38*g - 2974*g - 18*g**2 - 15026 - 1301980 + 197998 + 536*g = 0. What is g?
-748/3
Suppose -a = -97 + 81. Let -8*l**2 + 10*l**3 - 6*l**2 - 6*l**3 - a - 10*l**2 + 36*l = 0. What is l?
1, 4
Let h(j) be the first derivative of -529*j**3 + 46*j**2 - 4*j/3 - 751. Factor h(n).
-(69*n - 2)**2/3
Let n(c) be the third derivative of -3*c**7/70 + 29*c**6/40 + 47*c**5/4 + 75*c**4/8 - c**2 - 4*c - 15. Suppose n(o) = 0. What is o?
-5, -1/3, 0, 15
Let z(f) be the third derivative of -f**6/360 + 427*f**5/180 + f**4/72 - 427*f**3/18 - f**2 - f + 556. Factor z(m).
-(m - 427)*(m - 1)*(m + 1)/3
Let i(f) be the third derivative of 75*f**6/8 - 35*f**5 + 245*f**4/6 + 321*f**2 - 1. Determine l so that i(l) = 0.
0, 14/15
Let x = 35/397 - -256428/13895. Let r = x + -57/7. Factor 48/5*k**2 + r*k + 4/5.
4*(k + 1)*(12*k + 1)/5
Let i be (130/24 - 5)*(-72)/(-135). Let f(c) be the first derivative of -i*c**3 + 2*c + 22 + 2/3*c**2. Find x, given that f(x) = 0.
-1, 3
Let r(n) be the third derivative of -n**5/160 - 1691*n**4/64 - n**2 - 41*n - 17. Factor r(u).
-3*u*(u + 1691)/8
Let w(d) = d + 34. Let s = 2 - 22. Let n be w(s). Suppose 5*v**3 - 9*v**4 - 3*v**2 - 7*v**2 + n*v**4 = 0. Calculate v.
-2, 0, 1
Let v be -5 + ((-104)/4)/(-2). Suppose -v*u - 1908 = -4812. Factor -1 - 373*z + u*z + 1 - z**2.
-z*(z + 10)
Find m, given that -28/9*m**2 + 0*m + 0 - 40/3*m**4 + 38/3*m**3 + 8/9*m**5 = 0.
0, 1/2, 14
Let q(t) be the second derivative of -t**7/2240 + t**6/160 + 15*t**3/2 + 2*t - 12. Let b(w) be the second derivative of q(w). Suppose b(i) = 0. Calculate i.
0, 6
Suppose -282 - 181 = -177*t + 68. Let r(s) be the second derivative of 0*s**2 - 3/100*s**5 + 0 + 0*s**t - 1/10*s**4 - 32*s. Factor r(z).
-3*z**2*(z + 2)/5
Suppose -13*f - 79 = 25. Let a be ((-6)/f*1)/((-12)/(-48)). Suppose 6*r**2 + 0*r**2 + 7*r**4 - a*r**2 - 10*r**4 = 0. What is r?
-1, 0, 1
Let n(u) be the third derivative of u**5/150 + 11*u**4/20 + 62*u**3/15 - 1126*u**2. Factor n(o).
2*(o + 2)*(o + 31)/5
Let c(h) be the third derivative of 0 - 1/60*h**5 + 55*h**2 - 1/120*h**6 + 0*h**3 + 0*h**4 + 0*h. Factor c(j).
-j**2*(j + 1)
Let t(b) be the first derivative of -1/6*b**3 + 148 - b**2 - 3/2*b. Factor t(r).
-(r + 1)*(r + 3)/2
Let x(t) be the first derivative of -t**3 + 827*t**2/2 + 276*t - 868. Find h, given that x(h) = 0.
-1/3, 276
Suppose -117/11*u**3 - 3364/11*u + 1/11*u**4 + 3480/11*u**2 + 0 = 0. Calculate u.
0, 1, 58
Let d = 17000246/5843827 - 2/531257. Determine h, given that -128/11*h - 2/11*h**3 + 0 - d*h**2 = 0.
-8, 0
Factor -924/5*a**2 + 7448/5*a + 10*a**3 - 1/5*a**4 - 21952/5.
-(a - 14)**3*(a - 8)/5
Let q be 75*(-6 + 5) + (-15)/(-5). Let j = 217/3 + q. Factor -5/3*a + j*a**2 + 2.
(a - 3)*(a - 2)/3
Let o(y) = -64*y**3 + 324*y**2 - 216*y - 144. Let j(s) = 7*s**3 - 36*s**2 + 24*s + 16. Let x = -85 - -79. Let g(v) = x*o(v) - 52*j(v). Solve g(z) = 0 for z.
-2/5, 2
Let x(v) be the third derivative of -1/560*v**7 + 66*v**2 + 0 + 0*v**3 + 1/160*v**5 + 0*v - 1/96*v**4 + 1/960*v**6 + 1/2688*v**8. Suppose x(p) = 0. Calculate p.
-1, 0, 1, 2
Let z be -3 + (-7)/(14/(-6)). Suppose -2*j + 5 = h, -4*h = j - z*j - 13. Factor 7*a**2 + 12*a**2 + 20*a - 6*a**4 + 12*a**h - 2*a**5 + 18 + a**2 - 62*a.
-2*(a - 1)**3*(a + 3)**2
Suppose -182*a**2 + 373*a**2 + 127*a - 192*a**2 - 22*a = 0. Calculate a.
0, 105
Suppose c - 2*t - 38 = -4*c, 3*c + t - 14 = 0. Suppose -7*s + c*s = -2. Factor 2*g**2 - 4*g - 6*g**s + 9*g**3 + 4*g**4 - 5*g**3.
4*g*(g - 1)*(g + 1)**2
Let s(m) be the third derivative of 0*m**3 + 1/168*m**8 + 1/15*m**6 + m + 1/5*m**5 - 2/35*m**7 - 8*m**2 + 0 - 5/12*m**4. Factor s(o).
2*o*(o - 5)*(o - 1)**2*(o + 1)
Let m(t) = -t**2 + 12*t - 34. Let j be m(8). Let o be (7 - 4)*4/(-8)*j. Determine z, given that -3*z**4 - 18*z**2 - 77*z**3 + 95*z**o + 3*z**2 = 0.
0, 1, 5
Factor 165*o + 164*o + 171*o - 70 - o**3 - 499*o + 258 - 188*o**2.
-(o - 1)*(o + 1)*(o + 188)
Let v be 6/4*(-166)/498 - 8/(-12). Factor -5/6*i - 2/3 - v*i**2.
-(i + 1)*(i + 4)/6
Let y be (-3)/1170*34 + (-94)/(-611). Let v(s) be the third derivative of -1/60*s**4 + 0 - 11*s**2 + 0*s + 1/150*s**5 - y*s**3 + 1/300*s**6. Factor v(m).
2*(m - 1)*(m + 1)**2/5
Suppose -3*d + 3 = 4*o, -8*d - 9 = -2*o - 7*d. Let q(k) be the first derivative of 17 + 0*k - 3/4*k**4 - 3*k**2 + o*k**3. Suppose q(y) = 0. Calculate y.
0, 1, 2
Let j(m) = -10 + 4*m + 8 + 0*m - m. Let r be j(2). Factor 4*u**5 - 71*u + 44*u + 35*u + 4*u**2 - 2*u**3 - 4*u**r - 10*u**3.
4*u*(u - 2)*(u - 1)*(u + 1)**2
Let a(j) be the third derivative of 8*j**7/105 + 7*j**6/10 + 7*j**5/5 + 2*j**4/3 - 16*j**2 - 45. Suppose a(i) = 0. What is i?
-4, -1, -1/4, 0
Factor 46/3*w - 20*w**2 + 2/3*w**3 + 116.
2*(w - 29)*(w - 3)*(w + 2)/3
Let v(q) be the first derivative of q**4/2 + 236*q**3/3 + 233*q**2 + 232*q + 2000. Factor v(p).
2*(p + 1)**2*(p + 116)
Let n(q) be the second derivative of 4*q**7/21 - 199*q**6/15 + 2823*q**5/10 - 8723*q**4/6 + 9269*q**3/3 - 3174*q**2 + 1693*q. Let n(i) = 0. Calculate i.
3/4, 1, 2, 23
Let t(y) be the third derivative of y**8/67200 - 23*y**7/25200 - y**4/12 - y**3 - 21*y**2 + 1. Let z(d) be the second derivative of t(d). What is w in z(w) = 0?
0, 23
Solve 20*j**5 - 372*j**4 - 184*j**3 + 164*j - 196 + 76 - 108 + 600*j**2 = 0.
-1, 3/5, 1, 19
Let q(m) be the second derivative of -3*m**5/40 + 91*m**4/8 - 45*m**3/2 + 7068*m. Solve q(u) = 0 for u.
0, 1, 90
Let g = -66 + 69. Factor -960*s - 1237*s**3 - 2*s**4 + 607*s**g - 639*s**2 - 450 + 67*s**2 + 566*s**3.
-2*(s + 1)**2*(s + 15)**2
Let o(x) = -8*x**3 - 1245*x**2 - 552130*x - 78953582. Let c(r) = -r**3 + 6*r**2 - r + 1. Let f(a) = -21*c(a) + 3*o(a). Factor f(l).
-3*(l + 429)**3
Suppose -36 + 14 = -2*p + 4*s, 5*p - 2*s = 15. Let j be 53 - (1*(-1)/p - 0). Determine t, given that j*t + 4*t**4 + 25*t**2 - 20*t**3 + t**4 - 64*t = 0.
0, 1, 2
Let p be (-14)/245 - 5/(-14). Let y(x) be the second derivative of 0 + p*x**2 - 16*x - 1/100*x**5 + 1/12*x**4 - 7/30*x**3. Factor y(b).
-(b - 3)*(b - 1)**2/5
Let i = -76 - -68. Let k be (-28)/(-15) - (-7)/((-420)/i). Factor -7*w**2 + 2*w - 7*w**k + 13*w**2 - w**2.
-2*w*(w - 1)
Let d(f) = -41*f**2 + 1. Let l(u) = 247*u**2 + 806*u + 162403. Let r(x) = 30*d(x) + 5*l(x). Determine b, given that r(b) = 0.
-403
Factor 612*t**4 + 29*t**2 - 20*t - 1235*t**4 + 624*t**4 - 10*t**3.
t*(t - 5)*(t - 4)*(t - 1)
Determine t, given that 18/5*t**4 + 22201/5*t + 0 + 25777/10*t**2 + 186*t**3 = 0.
-149/6, -2, 0
Let d(g) be the third derivative of g**6/150 + 3*g**5/5 + 88*g**4/5 + 968*g**3/15 + 50*g**2. Determine f, given that d(f) = 0.
-22, -1
Let j = -176 - -184. Let n be (j/(-2))/(((-48)/(-9))/(-4)). Factor 16/3*u + 4/3*u**n + 1 + 17/3*u**2.
(u + 1)*(u + 3)*(4*u + 1)/3
Let b(w) = -2*w**3 + 3*w**2 + 31*w + 34. Let s be b(-2). Factor -3/4*m**5 - 21/4*m**3 + s*m + 0 + 9/4*m**2 + 15/4*m**4.
-3*m**2*(m - 3)*(m - 1)**2/4
Let k(y) be the first derivative of 2*y**3/3 + 77*y**2 + 444*y + 333. Find q such that k(q) = 0.
-74, -3
Let k be (4 - 15 - -7)*-1. Find u, given that 3068*u - 40*u**k - 80*u**2 - 5*u**5 - 1545*u - 1548*u + 17*u**3 - 107*u**3 = 0.
-5, -1, 0
Let y = 47 + -31. Factor 6*f**4 + y + 16*f + 36*f**2 + 24*f + 14*f**3 - 4*f**4.
2*(f + 1)*(f + 2)**3
Determine c, given that -752/15*c - 23812/5*c**2 - 140624/15*c**3 - 2/15 - 69938/15*c**4 = 0.
-1, -1/187
Let i = -248436 - -248448. Factor -24 + i*x + 20/3*x**2.
4*(x + 3)*(5*x - 6)/3
Suppose -6202*f**3 - 1205*f**4 + 371*f - 1511*f - 15*f**5 - 1812*f**2 - 4566*f**2 + 1423*f**2 + 1197*f**3 = 0. Calculate f.
-76, -3, -1, -1/3, 0
Suppose -2*n + 119 = -2*p + p, -n + 64 = p. Factor 63*c - 2*c**3 + 4*c**3 - 4*c**2 + 0*c**3 - n*c.
2*c*(c - 1)**2
What is m in -11006/13*m**3 + 2/13*m**4 + 20192340/13*m**2 + 12337523408/13 - 12357704744/13*m = 0?
1, 1834
Solve g**2 - 178 + 63*g + 7 + 3 - 243 - 237 = 0 for g.
-72, 9
Suppose 10553*u = 10564*u - 154. Let m(o) be the first derivative of 3/2*o + 5/6*o**3 - u + 1/8*o**4 + 7/4*o**2. Let m(i) = 0. What is i?
-3, -1
Let a(y) be the first derivative of 1/3*y**6 + 4/3*y**3 + 0*y + 5 + 5/2*y**4 + 0*y**2 + 8/5*y**5. Let a(v) = 0. What is v?
-2, -1, 0
Let v(k) be the first derivative of 4*k**5/5 + 8*k**4 - 148*k**3/3 - 88*k**2 - 3647. Suppose v(o) = 0. What is o?
-11, -1, 0, 4
Factor 1328/3*d - 1856 - 1/3*d**3 - 71/3*d**2.
-(d - 8)**2*(d + 87)/3
Suppose 89 = 14*w + 47. What