 - -9564. Determine x so that -3/4 + y*x + 3/4*x**2 - 3/4*x**3 = 0.
-1, 1
Let f be 4/8*(20 + -2). Suppose -f*m - 21 = -16*m. Factor 0*l + 1/2*l**2 - 1/2*l**m + 0.
-l**2*(l - 1)/2
Let c = -78 + 80. Factor c*l**4 + 2*l**3 + 4*l**3 + 4*l**2 + 2*l**4 + 2*l**3.
4*l**2*(l + 1)**2
Let 0*f + 3750/11*f**2 + 46*f**4 + 0 - 6550/11*f**3 - 10/11*f**5 = 0. Calculate f.
0, 3/5, 25
Suppose -6*v - 2*y + 12 = -v, -v + 2*y = 0. Suppose -8*k**v + 10*k**4 + 4*k**5 + 73*k**3 + 0*k**2 - 2 - 69*k**3 - 8*k = 0. What is k?
-1, -1/2, 1
Let a(b) = 5*b**3 + 57*b**2 + 378*b - 1021. Let w(l) = l**3 - l**2 - 2*l + 1. Let s(o) = -2*a(o) + 6*w(o). Factor s(f).
-4*(f - 2)*(f + 16)**2
Let -15*z**2 + 69*z**4 - 4*z**5 + 0*z**5 + 15*z**2 + 7*z**5 = 0. Calculate z.
-23, 0
Let g(x) be the third derivative of -1/48*x**3 - 1/480*x**6 - 1/240*x**5 - 5*x**2 + 1/64*x**4 + 0*x + 1/560*x**7 - 1/2688*x**8 + 0. Factor g(c).
-(c - 1)**4*(c + 1)/8
Let o = 13 - 16. Let t be ((-4)/o)/(12/18). What is v in -3*v + 3*v - 1 - 2*v + t + v**2 = 0?
1
Let 2/7*a**2 - 6/7 + 4/7*a = 0. Calculate a.
-3, 1
Let o be (-66)/5 + 1/5. Let f = 17 + o. Factor -f*p**3 + 0*p**2 - 4*p**2 + 18*p**3.
2*p**2*(7*p - 2)
Let x(z) be the first derivative of 1 + 0*z - 5/2*z**2 + 5/6*z**6 - 2*z**5 + 0*z**4 + 10/3*z**3. Factor x(h).
5*h*(h - 1)**3*(h + 1)
Let q(j) = -16*j - 78. Let h be q(-5). Let n be 0/1 + 24/18. Factor 2/9*i**5 + 0 - 8/9*i**h - 8/9*i**4 + n*i**3 + 2/9*i.
2*i*(i - 1)**4/9
Factor 20*b**2 + 27 - 13*b**2 + 5 - 5*b**2 - 7*b - 13*b.
2*(b - 8)*(b - 2)
Factor 90*f - 79 + 79 + 5*f + 5*f**2.
5*f*(f + 19)
Let o(h) be the second derivative of -h**7/245 + h**6/84 - h**5/105 - 11*h**2/2 - 25*h. Let k(b) be the first derivative of o(b). Factor k(f).
-2*f**2*(f - 1)*(3*f - 2)/7
Suppose 10*d = 15*d - 135. Let d*z**2 - 81 - 24*z**2 + 42*z + 124 + 104 = 0. What is z?
-7
Let 871*z - 278998 + 86798 - z - 2*z**2 + 370*z = 0. What is z?
310
Let q = -251 - -1761/7. Let d(u) be the second derivative of 8/21*u**3 + 0 + q*u**2 - 1/105*u**6 + 1/42*u**4 - 1/14*u**5 + 1/147*u**7 - u. Factor d(v).
2*(v - 2)**2*(v + 1)**3/7
Suppose 67*w - 83*w - 30 + w**2 - 3*w**2 = 0. What is w?
-5, -3
Let i be (-946)/(-44) + -11 + -9. Let -i*k**5 + 0 + 7/2*k**3 - 2*k**4 - 2*k + 2*k**2 = 0. Calculate k.
-2, -1, 0, 2/3, 1
Let q(p) be the second derivative of -5*p**7/42 - 23*p**6/3 - 263*p**5/2 + 175*p**4/3 + 8395*p**3/6 + 2645*p**2 + 257*p. What is u in q(u) = 0?
-23, -1, 2
Let g(w) be the third derivative of w**8/84 + 4*w**7/15 + 313*w**6/120 + 291*w**5/20 + 405*w**4/8 + 225*w**3/2 + 106*w**2. Determine b, given that g(b) = 0.
-3, -5/2
Let l(m) be the second derivative of m**5/10 - 13*m**4/6 + 22*m**3/3 + 6*m. Let l(u) = 0. What is u?
0, 2, 11
Factor -108*f**3 + 70*f**5 + 96*f + 96*f**2 - 26 - 73*f**5 - 118 + 33*f**4.
-3*(f - 6)*(f - 2)**3*(f + 1)
Let a = 474 - 102383/216. Let p = 653/1080 - a. Factor -1/5*v**2 + p + 2/5*v.
-(v - 3)*(v + 1)/5
Let b = -42997/4501 + -12/643. Let m = 10 + b. Factor 0 - 6/7*h**2 + 3/7*h**5 + 6/7*h**4 - m*h + 0*h**3.
3*h*(h - 1)*(h + 1)**3/7
Let m = -15/238 - -83/238. Suppose m*h**2 - 4/7*h + 0 = 0. What is h?
0, 2
Let m = -19805/14064 - 33/293. Let s = -3/16 - m. Find v, given that 0 - 4/3*v**3 + s*v**2 + 8/3*v = 0.
-1, 0, 2
Let m(d) = -33*d**2 + 51*d - 9. Let k(v) = -17*v**2 + 26*v - 4. Suppose 0 = 12*f - 66 - 42. Let n(r) = f*k(r) - 4*m(r). Find z such that n(z) = 0.
0, 10/7
Suppose -5*n = -3*t - 19, n + 13*t - 15*t - 1 = 0. Let f(l) be the first derivative of 1/5*l**5 + 1/3*l**3 + 0*l + 0*l**2 + n - 1/2*l**4. Factor f(i).
i**2*(i - 1)**2
Let u(b) be the first derivative of 3*b**5/5 - 7*b**4/6 + b**2 + 16*b - 15. Let v(g) be the first derivative of u(g). Factor v(l).
2*(l - 1)*(2*l - 1)*(3*l + 1)
Determine r, given that 60*r**2 - 23*r - 73 + 18*r + 13 + 5*r**3 = 0.
-12, -1, 1
Let t(j) be the third derivative of -j**7/1155 - j**6/60 + j**5/330 + j**4/12 - 458*j**2. Find b, given that t(b) = 0.
-11, -1, 0, 1
Let x(n) = -80*n**2 - 960*n + 150. Let u(g) = 3*g**2 - g. Let m(w) = -5*u(w) - x(w). Solve m(z) = 0 for z.
-15, 2/13
Let z(x) be the third derivative of 23*x**2 + 0*x**3 - 1/15*x**5 + 0*x - 1/6*x**4 + 0. Factor z(k).
-4*k*(k + 1)
Let r(s) be the second derivative of -2*s**7/21 - 7*s**6/15 - s**5/5 + 11*s**4/6 + 4*s**3/3 - 4*s**2 + 66*s. Determine t so that r(t) = 0.
-2, -1, 1/2, 1
Let p(c) = 3*c**2 + 11*c + 4. Let k be p(-5). Determine f, given that -2*f**3 - k*f + 20*f**2 - 4*f**3 - 4*f**3 + 6*f**3 = 0.
0, 2, 3
Let s(u) be the first derivative of -u**6/15 + 32*u**5/25 - 44*u**4/5 + 128*u**3/5 - 144*u**2/5 + 249. Let s(i) = 0. What is i?
0, 2, 6
Let g(v) = -2*v**2 + 19*v - 62. Let w(m) = -m**2 + 9*m - 30. Let t(k) = -3*g(k) + 5*w(k). Factor t(p).
(p - 6)**2
Suppose 11*b - 14*b = -18. Suppose -8 + 5*x**3 + b - 15*x - 4 - 4 = 0. What is x?
-1, 2
Let r = 124 + -122. Factor 51*i**2 - 36*i**r - 2*i**4 - 5 + i + 2*i**3 + 5*i**3.
-(i - 5)*(i + 1)**2*(2*i - 1)
Find o such that 96/5 - 14/5*o**3 - 176/5*o - 106/5*o**2 = 0.
-4, 3/7
Factor -4/7*j**3 + 0*j + 3/7*j**2 + 1/7*j**4 + 0.
j**2*(j - 3)*(j - 1)/7
Let h(x) be the third derivative of -x**8/1848 - 2*x**7/231 - 5*x**6/132 - 59*x**2. Factor h(v).
-2*v**3*(v + 5)**2/11
Let -6/5*u + 2*u**2 - 16/15 + 4/15*u**3 = 0. Calculate u.
-8, -1/2, 1
Suppose -r = -5*u + 2*r + 37, 5*u = 2*r + 28. Factor 7/3*h**u - 1/3*h**4 + 0 + 0*h - 2*h**3.
-h**2*(h - 1)*(h + 7)/3
Let u(l) be the second derivative of l**7/18 - 64*l**6/45 - 79*l**5/20 - 31*l**4/18 + 20*l**3/9 + 11*l + 6. Solve u(q) = 0.
-1, 0, 2/7, 20
Let s(z) be the first derivative of 41*z**6/63 + 8*z**5/5 + 15*z**4/14 + 4*z**3/63 - 510. Suppose s(v) = 0. Calculate v.
-1, -2/41, 0
Suppose 0 = 9*n - 5*n - 32. Factor -n*g + 5*g**2 + 3*g**3 + 0*g + 2*g**3 - 2*g.
5*g*(g - 1)*(g + 2)
Factor 24*j**3 + j**4 + 264*j + 166*j**2 + 96 + 47 - 22.
(j + 1)**2*(j + 11)**2
Let y be (-164)/(-10) + (-9)/(-15). Find v such that -6*v**4 + 10*v**5 + 16*v**5 - 10*v**5 + y*v**5 = 0.
0, 2/11
Let d(c) be the third derivative of -c**5/30 + 14*c**4/3 - 784*c**3/3 + 2*c**2. Factor d(z).
-2*(z - 28)**2
Let t(z) be the first derivative of -1/4*z**4 - 3*z - 1/2*z**3 + 1 + 3/20*z**5 + 3/2*z**2. Let m(y) be the first derivative of t(y). Factor m(c).
3*(c - 1)**2*(c + 1)
Let k(m) = 129*m - 384. Let l be k(3). Let f(j) be the third derivative of -1/3*j**l - 1/240*j**6 + 0 + 7/48*j**4 - 1/60*j**5 - 10*j**2 + 0*j. Factor f(u).
-(u - 1)**2*(u + 4)/2
Let j(a) be the second derivative of -a**6/6 - 7*a**5/4 - 25*a**4/12 + 35*a**3/6 + 15*a**2 + 18*a. Suppose j(f) = 0. Calculate f.
-6, -1, 1
Suppose -5*w - 4*j + 0*j = -21, 0 = -2*w - 2*j + 8. Let x be w + -3*(-2)/(-3). Suppose -r**4 + r + r**2 + 7 - 7 - r**x = 0. What is r?
-1, 0, 1
Suppose 0 = s + 6*s. Let t(c) be the second derivative of 0 + 1/50*c**5 + s*c**4 - 5*c + 0*c**3 + 0*c**6 + 0*c**2 - 1/105*c**7. Factor t(m).
-2*m**3*(m - 1)*(m + 1)/5
Let j(d) be the first derivative of 0*d - 26 + 9/4*d**2 - 1/2*d**3. Factor j(i).
-3*i*(i - 3)/2
Let m(n) be the first derivative of 5*n**6/42 + 78*n**5/35 + 433*n**4/28 + 964*n**3/21 + 270*n**2/7 - 400*n/7 + 9. Solve m(s) = 0.
-5, -4, -2, 2/5
Suppose o + u = -12 + 14, 2*o = -5*u - 8. Let d(m) be the first derivative of 0*m + o - 10/57*m**3 - 2/19*m**4 - 1/19*m**2. Factor d(f).
-2*f*(f + 1)*(4*f + 1)/19
Let d be ((-2)/10)/(270/(-1800)). Factor 2/3*w**2 - 2 - d*w.
2*(w - 3)*(w + 1)/3
Suppose -110*s**3 - 801*s + 4*s**4 - 340*s**2 - 2*s**4 - 2535 + 2408*s - 7*s**4 + 1383*s = 0. Calculate s.
-13, 1, 3
Let c(n) = -n + 10. Let j be c(7). Let y = -16/135 + 34/135. Factor -2/5*s**j + y*s**2 + 0 + 4/15*s.
-2*s*(s - 1)*(3*s + 2)/15
Suppose 119*b = 10*b + 327. Suppose 3*h**4 - b*h**2 + 0*h**3 + 3/2*h**5 - 3/2*h + 0 = 0. Calculate h.
-1, 0, 1
Let z(q) be the first derivative of 5*q**6/48 + 23*q**5/40 + 15*q**4/16 + q**3/6 - q**2/2 + 442. Determine u, given that z(u) = 0.
-2, -1, 0, 2/5
Let l be 506/230 - (-94)/(-45). Let v(o) be the first derivative of 1/6*o**4 + l*o**2 + 0*o - 2/45*o**5 - 14 - 2/9*o**3. Factor v(w).
-2*w*(w - 1)**3/9
Let b be 2 - (-4)/(4 + 0). Suppose -3*x = -3*f + 12, 5*x - 1 - 3 = -b*f. Determine s, given that -6*s + 3*s**f - 3*s**2 + 4*s - 4*s = 0.
-1, 0, 2
Let x be (8 - 7)/((-1)/((-10)/38)). Let z = x - -4/57. Find h such that 0 + 4/3*h - 4*h**2 + z*h**5 + 13/3*h**3 - 2*h**4 = 0.