x*q.
5*(q - 16)**2
Suppose 575*q = 317 - 317. Let u(j) be the first derivative of 2/65*j**5 + 0*j**3 + 0*j + q*j**2 - 3/26*j**4 + 6. Factor u(o).
2*o**3*(o - 3)/13
Let t be ((-49440)/(-880) + -56)/(((-18)/(-4))/((-11)/(-2))). Let -52/9 - 10/3*m - t*m**2 = 0. What is m?
-13, -2
Let b be (6/15)/(8/380). Factor -17*p - b*p - 13*p**3 + p**4 + 33*p**2 + 0 + 0 + 15*p**2.
p*(p - 6)**2*(p - 1)
Let y(h) be the third derivative of -11/4*h**4 - 179*h**2 + 0*h + 21/20*h**5 + 0*h**3 + 0 + 1/40*h**6. Suppose y(z) = 0. Calculate z.
-22, 0, 1
Factor 810*d**2 - 354*d**3 + 1612*d - 440*d**3 - d**4 - 10*d**3 + 3*d**4 - 4*d**4.
-2*d*(d - 2)*(d + 1)*(d + 403)
Let s be (780/910)/((-2)/42) + 27. Factor -81/2 - s*c - 1/2*c**2.
-(c + 9)**2/2
Let z(p) = -4*p**2 - 50*p - 22. Let n(c) = -c**3 - 39*c**2 - 30*c + 292. Let s be n(-38). Let m be z(s). Factor -1/4*g**m + 3/4 + 1/2*g.
-(g - 3)*(g + 1)/4
Let a(t) be the third derivative of t**8/280 + 13*t**7/105 + 199*t**6/150 + 46*t**5/15 - 10*t**4/3 - 946*t**2. Suppose a(o) = 0. Calculate o.
-10, -2, 0, 1/3
Let l(g) be the first derivative of 4*g**5/5 + 11*g**4 + 140*g**3/3 + 50*g**2 + 1729. Factor l(x).
4*x*(x + 1)*(x + 5)**2
Suppose s = 2*u + 239, s - 227 = -7*u + 6*u. Let f be (84/22)/2 + 21/s. Let 4/3*a + 0 - f*a**4 - 6*a**2 + 20/3*a**3 = 0. What is a?
0, 1/3, 1, 2
Let a = 26615/2 + -13307. Let f(u) be the first derivative of -11 - a*u**3 + 3/2*u + 0*u**2. Determine p, given that f(p) = 0.
-1, 1
What is t in 121*t + 0 + 2/3*t**3 - 245/3*t**2 = 0?
0, 3/2, 121
Let k be ((-20)/(-15))/(2/(-6)). Let q be 6/(-3)*(2 + k). Factor 56*o**3 + 35*o**q + 45*o**3 - 20*o - 6*o**3 + 40*o**2.
5*o*(o + 1)*(o + 2)*(7*o - 2)
Suppose -42*s = -36*s - 1620. Factor 92*x**3 - 50*x**4 + 135*x - 1035*x**5 - s*x**2 + 1040*x**5 + 88*x**3.
5*x*(x - 3)**3*(x - 1)
Let y(k) be the second derivative of -k**7/42 - k**6/6 - 3*k**5/10 - 3*k - 61. Factor y(l).
-l**3*(l + 2)*(l + 3)
Factor 74558*v**2 - 149115*v**2 + 74553*v**2 - 864 + 132*v.
-4*(v - 24)*(v - 9)
Let u(y) = -3*y**2 + 36*y - 10. Let g be u(11). Let r be 21 + 0 + -11 + 10. Factor -29*h - 20*h**2 - r - 51*h + 8*h**2 - g*h**2.
-5*(h + 2)*(7*h + 2)
Let i(o) = -8*o**3 + 3*o**2 + 2*o. Let c(g) = -3*g**3 + g**2 + g. Let r(w) = -11*c(w) + 4*i(w). Let n be r(-2). Factor -2*u**2 + 11*u + 5*u**2 + 2*u**n + 9*u.
5*u*(u + 4)
Let g(v) = -3*v + 2*v**3 + 2 + 2*v**2 + 2*v**2 - 6 + 1. Let y be g(-2). Determine l, given that l**4 + 449*l**3 - 449*l**y = 0.
0
Let t(i) = i**3 - 32*i**2 + 45*i - 22. Let a(h) = 2*h**3 - 43 - 22*h + 63*h - 85*h**2 + 47*h + 20*h**2. Let q(y) = 4*a(y) - 9*t(y). Factor q(o).
-(o - 26)*(o - 1)**2
Let m be -3 - (-3)/1 - (-1)/40. Let r(k) be the second derivative of -m*k**5 + 0 + 18*k + 1/12*k**4 + 0*k**2 + 0*k**3. What is d in r(d) = 0?
0, 2
Factor -42 + 31*m + 216*m**3 - 124*m - 8239*m**2 + 9730*m**2 - 60*m.
3*(m + 7)*(8*m + 1)*(9*m - 2)
Let p(x) be the second derivative of x**6/75 + 744*x**5/25 + 276023*x**4/15 - 73904*x**3 + 111005*x**2 - 2*x - 3025. Suppose p(i) = 0. What is i?
-745, 1
Let q(z) be the third derivative of -7/6*z**3 + 1/12*z**4 + 72*z**2 + 0*z + 0 - 1/420*z**5. What is o in q(o) = 0?
7
Factor -1942*n - 2513*n - 2*n**3 - 13013 - 216*n**2 - 1050 - 5539 - n**3.
-3*(n + 6)*(n + 33)**2
Let i = -914 + 980. Let r be (i/55)/(48/15). Suppose 0 + r*a**2 - 21/8*a = 0. What is a?
0, 7
Factor -56*p - 453*p**2 + 238*p**2 + 55 + 216*p**2.
(p - 55)*(p - 1)
Let s be 55/4 - (3 + (-65)/20). Let h be ((-12)/9)/((s/21)/(-1)). Factor 2/9*n**h - 4/9*n + 0 - 2/9*n**4 + 4/9*n**3.
-2*n*(n - 2)*(n - 1)*(n + 1)/9
Let l be 1 - -3*(-2)/10. Let b = -7828 + 7830. Find r such that -l*r + 2/5*r**b + 0 = 0.
0, 1
Let d = -5138804/5 - -1027761. Find l such that -d*l**2 - 14/5 + 3*l = 0.
1, 14
Suppose 3*o = 2*s - s + 14, 5*s = -25. What is p in 4*p**4 + 170*p**3 + 96*p + 160*p**3 - 354*p**o + 16*p**2 - 128 = 0?
-2, 2, 4
Let o(y) be the first derivative of 0*y + 0*y**3 + 0*y**2 - 2/33*y**6 + 3/22*y**4 + 197 - 2/11*y**5. Let o(s) = 0. What is s?
-3, 0, 1/2
Suppose 0 = 1856*i - 1841*i. Factor i*h + 1/7*h**5 - 361/7*h**2 - 39/7*h**4 + 0 + 57*h**3.
h**2*(h - 19)**2*(h - 1)/7
Suppose -10*z = -15*z + 25. Suppose -21 = -2*n - 0*v - 3*v, 0 = -v + z. Factor n*i - 4*i**2 + 3*i**2 - 2 + 0*i**2.
-(i - 2)*(i - 1)
Let i(j) be the second derivative of -j**6/30 + 157*j**5/20 - 2791*j**4/6 - 23042*j**3/3 - 20172*j**2 - 153*j + 16. Determine h so that i(h) = 0.
-6, -1, 82
Let u(q) be the first derivative of 0*q + 22/7*q**3 - 18/7*q**4 - 234 + 6/7*q**5 - 3/2*q**2 - 1/14*q**6. Factor u(t).
-3*t*(t - 7)*(t - 1)**3/7
Suppose 2 = 3*p - 7. Suppose -p*u = -1 - 2. Let h(m) = m**2 - m + 1. Let r(k) = 14*k**4 + 11*k**3 - 11*k**2 + 4*k - 6. Let b(n) = u*r(n) + 6*h(n). Factor b(t).
t*(t + 1)*(2*t - 1)*(7*t + 2)
Let x be (377/39 + 1)*(8 + 135/(-18)). Solve -5*j**4 - 4/3*j + 23/3*j**3 + 0 + x*j**2 = 0 for j.
-2/3, 0, 1/5, 2
Let q = 1107333 - 925732261/836. Let u = 2/209 - q. Factor -3/8 - 3/2*c**3 - u*c**2 - 3/2*c - 3/8*c**4.
-3*(c + 1)**4/8
Let y(r) be the first derivative of -85/3*r**3 - 34 + 20*r**4 + 0*r**2 + 0*r + r**5. Factor y(m).
5*m**2*(m - 1)*(m + 17)
Let i be (-2)/3 - 17/((-459)/180). Let c(t) = -t**3 - 7*t + 6. Let p(f) = 3*f**3 - f**2 + 15*f - 12. Let j(q) = i*p(q) + 15*c(q). Find u, given that j(u) = 0.
-2, 1, 3
Let s(g) be the third derivative of g**5/15 + 2*g**3 - g**2. Let p(f) = -3149*f - 3146*f + 6294*f. Let d(v) = -16*p(v) - s(v). Factor d(m).
-4*(m - 3)*(m - 1)
Suppose 4*d - 12*d + 1120 = 0. Let s(l) = d*l**2 - 5*l - 141*l**2 + 5*l. Let j(m) = -8*m**2 - 9*m. Let z(f) = -j(f) + 5*s(f). Factor z(c).
3*c*(c + 3)
Factor 164268/5*u - 6406452/5 - 1404/5*u**2 + 4/5*u**3.
4*(u - 117)**3/5
Let j(u) = 5748*u**3 - 16676*u**2 - 676*u + 21748. Let y(p) = -1150*p**3 + 3335*p**2 + 135*p - 4350. Let v(b) = 3*j(b) + 16*y(b). Factor v(q).
-4*(q + 1)*(17*q - 33)**2
Let m(s) = 13*s**2 - 1485*s - 2982. Let v(y) = 19*y**2 - 2227*y - 4474. Let a(n) = 7*m(n) - 5*v(n). Factor a(r).
-4*(r - 187)*(r + 2)
Let a(u) be the first derivative of -2*u**5/45 - 53*u**4/18 - 34*u**3/3 - 151*u**2/9 - 100*u/9 - 1407. Factor a(k).
-2*(k + 1)**3*(k + 50)/9
Let d(f) = 2*f**3 - 10*f**2 + 3*f + 24. Let x = 1013 + -1009. Let k be d(x). Factor 0 + 6/5*n**2 + 6/5*n - 6/5*n**k - 6/5*n**3.
-6*n*(n - 1)*(n + 1)**2/5
Let s(k) be the first derivative of 2/3*k**3 - 138 + 6/25*k**5 - 1/15*k**6 + 9/10*k**4 + 0*k + 0*k**2. Suppose s(m) = 0. Calculate m.
-1, 0, 5
Let s(r) be the third derivative of 0*r - 120*r**2 + 0 - 1/60*r**5 - 625/6*r**3 + 25/12*r**4. Find l, given that s(l) = 0.
25
Suppose 0 = 5*i - 5*x - 5, 0 = 5*i + 5*x + 1904 - 1919. Factor -408/7*z - 13872/7 - 3/7*z**i.
-3*(z + 68)**2/7
Let u(p) be the second derivative of -2*p**6/15 - 2*p**5/5 + 100*p**4 + 5200*p**3/3 + 8000*p**2 - 29*p - 21. Determine n so that u(n) = 0.
-10, -2, 20
Let p = -525301/5 + 105061. Determine s, given that -28/5*s**3 + 0 - 68/5*s**2 - 36/5*s + p*s**4 = 0.
-1, 0, 9
Let g(z) be the first derivative of -z**5/5 - 11*z**4/2 - 119*z**3/3 - 49*z**2 + 6882. Factor g(v).
-v*(v + 1)*(v + 7)*(v + 14)
Let l be 3 + 8/(-4) - -4. Let 28*h**4 - 2394*h**3 - 9*h**5 + 2251*h**3 - 68*h - 8 + 58*h**l - 182*h**2 = 0. What is h?
-1, -2/7, 2
Let n(h) = -h**3 - 14*h**2 + 32*h + 2. Let x be n(-16). Determine a, given that -47*a**x + 65*a**2 - 43*a**3 - 183*a - 26*a**3 - 288*a**2 + 18 = 0.
-3, -1, 2/23
Let w(b) = 2*b**3 + 2*b**2 + 16*b - 5. Let y be w(5). Let g = y - 1123/3. Factor g*q**2 + 0 - 2/3*q.
2*q*(q - 1)/3
Let r(c) be the third derivative of c**6/24 - 203*c**5/12 + 1505*c**4/12 - 1000*c**3/3 + 3*c**2 - 9*c + 6. Factor r(t).
5*(t - 200)*(t - 2)*(t - 1)
Suppose -2*a = 3*v + 4, -4*a - 98 + 177 - 99 = 0. What is x in -9*x - 3/2*x**v + 21/2 = 0?
-7, 1
Suppose -441 = -37*h - 34. Let s be ((-32928)/(-72))/((-8)/(-84)*h). Solve s + 532/11*x**3 - 196*x**2 - 54/11*x**4 + 2/11*x**5 + 2058/11*x = 0 for x.
-1, 7
Suppose -6*y + 8 + 16 = 0. Factor -2*t**5 + 9*t**3 + 37*t**2 - 20*t**2 - 41*t**2 + 2*t**y + 7*t**3.
-2*t**2*(t - 2)**2*(t + 3)
Let i = 481 - 3364/7. Let z = -412/7 + 59. Solve 2/7*q**3 - 4/7*q + i*q**2 - z*q**4 - 4/7 = 0 for q.
-1, 2
Let g(c) = -7*c**3 + 10*c**2 - 9*c. Suppose -2*t + v = -3, 5*t + 5*v = 7 + 23. Let d(l) = -2*l**3 - l**2 + l. Let z(x) = t*d(x) - g(x). Factor z(s).
s*(s - 12)*(s - 1)
Let k(o)