0 + i*d**2 + 40/19*d = 0 for d.
-20, 0
Factor 312*f**3 - 642*f**4 - 10*f**2 + 10*f**2 + 1726*f**4 - 28*f**5.
-4*f**3*(f - 39)*(7*f + 2)
Let a(k) be the second derivative of 0*k**2 + 1/20*k**5 + 12*k + 2/3*k**4 - 2 + 7/6*k**3. Suppose a(l) = 0. What is l?
-7, -1, 0
Let g(i) be the first derivative of i**6/3 + 146*i**5/25 + 29*i**4/2 - 58*i**3/3 - 30*i**2 + 144*i/5 + 2730. Solve g(t) = 0 for t.
-12, -3, -1, 2/5, 1
Suppose 4277340 + 5340*r + 5/3*r**2 = 0. What is r?
-1602
Let a(b) be the second derivative of -b**6/30 - 21*b**5/20 + 155*b**4/4 - 2575*b**3/6 + 2250*b**2 - 1515*b. Let a(j) = 0. Calculate j.
-36, 5
Suppose -901 + 313 = -294*s. Factor m + 1/3*m**3 - m**s - 1/3.
(m - 1)**3/3
Let c(y) = -14*y**3 - 56*y**2 + 18*y + 50. Let t(v) = -13*v**3 - 59*v**2 + 21*v + 48. Let k(p) = -3*c(p) + 2*t(p). Let k(n) = 0. What is n?
-3, -9/8, 1
Find h, given that 212*h + 926*h**2 - 33*h**3 + 29*h**3 + 108 - 826*h**2 = 0.
-1, 27
Let r be (1 + -2)/(900/(-600)). What is q in -r*q**3 - 1/3*q**2 - 1/3*q**4 + 0*q + 0 = 0?
-1, 0
Let h(f) = -14*f**3 + 4848*f**2 + 1464102*f - 2947556. Let t(j) = j**3 - j - 2. Let v(r) = -h(r) - 18*t(r). What is w in v(w) = 0?
-607, 2
Let q(m) be the third derivative of -m**7/70 + m**6/4 + 11*m**5/20 - 2*m**2 + 91*m. Factor q(v).
-3*v**2*(v - 11)*(v + 1)
Factor 0*v - 53/9*v**4 + 0*v**2 + 0*v**3 + 0 + 1/9*v**5.
v**4*(v - 53)/9
Let r be (0 - 13) + 7/((-30240)/(-56646)). Let b(f) be the third derivative of 0 - 1/160*f**6 + 42*f**2 - 27/32*f**4 - 27/8*f**3 - r*f**5 + 0*f. Factor b(s).
-3*(s + 3)**3/4
Factor 466*f - 12*f - 20 + 383*f**3 + 385*f**3 - 682*f**3 - 520*f**2.
2*(f - 5)*(f - 1)*(43*f - 2)
Suppose 4*z - 10 = 14. Suppose -z*t - 10 = -22. Determine j, given that -3*j**5 + 8*j**5 + t*j**3 - 3*j**3 - 4*j**5 = 0.
-1, 0, 1
Let q = -9/31 + 58/93. Let p(s) be the first derivative of 0*s + 0*s**2 + 39 - 2/9*s**3 - 2/15*s**5 - q*s**4. Solve p(x) = 0.
-1, 0
Let d(a) be the first derivative of 30*a + 2*a**2 - 99 - 2/3*a**3. Suppose d(l) = 0. Calculate l.
-3, 5
Let u(z) = z**2 - 676*z + 7970. Let j be u(12). Factor 60*s**j - 24*s + 0 + 15*s**4 - 3/2*s**5 - 99/2*s**3.
-3*s*(s - 4)**2*(s - 1)**2/2
Let c be (-107)/(-33) - 4/12. Let a = 22417 - 246571/11. Determine h so that a*h + c + 2/11*h**2 = 0.
-4
Let u = -116 - -119. Let -14*f**2 + u*f**5 + 5*f**4 + 18*f**3 + 9*f**4 + 2*f**5 - 3*f**5 - 20*f = 0. Calculate f.
-5, -2, -1, 0, 1
Let a(v) be the second derivative of -2*v**6/45 + 4*v**5/15 + 5*v**4/9 - 8*v**3 + 24*v**2 - 693*v. Let a(m) = 0. What is m?
-3, 2, 3
Let g = 62341/5 + -187003/15. Find p such that g + 16*p**2 - 32/3*p**3 + 10*p = 0.
-1/4, 2
Let t(s) = 2*s**2 - 3*s - 9. Let x(v) = -v - 1. Let u(b) = -b + 6. Let q be u(2). Suppose 0 = 108*n - 104*n + q. Let k(j) = n*t(j) + 5*x(j). Factor k(a).
-2*(a - 1)*(a + 2)
Suppose -6 = 82*t - 85*t + g, -3*t - g + 12 = 0. Let l(j) be the first derivative of 0*j + 2/9*j**t + 0*j**2 + 1 - 1/6*j**4. Factor l(n).
-2*n**2*(n - 1)/3
Let y be 69030/(-1062)*1/(-78). Find c, given that -375/2*c**2 + 0 - y*c**4 + 0*c + 25*c**3 = 0.
0, 15
Let i(x) = 87*x - 19050. Let u be i(219). Let -8/15 + 22/15*d**2 + 106/15*d**u + 76/15*d**4 - 32/15*d + 16/15*d**5 = 0. What is d?
-2, -1, -1/4, 1/2
Let g = 23518 + -23512. Let k(f) be the third derivative of 1/45*f**5 + 2/27*f**4 + 20*f**2 + 0 + 0*f + 1/9*f**3 + 0*f**g - 1/945*f**7. Factor k(o).
-2*(o - 3)*(o + 1)**3/9
Let o(f) be the first derivative of -16 - 24*f**2 + 4/3*f**3 + 0*f. Factor o(p).
4*p*(p - 12)
Factor -684 - 3*i**3 + 48*i - 240*i**2 - 284*i - 100*i - 2*i - 583*i.
-3*(i + 1)*(i + 3)*(i + 76)
Factor -58 - 828*t - 94*t**2 + 1962*t + 3*t**3 - 929*t.
(t - 29)*(t - 2)*(3*t - 1)
Suppose -165 + 107/2*a + 1/2*a**2 = 0. What is a?
-110, 3
Determine v so that -18/7*v**2 - 2/7*v**4 + 8/7*v + 0 + 12/7*v**3 = 0.
0, 1, 4
Let u = -734/1001 + 75/91. Let i(t) be the first derivative of -6/11*t + 2/11*t**2 - u*t**4 + 20 + 2/11*t**3. Suppose i(n) = 0. Calculate n.
-1, 1, 3/2
Let k(d) be the second derivative of d**4/4 + 14*d**3 + 2*d - 762. Factor k(c).
3*c*(c + 28)
What is q in -13 + 49/6*q**4 - 3499/6*q**2 + 1069/6*q - 1141/6*q**3 = 0?
-3, 1/7, 26
Let s(c) be the third derivative of -1/15*c**6 + 1 + 150*c**3 + 61/15*c**5 - 26*c**2 + 0*c - 80*c**4. Determine f, given that s(f) = 0.
1/2, 15
Let b = 205 + -247. Let v = 211/5 + b. Solve 1/5*y + v*y**2 - 2/5 = 0.
-2, 1
Let x be (7/5 - 24/36) + 2/(-10). Factor x*t**2 + 2/3*t**4 + 0 + 0*t + 2/15*t**5 + 16/15*t**3.
2*t**2*(t + 1)*(t + 2)**2/15
Let w = -4493 + 4493. Let o(c) be the first derivative of -4/5*c**5 + w*c - 10*c**2 - 3*c**4 - 28 + 12*c**3. Factor o(j).
-4*j*(j - 1)**2*(j + 5)
Let n(m) = -57*m**2 - 7*m - 36. Let r(v) = -14*v**2 + 2*v. Let h(z) = 5*n(z) - 20*r(z). Determine d, given that h(d) = 0.
-12, -3
Factor 525/8*o + 261/4 + 3/8*o**2.
3*(o + 1)*(o + 174)/8
Suppose 2*f - 9777*n - 12 = -9775*n, -2*n - 8 = 0. Let 0 + 2/3*g + 10/3*g**3 - 4*g**f = 0. Calculate g.
0, 1/5, 1
Let z(i) be the first derivative of 2*i**3/3 - 1298*i**2 + 842402*i - 2169. Suppose z(a) = 0. Calculate a.
649
Let j(m) = 41*m**5 + 78*m**4 - 167*m**3 + 37*m**2. Let q(y) = 21*y**5 + 39*y**4 - 84*y**3 + 18*y**2. Let z(v) = 6*j(v) - 11*q(v). Solve z(a) = 0.
-4, 0, 2/5, 1
Solve -1939 + 3142273*j - 1475 + 1071 - 3*j**2 - 3144619*j = 0 for j.
-781, -1
Let m(l) be the first derivative of 78*l + 64 + 33/2*l**2 - l**3. Factor m(n).
-3*(n - 13)*(n + 2)
Let d(j) be the second derivative of -j**4/12 + 47*j**3/6 + 75*j**2 - 2594*j. Let d(y) = 0. Calculate y.
-3, 50
Let n(h) be the second derivative of -h**6/60 - 19*h**5/40 + 199*h**4/24 - 449*h**3/12 + 135*h**2/2 - 485*h. Find x, given that n(x) = 0.
-27, 1, 2, 5
Let c(g) = -g**3 - 19*g**2 + 22*g + 37. Let z(j) = 4*j**3 + 56*j**2 - 68*j - 110. Let u(b) = 10*c(b) + 3*z(b). Find a such that u(a) = 0.
-1, 2, 10
Let n = -1092 + 804. Let c = -286 - n. Determine g so that 0*g + 2/3*g**3 - 8/3*g**5 + 0*g**2 + c*g**4 + 0 = 0.
-1/4, 0, 1
Suppose -9*p + 3*y - 3 = 0, -5*p + 5*y = 155 - 120. Let -3/4*a**4 + 3*a**2 + 6*a + 0 - 3/2*a**p = 0. What is a?
-2, 0, 2
Let r(k) be the first derivative of -4/15*k**3 - 2/25*k**5 + 0*k - 62 + 0*k**2 - 3/10*k**4. Factor r(i).
-2*i**2*(i + 1)*(i + 2)/5
Let h = 119 + -115. Suppose -h*t + 12 = -12. Factor -3*q**3 - 24 - t*q + 25*q - 4*q**4 - 9*q**3 + 12*q**2 + 9*q.
-4*(q - 1)**2*(q + 2)*(q + 3)
Let z be (-10)/6*5/(10/(-72)). Factor -229*l + 484*l - z*l**2 + 5*l**3 - 160 - 75*l.
5*(l - 8)*(l - 2)**2
Let b(y) = -y**2 + 16*y - 59. Let v be b(8). Solve v*s**5 - 25*s**2 + 0*s**5 + 47*s**2 - 10*s - 15*s**4 + 5*s**3 - 7*s**2 = 0.
-1, 0, 1, 2
Let g(i) be the first derivative of -3*i**3 - i**2 - 16*i + 78. Let z(b) = -b**2 + b + 1. Let o(t) = 3*g(t) - 24*z(t). Let o(a) = 0. What is a?
-6, -4
Let m be (-1)/((-53)/424 + 0 + (-92)/32). Let w(s) be the second derivative of 0 - 12*s + m*s**3 - 1/4*s**4 + 1/20*s**5 + 0*s**2. Factor w(d).
d*(d - 2)*(d - 1)
Let k(t) = t**4 - t**2 + 1. Let c(b) = 5*b**4 + 42*b**3 + 275*b**2 + 238*b + 4. Let z(p) = 5*c(p) - 20*k(p). Factor z(d).
5*d*(d + 1)*(d + 7)*(d + 34)
Let w(r) = -6*r + 0 - 7*r**2 - 2 + 3*r**2 - 6. Let j(a) = 11*a - 24 + 21*a**2 + 18*a + 65. Let v(g) = 2*j(g) + 11*w(g). Suppose v(c) = 0. What is c?
-3, -1
Let p be (31 - 74777/2405)*-5. Factor 6/13 + 2/13*u - 2/13*u**3 - p*u**2.
-2*(u - 1)*(u + 1)*(u + 3)/13
Let i = -466369 + 1399108/3. Factor 0*v**2 - i*v**5 + 2/3*v**3 - 1/3*v + 0*v**4 + 0.
-v*(v - 1)**2*(v + 1)**2/3
Let p(r) be the second derivative of -44/3*r**3 + 1/9*r**4 + 17 + 726*r**2 + 2*r. Factor p(t).
4*(t - 33)**2/3
Let j(u) be the third derivative of u**7/525 - 13*u**6/50 + 77*u**5/150 - 1071*u**2. Factor j(p).
2*p**2*(p - 77)*(p - 1)/5
Factor -2512*b**2 - 2777*b**2 + 7638*b**2 - 2685*b**2 - 3042 - 147*b**3 + 2769*b.
-3*(b + 6)*(7*b - 13)**2
Let b be 16 - 31 - 13500/(-756). Solve 4/7*h**4 + 24/7 - 20/7*h**3 + b*h - 4*h**2 = 0.
-1, 1, 6
Let l(w) = 12*w**4 + 64*w**3 - 215*w**2 + 5*w + 15. Let q(g) = -2*g**4 + g**2 - g - 3. Let p(k) = 2*l(k) + 10*q(k). Factor p(b).
4*b**2*(b - 3)*(b + 35)
Factor -170/9 - 2/9*a**3 - 46/9*a**2 - 214/9*a.
-2*(a + 1)*(a + 5)*(a + 17)/9
Let -4*f + 78/5 - 2/5*f**2 = 0. Calculate f.
-13, 3
Let i = 18044 + -72161/4. Let v(d) be the first derivative of 3/2*d**4 + 3/4*d + i*d**3 - 26 - 12/5*d**5 - 3*d**2. Solve v(q) = 0.
-