.
-2*o*(o - 2)*(o + 1)*(2*o + 1)
Let q(g) be the first derivative of 3*g**4 + 0*g**2 - 3/10*g**5 + 79 - 7/2*g**3 + 0*g. Factor q(p).
-3*p**2*(p - 7)*(p - 1)/2
Let x = 24463 - 24460. Let q(u) be the first derivative of -15/2*u**4 + 10 - u**5 - 20*u**2 + 0*u - 20*u**x. Factor q(z).
-5*z*(z + 2)**3
Let q(c) = -2*c**3 + 277*c**2 - 8957*c - 29400. Let d(z) = -4*z**3 + 555*z**2 - 17913*z - 58800. Let w(y) = -3*d(y) + 7*q(y). Factor w(k).
-2*(k - 70)**2*(k + 3)
Let m(g) be the third derivative of -g**6/60 - 3*g**5/2 - 54*g**4 - 1008*g**3 + 555*g**2. Factor m(o).
-2*(o + 12)**2*(o + 21)
Let b(q) be the third derivative of q**5/210 - q**4/42 - 16*q**3/7 - q**2 + 10*q. Find r such that b(r) = 0.
-6, 8
Let n(h) be the second derivative of 36*h**2 - h - 10*h**3 - 1/2*h**4 + 3/4*h**5 - 12 - 1/10*h**6. Find o such that n(o) = 0.
-2, 2, 3
Let g(i) be the second derivative of i**7/63 - i**5/30 + 599*i. Find h such that g(h) = 0.
-1, 0, 1
Suppose -d = -5*y - 35, -5*d - 5*y - 10 = -5. Let u(q) be the third derivative of 0*q**3 - 1/130*q**d + 0*q + 21*q**2 + 0 - 1/780*q**6 + 1/39*q**4. Factor u(c).
-2*c*(c - 1)*(c + 4)/13
Let b(v) = -12*v - 106. Let s be b(-9). Suppose s*u - 15 = 4*i - 1, -5*i - 4 = 2*u. Solve -1/2*j + 1/2*j**2 + 1/6 - 1/6*j**u = 0.
1
Let v(m) be the second derivative of -56*m + 81/10*m**2 + 5/4*m**4 + 1 - 3/100*m**5 + 53/10*m**3. Factor v(s).
-3*(s - 27)*(s + 1)**2/5
Solve 96*k**2 + 1296/5*k - 3/5*k**5 - 24/5*k**3 - 36/5*k**4 + 192 = 0.
-10, -2, 4
Let i(h) be the first derivative of 8*h**5/5 - 499*h**4 - 1002*h**3 - 1505*h**2/2 - 251*h - 8663. Determine n, given that i(n) = 0.
-1/2, 251
Let m(l) be the second derivative of -3*l**5/20 - 28*l**4 - 1568*l**3 + 3*l + 73. Determine i so that m(i) = 0.
-56, 0
Let r(b) be the second derivative of b**6/360 - b**5/20 + 3*b**4/8 + b**3 - 3*b**2 + 2*b + 5. Let g(q) be the second derivative of r(q). Factor g(x).
(x - 3)**2
Let r(h) be the first derivative of -3*h**4/32 - 9*h**3/8 - 21*h**2/8 + 9*h + 1346. What is w in r(w) = 0?
-6, -4, 1
Suppose 9/7*w**3 + 3/7*w**4 - 24/7*w**2 - 36/7*w + 48/7 = 0. What is w?
-4, -2, 1, 2
Let u be (64/(-3))/(-8) - (-5)/15. Determine f, given that -228*f - 387*f**2 - 33 + 37*f**4 - 29*f**4 - 51*f**u - 12 + 27*f**5 + 91*f**4 + 9 = 0.
-3, -2, -1/3, 2
Let t be -998 - 6/(-27)*(-14 - -5). Let w be t/(-2275) + 4/42*-3. Solve -6/13*c**3 + 6/13*c**4 + w*c**2 + 0*c - 2/13*c**5 + 0 = 0 for c.
0, 1
Let k be (-2)/(-3) + (-2564)/9615. Factor 0 + 8/5*m - k*m**2.
-2*m*(m - 4)/5
Let z be 3 - (-3 - -3 - 85588). Let k be (z/11)/(2/2). Factor 24*f**2 + k*f - 7781*f - 3*f**3.
-3*f**2*(f - 8)
Let l(w) be the second derivative of w**5/70 - w**4/14 - 6*w**3/7 - 434*w + 3. Factor l(v).
2*v*(v - 6)*(v + 3)/7
Let p(n) = 8*n + 15. Let g be p(-3). Let u be (9/(-6))/((g/(-6))/(-3)). Suppose 11*i**3 - 2*i - i**4 + 1 - 9*i**u + 0 = 0. What is i?
-1, 1
Find c such that 1458*c - 328505*c**2 + 326567*c**2 - 3*c**4 + 5*c**4 + 478*c**3 = 0.
-243, 0, 1, 3
Let t be (-6)/14 + 168/49. Solve -3*q**2 + 5*q - 34*q**t - 3*q**2 + 39*q**3 + 16*q**2 = 0 for q.
-1, 0
Let k(p) be the first derivative of 2*p**3/33 - 58*p**2/11 - 496*p/11 - 5725. Factor k(a).
2*(a - 62)*(a + 4)/11
Factor -6 - 92*l - 1058/3*l**2.
-2*(23*l + 3)**2/3
Factor 221*u + 1468*u**4 - 11*u**2 - 249*u**2 - 1472*u**4 - 21*u + 64*u**3.
-4*u*(u - 10)*(u - 5)*(u - 1)
Let b = 1889/39 - -58654/273. Let a = b + -263. Factor -2/7*k**2 + 4/7*k - a.
-2*(k - 1)**2/7
Let n(g) be the second derivative of g**5/30 + 49*g**4/9 - 11*g**3 + 2*g - 1051. Factor n(z).
2*z*(z - 1)*(z + 99)/3
Factor -2/3*a**4 + 0 - a**3 - 4/3*a + 1/3*a**5 + 8/3*a**2.
a*(a - 2)*(a - 1)**2*(a + 2)/3
Let s be ((-11)/((-154)/(-7)))/((-1)/6) + -1. Factor -1/4*a**3 + 0*a**s + 0 + 9/4*a.
-a*(a - 3)*(a + 3)/4
Let l(v) be the second derivative of -v**7/14 - 121*v**6/6 + 611*v**5/60 + 337*v**4/12 + 101*v**3/9 + 5156*v. Find j such that l(j) = 0.
-202, -1/3, 0, 1
Let m(w) be the first derivative of w**3/12 - 164*w**2 + 107584*w - 765. Factor m(s).
(s - 656)**2/4
Let y(z) be the first derivative of 3*z**4/16 - 3*z**3 + 117*z**2/8 - 21*z - 1537. What is w in y(w) = 0?
1, 4, 7
Suppose 0 = y - 5*u - 5, -u - 1 = -2*y + 6*y. Let s(m) = m**2 - 38*m + 168. Let p be s(33). What is d in -8*d**2 + p*d**4 + 8*d**2 + y*d**2 = 0?
0
Let b(k) be the third derivative of 1/60*k**5 + 15 + 0*k**4 + 0*k - 1/420*k**7 - 1/12*k**3 + k**2 + 0*k**6. Factor b(c).
-(c - 1)**2*(c + 1)**2/2
Let t(m) = m**2 - 17*m - 26. Let g(z) = -80*z - 3 - 24 + 2*z**2 + 66*z. Let o(n) = 4*g(n) - 3*t(n). Determine s so that o(s) = 0.
-2, 3
Let p(v) be the first derivative of -v**6/3 + 2*v**5/5 + 219*v**4/2 + 1678*v**3/3 + 1030*v**2 + 816*v - 11408. What is b in p(b) = 0?
-12, -2, -1, 17
Let i = 6674 + -6669. Let y(c) be the third derivative of 0 + 5*c**2 + 0*c + 1/300*c**i + 0*c**3 + 1/60*c**4 - 1/600*c**6. Factor y(x).
-x*(x - 2)*(x + 1)/5
Let d = 162 + -159. Factor -11*u + d*u**2 + 8*u + u**2 - 9*u.
4*u*(u - 3)
Let h be 10/(-27)*(-11262)/9385. Let -2/9*a**2 - h - 2/3*a = 0. Calculate a.
-2, -1
Suppose 6*m - 116 = 94. Let l = m - 33. Factor -9*v + 23*v - 33*v**2 + 10*v**3 - 4 + 15*v**2 - l*v**4.
-2*(v - 2)*(v - 1)**3
Suppose -p + 7488 = 23*p. Let i = p - 309. Factor -4/5*o**i - 1/5 + 1/5*o**2 + 4/5*o.
-(o - 1)*(o + 1)*(4*o - 1)/5
Let j be (11*(-10)/(-1210) - (-1875)/66)/(5 - -1). Determine d, given that j*d - 1/4*d**2 + 0 = 0.
0, 19
Suppose 6*q + 392 = 34*q. Factor t + 13*t**2 + 4 + 2 - q*t**2.
-(t - 3)*(t + 2)
Suppose -30*q - 462 = -41*q. Suppose q*g + 92 = 88*g. Factor -15/8*u**3 + 0 + 3*u + 3/4*u**g + 3/8*u**4.
3*u*(u - 4)*(u - 2)*(u + 1)/8
Let v(h) be the second derivative of 5*h**4/24 + 1205*h**3/6 + 290405*h**2/4 + 24*h. Factor v(j).
5*(j + 241)**2/2
Let c(r) be the third derivative of r**5/240 - 5*r**4/24 + 3*r**3/2 - 3190*r**2. Solve c(w) = 0.
2, 18
Let f(x) be the first derivative of x**6/72 - 17*x**5/24 + 10*x**4/3 + 14*x**3/3 - 2*x - 214. Let q(s) be the third derivative of f(s). Factor q(v).
5*(v - 16)*(v - 1)
Suppose -5*w + 606 = -4*n, 2*n = 5*w - 2*w - 364. Factor -w*v - 2280*v - 24 + 469*v - 421362*v**2 - 3575*v - 10744731*v**3.
-3*(153*v + 2)**3
Let n be (((-2)/(-3))/2)/(-31 - 12352/(-384)). Find f, given that -10*f - 22/7*f**2 - n*f**3 - 50/7 = 0.
-5, -1
Factor -931*p - 930*p + 1916*p + 5*p**2 - 630.
5*(p - 7)*(p + 18)
Let u(d) be the third derivative of d**8/252 + 46*d**7/315 + 35*d**6/18 + 49*d**5/5 + 1560*d**2. Factor u(p).
4*p**2*(p + 7)**2*(p + 9)/3
Let a(s) = -5*s**5 - 4*s**4 + 5*s**3 + 10*s**2 + 6*s. Let n(u) = 86*u**5 - u - 3*u + 3*u - u**2 - 85*u**5 - u**3. Let t(f) = -a(f) - 6*n(f). Factor t(g).
-g**2*(g - 4)*(g - 1)*(g + 1)
Let j be 2 + 4/(-26) + 2044*27/7371. Factor -j + 26/3*l + 2/3*l**2.
2*(l - 1)*(l + 14)/3
Suppose 0 = 5*c + 5*m - 10, -83 + 73 = -4*c - 2*m. Suppose -4*f = 2*t - 16, -5*t = -0*t + 3*f - 12. Factor -2/3*v**2 + 2/3*v**c + t - 4/3*v.
2*v*(v - 2)*(v + 1)/3
Let h = 341 + -232. Find v such that -495 + h*v - 31*v + 74*v - 949 - 4*v**2 = 0.
19
Factor 680*p**2 + 748*p**2 + 13 + 63*p**4 - 46 - 210 + 918*p - 48*p**4 + 282*p**3.
3*(p + 1)*(p + 9)**2*(5*p - 1)
Determine w, given that -30/13*w**3 + 24/13*w**2 + 0 + 2/13*w**4 + 56/13*w = 0.
-1, 0, 2, 14
Find n, given that -36*n**3 - 606*n - 511*n**2 - 329 + 2*n**5 + 123*n**2 + 18*n**4 + 59 = 0.
-9, -3, -1, 5
Suppose -44*c + 87 = -45. Suppose 4*f + 10 = -2*q + 18, -4*q = c*f - 16. Solve 2/3*z**q + 5/3*z + 3*z**2 + 7/3*z**3 + 1/3 = 0.
-1, -1/2
Suppose 44*t - 30*t - 798 = 0. Factor -7 + 9*q + 3*q + 10 + t*q**3 - 45*q**3 + 18*q**2 + 3*q**4.
3*(q + 1)**4
Find t such that -10916*t**2 - 81296265956/3 - 4/3*t**3 - 29789764*t = 0.
-2729
Let b(x) be the first derivative of -x**6/51 - 56*x**5/85 + 62*x**4/17 - 256*x**3/51 + 7072. Solve b(l) = 0 for l.
-32, 0, 2
Let d(v) = 6*v + 0 - 4 - 1 + 15 - 10*v**2. Let y(c) = -10*c**2 + 6*c + 9. Suppose -25 = -2*w + 7*w. Let m(o) = w*d(o) + 6*y(o). Suppose m(i) = 0. Calculate i.
-2/5, 1
Let m(q) = 3*q**3 + 750*q**2 + 5808*q + 11508. Let p(a) = 3*a**3 + 749*a**2 + 5808*a + 11510. Let v(x) = 5*m(x) - 6*p(x). Factor v(l).
-3*(l + 4)**2*(l + 240)
Let g(a) be the second derivative of 1/3*a**3 + 1/5*a**6 - 5/6*a**4 + 2*a**2 - 57 + a - 1/10*a**5. What is d in g(d) = 0?
-1, -2/3, 1
Let a(s) be the second derivative of -7*s**4/36 - 24*s**3 + 