Let s(q) be the third derivative of 1/10*q**5 + 1/6*q**4 + q**2 - 29*q + 0*q**3 + 0. Factor s(b).
2*b*(3*b + 2)
Let r(x) be the second derivative of 18/5*x**5 + 37*x + 18*x**2 + 2/5*x**6 + 21/4*x**4 - 41/2*x**3 + 0. Determine s so that r(s) = 0.
-4, -3, 1/2
Determine o so that 0 - 2045/3*o + 1/3*o**2 = 0.
0, 2045
Suppose -9 = -2*v + 3*k, -5*v + 5*k + 15 = -2*v. Suppose 7*a = 154 - v. Determine b, given that 152*b**4 - 2*b**3 + 16*b**5 - 186*b**4 + a*b**3 - 2*b**2 = 0.
0, 1/8, 1
Factor 0 + 1311/5*h**2 - 264*h**3 - 327/5*h + 12/5*h**4.
3*h*(h - 109)*(2*h - 1)**2/5
Let d(w) = -17*w**3 + 17*w**2 - 10*w + 8. Let v(f) = -16*f**3 + 19*f**2 - 11*f + 7. Let p(o) = 7*d(o) - 8*v(o). Let p(a) = 0. What is a?
0, 2/3, 3
Let h(g) = -4*g**4 + 23*g**3 + 46*g**2 + 25*g - 6. Let q(x) = 30*x**4 - 183*x**3 - 368*x**2 - 201*x + 46. Let i(k) = 46*h(k) + 6*q(k). Factor i(m).
-4*m*(m + 1)*(m + 2)*(m + 7)
Let 2*b**2 + 1827422*b + 2*b**2 - 2256 - 1825170*b = 0. What is b?
-564, 1
Let g = -179 - -307. Let x = g - 110. Let 4/3*f**2 - 56/3*f**5 + 0 + 2*f**3 - x*f**4 + 0*f = 0. What is f?
-1, -1/4, 0, 2/7
Let p(o) be the third derivative of o**7/420 + o**6/20 + o**5/4 - 25*o**4/12 + 29*o**3/3 + o**2. Let l(f) be the first derivative of p(f). Factor l(c).
2*(c - 1)*(c + 5)**2
Let w(i) = -2*i + 27. Let g be w(11). Let f be (-1 - 0/(-8)) + g. Factor -8/3*r**f + 0 + 10/3*r**3 + 0*r - 4/3*r**2 + 2/3*r**5.
2*r**2*(r - 2)*(r - 1)**2/3
Let y(u) be the third derivative of -37/120*u**4 + 2*u**2 + 31/300*u**5 + 0 + 3/10*u**3 + 0*u - 1/200*u**6. Factor y(d).
-(d - 9)*(d - 1)*(3*d - 1)/5
Let z be (7 + 0)*1/7*2. Factor -19*h + 2*h**2 - 3*h**z + 2*h + 3*h.
-h*(h + 14)
Let 2*x**4 - 146*x - 54*x**2 - 404*x + 33*x**3 - 1071*x - 4536 + x**4 + x = 0. Calculate x.
-6, 7
Let s(k) be the third derivative of -k**8/84 - 2*k**7/63 + 59*k**6/1080 + 29*k**5/270 - 23*k**4/216 + k**3/27 + 5*k**2 + 804. What is q in s(q) = 0?
-2, -1, 1/6, 1
Let z = -88 + 90. Suppose -22*r = -46 + z. Determine b, given that -2 + 1/2*b**3 - 5/2*b**r + 4*b = 0.
1, 2
Let u(a) be the first derivative of 2*a**5/55 + 4*a**4 + 1610*a**3/33 + 1950*a**2/11 - 3417. Let u(r) = 0. What is r?
-78, -5, 0
Suppose -5*j - 2*s = -25, -j = -15*s + 19*s - 5. Find r, given that r**4 + 33*r**5 - 4*r**4 + 20*r**3 - 36*r**j - 5*r**3 - 9*r**2 = 0.
-3, 0, 1
Suppose 15 = -2*k + 35. Let p = k - -17. Factor -12*d**3 + p*d**2 + 29*d**2 + 26*d**2 - 79*d**2.
-3*d**2*(4*d - 1)
Let h(v) = 61*v**3 + 2*v**2 + 3*v - 7. Let f be h(2). Let o be (-7812)/f - -16 - 2/(-11). Factor 14*p - 26/5*p**2 + o*p**3 + 98/5.
2*(p - 7)**2*(p + 1)/5
Suppose 2*p = -l + 44, -l + 38*p - 37*p + 53 = 0. Suppose 45*w = 40 + l. Factor -1/4*q**4 - 1/2*q**3 + q**w + 2*q + 0.
-q*(q - 2)*(q + 2)**2/4
Let c(t) be the third derivative of t**6/108 - 73*t**5/270 - 25*t**4/9 - 4*t**3 - 3429*t**2. Let c(p) = 0. What is p?
-3, -2/5, 18
Let t = -35 - -47. Suppose 5*b + 8 = k, -3*k + 4*b - 30 = -5*k. Factor -t*a**2 - 23 - 4*a**2 - 15*a**3 + 12 - 4*a**4 - 3*a + k.
-(a + 1)**2*(a + 2)*(4*a - 1)
Let g(m) = 5*m**3 + 67*m**2 + 80*m + 16. Suppose 18*b + 31 = -5. Let r(a) = -4*a**3 - 68*a**2 - 83*a - 16. Let p(w) = b*r(w) - 3*g(w). Factor p(n).
-(n + 1)*(n + 8)*(7*n + 2)
Suppose 0*s + 10*s - 80 = 0. Factor -2*a**4 - 8*a**2 + 4*a**4 + s*a + 122 - 2*a**3 - 122.
2*a*(a - 2)*(a - 1)*(a + 2)
Factor 24*i - 1/3*i**2 - 69.
-(i - 69)*(i - 3)/3
Suppose p + 3*m = -3*p + 12, 4*m = -5*p + 16. Suppose -5*n + 2*x + 9 = 0, -3*n + 6*x - 3*x = p. Factor 27*h**3 + 38*h + h**n - 16 + 42*h - 92*h**2.
4*(h - 2)*(h - 1)*(7*h - 2)
Let g(k) be the third derivative of -k**7/560 + 31*k**6/320 - 353*k**5/160 + 1757*k**4/64 - 1617*k**3/8 - k**2 + 2473. Solve g(o) = 0.
6, 7, 11
Suppose 0 = -5*c - 5*g + 1395, 3*g - 126 - 155 = -c. Find a, given that -a**2 - 206*a + 260*a - c - 451 = 0.
27
Factor 3/4*d**4 + 0 + 24*d**3 - 201/4*d**2 + 51/2*d.
3*d*(d - 1)**2*(d + 34)/4
Let 2437568*g**2 + 3*g**4 - g**5 - 18*g + 0*g - 2437583*g**2 + 7*g**3 = 0. What is g?
-2, -1, 0, 3
Let f(a) be the second derivative of -1/56*a**7 + 0 + 3/4*a**2 - 1/4*a**4 + 3/40*a**5 - 1/8*a**3 + 1/20*a**6 + 192*a. Determine p so that f(p) = 0.
-1, 1, 2
Solve -128/5*u**2 + 2/5*u**3 - 264/5*u + 0 = 0 for u.
-2, 0, 66
Let a = 9 - 3. Suppose 2*v = -a*g + 4*g - 6, -2*v = 4*g + 12. Let 3/4*b**2 + v + 3/2*b = 0. What is b?
-2, 0
Let x = 426005 + -426002. Let 47/2*k**2 + 60*k + 225/4 + 1/4*k**4 + 4*k**x = 0. Calculate k.
-5, -3
Find l such that 4690*l**3 - 37*l**4 + 0*l**5 + 37*l**2 - l**5 - 4689*l**3 = 0.
-37, -1, 0, 1
Let g(q) be the third derivative of q**6/10 + 3773*q**5/20 - 2833*q**4/8 - 472*q**3 + 6735*q**2. Factor g(i).
3*(i - 1)*(i + 944)*(4*i + 1)
Suppose 2*w - 14 = 0, 2*a - 2*w - 167 = -175. What is s in 2/9*s**5 - 4/9*s**4 + 0*s**a + 0*s**2 + 0 + 0*s = 0?
0, 2
Let w be -9*((-18)/(918/(-493)) + 5*-2). Suppose 5*i - 20 = -5*y, 0 = -i + 2*y - 2. Let i*v**4 - 3/2*v**w + 0 + 1/4*v + 0*v**2 - 3/4*v**5 = 0. What is v?
-1/3, 0, 1
Suppose 67 = -5*o + 82. Determine f, given that -14*f**o + 33*f + 648*f**4 - 650*f**4 - 9*f - 8*f**2 = 0.
-6, -2, 0, 1
Let l(p) = p**3 + 22*p**2 - 32*p - 16. Let o be l(-16). Let b = o + -2026. Find u, given that -9*u**4 - 3/2*u**5 + 27/2*u + 3*u**2 - 12*u**3 + b = 0.
-4, -1, 1
Let w(n) be the second derivative of 5*n**7/42 + 7*n**6 + 79*n**5/4 - 35*n**4/2 - 200*n**3/3 - 6006*n. Suppose w(h) = 0. Calculate h.
-40, -2, -1, 0, 1
Let o(u) be the first derivative of 3/20*u**4 + 0*u**3 + 3/25*u**5 + 8 + 1/50*u**6 + 15*u + 0*u**2. Let l(i) be the first derivative of o(i). Factor l(f).
3*f**2*(f + 1)*(f + 3)/5
Let p(u) be the third derivative of -u**5/160 + u**4/64 + 3*u**3/8 + 29*u**2 - 1. Determine h, given that p(h) = 0.
-2, 3
Factor 5*d**2 + 507*d - 1302*d + 300 + 20*d**3 - 20*d**3 - 27*d**3 + 277*d**2.
-3*(d - 5)**2*(9*d - 4)
Let l be (-3100)/(-868) - (-180256)/14. Find h, given that l*h**3 + 446631/2*h + 3/2*h**5 - 235956*h**2 - 240*h**4 + 0 = 0.
0, 1, 53
Let q(t) be the second derivative of -t**4/10 + 136*t**3/5 - 13872*t**2/5 - 10*t + 128. Factor q(c).
-6*(c - 68)**2/5
Let u(b) be the first derivative of -4*b**5/5 + 16*b**4 - 52*b**3/3 - 60*b**2 + 3225. Let u(j) = 0. Calculate j.
-1, 0, 2, 15
Let i be 78/(-11)*264/(-72). Let o(t) be the first derivative of 6 + 48/5*t**5 - 32*t**4 + i*t**2 + 24*t - 68/3*t**3. Suppose o(c) = 0. Calculate c.
-1/2, 2/3, 3
Let a(u) = 35*u**2 - 6160*u - 12145. Let w(d) = 3*d**2 - 560*d - 1104. Let k(b) = -4*a(b) + 45*w(b). Factor k(x).
-5*(x + 2)*(x + 110)
Let h(q) = -2*q**2 - 294*q + 5250. Let c be h(-163). Let z(x) be the second derivative of 1/36*x**4 + 0 + 13/9*x**3 + c*x + 169/6*x**2. Factor z(d).
(d + 13)**2/3
Let k be 18/(-10)*(19 - 7336/384). Let m(u) be the second derivative of 0 + 3/4*u**2 + k*u**4 - 5/8*u**3 - 1/40*u**6 + 3/80*u**5 - 3*u. Factor m(q).
-3*(q - 1)**3*(q + 2)/4
Let p(c) be the second derivative of c**6/30 - 32*c**5/5 + 244*c**4/3 - 320*c**3 + 1970*c. Factor p(v).
v*(v - 120)*(v - 4)**2
Solve 331776/7 - 2304/7*f + 4/7*f**2 = 0 for f.
288
Suppose 3*g + 10 = -4*z, 3*z + 4 = 2*z. Solve 45*a - 17*a**2 + 5*a**3 - a**2 - 12*a**g = 0.
0, 3
Let n(i) = 6*i**2 + 6*i - 6. Let y(l) = l**2 + l. Let x(v) = v - 42. Let g be x(0). Let p = g + 45. Let d(r) = p*y(r) - n(r). Factor d(b).
-3*(b - 1)*(b + 2)
Let p = -35 - -131. Let z = p + -88. Factor -16*r**2 + 20*r**2 - z - 3*r**2 - 4*r + 2*r.
(r - 4)*(r + 2)
Let b = 4845 - 4837. Let a(s) be the first derivative of -2/3*s**3 + 21 + b*s + 3*s**2. Factor a(h).
-2*(h - 4)*(h + 1)
Let x(v) be the second derivative of -3*v**5/4 + 18*v**4 - 93*v**3/2 + 39*v**2 + 5*v - 27. Solve x(q) = 0.
2/5, 1, 13
Let n(z) = 15*z + 169. Let q be n(-10). Let o(b) be the first derivative of -20/3*b**3 - 16*b**2 - 16*b + q - b**4. Solve o(r) = 0 for r.
-2, -1
Let r = 0 - 13. Let h = 16 + r. Factor 6*q**h + 15 - 3 - 24*q + 1066*q**2 - 3*q**4 - 1057*q**2.
-3*(q - 2)*(q - 1)**2*(q + 2)
Let u(y) be the first derivative of -y**6/45 - y**5/5 - 11*y**4/18 - 2*y**3/3 - 25*y + 15. Let s(l) be the first derivative of u(l). Let s(q) = 0. Calculate q.
-3, -2, -1, 0
Factor 606/7 - 95/7*v - 1/7*v**2.
-(v - 6)*(v + 101)/7
Let x = -28 - -30. Suppose -5*p + 560 = 3*p. What is d in -24*d + 36*d**3 - 82*d**4 - x + 9*d**2 - 7 + p*d**4 = 0?
-1/2, 1, 3
Suppose 2*a - 54 = -5*q, -8*q + 3*q + 51 = 3*a. Let 