.
(w - 1271)*(w + 2)/5
Suppose -2007 = -123*g + 132*g. Let a = g - -223. Suppose -2/5*h**5 + 8/5*h**2 - 6/5*h**4 + 0 + 0*h + a*h**3 = 0. What is h?
-2, 0, 1
Let w = -582 - -585. Let s(v) be the second derivative of 33*v - 5/84*v**4 + 0 + 1/140*v**5 - 13/42*v**w - 1/2*v**2. Factor s(c).
(c - 7)*(c + 1)**2/7
Let x(v) be the first derivative of v**7/168 + v**6/18 - 5*v**5/24 + 55*v**3/3 + 26. Let d(o) be the third derivative of x(o). Find u, given that d(u) = 0.
-5, 0, 1
Let b be (-1)/2 + 0 + 2136/(-34354). Let f = -12/193 - b. Let -1/2 - f*u**2 - u = 0. Calculate u.
-1
Let m(t) be the first derivative of -5*t**3/3 - 1555*t**2/2 - 1550*t + 1383. Find x, given that m(x) = 0.
-310, -1
Let f(o) = -o**3 + 33*o**2 - 368*o + 6. Let s(q) = -2*q**3 + q**2 + q + 6. Let g(p) = -f(p) + s(p). Determine n so that g(n) = 0.
-41, 0, 9
Suppose -5*k + 215 = -180. Suppose 87*x = k*x. Factor x - 8/5*z - 4/5*z**2.
-4*z*(z + 2)/5
Let a be (22/6)/(5*(-5)/(-225)). Factor -4*p**2 + 132*p + a - 2 + 81 + 24.
-4*(p - 34)*(p + 1)
Solve 0*i + 2/9*i**4 - 454/9*i**3 + 452/9*i**2 + 0 = 0 for i.
0, 1, 226
Factor -20859507 + 360275 - 4*o**2 - 16376*o + 3738396.
-4*(o + 2047)**2
Let x(t) = 12*t**3 - 25*t**2 + 27*t + 14. Let q(n) = 11*n**3 - 25*n**2 + 26*n + 12. Let y(a) = 7*q(a) - 6*x(a). Factor y(s).
5*s*(s - 4)*(s - 1)
Factor 289*r**2 - 46*r**4 - 5*r**3 + 593*r - 868*r + 45*r**4 - 8*r**3.
-r*(r - 11)*(r - 1)*(r + 25)
Let p(v) be the third derivative of 0*v**5 + 0 + 10*v**2 + 3/8*v**4 + 0*v - 1/40*v**6 - v**3. What is j in p(j) = 0?
-2, 1
Let f = -516037/4 + 129010. Solve -9/4*z - 3/4 - 9/4*z**2 - f*z**3 = 0.
-1
Let o(q) = -18*q**2 + 6*q + 22. Let b(w) = -9*w**2 + 6*w + 10. Let v(j) = 9*b(j) - 5*o(j). Solve v(x) = 0.
-10/3, 2/3
What is b in 1/4*b**2 + 0 + 9/2*b = 0?
-18, 0
Let g = 1974 + -1959. Suppose -g*h - o = -17*h + 7, 0 = 2*h - 3*o - 13. Solve 32/19 - 2/19*y**5 - 10/19*y**3 + 24/19*y - 32/19*y**h + 12/19*y**4 = 0.
-1, 2, 4
Let l(x) be the second derivative of x**4/3 + 20*x**3/3 + 42*x**2 - 80*x + 2. Factor l(p).
4*(p + 3)*(p + 7)
Suppose 29*k - 320 = -212*k + 162. Factor 4/7 + 17/7*y + 4/7*y**k.
(y + 4)*(4*y + 1)/7
Factor -25369392*r - 181*r**3 + 240387*r**2 + 180*r**3 - 231663*r**2 + 24591397312.
-(r - 2908)**3
Determine f, given that -130*f**2 - 126*f + 128 + 249*f**3 + 78*f**3 - 201*f**3 + 2*f**4 = 0.
-64, -1, 1
Determine n so that 174*n**3 - n - 352*n**3 + 177*n**3 - n - 3*n**2 = 0.
-2, -1, 0
Let p(q) = -34*q**2 + 35*q + 1054. Let t(g) = -8*g**2 + 9*g + 264. Let h(c) = 6*p(c) - 26*t(c). Factor h(x).
4*(x - 15)*(x + 9)
Let u(w) = 3*w**2 + 87*w + 94. Let g(z) be the first derivative of 2*z**3/3 + 44*z**2 + 94*z + 139. Let o(d) = -5*g(d) + 4*u(d). Factor o(c).
2*(c - 47)*(c + 1)
Let s be (72/(-12) - -3) + (-1 - -6). Let 1273 + 0*a**2 + 179*a + 864 + 283 + 5*a**s + 41*a = 0. Calculate a.
-22
Let a(n) be the first derivative of 29*n**5/15 - 5*n**4 - 25*n**3/9 + 10*n**2 - 4*n/3 - 2928. What is m in a(m) = 0?
-1, 2/29, 1, 2
Suppose -b - 6 = -4*s, 0*b = -s + b. Let w = -2/31451 - -94357/62902. Find d such that -w*d**s - 1/2 - 7/4*d = 0.
-2/3, -1/2
Factor 612/5*b + 5496/5*b**3 + 0 + 734*b**2 - 18/5*b**4.
-2*b*(b - 306)*(3*b + 1)**2/5
Let c(l) = 7*l - 18. Let d be c(3). Factor 2*o**4 - 3*o**4 + 23 + 3*o**d - 23.
-o**3*(o - 3)
Let y(u) = -16*u**4 + 31*u**3 + 24*u**2 - 882*u + 1536. Let g(k) = 9*k**4 - 16*k**3 - 12*k**2 + 440*k - 768. Let o(q) = -7*g(q) - 4*y(q). Solve o(n) = 0 for n.
-6, 2, 8
Let a be 112/(-728) + (0 - (-1952)/13). Suppose a*c + 24 = 162*c. Find j, given that 3/2*j + 1/4*j**5 + 0 + 17/4*j**3 + 17/4*j**c + 7/4*j**4 = 0.
-3, -2, -1, 0
Let m(c) be the third derivative of 7/15*c**6 + 0*c - 35*c**4 - 4*c**2 - 75*c**3 + 3 - 1/105*c**7 - 83/15*c**5. Factor m(k).
-2*(k - 15)**2*(k + 1)**2
Solve 273*b**2 + 400*b**3 + 28*b**4 + 196*b**2 - 17*b**2 + 24*b**3 + 79*b - 23*b = 0 for b.
-14, -1, -1/7, 0
Let y be (6 - (-4 + 7)) + (-1640)/545. Let s = 1631/436 - y. Factor 0 + 0*q - 9/4*q**4 + 27/4*q**5 - 3/4*q**2 - s*q**3.
3*q**2*(q - 1)*(3*q + 1)**2/4
Let b(q) be the second derivative of 23*q - 1/8*q**4 - 11/4*q**3 - 21*q**2 + 0. What is m in b(m) = 0?
-7, -4
Let q = 110 + -86. Let n = 64 - q. Find t, given that -2*t**4 - 5*t**3 - 4*t**4 - 8*t**4 + 50*t**2 - 6*t**4 + 20*t - n - 5*t**5 = 0.
-2, 1
Let u(y) be the third derivative of -1/320*y**6 + 25*y**2 + 1/64*y**4 + 0 + 0*y**3 + 0*y**5 + 0*y. Find m, given that u(m) = 0.
-1, 0, 1
Let d = 55822/195867 + 20/27981. Factor 32/7 + d*z**2 + 34/7*z.
2*(z + 1)*(z + 16)/7
Suppose -q = 2*j - 22, 4*j - 5*q = -0*q + 30. Solve 4*v - 5 - 1 - 4 - 212*v**2 + j = 0 for v.
0, 1/53
Let h(g) = 5*g**2 - 23*g - 30. Let t(p) = 8*p**2 - p**2 - 92 - 85*p + 17*p + 7*p**2. Let o(s) = -20*h(s) + 6*t(s). Suppose o(d) = 0. Calculate d.
-3/4, 4
Suppose 0 = 7*v + 5*r - 85, -3*v + 42*r - 38*r = 25. Find m such that v*m**3 + 5*m + 0 + 45/2*m**2 - 10*m**5 - 45/2*m**4 = 0.
-2, -1, -1/4, 0, 1
Let c(m) be the third derivative of 0 - 1/2700*m**6 + 8*m**2 + 0*m - 1/900*m**5 + m**3 + 0*m**4. Let h(q) be the first derivative of c(q). Factor h(p).
-2*p*(p + 1)/15
Suppose -4*r = 5*i - 25, 4*r - 104*i + 111*i = 35. Determine m so that -25/2*m - 5/2*m**2 + r = 0.
-5, 0
Let v = -220 + 233. Suppose 3*s + s - 11 = -z, -z + v = 5*s. Factor 2*l**2 - 1 + 3/2*l**z - 1/2*l.
(l + 1)**2*(3*l - 2)/2
Factor -93 + 148*i + 104*i**2 - 103 + 48*i - 102*i**2 - 2*i.
2*(i - 1)*(i + 98)
Let d(h) be the first derivative of -2*h**3/33 - 37*h**2/11 + 76*h/11 - 400. Factor d(i).
-2*(i - 1)*(i + 38)/11
Solve 26/15*q**2 - 8/15*q**4 - 62/15*q**3 + 112/3*q - 40 = 0 for q.
-6, -5, 5/4, 2
Suppose -7*t = 2*t - 443 + 407. Let s(m) be the first derivative of 3*m**5 - 5*m**2 - 5*m**3 + 5/4*m**t - 5 + 0*m + 5/6*m**6. Let s(k) = 0. What is k?
-2, -1, 0, 1
Let y be (4 - 44/12)/((-3)/(-153)). Let g(j) = 15*j**2 + 570*j + 5398. Let v(b) = -5*b**2 - 190*b - 1799. Let i(z) = y*v(z) + 6*g(z). Factor i(m).
5*(m + 19)**2
Factor -109 - 44*j**2 - 168*j - 219 + 35*j**2 + 7*j**2.
-2*(j + 2)*(j + 82)
Suppose -3*h + 7 = -3*g + 5*g, 4*g = 4*h + 4. Let j(s) = 6*s**2 + 5*s + 3. Let l be j(-1). Find d, given that -4*d + 92*d**l - g*d - 89*d**4 - 3 + 6*d**3 = 0.
-1, 1
Let k(c) = 9*c**3 - 63*c**2 - 29*c + 205. Let d be k(7). Factor -4/9*b**d - 2/3*b**3 + 2/9*b**5 + 0*b**4 + 0 + 0*b.
2*b**2*(b - 2)*(b + 1)**2/9
Let t = 491 - 486. What is x in -3*x**3 + 3*x**2 - 3*x**4 - 8125*x**5 + 8127*x**t - x**2 = 0?
-1, 0, 1/2, 2
Suppose 4*o = 4*c - 12, -5*c + 15 = -7*o + 3*o. Suppose 6*g - 99 = -87. Factor g*a**c + 3*a**5 + 4*a**3 + 0*a**4 - 9*a**4.
3*a**3*(a - 2)*(a - 1)
Let h be (-268)/(-19363)*(9/(-10) - -1). Let u = 23114/4335 + h. Factor -2/3*v**2 - u*v - 32/3.
-2*(v + 4)**2/3
Let z(r) be the second derivative of r**6/315 - 3*r**5/70 + 17*r**4/126 + r**3/7 - 6*r**2/7 - 4071*r. Let z(b) = 0. Calculate b.
-1, 1, 3, 6
Let p(g) be the first derivative of g**5/15 - 10*g**4/3 + 77*g**3/9 - 19*g**2/3 - 3775. Factor p(y).
y*(y - 38)*(y - 1)**2/3
Suppose -5*f + 90 = -3*c, -3*f - 7*c = -8*c - 50. Let a be (-1*6/(-231))/(f/105). Find j such that 6/11*j + 26/11*j**2 - 14/11*j**3 + a*j**4 - 36/11 = 0.
-1, 2, 3
Let b(m) be the second derivative of 1/2*m**3 - 1/8*m**4 + 110*m - 3/40*m**5 + 0 + 0*m**2. Solve b(v) = 0 for v.
-2, 0, 1
Let b be 5 - ((-45)/(-405))/(2/78). Determine t so that b*t**2 + 32 + 32/3*t = 0.
-12, -4
Let q be 330/990 - 114/(-9). Find g such that 1/2*g**3 + q + 8*g**2 + 41/2*g = 0.
-13, -2, -1
Let o(u) = 5*u**3 + 40*u**2 - 455*u + 983. Let h(l) = l**3 - 2*l**2 + 3*l - 3. Let i(z) = 3*h(z) - o(z). Factor i(c).
-2*(c - 4)**2*(c + 31)
Let 80/3*x**3 - 32/9*x**4 - 8/3 - 86/3*x**2 - 176/9*x = 0. Calculate x.
-1/4, 2, 6
Let d(q) = -199*q**2 + 20627*q - 8854583. Let f(i) = -72*i**2 + 6876*i - 2951528. Let p(s) = 4*d(s) - 11*f(s). What is o in p(o) = 0?
859
Let t(o) be the third derivative of 5/6*o**4 - 17*o**2 + 0*o + 0 - 10/3*o**3 - 1/12*o**5. Factor t(j).
-5*(j - 2)**2
Let k(u) = 2*u**2 + u + 2. Let z(f) = -5*f**2 + 3*f - 8. Let o(t) = 2*k(t) + z(t). Factor o(l).
-(l - 4)*(l - 1)
Let n = -552 + 83. Let u be 113/14 + 268/n. Solve -3/2*h**3 + u*h**2 - 15/2 + 3/2*h = 0.
-1, 1, 5
Let m be (-1*2)/(-2)*1380/(-85). Let r = m - -2000/119. Factor 0*q**3 + 0*q + 0 + r*q**4 + 0*q**2.
4*q**4/7
Let k(m) be the second derivative of -m**7/21 + 134*m*