 so that -57*c + 0 - 3/2*c**3 - 63/2*c**2 = 0.
-19, -2, 0
Let d(j) be the first derivative of 3*j**4/4 + j**3 - 1765. Factor d(o).
3*o**2*(o + 1)
Factor 0 + 32/5*c**2 + 24/5*c + 14/5*c**3 + 2/5*c**4.
2*c*(c + 2)**2*(c + 3)/5
Suppose -15*q + 35*q = 0. Let b be 2*(q - 1)*(2 - 4). Determine n, given that 0 + 26/7*n**b + 32*n**2 - 120/7*n**3 - 128/7*n - 2/7*n**5 = 0.
0, 1, 4
Let x(s) be the first derivative of -3/5*s - 105 + 1/5*s**3 - 3/5*s**4 + 6/5*s**2. Let x(d) = 0. What is d?
-1, 1/4, 1
Factor 234 - 1210*p + 10*p**4 + 52*p**2 + 118*p**2 + 501 + 250*p**3 + 50*p**2 - 5*p**4.
5*(p - 1)**2*(p + 3)*(p + 49)
Let l = -96 + 382. Factor 66 + l*b - 479*b + 232*b + 3*b**2.
3*(b + 2)*(b + 11)
Let i(x) be the third derivative of 0*x - 1/40*x**6 - 3/20*x**5 + 39 + x**2 - 1/2*x**3 - 3/8*x**4. Factor i(p).
-3*(p + 1)**3
Let v(q) = -9*q**2 - 82*q + 511. Let j(g) be the second derivative of 7*g**4/4 + 55*g**3/2 - 1023*g**2/2 + 95*g. Let r(x) = 4*j(x) + 9*v(x). Factor r(l).
3*(l - 13)**2
Suppose -108 = 15*y + 109*y - 356. Factor 240/7*x**y + 18/7 + 138/7*x - 96/7*x**3.
-6*(x - 3)*(4*x + 1)**2/7
Let c = 323 + -317. Factor c*j**3 + 9*j + 4*j**3 - 4*j**3 - j**2 - 3*j**3 + 13*j**2.
3*j*(j + 1)*(j + 3)
Let v(a) be the third derivative of a**5/300 - 3*a**4/40 - 19*a**3/3 + 400*a**2 + 7*a. Find g such that v(g) = 0.
-10, 19
Let r be 12/(-21)*-7 + 1. Let -16*c**r - 257*c**3 - 16*c**4 + 104*c**2 - 1381 + 1397 + 108*c + 136*c**4 = 0. Calculate c.
-1/4, 2, 4
Let u(p) = 3*p**3 - 184*p**2 - 2617*p - 11242. Let t(s) = -20*s**3 + 1290*s**2 + 18320*s + 78695. Let f(l) = -8*t(l) - 55*u(l). Determine v so that f(v) = 0.
-15, -10
Let 1530/7*p**2 - 6970/7*p + 6970/7*p**3 + 18/7*p**4 - 1548/7 = 0. What is p?
-387, -1, -2/9, 1
Let v(s) = -5*s - 1. Let b(g) = g**2 - 2812*g + 2005060. Let q(i) = b(i) + 4*v(i). Factor q(d).
(d - 1416)**2
Let k = -83 + -36. Let v = -115 - k. What is x in -2*x**2 + 0*x**4 - x**2 + 3*x**v - 720*x + 6*x**3 + 714*x = 0?
-2, -1, 0, 1
Let w = -11818/65 + 2400/13. Let v be (-3)/((-13)/(-4) + -4). What is d in -w*d**v - 74/5*d**3 + 24/5*d + 64/5*d**2 + 0 = 0?
-6, -2/7, 0, 1
Let h be -21*(3 - 55/15). Let k be -10*h/(-245) + 2/21. Solve 0 + 0*m**2 + 0*m + k*m**3 = 0 for m.
0
Let b(x) be the second derivative of 13/51*x**3 - 1/170*x**5 - 1/51*x**4 + 163*x - 10/17*x**2 + 0. Let b(l) = 0. What is l?
-5, 1, 2
Let p(z) = -84*z**3 - 256*z**2 - 244*z - 40. Let y(n) = n**4 - 86*n**3 - 256*n**2 - 245*n - 50. Let m(d) = -5*p(d) + 4*y(d). Factor m(x).
4*x*(x + 2)**2*(x + 15)
Find r, given that -1/3*r**2 + 312 - 95/3*r = 0.
-104, 9
Let g = -191275 - -191275. Factor 0*z + g*z**2 + 2/3*z**3 + 2/9*z**4 + 0.
2*z**3*(z + 3)/9
Solve 3/5*p - 28/5 + 1/5*p**2 = 0.
-7, 4
Suppose -4*o - 4*q = 28, 1070*o - 1073*o + 3 = q. Factor -2401/2 - 161*u**3 - 1/2*u**o - 3773/2*u - 833*u**2 - 29/2*u**4.
-(u + 1)*(u + 7)**4/2
Let g = 12 - -2. Suppose -10*q + g + 36 = 0. Find p such that -q*p**3 - 12*p**2 + 10*p + 16*p**2 - 9*p**2 = 0.
-2, 0, 1
Suppose -1483*y + 1509*y - 78 = 0. Solve -y*i - 3/4*i**4 + 9/4*i**3 + 0 + 0*i**2 = 0.
-1, 0, 2
Let y(s) be the third derivative of 0 - 1/150*s**5 + 1/60*s**4 + 4/3*s**3 + 0*s + 78*s**2. Factor y(a).
-2*(a - 5)*(a + 4)/5
Let o(h) be the second derivative of 0*h**2 + 32/15*h**3 + 0*h**4 - 8/25*h**5 + 0*h**6 + 32 + h + 2/105*h**7. Suppose o(q) = 0. What is q?
-2, 0, 2
Let z(m) be the third derivative of m**7/5880 - m**6/60 + 7*m**5/10 + 7*m**4/24 - 2*m**2 + 25. Let c(o) be the second derivative of z(o). Factor c(v).
3*(v - 14)**2/7
Let h(i) be the third derivative of i**8/840 + 2*i**7/175 + i**6/50 - 2*i**5/15 - 13*i**4/20 - 6*i**3/5 + 5*i**2 - 155*i. Determine r so that h(r) = 0.
-3, -1, 2
Factor 335 + 0*q**2 - 363 + 3*q**2 - 262*q - 504 - q**2.
2*(q - 133)*(q + 2)
Let t(d) be the first derivative of -d**5/10 - 25*d**4/4 - 299*d**3/2 - 1700*d**2 - 9248*d - 1838. Factor t(o).
-(o + 8)**2*(o + 17)**2/2
Let r(m) be the second derivative of -2*m**7/21 + 10*m**6/3 - 34*m**5/5 - 262*m**4/3 - 634*m**3/3 - 230*m**2 - 2649*m. Suppose r(g) = 0. Calculate g.
-1, 5, 23
Let t(z) be the second derivative of 41/2*z**2 - 31*z - 5/4*z**4 + 15/2*z**3 + 0 + 1/12*z**5. Let q(g) be the first derivative of t(g). Solve q(u) = 0.
3
Let j(y) be the second derivative of -y**5/50 - 64*y**4/3 - 33919*y**3/5 + 206082*y**2/5 - 2658*y. Factor j(t).
-2*(t - 2)*(t + 321)**2/5
Suppose -150 + 248*y - 2/3*y**4 - 152/3*y**3 - 140/3*y**2 = 0. What is y?
-75, -3, 1
Let p(m) = -m**3 + 9*m**2 - 8*m + 15. Let d be p(8). Suppose c - 6*c = -d. Let -28*b - 24 - b**3 - b**4 + 12*b**2 - 3*b**4 + 5*b**3 + 8*b**c = 0. Calculate b.
-1, 2, 3
Let v = 417964 + -5433528/13. Factor 34/13*s - v - 30/13*s**2.
-2*(s - 1)*(15*s - 2)/13
Let t = -629 + 633. Let d(n) be the third derivative of 0 + 1/360*n**6 + 0*n**t + 0*n + 1/90*n**5 - 1/630*n**7 - 9*n**2 + 0*n**3. Let d(u) = 0. What is u?
-1, 0, 2
Let l be (4 - (-42)/(-9))/((-6)/3537). Let f = 396 - l. Factor 0 - 1/2*m**f - 1/2*m**2 + 1/2*m**4 + 1/2*m.
m*(m - 1)**2*(m + 1)/2
Let r = -142 - -1421/10. Let g(m) be the second derivative of 1/2*m**4 + 0*m**3 + 0 - 3/2*m**2 + 0*m**5 - r*m**6 - 2*m. Determine v, given that g(v) = 0.
-1, 1
Let g be ((-375)/25)/(-45)*12. Let r(h) be the third derivative of 0 - 1/30*h**5 + 0*h + 1/3*h**3 - 1/120*h**6 + g*h**2 + 1/24*h**4. Let r(p) = 0. Calculate p.
-2, -1, 1
Let v(g) be the second derivative of -8/135*g**6 + 116 - g + 0*g**2 + 1/9*g**5 + 2/189*g**7 - 2/27*g**4 + 0*g**3. Factor v(n).
4*n**2*(n - 2)*(n - 1)**2/9
Find x such that -2*x**5 - 54*x**4 + 126041*x**3 - 1380*x**2 - 126493*x**3 - 1040*x + 156*x**2 = 0.
-13, -10, -2, 0
Let o(z) = -5*z - 1 - z**3 + 6*z**2 + 2 + 2. Let x be o(5). Factor 12*j**3 - 20*j**x + 2*j**3 - 3*j**2 + 6*j + 3*j**3.
-3*j*(j - 1)*(j + 2)
Let p(f) = 5*f**4 - 13*f**3 + 16*f**2 - 2*f - 9. Let q(j) = -j**4 + 3*j**3 - 4*j**2 + 2. Let a(o) = -2*p(o) - 9*q(o). Factor a(x).
-x*(x - 2)*(x + 1)*(x + 2)
Factor -12*k**2 - 515*k + 7*k**2 + 276*k + 1757*k + 8*k**2 + 1515.
3*(k + 1)*(k + 505)
Let g(t) be the first derivative of -10*t**2 - 4/3*t**3 + 56*t + 51. Determine f, given that g(f) = 0.
-7, 2
Let m = 20 + -8. Let g = -421 + 455. Find t, given that -4 + 8*t**4 + 14*t - g*t + 16*t + m - 4*t**5 - 16*t**2 + 8*t**3 = 0.
-1, 1, 2
Let l(h) be the first derivative of -5*h**6/6 - 10*h**5 - 75*h**4/4 + 50*h**3/3 + 40*h**2 - 802. Suppose l(g) = 0. Calculate g.
-8, -2, -1, 0, 1
Find f, given that -1154/5*f**3 + 4148/5*f**2 - 48 + 34/5*f**4 - 3832/5*f = 0.
-1/17, 2, 30
Let d(x) be the first derivative of -x**4/2 + 18088*x**3/3 - 20448484*x**2 - 1954. Determine t so that d(t) = 0.
0, 4522
Factor -787416 - 2*t**3 + 2*t - t**4 + t**2 + 787416.
-t*(t - 1)*(t + 1)*(t + 2)
Let t(y) = -11*y - 83. Let z be t(-8). Find n such that 79*n**4 - 99*n**2 - 6*n**z + 16*n - 12 - 9*n**5 - 17 - n**3 + 49 = 0.
-1, -2/5, 2/3, 1, 5
Let h be (-10)/85 + 16160/85. Let r = h - 187. Factor -1/2*k**3 - r*k**2 - 6*k - 4.
-(k + 2)**3/2
Find a, given that 1/8*a**2 - 8*a + 78 = 0.
12, 52
Let c be 15/(-20)*56/(-21). Suppose 1 + 3*b**c + 6 + 6*b - 7 + 3*b = 0. Calculate b.
-3, 0
Let x be (-9451)/(-156) - (-12)/18. Let m = x + -3177/52. Solve -2/13*l**3 + 0 - m*l**2 + 4/13*l = 0 for l.
-2, 0, 1
Let d(b) be the first derivative of 2/25*b**5 - 4/5*b**3 - 6/5*b + 0*b**4 + 92 - 8/5*b**2. Suppose d(i) = 0. Calculate i.
-1, 3
Let u(t) = -t**2 - t - 11. Let j(w) = -2*w**4 - 156*w**3 - 1017*w**2 - 2141*w - 1201. Let q(d) = -2*j(d) - 14*u(d). Let q(i) = 0. What is i?
-71, -3, -1
Let c(b) = -b - 5. Let q(y) = -y**3 + 2*y - 7. Let a be q(0). Let d be c(a). Factor -10 - 15*o - 29*o**2 + 14*o**2 + 10*o**d.
-5*(o + 1)*(o + 2)
Let t(r) be the second derivative of r**5/5 + 167*r**4/3 - 1360*r**3/3 + 1368*r**2 + 4*r + 175. Factor t(h).
4*(h - 2)**2*(h + 171)
Let g = -1465/96 - -18539/288. Suppose -16/9*w + 8*w**4 + 506/9*w**3 - 8/3 + g*w**2 = 0. Calculate w.
-6, -1, -1/4, 2/9
Let f(z) be the first derivative of 135/4*z**2 - 27*z + 13/2*z**4 - 13 - 21*z**3 - 4/5*z**5. Find c such that f(c) = 0.
3/2, 2
Let l(a) be the first derivative of a**6/270 - 2*a**4/9 - 92*a**3/3 - 120. Let m(x) be the third derivative of l(x). Factor m(y).
4*(y - 2)*(y + 2)/3
Factor -40/7*g**2 + 4/7*g + 8/7.
-4*(2*g - 1)*(5*g + 2)/7
Suppose 0 = -52111*y + 52079*y. Suppose y - 2/15*u**2 - 4/15*u = 0. C