
Suppose 125 = 6*b + 71. Determine y, given that 0*y**2 + 14*y + y**2 - b*y - 10 - 2*y = 0.
-5, 2
Let l = -11959 + 11966. Let f(p) be the first derivative of -l + 3/2*p + 1/2*p**2 + 1/18*p**3. Factor f(y).
(y + 3)**2/6
Let s(r) be the third derivative of 0 + 1/168*r**8 + 2*r**2 - 20*r + 1/5*r**5 + 1/9*r**3 + 7/36*r**4 + 13/315*r**7 + 11/90*r**6. Factor s(m).
2*(m + 1)**4*(3*m + 1)/3
Let k(x) be the third derivative of x**7/2310 + x**6/30 - 79*x**5/220 + 97*x**4/66 - 98*x**3/33 + 47*x**2 + 20*x + 2. Factor k(y).
(y - 2)**2*(y - 1)*(y + 49)/11
Let l(j) = -j**3 + 47*j**2 - 2*j - 1500. Let a(p) = 3*p**3 - 189*p**2 + 9*p + 6000. Let n(i) = 2*a(i) + 9*l(i). Find c such that n(c) = 0.
-5, 10
Let o = 555809 + -5002279/9. Factor -14/9 + o*m**2 + 4/3*m.
2*(m - 1)*(m + 7)/9
Suppose -2*n = -7*n + q + 17, 2*n - 2*q = 10. Let z(d) be the first derivative of -1/15*d**n + 0*d**2 - 8 + 1/5*d. Factor z(a).
-(a - 1)*(a + 1)/5
Suppose -175 + 169 = -2*x. Find h, given that -16*h**2 + 88*h**3 + 98*h**x - 182*h**3 = 0.
0, 4
Factor -810000 + 1850*x**2 - 3600*x - 858*x**2 - 996*x**2.
-4*(x + 450)**2
Suppose 479 = 8*d - 7*d. Let m = -474 + d. Factor 1/12*t**m + 0 - 1/4*t**4 + 0*t + 1/6*t**3 + 0*t**2.
t**3*(t - 2)*(t - 1)/12
Determine j so that -297 + 12*j**3 - 460*j**2 - 673*j**2 - 70*j**2 + 1488*j = 0.
1/4, 1, 99
Let y = -69/7 + 353/28. Let m(l) be the second derivative of 6*l**2 - 2*l**7 - 159/20*l**5 - 15/2*l**6 + 0 + 21/2*l**3 + y*l**4 - 2*l. Solve m(n) = 0.
-1, -1/4, 4/7
Let g(y) = -206 + 573*y**3 - 8*y + y - 572*y**3 + 26*y**2 - y. Let b be g(-26). Suppose 2/3*s - 2/3*s**3 - 1/3*s**4 + 0*s**b + 1/3 = 0. What is s?
-1, 1
Suppose -4*z - 22 = 5*c + 27, 0 = 2*z - 3*c - 3. Let h(p) = p**3 + 5*p**2 - 8*p - 7. Let n be h(z). Factor -11 + 26 + n*x**3 + 7*x**2 - 21 - 5*x - x**4.
-(x - 6)*(x - 1)*(x + 1)**2
Let q(k) be the second derivative of -152*k + 1/78*k**4 + 0 + 0*k**2 + 4/39*k**3. Factor q(n).
2*n*(n + 4)/13
Let j(k) be the first derivative of 8*k**7/7 - 44*k**6/5 - 141*k**5/20 - 3*k**4/2 + 66*k + 111. Let q(a) be the first derivative of j(a). Factor q(c).
3*c**2*(c - 6)*(4*c + 1)**2
Let x(t) = -t**3 + 2*t**2 + 4*t. Let c be x(3). Suppose -5*g + 3*a + 44 = 0, -4*g - 7*a + 48 = -c*a. Factor 12*j**2 - 2*j**3 - g + 6 + 10*j**3.
4*(j + 1)**2*(2*j - 1)
Factor 452*m**3 + 16399*m**2 + 5*m**4 - 81656 + 33256 - 2995*m**2 - m**4 + 34540*m.
4*(m - 1)*(m + 4)*(m + 55)**2
Let g(a) be the third derivative of 3*a**2 + 0 - 1/210*a**6 + 2/21*a**5 + 7*a + 23/42*a**4 + 8/7*a**3. Factor g(h).
-4*(h - 12)*(h + 1)**2/7
Let y = -223/11 - -5641/275. Let z(w) be the first derivative of 0*w**3 + 9/10*w**4 - 14 - y*w**5 - 12/5*w**2 + 0*w. Solve z(d) = 0.
-1, 0, 2
Let o be 4/6 - 11/(231/(-28)). Let s = -40281/7 + 5755. Find y, given that s*y**o - 2/7*y**3 + 0 - 2/7*y = 0.
0, 1
Let g = -117315/17 + 1759793/255. Factor 22/15*h - 4/5 + g*h**2.
2*(h + 6)*(2*h - 1)/15
Suppose -4/7*b**5 + 300/7*b**3 + 32*b + 488/7*b**2 + 32/7*b**4 + 0 = 0. Calculate b.
-4, -1, 0, 14
Let m = -751 - -742. Let q(j) = -3*j**2 - 26*j + 9. Let x be q(m). Let x*n + 0 - 1/4*n**3 + 0*n**2 = 0. What is n?
0
Let t(k) be the third derivative of k**7/350 - 3*k**6/40 + 18*k**5/25 - 27*k**4/10 - 44*k**2 + 3*k - 4. Suppose t(i) = 0. Calculate i.
0, 3, 6
Let h be (-21)/(-28) - ((-1890)/264 + -4 + 7). Solve h*w**4 - 48/11*w**2 - 24/11*w**5 - 6/11 - 12/11*w**3 + 36/11*w = 0.
-1, 1/4, 1
Suppose 0 = 3*a + 5*h - 3, a + 58*h = 63*h - 19. Let c be 1044/(-171) - -8 - a/38. Factor 0 - 3/5*k**c - 6/5*k.
-3*k*(k + 2)/5
Let r = 205253161/89292602 - 3750/53597. Let d = -57/98 + r. Suppose 98/17 + 2/17*y**2 + d*y = 0. Calculate y.
-7
Let p = 96819 - 96817. Factor 4*y - 14/3*y**3 + 38/3*y**p + 0.
-2*y*(y - 3)*(7*y + 2)/3
Find p, given that -27/7*p**3 + 189*p - 6/7*p**2 + 42 = 0.
-7, -2/9, 7
Let l be ((-36)/18)/((-6)/597). Factor 4240*q**2 + 1657711 + 1900052 - 396*q**3 - 431244*q - l*q**2 + 5041*q**2 + 10520*q**2 + 3*q**4.
3*(q - 33)**4
Let i(k) = -2*k + 3 - 2 + k. Let q be (6/(-8) - (-4)/(-16))/1. Let s(d) = -2*d**2 - 7*d + 5. Let z(v) = q*s(v) + 2*i(v). Factor z(u).
(u + 3)*(2*u - 1)
Let i(d) be the third derivative of -6*d**5/85 - 331*d**4/17 - 109561*d**3/51 - 14*d**2 - 2*d - 9. Suppose i(l) = 0. What is l?
-331/6
Let o(h) be the second derivative of -h**7/840 - h**6/40 + 7*h**5/40 + 5*h**4/2 - 2*h - 7. Let k(v) be the third derivative of o(v). Factor k(z).
-3*(z - 1)*(z + 7)
Let l = -2/33 - -37/66. Let v be -8 - (11 + -17) - 5/(-2). Factor 0*x - v*x**2 + 0 + l*x**5 - 1/2*x**3 + 1/2*x**4.
x**2*(x - 1)*(x + 1)**2/2
Let i be ((-12)/(-126) - (-95)/105)/270. Let j(p) be the third derivative of 1/108*p**4 + 0*p - 11*p**2 + 0*p**3 + i*p**5 + 0. Factor j(c).
2*c*(c + 1)/9
Let d = -4 - -8. Let i = -1862 - -1857. Let w(n) = -n**3 - 3*n + 8. Let p(t) = -t**3 + t**2 - 4*t + 9. Let u(c) = d*p(c) + i*w(c). Solve u(o) = 0 for o.
-4, -1, 1
Let l(t) = -7*t**2 + 11*t + 32. Let m(h) = 2*h**2 - 1. Suppose -80 = -6*g - 104. Let v(d) = g*m(d) - l(d). Factor v(s).
-(s + 4)*(s + 7)
Let w(v) be the first derivative of -18*v + 21/4*v**2 - 1/2*v**3 - 52. Determine z so that w(z) = 0.
3, 4
Let o(c) be the third derivative of -5/3*c**3 - 37*c**2 + 3/40*c**5 + 0*c + 0 + 11/6*c**4. Determine x, given that o(x) = 0.
-10, 2/9
Let l = -113342/7 + 16193. Factor 3/7*w**4 + 0 + l*w**3 + 0*w + 6/7*w**2.
3*w**2*(w + 1)*(w + 2)/7
Let s(r) = r**3 - 12*r**2 + 12*r - 9. Let y be s(11). Solve 12*m**2 + 2 + 1053*m - 11*m**y - 2 - 1088*m = 0.
0, 35
Let r(q) be the first derivative of -121*q**3/6 - 1562*q**2 - 40328*q + 2923. Let r(n) = 0. What is n?
-284/11
Let p(d) be the first derivative of 0*d**2 + 5*d + 46 - 5/3*d**3. Determine n, given that p(n) = 0.
-1, 1
Let f = 517/4 + -2349/20. Let k = -11 + f. Let 9*r**2 + k - 24/5*r - 5*r**3 = 0. Calculate r.
2/5, 1
Factor -2/3*c**2 + 0 + 1304/3*c.
-2*c*(c - 652)/3
Suppose -61*f - 33008 = -9889. Let z = f - -381. Determine w so that -1/6*w**3 + 1/6*w - 1/6*w**z + 1/6 = 0.
-1, 1
Let p = 354 + -349. Let -p*h**3 + 0*h**3 + 2 - h + 2*h**2 - 4*h - 4*h**4 + h**5 + 9*h**3 = 0. Calculate h.
-1, 1, 2
Let -6 - 27/5*h**3 + 29/5*h - 61/5*h**4 - 2/5*h**5 + 91/5*h**2 = 0. What is h?
-30, -1, 1/2, 1
Let f be ((-195)/6)/5*(2 - 480/208). Suppose 136/7*t**f - 578/7*t**3 - 8/7*t + 0 = 0. What is t?
0, 2/17
Factor -3/4*n**2 - 147*n - 7203.
-3*(n + 98)**2/4
Let y(h) be the third derivative of 2*h**7/315 - 13*h**6/90 + 13*h**5/15 - 3*h**4/2 + 12*h**2 - 4*h - 18. Let y(v) = 0. Calculate v.
0, 1, 3, 9
Let b(n) be the second derivative of n**7/2835 + 233*n**6/3240 + 29*n**5/270 - 29*n**4/12 - 9*n. Let j(s) be the third derivative of b(s). Factor j(p).
2*(p + 58)*(4*p + 1)/9
What is q in 31*q - 152*q**2 + 40*q + 27*q + 50*q**2 - 3*q**4 + 33*q**3 - 26*q = 0?
0, 1, 4, 6
Let v(s) be the second derivative of 11*s**6/210 - 9*s**5/28 + 23*s**4/28 - 47*s**3/42 + 6*s**2/7 + 1243*s. Factor v(z).
(z - 1)**3*(11*z - 12)/7
Let r = 49 - 46. Let q be r*(-2)/(-2 - 0). Factor -3*m**3 - m**3 + 0*m + m - q*m**2.
-m*(m + 1)*(4*m - 1)
Let y be 0/((-8)/(3 + 1)). Let j = 42258 + -42256. Find w such that 1/9*w**5 + 0 - 1/9*w**3 + 0*w**4 + y*w**j + 0*w = 0.
-1, 0, 1
Suppose 7*b = 4*b - 2*d + 295, -3*d - 214 = -2*b. Determine h, given that -b*h + 31*h + 40*h + 3*h**2 = 0.
0, 10
Let o(t) be the second derivative of t**4/60 - 20*t**3/3 - 408*t**2/5 - 4356*t. Let o(y) = 0. What is y?
-4, 204
Let v = 21 + -17. Factor 4 - 8*f**3 + 251*f**4 - v*f**2 - 251*f**4 + 6*f + 2*f**5.
2*(f - 2)*(f - 1)*(f + 1)**3
Let u(w) be the third derivative of w**5/150 - 151*w**4/60 + 2*w**2 + 306*w. Factor u(i).
2*i*(i - 151)/5
Let v = -32 + 39. Let t be 128/12 - (1 - v/3). Determine w, given that -t*w**2 + 3*w - 6*w**3 + 10 - 37*w**4 + 25*w**4 + 18*w**4 - 4 + 3*w**5 = 0.
-2, -1, 1
Let c(i) be the first derivative of -2/35*i**5 - 31 - 12/7*i**2 + 16/21*i**3 + 1/14*i**4 + 0*i. Factor c(m).
-2*m*(m - 2)**2*(m + 3)/7
Let b(d) be the first derivative of -113 - 8/11*d + 32/11*d**2 - 14/3*d**3 + 49/22*d**4. Factor b(g).
2*(g - 1)*(7*g - 2)**2/11
Let u = -7886/3 + 37697/12. Let l = 513 - u. Find x, given that -l*x**5 + 0*x**2 + 0 + 0*x**4 - 1/4*x + 1/2*x**3 = 0.
-1, 0, 1
What is f in 32/3 - 8*f**2 + 2/3*f**4 + 2/3*f**3 + 8/3*f = 0?
-4, -1, 2
Suppose -2*o + 57*j + 36 = 54*j, -j + 2 = 4*o. Factor -16/3*h + 11/6*h**2 - 2/3 