 -2296. Factor -5/8*p + 1/8*p**2 + r.
p*(p - 5)/8
Let -3*a**4 - 56074 + a**3 + 56236 + 28*a**3 - 159*a**2 - 63*a + 34*a**3 = 0. What is a?
-1, 1, 3, 18
Let s(x) = -4*x**2 + x + 4. Let n(k) = -45*k**2 + 145*k + 40. Let j(r) = -n(r) + 10*s(r). Find m such that j(m) = 0.
0, 27
Let j(a) be the first derivative of a**4/6 + 3*a**3 + 18*a**2 - 28*a + 9. Let o(b) be the first derivative of j(b). Solve o(y) = 0 for y.
-6, -3
Suppose 4*i = -2*z - 30, -2*i - 8 = 4*z + 10. Let x be (-28 - -25) + (1 - i). Factor 48*b**x - 20*b**5 + 18*b**3 + 4*b**2 - 18*b**5 + 24*b**4.
2*b**2*(b + 1)**2*(5*b + 2)
Let j = 1457836/5 - 291518. Suppose j*a**3 + 9/5*a**4 - 2028/5 + 1716/5*a + 1821/5*a**2 = 0. Calculate a.
-13, -2, 2/3
Let q(r) be the first derivative of -1/7*r**4 - 1/105*r**5 + 2/3*r**3 + 0*r + 35 - 14*r**2. Let g(m) be the second derivative of q(m). Factor g(k).
-4*(k - 1)*(k + 7)/7
Let q = -21657/5 + 4335. Factor 582/5*a**2 - q*a**3 - 752/5*a + 248/5.
-2*(a - 31)*(3*a - 2)**2/5
Let k(p) be the second derivative of p**4/15 + 66*p**3/5 + 196*p**2/5 + 5551*p. Factor k(u).
4*(u + 1)*(u + 98)/5
Let u(y) be the first derivative of y**4 + 676*y**3 + 129030*y**2 + 256036*y + 1713. Factor u(s).
4*(s + 1)*(s + 253)**2
Factor 8/13 - 42/13*i + 10/13*i**2.
2*(i - 4)*(5*i - 1)/13
Solve -1 + 11/3*l + 11/12*l**4 + 109/12*l**2 + 16/3*l**3 = 0.
-3, -2, -1, 2/11
Suppose 4*k - 75 = -7. Let d = 20 - k. Factor 5*j**4 + j**2 + 0*j**3 - 3*j**4 - 2*j - 3*j**2 + 2*j**d.
2*j*(j - 1)*(j + 1)**2
Let i(r) be the second derivative of r**8/40320 + r**7/2520 - r**6/1080 - r**5/30 - 8*r**4 + 15*r - 1. Let w(t) be the third derivative of i(t). Factor w(y).
(y - 2)*(y + 2)*(y + 6)/6
Factor -102*n - 281*n**3 + 282*n**3 + 250*n + 144 + 40*n**2.
(n + 2)**2*(n + 36)
What is t in 28*t - 22 + 5492741*t**2 - 94 - 60 - 5492737*t**2 = 0?
-11, 4
Find u such that -2*u**2 - 65 - 548 - 15*u - 294*u + 61*u + 125 = 0.
-122, -2
Let l(p) be the third derivative of p**6/540 + 11*p**5/90 - 15*p**4/4 + 1075*p**3/27 + 95*p**2 + 8*p + 1. Factor l(z).
2*(z - 5)**2*(z + 43)/9
Suppose 5*v - 312 = v - 3*t, -217 = -3*v + 2*t. Let w be (-420)/v*(1 + -3) + -4. Let -w - 16/5*m**2 + 42/5*m + 2/5*m**3 = 0. Calculate m.
2, 3
Let q(h) be the third derivative of 845/9*h**3 + 1/72*h**5 + 65/36*h**4 - h**2 + 0*h - 29. Find f such that q(f) = 0.
-26
Suppose -8*s - 25 = -13*s. Suppose 2*m = s*k - 3*k + 12, 2*m + 3*k = -3. Suppose a**2 - 47 + m*a**2 - 52*a - 9 = 0. Calculate a.
-1, 14
Let b(z) be the first derivative of 1/140*z**5 - 15/2*z**2 - 1/7*z**4 + 18 + 0*z + 8/7*z**3. Let i(a) be the second derivative of b(a). Factor i(s).
3*(s - 4)**2/7
Let d(v) = -22*v**3 + 1859*v**2 - 531*v + 6. Let m(q) = -24*q**3 + 1858*q**2 - 530*q + 4. Let k(h) = 2*d(h) - 3*m(h). Determine g so that k(g) = 0.
0, 2/7, 66
Let m(p) be the second derivative of -p**6/540 - 2*p**5/15 - 4*p**4 + p**3/2 + 8*p - 7. Let o(k) be the second derivative of m(k). Factor o(a).
-2*(a + 12)**2/3
Suppose -4*q + 62*x + 4 = 58*x, -3 = -3*x. Factor -w - 27*w + 32 + 250*w**q - 254*w**2.
-4*(w - 1)*(w + 8)
Let u be 23014/11322 + (-10)/(-18). Solve u*b - 2/17*b**2 + 0 = 0.
0, 22
Suppose v**2 + 102 + 5392*v - 2666*v - 2673*v = 0. Calculate v.
-51, -2
Let h(r) be the third derivative of 7*r**6/600 + 37*r**5/300 + 13*r**4/30 + 2*r**3/5 + 2*r**2 - 294. Factor h(l).
(l + 2)*(l + 3)*(7*l + 2)/5
Let m(z) = 31*z**2 + 3874*z - 3736481. Let n(i) = -27*i**2 - 3873*i + 3736482. Let k(q) = 7*m(q) + 8*n(q). Factor k(h).
(h - 1933)**2
Find g, given that 269378/11 + 2/11*g**2 + 1468/11*g = 0.
-367
Determine w so that 200/11*w**5 + 0 + 144/11*w - 1132/11*w**2 - 190*w**4 + 2734/11*w**3 = 0.
0, 1/4, 2/5, 4/5, 9
Suppose 0 = 4*r + 12, 5*r - 3*r = -4*h + 6. Suppose 2*g + 5 = -4*x + 3, 0 = -5*g - h*x + 9. Factor -7*s**3 + 10*s**g - 3*s**2 - 12*s - 6*s**2.
3*s*(s - 4)*(s + 1)
Let u be 66 + -53 - -39*(-1)/3. Find g, given that 32/3*g + 8*g**2 + 4/3*g**3 + u = 0.
-4, -2, 0
Solve 2/5*r**4 + 0 + 18/5*r**2 + 0*r + 12/5*r**3 = 0 for r.
-3, 0
Let o(m) be the second derivative of -3*m**5/80 + 113*m**4/48 + 19*m**3/12 - 386*m. Solve o(w) = 0 for w.
-1/3, 0, 38
Let g(d) be the third derivative of d**7/315 - 1787*d**6/45 + 3193369*d**5/15 - 5706550403*d**4/9 + 10197605570161*d**3/9 + 6*d**2 + 651*d. Factor g(u).
2*(u - 1787)**4/3
Let r be (40/(-460))/(9/(-36)). Factor 12/23*n**3 + 2/23*n - r*n**4 - 8/23*n**2 + 2/23*n**5 + 0.
2*n*(n - 1)**4/23
Let g be (34 - 19) + -23 + 10 + -2. Factor g + 0*o - 2/21*o**3 - 2/21*o**4 + 0*o**2.
-2*o**3*(o + 1)/21
Determine d, given that 57/2*d + 117/2*d**3 - 15 + 102*d**2 = 0.
-1, 10/39
Factor 1/9*x**4 - 831503424*x + 0 + 1275312*x**2 - 652*x**3.
x*(x - 1956)**3/9
Suppose -4 = 2*a + 4*j + 2, -5*j = 3*a + 6. Let v(o) = -33*o - 96. Let k be v(-3). Factor -8 - 52*m**a + 26*m**3 - 2*m**4 + 30*m**k + 6*m**2 - 8*m.
-2*(m - 2)**2*(m + 1)**2
Let m(f) be the third derivative of f**7/35 - 7*f**6/40 + f**5/10 + 3*f**4/8 - 628*f**2. Let m(a) = 0. What is a?
-1/2, 0, 1, 3
Suppose 4405 = -3248*v + 4405. Determine t so that -t**4 + v + 15/2*t**3 - 5/2*t**5 - 2*t**2 - 2*t = 0.
-2, -2/5, 0, 1
Let r = -104290 - -104294. Factor 0*g - 1/2*g**r - 3/2*g**3 + 0*g**2 + 0.
-g**3*(g + 3)/2
Factor -1820 + 37*f - 120*f**2 - 350*f + 536*f + 632*f + 5*f**3.
5*(f - 13)*(f - 7)*(f - 4)
Let c(k) = k**3 - 40*k**2 + 139*k - 88. Let x(d) = 5*d**3 - 159*d**2 + 559*d - 351. Let m(b) = 9*c(b) - 2*x(b). Let m(a) = 0. What is a?
-45, 1, 2
Let n(x) be the first derivative of x**3 - 396*x**2 - 1240. Factor n(i).
3*i*(i - 264)
Let v be (70/(-294))/(5*(-1)/6). Let y(z) = z**2 + 23*z - 285. Let i be y(-32). Determine h so that -2/7*h**2 + 0*h + 0 + v*h**4 + 0*h**i = 0.
-1, 0, 1
Let z = -151 - -163. Let -9*x**2 + z*x**2 + 34 - 88 + 21*x = 0. What is x?
-9, 2
Let h(m) = -3*m**4 + 11*m**3 - 15*m**2 + 14*m + 3. Let b(z) = z**4 - z**3 + z**2 - 4*z + 1. Let s(l) = -5*b(l) - h(l). Find c such that s(c) = 0.
-4, -1, 1
Let o(q) be the second derivative of 3*q**4/7 + 220*q**3/21 + 48*q**2/7 + 205*q + 1. Factor o(p).
4*(p + 12)*(9*p + 2)/7
Find d such that 10*d**5 + 76*d**2 - 5*d**4 - 80*d + 64*d**2 - 3*d**5 - 2*d**5 - 60*d**3 = 0.
-4, 0, 1, 2
Suppose 19 = -3*z + 2*z. Let v = z - -28. Factor -14*u + v*u - 5*u**3 + 5*u + 5*u.
-5*u*(u - 1)*(u + 1)
Let z(x) be the first derivative of x**4/14 + 562*x**3/21 + 19599*x**2/7 - 39762*x/7 + 1949. Factor z(c).
2*(c - 1)*(c + 141)**2/7
Let a(q) be the first derivative of 4*q**5/25 - 14*q**4 - 928*q**3/5 - 484*q**2 + 1580*q - 3998. Find x, given that a(x) = 0.
-5, 1, 79
Let p(n) be the third derivative of -n**7/1050 - 11*n**6/300 - 14*n**5/25 - 68*n**4/15 - 64*n**3/3 + 11*n**2 + 39*n. Suppose p(i) = 0. What is i?
-10, -4
Let n be 1/((-26)/3 + -10 + 19). Factor 28/5*h**2 + 0 - 12/5*h - 17/5*h**n + 3/5*h**4.
h*(h - 3)*(h - 2)*(3*h - 2)/5
Suppose -19*h - 766 = 887. Let c be h/(-126) + (-36)/(-216). Determine y so that c*y - 6/7*y**3 + 12/7*y**2 - 12/7 = 0.
-1, 1, 2
Let u(q) be the third derivative of q**7/14 + 71*q**6/24 - 151*q**5/12 + 385*q**4/24 - 4185*q**2. Determine d, given that u(d) = 0.
-77/3, 0, 1
Suppose 2*s - 10 = -3*n, -s - 1 + 6 = -n. Suppose 19*r - 46 + 8 = n. Let u - 1/2*u**r - 1/2 = 0. What is u?
1
Let n(s) = -21*s**3 + s**2 + 660*s - 656. Let w(u) = -58*u**3 + u**2 + 1982*u - 1969. Let d(x) = 11*n(x) - 4*w(x). Factor d(j).
(j - 22)*(j - 1)*(j + 30)
Let d(n) be the third derivative of 1/24*n**5 + 45/16*n**4 + 0*n - 35/3*n**3 + 2 + 2*n**2. Factor d(k).
5*(k - 1)*(k + 28)/2
Let x = -17481 + 69949/4. Let p(y) be the second derivative of 33*y + x*y**4 + 105/2*y**3 + 0 + 245/2*y**2 + 1/4*y**5. Let p(f) = 0. What is f?
-7, -1
Let x be ((-15870)/120)/((-1)/8). Let l = x + -1058. Factor -8/3 + l*s - 2/3*s**3 + 2*s**2.
-2*(s - 2)**2*(s + 1)/3
Let s(p) be the third derivative of -p**5/20 - 493*p**4/4 - 985*p**3/2 - 6961*p**2. Let s(l) = 0. Calculate l.
-985, -1
Suppose -2*q + 7 = j, 2*j + 2*q + 0 = 12. Let n be -3 - (7 - (1 + 5)) - (-1 - 6). Let 1/2*t**n - 9/4*t**4 - 5/4*t**j + 5/2*t**2 - 1/4 + 3/4*t = 0. Calculate t.
-1, 1/5, 1
Factor -108/7*b**4 + 4/7*b**5 + 0 + 104/7*b**3 + 0*b**2 + 0*b.
4*b**3*(b - 26)*(b - 1)/7
Let x = -239158403/970 - -246555. Let r = x + 15/97. Factor -r*q**5 - 2/5*q**4 - 1/10*q - 2/5*q**2 - 3/5*q**3 + 0.
-q*(q + 1)**4/10
Let o be 7/2 - ((-45)/(-10))/9. Factor -35*u 