- 2*i**3 - 53*i**2.
4*(i - 12)*(i - 1)*(i + 1)
Let y be (7*(-24)/30)/(2/(-10)). Let o be (-24)/y*(-728)/117. Factor 224/9*k + 4*k**2 + o.
4*(k + 6)*(9*k + 2)/9
Let k(t) be the third derivative of -t**6/30 - 59*t**5/15 + 31*t**4/3 + 80*t**3 + 20*t**2 + 3*t - 1. Factor k(r).
-4*(r - 2)*(r + 1)*(r + 60)
Suppose -4*i - 8 = 0, 2*g + 3*i - 98 = 7*i. Factor 14*l + g*l**2 - 5 - 5*l**3 + 40 - 89*l.
-5*(l - 7)*(l - 1)**2
Let k(o) be the first derivative of o**5/90 - 5*o**4/36 + 2*o**3/3 + 283*o**2/2 + 273. Let z(y) be the second derivative of k(y). Let z(r) = 0. Calculate r.
2, 3
Solve -312/7 - 4/7*p**2 + 164/7*p = 0 for p.
2, 39
Find h such that 36*h**2 - 4*h**5 - 9*h**3 - 4333*h**4 + 4285*h**4 + 19*h**5 + 6*h**3 = 0.
-4/5, 0, 1, 3
Suppose 0 = 4*n - 3*p + 55, -p - 25 = -6*p. Let a be (-1000)/n*16/5. Factor 860*g**3 - 677*g**4 + 51*g - 218*g**2 - 147*g**2 + 19*g - 203*g**4 + a*g**5 - 5.
5*(g - 1)**2*(4*g - 1)**3
Let i be ((-10)/(-4) + 1 + 0)*14. Suppose -11*a + 49 - i = 0. Factor -3/5*k**2 + 0 + 3/5*k**3 + a*k.
3*k**2*(k - 1)/5
Solve -171 - 53 + 28*w**2 - 52*w**2 + 26*w**2 + 554*w - 892 = 0.
-279, 2
Let q(h) = -h**3 - 11*h**2 + 13*h + 26. Let a(o) = 22*o + 10. Let z be a(-1). Let g be q(z). Suppose 4*i**3 + 3*i**2 - 8*i + 7*i**2 - g*i**2 = 0. Calculate i.
-1, 0, 2
Let u(z) = 3*z**2 + 34*z - 11. Let f(o) = o**2 + 11*o - 4. Let t(r) = -17*f(r) + 6*u(r). Let a be t(10). Factor a - 2*k**3 - 272.
-2*k**3
Let x be 31 + 220/(-150) + -29. Factor -x*a + 0 + 2/5*a**2 + 2/15*a**3.
2*a*(a - 1)*(a + 4)/15
Let z(n) be the first derivative of -2*n**5/45 - 13*n**4/9 - 98*n**3/27 - 8*n**2/3 - 3516. Let z(o) = 0. Calculate o.
-24, -1, 0
Suppose 5*i - 6*b + 900 = -3*b, 3*b = 3*i + 540. Let t be 5/(-25) + i/(-25) + -4. Determine h so that -1/4*h**t - h**2 + 0 - h = 0.
-2, 0
Let s(m) be the third derivative of 3*m**7/350 - m**6/10 + 13*m**5/50 - m**4/10 - m**3/2 + 442*m**2. Solve s(p) = 0.
-1/3, 1, 5
Let t be -2 + 18*(-328)/30. Let p = t - -202. Factor -4/5*j**2 - 4/5*j**3 + p*j + 16/5.
-4*(j - 2)*(j + 1)*(j + 2)/5
Let f(s) = -16293*s + 65187. Let v be f(4). Suppose -v*q - 3/4*q**3 + 12 + 6*q**2 = 0. Calculate q.
2, 4
Factor -39804 - 663*y**2 + 10913*y + 0*y**3 - 47873*y + 3504 - 3*y**3.
-3*(y + 1)*(y + 110)**2
Let z = 3 + 0. Let c(q) = 11*q**3 - 32*q**3 + 22*q**3 - 1. Let f(d) = d**4 + 7*d**3 + 4*d**2 - 3. Let h(k) = z*c(k) - f(k). Factor h(s).
-s**2*(s + 2)**2
Let q(z) = 4311*z - 17240. Let f be q(4). Suppose 0*k + 6/17*k**f + 2/17*k**5 - 2/17*k**3 + 8/17 - 14/17*k**2 = 0. What is k?
-2, -1, 1
Let x(l) be the first derivative of l**4/22 - 10*l**3/11 + 32*l**2/11 + 24*l + 1793. Factor x(g).
2*(g - 11)*(g - 6)*(g + 2)/11
Let m(j) = j. Let p be m(3). Suppose 3*a + p = v - 15, -2 = -4*v - 2*a. Determine h so that -5*h**4 + 2*h**3 + 3*h - 35*h**2 + 42*h**2 - 5*h**v - 2 = 0.
-1, 2/5, 1
Let m(q) be the first derivative of 4*q**5/35 + 73*q**4/14 - 4*q**3 - 187*q**2/7 - 148*q/7 - 342. Let m(z) = 0. What is z?
-37, -1, -1/2, 2
Let w(b) = -10*b**3 + 184*b**2 + 366*b + 154. Let k(r) = 7*r**3 - 123*r**2 - 244*r - 110. Let f(x) = 7*k(x) + 5*w(x). Factor f(l).
-l*(l - 61)*(l + 2)
Let r(c) be the first derivative of c**6/24 + 9*c**5/20 + 5*c**4/4 + c**3 + 461. Solve r(m) = 0 for m.
-6, -2, -1, 0
Factor 35568*a**2 + 155*a + 160 - 17784*a**2 - 17779*a**2 + 130.
5*(a + 2)*(a + 29)
Solve -251*r**3 + 72*r - 4 - 175/4*r**5 - 20*r**2 - 795/4*r**4 = 0 for r.
-2, -1, 2/35, 2/5
Suppose 3*h + 4*j = 76 + 49, 0 = -3*h + 5*j + 134. Suppose 5*p = 182 + h. Factor -60*x**4 + 0*x**3 + 0*x**3 - 10*x**2 + p*x**3 - 231*x**5 + 256*x**5.
5*x**2*(x - 1)**2*(5*x - 2)
Let o = -4458 + 13033/3. Let x = -113 - o. Factor x*q**2 - 4/3*q + 0.
2*q*(q - 2)/3
Let v(u) be the second derivative of -3*u + 3/16*u**3 - 1 + 0*u**2 - 1/32*u**4. Determine k so that v(k) = 0.
0, 3
Let d = 1207 - 1197. Suppose x = -b, x + 3*b - 7*b - d = 0. Factor -2/15*q**4 - 4/15*q + 0 - 8/15*q**3 - 2/3*q**x.
-2*q*(q + 1)**2*(q + 2)/15
Let u(y) be the second derivative of -3*y**5/5 - 44*y**4/3 - 296*y**3/3 - 160*y**2 + 406*y. What is q in u(q) = 0?
-10, -4, -2/3
Suppose -2*o = -4*n + 2*n + 4, -4*n + 3*o + 11 = 0. What is z in -4 - z**2 - 2*z - 2*z + z**n + 5*z**4 - 4*z + 7*z**3 = 0?
-2, -1, 1
Let y(k) be the third derivative of -3*k**7/35 - 31*k**6/2 - 5105*k**5/6 - 19375*k**4/3 - 62500*k**3/3 + 491*k**2. Factor y(o).
-2*(o + 50)**2*(3*o + 5)**2
Let l(s) be the first derivative of -1/3*s**3 - 7744*s + 88*s**2 - 272. Determine o so that l(o) = 0.
88
Let r(d) be the third derivative of d**6/30 - 177*d**5/5 + 529*d**4/3 - 239*d**2 + d. Factor r(z).
4*z*(z - 529)*(z - 2)
Let n(s) = -16*s**4 - 123*s**3 - 106*s**2 + 19*s. Let b(o) = -32*o**4 - 245*o**3 - 221*o**2 + 37*o. Let v(p) = 2*b(p) - 5*n(p). Determine l so that v(l) = 0.
-7, -1, 0, 3/16
Let j(q) be the first derivative of q**6/2 - 198*q**5/5 - 426*q**4 - 1744*q**3 - 3528*q**2 - 3552*q + 6724. Let j(i) = 0. Calculate i.
-2, 74
Let h = -504 + 511. Let a(g) be the third derivative of 0*g + 1/490*g**h - 3/280*g**6 + 5*g**2 + 0 - 1/28*g**4 + 0*g**3 + 1/784*g**8 - 1/28*g**5. Factor a(r).
3*r*(r - 2)*(r + 1)**3/7
Let o = -59463 - -4757103/80. Let n(f) be the third derivative of -1/2*f**3 - o*f**6 + 0 - 9/8*f**4 - 109/80*f**5 + 14*f**2 - 7/40*f**7 + 0*f. Factor n(j).
-3*(j + 1)**2*(7*j + 2)**2/4
Let q = 140732 + -140729. Find o such that -9/4*o - 5/2*o**2 + 0 - 1/4*o**q = 0.
-9, -1, 0
Suppose -4*b - 67 - 41 = -j, -64 = 3*b - 5*j. Let z be (-4)/1*497/b. Let -76*k**2 + 5 + z*k**2 + 0*k + 5*k**3 - 5*k = 0. Calculate k.
-1, 1
Determine l, given that 173*l - 1071*l**2 + 126*l + 1067*l**2 + 105*l = 0.
0, 101
Let p = -295486 + 295488. Factor -p*f**3 - 32/11*f + 52/11*f**2 + 2/11*f**4 + 0.
2*f*(f - 8)*(f - 2)*(f - 1)/11
Let j(f) be the second derivative of f**4/20 + 3176*f**3/5 + 15130464*f**2/5 + 5732*f. Factor j(w).
3*(w + 3176)**2/5
Factor 700*x - 52*x**2 + 4/5*x**3 + 4900.
4*(x - 35)**2*(x + 5)/5
Let f = 4128224/5 - 825616. Solve -f - 48/5*v**3 + 16/5*v + 108/5*v**2 + 4/5*v**4 = 0.
-1, 2, 9
Suppose 3599*m = 3581*m + 36. Determine s, given that -76/3*s**m + 400/3 - 320/3*s - 4/3*s**3 = 0.
-10, 1
Factor 2*t**4 - 7*t**3 + 101*t + 39*t - 3*t**2 - 5*t**3 - 129*t**2 + 2*t**4.
4*t*(t - 7)*(t - 1)*(t + 5)
Let l = 34 - 35. Let s be l - (-9)/(27/192). Factor 4*w**4 + w**5 - 4*w**5 - 13*w**4 - 13*w**2 + 43*w**2 + 27 + 18*w**3 - s*w.
-3*(w - 1)**3*(w + 3)**2
Let s(l) be the first derivative of 5*l**6/6 - 2*l**5 - 105*l**4 - 790*l**3/3 - 385*l**2/2 - 5874. Suppose s(w) = 0. Calculate w.
-7, -1, 0, 11
Let b be (-681163)/1860 - (-2)/(-8). Let w = b - -1121/3. Determine q so that 102/5*q**2 + 0 + w*q + 14/5*q**4 - 16*q**3 = 0.
-2/7, 0, 3
Find r such that 44*r + 87*r - 179*r + 35 + 4*r**2 + 93 = 0.
4, 8
Let z(j) be the second derivative of -j**5/130 - 38*j**4/13 - 1015*j**3/13 - 10486*j**2/13 + 7058*j. Factor z(n).
-2*(n + 7)**2*(n + 214)/13
Let x(i) = 46*i + 1962. Let y be x(-42). Factor -118*u**2 - 36 + 120*u - 9/4*u**4 + y*u**3.
-(u - 6)**2*(3*u - 2)**2/4
Let h(y) be the first derivative of 9/5*y**2 - 2/5*y**3 - 30 + 1/30*y**4 + 9*y. Let t(u) be the first derivative of h(u). Factor t(j).
2*(j - 3)**2/5
Let l(b) be the third derivative of -b**7/1155 - 97*b**6/165 - 1693*b**5/15 + 6305*b**4/11 - 12675*b**3/11 + 152*b**2. Factor l(x).
-2*(x - 1)**2*(x + 195)**2/11
Let b(u) be the first derivative of -1/2*u**4 + 0*u + 82 - 20/3*u**3 - 9*u**2. Factor b(g).
-2*g*(g + 1)*(g + 9)
Factor 26 + 292/11*c**3 + 860/11*c + 2/11*c**4 + 864/11*c**2.
2*(c + 1)**3*(c + 143)/11
Let g(c) be the second derivative of c**7/231 + 7*c**6/33 + 16*c**5/5 + 128*c**4/11 - 2812*c. Factor g(d).
2*d**2*(d + 3)*(d + 16)**2/11
Let z(d) = -6*d - 2. Let r be ((-8)/36*-3)/((-12)/18). Let p be z(r). Suppose 2/9*j**5 - 2/3*j**3 + 0 - 2/9*j**p + 10/9*j**2 - 4/9*j = 0. What is j?
-2, 0, 1
Suppose -2/7*f**3 + 28 + 12/7*f**2 + 30*f = 0. Calculate f.
-7, -1, 14
Factor 62555 + 375*p**2 - 31276 + 83*p**3 + 441*p + 4*p**4 - 31414.
(p + 3)**2*(p + 15)*(4*p - 1)
Let t = 2592587/6 + -432094. Determine o so that -35/6*o - 3/2 + 1/2*o**3 - t*o**2 = 0.
-1, -1/3, 9
Let b be (-3 + (-55)/(-15))*21428/40. Let l = b - 357. Factor -l*v**2 + 8/15 - 2/5*v.
-2*(v - 1)*(v + 4)/15
Let j(b) be the first derivative of b**6/48 - b**5/2 + 7*b**4/16 + 23*b**3/6 + 57*b**2/16 - 1306. Le