 3/5*l**5 + 0*l**6. Suppose t(n) = 0. Calculate n.
-1, 1, 2
Factor 147*o + 125*o + 4*o**2 - 1 + 116 + 153.
4*(o + 1)*(o + 67)
Suppose 2 + 3 = -2*k - h, 4*h - 5 = -3*k. Let n be k/(-30) + 83/6. Let -8 - 8 + n*g + 6 + g - 5*g**2 = 0. What is g?
1, 2
Let z(c) be the first derivative of -c**4/78 - 2*c**3/39 + 48*c**2/13 - 106*c + 63. Let i(f) be the first derivative of z(f). Solve i(s) = 0 for s.
-8, 6
Let u(a) be the second derivative of 0*a**2 - 4/21*a**4 + 1/70*a**5 + 16/21*a**3 - 1 - a. Factor u(c).
2*c*(c - 4)**2/7
Solve 88/3*l**3 + 0 + 0*l + 2/3*l**4 + 64*l**2 - 2/3*l**5 = 0 for l.
-4, -3, 0, 8
Let f(o) be the second derivative of -1/45*o**6 - 17*o + 1/3*o**3 + 3 + 1/30*o**5 + 5/18*o**4 + 0*o**2. Factor f(n).
-2*n*(n - 3)*(n + 1)**2/3
Determine k so that -37*k**2 + k**5 - 46638*k**4 + 46627*k**4 + 33*k**3 + 14*k + 4*k**5 - 4*k**5 = 0.
0, 1, 2, 7
Let a(d) be the second derivative of d**4/24 - 91*d**3/12 - 23*d**2 - 75*d - 6. Factor a(o).
(o - 92)*(o + 1)/2
Let q(a) be the first derivative of 110 - 25/4*a**2 + 625/4*a + 1/12*a**3. Factor q(h).
(h - 25)**2/4
Suppose 6*k - 64 = 22*k. Let l be 4/(-14)*2*14/k. Let 2*i + 10*i**2 - 8*i**2 - i**l + 0*i = 0. Calculate i.
-2, 0
Let l = 127 + -116. Let m(p) = p**3 - 7*p**2 + 10*p. Let b(q) = -2*q**3 + 13*q**2 - 18*q. Let o(c) = l*m(c) + 6*b(c). Factor o(i).
-i*(i - 2)*(i + 1)
Let y = -3656 + 138941/38. Let b = y + 163/190. Solve 0*r - b*r**3 - 9/5*r**2 + 3/5*r**4 + 0 = 0 for r.
-1, 0, 3
Let j be (6/(-168))/((-2134)/528 - -4). Factor 2/7*z**2 - j - 4/7*z.
2*(z - 3)*(z + 1)/7
Let m = 18122/75879 + -140/8431. What is c in -56/9*c + m*c**2 + 104/9 = 0?
2, 26
Let s(p) be the third derivative of -p**7/315 + 32*p**5/45 + 2473*p**2. Factor s(d).
-2*d**2*(d - 8)*(d + 8)/3
Let x = 5207/3 - 1734. Let z(l) = -l + 3. Let b be z(0). Determine a, given that 5/3*a**4 - x*a**2 + 0 - 5/3*a**b + 5/3*a = 0.
-1, 0, 1
Determine c so that 264/5*c**4 + 336/5*c**2 - 36/5*c**5 - 484/5*c**3 - 16*c + 0 = 0.
0, 2/3, 1, 5
Let s = -2524009/4 - -631011. Find c, given that 9/2*c**2 - 1/4*c**5 + 0*c + 0 + s*c**3 + 4*c**4 = 0.
-1, 0, 18
Factor 108/7*i - 306/7 - 2/7*i**2.
-2*(i - 51)*(i - 3)/7
Solve -108/7 - 4/7*k**2 + 48/7*k = 0.
3, 9
Let u = -347349/7 - -49623. Find q such that 0 - u*q + 4/7*q**3 - 2/7*q**4 + 10/7*q**2 = 0.
-2, 0, 1, 3
Let u = 3556 - 3545. Let p(g) be the third derivative of u*g**2 + 1/60*g**5 + 2/3*g**3 + 0 + 0*g - 1/3*g**4 + 1/40*g**6. Find d, given that p(d) = 0.
-2, 2/3, 1
Let c(f) = 7*f**2 - 6378*f + 2547165. Let n(z) = -20*z**2 + 19136*z - 7641512. Let w(a) = 8*c(a) + 3*n(a). Factor w(l).
-4*(l - 798)**2
Suppose 5*v = -w + 29, 4*w - 112 = 4*v - 116. Let y(r) be the first derivative of 5 - 8/3*r**3 - 1/2*r**2 + 2*r - 5/4*r**w. Solve y(h) = 0 for h.
-1, 2/5
Let c = 65084 + -65084. Factor -5/4*l**2 + c + 1/4*l + l**3.
l*(l - 1)*(4*l - 1)/4
Let w(s) be the first derivative of 98*s**5/5 + 231*s**4 - 184*s**3 + 40*s**2 + 692. Let w(q) = 0. What is q?
-10, 0, 2/7
Let x = 1140 - 1135. Let w be x/(-2)*14/(-105)*6. Suppose 81/2*v**3 + 20*v + 2 + 117/2*v**w = 0. What is v?
-1, -2/9
Suppose 0 = 3*r + 4*k - 41, 2*k + 5 + 2 = r. Determine c, given that -r*c**2 - 6*c**3 - 2*c + 30*c**4 + 17*c**2 - 28*c**4 = 0.
0, 1
Let b = -1509389/3 - -503130. Factor 1/3 + 1/3*y**3 - 1/3*y - b*y**2.
(y - 1)**2*(y + 1)/3
Let u(a) be the second derivative of a**5/130 + 7*a**4/13 - a**3/39 - 42*a**2/13 - 1501*a. Factor u(t).
2*(t - 1)*(t + 1)*(t + 42)/13
Let n(y) be the first derivative of -2*y**3/27 + 14*y**2/9 + 190*y/9 + 459. Let n(j) = 0. What is j?
-5, 19
Factor 4/9*h**3 - 364/9*h**2 - 368/9*h + 0.
4*h*(h - 92)*(h + 1)/9
Let z(f) be the first derivative of -f**4/7 + 158*f**3/21 - 39*f**2/7 - 1751. Factor z(s).
-2*s*(s - 39)*(2*s - 1)/7
Factor 3169/3*f**2 - 1504/3*f**3 - 940*f + 256/3*f**4 + 300.
(f - 2)**2*(16*f - 15)**2/3
Let m be 60 + -63 - 4335/(-105) - 38. Let n be 2/(-5) + 888/70. Factor -146/7*c**2 - 32/7 - 16*c - m*c**5 - n*c**3 - 22/7*c**4.
-2*(c + 1)**3*(c + 4)**2/7
Let b(p) = -p**2 - 19 + 16*p - 12*p + 0*p**2 - 15*p. Let i be b(-8). Factor 2*t**5 - 4*t**3 - 33*t**4 - 6*t**i - 22*t**4 + 63*t**4.
-4*t**3*(t - 1)**2
Let t = -46 + 54. Let d(s) = -73*s + 3*s**2 - s**2 + t*s**3 + 71*s. Let p(k) = k**3 - k**2 - k. Let c(b) = -d(b) + 2*p(b). Factor c(r).
-2*r**2*(3*r + 2)
Let l = -130 + 235. Let -4*f**4 + 280*f**3 - 41*f**4 - 45*f - l*f**2 + 0*f - 35*f**4 = 0. Calculate f.
-1/4, 0, 3/4, 3
Let i(k) = 5*k**2 + 4700*k - 4711. Let t(h) = 1. Let c(d) = -i(d) - 6*t(d). Factor c(x).
-5*(x - 1)*(x + 941)
Let p = -551/10 - -52921/960. Let k(b) be the third derivative of 0 - 1/12*b**3 + 0*b + 26*b**2 + p*b**4 - 1/480*b**5. Suppose k(o) = 0. What is o?
1, 4
Let j(k) be the second derivative of 1/390*k**5 + 3/13*k**3 + 0 - 1/26*k**4 - 10*k - 9*k**2. Let m(h) be the first derivative of j(h). What is i in m(i) = 0?
3
Find c, given that 85364*c**2 - 152*c - 170725*c**2 + 960 + 85365*c**2 = 0.
8, 30
Let c = -342010 - -342013. What is x in -1/4*x**c + 3/4*x**2 - 3 + x = 0?
-2, 2, 3
Let b(x) be the first derivative of -1/3*x**4 + 47 + 4/15*x**5 - 8/9*x**3 + 0*x**2 + 0*x. Suppose b(w) = 0. What is w?
-1, 0, 2
Let y = -443041/3 - -147683. Solve y*h + 16/9*h**4 + 46/9*h**3 + 2/9*h**5 + 0 + 56/9*h**2 = 0 for h.
-3, -2, -1, 0
Suppose -2*x - w = -56 + 53, 3*x = w - 3. Solve -10/7*j**3 + x + 24/7*j**2 - 8/7*j = 0 for j.
0, 2/5, 2
Let 7*w**2 + 420 - 3*w**2 + 37774*w - 37686*w = 0. Calculate w.
-15, -7
Suppose 4*u = -2*r + 30, 5*r - 9*r = 2*u - 24. Factor -3/8*k**2 + 3/8*k**4 + 0 + 3/8*k**r - 3/8*k.
3*k*(k - 1)*(k + 1)**2/8
Let h be ((-112)/20)/7*-15. What is c in 3 + 31*c + h + 17*c**2 + 297*c**3 - 296*c**3 = 0?
-15, -1
Suppose -z = 2*p - 4*p - 2, 2*p + z = 6. Let t be (33/6)/p - 1/2. Factor 5*o**3 - 3*o**3 - t*o**4 + o**2 + 6*o**4 + 0*o**3.
o**2*(o + 1)**2
Factor -21/4*j**3 + 51*j - 14*j**2 - 1/4*j**4 + 0.
-j*(j - 2)*(j + 6)*(j + 17)/4
Let a(m) = -3*m**2 - 18*m - 6. Let w be a(-8). Let k = -50 - w. Factor -27*i - 20*i**3 - 4*i**k - 32*i**2 + 30*i - 19*i.
-4*i*(i + 1)*(i + 2)**2
Let y(g) = 0 + 192*g**2 + 181*g**2 - 372*g**2 - 1. Let n(s) = -s**3 - 2*s**3 - 20*s**2 + 15 - 2*s**3. Let z(t) = -n(t) - 15*y(t). Factor z(l).
5*l**2*(l + 1)
Let f be (-232)/(-3828)*(2 + 1). Factor 0*h + 0 + f*h**2 - 14/11*h**3 + 12/11*h**4.
2*h**2*(h - 1)*(6*h - 1)/11
Let b be (6/(2 - 8))/((-1)/4). Let n(r) = 3*r - 8. Let t be n(b). Solve -26*s**2 + 45*s**2 + 3*s**3 - t*s**2 = 0 for s.
-5, 0
Factor -1/2*y**3 - 6*y**2 + 49/2*y + 30.
-(y - 4)*(y + 1)*(y + 15)/2
Let o(w) be the second derivative of -w**6/15 + 13*w**5/10 + 2*w**4 - 140*w**3/3 - 208*w**2 + w + 57. Factor o(y).
-2*(y - 13)*(y - 4)*(y + 2)**2
Let g(n) be the first derivative of -n**5/240 - 23*n**4/96 + 19*n**2/2 - 75. Let b(r) be the second derivative of g(r). Factor b(m).
-m*(m + 23)/4
Let n(t) = 5*t**2 - 1404*t + 97840. Let b(c) = -c - 40. Let w(a) = 4*b(a) - n(a). Factor w(u).
-5*(u - 140)**2
Let g(o) = -78*o**2 + 592*o + 1237. Let a(n) = -23*n**2 + 197*n + 412. Let y(u) = 7*a(u) - 2*g(u). Solve y(w) = 0.
-2, 41
Let z(h) be the second derivative of 1/6*h**6 + 0 + 5/6*h**4 + 0*h**2 + 233*h + 3/4*h**5 + 0*h**3. Factor z(b).
5*b**2*(b + 1)*(b + 2)
Find n, given that 0*n**2 + 669/4*n**4 - 135/2*n**3 + 15/4*n**5 + 0*n + 0 = 0.
-45, 0, 2/5
Let w be 22892/8536 - 5/2. Determine s, given that 10/11*s - 6/11 - 2/11*s**2 - w*s**3 = 0.
-3, 1
Let v(p) be the second derivative of 0*p**4 - 3/100*p**5 + 3/10*p**3 + 22*p - 3/5*p**2 + 1. Let v(h) = 0. Calculate h.
-2, 1
Let j(v) be the third derivative of 16*v + 1/6*v**4 + 0 + 1/15*v**5 - 1/30*v**6 + 0*v**3 - 2*v**2 - 2/105*v**7. Suppose j(f) = 0. Calculate f.
-1, 0, 1
Factor -346/13*y + 10/13*y**2 - 140/13.
2*(y - 35)*(5*y + 2)/13
Solve -3342/5*k + 5584482/5 + 1/10*k**2 = 0.
3342
Let v(t) = t**2 + 3*t - 8. Let d be v(3). Let y(l) be the first derivative of l**2 - d + 3*l - 11 + 2*l**2 + 5*l**3 - 4*l**3. Factor y(a).
3*(a + 1)**2
Let b(a) be the first derivative of -41 - 2/5*a**2 + 0*a - 4/5*a**6 + 4/3*a**3 + 7/5*a**4 - 4/5*a**5. Solve b(n) = 0.
-1, 0, 1/6, 1
Suppose -6*w + 22 = 3*k - 2*w, -3*w = -4*k + 21. Suppose 5*l - 3 = -s + 11, l - k = -s. Determine j so that 78*j - 38*j - j**l - 39*j + 6 = 0.
-2, 3
Determine s so that -776/21*s - 704/21 - 10/3*s**2 + 2/21*s**3 = 0.
-8, -1, 44
Let c b