*m. Solve q(j) = 0.
-1/178, 0
Let m(o) be the first derivative of 1/15*o**3 + 17/10*o**2 - 19 + 16/5*o. Find c, given that m(c) = 0.
-16, -1
Let p be (132 + -133)/(39/(-13)). Determine w so that 2/3*w**2 + 8/3*w + 0 - p*w**3 = 0.
-2, 0, 4
Let z(q) be the third derivative of q**7/1680 - 13*q**6/960 - 109*q**5/480 - 95*q**4/192 - 1184*q**2. Factor z(c).
c*(c - 19)*(c + 1)*(c + 5)/8
Let q be ((-55)/(-33))/(2/6). Suppose -5*f = -4*s - 11, q*s = -5*f + 10 + 10. Factor -5*j**2 + 4*j**2 + 2 - 4 + f*j.
-(j - 2)*(j - 1)
Let l(c) = c**3 + 2*c**2 - 3*c - 3. Let w be l(-2). Factor -3*j**2 - 3*j**3 + 7*j**3 - j**3 + 0*j**w - 36*j.
3*j*(j - 4)*(j + 3)
Let u(y) be the first derivative of -y**4/4 + y**3/3 + 18*y**2 - 36*y + 1596. Factor u(w).
-(w - 6)*(w - 1)*(w + 6)
Let r = 17249 - 103459/6. Find h, given that -5/6*h**2 + r*h + 0 = 0.
0, 7
Let a = -98 - -173. Suppose -2*d + 5*d - a = 0. Let 5*l**4 + 65*l**2 + 16*l - 11*l + 40*l**3 + d*l = 0. What is l?
-6, -1, 0
Let u(p) be the third derivative of 5*p**8/1344 - 41*p**7/840 + 21*p**6/160 + 29*p**5/240 - 17*p**4/24 + p**3/2 - 132*p**2 + 12*p. Suppose u(i) = 0. What is i?
-1, 1/5, 1, 2, 6
Factor -1/5*g**3 + 162/5 + 34/5*g**2 - 39*g.
-(g - 27)*(g - 6)*(g - 1)/5
Factor -285/7*y + 32/7*y**2 + 450/7 - 1/7*y**3.
-(y - 15)**2*(y - 2)/7
Factor -2*m**5 - 650*m**4 - 434953*m**3 - 8000000 - 3*m**5 - 3800000*m + 404828*m**3 - 575000*m**2.
-5*(m + 5)**2*(m + 40)**3
Let y be (-4 + -162)*(15 - 17). Find j such that 4470 + 3*j**2 + y + 196*j - j**2 = 0.
-49
Let g(l) be the third derivative of -l**5/60 - 5*l**4/4 - 28*l**3/3 + 113*l**2 - 2. Suppose g(v) = 0. What is v?
-28, -2
Suppose 32*a - 31*a = 12. Let q be (-3)/(-1) + (a - 13). Solve -5*g + 12 - 4 - g - q*g**2 = 0 for g.
-4, 1
Let z be ((-126)/30 - -7)*-205. Let v = z - -577. Determine l so that -2/3*l**v - 1/3*l**4 + 2/3*l + 1/3 + 0*l**2 = 0.
-1, 1
Let p(h) be the second derivative of 3*h + 0*h**3 + 1/18*h**6 + 5/4*h**4 + 1/2*h**5 + 0 + 0*h**2. Determine d, given that p(d) = 0.
-3, 0
Let t(i) be the third derivative of i**5/12 + 35*i**4/2 - 435*i**3/2 - 6*i**2 + 101. Factor t(y).
5*(y - 3)*(y + 87)
Find g such that 1317 + g**3 + 18526*g**2 + 10851 - 18368*g**2 + 6396*g = 0.
-78, -2
Let b(s) be the second derivative of -2*s**6/5 - s**5/10 + 25*s**4 + 25*s**3/3 + 2668*s. Factor b(d).
-2*d*(d - 5)*(d + 5)*(6*d + 1)
Let n(s) = s**3 - 2*s + 2. Let c(p) = -3*p**3 + 321*p**2 - 2748*p - 12. Let z(q) = -c(q) - 6*n(q). Suppose z(t) = 0. Calculate t.
-115, 0, 8
Solve 861/4*j**2 + 9/4*j**3 + 561*j + 279 = 0.
-93, -2, -2/3
Let o(w) = 74*w**3 + 5962*w**2 + 5938*w + 1591. Let a(y) = -24*y**3 - 1988*y**2 - 1979*y - 525. Let p(s) = 21*a(s) + 6*o(s). Factor p(g).
-3*(2*g + 1)**2*(5*g + 493)
Let z(m) be the third derivative of -m**5/60 + 13*m**4/3 - 34*m**3 + 358*m**2. Find v, given that z(v) = 0.
2, 102
Let n(x) = x**3 + 9*x**2 - 15*x - 47. Let b be n(-10). Factor -808*m**3 + 4*m**5 + 405*m**3 + 403*m**b.
4*m**5
Let c = -88 + 89. Let t be 4*(1 + 2/c). Factor -6*q + 3*q**3 + q**3 + 4*q**2 - 6*q - t*q**2.
4*q*(q - 3)*(q + 1)
Let l be (-5)/(2 + 4/(-4)). Let s be -2 - 2 - (l - 4). Factor -4*f**3 + 15*f**4 - f**3 - s*f**3 - 15*f**2 + 0*f + 10*f.
5*f*(f - 1)*(f + 1)*(3*f - 2)
Let f(q) be the third derivative of -q**7/140 - 11*q**6/80 - 3*q**5/8 + 27*q**4/16 + 143*q**2 - 2*q + 2. Determine k so that f(k) = 0.
-9, -3, 0, 1
Let y(w) be the second derivative of -w**4/24 + 347*w**3/12 + 87*w**2 + 3*w - 321. Determine k so that y(k) = 0.
-1, 348
Let r(v) be the first derivative of v**4/4 + 352*v**3/15 - 43*v**2/2 - 142*v/5 - 4618. Solve r(s) = 0.
-71, -2/5, 1
Factor 0 + 0*q + 1/6*q**4 + 1849/6*q**2 - 43/3*q**3.
q**2*(q - 43)**2/6
Let m(s) be the third derivative of -121*s**8/252 + 22*s**7/315 + 161*s**6/120 - 11*s**5/45 + s**4/72 - 301*s**2 - 3*s. Find u such that m(u) = 0.
-1, 0, 1/22, 1
Let g(k) be the third derivative of -k**8/1176 + k**7/735 + 29*k**6/420 + 79*k**5/210 + 20*k**4/21 + 4*k**3/3 - 2754*k**2. Determine w so that g(w) = 0.
-2, -1, 7
Let b(m) be the first derivative of -1/8*m**4 - 33 - 2*m + 1/2*m**3 + 0*m**2. Determine s, given that b(s) = 0.
-1, 2
Let s(r) be the second derivative of -2*r + 1/4*r**2 + 1/40*r**5 + 2 - 1/12*r**3 - 1/24*r**4. Find b such that s(b) = 0.
-1, 1
Let t(d) be the third derivative of d**5/210 - d**4/3 + 187*d**3/21 - 3*d**2 - 307. Find v such that t(v) = 0.
11, 17
Let o(b) be the first derivative of -b**6/90 + 4*b**5/5 + 25*b**4/6 + 2*b**3 + 69. Let d(w) be the third derivative of o(w). Determine r so that d(r) = 0.
-1, 25
Let c(m) be the second derivative of -2*m + 0*m**2 + 1/6*m**6 + 20/3*m**4 - 139 - 2*m**5 + 0*m**3. Factor c(b).
5*b**2*(b - 4)**2
Solve -6/11*h**2 + 0 - 1296/11*h = 0.
-216, 0
Let o(f) be the third derivative of -f**6/30 - 104*f**5/5 + 314*f**4/3 + 510*f**2 + 3. Find a, given that o(a) = 0.
-314, 0, 2
Let w(b) be the first derivative of 8*b**5/25 + 77*b**4/5 - 512*b**3/15 - 646*b**2/5 - 96*b - 2184. Suppose w(u) = 0. What is u?
-40, -1, -1/2, 3
Factor -1/3*b**4 + 2039/3*b + 679*b**2 + 680/3 + 677/3*b**3.
-(b - 680)*(b + 1)**3/3
Let w(j) = -2*j**3 + 41*j**2 + 101*j + 3102. Let m be w(25). Suppose 0 - m*o - 20/3*o**2 = 0. What is o?
-3/10, 0
Let k(y) be the third derivative of -2*y**2 + 1/735*y**7 + 0*y**3 + 0 - 1/70*y**6 - 1/21*y**4 + 0*y + 3/70*y**5. Factor k(f).
2*f*(f - 4)*(f - 1)**2/7
Let 19*s**3 - 5*s**3 - 24*s**2 - s + s**3 - 2*s - 3*s**4 + 15*s = 0. Calculate s.
0, 1, 2
Let c(l) be the third derivative of l**8/336 + l**7/70 - 17*l**6/120 - 13*l**5/20 - 5*l**4/6 - 856*l**2. Factor c(d).
d*(d - 4)*(d + 1)**2*(d + 5)
Let o(b) be the second derivative of 1331/30*b**5 + 5 + 33*b**3 + 7*b + 121/2*b**4 + 9*b**2. Solve o(n) = 0 for n.
-3/11
Let f(p) = 18*p**4 + 210*p**3 - 183*p**2. Let w(h) = h**4 + h**3 + h**2. Let n(g) = f(g) - 15*w(g). Suppose n(t) = 0. What is t?
-66, 0, 1
Let x(w) = 3*w**3 + 108*w**2 + 808*w + 1582. Let i(s) = -2*s**3 - s**2 + 2. Let k(p) = -5*i(p) - 5*x(p). Factor k(h).
-5*(h + 4)**2*(h + 99)
Suppose 6*r - 87 = 57. Let y = r - 22. Factor y - 4 - 5*l - 6*l**2 + 0 - l - 2*l**3.
-2*(l + 1)**3
Let x be (-19826)/(-90) + (-200)/(-180). Let l = x + -111. Let 238/5*q**3 + 248/5*q + l*q**2 - 98/5*q**4 + 32/5 = 0. Calculate q.
-1, -2/7, 4
Let l(n) be the second derivative of n**7/14 + 8*n**6/5 - 429*n**5/20 + 197*n**4/2 - 226*n**3 + 276*n**2 - 1264*n. Factor l(f).
3*(f - 2)**3*(f - 1)*(f + 23)
Let a(k) be the first derivative of 1/33*k**6 + 0*k**5 + 0*k**3 - 72 + 0*k + 1/11*k**2 - 1/11*k**4. Factor a(o).
2*o*(o - 1)**2*(o + 1)**2/11
Let l = -648650 + 1297305/2. Factor -12 + l*a + 1/2*a**2.
(a - 3)*(a + 8)/2
Factor -1/4*u**3 + 1 + 0*u - 3/4*u**2.
-(u - 1)*(u + 2)**2/4
Let j be (11/(-2) + 1)/((-372)/744). Let l(v) be the second derivative of 1/4*v**5 - 5/6*v**3 + 0*v**4 + 0*v**2 + j*v + 0. Factor l(d).
5*d*(d - 1)*(d + 1)
Find u such that 5*u**3 + 1/3*u**4 - 270 - 153*u - 9*u**2 = 0.
-15, -3, 6
Let c(q) = 3*q**2 + 30*q - 36. Let i = 59 + -68. Let l(m) = m**2 + 15*m - 18. Let j(b) = i*l(b) + 4*c(b). Determine n, given that j(n) = 0.
2, 3
Let k(v) = 2*v - 24. Let l be k(15). Suppose 5*w + 20 = 0, -w - l = 4*h - 18. Factor 0*c + 4/11*c**2 - 2/11*c**h + 0 - 2/11*c**3.
-2*c**2*(c - 1)*(c + 2)/11
Suppose 0 = -2*s + 2 - 8. Let q be s/2*(-3 - -7 - 6). What is f in 3/5*f**q - 11/5*f**2 + 6/5*f + 0 = 0?
0, 2/3, 3
Factor 2/11*d**2 - 1258/11 + 40/11*d.
2*(d - 17)*(d + 37)/11
Suppose -140*u