 + 226*j**2 + 200*j - 652*j**4 + 710*j**3 = 0. Calculate j.
-2/5, -2/7, 0, 5
Let z = -9314564204/5338539 + -1/593171. Let r = z + 1745. Factor -4/9 - r*d**2 + 2/3*d.
-2*(d - 2)*(d - 1)/9
Let u(n) be the third derivative of n**8/1680 + 17*n**7/1050 + 19*n**6/120 + 7*n**5/12 - 1424*n**2. Suppose u(a) = 0. Calculate a.
-7, -5, 0
Let k(u) be the first derivative of -1/15*u**5 - 2/3*u**3 - 12 + 2/3*u**2 + 1/3*u**4 - 15*u. Let m(d) be the first derivative of k(d). Factor m(w).
-4*(w - 1)**3/3
Let k(m) be the first derivative of 5/4*m**4 - 5/2*m**2 - 95 - 10/3*m**3 + 10*m. What is p in k(p) = 0?
-1, 1, 2
Let q = 279 + -223. Let o be (-8)/q - 5/((-420)/488). Solve -2 - 5/3*k**2 + o*k = 0 for k.
2/5, 3
Let i be (70/189)/(36/5184). Factor -4/3*g**2 - 164/3*g - i.
-4*(g + 1)*(g + 40)/3
Let p(j) be the second derivative of 1/48*j**5 - 22*j**2 + 1/480*j**6 + 0 + 1/24*j**4 + 22*j + 0*j**3. Let d(l) be the first derivative of p(l). Factor d(y).
y*(y + 1)*(y + 4)/4
Suppose 12 = -18*c + 48. Factor -10*m - c*m**2 - 19*m - 28 + m**2.
-(m + 1)*(m + 28)
Suppose 434*o - 2322 = 13*o - 367*o + 14*o. Solve -3*w**4 - 19/3*w**o + 7/3*w**5 - 8*w + 41/3*w**2 + 4/3 = 0 for w.
-2, 2/7, 1
Let y be 132/264 + (13/10 - (-8)/40). Factor 0*b - 3/4*b**4 + 3/4*b**3 + 0*b**y + 0.
-3*b**3*(b - 1)/4
Suppose 3*z + 2 = 14. Solve 1 - z*j + 16*j**2 - 1 - 2 - 18*j**2 = 0.
-1
Let j = 1568 + -1554. Suppose j = 2*b - 5*f, 5 = -5*f - 5. Factor -2/3 + 26/9*a**b + 4/3*a**3 - 32/9*a.
2*(a - 1)*(a + 3)*(6*a + 1)/9
Let p(x) be the second derivative of x**4/96 - 403*x**3/48 + 2394*x. Factor p(m).
m*(m - 403)/8
Let v(y) be the second derivative of -1/12*y**3 - 1/48*y**4 + 31*y - 1/8*y**2 + 0. Factor v(t).
-(t + 1)**2/4
Suppose 232*j = 91*j + 15087. Let d(x) = -x - 4. Let r be d(-6). Factor -3*t**3 - 9*t**r - j*t + 107*t.
-3*t**2*(t + 3)
Let z = 11/692 + 3261989/6228. Let n = 524 - z. Find x, given that n*x**2 + 4/3 + 10/9*x = 0.
-3, -2
Let k(b) be the second derivative of b**5/40 - 155*b**4/2 + 96100*b**3 - 59582000*b**2 + 345*b - 1. Find m, given that k(m) = 0.
620
Let x(p) be the first derivative of 2*p**3/21 + 1098*p**2/7 + 602802*p/7 + 619. Factor x(b).
2*(b + 549)**2/7
Suppose 52 = -4*y + 64. Factor -27 + 3*h + 5*h + 35 - 4*h**y - 3*h**3 - 2*h**2 + 5*h**3.
-2*(h - 2)*(h + 1)*(h + 2)
Determine m so that 6 + 1/4*m**4 + 13/4*m**3 + 59/4*m + 47/4*m**2 = 0.
-8, -3, -1
Let i(f) be the first derivative of -5*f**6/12 - 21*f**5/2 + 185*f**4/4 + 30*f**3 - 350*f**2 + 480*f + 1500. Solve i(r) = 0 for r.
-24, -2, 1, 2
Let l(t) = -3*t**2 + 29*t - 16. Let b(a) = -3*a**2 + 28*a - 17. Let p = 201 + -197. Let k(c) = p*l(c) - 5*b(c). Factor k(q).
3*(q - 7)*(q - 1)
Let g(f) be the second derivative of 0 + 1/240*f**5 + 0*f**3 + 12*f - 15/2*f**2 + 1/96*f**4. Let k(o) be the first derivative of g(o). Factor k(m).
m*(m + 1)/4
Suppose 98*i = 76*i + 110. Let g(l) be the second derivative of -1/10*l**6 + 3*l**2 + 0 - 3*l + 9/20*l**i - 1/4*l**4 - 3/2*l**3. Factor g(v).
-3*(v - 2)*(v - 1)**2*(v + 1)
Factor 4671*t**2 - 429*t**3 - 86*t**3 - 35*t**4 - 6411*t**2 + 540*t.
-5*t*(t + 6)*(t + 9)*(7*t - 2)
Let a(i) be the first derivative of -i**7/840 + 23*i**6/360 + i**3/3 - 9*i**2 + 62. Let h(g) be the third derivative of a(g). Factor h(d).
-d**2*(d - 23)
Find b such that 244/5*b + 113*b**2 + 233/5*b**3 - 20 + 12/5*b**4 = 0.
-50/3, -2, -1, 1/4
Let u(k) = 56*k**3 + 6194*k**2 + 3097*k + 391. Let b(c) = 60*c**3 + 6195*c**2 + 3095*c + 390. Let g(s) = 6*b(s) - 5*u(s). Factor g(i).
5*(i + 77)*(4*i + 1)**2
Let z = 4633/4 - 1158. Let i(q) be the third derivative of 0*q - z*q**4 - 4/9*q**3 - 1/180*q**6 - 1/15*q**5 - 21*q**2 + 0. Factor i(v).
-2*(v + 1)**2*(v + 4)/3
Let z(s) = 13*s - 232. Let k be z(18). Factor -44*a - 21 - 69 + 4*a**k - 54 + 7*a - 27*a.
4*(a - 18)*(a + 2)
Factor 3/4*f**3 + 336 + 675/2*f**2 + 2691/4*f.
3*(f + 1)**2*(f + 448)/4
Let k = -21459 - -85837/4. Factor -20 - 14*f - 13/4*f**2 - k*f**3.
-(f + 4)**2*(f + 5)/4
Let s(g) be the third derivative of -18*g**7/175 - 9*g**6/200 + 87*g**5/25 + 238*g**4/15 + 32*g**3 + 595*g**2. Determine w so that s(w) = 0.
-4/3, 15/4
Suppose s + 3 = -5*r, -r - 7 = s - 8. Let 41 + 47 + 24 - 2*u**2 - u**s - 37 = 0. Calculate u.
-5, 5
Let t(k) = 5*k - 8. Let b be t(2). Find a such that -18*a - a**2 - a**2 - 2*a**b - 66*a = 0.
-21, 0
Suppose -19*f = 3*f - 44. Find i, given that 3*i**f + 14*i - i**2 + 27*i - 51*i = 0.
0, 5
Let r be (-440)/(-160) + 377/29. Let 21/4*f**4 - r*f**2 - 6*f - 3/2*f**3 + 3 = 0. Calculate f.
-1, 2/7, 2
Let m(g) be the first derivative of -86 + 4*g**4 + 0*g + 1/5*g**5 + 29/3*g**3 + 7*g**2. Solve m(i) = 0 for i.
-14, -1, 0
Let m = 535 + -534. Let f be (1 - (-66)/(-18))*m/(-12). Factor f*u**2 + 0 - 4/9*u.
2*u*(u - 2)/9
Let q(z) be the third derivative of 1/210*z**5 + 0*z**4 + 0*z**3 + 0*z + 0 - 135*z**2 - 1/420*z**6. Factor q(i).
-2*i**2*(i - 1)/7
Let v(u) be the second derivative of 3*u + 43 + 3/80*u**5 - 39/8*u**3 + 9/8*u**4 + 15/2*u**2. Factor v(n).
3*(n - 1)**2*(n + 20)/4
Let w(p) = -6*p**3 - 153*p**2 - 36*p + 105. Let q(i) = -3*i**3 - 82*i**2 - 18*i + 53. Let u(k) = 9*q(k) - 5*w(k). Factor u(l).
3*(l - 1)*(l + 2)*(l + 8)
Suppose -852/5*t + 3/5*t**2 + 60492/5 = 0. What is t?
142
Let j = -16 + 30. Let i be j/10 - 1 - 36/(-10). Factor 2*g**3 + 3*g**3 + 20*g**4 - 25*g**i + 10*g**2.
-5*g**2*(g - 2)*(g + 1)
Let f(h) be the first derivative of h**4/16 + 7*h**3/6 - 69*h**2/8 + 27*h/2 - 1551. Factor f(n).
(n - 3)*(n - 1)*(n + 18)/4
Let b(n) = -n**3 + 12*n**2 - 21*n - 12. Let q be b(9). Suppose -60 + q = -6*c. What is l in 5*l**2 - 4*l**3 - l**3 + 4*l**c - 10*l + 6*l**3 = 0?
-2, 0, 1
Let r be (-5)/(75/312)*(-16 - (-682)/44). Let -28/5 - 6/5*a**3 - r*a**2 - 74/5*a = 0. Calculate a.
-7, -1, -2/3
Let i(u) = -6*u + 92. Let k be i(15). Suppose 17 = h - 2*y, -3*h = 4*y - 2*y - 27. Solve b + 9*b - b**k - h*b - 2 + 2*b**2 = 0.
-1, 2
Factor 2566*n**2 - 823 - 2049 + 5011*n - 711*n + 20*n**3 + 4626*n**2.
4*(n + 1)*(n + 359)*(5*n - 2)
Let n = -3/11969 - -275296/35907. Factor n*j - 529/6*j**2 - 1/6.
-(23*j - 1)**2/6
Find s such that -10*s - 26*s + 852*s**2 - 864*s**2 - 3*s**3 + 6*s**3 = 0.
-2, 0, 6
Suppose -117/4*z + 0*z**2 + 3/4*z**3 + 105/2 = 0. Calculate z.
-7, 2, 5
Suppose 0 = 16*t - 1976 + 312. Factor 17*a - a**3 + t*a**2 + 3*a - 3*a**3 - 96*a**2 - 24.
-4*(a - 3)*(a - 1)*(a + 2)
Suppose 0*x + 15*x - 12*x = 88*x. Factor -1/3*b**3 + b**2 + x + 4/3*b.
-b*(b - 4)*(b + 1)/3
Let p(j) = -7*j**4 - 45*j**3 - 639*j**2 - 2368*j + 7683. Let d(n) = 16*n**4 + 90*n**3 + 1277*n**2 + 4736*n - 15367. Let x(r) = 3*d(r) + 7*p(r). Solve x(k) = 0.
-16, -15, 2
Let x = 66 - 9. Suppose 42*j = 39*j + x. Factor 10*b - j*b + 6 + 13*b - 2*b**2.
-2*(b - 3)*(b + 1)
Let n be (635/20)/((1/4)/(-1)). Let h = n - -130. Solve 1331 + 1058*a - a**h - 1421*a + 0*a**3 + 33*a**2 = 0.
11
Let z(a) = a**2 + 15*a + 9. Suppose -8*u = -10*u - 30. Let k be z(u). What is m in -3*m**5 - 2*m**3 - 8*m**4 + 8*m**5 - k*m**5 - m**4 = 0?
-2, -1/4, 0
Determine q so that -45*q**3 + 4*q**4 - 24200 - 9492*q - 6*q**4 - 111000 - 3218*q**2 - 24828*q - 87*q**3 = 0.
-20, -13
Determine i, given that 30 - 59/4*i**2 + 31/2*i - 1/4*i**3 = 0.
-60, -1, 2
Suppose 3*m = 4940 - 4940. Let i(y) be the first derivative of 1/7*y**2 + 15 + m*y - 1/14*y**4 + 0*y**3. Let i(u) = 0. What is u?
-1, 0, 1
Factor 6/7*l**2 - 8/7*l + 2/7*l**3 - 24/7.
2*(l - 2)*(l + 2)*(l + 3)/7
Let u(c) be the second derivative of -81*c**5/20 - 15*c**4/2 - 25*c**3/6 - 1194*c. Factor u(h).
-h*(9*h + 5)**2
Let f(d) be the third derivative of -d**6/480 - 3*d**5/80 - 5*d**4/24 + 70*d**2 - 12*d. Find g such that f(g) = 0.
-5, -4, 0
Determine g so that -124*g**3 + 44*g**5 - 95*g - 3 + 6 - 37*g**4 + 244*g**2 - 33*g - 15*g**4 + 13 = 0.
-2, 2/11, 1
Let h(d) = -8*d**4 - 525*d**3 + 886*d**2 - 179*d - 153. Let l(u) = -5*u**4 - 262*u**3 + 444*u**2 - 90*u - 75. Let s(b) = -4*h(b) + 7*l(b). Solve s(w) = 0 for w.
-1/3, 1, 87
Suppose -5*r + 4*r - 2 = 4*k, -82 = -5*r + 3*k. Let w be (r/6)/((-2)/(-6)). Factor 27*a - 2*a**2 - 17 - w*a - 12 - 21.
-2*(a - 5)**2
Let z(n) be the first derivative of n**3/12 - 191*n**2/8 + 1049. Factor z(u).
u*(u - 191)/4
Let u(s) = -4*s**3 - 162*s**2 - 80*s + 3. Let p be u(-40). Factor 0 + i - 2/3*i**2 - 1/3*i**p.
-i*(i - 1)*(i + 3)/3
Let f be (-34386)/165*25/4. Let y = 1303 + f. F