). Factor i(g).
-3*(g + 1)*(g + 15)
Let z(u) be the second derivative of 6/5*u**5 - 17/6*u**3 - 1/4*u**4 + 54*u + 0 + 3*u**2 + 2/15*u**6. Factor z(k).
(k + 1)*(k + 6)*(2*k - 1)**2
Let p(v) be the second derivative of v**4/6 - 71*v**3/3 + v - 140. Factor p(w).
2*w*(w - 71)
Let q be (10 - (-14)/(-4))*(-76)/(-1235). Factor -q - 1/5*j**2 - 3/5*j.
-(j + 1)*(j + 2)/5
Let q(l) = 10*l**4 + 53*l**3 + 85*l**2 + 86*l + 23. Let v(y) = 7*y**4 + 36*y**3 + 56*y**2 + 57*y + 15. Let m(j) = -5*q(j) + 7*v(j). Find z such that m(z) = 0.
-10, -1
Let t(i) be the second derivative of -i**4/18 - 2476*i**3/9 - 1532644*i**2/3 + 3454*i - 1. Factor t(g).
-2*(g + 1238)**2/3
Suppose -2*n + 2 = 0, 8*p - 5*n = 9*p - 264. Suppose 6*l = 113 + p. Factor 3615*b**2 + 22*b**5 + 92*b**4 + l*b - 3503*b**2 + 148*b**3 - 24*b + 5 - 1.
2*(b + 1)**4*(11*b + 2)
Let s(t) = -12*t**2 - 77*t - 17. Let a(o) = 2*o**2 + 13*o + 3. Let x be (-6*(4 - 2))/(-2). Let i(j) = x*s(j) + 34*a(j). Solve i(p) = 0 for p.
-5, 0
Let u be (110/66)/(-5) - (-2)/(-3) - 7 - -11. Find f, given that 60/13*f**2 + 12/13 - 58/13*f - 14/13*f**u = 0.
2/7, 1, 3
Let y(n) = 7*n**3 - 150*n**2 + 5814*n - 85184. Let f(i) = i**3 - 3*i**2 + i. Suppose 0 = -30*b - 0*b - 180. Let r(w) = b*f(w) + y(w). Let r(g) = 0. Calculate g.
44
Factor -70*t - 3*t**2 + 2*t**2 - 632 + 563.
-(t + 1)*(t + 69)
Let q be -478*((-39)/26 + (-1 - -2)). Factor q + 15*h**2 - 26*h - 14*h - 219.
5*(h - 2)*(3*h - 2)
Let j(a) be the first derivative of 3*a**4/4 + 423*a**3 - 2547*a**2/2 + 1275*a - 360. Suppose j(u) = 0. Calculate u.
-425, 1
Let b(x) be the third derivative of -x**7/735 - 19*x**6/210 + 163*x**5/210 - 52*x**4/21 + 4*x**3 + 29*x**2 - 6*x. Determine f, given that b(f) = 0.
-42, 1, 2
Let l(j) be the third derivative of 0*j - 12*j**2 + 3/80*j**5 - 1/840*j**7 - 4 - 1/3*j**3 - 1/48*j**4 + 1/240*j**6. Solve l(v) = 0.
-2, -1, 1, 4
Let d(j) be the first derivative of -2*j**6/3 + 292*j**5/5 + 153*j**4 - 868*j**3/3 - 1192*j**2 - 1200*j - 2512. Determine n, given that d(n) = 0.
-2, -1, 2, 75
Let n be (2/20*6)/((1 - -17)/180). Let l(p) be the first derivative of -6*p - n - 2*p**3 - 1/4*p**4 - 11/2*p**2. Factor l(o).
-(o + 1)*(o + 2)*(o + 3)
Let c = 5 + 22. Suppose c = 7*l - 1. Factor -l*w + 19*w**3 + 19*w - 4*w**3 + 18*w**2 - 12*w**3.
3*w*(w + 1)*(w + 5)
Let k(z) = -z**3 - 4*z**2 + 3*z + 4. Let s be k(-5). Suppose -2*p + 44 = 2*y, y + 7 = 13. Factor 3*u**2 - p*u - 8*u**2 - s*u - 45.
-5*(u + 3)**2
Let z be 390/(-30) - (-25 - -8). Factor 0*g + 4/3*g**3 - 8/9*g**2 - 4/9*g**z + 0.
-4*g**2*(g - 2)*(g - 1)/9
Let m = 598085 - 598075. Factor -2*c**2 - m + 81/2*c.
-(c - 20)*(4*c - 1)/2
Determine a, given that 10448*a**2 - 28314*a**3 + 72 - 1472*a + 2197/2*a**5 + 36335/2*a**4 = 0.
-18, 2/13, 1
Let o = -534 - -636. Let -111*k**3 - 8 - 105*k**2 - 45*k + 13 + o*k**3 - 46*k**3 = 0. What is k?
-1, 1/11
Let d(h) = h**2 - 249*h + 6. Let j(i) = -7*i**2 + 1746*i - 43. Let t(b) = -43*d(b) - 6*j(b). Suppose t(o) = 0. What is o?
0, 231
Let r = 878079/4 - 219519. Let 27/2 - r*h**2 + 51/4*h = 0. Calculate h.
-1, 18
Factor 7 + 6*d - 3*d**3 - 3*d + 15*d**2 - 22.
-3*(d - 5)*(d - 1)*(d + 1)
Solve -23*p**2 + 28*p**4 - p**5 - 13*p**4 + 6*p**3 + 4*p**3 + 10*p - 16*p**4 + 5*p**3 = 0 for p.
-5, 0, 1, 2
Suppose -o**2 - 32/3*o - 1/3*o**4 + 28/3 + 8/3*o**3 = 0. Calculate o.
-2, 1, 2, 7
Determine x, given that -99825*x**5 - 261360*x**4 + 221184 + 407086*x**3 + 581381*x**2 - 728064*x + 187029*x**2 - 235802*x**2 - 95038*x**3 = 0.
-12/5, 8/11
Find h, given that -24640/9*h - 24200/9 - 2/9*h**3 - 442/9*h**2 = 0.
-110, -1
Let p = -209972 - -2309706/11. Factor 2/11*k**3 + p*k**2 + 12/11*k + 0.
2*k*(k + 1)*(k + 6)/11
Let n = 24189/20 + -4837/4. Factor 0 - 2/5*v + n*v**3 + 1/5*v**2.
v*(v - 1)*(v + 2)/5
Let b be (-5 - -1 - -4) + (-6)/(-642). Let w = b + 103/428. Determine r so that w*r - 1/2*r**2 + 1/2 - 1/4*r**3 = 0.
-2, -1, 1
Let o = -331 + 336. Let 21*d**o - 5*d**5 + 20*d**4 - 21*d**5 + 5*d**3 - 20*d**2 = 0. Calculate d.
-1, 0, 1, 4
Let m(v) = -16*v + 16. Let g be m(-4). Suppose -j + 2*j - 30 = -3*t, -4*j + g = 4*t. Let j*d**4 - 12*d**4 - 5*d**2 - d**2 - 3*d**3 = 0. What is d?
-1, 0, 2
Let s(f) be the third derivative of f**6/270 - f**5/45 + f**4/18 + 5*f**3/3 + 121*f**2. Let y(p) be the first derivative of s(p). Factor y(j).
4*(j - 1)**2/3
Let a = 225 + -4288/19. Let g = 83/38 + a. Find x such that -9/4*x + 3/4*x**3 + 0*x**2 - g = 0.
-1, 2
Let z(k) be the second derivative of 5/12*k**4 - 4*k + 35*k**2 - 25/2*k**3 + 0. Factor z(m).
5*(m - 14)*(m - 1)
Suppose -1235*t + 353*t = 452*t. Factor 3/4*k**3 + 0*k**4 + 0*k + t - 1/4*k**5 + 1/2*k**2.
-k**2*(k - 2)*(k + 1)**2/4
Let q(a) be the third derivative of a**7/840 - a**6/360 - 55*a**3/6 + 11*a**2. Let g(t) be the first derivative of q(t). Factor g(i).
i**2*(i - 1)
Let o(u) be the first derivative of 2*u**3/3 + 116*u**2 - 472*u - 3941. Find n such that o(n) = 0.
-118, 2
Let t(r) be the first derivative of -47/3*r**3 - 249 + 1/6*r**6 - 21/4*r**4 - 12*r - 20*r**2 - 1/5*r**5. What is z in t(z) = 0?
-2, -1, 6
Let v(p) be the first derivative of p**6/2 + 144*p**5/5 + 915*p**4/4 + 758*p**3 + 1242*p**2 + 984*p + 5832. Factor v(c).
3*(c + 1)*(c + 2)**3*(c + 41)
Let 4150*m + 1620000 - 60*m**2 - 97*m**2 + 159*m**2 - 550*m = 0. What is m?
-900
Let s(g) be the first derivative of 5*g**4/16 + 475*g**3/12 - 965*g**2/8 + 485*g/4 + 923. Determine b, given that s(b) = 0.
-97, 1
Let z(j) be the third derivative of -j**7/7980 - j**6/855 - j**5/285 - j**3/3 + 54*j**2. Let r(x) be the first derivative of z(x). What is h in r(h) = 0?
-2, 0
Let n = 153169/12 + -12764. Let c(o) be the second derivative of -1/10*o**5 - 1/24*o**6 - 7 + 0*o**2 - 4*o + 0*o**3 - n*o**4 - 1/168*o**7. Solve c(i) = 0.
-2, -1, 0
Factor -35*s - 5/3*s**2 + 270.
-5*(s - 6)*(s + 27)/3
Let s(n) be the third derivative of -1/36*n**4 + 0*n + 0*n**3 + 24 + n**2 - 1/90*n**7 - 2/45*n**6 - 11/180*n**5. Solve s(q) = 0 for q.
-1, -2/7, 0
Let t = 477 + -961. Let i be (-6 - -1) + t/(-66). Solve -2/3 - 7/3*p**2 + i*p + 2/3*p**3 = 0.
1/2, 1, 2
Let r = -1030655 - -1030664. Let -r - 6*p - 3/4*p**2 = 0. What is p?
-6, -2
Let h be (-6)/(-45)*3 + 24/(-60). Let d(f) = f**2 + 7*f + 5. Let y be d(h). Let 2/3*p**2 + 0 - 2/3*p**y + 2/3*p**3 + 0*p - 2/3*p**4 = 0. What is p?
-1, 0, 1
Let g = 2304 - 2304. Let o(d) be the third derivative of 1/12*d**6 + 0 - 6*d**2 + g*d**3 + 1/4*d**5 + 0*d - 5/12*d**4. Find n, given that o(n) = 0.
-2, 0, 1/2
Let r(y) be the first derivative of -y**3/5 + 897*y**2/10 + 1294. Factor r(m).
-3*m*(m - 299)/5
Let j(h) be the first derivative of -h**6/8 - 11*h**5/4 - 19*h**4 - 37*h**3 + 8*h**2 + 64*h + 1366. Solve j(p) = 0.
-8, -2, -1, 2/3
Let w(u) be the third derivative of 5*u**7/147 + 9*u**6/28 + 151*u**5/210 + 15*u**4/28 + 4*u**3/21 - 270*u**2 + 1. Let w(q) = 0. What is q?
-4, -1, -1/5
Let z(c) = 277*c - 70912. Let i be z(256). Factor 2/7*a**3 + 2/7*a + i - 5/7*a**2.
a*(a - 2)*(2*a - 1)/7
Factor -50/9*a**2 + 0*a + 2/9*a**4 + 0 + 16/3*a**3.
2*a**2*(a - 1)*(a + 25)/9
Let t = -1085434/9 - -120618. Factor -2/9*x**2 - t + 32/9*x.
-2*(x - 8)**2/9
Let g(n) = n**4 - 246*n**3 - 754*n**2 - 736*n - 239. Let z(c) = 2*c**4 - 244*c**3 - 756*c**2 - 736*c - 238. Let q(p) = 6*g(p) - 5*z(p). Factor q(f).
-4*(f + 1)**3*(f + 61)
Let b be 0*(6/4)/3. Let d(t) = t**2 - t + 10. Let n be d(b). Factor 1 + 7*i - n*i + i + i**2.
(i - 1)**2
Let m be (11/286)/((-2)/(-24)). Let s = -19671 - -255729/13. Factor -2/13*n**5 - 4/13*n**2 - 4/13*n**3 - 2/13 + s*n + m*n**4.
-2*(n - 1)**4*(n + 1)/13
Let x be (20/(-45)*81/378)/(-6*(-6)/(-84)). Determine y, given that 56/9 + x*y**3 - 56/9*y**2 - 2/9*y = 0.
-1, 1, 28
Let p be ((-207)/3542*-55*(-14)/(-20))/(66/16). Factor p*q + 1/11*q**3 + 7/11*q**2 + 0.
q*(q + 1)*(q + 6)/11
Factor -2/5*u**2 + 456/5 - 146/5*u.
-2*(u - 3)*(u + 76)/5
Suppose 5*h + 3 = 2*h. Let o(b) = -4*b**2 + 4*b - 4. Let a(j) be the first derivative of j**3/3 - j**2/2 + 421. Let w(n) = h*o(n) - 6*a(n). Factor w(c).
-2*(c - 2)*(c + 1)
Suppose 25*n = 16*n + 252. Let x = n - 26. Factor -36*c**x + 11*c + 56*c + 4*c**3 - 7*c + 100.
4*(c - 5)**2*(c + 1)
Let l be (5655/(-3770)*4/10)/((-4)/(40/33)). Factor -l*r**2 - 288/11 - 48/11*r.
-2*(r + 12)**2/11
Let s(n) be the second derivative of -n**5/100 + 8*n**4/15 - 89*n**3/30 + 29*n**2/5 - 12