 -28*u. Suppose 14*m - 5*m**u - 12 + 1/2*m**3 = 0. What is m?
2, 6
Let x be 5 + -4 + (-618)/515 + (-13)/(-15). Let b(i) be the first derivative of -2/3*i + 18 + x*i**2 - 2/9*i**3. Solve b(u) = 0 for u.
1
Let m(y) = 28 + y - 22 - 26. Let j be m(24). Factor -5*v**3 + 4*v**5 + v**5 + 5*v**2 + 2*v**4 - 7*v**j.
5*v**2*(v - 1)**2*(v + 1)
Suppose -35*m**2 + 150*m - 790*m**3 + 386*m**3 + 220*m**2 - 10*m**4 + 429*m**3 = 0. Calculate m.
-5/2, -1, 0, 6
Let y(l) be the second derivative of 0*l**3 + 0*l**2 + 1/23*l**4 - 8/345*l**6 + 54*l + 13/230*l**5 + 1. Factor y(c).
-2*c**2*(c - 2)*(8*c + 3)/23
Let p(n) be the third derivative of 1/48*n**4 - 1/240*n**5 + 87 - n**2 + n**3 + 0*n. What is j in p(j) = 0?
-4, 6
Let x(c) be the third derivative of c**6/120 + 157*c**5/30 + 24649*c**4/24 + c**2 - 4340. Suppose x(w) = 0. Calculate w.
-157, 0
Let b be ((-280)/588 - 2/(-7))/(157/(-4396)). Find m such that 46/3*m + 2 - b*m**2 = 0.
-1/8, 3
Let v be (-19)/1 + 51543/2691. Factor -36/13*w + 162/13 + v*w**2.
2*(w - 9)**2/13
Factor 38*a + 4332/7 + 2/7*a**3 - 64/7*a**2.
2*(a - 19)**2*(a + 6)/7
Let y be -1*10/25 + (-27030)/(-7950). Factor -180/11*w - 20/11*w**y - 118/11*w**2 - 81/11 - 1/11*w**4.
-(w + 1)**2*(w + 9)**2/11
Let b(f) = 6*f**3 + 291*f**2 + 2136*f + 3597. Let o(l) = -5*l**3 - 301*l**2 - 2136*l - 3598. Let x(m) = -2*b(m) - 3*o(m). Factor x(r).
3*(r + 3)*(r + 4)*(r + 100)
Let b(o) = 2*o**2 - o. Suppose 4*v + 13 = 5*d - 2*d, 0 = 4*v - 4*d + 12. Let j(p) = 9*p**2 + 6*p + 25. Let c(f) = v*b(f) + j(f). Let c(l) = 0. What is l?
-5
Let i(h) = -h**4 - h**3 + h**2 + h - 2. Let f(t) = -7*t**4 - 1573*t**3 + 307331*t**2 - 609951*t + 304182. Let k(y) = 2*f(y) - 18*i(y). Factor k(a).
4*(a - 390)**2*(a - 1)**2
Let l(o) be the third derivative of -o**8/1008 - 13*o**7/630 - 29*o**6/180 - 3*o**5/5 - o**4 + o**2 + 1176*o. Determine w so that l(w) = 0.
-6, -3, -2, 0
Let d(a) be the second derivative of 3*a**5/5 - 533*a**4/4 - 403*a**3/2 + 201*a**2 - 704*a + 1. Find c, given that d(c) = 0.
-1, 1/4, 134
Let j(o) be the second derivative of -1/2*o**5 + 0*o**3 - 1/21*o**7 - 1 - 18*o + 0*o**4 + 2/5*o**6 + 0*o**2. Let j(f) = 0. Calculate f.
0, 1, 5
Let y(v) be the first derivative of 7/5*v**2 + 47 + 2/15*v**3 + 12/5*v. Factor y(o).
2*(o + 1)*(o + 6)/5
Factor -294910/13*t - 1538/13*t**2 + 296450/13 - 2/13*t**3.
-2*(t - 1)*(t + 385)**2/13
Let c(q) be the second derivative of q**8/67200 - q**7/8400 - q**6/450 - q**5/100 - 35*q**4/6 + q - 7. Let m(t) be the third derivative of c(t). Factor m(w).
(w - 6)*(w + 1)*(w + 2)/10
Let b(g) be the first derivative of 1/15*g**6 - 4/15*g**3 - 22 - 8/5*g**4 + 3*g**2 + 16/5*g - 12/25*g**5. Factor b(h).
2*(h - 8)*(h - 1)*(h + 1)**3/5
Let k(q) be the third derivative of 7/48*q**4 + 0*q**3 - 7/240*q**6 - 1/120*q**5 + 0 + 1/420*q**7 - 111*q**2 + 0*q. Suppose k(t) = 0. Calculate t.
-1, 0, 1, 7
Let p(x) = x**3 + 119*x**2 + 715*x - 838. Let o(g) = -3*g**3 - g**2 - g + 2. Let m(z) = o(z) - p(z). Factor m(v).
-4*(v - 1)*(v + 10)*(v + 21)
Let i = 2845 - 2843. Let f(h) be the first derivative of 0*h**3 - 7 - 1/8*h**4 + 0*h**i + 0*h. Factor f(v).
-v**3/2
Let m(z) = z. Let j(s) = -s**3 - 20*s**2 - s + 21. Let q(l) = -j(l) - 3*m(l). Let k be q(-20). Factor k*t + 0*t**2 + 16*t + 3*t**2 - 14*t.
3*t*(t + 7)
Let r(l) be the third derivative of l**5/690 - 7*l**4/69 + 57*l**3/23 + 5*l**2 + 3*l. Factor r(k).
2*(k - 19)*(k - 9)/23
Suppose 4*p = -16*c + 23 + 73, -3*c = -2*p + 15. Let i = -118 + 1536/13. Factor -2/13*u**c - 6/13*u + i + 6/13*u**2.
-2*(u - 1)**3/13
Let m(j) be the second derivative of -5/3*j**3 - 6*j**2 - 1/6*j**4 + 0 - 109*j. Find z, given that m(z) = 0.
-3, -2
Suppose -39*c = 33*c - 79*c + 35. Factor 0*a + 1/4*a**c + 2*a**3 - 5/4*a**4 + 0 - a**2.
a**2*(a - 2)**2*(a - 1)/4
Let q(x) = -8*x**2 - 320*x - 181. Let v(i) = 3*i**2 + 160*i + 93. Let b(s) = -3*q(s) - 7*v(s). Factor b(g).
(g - 54)*(3*g + 2)
Let d(h) be the first derivative of h**6/6 + 4*h**5/5 - 3*h**4 + 2*h**3/3 + 11*h**2/2 - 6*h + 2884. Factor d(s).
(s - 1)**3*(s + 1)*(s + 6)
Let y = 16036 - 16030. Let o(q) be the second derivative of 1/12*q**4 + 1/150*q**y + 1/15*q**3 + 0*q**2 + 0 + 1/25*q**5 - 19*q. Factor o(d).
d*(d + 1)**2*(d + 2)/5
Let p(b) be the second derivative of -b**7/420 + b**6/720 - 109*b**4/12 + 67*b + 2. Let t(d) be the third derivative of p(d). Determine i, given that t(i) = 0.
0, 1/6
Let d = 4/584667 + 389758/2923335. Factor 26/15*j + d*j**2 - 4.
2*(j - 2)*(j + 15)/15
Let o(s) be the third derivative of s**6/1140 + 13*s**5/190 + 30*s**4/19 - 400*s**3/57 + 416*s**2. Factor o(q).
2*(q - 1)*(q + 20)**2/19
Let r(o) = o**2 + 19*o + 4. Let p be 1*(2 + -59)*(-7)/(-21). Let j be r(p). Let 177*v**4 - 180*v**j + v**2 - v**5 + v**3 + 2*v**2 = 0. Calculate v.
-3, -1, 0, 1
Let l be ((-3129)/210 - -15) + 4*1/10. Let p(d) be the first derivative of 0*d - 1/6*d**3 - 1/8*d**4 + 28 + l*d**2. Factor p(a).
-a*(a - 1)*(a + 2)/2
Factor 276/5*q + 4/5*q**3 - 146/5*q**2 + 1/5*q**4 - 27.
(q - 9)*(q - 1)**2*(q + 15)/5
Let d(u) be the third derivative of u**5/210 - 31*u**4/84 - 34*u**3/7 - 881*u**2. Factor d(i).
2*(i - 34)*(i + 3)/7
Let r be -72 + 77 - 9/(-6)*-4. Let f be ((-8)/(16/(-14)))/(1 - r). Factor -2 + f*a**2 - a**3 + 5/2*a.
-(a - 4)*(a + 1)*(2*a - 1)/2
Let g be ((-1350)/(-100))/(-1 - (-147)/144). Suppose 15*m - g = -39*m. Factor -3/4*b**3 + 27/4*b**2 + m - 18*b.
-3*(b - 4)**2*(b - 1)/4
Let d be 120/6 + 3/((-135)/846). Solve -d*z**2 - 3/5*z**4 + 12/5*z**3 - 12/5*z + 9/5 = 0.
-1, 1, 3
Let u = 501318 - 5514428/11. Factor -u - 2/11*w**2 - 24/11*w.
-2*(w + 5)*(w + 7)/11
Let k(z) be the first derivative of -z**6/21 - 8*z**5 + 127*z**4 - 13864*z**3/21 + 9095*z**2/7 - 7600*z/7 + 6236. Let k(g) = 0. Calculate g.
-152, 1, 5
Let i(v) be the third derivative of -v**6/1080 + v**5/24 + 2*v**4/9 - 61*v**3/6 - 12*v**2. Let a(s) be the first derivative of i(s). Factor a(n).
-(n - 16)*(n + 1)/3
Determine o, given that 484/15 + 22/5*o + 8/15*o**3 - 24/5*o**2 = 0.
-2, 11/2
Let l(r) = -4*r**4 + 12*r**3 + 16*r**2 - 24*r. Let i(j) = j**5 + 17*j**4 - 48*j**3 - 64*j**2 + 94*j. Let y(n) = 4*i(n) + 15*l(n). Find f such that y(f) = 0.
-2, 0, 1
Let x(s) = s**3 - 518*s**2 + 1051*s - 504. Let i(t) = -3*t**3 + 519*t**2 - 1053*t + 497. Let c(l) = 3*i(l) + 4*x(l). Factor c(r).
-5*(r - 1)**2*(r + 105)
Let -3*o**3 - 3/2*o + 0*o**4 + 0 + 4*o**2 + 1/2*o**5 = 0. What is o?
-3, 0, 1
Let q(l) be the first derivative of -4*l**5/15 + 5*l**4/24 + 7*l**3/9 - 11*l**2/12 + 1755. Determine v so that q(v) = 0.
-11/8, 0, 1
Factor -a**4 + 263*a**2 - 14*a - 118*a - 1322*a**3 + 1192*a**3 + 0*a**4.
-a*(a - 1)**2*(a + 132)
Find h, given that 0 + 48*h - 148/5*h**2 - 2/5*h**4 + 6*h**3 = 0.
0, 4, 5, 6
Let w(r) be the first derivative of -3*r**5/5 + 48*r**4 - 245*r**3 + 453*r**2 - 360*r + 5880. Find u, given that w(u) = 0.
1, 2, 60
Let i(v) be the second derivative of -v**7/336 + 3*v**6/80 - 3*v**5/32 - 29*v**4/96 + 3*v**3/2 - 9*v**2/4 + 2*v - 302. Let i(d) = 0. Calculate d.
-2, 1, 3, 6
Let c(d) be the second derivative of -7/15*d**3 - 1/6*d**4 + 6/5*d**2 - 1/75*d**6 + 3*d + 2 + 7/50*d**5. Determine v, given that c(v) = 0.
-1, 1, 6
Suppose 10*q = d + 6*q - 53, -3*q = 0. Let -2*w**2 - d + 78 - 26*w - 49 = 0. What is w?
-12, -1
Let b = -7262 + 7262. Let v(f) be the third derivative of 1/8*f**3 + 3/80*f**5 + 0 - 24*f**2 + 1/160*f**6 + 3/32*f**4 + b*f. Factor v(g).
3*(g + 1)**3/4
Let h(p) be the second derivative of 1/18*p**3 + 22*p - 1/180*p**5 - 1/9*p**2 + 0*p**4 + 0. Factor h(a).
-(a - 1)**2*(a + 2)/9
Suppose 0 = -12*h + 14*h + 30. Let t(w) = -w**2 + 6*w - 1. Let d(r) = -1 + 5*r**2 - 10*r - 15*r + 6. Let x(c) = h*t(c) - 4*d(c). Let x(b) = 0. What is b?
1
Let s be ((0 - 0) + 45/(-6))*(-126)/189. Let f(y) be the first derivative of 4/5*y**s + 3/4*y**4 - 4/3*y**3 + 0*y - 2*y**2 + 1/6*y**6 - 6. Factor f(q).
q*(q - 1)*(q + 1)*(q + 2)**2
Let 532*a**4 + 0 - 1213/2*a**3 + 381/2*a**2 - 18*a - 98*a**5 = 0. Calculate a.
0, 3/14, 1, 4
Factor 0*n - 1/6*n**3 - 2/3*n**2 + 0.
-n**2*(n + 4)/6
Suppose -17*f + 1729 + 8862 = 0. Let l = f + -619. Find t such that 2/5*t**5 + 0 + 0*t + 0*t**l + 0*t**2 - 2/5*t**3 = 0.
-1, 0, 1
Let o(d) be the third derivative of -d**5/20 - 140*d**4 - 156800*d**3 - 83*d**2 - 13*d. Factor o(w).
-3*(w + 560)**2
Let z(t) = -6*t + 8. Let s be z(-3). Let q