j - 9/4*j**p = 0 for j.
1/3, 1, 3
Let o(h) be the third derivative of -1/40*h**5 + 0*h**3 + 1/48*h**6 + 0*h**4 + 0 - 1/672*h**8 + 108*h**2 - 1/420*h**7 + 0*h. Factor o(l).
-l**2*(l - 1)**2*(l + 3)/2
Let j = 667/15 + -221/5. Let q = -6877 - -103159/15. Let -2/15*x**3 + q + 2/15*x - j*x**2 = 0. What is x?
-2, -1, 1
Let l = -418 + 420. Factor -268 - 1904*p + 24 + 6*p**l + 2266*p.
2*(p + 61)*(3*p - 2)
Let 720/11*c - 2/11*c**2 + 0 = 0. Calculate c.
0, 360
Suppose -w - 1 = -3*u, -79*u + 74*u = 2*w - 20. Factor 4*m**4 - 4*m**4 + 2*m**5 + 172*m**2 - 6*m**3 - 168*m**u.
2*m**2*(m - 1)**2*(m + 2)
Let j = -11 - -11. Let h be -4 + (6 + j - -1). Factor -t**4 - 4*t**h + 8 - 7*t**2 - 4*t**3 - 4*t + t**2 + 13*t**3.
-(t - 2)**3*(t + 1)
Let z = 109570/12651 + 24/4217. Factor -z*i - 2/3*i**3 - 16/3*i**2 - 4.
-2*(i + 1)**2*(i + 6)/3
Let q(w) be the third derivative of -w**7/840 - w**6/24 + 19*w**5/24 + 5*w**4/24 - 63*w**3/8 - 2337*w**2 + w. Suppose q(x) = 0. Calculate x.
-27, -1, 1, 7
Let j = -690 - -718. Let h be 8/10 - j/35. Factor -1/5*g**2 + h - 3/5*g**3 + 0*g.
-g**2*(3*g + 1)/5
Let k(t) = 2*t - 31. Suppose 10*y = 5*y + 85. Let b be k(y). Factor -7 + 6*h**2 + 3*h**2 + b*h**2 - 32*h - 5.
4*(h - 3)*(3*h + 1)
Find g such that -817/5*g**3 + 814/5 + 1/5*g**4 - 2443/5*g + 489*g**2 = 0.
1, 814
Let n(c) be the third derivative of 1849*c**8/84 + 1634*c**7/21 + 1456*c**6/15 + 676*c**5/15 + 2*c**2 - 8*c - 6. Factor n(s).
4*s**2*(s + 1)*(43*s + 26)**2
Let p(w) be the third derivative of 3*w**6/100 - 7*w**5/25 + 16*w**4/15 - 32*w**3/15 + w**2 + 156*w. Suppose p(j) = 0. What is j?
4/3, 2
Suppose 5*r = 2*r. Suppose -u + 1 = 5*c - 17, -5*u - 5*c + 30 = r. Let 0*g - 32*g**4 + 30*g**2 - 7*g - 48*g**u + 0*g + 3*g = 0. Calculate g.
-2, 0, 1/4
Let w = 4532 + -13595/3. Let f(d) be the second derivative of w*d**2 + 7/27*d**3 + 0 - 16*d + 1/27*d**4. Suppose f(b) = 0. What is b?
-3, -1/2
Find w, given that -624/7 - 2/7*w**2 + 94/7*w = 0.
8, 39
Factor 528*x - 4397*x**2 + 1464*x**2 + 1466*x**2 + 1469*x**2 - 530.
2*(x - 1)*(x + 265)
Let n(d) be the first derivative of 0*d - 93 + 0*d**2 + 1/2*d**4 - 4*d**3. Factor n(l).
2*l**2*(l - 6)
Let t(x) be the second derivative of -49/30*x**5 - 181*x - 2/3*x**2 + 0 - 11/9*x**3 + 5/2*x**4 + 17/45*x**6. Factor t(y).
2*(y - 1)**3*(17*y + 2)/3
Let g be (2 - (-56308)/(-77)) + -3. Let b = -731 - g. Factor -2/11 - 20/11*f**2 + b*f.
-2*(2*f - 1)*(5*f - 1)/11
Let z(a) be the third derivative of -1/25*a**5 + 0*a**4 + 1/560*a**8 + 241*a**2 - 1/70*a**7 + 1/25*a**6 + 0*a + 0 + 0*a**3. Suppose z(f) = 0. Calculate f.
0, 1, 2
Suppose -4*c = -0*c - 100. Let o = c + -15. Solve p + 3*p**2 + o*p - 14*p + 0*p = 0 for p.
0, 1
Let z be 4/(-2*24) + 5 + 115/(-60). Determine j so that 3/2*j + 1/2*j**z + 9/2 - 5/2*j**2 = 0.
-1, 3
Let u(k) be the first derivative of -4/3*k**3 + 1/6*k**4 + 38 - 16/3*k - 5*k**2. Determine h, given that u(h) = 0.
-1, 8
Let y = 905/1446 + -5/5784. Let q(p) be the first derivative of 30 + 1/12*p**3 - y*p**2 + 3/2*p. Let q(t) = 0. Calculate t.
2, 3
Let z(p) = -2*p**3 + 13*p**2 - 4*p - 11. Let a be z(6). Factor 5 + 8*s**2 - 9*s + 7*s**3 - 4*s - 8*s**3 + a.
-(s - 6)*(s - 1)**2
Let y be -6 + ((-4)/10 + (-86304)/(-11310))*1. Factor 14/13*a + y - 2/13*a**2.
-2*(a - 8)*(a + 1)/13
Suppose 0 = -14*y + 276 + 60. Let x be (-93)/(-45) + y/72. Factor -3/5*g**3 - x*g**2 + 9/5*g + 54/5.
-3*(g - 2)*(g + 3)**2/5
Let z be ((-9)/42)/(6/(-21))*4. Let t(f) be the first derivative of -f + 15*f**4 - 17*f**4 - 7 + 4*f**3 - z*f. Let t(v) = 0. Calculate v.
-1/2, 1
Factor -483 - 687 + 2*g**2 + g**2 - 96*g + 675*g.
3*(g - 2)*(g + 195)
Let c = -31062 + 155314/5. Factor 2/5*t**4 - 2/5*t**2 - c*t + 0 + 4/5*t**3.
2*t*(t - 1)*(t + 1)*(t + 2)/5
Let g(b) be the first derivative of -b**5/15 + 2*b**4/9 - 2*b**3/9 - 6*b**2 - 46. Let k(i) be the second derivative of g(i). Suppose k(d) = 0. Calculate d.
1/3, 1
Let t(u) = u**2 + 103*u - 1633. Let b be t(14). Factor 0 - 3/5*f**4 + 3/5*f**3 + 0*f + 1/5*f**b - 1/5*f**2.
f**2*(f - 1)**3/5
Let c(a) be the third derivative of -a**4 - a**2 + 7*a + 0 - 1/20*a**5 + 0*a**3. Let c(o) = 0. What is o?
-8, 0
Let u(a) be the second derivative of 2/21*a**7 + 14/3*a**4 + 0 - 8/15*a**6 + 150*a - 40/3*a**3 + 1/5*a**5 + 16*a**2. Solve u(r) = 0.
-2, 1, 2
Let t(d) be the first derivative of -2*d**3/21 - 18*d**2/7 - 16*d + 2289. Find j such that t(j) = 0.
-14, -4
Let q(r) be the second derivative of 56*r + 1/6*r**4 + 2 + 15/17*r**2 + 31/51*r**3 + 1/170*r**5. Find w, given that q(w) = 0.
-15, -1
Let u = -6967/2040 + 178/51. Let x(q) be the third derivative of 0 + u*q**5 + 1/4*q**4 + 0*q + q**2 + 1/3*q**3. Let x(y) = 0. What is y?
-2/3
Let y = 84451 + -84449. Solve -s**3 + s - 1/3*s**4 + 2/3 - 1/3*s**y = 0.
-2, -1, 1
Let y = -393281/2 + 196641. Factor 1/2*t**3 - y*t + 0 - 1/6*t**2 + 1/6*t**4.
t*(t - 1)*(t + 1)*(t + 3)/6
Suppose 4*m + m - 20 = 0. Suppose m*j - 31 = -23. Factor -5*u**2 - 75 - 30*u - 2*u**2 + 0*u**j + 4*u**2.
-3*(u + 5)**2
Let c be 420/(-1278) + (-12)/(-27). Let w = -1/213 + c. Factor -1/9 - 4/9*g - 2/3*g**2 - 4/9*g**3 - w*g**4.
-(g + 1)**4/9
Let s(t) be the first derivative of 4*t**5 + 23*t**4 - 180*t**3 - 1150*t**2 + 1000*t - 1001. What is c in s(c) = 0?
-5, 2/5, 5
Factor 2/5*b**5 + 212/5*b**2 + 138/5*b + 34/5 + 148/5*b**3 + 42/5*b**4.
2*(b + 1)**4*(b + 17)/5
Let v(x) be the first derivative of x**2 + 48 + 10/3*x + 1/18*x**3. Find n such that v(n) = 0.
-10, -2
Suppose -104/9 + 58/3*r - 2/9*r**4 - 10/3*r**3 - 38/9*r**2 = 0. Calculate r.
-13, -4, 1
Suppose 5*y + 0*h = h + 3, -8 = -4*y - 2*h. Let t be (4 - 6)*(-2 + y). Suppose -t*q + 4 - 4 + 3*q**2 - 2*q**2 - 3 = 0. What is q?
-1, 3
Let l(b) be the first derivative of -2*b**3 - 15*b**2/2 + 750*b - 6784. Factor l(a).
-3*(a - 10)*(2*a + 25)
Let l(f) be the second derivative of 21*f**5/20 + 17*f**4/4 + 13*f**3/2 + 9*f**2/2 + 4*f + 143. Let l(s) = 0. What is s?
-1, -3/7
Let -11*m**3 - 227*m**2 + 245*m**2 - 8*m**4 - 12*m**3 + m**5 + 12*m**3 = 0. Calculate m.
-2, 0, 1, 9
Let b = 996 + -993. Let c(l) be the first derivative of b*l + 3/4*l**4 + 3*l**3 + 9/2*l**2 - 23. Factor c(q).
3*(q + 1)**3
Let 233 - 13*o**2 + 143*o**2 + 455*o + 5*o**3 + 97 = 0. Calculate o.
-22, -3, -1
Let j = -1170 - -1168. Let q be 1/(30/(-20) - j). Factor 20/3*k - 4/3 - 3*k**q.
-(k - 2)*(9*k - 2)/3
Let y(u) = -u**2 - 13*u - 34. Let h be y(-4). Let -2*x**5 - 3*x**5 - 40*x**h + 30*x**3 + 145*x - 130*x = 0. Calculate x.
-3, 0, 1
Let j = 24945/476 - 6028/119. Let j*n**2 + 0 - 1/4*n**3 + 2*n = 0. Calculate n.
-1, 0, 8
Let s = 180120 + -180120. Factor -10/9*c**3 + 2/9*c**5 - 2/3*c**2 + 0 + s*c - 2/9*c**4.
2*c**2*(c - 3)*(c + 1)**2/9
Suppose 2*n - 70 = -20*m, 4*m = 3*m - 5*n + 77. Let 7/3 + 3/2*h + 1/6*h**m = 0. What is h?
-7, -2
Let b(l) be the first derivative of 0*l**2 - 5/3*l**4 + 26*l + 0*l**3 - 1/4*l**5 + 25. Let r(f) be the first derivative of b(f). Factor r(w).
-5*w**2*(w + 4)
Let n be 6282/(-75)*(-120)/(-9). Let i = n + 1117. Factor -i*a**3 + 0 - 6/5*a**2 - a.
-a*(a + 1)*(a + 5)/5
Let q = -165/8 + 201/8. Let v(w) be the second derivative of -q*w**2 - 1/2*w**3 + 0 - 1/20*w**5 + 5/12*w**4 - 10*w. Find d such that v(d) = 0.
-1, 3
Solve 145*u**4 - 49*u**4 + 9*u**2 - 45*u**4 - 24*u**2 + 18*u - 39*u**3 - 15*u**5 = 0.
-3/5, 0, 1, 2
Let x(n) = -n**3 - 125*n - 4492. Let m be x(-14). What is r in 10/9*r**3 + 0 - 2/9*r**4 - 2/3*r**2 - m*r = 0?
-1, 0, 3
Let d be (233/(-5))/((-52)/260). Factor -71*f**2 - 79*f**2 - d*f - 5*f**3 - 25*f**2 - 1445 - 1382*f.
-5*(f + 1)*(f + 17)**2
Let i = 118 - 113. Factor -14 + 2*w**i - 25 + 39.
2*w**5
Factor -528*q + 1/9*q**2 + 627264.
(q - 2376)**2/9
Suppose 41*b + 116 = 70*b. Let y(c) be the first derivative of 52/3*c**3 + 16*c + 4/5*c**5 - 32 + 24*c**2 + 6*c**b. Factor y(w).
4*(w + 1)**2*(w + 2)**2
Let s(y) = -5*y**2 + 1787*y - 1872. Let g(z) = 20*z**2 - 7155*z + 7485. Let l(j) = -9*g(j) - 35*s(j). Factor l(p).
-5*(p - 369)*(p - 1)
Let i = -577033 - -577033. Suppose 0 - 1/6*w**4 + 0*w**2 + i*w - 1/2*w**3 = 0. Calculate w.
-3, 0
Let i(d) = -25*d**3 + 3*d**2 + 114*d + 164. Let o(l) = 6*l**3 + 3*l**2 + l + 1. Let x(q) = i(q) + 4*o(q). Factor x(f).
-(f - 21)*(f + 2)*(f + 4)
Suppose -9 = -q + 1. Suppose x - 6*x = -q. Factor 9 - 27*t - 1 + 3*t**x + 9*t + 19.
3*(t - 3)**2
What is d in 0 - 3/5*d**2 - 1029/5*d = 0?