 z(w).
2*(w - 75)*(w - 2)/3
Let x(k) be the second derivative of k**4/12 + 325*k**3/3 - 652*k**2 - 12*k + 194. Factor x(q).
(q - 2)*(q + 652)
Suppose 2*h - 4*c - 50 = 0, -2*h - 3*c = -0*h - 71. Factor -573*y**2 - 57*y**2 + 220*y**3 - 18*y**4 - h + 540*y - 7*y**4 + 166.
-5*(y - 3)**3*(5*y + 1)
Let n = -33/13196 - -6697/39588. Solve -5/3*f - n*f**2 + 11/6 = 0 for f.
-11, 1
Let n(r) = 5*r**2 - 5*r - 26. Let a(j) = -4*j**2 + 4*j + 21. Suppose 14*l + 56 - 112 = 0. Let d(k) = l*a(k) + 3*n(k). Factor d(b).
-(b - 3)*(b + 2)
Suppose 2321*n**2 - 3*n - 781 - 2323*n**2 + 373*n + 49 = 0. What is n?
2, 183
Let b(n) be the third derivative of -1/12*n**5 + 1 - 11/12*n**4 + 5/2*n**3 + 0*n - 42*n**2. Determine c so that b(c) = 0.
-5, 3/5
Let z = -84137/7 - -12023. Suppose 4/7*k + 4/7*k**2 - z = 0. Calculate k.
-3, 2
Find l such that 1213 + 4*l**3 - 460*l**2 + 1238 - 2451 - 936*l = 0.
-2, 0, 117
Let w(i) be the second derivative of -i**5/40 - 55*i**4/24 - 50*i**3 + 1125*i**2 - 1620*i. Factor w(v).
-(v - 5)*(v + 30)**2/2
Let t(x) be the second derivative of -1/24*x**3 + 0 - 7/96*x**4 + 0*x**2 - 3/112*x**7 + 11/160*x**5 - 64*x + 7/240*x**6. Suppose t(z) = 0. Calculate z.
-1, -2/9, 0, 1
Suppose 0*t = -5*t + 20. Suppose 3*p - 24 = -3*d, -t*d + 3*p - 27 = -8*d. Factor -6*u - 4*u**5 + 20*u**4 - 50*u**3 - 2*u + 14*u**d + 28*u**2.
-4*u*(u - 2)*(u - 1)**3
Let d be 2 - 266/(-21) - (-28)/(-2). Suppose d*a**2 - 4/3 - 2/3*a = 0. Calculate a.
-1, 2
Solve 2/9*o**4 - 20/3*o + 0 - 8/3*o**3 - 86/9*o**2 = 0 for o.
-2, -1, 0, 15
Let h(n) = -44*n**5 - 229*n**4 - 274*n**3 + 123*n**2 - 4*n. Let w(o) = 43*o**5 + 228*o**4 + 273*o**3 - 126*o**2 + 3*o. Let j(p) = -3*h(p) - 4*w(p). Factor j(r).
-5*r**2*(r + 3)**2*(8*r - 3)
Let b = 78280 + -78278. Suppose 9/2*r**b + 1/2*r + 0 = 0. What is r?
-1/9, 0
Let s be 9 - 15/(-10)*(-3 - -1). Factor -642 - t**5 + 6*t**4 - 3*t**3 + 642 - s*t**3 + 4*t**2.
-t**2*(t - 4)*(t - 1)**2
Let z(f) = -4*f**5 + 148*f**4 - 324*f**3 - 452*f**2 + 636*f + 624. Let p(d) = -2*d**5 - d. Let s(l) = -4*p(l) + z(l). Let s(o) = 0. What is o?
-39, -1, 2
Suppose 5*c - 3*y + 12 = 0, 5*c - 5*y + 18 = -8*y. Let q be ((-30)/(-76))/c*16/(-20). Factor -8/19*k + 8/19 + q*k**2.
2*(k - 2)**2/19
Find r such that -12321/4 + 17*r**3 - 1/4*r**4 - 1887*r - 467/2*r**2 = 0.
-3, 37
Let 61 - 24*t**5 - 24*t**5 - 2215*t + 392 - 506*t + 11153*t**3 - 284*t**3 + 7176*t**4 + 471*t**2 = 0. What is t?
-1, 1/4, 151
Let x(a) be the second derivative of a**4/66 + 36*a**3/11 - 684*a**2/11 - 34*a - 17. Factor x(n).
2*(n - 6)*(n + 114)/11
Let -9/4*j**5 - 357/2*j + 0 - 1047/4*j**4 + 2847/4*j**3 - 1077/4*j**2 = 0. Calculate j.
-119, -1/3, 0, 1, 2
Let 287*a**3 - 150*a**3 + 185*a**2 - 170*a - 152*a**3 = 0. What is a?
0, 1, 34/3
Let k = 209 - 592. Let x = -380 - k. Let -1/2*n**x + 0*n + 0 - 1/2*n**2 = 0. Calculate n.
-1, 0
Factor 14*y**3 + 11*y**3 - 39*y**2 - y**4 + 63*y**2 - 2*y**3.
-y**2*(y - 24)*(y + 1)
Let a = -457239 - -1371718/3. Factor 176868*y - 5202*y**2 - 2255067 - a*y**4 + 68*y**3.
-(y - 51)**4/3
Let k = 333131/35691 + -5/11897. Factor 7*t - t**3 + 10/3 - k*t**2.
-(t - 1)*(t + 10)*(3*t + 1)/3
Let b(u) = u**2 - 13*u + 25. Let o be b(11). Let v be (202 + 0)/(o - 2). Solve v*f + 324*f**2 - 52*f - 329*f**2 - 1125 = 0 for f.
15
Let w be (56/72 + -1)*408/327. Let t = -6/109 - w. Factor 8/9*s**2 + 2/9*s**3 - t*s - 8/9.
2*(s - 1)*(s + 1)*(s + 4)/9
Find z such that 1421*z**3 + 33*z**2 + 387*z**2 + 2*z**5 - 432*z - 1531*z**3 = 0.
-9, 0, 2, 3, 4
Let h = 36 - 34. Factor -o**2 - 52 - h*o**2 + 84 + 12*o + o**2.
-2*(o - 8)*(o + 2)
Let j(s) be the third derivative of s**8/5880 + s**7/2940 - s**6/126 + 2*s**5/105 + 37*s**3/3 - 72*s**2. Let z(v) be the first derivative of j(v). Factor z(o).
2*o*(o - 2)*(o - 1)*(o + 4)/7
Let j(i) be the third derivative of -5*i**8/2016 - 23*i**7/420 - 331*i**6/720 - 631*i**5/360 - 5*i**4/2 + 25*i**3/9 - 3085*i**2. What is b in j(b) = 0?
-5, -2, 1/5
Find u such that 308/3 - 17/3*u - 1/3*u**2 = 0.
-28, 11
Let m = -1263/212 + 711/106. Factor -117/2*y**2 - m*y**3 - 13182 - 1521*y.
-3*(y + 26)**3/4
Determine n, given that 0 + 18*n**4 - 4/7*n**2 + 0*n + 122/7*n**3 = 0.
-1, 0, 2/63
Let p be (-304 + 305)*((-418)/(-16) + -3 - -3). Find y such that 1 - 25/8*y**5 - p*y**3 + 15*y**4 + 83/4*y**2 - 15/2*y = 0.
2/5, 1, 2
Let r(z) = -7*z**3 + 91*z**2 - 94*z - 194. Let w(m) = 66*m**3 - 817*m**2 + 847*m + 1749. Let t(b) = 38*r(b) + 4*w(b). Factor t(l).
-2*(l - 94)*(l - 2)*(l + 1)
Suppose 143*y - 364 - 1022 = -319*y. Factor -6/5*a + 8/5*a**2 - 2/5*a**y + 0.
-2*a*(a - 3)*(a - 1)/5
What is g in -6*g + 1/4*g**3 + 1/2*g**2 + 0 = 0?
-6, 0, 4
Let c(r) be the third derivative of -r**5/30 - 691*r**4/6 + 4329*r**2. Factor c(k).
-2*k*(k + 1382)
Let h = 573 + -570. Factor -29*b**3 + 17*b**3 + 8*b**2 + h*b**4 + 0*b**3 + b**4.
4*b**2*(b - 2)*(b - 1)
Let c(q) be the second derivative of 9/14*q**2 + 1/7*q**3 - 3 - 1/28*q**4 - 14*q. Factor c(i).
-3*(i - 3)*(i + 1)/7
Let u(j) be the second derivative of -1/8*j**4 - 1/28*j**7 - 1/2*j**3 + 0*j**2 + 18 + 9/40*j**5 + 1/20*j**6 - j. What is s in u(s) = 0?
-1, 0, 1, 2
Let s(x) be the third derivative of 0*x**3 + 1/10*x**5 + 0 - 27*x - 149/240*x**6 + 5/12*x**4 - 1/28*x**7 + x**2. Find n, given that s(n) = 0.
-10, -1/3, 0, 2/5
Let w(g) be the third derivative of -g**7/70 - 31*g**6/40 - 357*g**5/20 - 1809*g**4/8 - 1701*g**3 - g**2 + 29*g + 1. Factor w(q).
-3*(q + 6)*(q + 7)*(q + 9)**2
Suppose -5*p - 33 - 22 = 0. Let s = -9 - p. Factor 7*d**s + 24*d - 5*d**2 + 7 + 21 - 6*d**2.
-4*(d - 7)*(d + 1)
Determine q so that q**3 + 1/3*q**4 + 0 + 0*q**2 + 0*q = 0.
-3, 0
Let n = -10/281 - -8269/3372. Let d(k) be the first derivative of 67/9*k**3 + 4/15*k**5 - n*k**4 - 14 + 3*k - 17/2*k**2. Find x such that d(x) = 0.
1/4, 1, 3
Let s(o) be the third derivative of -1/210*o**7 + 0 - o + 0*o**4 - 1/336*o**8 + 1/120*o**6 - 66*o**2 + 1/60*o**5 + 0*o**3. Factor s(p).
-p**2*(p - 1)*(p + 1)**2
Let i(f) be the first derivative of f**3/9 - f/3 - 733. Solve i(y) = 0.
-1, 1
Let b(k) = 9*k**2 + 113*k + 155. Let n(t) = -4*t**2 - 54*t - 78. Let y(g) = -2*b(g) - 5*n(g). Factor y(s).
2*(s + 2)*(s + 20)
Let m(z) be the third derivative of 0*z - 19/96*z**4 - 1/240*z**6 + 1/4*z**3 + 40*z**2 + 1/16*z**5 + 0. Determine b, given that m(b) = 0.
1/2, 1, 6
Let y(k) be the first derivative of k**3 + 18*k**2 + 917. Let y(x) = 0. Calculate x.
-12, 0
Factor -172*v**4 - 4370*v**2 + 218*v**5 - 107*v**5 - 1352 + 4160*v - 109*v**5 + 1670*v**3 + 62*v**4.
2*(v - 26)**2*(v - 1)**3
Let l be (-610)/427*(1 + (-56)/(-35) + -3). Factor -24/7*g**2 - 16/7*g - l*g**4 + 32/7 + 20/7*g**3.
-4*(g - 2)**3*(g + 1)/7
Let f = -548652 + 176666573/322. Let y = f - 11/46. Factor -y - 3/7*p**2 - 12/7*p.
-3*(p + 2)**2/7
Let q = 123649/15 + -49459/6. Factor q*s**5 + 18/5*s**3 - 16/5*s - 16/5*s**2 + 24/5 - 11/10*s**4.
(s - 6)*(s - 2)**3*(s + 1)/10
Let n(l) be the first derivative of -l**6/165 + 2*l**5/55 - l**4/22 - 23*l - 65. Let f(k) be the first derivative of n(k). Suppose f(s) = 0. Calculate s.
0, 1, 3
Let s(h) = h**4 - h**2 - h + 1. Suppose -390*g + 396*g = -30. Let q(j) = 4*j**4 + 12*j**3 + 8*j**2 - 3*j + 3. Let i(d) = g*q(d) + 15*s(d). Factor i(l).
-5*l**2*(l + 1)*(l + 11)
Factor 0 + 1/6*b**2 + 3253/6*b.
b*(b + 3253)/6
Solve 41*t - 10147*t**3 - 2996*t**2 + 42*t + 162 + 7194*t**3 - 36*t**4 = 0 for t.
-81, -1, -1/4, 2/9
Suppose 0 = 4*w - 3*j - 135, -5*w + 118 = -2*j - 42. Factor -55*r**2 + 40/3 + w*r + 35/3*r**3.
5*(r - 4)*(r - 1)*(7*r + 2)/3
Let g(n) be the third derivative of 1/20*n**5 + n**2 - 4*n - 1/4*n**4 + 0 + 3/2*n**3. Let o(f) = -7*f**2 + 12*f - 18. Let k(u) = 5*g(u) + 2*o(u). Factor k(d).
(d - 3)**2
Let v(s) be the first derivative of -24/5*s - 2/45*s**3 + 78 + 4/5*s**2. Determine j so that v(j) = 0.
6
Let w(t) be the first derivative of -t**4/10 - 872*t**3/5 - 429021*t**2/5 - 1705636*t/5 + 9680. Factor w(o).
-2*(o + 2)*(o + 653)**2/5
Let l(c) = 4534*c + 13604. Let f be l(-3). Solve -25/2 - 5/2*w - 1/8*w**f = 0 for w.
-10
Let z be 630/18 - (-279)/(-8). Find u such that 1/8*u**3 - z*u**2 - u + 3/2 = 0.
-3, 2
Factor -858050/13 - 855430/13*l - 2/13*l**3 + 2618/13*l**2.
-2*(l - 655)**2*(l + 1)/13
Suppose 5*w - 2*n = 14, -2*n + 4 = 3*w - n. Factor -30*s - 6*s**3 - 8 - 10*s**w - 17*s**2 - 3 + 2.
-3*(s + 1)*(s + 3)*(2*s + 1)
Let z be 203/28 