6*g**4. Factor y(r).
2*(r + 5)*(5*r - 2)/13
Let z = -10306/123 - -20735/246. Find r such that -6*r**3 - z*r**4 + 59/2*r**2 + 16 - 39*r = 0.
-16, 1, 2
Let j(y) = -y**2 - y + 16. Let i be j(0). Factor 64*z - 28*z**3 + 3751*z**4 - 13*z**2 - i*z**2 - 3*z**2 - 3755*z**4.
-4*z*(z - 1)*(z + 4)**2
Let j(p) = 19*p**3 - 273*p**2 + 15849*p - 86454. Let b(v) = -2*v**3 + 3*v**2 - v + 6. Let r(u) = -18*b(u) - 2*j(u). Factor r(g).
-2*(g - 120)**2*(g - 6)
Factor -28*f**3 - 1166 + 78*f**2 - 2706 + 85*f**4 + 582*f - 43*f**4 - 44*f**4 + 650*f.
-2*(f - 4)**2*(f + 11)**2
Let h(s) be the second derivative of s**7/2520 - 13*s**6/720 + s**4/3 - s**3/2 - 40*s. Let k(t) be the third derivative of h(t). Solve k(o) = 0 for o.
0, 13
Let w(g) = -66*g**3 + 417*g**2 - 624*g. Let v(y) = -5*y**3 + 32*y**2 - 48*y. Let m(c) = 27*v(c) - 2*w(c). Factor m(a).
-3*a*(a - 8)*(a - 2)
Suppose 0 = 5*b, 0 = -5*i + 4*i - b - 27. Let v be i/6*(-8)/(-864)*-4. Factor 1/3*p**3 + 0 - 1/3*p + 1/6*p**4 - v*p**2.
p*(p - 1)*(p + 1)*(p + 2)/6
Let l(v) be the first derivative of -62*v**3/3 - 495*v**2/8 + v/2 - 4785. Factor l(h).
-(h + 2)*(248*h - 1)/4
Let r(s) be the first derivative of 3*s**5/10 - 63*s**4/8 + 83*s**3/2 - 117*s**2/4 - 216*s - 96. Determine w, given that r(w) = 0.
-1, 3, 16
Factor 1/3*h**4 + 23*h + 0 - 7*h**3 - 49/3*h**2.
h*(h - 23)*(h - 1)*(h + 3)/3
Find y, given that 321602/3 + 1/6*y**2 - 802/3*y = 0.
802
Let w = -6781 - -6781. Let k(y) be the second derivative of -19*y + w + 0*y**2 - 3/40*y**5 + 0*y**4 + 1/4*y**3. Find x such that k(x) = 0.
-1, 0, 1
Let p(o) = 39*o - 108. Let b(w) = 35*w - 108. Let s(k) = 6*b(k) - 5*p(k). Let x be s(8). Suppose -96*h - 1/2*h**3 + 256 + x*h**2 = 0. What is h?
8
Factor 1/5*a**4 - 132/5*a - 134/5*a**2 + 132/5*a**3 + 133/5.
(a - 1)**2*(a + 1)*(a + 133)/5
Factor -1/5*i**2 + 61 - 304/5*i.
-(i - 1)*(i + 305)/5
Let 1471/4*k**2 + 1/4*k**3 - 135424 + 135056*k = 0. What is k?
-736, 1
Let k be ((-585)/26)/((-1)/(-10)). Let i = -225 - k. Suppose -1/4*g**3 + 1 - 3/4*g**2 + i*g = 0. What is g?
-2, 1
Let t be 1 + 2*(-57)/(-18) - (-70)/(-100)*10. Find o such that -97/3*o**2 + 2303/3*o + 2401/3 + t*o**3 = 0.
-1, 49
Let q be 8/5 - (-888)/370. Let i(n) be the first derivative of 4/3*n - 1/6*n**q - 37 + 5/3*n**2 - 2/15*n**5 + 2/3*n**3. Factor i(t).
-2*(t - 2)*(t + 1)**3/3
Suppose -2*i = 2 - 10. Solve -309*c**5 + 27*c**3 + 312*c**5 + 10*c**i + 5*c**4 + 21*c**2 + 6*c = 0 for c.
-2, -1, 0
Let n be (-32)/(-12)*5/(-20)*6. Let p(k) = -3*k**2 + 18*k + 4. Let u(d) = -8*d**2 + 54*d + 11. Let a(z) = n*u(z) + 11*p(z). Factor a(i).
-i*(i + 18)
Let a be ((-9)/(-2))/((-4)/(-8)). Let w = a - -11. Suppose -w*h**3 - 4*h**5 + 0*h**5 - 16*h**2 + 8*h**4 + 32*h**3 - 16*h + 0*h**4 = 0. What is h?
-1, 0, 2
Find o such that -92*o + 7569 + 7566 - o**2 - 15135 = 0.
-92, 0
Let j be ((-1)/2 - -1)*-2 - 3880/(-3492). Let a(q) be the first derivative of -3 + 0*q - j*q**3 + 1/3*q**2. Factor a(n).
-n*(n - 2)/3
Let d(t) = -4*t**3 + 288*t**2 + 220*t - 408. Let w(l) = -3*l**3 + 188*l**2 + 147*l - 272. Let z(v) = -5*d(v) + 8*w(v). Factor z(i).
-4*(i - 17)*(i - 1)*(i + 2)
Factor 35*t + 5/2*t**3 + 1/4*t**4 - 16 - 87/4*t**2.
(t - 4)*(t - 1)**2*(t + 16)/4
Suppose 16 = -4*b, 0 = -2*c + b - 54 + 138. Factor -48534*j**4 + 45 + 5*j + c*j**3 + 48539*j**4 - 45*j - 50*j**2.
5*(j - 1)**2*(j + 1)*(j + 9)
Let l(w) be the first derivative of -w**4 - 10*w - 8*w**3 - 14*w**2 + 2/5*w**5 - 35. Factor l(m).
2*(m - 5)*(m + 1)**3
Let y(w) be the third derivative of 11/60*w**5 + 1/210*w**7 + 0*w**3 + 95*w**2 + 7/120*w**6 + 0 + 0*w + 5/24*w**4. Factor y(n).
n*(n + 1)**2*(n + 5)
Let o(s) be the third derivative of 0 + 0*s - 175*s**2 - 1/160*s**5 - 17/16*s**4 - 289/4*s**3. Factor o(n).
-3*(n + 34)**2/8
Let t(u) = 31*u**2 + 1451*u + 1069. Let c(x) = -8*x**2 - 346*x - 267. Let h(o) = -26*c(o) - 6*t(o). Factor h(m).
2*(m + 11)*(11*m + 24)
Let j(m) be the third derivative of m**5/12 - 25*m**4/12 - 595*m**3/6 - 1457*m**2 - 1. Solve j(r) = 0 for r.
-7, 17
Let o(p) be the third derivative of -5*p**8/336 - 11*p**7/21 + 17*p**6/8 + 6*p**5 - 1527*p**2. Suppose o(v) = 0. Calculate v.
-24, -1, 0, 3
Let d(a) = a**3 - 21*a**2 - 6*a + 43. Let q be d(20). Let y = q - -3342/7. Suppose 6/7 - y*j**3 + 9/7*j + 0*j**2 = 0. What is j?
-1, 2
Let x(o) = -7*o**3 - 55*o**2 + 2. Let j(b) = 26*b**3 + 164*b**2 - 7. Let q(r) = -2*j(r) - 7*x(r). Solve q(v) = 0.
0, 19
Let j(r) be the first derivative of -7*r**5/20 + 271*r**4/16 - 29*r**3/2 - 151*r**2/2 - 38*r + 9545. Let j(p) = 0. What is p?
-1, -2/7, 2, 38
Let 2/5*w**5 + 2*w**2 - 2/5*w**4 - 8/5 - 2*w**3 + 8/5*w = 0. What is w?
-2, -1, 1, 2
Suppose -3*z - 40 = -5*i, -31*i + 27*i = -32. Let l(k) be the second derivative of -16/9*k**3 + z - 1/12*k**4 + 11/6*k**2 - 14*k. Find d, given that l(d) = 0.
-11, 1/3
Let m be 20/(-5)*(23/(-7) + 3). Let x(n) be the first derivative of 13 - m*n**2 + 20/21*n**3 - 4/7*n. Factor x(d).
4*(d - 1)*(5*d + 1)/7
Let m be (-4 - 3407)*(44/6 - 7). Let s = -1132 - m. Solve 0*z + 0 - 1/2*z**s - z**4 + 1/2*z**3 + z**2 = 0 for z.
-2, -1, 0, 1
Let q = 928/365 - 30664/16425. Let l = q - 2/225. Factor -l*r**2 - 10/3*r - 4.
-2*(r + 2)*(r + 3)/3
Suppose -4*q = 7*q - 22. Let t = -3/4370 + 2191/8740. Factor -t*f**q - 1 + 5/4*f.
-(f - 4)*(f - 1)/4
Let h = 2223922 + -4447841/2. Let 1/4*g**2 - h*g + 0 = 0. Calculate g.
0, 6
Let r be (-1290)/9450*-14 + -5*7/315. Solve -1/5*p**5 + 0*p + 0*p**2 - 6/5*p**4 - r*p**3 + 0 = 0.
-3, 0
Suppose 6*c + 159 - 177 = 0. Let y(l) be the second derivative of 3*l**c + 0 - 15/2*l**2 - 1/4*l**4 - 31*l. Find u such that y(u) = 0.
1, 5
Suppose 10 - 57 = -12*h + 13. Let o(r) be the third derivative of 1/48*r**4 + 1/480*r**h + 1/12*r**3 - 22*r**2 + 0 + 0*r. Solve o(d) = 0.
-2
Let w = 13431250/11 + -1220512. Factor w + 2/11*a**2 - 212/11*a.
2*(a - 53)**2/11
Let j(b) be the second derivative of b**5/24 + 295*b**4/72 + 95*b**3/6 - 2*b - 2521. Factor j(m).
5*m*(m + 2)*(m + 57)/6
Let l be 135/735*(-4)/((-192)/(-164)). Let z = 6/49 - l. Factor z*d - 21/8*d**2 + 0.
-3*d*(7*d - 2)/8
Let r be (-1)/2 + (-7 - (-76)/8). Factor -41*v**4 + 28*v + v**4 + 12*v**5 - 8*v**5 - 88*v**r + 57*v**3 + 39*v**3.
4*v*(v - 7)*(v - 1)**3
Let f = -73 + 194. Factor 51 - 24*i**3 - 1 + 27*i + 92*i**2 - 26*i - f*i + 2*i**4.
2*(i - 5)**2*(i - 1)**2
Let h = -2983 - -2985. Let u(n) be the first derivative of 1/24*n**3 + 5/4*n + 20 - 7/16*n**h. Factor u(r).
(r - 5)*(r - 2)/8
Let u(h) be the second derivative of h**4/6 + 178*h**3/3 + 792*h. What is s in u(s) = 0?
-178, 0
What is x in -19 + 736164*x**2 - 33 - 1124*x - 592*x + 53 = 0?
1/858
Suppose -91/4*b**3 - 47/2 - 279/4*b**2 + 1/4*b**4 - 281/4*b = 0. What is b?
-1, 94
Let n(d) = -20*d**2 + 2880*d - 11044. Let p(u) = -8*u**2 + 1152*u - 4415. Let g(z) = 5*n(z) - 12*p(z). Find j, given that g(j) = 0.
4, 140
Factor 91*d**3 + 91*d**3 - 1120*d**2 + 16089*d + 71*d**3 - 248*d**3 + 127690 + 45496*d.
5*(d - 113)**2*(d + 2)
Let t(c) be the first derivative of -c**6/24 + c**5/3 - 25*c**4/24 + 5*c**3/3 - 61*c**2 + 112. Let q(b) be the second derivative of t(b). Factor q(i).
-5*(i - 2)*(i - 1)**2
Factor -19/4*i - 1/4*i**2 + 75/2.
-(i - 6)*(i + 25)/4
Let z(k) be the third derivative of k**5/45 + 1285*k**4/9 + 3302450*k**3/9 - 2096*k**2. Solve z(i) = 0 for i.
-1285
Suppose -5*d = -4*d. Let i be ((173578/2891 - 57) + (-4)/98)/((-117)/(-24)). Factor -i*c**2 - 2/13*c**3 + d - 8/13*c.
-2*c*(c + 2)**2/13
Let k(v) = 4*v**2 + 27*v + 26. Let o(s) = -18*s**2 + 24 + 3*s**2 + 26*s + 19*s**2. Let z(b) = -2*k(b) + 3*o(b). Solve z(u) = 0.
-5, -1
Let p(z) be the second derivative of -z**5/570 + 23*z**4/228 - 22*z**3/57 - 132*z**2 - 92*z. Let r(d) be the first derivative of p(d). Factor r(b).
-2*(b - 22)*(b - 1)/19
Let t be ((-80)/24 - -3)*(-27)/(-1). Let i be 34/t - (-10 - (2 + -8)). Determine r so that -8/9*r**5 + 0*r + 0 + i*r**3 + 2/3*r**4 + 0*r**2 = 0.
-1/4, 0, 1
Let t = 22 - 18. Factor -10*d - 21*d - 32*d - 36 - t*d**2 + 23*d.
-4*(d + 1)*(d + 9)
Let n = -131 - -137. Factor 6 + 8*k + 4*k**2 + n + 0*k**2 - 8.
4*(k + 1)**2
Let m = -127 - -129. Factor 0*a**2 - a**m - 467*a + 452*a - 26.
-(a + 2)*(a + 13)
Suppose -2*u - 31 = 182*s - 177*s, -s + 1 = 4*u. Let z(m) be the second derivative of 1/32*m**4 + 1/16*m**3 + 14*m + 0*m**u + 0. Let z(g) = 0. What is g?
-1, 0
Suppose 2*h = 2*q + 1 - 1