ctor r(f).
f*(f - 4)*(f + 2)*(11*f - 2)/9
Suppose 35*y - 4*l + 12 = 31*y, -23 = -4*y - 3*l. Suppose 685 - 122*a**y - 4*a**3 + 759 + 51*a**2 - 77*a**2 - 1292*a = 0. What is a?
-19, 1
Factor 99*p**2 + 24 + 16*p**4 + 44*p - 128*p - 96*p**3 + 49*p**2 - 8.
4*(p - 4)*(p - 1)*(2*p - 1)**2
Factor -9*a**3 - 31*a**2 - 18*a**2 + 172*a - 116 + 2*a**3 - 6*a**2 + 6*a**3.
-(a - 2)*(a - 1)*(a + 58)
Determine c so that 14792/9 + 346/9*c**2 - 15136/9*c - 2/9*c**3 = 0.
1, 86
Let n(s) = -s**5 + 2*s**4 + 13*s**3 - 2*s**2 + 6. Let p(x) = 4*x**5 - 8*x**4 - 54*x**3 + 8*x**2 - 25. Let l(m) = -25*n(m) - 6*p(m). Let l(a) = 0. What is a?
-1, 0, 1, 2
Suppose -8*j + 35 = -j. Suppose 9*p = 9*p - j*p. Factor -2/19*k + p - 2/19*k**2.
-2*k*(k + 1)/19
Determine b, given that -9*b**2 + 4*b**2 - 355*b - 163926 + 165036 = 0.
-74, 3
Suppose -128/7 - 36/7*u**4 + 52/7*u**3 + 128/7*u + 344/7*u**2 = 0. Calculate u.
-2, -1, 4/9, 4
Suppose 580*d - 1185 - 2379 = 3*d - 314*d. Determine h so that 2*h**3 - 2/7*h**d + 0 - 2/7*h**5 + 26/7*h**2 + 12/7*h = 0.
-2, -1, 0, 3
Let a(q) be the second derivative of -4*q + 7 + 2/9*q**3 + 1/18*q**4 + 0*q**2. Factor a(i).
2*i*(i + 2)/3
Let t(j) be the second derivative of j**4/48 + 205*j**3/24 - 103*j**2/4 - 1147*j. Factor t(y).
(y - 1)*(y + 206)/4
Let z(l) = -4*l**3 - 26*l**2 - 22*l - 8. Let k(m) be the first derivative of -m**4/4 + m + 22. Let a(j) = 4*k(j) + z(j). Determine r, given that a(r) = 0.
-2, -1, -1/4
Let i(a) be the first derivative of -7*a**6/120 + 19*a**5/60 + 17*a**4/12 + 4*a**3/3 - 4*a**2 + 9*a - 7. Let c(d) be the second derivative of i(d). Factor c(p).
-(p - 4)*(p + 1)*(7*p + 2)
Let g be 0/((-12)/3) + 12. Suppose 21*y = 18*y + g. Solve -2*r**5 - 12*r**5 - 4*r**3 + 79*r**y - 61*r**4 = 0.
0, 2/7, 1
Determine n, given that -9548875195 + 29040000*n - 5293773522 - 4352056232 + 2*n**3 - 13200*n**2 - 2101295051 = 0.
2200
Let s(b) be the second derivative of -b**7/56 - 17*b**6/30 - 301*b**5/80 + 117*b**4/4 + 198*b**3 - 216*b**2 - 6*b - 183. Determine r so that s(r) = 0.
-12, -3, 1/3, 4
Factor 28*r + 911 + 2*r**3 - 2*r**2 - 1822 + 927 + 16*r**2.
2*(r + 1)*(r + 2)*(r + 4)
Let s(o) be the second derivative of -o**2 + 3/20*o**5 - 3 - 21*o + 7/6*o**3 - 2/3*o**4. Determine n so that s(n) = 0.
2/3, 1
Let a(m) be the third derivative of m**8/448 + 2*m**7/35 - 3*m**6/20 - 53*m**5/40 + 215*m**4/32 - 51*m**3/4 - m**2 - 514*m - 2. Determine y so that a(y) = 0.
-17, -3, 1, 2
Suppose -2*w = 4*g - 8, 5*w + 0*w + 5*g = 25. Suppose -4*b + w*b - 4 = 0. Factor 228*n**4 - 8*n**3 - 232*n**4 - 2*n + b*n.
-4*n**3*(n + 2)
Suppose 3*q = 2*y + 14, 6 = -6*q + 3*q - 3*y. Let m(c) = -32*c**2 - 3*c + 6. Let l(p) = 97*p**2 + 9*p - 21. Let w(f) = q*l(f) + 7*m(f). Factor w(i).
-3*i*(10*i + 1)
Let n = -89 + 56. Let p be (-3248)/(-44) - 6/n. What is x in -65*x**2 + 6*x - x**4 + p*x**2 - 2*x**4 = 0?
-1, 0, 2
Let l(b) = b**3 - 3. Let y(r) = 3175 + 3184 - 16*r**3 + 12*r - 6315. Let i(v) = 12*l(v) + y(v). Find a, given that i(a) = 0.
-1, 2
Let b(r) be the third derivative of 0*r**4 + 0*r + 0*r**3 - 1/300*r**5 + 0 + 64*r**2. Factor b(g).
-g**2/5
Let m be (4720/25)/((-6)/(-15)). Factor -13*y**2 + 380 - 180*y - 71*y**2 + y**3 + 3*y**3 - m.
4*(y - 23)*(y + 1)**2
Let s = 21351 - 21348. Let m(o) be the first derivative of 1/27*o**6 + 0*o**5 - 4/9*o + 1/3*o**2 + 4/27*o**s - 15 - 2/9*o**4. Suppose m(p) = 0. Calculate p.
-2, -1, 1
Suppose j**2 + 40*j + 1412*j + 44*j - 5*j**2 - 62345 - 77531 = 0. What is j?
187
Let p = -1184177/72 + 144970/9. Let h = -339 - p. Find a, given that h*a**3 + 3/8*a + 9/8 - 5/8*a**2 = 0.
-1, 3
Let b(p) be the second derivative of -p**6/30 + 29*p**5/20 + 31*p**4/6 + 300*p + 4. Factor b(l).
-l**2*(l - 31)*(l + 2)
Let z(w) = -w + 6. Let i be z(4). Factor 2*v**i - 113 + 68 + 14*v + 61 + 4*v.
2*(v + 1)*(v + 8)
Determine n, given that 0 - 1077/4*n**4 + 0*n + 357/4*n**2 + 711/4*n**3 + 9/4*n**5 = 0.
-1/3, 0, 1, 119
Let f be 25*2/28 - (-153)/646*76/(-12). Solve 4/7*o - f*o**4 + 2/7*o**2 - 4/7*o**3 + 0 = 0.
-2, -1, 0, 1
Let h = -136685/66 + 2071. Let o(x) be the second derivative of 18*x + 1/33*x**3 + h*x**4 + 0 + 0*x**2. Find k, given that o(k) = 0.
-1, 0
Let q be -42*1/(-12) - 1271/434. Solve -8/7*o**2 + 0 - 6/7*o**3 + 2/7*o**5 + 8/7*o + q*o**4 = 0 for o.
-2, 0, 1
Let a(w) be the first derivative of -6*w - 7/2*w**2 - 91 + 0*w**3 + 1/4*w**4. Let a(k) = 0. Calculate k.
-2, -1, 3
Let s(r) be the first derivative of -4/3*r**3 + r**4 + 0*r + 0*r**2 - 82. Factor s(h).
4*h**2*(h - 1)
Let q(t) be the first derivative of -2*t**5/35 + 5*t**4/7 - 10*t**3/7 - 10*t**2/7 + 32*t/7 - 1931. Suppose q(r) = 0. What is r?
-1, 1, 2, 8
Let m be 270/(-30)*10/(-3). Let b be 4 + (56/(-70) - 56/m). Factor b*q**5 + 4/3 + 20/3*q + 40/3*q**3 + 20/3*q**4 + 40/3*q**2.
4*(q + 1)**5/3
Determine t so that 1312/7*t + 215168/7 + 2/7*t**2 = 0.
-328
Let r be 56/(-21) + 1105/195. Solve 24/17*t - 2/17*t**r + 8/17*t**2 + 0 = 0.
-2, 0, 6
Let x(q) = 4*q**2 - 30*q + 80. Let j(i) = -4*i + 15*i - i - 11*i. Let l(c) = 6*j(c) + x(c). Factor l(z).
4*(z - 5)*(z - 4)
Let k = 251 + -185. Factor -851*l**3 + 854*l**3 - 60 + 55*l - k*l**2 + 68*l.
3*(l - 20)*(l - 1)**2
Let i(o) = o**2 - 31*o + 75. Let k be i(28). Let f be (22/11)/((-12)/k). Factor 1/4*s - f*s**2 + s**4 + 1/2 - s**3 + 3/4*s**5.
(s - 1)*(s + 1)**3*(3*s - 2)/4
Let d(l) be the second derivative of -1/105*l**6 - 20*l - 16/21*l**3 + 2/35*l**5 + 0*l**4 + 0 + 16/7*l**2. Factor d(q).
-2*(q - 2)**3*(q + 2)/7
Let x = 1944356/7 + -277748. Factor -1800/7 - 2/7*i**2 - x*i.
-2*(i + 30)**2/7
Suppose 0 + 0*l - 80/7*l**3 + 34/7*l**4 - 2/7*l**5 - 600/7*l**2 = 0. What is l?
-3, 0, 10
Let u = 412/847 + -7/121. Let n(z) be the first derivative of -z**3 + u*z**2 + 0*z + 36/35*z**5 - 2 - 3/4*z**4. Solve n(f) = 0.
-2/3, 0, 1/4, 1
Factor -978/7*v - 15/7*v**3 - 432/7 + 249/7*v**2.
-3*(v - 9)*(v - 8)*(5*v + 2)/7
Let f = -118 + 125. Factor -f + 40*a**2 - 3 - 522*a + 517*a + 20*a**3.
5*(a + 2)*(2*a - 1)*(2*a + 1)
Let c(t) = 2202*t**3 + 4416*t**2 + 2198*t - 2. Let v(u) = 440*u**3 + 883*u**2 + 440*u. Let h(k) = -3*c(k) + 14*v(k). Factor h(m).
-2*(m + 1)**2*(223*m - 3)
Let j(v) = 2*v**2 + 16*v - 21. Let y be j(-9). Let h be 483/(-115) - y*2. Factor -h - 3/5*s**2 + 12/5*s.
-3*(s - 3)*(s - 1)/5
Let k(o) be the second derivative of -o**5/60 + o**4/6 + 21*o**2 - 32*o. Let w(v) be the first derivative of k(v). Factor w(d).
-d*(d - 4)
Let n(y) be the second derivative of 5*y**7/63 - y**6/15 - 107*y**5/30 - 37*y**4/18 + 34*y**3/3 + 40*y**2/3 - 916*y. Find z such that n(z) = 0.
-4, -1, -2/5, 1, 5
Let -30*k**4 + 2*k**5 + 4*k**3 - 104*k**4 + 140*k**4 = 0. What is k?
-2, -1, 0
Let w(j) be the third derivative of -j**7/210 - 31*j**6/60 - 22*j**5 - 5929*j**4/12 - 38599*j**3/6 - 2346*j**2. Suppose w(o) = 0. Calculate o.
-29, -11
Let y = 362 + -346. Suppose 15*k - 25*k = -y*k. What is n in k + 10/13*n**4 + 14/13*n**2 - 4/13*n - 2/13*n**5 - 18/13*n**3 = 0?
0, 1, 2
Let a(d) be the second derivative of d**5/90 - 13*d**4/36 + 4*d**3/3 + 3*d**2 - 23*d. Let t(y) be the first derivative of a(y). Factor t(z).
2*(z - 12)*(z - 1)/3
Let r(d) = 2*d**2 + 222*d - 194. Let s(a) = a**2 + 225*a - 201. Let k(g) = 5*r(g) - 6*s(g). Factor k(h).
4*(h - 59)*(h - 1)
Let b(o) be the second derivative of 3*o**6 - 219*o**5/20 + 55*o**4/4 - 11*o**3/2 - 3*o**2/2 - 7*o + 283. Let b(m) = 0. Calculate m.
-1/15, 1/2, 1
Suppose 0*w = 2*w. Let n = 711241 - 711237. Find l such that -1/6*l**5 + w*l - 1/6*l**n + 1/6*l**3 + 0 + 1/6*l**2 = 0.
-1, 0, 1
Let r(d) = 9*d**2 + 105*d + 564. Let x(g) = g**2 + 3*g - 5. Let p(f) = r(f) - 6*x(f). Factor p(n).
3*(n + 11)*(n + 18)
Factor 273*h**4 + 10*h**5 + 172*h**3 + 67*h**4 + 94*h**4.
2*h**3*(h + 43)*(5*h + 2)
Find j, given that 82/5*j**4 + 0*j - 61/5*j**3 - 21/5*j**5 + 12/5*j**2 + 0 = 0.
0, 1/3, 4/7, 3
Let v be -1 - 4/2*21/(-14). Let q be 111/60 + (3 - (-36)/(-10)). Factor -w**4 - 1/2*w**v + 0 + q*w**3 + 1/4*w**5 + 0*w.
w**2*(w - 2)*(w - 1)**2/4
Let y be 3002/1200 + (-255)/102. Let x(m) be the third derivative of -1/15*m**3 + 0*m - 1/75*m**5 - 1/24*m**4 + 0 - y*m**6 + 16*m**2. Factor x(n).
-(n + 1)**2*(n + 2)/5
Let m(o) = -o**3 + o**2 + 24*o + 2. Let j be m(0). Let a(c) be the first derivative of 4/5*c**5 - 13 + 0*c + 0*c**2 + 4/3*c**3 - j*c**4. What is w in a(w) = 0?
0, 1
Factor 0 - 2/7*u**3 + 2/7*u