7*m**3 + 13 - 1/540*m**6 + 5/54*m**4 + 0*m. Factor f(p).
-2*(p - 4)*(p + 1)*(p + 2)/9
Let n = 18/59 - 13/236. Let t(f) be the second derivative of -2*f**3 + 0 - n*f**4 - 20*f - 9/2*f**2. Suppose t(s) = 0. What is s?
-3, -1
Let c be 66/18 + -5 - (-59004)/27. Let j = 2187 - c. Find g such that -2/11*g**j + 6/11 + 10/11*g**2 - 14/11*g = 0.
1, 3
Suppose 0 - 1/2*b**2 - 99/2*b = 0. What is b?
-99, 0
Let p(m) = m**3 - 7*m**2 - 20*m + 20. Let h be p(9). Factor -48*g**2 - 30*g - 53*g**2 - 49*g**h + 152*g**2.
2*g*(g - 15)
Let b(i) = -i**3 + 3*i**2 - 2*i. Let y(t) = -70*t**2 + 282*t - 284. Let a(r) = b(r) + y(r). Factor a(d).
-(d - 2)**2*(d + 71)
Let u(n) = -n**2 - 395*n - 1950. Let i be u(-5). Determine t, given that -15/2*t + 10*t**3 - 5*t**2 + 5 + i*t**4 - 5/2*t**5 = 0.
-2, -1, 1
Suppose -217*m - 1560 - 58*m + 6*m - 21*m - 5*m**2 = 0. Calculate m.
-52, -6
Let n(r) be the first derivative of 2*r**3/21 - 100*r**2/7 + 582*r/7 + 2294. Factor n(i).
2*(i - 97)*(i - 3)/7
Let o = 5/3067 + 3057/6134. Determine q, given that o*q**2 + 3/2*q**3 + 0 + 3/2*q**4 + 0*q + 1/2*q**5 = 0.
-1, 0
Suppose 5*b - 15 = 0, 7*b - 12*b + 23 = 4*r. Suppose 14 = r*j - 4*d, -3*d + 7*d - 1 = -3*j. Let 9/2*n**3 + 0*n - j*n**2 - 3/2*n**4 + 0 = 0. Calculate n.
0, 1, 2
Determine i so that 533*i**2 + 65*i - 532*i**2 + 47*i - 274 + 23*i = 0.
-137, 2
Suppose -3*i - 3*j - 27 + 9 = 0, -28 = 2*i - 2*j. Let z be (-2 + 33 + 3)*(-5)/i. Factor -z*l**2 - 59*l**2 + 8*l**4 + 162*l + 22*l**3 - 108 - 10*l**4 - 14*l**2.
-2*(l - 3)**3*(l - 2)
Let a(z) = -174*z + 176. Let k be a(1). Suppose -13 = -4*d - 0*d - n, 5*n - 11 = -k*d. Factor 35/6*i + 5*i**2 - 5/6*i**d + 0.
-5*i*(i - 7)*(i + 1)/6
Let u(d) be the second derivative of d**4/60 + 4*d**3/3 - 50*d**2 + 2*d - 1795. Factor u(q).
(q - 10)*(q + 50)/5
Factor 2/17*t**2 + 644/17*t + 642/17.
2*(t + 1)*(t + 321)/17
Suppose -1 + 11 = -3*o + 8*g, g = 5*o - 8. Solve -4*z**3 + 0 + 0*z + 48/7*z**o + 4/7*z**4 = 0.
0, 3, 4
Let i = 876 + -878. Let d be (i/(-6))/((-124)/(-744)). Factor 0 + 0*n**d - 10/7*n**3 + 0*n - 2/7*n**4.
-2*n**3*(n + 5)/7
Let g = -467 + 470. Let c(u) be the third derivative of -1/18*u**g + 0*u - 1/180*u**5 + 17*u**2 - 1/36*u**4 + 0. Factor c(v).
-(v + 1)**2/3
Let -3*m**3 + m**4 + 453*m + 0*m**3 + 2*m**3 + 0*m**2 - 12*m**2 - 425*m - 16 = 0. Calculate m.
-4, 1, 2
Let w = -1135 - -1134. Let o(i) = -2*i**2 - 2*i. Let g be o(w). Factor 0*n - 2/3*n**2 + 2/3*n**3 + g.
2*n**2*(n - 1)/3
Determine y, given that 1229*y + 1169*y - 2911*y - 528 + 18*y**2 + 3*y**3 = 0.
-16, -1, 11
Factor -2/5*j**2 - 54/5*j + 476/5.
-2*(j - 7)*(j + 34)/5
Let c(y) be the first derivative of y**5/30 - 7*y**4/6 + 79*y**3/6 - 129*y**2/2 + 144*y + 3968. Factor c(p).
(p - 16)*(p - 6)*(p - 3)**2/6
Let v(y) be the second derivative of -2*y**6/15 + 26*y**5/5 - 35*y**4 - 5913*y. Find n, given that v(n) = 0.
0, 5, 21
Let o(p) be the third derivative of -p**5/30 - 27*p**4/4 + 1552*p**3/3 - 262*p**2 + p - 4. Factor o(a).
-2*(a - 16)*(a + 97)
Suppose -2*f + 4 = -2. Suppose -5*s - 4*d + 13 = -23, d - 8 = -s. What is q in -3*q - 3 - s - 2 + 5*q**2 - q**f = 0?
-1, 3
Let r(o) be the first derivative of o**6/45 + 78*o**5/25 + 797*o**4/5 + 152588*o**3/45 + 113627*o**2/5 + 303918*o/5 - 3867. Factor r(q).
2*(q + 3)**2*(q + 37)**3/15
Let g be 4/(-18) + -9 + 2050/(-90). Let l(f) = -14*f - 448. Let b be l(g). Find y such that 4/3*y**3 + b*y**2 + 0 - 4/3*y = 0.
-1, 0, 1
Let p = -16/1499 + 1547/4497. Factor p*v**2 + 300 + 20*v.
(v + 30)**2/3
Let a be 327/(-990) - (-30)/90. Let d(h) be the third derivative of a*h**5 + 0 - 1/66*h**4 + 0*h**3 + 0*h - 12*h**2. Factor d(x).
2*x*(x - 2)/11
Determine l, given that -30*l + 2/3*l**2 + 324 = 0.
18, 27
Factor 2/3*z**2 + 214/3*z + 0.
2*z*(z + 107)/3
Find b, given that 53*b + 10*b**3 - 43*b - 155*b**2 + 169*b + 162*b + 274*b - 270 = 0.
1/2, 6, 9
Let h(i) be the first derivative of -i**4 - 16*i**3 - 22*i**2 - 14. Let o(z) = 4*z**3 + 48*z**2 + 44*z. Let b(y) = 7*h(y) + 6*o(y). Factor b(s).
-4*s*(s + 1)*(s + 11)
Let b = 232979/41615 + 13/8323. Factor b*m + 4*m**2 + 4/5*m**3 + 12/5.
4*(m + 1)**2*(m + 3)/5
Let z(u) = -u**3 - 7*u**2 - u + 1. Let h(x) = 125*x**4 - 13*x**3 - 146*x**2 + 7*x + 3. Let n(w) = -h(w) + 3*z(w). Find k such that n(k) = 0.
-1, 0, 2/25, 1
Let a(w) be the third derivative of w**7/735 - 9*w**6/70 + 424*w**5/105 - 32*w**4 - 3072*w**3/7 - 12*w**2 - 63*w. Solve a(r) = 0.
-2, 8, 24
Let r(l) = 5*l**4 - 13*l**3 + 99*l**2 + 173*l + 8. Let k(f) = -3*f**4 + 8*f**3 - 66*f**2 - 116*f - 5. Let y(h) = -8*k(h) - 5*r(h). Suppose y(a) = 0. What is a?
-3, 0, 7
Suppose -205*w = -200*w - 250. Factor -6*s**3 - 19*s**4 - w*s**3 + 23*s**4 - 4*s**2 + 56*s.
4*s*(s - 14)*(s - 1)*(s + 1)
Let j = -379/667 - -46781/1334. Let 105/2*a**2 + 225*a**3 - 9 - j*a = 0. What is a?
-1/3, -3/10, 2/5
Let b(k) be the first derivative of 2*k**5/5 - 387*k**4/2 + 33282*k**3 - 2146689*k**2 + 1576. Solve b(n) = 0 for n.
0, 129
Let a be 1203/(-7619) + (-73)/19 + (-90)/(-21). What is q in 256*q + 64/7*q**3 - 224 - 624/7*q**2 - a*q**4 = 0?
2, 14
Let p be (-2)/(-21) + -7*22/1617. Suppose -7*z - 3*z = p. Find n, given that 6/11*n**2 - 2/11*n**5 + 0 + 10/11*n**4 - 14/11*n**3 + z*n = 0.
0, 1, 3
Let n(o) be the first derivative of 27 + o + 1/5*o**5 + 13/4*o**2 - 13/4*o**4 - 2/3*o**3 + 13/12*o**6. What is b in n(b) = 0?
-1, -2/13, 1
Let -216 + 20*j**3 + 106*j - 12*j**2 + 4*j**4 - 30*j - 241*j - 15*j = 0. Calculate j.
-3, -2, 3
Let d(z) = 5*z**3 - 17*z**2 + 59*z + 361. Let a(u) = 12*u**3 - 33*u**2 + 120*u + 721. Let h(c) = 2*a(c) - 5*d(c). Determine w so that h(w) = 0.
-3, 11
Let a(h) be the first derivative of -h**6/210 - h**5/56 - h**4/56 - 44*h**3/3 - 131. Let p(q) be the third derivative of a(q). Factor p(f).
-3*(f + 1)*(4*f + 1)/7
Let c(x) be the second derivative of x**7/210 - x**6/150 - 9*x**5/100 + x**4/60 + 2*x**3/3 + 6*x**2/5 - 3524*x. Find n such that c(n) = 0.
-2, -1, 2, 3
Suppose -3*j = -6, a + 4 + 1 = 4*j. Let n(t) be the first derivative of a + t**5 - 5*t**3 - 11 - 3*t**2 - 2*t**2. Factor n(r).
5*r*(r - 2)*(r + 1)**2
Let m = 110 - 89. Suppose 34 = m*s - 4*s. Factor -5/4*q**s + 3/4*q**3 - 1/4*q**5 + 1/4*q**4 + 1/2*q + 0.
-q*(q - 1)**3*(q + 2)/4
Suppose 12*r = 8 + 28. Suppose -3*j + 16 = -5*f, 3*j - 4 = r*f + 8. Determine k so that 12/5*k + 3*k**4 + 51/5*k**3 + 0 + 48/5*k**j = 0.
-2, -1, -2/5, 0
Let w(n) = n**3 + 4*n**2 - 5*n + 2. Let h be w(1). Factor 7*k**2 + 6*k**2 - 2 + 14*k**2 - 25*k**h.
2*(k - 1)*(k + 1)
Let f(t) = 2024*t**5 - 2300*t**4 + 732*t**3 - 92*t**2 - 8*t - 4. Let c(z) = -z**5 - 3*z**4 - 5*z**2 - 2*z - 1. Let j(d) = -4*c(d) + f(d). Solve j(k) = 0.
0, 3/13, 2/3
Let l(g) be the first derivative of -3*g**4/10 + 42*g**3/5 - 168*g**2/5 + 216*g/5 - 2427. Find s such that l(s) = 0.
1, 2, 18
Let i(u) be the first derivative of -28*u + 1/48*u**4 - 9 + 0*u**3 + 0*u**2 - 1/80*u**5. Let t(x) be the first derivative of i(x). Find q, given that t(q) = 0.
0, 1
Let h(i) be the third derivative of -i**7/140 + 63*i**6/5 - 47628*i**5/5 + 4000752*i**4 - 1008189504*i**3 - 1721*i**2. Let h(x) = 0. Calculate x.
252
Find s such that -2/13*s**4 + 0 - 44/13*s**3 - 280/13*s**2 - 400/13*s = 0.
-10, -2, 0
Let m(h) = -1. Let r(s) = 2*s**3 + 10*s**2 + 8*s + 6. Let q(f) = -7*f**3 - 4*f**2 - 4*f - 1. Let b be q(-1). Let a(g) = b*m(g) + r(g). Factor a(y).
2*y*(y + 1)*(y + 4)
Let q be 38/45 + 0 - 10/25. Suppose 5*w = 3*x + 9 + 9, 4*x - 46 = -5*w. Let 1/9*s**x + 0 + 1/9*s**3 - 4/9*s**2 - q*s = 0. Calculate s.
-2, -1, 0, 2
Suppose -43/7*y - 23/7*y**2 + 43/7*y**3 + 5/7*y**4 + 18/7 = 0. Calculate y.
-9, -1, 2/5, 1
Let z(d) = 9*d**3 - 3*d**2 + 7*d + 11. Let y(l) = -2*l**3 - l**2 - 2*l - 1. Suppose 12*g + 18 = -18. Let i(w) = g*z(w) - 12*y(w). Factor i(m).
-3*(m - 7)*(m - 1)*(m + 1)
Let k(v) be the first derivative of -1/72*v**6 + 1/24*v**5 + 5/4*v**4 + 0*v - 28 + 0*v**2 - 20/3*v**3. Let l(x) be the third derivative of k(x). Factor l(t).
-5*(t - 3)*(t + 2)
Let x(u) be the third derivative of u**5/90 + 181*u**4/6 + 32761*u**3 + 892*u**2. Factor x(a).
2*(a + 543)**2/3
Let w(y) be the third derivative of y**5/30 + 19*y**4/6 + 55*y**3 - 5*y**2 - 350. Factor w(u).
2*(u + 5)*(u + 33)
Suppose 37 = -4*i + 17. Let d be i + (-400)/(-90) - (-1)/1. Determine l, given that 14/9*l**2 + 10/9*l**4 + 2*l**3 + 0 + d*l + 2/9*l**5 = 0.
-