6396*i + 1263*i**2.
(i + 4)**2*(158*i - 1)
Let s(c) = -c - 7. Let j be s(-10). Let v be j - (7 + -8 + (0 - 2)). Let -16*z**4 + 2 + v + 12*z + 822*z**3 - 762*z**3 - 64*z**2 = 0. What is z?
-1/4, 1, 2
Let y be (-1869)/(-663) - ((-6336)/1144)/(-24). Factor 6/17*i**2 - 38/17*i - y.
2*(i + 1)*(3*i - 22)/17
Let t be ((-36)/(-135))/(16/24). Let m(r) be the first derivative of -2/15*r**3 + 2/5*r**2 - t*r + 4. Factor m(v).
-2*(v - 1)**2/5
Factor -15325*u**2 + 3*u**3 + 30767*u**2 - 15322*u**2 + 525*u.
3*u*(u + 5)*(u + 35)
Let x(w) = -9*w**3 + 123*w - 51 - 48*w**2 + 4*w**3 + 11*w**3 + 6*w**3. Let a(m) = 5*m**3 - 24*m**2 + 61*m - 26. Let z(h) = -9*a(h) + 4*x(h). Factor z(u).
3*(u - 1)**2*(u + 10)
Suppose -a + 69 = -2*b, -5*a - b + 267 = -a. Let -2*o**4 + o**4 + 4*o**3 + 78*o**2 - a*o**2 + 6*o = 0. What is o?
-1, 0, 6
Let o(n) be the second derivative of 1/66*n**4 - 2/11*n**2 + 1/33*n**3 + 0 - 27*n. Determine f, given that o(f) = 0.
-2, 1
Let a(u) = 9*u + 56. Let v be a(-6). Factor -413*h**v - 413*h**2 + 578 + 828*h**2 + 68*h.
2*(h + 17)**2
Let x(k) be the third derivative of 0*k**5 + 2/21*k**3 + 1/105*k**6 + 0 - 2/735*k**7 + 0*k - 1/21*k**4 + 61*k**2. Determine a, given that x(a) = 0.
-1, 1
Let p(h) be the first derivative of 58/9*h**2 - 17/9*h**3 - 44/9*h - h**4 + 68. Factor p(v).
-(3*v - 2)**2*(4*v + 11)/9
Let j(b) be the third derivative of -b**8/1848 - 43*b**7/1155 - 233*b**6/660 - 413*b**5/330 - 37*b**4/22 + 9*b**2 + 18*b + 2. Solve j(f) = 0.
-37, -3, -2, -1, 0
Let t(f) be the second derivative of 2/15*f**3 - 1/100*f**5 + 29*f - 1/210*f**7 - 1 - 1/6*f**4 + 4/5*f**2 + 2/75*f**6. Factor t(x).
-(x - 2)**3*(x + 1)**2/5
Let o(v) be the second derivative of 10/7*v**3 + 0 + 1/42*v**4 - 9*v + 225/7*v**2. Factor o(u).
2*(u + 15)**2/7
Let x(c) be the third derivative of 9*c**7/70 - 5*c**6/8 + 109*c**5/180 + 11*c**4/24 + c**3/9 + 1245*c**2. Factor x(i).
(i - 2)*(i - 1)*(9*i + 1)**2/3
Let x be 3 - 2 - (-2)/(-3). Let m be 46/184 + (-4)/(-32)*-2. Find w, given that 1/3*w + 1/3*w**2 - x*w**3 + m - 1/3*w**4 = 0.
-1, 0, 1
Let j be ((-32)/(-10) - 3)/(88/880). Let l(v) be the second derivative of -1/3*v**3 + 9/50*v**5 + 20*v + 0 + 1/10*v**4 + 1/5*v**j. Find d, given that l(d) = 0.
-1, 1/3
Let u(t) be the second derivative of -t - 11/7*t**2 + 16 + 4/7*t**3 - 1/42*t**4. Let u(b) = 0. Calculate b.
1, 11
Let j(a) be the second derivative of 2/9*a**3 + 0*a**2 + 0 - 1/150*a**5 + 97*a - 1/30*a**4. Factor j(w).
-2*w*(w - 2)*(w + 5)/15
Let a = 90 + -78. Suppose 11*y = a*y - 75. Suppose -6*r**2 - 6*r**2 - 14*r**2 - 4*r**2 + 3*r**3 + y*r = 0. Calculate r.
0, 5
Let s**4 - 3*s**4 + 72600 + 82446*s + 375*s**3 - 826*s + 8*s**4 + 9390*s**2 - s**4 = 0. What is s?
-30, -22, -1
Let k(f) be the third derivative of 49*f**6/660 + 791*f**5/330 + 230*f**4/11 - 1200*f**3/11 - 3059*f**2. Factor k(t).
2*(t - 1)*(7*t + 60)**2/11
Let u = 119849/21 + -5707. Let r(v) be the second derivative of 0*v**4 + 2*v + 0*v**2 + u*v**7 + 0 + 0*v**3 - 4/15*v**6 + 1/5*v**5. Factor r(s).
4*s**3*(s - 1)**2
Factor -2331/2*k - 1811187/4 - 3/4*k**2.
-3*(k + 777)**2/4
Let l = 442 - 651. Let p be l/396 + (-9)/(-12). Factor 2/9*d**5 + 0*d - 2/9*d**3 - p*d**2 + 0 + 2/9*d**4.
2*d**2*(d - 1)*(d + 1)**2/9
Let k(o) be the first derivative of 5*o**4/4 + 100*o**3/3 + 585*o**2/2 + 810*o + 1090. Factor k(r).
5*(r + 2)*(r + 9)**2
Let z be (318 - 326) + 144/14. Factor -z + 5/7*v**3 + 39/7*v**2 + 72/7*v.
(v + 4)**2*(5*v - 1)/7
Let o(d) = 6*d - 28. Let f be 68/6 + (-88)/66. Let q be o(f). Suppose -q*r + 15*r**2 - 3*r - r + 6*r**2 - 12 = 0. Calculate r.
-2/7, 2
Let n(y) be the third derivative of 14*y**2 + 0 - 15/8*y**4 - 10/3*y**3 + 0*y - 1/2*y**5 - 1/24*y**6. Factor n(q).
-5*(q + 1)**2*(q + 4)
Let l(c) = 3*c**2 + 9*c - 22. Let k be l(-6). Let i(f) = 4*f - 2. Let o be i(2). Determine y, given that -13*y - o + 3*y**2 + k*y - 16*y = 0.
-2, 1
Let v = 332 + -980/3. Let i = 12910 - 12907. What is d in 4/3 + 20/3*d + v*d**i + 32/3*d**2 = 0?
-1, -1/2
Let n(i) be the third derivative of -i**7/231 - 13*i**6/660 - i**5/55 + 1397*i**2. Factor n(q).
-2*q**2*(q + 2)*(5*q + 3)/11
Let z(q) be the second derivative of -q**6/30 + q**5 - 9*q**4/2 + 26*q**3/3 + 31*q**2/2 - 59*q. Let u(r) be the first derivative of z(r). Factor u(p).
-4*(p - 13)*(p - 1)**2
Let s(x) = -40*x**2 + 96*x - 201. Let o(u) = -2*u**2 + 2*u - 1. Let l(q) = 42*o(q) - 2*s(q). Find m such that l(m) = 0.
-30, 3
Let r(q) be the first derivative of -1/5*q**5 + 30 + 5*q**3 + 6*q - 3/4*q**4 - 17/2*q**2. Solve r(s) = 0.
-6, 1
Let u be -5*16/(-24)*(9911/275 - 36). Determine o, given that 2/15*o**5 + 0 + 4/5*o**2 + 0*o - 4/5*o**4 - u*o**3 = 0.
-1, 0, 1, 6
Let u = 104108 + -416429/4. Determine q, given that -3/4*q**3 - u*q - 9/2 + 3*q**2 = 0.
-1, 2, 3
Let b(v) be the first derivative of -v**6/15 - 2*v**5/5 - 9*v**4/10 - 14*v**3/15 - 2*v**2/5 - 1329. Suppose b(d) = 0. Calculate d.
-2, -1, 0
Let j(a) be the second derivative of 0 + 207*a - 35/6*a**3 + 0*a**2 - 5/12*a**4. Factor j(x).
-5*x*(x + 7)
Let x be (1562/12)/(5293/(-134)). Let m = 3/79 - x. Factor m*s - 1/6*s**2 - 50/3.
-(s - 10)**2/6
Factor -168*k + 2/9*k**2 + 31752.
2*(k - 378)**2/9
Suppose 2*a + 5*j - 24 = 0, 0 = -37*a + 42*a + j - 14. Factor y**2 - 3*y**a + 3*y**2 - 2*y**2 + 284*y - 3*y**2.
-4*y*(y - 71)
Let b(s) = s**2 + 36*s + 24 + 0*s**2 + 2*s**2 - 21*s. Let o(x) = 3*x**2 + 14*x + 24. Let t(c) = 4*b(c) - 3*o(c). Factor t(f).
3*(f + 2)*(f + 4)
Let z(s) = -90*s**4 - 174*s**3 + 32*s**2 + 716*s - 450. Let g(f) = 8*f**4 + 16*f**3 - 3*f**2 - 65*f + 41. Let k(t) = 68*g(t) + 6*z(t). Factor k(c).
4*(c - 1)**2*(c + 2)*(c + 11)
Let k be ((-70)/(-10) - 14)/((-1)/219). Factor 83*x**2 - 3*x**3 + 762*x + 799*x - k*x.
-x*(x - 28)*(3*x + 1)
Suppose -5*k - 5 = 0, 1 = 3*y + 2*k - 3. Let 45*f**5 - y*f + 42*f**3 + 1327 - 36*f**2 + 3*f + 102*f**4 - 16*f - 1321 = 0. Calculate f.
-1, 1/3, 2/5
Let c be (-43 - (-2847)/75)/(2 - 24/10). Factor 3/5*t**5 - 27/5 + c*t - 18/5*t**3 - 6*t**2 + 9/5*t**4.
3*(t - 1)**3*(t + 3)**2/5
Let v(j) be the second derivative of 491401*j**4/48 - 701*j**3/3 + 2*j**2 + 2299*j. Factor v(y).
(701*y - 4)**2/4
Let o(c) be the first derivative of 2*c**3/3 - 28*c**2 - 490*c + 2967. Find m such that o(m) = 0.
-7, 35
Let j(h) be the second derivative of 1/34*h**4 - 37*h + 0 + 6/17*h**2 - 11/51*h**3. Factor j(r).
2*(r - 3)*(3*r - 2)/17
Let f(s) be the third derivative of 2 - 1/60*s**4 + 1/300*s**6 - 1/350*s**7 + 0*s**3 + 0*s + 5*s**2 + 1/100*s**5. Factor f(c).
-c*(c - 1)*(c + 1)*(3*c - 2)/5
Let f(r) = -2*r**3 + r**2 - 2*r + 2. Let w(m) = 38*m**3 - 60*m**2 + 288*m - 388. Let j(d) = 18*f(d) + w(d). Factor j(v).
2*(v - 11)*(v - 8)*(v - 2)
Let u(q) be the first derivative of -2*q**5/5 + 127*q**4/8 + 16*q**3/3 - 2984. Solve u(w) = 0 for w.
-1/4, 0, 32
Factor 2/7*a**3 - 1418/7 - 2834/7*a - 202*a**2.
2*(a - 709)*(a + 1)**2/7
Let l(r) be the first derivative of r**5/12 - 35*r**4/12 - 80*r**3/3 + 54*r**2 + 1. Let u(o) be the second derivative of l(o). Determine m so that u(m) = 0.
-2, 16
Let i = -27220 - -27220. Factor 21/4*u**4 + 33/4*u**2 + i - 3/2*u - 12*u**3.
3*u*(u - 1)**2*(7*u - 2)/4
Let s = 9790 - 9789. Let v = -46/3 - -107/6. Let -s + w**5 - v*w**4 - 1/2*w**3 - 1/2*w + 7/2*w**2 = 0. What is w?
-1, -1/2, 1, 2
Let x(m) be the second derivative of -m**4/18 - 508*m**3/9 + 44*m + 8. Factor x(r).
-2*r*(r + 508)/3
Let l(y) = 62*y**2 - 2612*y - 9876. Let j(s) = 4*s**2 - 174*s - 658. Let b(z) = 92*j(z) - 6*l(z). Factor b(a).
-4*(a + 4)*(a + 80)
Let -464*p**3 + 155/2*p**4 - 2337/2*p**2 - 8 - 635*p = 0. What is p?
-1, -2/155, 8
Factor -4/13*b - 2/13*b**2 + 48/13.
-2*(b - 4)*(b + 6)/13
Let k(b) be the first derivative of 7/6*b**4 + 0*b + 1 + 10*b**2 - 4/15*b**5 + 4/3*b**3. Let y(h) be the second derivative of k(h). Let y(n) = 0. Calculate n.
-1/4, 2
Let o(n) be the third derivative of n**7/1260 - n**6/72 + 29*n**5/360 - 5*n**4/36 - 4673*n**2. Factor o(p).
p*(p - 5)*(p - 4)*(p - 1)/6
Let t(i) be the third derivative of 11*i**8/2352 + 223*i**7/490 - 499*i**6/280 + 943*i**5/420 - 3*i**4/4 - 3*i**2 + 3*i - 5. Suppose t(f) = 0. Calculate f.
-63, 0, 2/11, 1
Let m be -7 + ((-956)/(-48) - (-7)/84). Suppose -m*h + 51*h + 18*h = 0. Factor -8/17*u - 2/17*u**3 - 8/17*u**2 + h.
-2*u*(u + 2)**2/17
Let x(v) be the third derivative of -v**8/896 - 617*v**7/560 