4*l + j. Factor 2/15*g**l + 6/5 + 4/5*g.
2*(g + 3)**2/15
Let j be -1 + (-528)/2*(-65)/10. Let b be j/7*4/10. What is g in -16*g - 308*g**3 + 36*g**4 + 58*g**5 + 68*g**5 - 136*g**2 - b*g**4 = 0?
-1, -2/7, -2/9, 0, 2
Let h(g) = -g**2 - 58*g - 109. Let x be h(-2). Let q(w) be the second derivative of 5/12*w**4 + 0 + 5/2*w**2 + 6*w - 5/3*w**x. Solve q(o) = 0.
1
Let r(b) be the first derivative of 1/16*b**4 - 19/2*b**3 + 1083/2*b**2 - 13718*b + 147. Factor r(d).
(d - 38)**3/4
Let x(y) = 9*y**2 - 26*y + 2. Let c(m) = -63*m**2 + 180*m - 15. Suppose 0 = 7*b - 35 - 70. Let v(u) = b*x(u) + 2*c(u). Let v(h) = 0. Calculate h.
0, 10/3
Let y(h) be the second derivative of 0*h**4 + 6/5*h**5 + 1/10*h**6 + h + 0*h**2 + 0*h**3 - 11. Factor y(p).
3*p**3*(p + 8)
Let r(x) be the first derivative of x**5/140 + x**4/84 - 8*x**3/21 + 10*x**2/7 - 42*x + 82. Let t(n) be the first derivative of r(n). Let t(m) = 0. Calculate m.
-5, 2
Find l, given that 39346*l**3 - 9616*l**3 - 33287*l**2 + 601792 - 480*l**4 + 2*l**5 - 76653*l**2 - 100528 - 92040*l = 0.
-2, 3, 118
Let o = 3700313/102 - 217585/6. Find j such that 6498/17 + 2/17*j**2 + o*j = 0.
-57
Let s(d) be the third derivative of -d**7/490 - 4*d**6/35 - 9*d**5/7 + 162*d**4/7 + 3596*d**2. Determine i so that s(i) = 0.
-18, 0, 4
Let u(d) be the first derivative of -d**4/4 + 13*d**3/3 - 11*d**2/2 - 10*d + 18. Let v be u(12). Factor -c**4 - 5*c**3 + v*c**3 - c + 32 - 3*c**2 - 32.
-c*(c + 1)**3
What is g in -40 - 70/9*g**2 - 104/3*g - 2/9*g**3 = 0?
-30, -3, -2
Let q(v) be the second derivative of 2*v**6/15 + 3*v**5/5 - 2*v**4 - 16*v**3/3 + 17*v + 25. Factor q(t).
4*t*(t - 2)*(t + 1)*(t + 4)
Let q be -26192*10/(-640) + 95/(-5). Let 585/2*z**3 + 13 + 131*z + q*z**2 + 81/4*z**4 = 0. Calculate z.
-13, -1, -2/9
Let l be 109 - 116 - (427/(-35) - -2). Find g such that -4/5*g**5 + 16/5 - 4*g**2 - l*g + 4*g**3 + 4/5*g**4 = 0.
-2, -1, 1, 2
Solve 26 - 2/19*b + 2/19*b**3 - 26*b**2 = 0 for b.
-1, 1, 247
Let u(w) be the third derivative of -w**8/168 - 73*w**7/735 - 31*w**6/105 + 58*w**5/35 - 12*w**4/7 - 942*w**2. Find y, given that u(y) = 0.
-6, 0, 4/7, 1
Let y(v) be the first derivative of -18 + 88/5*v**2 + 11/2*v**4 + 1/15*v**6 + 56/5*v + 206/15*v**3 + 26/25*v**5. Suppose y(t) = 0. Calculate t.
-7, -2, -1
Let y(x) be the second derivative of x**4/36 + 29*x**3/3 - 176*x**2/3 - 876*x + 2. Solve y(p) = 0 for p.
-176, 2
Factor 2256/7 - 3960/7*d + 3*d**2.
3*(d - 188)*(7*d - 4)/7
Solve -137*x + 44*x - 42*x + 415 + 5*x**2 - 25*x - 260*x = 0.
1, 83
Let b(j) = -5*j**2 - 20*j + 20. Let p(n) = -10 - n + n**2 + 10*n + 2*n + n**2. Let v(u) = 3*b(u) + 5*p(u). Factor v(c).
-5*(c - 1)*(c + 2)
Let d(y) be the third derivative of y**6/840 - 4*y**5/105 + 23*y**4/56 - 9*y**3/7 - y**2 + 87*y. Determine x so that d(x) = 0.
1, 6, 9
Let n = 93 + -81. Let p be ((-64)/n)/(-4) - 16/24. Factor 2/3 + 1/3*c - 1/3*c**3 - p*c**2.
-(c - 1)*(c + 1)*(c + 2)/3
Suppose 63*u + 96*u = -115*u + 232*u + 84. Factor 0 + 148/3*n**3 + 64/9*n**4 - 1088/9*n**u + 578/9*n + 2/9*n**5.
2*n*(n - 1)**2*(n + 17)**2/9
Let d = 609824/3 - 203274. Determine w so that 0 + 49*w**5 + 217/6*w**4 + d*w**2 + 26/3*w**3 + 0*w = 0.
-2/7, -1/6, 0
Factor -7*q**4 + 5*q**4 - 2498*q**2 + 234*q**3 - 1029*q**2 + 6264*q - 3429*q**2 + 13456.
-2*(q - 58)**2*(q - 2)*(q + 1)
Let j(y) be the first derivative of y**6/180 + y**5/90 - 11*y**4/12 + 7*y**3 + y**2/2 - 34*y + 104. Let m(o) be the second derivative of j(o). Factor m(r).
2*(r - 3)**2*(r + 7)/3
Let g(p) = -p**3 + 6*p**2 + 13*p + 26. Let q be g(8). Suppose -4*n - q*d = -164 - 170, -81 = -n - 3*d. Solve n + 131 - 63 - 60*a + 28 + 5*a**2 = 0 for a.
6
Suppose 635*w = 2456 + 33914 + 3635. Find j such that -40*j - w*j**3 + 6 + 157/2*j**2 - 2*j**5 + 41/2*j**4 = 0.
1/4, 1, 2, 6
Let g(y) = -11*y**2. Let q(p) = -76*p**2 + 851*p - 852. Let t(s) = 14*g(s) - 2*q(s). Factor t(w).
-2*(w - 1)*(w + 852)
Let w(y) = 20*y**2 - 5640*y - 11360. Let i(o) = 15*o**2 - 4230*o - 8520. Let x(p) = -13*i(p) + 10*w(p). Suppose x(u) = 0. Calculate u.
-2, 284
Let o = -167510/39 - -4296. Let l = o + 6/13. What is w in l*w**2 - 4/3*w + 0 + w**3 = 0?
-2, 0, 2/3
Factor -3580*f**3 + 25*f**4 - 2750 + 4990 + 1463*f + 9161*f + 11124*f**2.
(f - 140)*(f - 4)*(5*f + 2)**2
Suppose -1946/3*h + 488/3*h**2 - 8 = 0. What is h?
-3/244, 4
Let f(t) be the third derivative of -t**7/42 + 7063*t**6/480 - 521*t**5/120 - 6007*t**4/96 + 353*t**3/4 - 411*t**2 - 5. Find l, given that f(l) = 0.
-1, 2/5, 3/4, 353
Factor -20*x + 1/2*x**3 + 3*x**2 - 96.
(x - 6)*(x + 4)*(x + 8)/2
Let d be (-47535)/(-24) + -1 - 63/168. Let m = d + -1979. Let 0*c - 1/4*c**3 + m*c**2 + 0 = 0. Calculate c.
0, 1
Suppose -3*g - 15 = 3*o, 2*o + 43294 = -g + 43292. Solve 16/5*f - 4/5*f**o + 16/5 + 0*f**2 - 1/5*f**4 = 0 for f.
-2, 2
Suppose -10*h + 256 = 22*h. Factor -10*g**3 + 208*g**2 - 105*g**2 - h*g**4 - 105*g**2.
-2*g**2*(g + 1)*(4*g + 1)
Find q such that 6*q**4 + 2/5*q**5 + 0*q**2 + 0 - 68/5*q**3 + 0*q = 0.
-17, 0, 2
Let l be -4*(11 + (-1330)/120). Let k(s) be the second derivative of -s - l*s**3 + 1/6*s**4 + 0 - 2*s**2. Let k(c) = 0. Calculate c.
-1, 2
Let q(k) be the first derivative of -7*k**6/6 + 9*k**5/4 + 5*k**4 - 10*k**3/3 + 18*k + 28. Let w(u) be the first derivative of q(u). Factor w(p).
-5*p*(p - 2)*(p + 1)*(7*p - 2)
Let v(f) be the third derivative of -1/30*f**7 - f**2 - 1/4*f**4 - 1/4*f**6 + 61 + 0*f**3 + 0*f - 29/60*f**5. Let v(z) = 0. Calculate z.
-3, -1, -2/7, 0
Let 4352*g**2 + 4284*g**2 - 4*g**5 - 8960*g - 19600 + 148*g**4 - 1649*g**3 - 203*g**3 + 0*g**5 = 0. Calculate g.
-1, 5, 14
Factor 126736/5 + 34532/5*a + 728/5*a**2 + 4/5*a**3.
4*(a + 4)*(a + 89)**2/5
Solve 84*g + 73 + 223*g**2 - 226*g**2 + 335 - 489*g = 0.
-136, 1
Factor -g**3 - 1/7*g**4 - 45/7*g + 57/7*g**2 - 108/7.
-(g - 3)**2*(g + 1)*(g + 12)/7
Let x(m) be the second derivative of -25/2*m**2 + 5/36*m**4 + 97*m - 2 + 35/9*m**3. Factor x(z).
5*(z - 1)*(z + 15)/3
Let w be (-4)/24 - (-501)/(-18). Let k = w - -32. Solve -2*n**5 - 39*n**4 - 43*n**4 + 78*n**k - 2*n**3 = 0.
-1, 0
Let t(n) be the third derivative of -n**7/840 - n**6/80 + n**5/4 - 17*n**4/12 + 4*n**3 + 26*n**2 - 9*n. Factor t(q).
-(q - 2)**3*(q + 12)/4
Let 0*j**2 - 4*j**2 - 9649*j + 1456*j + 7*j**2 - 939*j + 6949452 = 0. What is j?
1522
Suppose 242 - 78*v**2 + 111 - 771 + 528*v + 2*v**3 + 0*v**3 - 574 = 0. What is v?
4, 31
Let h(c) be the first derivative of -c**3/9 + 2756*c**2/3 - 7595536*c/3 - 7275. Suppose h(m) = 0. What is m?
2756
Let w = -608459/3 + 202824. Let -5/3*p**4 + 0 - 11/3*p**3 + p + w*p**2 = 0. Calculate p.
-3, -1/5, 0, 1
Let t be 3800/(-20) - (-6 + 3). Let r = t - -189. Factor 0 + 4/5*m + 2/5*m**r.
2*m*(m + 2)/5
Let w(u) = -u**2 - u - 1. Let t(q) = 3*q**2 - 245*q - 247. Let i(g) = t(g) + w(g). Factor i(j).
2*(j - 124)*(j + 1)
Let v(u) = -12*u**3 - 570*u**2 + 8589*u + 43808. Let d(i) = -116*i**3 - 5416*i**2 + 81596*i + 416176. Let f(k) = -5*d(k) + 48*v(k). Solve f(s) = 0.
-4, 37
Let a(f) be the first derivative of -2*f**3/15 - 11*f**2/5 + 204*f/5 - 76. Factor a(v).
-2*(v - 6)*(v + 17)/5
Solve -40/13*l + 0 + 16/13*l**4 - 16/13*l**2 - 2/13*l**5 + 42/13*l**3 = 0 for l.
-2, -1, 0, 1, 10
Let i(f) = -15*f**3 - 57*f**2 - 2424*f + 4761. Let w(u) = u**3 + 4*u**2 + 173*u - 340. Let s(x) = -2*i(x) - 29*w(x). Factor s(c).
(c - 13)*(c - 2)*(c + 13)
Let 20/11*j**2 - 10/11*j**3 - 2/11*j**4 + 40/11*j - 48/11 = 0. What is j?
-6, -2, 1, 2
Let m = -185 - -172. Let c(l) = -l**2 - 15*l - 16. Let k be c(m). Factor 15*y**2 + 5/2 + 10*y**3 + k*y + 5/2*y**4.
5*(y + 1)**4/2
Let c(u) be the first derivative of -18*u**5/5 + 44*u**4 + 238*u**3 + 260*u**2 + 4773. Solve c(t) = 0 for t.
-20/9, -1, 0, 13
Let n(x) = 4*x**3 - 644*x**2 - 23524*x + 197560. Let y(h) = 6*h**3 - 644*h**2 - 23525*h + 197558. Let t(q) = 5*n(q) - 4*y(q). Solve t(v) = 0.
-84, 7
Let h = 27 - 23. Factor 13*i**3 - 24*i + 5*i**2 + h - 4*i + 6*i**2.
(i - 1)*(i + 2)*(13*i - 2)
Suppose -1 + 5 = 2*h. Find m such that 102 + 4*m**5 - 12*m**4 - 5*m**h - 4*m**3 + 33*m**2 - 118 = 0.
-1, 1, 2
Let g(r) = -r**3 - 18*r**2 + 19*r + 4. Let l be g(-19). Let u be 6/(-1*(-12)/l). Factor 2 - 2*p**u + 4*p - 9*p + 3*p + 2*p**3.
2*(p - 1)**2*(p + 1)
Let m be (-3549)/(-1209) - (-4)/62. Let v(r) be the second derivative of 4*r**2 + 0 + 8*r - 12*r**m + 27/2*r**4. Factor v(z).
2