 + 12012 = 0. Let d = 932 - u. Factor -d*w + 0 + 7/2*w**3 - 4*w**2 - 1/2*w**4.
-w*(w - 4)**2*(w + 1)/2
Let n be 1/(-11) - (-30304)/(-32560). Let d = 60/37 + n. Factor 3/5 - 3/5*q**2 + d*q**3 - 3/5*q.
3*(q - 1)**2*(q + 1)/5
Let m = -1637 - -3291. Let x = -14864/9 + m. Factor x*d**4 - 16/9*d + 0 + 50/9*d**2 - 6*d**3 - 2/9*d**5.
-2*d*(d - 8)*(d - 1)**3/9
Let b be 132 + (-4 - (-9 + 3)). Let d = b + -401/3. Find q such that 2/3 + q**3 - 1/3*q**4 - d*q**2 - q = 0.
-1, 1, 2
Let k(w) be the second derivative of 2*w**6/15 - 68*w**5/5 + 65*w**4 + 8*w**3/3 - 520*w**2 - 3317*w. What is l in k(l) = 0?
-1, 2, 65
Suppose 0 = 44*i + 553 - 685. Let u(o) be the first derivative of -24/5*o**2 + 16 - 4/5*o**i - 64/5*o - 1/20*o**4. Factor u(m).
-(m + 4)**3/5
Let c be (2/(-6))/((-226)/(-17628)). Let b be 6 - ((-299)/c - 6). Factor 2*w**2 + 3/2*w + 0 + b*w**3.
w*(w + 1)*(w + 3)/2
Determine u so that 184/5*u - 2/5*u**4 + 54/5*u**3 - 192/5*u**2 + 0 = 0.
0, 2, 23
Let u(n) = 3759*n**2 - 572*n + 4. Let q(x) = 1883*x**2 - 286*x + 2. Let d(h) = -14*q(h) + 6*u(h). Solve d(g) = 0.
1/136, 1/7
Let p be 3*(4/6 - 0). Let d be (1 + -1 - -3)/(43/344). What is h in d - 23*h - 35*h - 3*h**p + 52*h = 0?
-4, 2
Let s(n) be the second derivative of n**6/105 - n**5/5 - 31*n**4/42 + 260*n**3/21 - 300*n**2/7 - 987*n. Solve s(f) = 0 for f.
-5, 2, 15
Let f = -1028 - -1016. Let b be (-76)/f - 7 - -2. Factor b*m**3 + 0 + 8/3*m - 4*m**2.
4*m*(m - 2)*(m - 1)/3
Let r(c) = 2*c**2 - 3*c + 4*c - c**2. Let j(l) = 5*l**3 - 5*l**2 - l. Let v = -6074 + 6086. Let o(i) = v*r(i) - 4*j(i). Factor o(g).
-4*g*(g - 2)*(5*g + 2)
Let y(t) be the third derivative of -t**6/1440 + t**5/240 + 5*t**4/32 + 67*t**3/6 - 143*t**2. Let n(c) be the first derivative of y(c). Factor n(v).
-(v - 5)*(v + 3)/4
Suppose 902 = -2*u - 54. Let b = 3348/7 + u. Solve 0 - b*l**3 + 2/7*l + 2/7*l**2 - 2/7*l**4 = 0 for l.
-1, 0, 1
Suppose -2768*l = -2797*l + 58. Factor -4/3*w**l + 1 - 1/3*w.
-(w + 1)*(4*w - 3)/3
Factor -70*x - 13*x**2 - 492*x + 142*x + 2*x**3 - x**3.
x*(x - 28)*(x + 15)
Let h(b) be the second derivative of -5*b**7/42 + 22*b**6/3 - 92*b**5 - 3760*b**4/3 + 5120*b**3 + 92160*b**2 + 1536*b. Let h(s) = 0. Calculate s.
-4, 4, 24
Let t = 1/181754 - -727009/1272278. Factor 30/7*d + 0 - 2/7*d**3 + t*d**2.
-2*d*(d - 5)*(d + 3)/7
Find u, given that -15*u + 120 - 22*u**2 - 328271*u**3 + 328287*u**3 - 49*u - 2*u**4 = 0.
-2, 2, 3, 5
Let c(w) = 14*w**2 + 140*w + 1064. Let d(k) = 5*k**2 + 47*k + 350. Let o(p) = 4*c(p) - 11*d(p). Factor o(a).
(a + 14)*(a + 29)
Let g(y) be the third derivative of -2*y - 1/10*y**6 - 8*y**2 + 9/5*y**5 + 5*y**3 + 39/8*y**4 + 0. Suppose g(s) = 0. Calculate s.
-1/2, 10
Let j(p) be the third derivative of p**7/420 + p**6/24 + 7*p**5/120 - 3*p**4/8 - 52*p**2 + 4. What is k in j(k) = 0?
-9, -2, 0, 1
Let u(s) be the first derivative of -s**4/11 - 7*s**3/11 - 9*s**2/11 + 88*s - 102. Let n(d) be the first derivative of u(d). Suppose n(z) = 0. What is z?
-3, -1/2
Let n(t) be the second derivative of t**6/90 - 11*t**5/30 + 157*t**4/36 - 22*t**3 + 54*t**2 + 259*t - 5. Let n(a) = 0. Calculate a.
2, 9
Solve 3 - 13*w**3 + 4*w**5 - 3 - 56*w**4 - 50*w**3 + 3*w**3 = 0 for w.
-1, 0, 15
Let i(t) = t**2 + 8*t + 3. Let j be i(-10). Suppose -3*u - 16 = 3*r - 5*r, 4*u + j = 3*r. Factor 10/3*g**4 + 0 + 0*g**2 + 0*g + 4/3*g**3 + 4/3*g**r.
2*g**3*(g + 2)*(2*g + 1)/3
Let r(y) be the third derivative of 0*y - 152*y**2 + 2/3*y**3 - 13/24*y**4 + 1/4*y**5 + 1/210*y**7 - 7/120*y**6 + 0. Factor r(o).
(o - 4)*(o - 1)**3
Let h = 1649105/7 - 235213. Let b = 376 - h. Find u, given that 12/7*u**2 + 12/7*u**3 - b*u + 6/7*u**5 - 18/7*u**4 + 6/7 = 0.
-1, 1
Let v(r) be the second derivative of -4*r**2 - 2/3*r**6 - 13*r - 2*r**3 + 0 + 3/5*r**5 + 7/3*r**4. Let v(p) = 0. What is p?
-1, -2/5, 1
Let f = 2041441/5 - 408288. What is l in -6/5*l**2 + 9/5*l + 14/5 - f*l**3 = 0?
-7, -1, 2
Let i = 2465/294 + -370/49. Let n(f) be the first derivative of -26/9*f**3 - 1/9*f**6 + 22 - 9/4*f**4 - 11/6*f**2 - i*f**5 - 1/2*f. Let n(v) = 0. What is v?
-3, -1, -1/4
Suppose 0*g = -17*g + 1564. Let y be g/20 - (0 + (-12)/(-4)). Determine m so that y + 2/5*m**5 + 14/5*m**3 - 16/5*m - 2*m**4 + 2/5*m**2 = 0.
-1, 1, 2
Suppose 3*b = 4*s + 10, 2*s - 20 = -b - 0*s. Suppose -b*c + 5*c - 5*c**2 + 10 - 4*c + 4*c**2 = 0. Calculate c.
-10, 1
Let j(f) be the second derivative of -f**8/1344 - f**7/168 + f**6/80 + 149*f**2/2 - 139*f. Let q(d) be the first derivative of j(d). What is i in q(i) = 0?
-6, 0, 1
Let l = 1522 - 1561. Let d be (3/4)/(l/(-104)*4). What is k in 0*k**3 + 0*k + d*k**4 - k**2 + 1/2 = 0?
-1, 1
Let z(f) be the third derivative of f**8/50400 + f**7/1575 - f**6/200 - 25*f**5/12 - 144*f**2. Let d(l) be the third derivative of z(l). Solve d(w) = 0.
-9, 1
Let m(s) be the first derivative of -s**3 - 423*s**2/2 - 1242*s - 2738. Determine g, given that m(g) = 0.
-138, -3
Suppose -185*g**2 - 193*g**2 - 18*g**2 - 5*g**3 - 15*g**2 - 194*g**2 = 0. Calculate g.
-121, 0
Let i(z) be the third derivative of z**6/20 - 1687*z**5/15 + 5617*z**4/12 - 2246*z**3/3 - 2*z**2 - z - 647. Factor i(d).
2*(d - 1123)*(d - 1)*(3*d - 2)
Let f be (-2)/8*1 + -1 - 160950/(-32190). Factor f*q**2 - 3/4*q**3 + 0*q + 0.
-3*q**2*(q - 5)/4
Let c(l) be the first derivative of -l**4/20 + 23*l**3/15 - 14*l**2 + 196*l/5 - 10996. Factor c(j).
-(j - 14)*(j - 7)*(j - 2)/5
Factor 1768/5*t + 195364/5 + 4/5*t**2.
4*(t + 221)**2/5
Let o(r) be the second derivative of -11/3*r**3 - 4*r + 7/12*r**4 + 3/2*r**2 - 12. Factor o(l).
(l - 3)*(7*l - 1)
Let m(c) = 2*c**2 - 240*c + 3600. Let k = -259 + 262. Let x(q) = -q**2 + 240*q - 3600. Let u(s) = k*m(s) + 2*x(s). Find t, given that u(t) = 0.
30
Let g(o) = 662*o**2 + 1320*o + 664. Let i(y) = -y**3 + 662*y**2 + 1321*y + 667. Let w(l) = -6*g(l) + 4*i(l). Factor w(d).
-4*(d + 1)**2*(d + 329)
Factor 6183*r - 6469*r - 2*r**2 + 287 + r**2.
-(r - 1)*(r + 287)
Solve 122/9*z**3 - 46/9*z**4 + 8/3 + 16/9*z - 122/9*z**2 + 2/3*z**5 = 0.
-1/3, 1, 2, 3
Let f(s) be the third derivative of -s**4/24 - s**3/6 + 18*s**2 + s. Let u(x) = 15*x**4 - 5*x**3 - 10*x**2 - 5*x - 5. Let g(w) = -5*f(w) + u(w). Factor g(k).
5*k**2*(k - 1)*(3*k + 2)
Factor -8/5*y**2 + 90 - 22/5*y.
-2*(y + 9)*(4*y - 25)/5
Let q = 2983/12004 - -9/6002. Factor 7/4*b + 5/4*b**3 + q*b**4 + 0 - 13/4*b**2.
b*(b - 1)**2*(b + 7)/4
Let w(l) be the second derivative of 0 + 7/36*l**3 - 5/72*l**4 + 1/120*l**5 - 1/4*l**2 + 32*l. Factor w(u).
(u - 3)*(u - 1)**2/6
Let n(l) be the first derivative of 9*l**4 - 1900*l**3/3 - 652*l**2/3 + 1696*l/3 - 3029. Let n(z) = 0. What is z?
-2/3, 4/9, 53
Let f(p) be the second derivative of 5*p**7/6 - 67*p**6/6 + 111*p**5/2 - 225*p**4/2 + 45*p**3/2 + 405*p**2/2 - 5*p - 2. Factor f(w).
5*(w - 3)**3*(w - 1)*(7*w + 3)
Let g(w) be the second derivative of -w**6/45 - 25*w**5/18 + 173*w**4/54 + 41*w**3/27 - 86*w**2/9 - 1556*w. Solve g(u) = 0.
-43, -2/3, 1
Let g be ((-2226)/60 + 2)*147/279. Let y = -105/62 - g. Factor -3/5 - 24/5*m - 12/5*m**5 - 66/5*m**2 - y*m**3 - 51/5*m**4.
-3*(m + 1)**4*(4*m + 1)/5
Let q be 17/(-68) + ((-10584)/(-96) - 14). Suppose q*k**4 - 2/3*k**2 + 8/3 - 27*k**5 - 265/3*k**3 + 52/3*k = 0. Calculate k.
-2/9, 1, 2
Let j(r) be the third derivative of 1/60*r**5 + 0*r**3 - 9*r**2 + 0*r**6 + 0*r + 0*r**4 - 1/210*r**7 + 1. Find s such that j(s) = 0.
-1, 0, 1
Let d = 73 - 23. What is h in -41*h**2 + h**2 + 0*h**5 - d*h**4 + 24 + 4*h**5 - 4*h + 66*h**4 = 0?
-3, -2, -1, 1
Let y(q) be the first derivative of 237 + 11/3*q**2 + 1/9*q**3 - 23/3*q. Find g, given that y(g) = 0.
-23, 1
Let 16538*y**2 + 14283*y**2 - 21904*y - 9208*y**2 - 301*y**2 + 588*y**3 + 4*y**4 = 0. What is y?
-74, 0, 1
Suppose -2*p + 153 = -3*b, -b + 2*b + 159 = 2*p. Suppose 32*n - 5*n = p. Suppose -n*s**2 + 22/5*s**3 + 4/5 - 12/5*s + 21/5*s**4 = 0. Calculate s.
-1, 2/7, 2/3
Let y(k) = -297*k + 8109. Let t(p) = p**2 - 302*p + 8110. Let s(h) = -3*t(h) + 2*y(h). Factor s(i).
-3*(i - 52)**2
Factor 3*s**2 - 204 - 2544/5*s.
3*(s - 170)*(5*s + 2)/5
Suppose -9 = 2*l + 5*m, -l - 3*l + 2*m + 18 = 0. Suppose 34*d**l - 69*d**4 - 40*d + 134*d**4 - 5*d**2 - 60*d**4 + 6*d**3 = 0. What is d?
-8, -1, 0, 1
Let x(h) be the first derivative of h**5/90 - h**4/4 + 2*h**3 + h**2/2 - 8*h + 64. Let n(j) be the second derivative of x(j). Solve n(l) = 0.
3