 891/(-4455). Factor 9/2 - 1/4*b**2 + 1/8*b**m - 15/8*b.
(b - 3)**2*(b + 4)/8
Let x(v) = 33*v**3 + 408*v**2 - 312*v - 120. Let d(m) = 17*m**3 + 203*m**2 - 156*m - 60. Let j(a) = 9*d(a) - 4*x(a). Factor j(l).
3*(l - 1)*(l + 10)*(7*l + 2)
Let o = 155145/8 - 1640315/88. Let s = o - 753. Solve -2/11*q**3 - 2/11*q**2 + s*q**4 + 0 + 0*q + 2/11*q**5 = 0.
-1, 0, 1
Let m(g) be the third derivative of g**10/45360 + g**9/11340 + g**8/10080 - g**4/6 - g**2 - 10*g. Let y(a) be the second derivative of m(a). Factor y(s).
2*s**3*(s + 1)**2/3
Let v = -669566 - -669569. Suppose 0 + 14*k**2 + 9/2*k**5 - 19*k**v + 4*k - 7/2*k**4 = 0. What is k?
-2, -2/9, 0, 1, 2
Suppose -5*a - 14 = 4*b, -3*a + 4*b = 3*b + 5. Let h be 4 - ((1 - 1)/2)/a. Factor 1/5 + 0*o**2 - 2/5*o - 1/5*o**h + 2/5*o**3.
-(o - 1)**3*(o + 1)/5
Let b be 3572/((-342)/18)*1/(-9 - -5 - -1). Factor -256/3 + 832/3*p + b*p**3 + 16/3*p**4 + 240*p**2.
4*(p + 4)**3*(4*p - 1)/3
Let o = 1384 + -1381. Suppose -6 = -o*g, -g - 8 = -4*z + 6. Solve -224*t**2 - 343/3*t**z + 980/3*t**3 - 16/3 + 176/3*t = 0 for t.
2/7, 2
Let i be (-690)/(-6 + 1) + 2. Suppose -24*u + i = -19*u. Find a, given that -122*a**2 + 197*a**3 + 6*a - 126*a**4 + u*a**4 + 4 + 13*a**3 = 0.
-1/7, 2/7, 1
Let r(t) = 7*t**3 - t - 4. Let y = -335 + 329. Let p(f) = -7 + 8*f**3 + 2 + 1. Let i(s) = y*r(s) + 5*p(s). Factor i(l).
-2*(l - 2)*(l + 1)**2
Suppose 0 = -13*v + 45*v - 128. Suppose 3*u - 24 = -5*k, -v*k = -5*u - 16 + 19. Factor -2/13*b**5 + 0*b + 0 - 2/13*b**4 + 2/13*b**2 + 2/13*b**k.
-2*b**2*(b - 1)*(b + 1)**2/13
Let f(g) be the first derivative of 3*g**5/5 + 105*g**4/4 + 128*g**3 + 186*g**2 + 3111. Determine i, given that f(i) = 0.
-31, -2, 0
Let k(q) be the third derivative of q**5/30 - 19*q**4/12 + 18*q**2 - 2*q. Let h(n) = -2*n**2 + 36*n. Let i(g) = -7*h(g) - 6*k(g). Factor i(f).
2*f*(f - 12)
Let n = 950344/7 - 135475. Let 87/7*a**4 + 489/7*a**3 + 2208/7*a + 3/7*a**5 - 768/7 - n*a**2 = 0. What is a?
-16, 1
Suppose -18*p**4 + p**5 + 4*p**2 - 17*p**4 - 11*p**4 + 7*p**5 - 12*p**3 + 42*p**4 + 4*p = 0. What is p?
-1, -1/2, 0, 1
Let n(s) be the third derivative of 4/21*s**3 + 1/84*s**6 - 1/735*s**7 + 0*s - 2/21*s**4 + 1/210*s**5 - 85*s**2 - 1/1176*s**8 + 2. Factor n(f).
-2*(f - 1)**3*(f + 2)**2/7
Let h(o) = 70*o + 245. Let n(t) = -6*t. Let b(f) = h(f) + 15*n(f). Let m be b(12). Factor 8/3*g**3 + 0*g + 0 + 0*g**2 - 20/3*g**4 + 8/3*g**m.
4*g**3*(g - 2)*(2*g - 1)/3
Let v(b) = -19*b**4 + 225*b**3 - 7*b**2 - 7*b - 7. Let h(m) = 17*m**4 - 215*m**3 + 6*m**2 + 6*m + 6. Let p(n) = 7*h(n) + 6*v(n). Factor p(k).
5*k**3*(k - 31)
Factor -a**4 - 200*a**3 - 207*a**2 + 276 - 7*a**4 + 11*a + 5*a**4 + a + 122*a**3.
-3*(a - 1)*(a + 2)**2*(a + 23)
Let r(w) = -6*w**2 - 24*w - 510. Let v(x) = -3*x**2 - 8*x - 256. Let z(j) = 8*r(j) - 15*v(j). What is u in z(u) = 0?
-20, -4
Let p(v) be the second derivative of 0 + 0*v**2 - 1/140*v**5 - 2/105*v**6 + 1/294*v**7 - 2/7*v**3 + 4/21*v**4 - 54*v. Find l such that p(l) = 0.
-2, 0, 1, 2, 3
Find u such that 15*u + 14436*u**5 + 30*u**3 - 43*u - 3*u**4 - 26*u**2 - 14438*u**5 + 29*u**4 = 0.
-1, 0, 1, 14
Let j(w) be the first derivative of 2*w**3 - 5/4*w**4 + 22 + 9/2*w**2 - 2*w. Factor j(y).
-(y - 2)*(y + 1)*(5*y - 1)
Let d(j) be the second derivative of -8*j + 0*j**3 - 2 + 9/20*j**5 + 3/20*j**6 - j**4 - 1/28*j**7 + 0*j**2. Solve d(z) = 0 for z.
-2, 0, 1, 4
Let u(c) be the second derivative of c**4/18 + 790*c**3/9 + 156025*c**2/3 - 259*c - 1. Factor u(f).
2*(f + 395)**2/3
Let a(j) be the third derivative of -3*j**5/20 - 49*j**4/24 - 10*j**3/3 + 2*j**2 + 331. Factor a(z).
-(z + 5)*(9*z + 4)
Let j(k) = -k**2 + k + 3. Let n be j(0). Factor -2*x**4 - 33*x**n - x**5 + 20*x**3 + 12*x**3.
-x**3*(x + 1)**2
Let q(a) be the third derivative of a**3 + 1/8*a**4 - 1/40*a**6 + 1/70*a**7 - 3/20*a**5 + 0 - 62*a**2 + 0*a. Factor q(g).
3*(g - 2)*(g - 1)*(g + 1)**2
Let d be ((-12)/4)/((-21)/14). Suppose -n - 47*n + 17239*n**3 - 162*n**d - 17218*n**3 = 0. Calculate n.
-2/7, 0, 8
Suppose 0 = -2*j - 1 + 11. Suppose -j*l = z - 3, l = 3*z - 6 - 3. Factor -k**3 + 5*k**5 - 4*k**3 + 7*k - 2*k - 5*k**z.
5*k*(k - 1)**2*(k + 1)**2
Let o(f) = -1 - 2 - f**2 + 3*f - 9*f. Let b be o(-3). Factor -n**2 + 3*n + 3*n - 3*n**2 + b*n**2.
2*n*(n + 3)
Factor 5699*d + 308*d**2 - 12*d**3 + 8021*d + 67*d**3 - 53*d**3 + 137200.
2*(d + 14)*(d + 70)**2
Suppose -69 + 76 = -3*t - 4*f, 4*t + 2*f = 4. Suppose 7*j**2 - 46*j**2 + 53*j**3 - 27*j**3 - 23*j**t + 66*j = 0. What is j?
0, 2, 11
Suppose -5*h + 4*h = 1, -2*m + 4*h - 4 = 0. Let u = m - -16. Find w such that -3/2*w**2 - u*w - 24 = 0.
-4
Factor -3/8*w**3 + 27/4*w**2 + 27/8*w - 243/4.
-3*(w - 18)*(w - 3)*(w + 3)/8
What is t in 291/2*t**4 + 192*t - 183/2*t**2 - 54 - 369/2*t**3 - 15/2*t**5 = 0?
-1, 2/5, 1, 18
Let y = 483 - 471. Let k be (-2)/(-5)*(16 + -6). Find v such that -15/2*v**3 + 6*v - y + 3/2*v**k + 9*v**2 = 0.
-1, 2
Let p(t) = 14*t**5 - 76*t**4 + 166*t**3 + 196*t**2 - 60*t. Let z(f) = -f**5 - f**4 + f**3 + f**2. Let c(b) = -p(b) - 6*z(b). Let c(r) = 0. Calculate r.
-1, 0, 1/4, 5, 6
Let z(b) be the second derivative of b**5/30 - b**4/4 + 2*b**3/3 + 56*b**2 - 119*b. Let s(k) be the first derivative of z(k). Factor s(j).
2*(j - 2)*(j - 1)
Suppose -o = 2*k - 7, o + o = 5*k + 14. Let q(h) = -2*h + 14. Let x be q(o). Find t, given that -34 + 40 + 12*t**3 + x*t**3 + 25*t + 39*t**2 + 8*t = 0.
-2, -1, -1/4
Let g(r) = 38*r**2 - 9855*r - 9938. Let s(q) = -105*q**2 + 27100*q + 27330. Let d(y) = 25*g(y) + 9*s(y). Suppose d(f) = 0. Calculate f.
-1, 496
Let g(u) = 13*u**2 - 45*u - 178. Let t(a) = -4*a**2 - 1. Let r(z) = g(z) + 2*t(z). Factor r(h).
5*(h - 12)*(h + 3)
Find g such that 31/8*g + 3/4*g**4 - 21/4*g**2 + 1/8*g**5 + 9/2 - 4*g**3 = 0.
-9, -1, 1, 4
Suppose 0 = 5*m - 5, 70 = 5*l - 4*m + 9*m. Find y such that 80 - 40*y - 12*y**2 - 9*y**2 + 39*y**2 - l*y**2 = 0.
4
Let m(r) be the third derivative of r**5/135 - 5*r**4/27 + 50*r**3/27 + 29*r**2 - 18. Factor m(k).
4*(k - 5)**2/9
Let j be -22 + (-40)/32*-18. Determine p so that p**3 + 0 - p - 1/2*p**2 + j*p**4 = 0.
-2, -1, 0, 1
Let i(m) = 22*m**4 + 88*m**3 - 496*m**2 + 88*m + 582. Let a(r) = 2*r**4 + 8*r**3 - 45*r**2 + 8*r + 53. Let n(t) = 68*a(t) - 6*i(t). Factor n(x).
4*(x - 2)**2*(x + 1)*(x + 7)
Let v(q) be the second derivative of q**7/735 - q**6/420 - 2*q**5/105 + q**4/21 + 33*q**2/2 + 116*q. Let s(i) be the first derivative of v(i). Factor s(z).
2*z*(z - 2)*(z - 1)*(z + 2)/7
Let v(x) = 4*x**2 + 2*x - 2. Let o be v(-1). Let u(d) = -18 + 15*d**2 + 26*d + o - 1. Let w(i) = 3*i**2 + 5*i - 4. Let p(n) = -2*u(n) + 11*w(n). Factor p(r).
3*(r - 1)*(r + 2)
Suppose -4/11*q**2 + 7982/11*q + 3992/11 = 0. What is q?
-1/2, 1996
Let y = 41647 - 41644. Let i(l) be the third derivative of 1/90*l**5 + l - 1/18*l**4 + 1/9*l**y - 6*l**2 + 0. Factor i(b).
2*(b - 1)**2/3
Let x be 4/(-30) - 5244/(-180). Determine h so that 80 + 5*h**2 + x*h - 9*h - 65 = 0.
-3, -1
Let w(a) be the third derivative of a**8/224 - a**7/140 - 27*a**6/40 + 27*a**5/4 - 459*a**4/16 + 243*a**3/4 + a**2 + 8*a - 17. Factor w(l).
3*(l - 3)**3*(l - 1)*(l + 9)/2
Let n = -74887/7 + 10699. Let j(d) be the first derivative of n*d**2 + 2/21*d**3 + 22 + 16/7*d. Factor j(f).
2*(f + 2)*(f + 4)/7
Let m = -437339/6 + 72891. Let -2/3*v**2 - m*v**4 + 0 + 0*v - 11/6*v**3 = 0. Calculate v.
-1, -4/7, 0
Suppose -10 = -2*d + 4*z, 17*d - 18*d + 3*z = -5. Let -136*y + 131*y - d*y**3 + 6*y**3 + 4*y**2 = 0. Calculate y.
-5, 0, 1
Let x = 7681 + -7676. Let r(u) be the first derivative of 1/5*u**x + 1/8*u**2 + 3/8*u**4 + 0*u + 1/24*u**6 + 16 + 1/3*u**3. Suppose r(b) = 0. What is b?
-1, 0
Let a be (-52)/(3120/(-3108)) - 41. Factor 12/5*t**3 - 9*t - 12/5*t**2 + a.
3*(t + 2)*(2*t - 3)**2/5
Let f = -196 - -208. Solve -125 + f*v - 119 + 369 + 4*v**2 - 117 = 0.
-2, -1
Let k = 522 - 517. Factor 16*o - 6*o - 20*o + k*o**2 - 75.
5*(o - 5)*(o + 3)
Let h(g) be the first derivative of -5*g**3/3 - 145*g**2/2 + 150*g + 6638. Determine m so that h(m) = 0.
-30, 1
Let j = -41 + 52. Suppose -j + 1 = -5*p. Factor -r**2 + 28*r**2 - 12*r**p + 5*r**3.
5*r**2*(r + 3)
What is t in -270 + 55*t**2 + 24227*t - 11317*t - 11935*t = 0?
-18, 3/11
Let c = 196 + -216. Let u be (-10)/4*16/c. Determine a, given that 6/13*a - 4/13 - 2/13*a**u = 0.
1, 2
Let a = -5 - -7. Let t be (-3 + 0 - (-4 +