- 44*z**a + z**5 + 16*z = 0?
0, 1, 2, 4
Let a(p) be the first derivative of p**7/2940 + 13*p**6/1260 + 4*p**5/35 + 3*p**4/7 - 74*p**3 + 127. Let m(x) be the third derivative of a(x). Factor m(u).
2*(u + 1)*(u + 6)**2/7
Let b = 5899 - 5894. Let c(t) be the first derivative of 0*t + 128/21*t**3 + 12/7*t**2 - 16 + 10/7*t**b + 95/14*t**4. Factor c(x).
2*x*(x + 3)*(5*x + 2)**2/7
Let f(c) be the first derivative of c**7/4620 - c**6/180 + 2*c**5/55 + 3*c**4/11 + 73*c**3/3 + 31. Let l(i) be the third derivative of f(i). Factor l(g).
2*(g - 6)**2*(g + 1)/11
Let g(j) be the third derivative of -j**7/210 + 737*j**6/120 - 147*j**5/4 + 2203*j**4/24 - 367*j**3/3 - 79*j**2 + 2*j. Factor g(u).
-(u - 734)*(u - 1)**3
Let v(l) be the first derivative of l**4/60 - 5*l**3/3 + 125*l**2/2 - 161*l + 110. Let r(b) be the first derivative of v(b). Factor r(x).
(x - 25)**2/5
Let z(y) be the second derivative of -y**7/21 + 236*y**6/15 - 6843*y**5/5 - 14042*y**4/3 - 14161*y**3/3 + 1581*y. Factor z(f).
-2*f*(f - 119)**2*(f + 1)**2
Let u(o) = 2*o**2 + 14*o + 14. Let s be u(-1). Factor -3*z + 5*z - z**s + 2*z**2.
z*(z + 2)
Let z = -293 + 494. Find p, given that -2*p**3 + z*p**2 + 11*p**3 - 375*p**2 + 55 + 201*p + 23 + 306*p**2 = 0.
-13, -1, -2/3
Let y be (-210)/27 + 7 - -1. Factor 34/9*t - y*t**2 + 0.
-2*t*(t - 17)/9
Let x = 7957 - 7951. Let r(l) be the first derivative of 2/5*l**2 - 8/25*l**5 - 2/15*l**x + 0*l + 8 + 8/15*l**3 + 0*l**4. Factor r(p).
-4*p*(p - 1)*(p + 1)**3/5
Let n(u) be the first derivative of 3*u**4/20 - 9*u**3 + 1077*u**2/10 - 189*u - 3016. Determine p, given that n(p) = 0.
1, 9, 35
Let 224*t - 520*t**2 + 525*t**2 + 403*t + 1208*t = 0. Calculate t.
-367, 0
Suppose -137*d + 88935 = 710*d. Find x, given that -25/2*x**4 + d*x**2 + 135/2 + 5*x**3 - 5/2*x**5 + 315/2*x = 0.
-3, -1, 3
Suppose 32 = 5*p + 5*k + 11 + 1, -4 = -k. Factor p*n + 0*n**3 + 0*n**2 + 0 - 2/7*n**5 - 2/7*n**4.
-2*n**4*(n + 1)/7
Let v = 14/303 + -153/4040. Let b(z) be the second derivative of -2*z - 1/72*z**4 + 0 + 0*z**2 + 1/180*z**6 + 1/36*z**3 - v*z**5. What is y in b(y) = 0?
-1, 0, 1
Suppose 0*i + 3*i = 8*i - 16*i. Let s(b) be the third derivative of 1/5*b**3 - 5*b**2 + 3/40*b**4 + 1/100*b**5 + i + 0*b. Suppose s(c) = 0. Calculate c.
-2, -1
Find n, given that 31*n**4 - 2*n**5 + 276*n**2 + 5*n**4 + 9*n**5 - 1517*n**3 - 5*n**5 + 1683*n**3 + 144*n = 0.
-12, -3, -2, -1, 0
Let p(r) be the second derivative of -1/6*r**4 + 11 - 1/60*r**5 + 0*r**2 + 0*r**3 + 2*r. Let p(x) = 0. Calculate x.
-6, 0
Let i be (3/30)/(-9 + (-20230)/(-2244)). Factor -3/5*h**3 - i*h**2 + 0 - 6*h.
-3*h*(h + 1)*(h + 10)/5
Let p be 6/21 + ((-26)/(-7) - 1). Suppose 7 = 3*h - w + p, 5*h = -5*w + 20. What is z in -13*z**h + 3*z**2 - 6*z - 20*z**3 + 2*z**5 + 8*z**3 - 6*z**2 = 0?
-1, 0, 3
Suppose 3*q - 6 = -3, -787 = 4*z - 3*q. Let o = z + 199. Solve 4/3*w**o + 4/3*w - 10/3*w**2 + 0 = 0 for w.
0, 1/2, 2
Let q(m) = 1. Let f(z) = 75*z - 3. Let v(k) = -f(k) - 4*q(k). Let t be v(-2). Let 131*o + 0*o**3 - 12*o**2 - t*o - 2*o**3 = 0. Calculate o.
-3, 0
Let x be (-120)/(-28) + 8/(-28). Suppose x = p - 10. Find w, given that -4*w**4 - 4*w**3 - 14 + 13*w**2 - 12*w + p + 7*w**2 = 0.
-3, 0, 1
What is v in 80891*v**4 - 9718*v**2 - 13540*v**4 - 112121*v**3 - 68921*v**5 - 10715*v**3 + 134369*v**4 - 243*v - 2 = 0?
-1/41, 1, 2
Let r(u) be the first derivative of -5*u**4/4 - 425*u**3/3 + 215*u**2 + 2540. Factor r(d).
-5*d*(d - 1)*(d + 86)
Let s be 344/(-44) - (-4)/(-22). Let o be (s/(-2))/4 + -1. Factor 2*t**3 - 3/2*t - 1 - 1/2*t**5 + t**2 + o*t**4.
-(t - 2)*(t - 1)*(t + 1)**3/2
Suppose 5569*v = 5574*v - 3*m + 6, 0 = 3*v + m - 16. Let d be (1/(-24))/((-9)/27). Factor -25/4*f - d*f**4 - 7/4*f**v + 125/8 - 15/2*f**2.
-(f - 1)*(f + 5)**3/8
Find o, given that -o**4 + 0 - 11/4*o**3 + 0*o + 1/4*o**5 - 3/2*o**2 = 0.
-1, 0, 6
Let o(u) = 6*u**2 + 290*u + 1302. Let t be o(-5). Suppose 18/7*y**t - 3/7*y**4 - 24/7 - 3/7*y**3 + 12/7*y = 0. What is y?
-2, 1, 2
Determine u, given that 163*u**2 - 29*u**2 + 2*u**5 - 80*u**3 + 90*u**2 - 2*u**4 = 0.
-7, 0, 4
Suppose 7*b = 53 + 59. Suppose 7*j - b - 40 = 0. Factor j*a**2 + 7*a**2 + 8*a**3 + 4*a - 22*a**2 - 5*a**2.
4*a*(a - 1)*(2*a - 1)
Let b = 94979/10 - 47482/5. Determine h so that -b + 2*h - 1/2*h**2 = 0.
1, 3
Let x be (0 - -1) + (-4 - -5). Factor -27594*i**3 - i - 2*i**x - 2*i**2 + 4 + 27595*i**3.
(i - 4)*(i - 1)*(i + 1)
Let v be (11 + 49)*(-2)/15*-6. Find c, given that -v - 24 + 2*c**2 + 5*c - 35*c + c**2 = 0.
-2, 12
Let x be 2046/15345 + 106/105. Let 24/7*h**2 - 26/7*h**3 + 0 + 12/7*h**4 - 2/7*h**5 - x*h = 0. What is h?
0, 1, 2
Let j(d) = d**3 + 6*d**2 - 10*d - 16. Let s be j(-7). Let -194*v**2 + 30*v + 17*v**4 - 30*v**3 + 28*v**4 + 139*v**2 - 10*v**s = 0. Calculate v.
-1, 0, 1/2, 2, 3
Let o(k) be the second derivative of -k**5/30 + 5*k**4/6 + 11*k**3/3 - 18*k**2 - k + 2. Let t(n) be the first derivative of o(n). Factor t(z).
-2*(z - 11)*(z + 1)
Let -3/4*j**5 - 15/2*j**2 + 12*j - 45/4*j**3 + 0 + 15/2*j**4 = 0. Calculate j.
-1, 0, 1, 2, 8
Factor 252/5*x + 1/5*x**4 - 648/5 + 37/5*x**3 + 358/5*x**2.
(x - 1)*(x + 2)*(x + 18)**2/5
Let r(y) = 15*y**4 + 708*y**3 + 41748*y**2 - 2880*y - 167064. Let f(u) = u**4 - u**2 - 4*u + 2. Let d(j) = 12*f(j) - r(j). Solve d(s) = 0 for s.
-118, -2, 2
Let t(x) be the first derivative of x**4/16 - 49*x**3/12 - 101*x**2/8 - 51*x/4 + 2743. Factor t(g).
(g - 51)*(g + 1)**2/4
Suppose 31/8 + 15/4*t - 1/8*t**2 = 0. Calculate t.
-1, 31
Let k(f) be the third derivative of -f**8/336 - f**7/210 + 3*f**6/40 + 3*f**5/20 - 3137*f**2. Solve k(c) = 0 for c.
-3, -1, 0, 3
Let p = 414 + -408. Factor 9*r**4 + p*r**4 + 5*r**4 - 20*r**2 - 15*r**4 + 40*r - 16*r**3 + 6*r**3.
5*r*(r - 2)**2*(r + 2)
Let h(b) be the third derivative of -b**5/30 + 3*b**4/4 + 10*b**3/3 + 611*b**2. Suppose h(i) = 0. Calculate i.
-1, 10
Let l(o) be the first derivative of o**5/20 - 63*o**4/16 + 341*o**3/4 - 961*o**2/8 - 261. Find f such that l(f) = 0.
0, 1, 31
Let o(n) = -4*n**4 + 104*n**3 - 187*n**2 + 105*n - 3. Let f(r) = -7*r**4 + 208*r**3 - 380*r**2 + 209*r - 5. Let k(a) = -6*f(a) + 10*o(a). Factor k(s).
2*s*(s - 102)*(s - 1)**2
Suppose -26*b = 10*b - 108. Let g(v) be the third derivative of -1/390*v**5 + 0 + 1/780*v**6 + 0*v**4 - 27*v**2 + 0*v**b + 0*v. Determine y so that g(y) = 0.
0, 1
Let x(r) be the first derivative of 2*r**3/15 + 398*r**2/5 - 798*r/5 + 2364. Factor x(t).
2*(t - 1)*(t + 399)/5
Let y(z) be the third derivative of -2738*z**6/15 - 74*z**5/15 - z**4/24 + 2056*z**2 - z. Factor y(d).
-d*(148*d + 1)**2
Determine i so that 12/5*i**2 + 16/5*i - 3/5*i**4 + 1/5*i**5 + 0 - 8/5*i**3 = 0.
-2, -1, 0, 2, 4
Let f be 26/((-2)/(-15) - (-7)/35). Factor -160*b**2 + f*b**2 + 20 + 16*b + 78*b**2.
-4*(b - 5)*(b + 1)
Suppose 2*d - d - 10 = -3*j, 0 = -3*j + d + 2. Factor -25*f**j + 4 - 5*f**3 + 8*f + 21 - 3*f.
-5*(f - 1)*(f + 1)*(f + 5)
Let q be (28/4)/(3*2/696). Let w be 3 + 4 + 10 + q/(-49). Solve 0 + 6/7*b**3 + 0*b + 3/7*b**2 + w*b**4 = 0.
-1, 0
Let x(l) be the third derivative of 1/45*l**5 + 0*l + 1/180*l**6 - 1/12*l**4 + 0*l**3 + 0 - 24*l**2. Solve x(q) = 0 for q.
-3, 0, 1
Let n = -32 + 97/3. Let h = 174478 + -174476. Factor 4/3*s**h + 0 - n*s.
s*(4*s - 1)/3
Suppose -4*k + 9 = -k, -k = -s + 6. Let b be (-2)/s + (-2024)/(-36). Solve 227*h**2 - 200*h - 500 - b*h**3 - 203*h**4 + 13*h**2 + 207*h**4 = 0 for h.
-1, 5
Let s(r) = 5*r**3 + 163*r**2 - 373*r - 543. Let p(t) = 70*t**3 + 2280*t**2 - 5220*t - 7600. Let h(q) = 6*p(q) - 85*s(q). Let h(k) = 0. What is k?
-37, -1, 3
Let f = 9965/11 + -19919/22. Let -2/5*g**2 - f*g - 1/10*g**3 - 1/5 = 0. Calculate g.
-2, -1
Let q = 1966 + -1974. Let g be (q - 1572/(-198))*-11. Factor 7/3*p**2 - 4/3 - 4/3*p - g*p**3.
-(p - 2)**2*(2*p + 1)/3
Let m(p) be the third derivative of -p**7/560 - 1061*p**6/320 - 11781*p**5/5 - 710512*p**4 - 13629440*p**3 - 243*p**2 - 13*p. What is d in m(d) = 0?
-352, -5
Let m be 3*(-1 - -1*2). Let d = -487 + 491. What is n in -n**m - 4*n + 5*n**3 - 4*n**2 + d*n**2 = 0?
-1, 0, 1
Let i(y) = -62*y + 119*y - 56*y. Let n(l) = -4*l**3 - 44*l**2 - 156*l - 100. Let p(t) = 16*i(t) + n(t). Factor p(r).
-4*(r + 1)*(r + 5)**2
Let d(h) be the third derivative of -h**5/150 - 5*h**4/12 - 4231*h**2. Factor d(x).
-2*x*(x + 25)/5
Let m(t) be the third derivative of -t**6/660 - 727*