- 132*l + 19*l**3 + 5*l**3 - 40 = 0. Calculate l.
-2, -1/3, 5
Let t be 89/1691*(-57)/(-6). Factor 0*w**2 - t*w**3 + 0*w + 0.
-w**3/2
Let m(q) be the first derivative of q**6/6 - 13*q**5/15 - q**4 - 7*q**2/2 - 3. Let x(r) be the second derivative of m(r). Suppose x(i) = 0. Calculate i.
-2/5, 0, 3
Let k(x) be the third derivative of x**7/840 + x**6/80 + x**5/20 + x**4/8 - 26*x**2. Let o(z) be the second derivative of k(z). Factor o(f).
3*(f + 1)*(f + 2)
Let b(g) be the third derivative of g**7/21 + 7*g**6/24 + g**5/2 - 5*g**4/24 - 5*g**3/3 - 156*g**2. Find l such that b(l) = 0.
-2, -1, 1/2
Let t be ((-9)/2)/((-21)/42). Let w be (36/40)/(t/15). Factor w*z + 1/2*z**2 + 1.
(z + 1)*(z + 2)/2
Let q(z) be the second derivative of z**6/30 - 4*z**5/15 + 2*z**4/3 - 3*z**2 + 10*z. Let m(j) be the first derivative of q(j). Factor m(i).
4*i*(i - 2)**2
Let d(n) be the first derivative of n**4/14 + 148*n**3/21 + 1440*n**2/7 + 5184*n/7 - 41. Determine s so that d(s) = 0.
-36, -2
Let o(f) = f**2 - 6*f + 7. Let p be o(5). Suppose -1 + 2 - 8*t**2 + 4*t**4 + p + 1 = 0. Calculate t.
-1, 1
Determine q, given that 0*q**2 - 1/3*q**4 - 2/3*q**3 + 1/3*q**5 + 0*q + 0 = 0.
-1, 0, 2
Suppose 4*b - 9 + 1 = 0. What is h in 7*h**2 + 5*h**2 + 8*h**3 + b*h - 16 - 4*h - 14*h - 4*h**4 = 0?
-1, 2
Let b(o) be the first derivative of -o**4/9 + 4*o**3/9 + 385. Factor b(k).
-4*k**2*(k - 3)/9
Let c be 68/70 + 36/360 + -1. Let u(p) be the second derivative of 1/21*p**3 - p - c*p**2 - 1/84*p**4 + 0. Factor u(g).
-(g - 1)**2/7
Let l(u) be the second derivative of 1/5*u**2 - 2/45*u**3 + 0 + u - 1/90*u**4. Let l(b) = 0. What is b?
-3, 1
Let v be 5*1 - (13 + -11). Suppose -2*m = v - 11. Factor 0 + 1/2*s**2 - 1/2*s**3 + 1/2*s - 1/2*s**m.
-s*(s - 1)*(s + 1)**2/2
Solve -2/15*j**2 + 28/15 - 2/3*j = 0.
-7, 2
Let k(z) be the third derivative of 1/24*z**4 + 9*z**2 - 1/120*z**6 + 1/210*z**7 + 0*z**3 + 0 + 0*z - 1/60*z**5. Factor k(f).
f*(f - 1)**2*(f + 1)
Let w(y) = 13*y**2 + y + 11. Let j(i) = -5*i**2 - 6. Let u(b) = 15*j(b) + 6*w(b). Find h such that u(h) = 0.
-4, 2
Let z(h) be the second derivative of -11*h**6/195 + h**5/65 + 11*h**4/78 - 2*h**3/39 - 16*h - 2. Suppose z(p) = 0. What is p?
-1, 0, 2/11, 1
Let f(u) be the third derivative of 1/72*u**4 + 1/1080*u**6 + 1/180*u**5 - 1/6*u**3 - u**2 + 0*u + 0. Let d(y) be the first derivative of f(y). Factor d(p).
(p + 1)**2/3
Let v(y) be the third derivative of y**6/200 + y**5/20 + y**4/5 + 2*y**3/5 - 12*y**2 - y. Determine o so that v(o) = 0.
-2, -1
Let q(k) be the first derivative of -k**6/60 + k**5/15 + k**4/4 + 3*k**2/2 - 17. Let c(b) be the second derivative of q(b). Factor c(y).
-2*y*(y - 3)*(y + 1)
Suppose 74 = 6*g + 20. Let p be g/2 - (11 - 7). Factor -p*w**2 + 0 - 3/2*w**4 + 1/2*w - 5/2*w**3.
-w*(w + 1)**2*(3*w - 1)/2
Let p be (-9)/15*(-40)/168. Factor 1/7 + 0*r - p*r**2.
-(r - 1)*(r + 1)/7
Let b = 1277/2457 - 11/189. Let 4/13*n**2 + b*n - 6/13*n**4 - 2/13*n**5 + 2/13 - 4/13*n**3 = 0. What is n?
-1, 1
Suppose -2*t + 16 = -4*o, -o = -4*t + 3*o + 36. Find k such that -5*k**4 - 5*k**3 - 113 + t*k**2 + 0*k**4 + 113 = 0.
-2, 0, 1
Let m(k) = -2*k**3 - 40*k**2 - 104*k - 32. Let s be m(-17). Suppose 2/9*p**s + 0*p - 8/9 = 0. Calculate p.
-2, 2
Let f(h) be the second derivative of 205*h**4/12 - 110*h**3/3 + 15*h**2/2 - 2*h - 89. Solve f(p) = 0 for p.
3/41, 1
Let u(i) be the second derivative of -i**5/5 - i**4/3 + 4*i**3/3 - i - 42. Factor u(w).
-4*w*(w - 1)*(w + 2)
Let i(a) = -6*a + 4. Let j(y) = 3*y - 1. Let x be j(2). Let s(h) = h**2 + 13*h - 9. Let k(c) = x*i(c) + 2*s(c). Let k(n) = 0. What is n?
1
Suppose 8*g - 684 = 5*g - 5*q, 2*q + 938 = 4*g. Factor -6*m - 12 - 4*m + g*m**2 - 235*m**2.
-2*(m + 2)*(m + 3)
Let s(n) = 373*n**2 + 1174*n + 48. Let u(a) = -93*a**2 - 292*a - 12. Let t(l) = 6*s(l) + 26*u(l). Suppose t(f) = 0. What is f?
-3, -2/45
Let a = -2 + 5. Let b = 22 + a. Find d, given that 2*d + d**4 - 72*d**2 + 66*d**3 + b*d + 3*d**5 - 25*d**4 = 0.
0, 1, 3
Factor -256/3 - 1/3*h**4 - 32*h**2 - 16/3*h**3 - 256/3*h.
-(h + 4)**4/3
Let b be (-60)/32*(11 + (-835)/75). Suppose -b*f**2 + 0 - 1/4*f**4 + 0*f + 1/2*f**3 = 0. Calculate f.
0, 1
Let p(j) be the first derivative of j**7/1365 - j**5/195 + j**3/39 + 35*j**2/2 + 29. Let u(y) be the second derivative of p(y). Factor u(t).
2*(t - 1)**2*(t + 1)**2/13
Factor 0*c**3 + c**3 + 3*c**3 - 8*c**2 - 130*c**4 + 134*c**4.
4*c**2*(c - 1)*(c + 2)
Let n(m) be the third derivative of m**6/480 - 7*m**4/96 - m**3/4 + 49*m**2. Factor n(d).
(d - 3)*(d + 1)*(d + 2)/4
Let w(m) = 2*m - 10. Let v be w(6). Factor 4*f**v - 25 - 10*f + 6*f + 1.
4*(f - 3)*(f + 2)
Suppose 0 = 5*r + p - 6, 5*p = 4*r - 2*r - 24. Let y be r/(-2) - 90/(-70). Factor 0*d**2 + 0 - 10/7*d**4 - y*d**3 + 0*d - 8/7*d**5.
-2*d**3*(d + 1)*(4*d + 1)/7
Let i(q) = q**4 + 55*q**3 - 56*q**2 + 6*q. Let r(x) = -2*x**4 - 165*x**3 + 167*x**2 - 17*x. Let b(o) = 17*i(o) + 6*r(o). Factor b(h).
5*h**2*(h - 10)*(h - 1)
Let t = -195 - -199. Let v(s) be the first derivative of 4 + 0*s**2 + 1/10*s**t + 4/15*s**3 + 0*s. Factor v(u).
2*u**2*(u + 2)/5
Let b(a) be the first derivative of -4/7*a**2 - 2/7*a - 2/35*a**5 - 4/7*a**3 - 2/7*a**4 + 15. Suppose b(r) = 0. What is r?
-1
Let -4*i**3 - 395*i**2 - 408*i**2 + 251*i**2 - 389344 - 25392*i = 0. Calculate i.
-46
Let z(u) be the second derivative of -u**7/42 - u**6/10 + u**5/20 + 7*u**4/12 - 2*u**2 + 146*u. Factor z(k).
-(k - 1)**2*(k + 1)*(k + 2)**2
Solve -4*b + 1/2 - 9/2*b**2 = 0.
-1, 1/9
Suppose 0 = -3*j + 3*z + 21, -5*j + 0*z = z - 11. Let u(q) be the third derivative of 1/60*q**6 + 0 - 4*q**2 + 0*q**5 + 0*q**j + 0*q - 1/12*q**4. Factor u(b).
2*b*(b - 1)*(b + 1)
Let a be (0/(-4))/(6/2). Suppose a = 11*x - 10*x - 25. Factor -4*r - 1 + x*r**3 + 6*r + 3*r - 35*r**2 + 6*r.
(r - 1)*(5*r - 1)**2
Let a = -7851/5 - -1571. Solve -2/5*x**2 - 4/5*x + 2/5*x**4 + a*x**3 + 0 = 0.
-2, -1, 0, 1
Let w be (((-48)/4)/(-3))/1. Suppose 0*z + w*z = 16. Find d such that 5*d**3 + d**3 - d**z + 35*d**2 - 2*d**4 - 38*d**2 = 0.
0, 1
Suppose 0*t + 13 = 3*t + 2*b, -b + 2 = 0. Let y be (5 - (-40)/(-12))*t. Factor 0 + 0*k - 4/7*k**3 - 4/7*k**2 + 4/7*k**4 + 4/7*k**y.
4*k**2*(k - 1)*(k + 1)**2/7
Suppose -8 = -2*c - 2*c. Factor 7*v + 427*v**2 - 63*v - 423*v**c.
4*v*(v - 14)
Let g = 133 - 131. Let 2*t**2 - 169 - 73 - g*t**2 - 44*t - 2*t**2 = 0. Calculate t.
-11
Let t = -3667 - -3669. Factor 10/3*s + 0 - 2/3*s**t.
-2*s*(s - 5)/3
Suppose -203 = 24*g - 275. Factor -3/5*n**2 - 2/5*n + 1/5*n**5 + 3/5*n**4 + 1/5*n**g + 0.
n*(n - 1)*(n + 1)**2*(n + 2)/5
Let o(f) be the first derivative of -f**4/7 - 4*f**3/21 + 2*f**2/7 + 4*f/7 + 3. Factor o(n).
-4*(n - 1)*(n + 1)**2/7
Let c(m) be the first derivative of -m**4/8 + 19*m**3/12 - m**2 - 9*m/4 - 47. Factor c(g).
-(g - 9)*(g - 1)*(2*g + 1)/4
Suppose -4*c = -18*c + 56. Factor -2/5*x + 0 + 0*x**2 + 4/5*x**3 + 0*x**c - 2/5*x**5.
-2*x*(x - 1)**2*(x + 1)**2/5
Let s be ((-9)/(-15))/((-2)/10). Let d = s + 6. Factor -1 + 20*p**4 + 4*p - 22*p**4 - 4*p**d + 3.
-2*(p - 1)*(p + 1)**3
Let g(d) be the second derivative of -d**4/54 + 280*d**3/27 - 19600*d**2/9 + 196*d. Factor g(x).
-2*(x - 140)**2/9
Let i(q) be the first derivative of -5*q**4/12 + 5*q**3/3 + 9*q - 41. Let p(m) be the first derivative of i(m). Factor p(z).
-5*z*(z - 2)
Let j(n) = -9*n + 13. Let t(r) = 5*r - 6. Let c(h) = 6*j(h) + 11*t(h). Let w be c(-10). Factor -z**w + 4*z**2 - 4*z + 4*z**2 + 2 - 5*z**2.
2*(z - 1)**2
Let j(i) be the third derivative of i**5/60 + 5*i**4/24 + i**3/6 - 11*i**2. Let q(c) = c**2 + 4*c + 1. Let z(t) = -2*j(t) + 3*q(t). Factor z(h).
(h + 1)**2
Let t(k) be the second derivative of -k**6/60 - 2*k**5/5 - 21*k**4/8 + 4*k**3/3 + 16*k**2 + 72*k + 1. Factor t(h).
-(h - 1)*(h + 1)*(h + 8)**2/2
Let y(p) be the second derivative of 4*p**4/3 + 19*p**3 + 7*p**2 + 50*p - 2. Solve y(g) = 0 for g.
-7, -1/8
Let u = 143/18 - 47/6. Let i(s) be the second derivative of 0 + 1/54*s**4 - s + 2/9*s**2 - u*s**3. Let i(a) = 0. Calculate a.
1, 2
Let t be (-1)/(-3) + 99/27. Factor -8*g + 2*g**2 + 4*g - 4*g**2 + 2*g**t + 4*g**3.
2*g*(g - 1)*(g + 1)*(g + 2)
Let 24/5*i**2 + 1/5*i**3 - 46/5 + 21/5*i = 0. Calculate i.
-23, -2, 1
Suppose 14 - 2 = 3*p. Suppose -u = -2*t - t + 22, -p*t + 44 = -5*u. Factor 0*l**2 - 3*l**3 + t*l**3 - 3*l**2 - 3*l + 0*l**3 + 3*l**4.
3*l*(l - 1)*