4 + 6*y**4 + 32 - 48*y = 0.
-2, -1, 2/7
Let n(f) be the second derivative of -3/20*f**5 - 18*f**2 + 23/2*f**3 - 2*f + 2 - 5/2*f**4. Let n(i) = 0. Calculate i.
-12, 1
Factor 126/13*g**2 + 912/13*g + 2/13*g**3 + 1760/13.
2*(g + 4)**2*(g + 55)/13
Let q(p) be the third derivative of -p**7/1155 - 19*p**6/660 - 103*p**5/330 - 31*p**4/44 + 72*p**3/11 + p**2 + 3*p - 595. Determine z, given that q(z) = 0.
-9, -8, -3, 1
Let l(d) = -2*d**3 - 2*d**2 - 4*d. Let w(p) = -2*p**3 - 3*p + 1. Let z = -112 - -115. Let j(b) = z*l(b) - 2*w(b). Determine a, given that j(a) = 0.
-1
Suppose 26 + 34 = l. Suppose 1292 = -99*h + 11879 + 20301. Factor -173*d**3 + 240*d - h*d**2 + 26*d**3 + 15*d**2 - l*d**2 - 36.
-3*(d + 3)*(7*d - 2)**2
Suppose 2*t = 11 - 23. Let r be 2 + -2 - t/(1 + 2). Factor -28*k**3 - 16 - 80*k - 58*k**2 + 30*k**2 - 64*k**r.
-4*(k + 1)*(k + 2)*(7*k + 2)
Let m(y) be the second derivative of 5/2*y**4 - 17/2*y**6 + 3 + 0*y**3 + 11/4*y**5 - 13*y - 20/3*y**7 + 0*y**2. Solve m(l) = 0 for l.
-1, -2/7, 0, 3/8
Let h(a) = a**2 + 809*a + 163468. Let p be h(-417). Factor -24/5*k**3 - 128/5*k + 96/5*k**2 + 0 + 2/5*k**p.
2*k*(k - 4)**3/5
Let d = -10381/1332 + 1581/148. Let 2/9*h**2 + 8/3 + d*h = 0. What is h?
-12, -1
Let b(d) = 2*d**4 + d**3 - 3*d**2 - 4. Let a(r) = 17*r**4 - 559*r**3 - 80683*r**2 - 36. Let p(k) = 4*a(k) - 36*b(k). Factor p(w).
-4*w**2*(w + 284)**2
Let s(h) = 7*h**2 + 10*h + 12. Let t(q) = -13*q**2 - 22*q - 24. Let k = 282 - 285. Let j(u) = k*t(u) - 5*s(u). Factor j(y).
4*(y + 1)*(y + 3)
Let j be 52/(-65) - (-40)/50. Let d(r) be the third derivative of -21*r**2 + j*r**3 + 0 - 1/180*r**6 + 0*r**4 + 0*r - 1/90*r**5. Let d(k) = 0. What is k?
-1, 0
Let k(u) be the first derivative of u**4/18 - 1444*u**3/27 + 14560*u**2 - 57600*u - 3224. Factor k(d).
2*(d - 360)**2*(d - 2)/9
Suppose 2*q = 22*r - 18*r - 22, 19 = r - 5*q. Suppose -4*u = -4*z - r, 6*z = 10*z - 12. Factor -2/11*l**u - 4/11 - 14/11*l - 18/11*l**2 - 10/11*l**3.
-2*(l + 1)**3*(l + 2)/11
Let q be 63/(-54) + 666/432. Let y(z) be the first derivative of 1/4*z - 6 + q*z**2 + 1/12*z**3 - 3/16*z**4 - 1/10*z**5. Solve y(k) = 0.
-1, -1/2, 1
Let b(x) be the second derivative of 3*x**5/20 + 10*x**4 + 263*x**3/2 + 336*x**2 + 6436*x. Factor b(c).
3*(c + 1)*(c + 7)*(c + 32)
Let s = 62107/644 + -2693/28. Find j, given that 0 + 32/23*j**4 + 32/23*j**2 + 6/23*j + s*j**5 + 52/23*j**3 = 0.
-3, -1, -1/3, 0
Suppose 0 = 41*l + 57910 - 57910. Factor -1/8*h**3 - 9/8*h + l + 3/4*h**2.
-h*(h - 3)**2/8
Let v(d) = -d**2 + 123*d + 250. Let a be v(-2). Factor 56*p**5 + 15/2*p**3 + a*p + 9*p**2 - 68*p**4 + 0.
p**2*(4*p - 3)**2*(7*p + 2)/2
Let z(o) = -5*o**2 + 2398*o + 6501. Let q(y) = 27*y - 1. Let x(u) = -9*q(u) + z(u). Factor x(d).
-5*(d - 434)*(d + 3)
Suppose -21*u = -7*u + 56. Let x be u/(-12) - (-657)/135. Suppose 14/5*g - x*g**2 + 0 + 2*g**3 + 2/5*g**4 = 0. Calculate g.
-7, 0, 1
Let p(g) be the first derivative of -4*g**5/5 + 31*g**4 - 364*g**3 + 1810*g**2 - 3800*g + 1295. Factor p(f).
-4*(f - 19)*(f - 5)**2*(f - 2)
Suppose 2 + 2*c**4 - c**5 - 261*c**2 + 4*c**3 - 2*c**3 - c + 257*c**2 = 0. Calculate c.
-1, 1, 2
Let n(x) be the first derivative of x**7/1050 + x**6/200 - x**5/300 - x**4/40 + 20*x**2 + x - 46. Let d(p) be the second derivative of n(p). Factor d(u).
u*(u - 1)*(u + 1)*(u + 3)/5
Let y(v) = -v**2 - 2*v + 4. Let k be y(0). Let q be (1 + -2)*2 - -14. Factor -5 + q + 12*t**k - 8*t**5 - 7 + 8*t**3.
-4*t**3*(t - 2)*(2*t + 1)
Let h(x) be the second derivative of -x**6/135 - x**5/90 + 8*x**4/27 + 16*x**3/27 + 10*x - 36. Solve h(g) = 0.
-4, -1, 0, 4
Let z(b) be the second derivative of b**6/150 + 7*b**5/20 - 27*b**4/20 - 263*b**3/30 - 74*b**2/5 - 6*b - 47. Factor z(t).
(t - 4)*(t + 1)**2*(t + 37)/5
Let c(z) be the third derivative of z**5/100 + 31*z**4/40 + 29*z**3/5 - 96*z**2 + 2*z. Solve c(x) = 0.
-29, -2
Let x = -471/31 + 2417/155. Factor x*o**2 + 14/5*o + 4.
2*(o + 2)*(o + 5)/5
Let l(z) = -2*z**2 + 33*z - 89. Suppose 31*y - 261 = 142. Let w be l(y). What is k in 3 + 19/2*k - 17*k**w + 9/2*k**3 = 0?
-2/9, 1, 3
Let u(m) = 8*m**3 - 10*m + 5. Let p(z) = -7*z**3 + z**2 + 8*z - 4. Let c(n) = -15*p(n) - 12*u(n). Determine l, given that c(l) = 0.
0, 5/3
Suppose 0 = -4*v - 4*o - 4, 4*v + 35 = -3*o + 34. Factor -222*d**3 + 76*d - 53 - 32*d**v + 13 + 218*d**3.
-4*(d - 1)**2*(d + 10)
Solve 0*a**4 + 18*a**3 - 3*a**5 + 30*a**3 - 6*a**2 - 15*a**3 - 348*a - 360 + 30*a**3 + 6*a**4 = 0.
-2, 3, 5
Let s = -128/137 - -15692/959. Suppose -2*j**3 - 4 + s*j**2 - 66/7*j = 0. Calculate j.
-2/7, 1, 7
Suppose 14*a - 831 = -761. Let o(r) be the third derivative of 0 - 14*r**2 + 0*r**3 + 0*r**4 + 0*r - 1/240*r**a + 1/960*r**6. What is p in o(p) = 0?
0, 2
Suppose -6*p - 4 = -p - 2*r, 0 = -4*r - 12. Let t(d) = -9. Let k(s) = -s**4 + s**2 - 6. Let y(f) = p*t(f) + 3*k(f). Factor y(b).
-3*b**2*(b - 1)*(b + 1)
Factor 76/7 - 60/7*i - 16/7*i**2.
-4*(i - 1)*(4*i + 19)/7
Let y(o) = -21*o**3 - o**2 - 2*o. Let p(c) = -83*c**3 + 496*c**2 + 62492*c. Let q(i) = p(i) - 4*y(i). Determine g so that q(g) = 0.
-250, 0
Let h(v) be the second derivative of 0*v**2 + 1/10*v**5 - 90*v - 1/3*v**3 + 0 + 1/15*v**6 - 1/6*v**4. Factor h(m).
2*m*(m - 1)*(m + 1)**2
Solve 0 + 1/4*n**2 + 201/2*n = 0.
-402, 0
Let g(a) be the first derivative of 2/11*a**4 - 226/33*a**3 - 392/11*a - 53 + 812/11*a**2. Find b, given that g(b) = 0.
1/4, 14
Let f = -49 + 70. Let n = 23 - f. Let -m**n - 5*m**2 + m**2 = 0. What is m?
0
Let u(y) = -4*y - 5. Let p be u(-2). Find c, given that -86*c**3 - 5*c**4 + 5*c**2 - 83*c**3 + 5*c + 164*c**p = 0.
-1, 0, 1
Let z = -704/5567 - -17369755/489896. Let k = z - 368/11. Solve 9/4*o - 3/8*o**2 - k = 0 for o.
1, 5
Let q = 134 - 129. Solve -5*l**3 + 807*l**4 + 6 + 5*l - q*l**2 - 1612*l**4 + 804*l**4 = 0 for l.
-3, -2, -1, 1
Let n(j) be the first derivative of 0*j**2 + 2 - 5*j - 5/3*j**4 + 2/15*j**6 + 2*j**3 + 1/5*j**5. Let o(t) be the first derivative of n(t). Factor o(m).
4*m*(m - 1)**2*(m + 3)
Suppose 70*b = 24*b - 43*b + 178. Factor -27/2 - 1/6*l**b + 3*l.
-(l - 9)**2/6
Let o be (-1 - 3)*(-5)/(-10). Let d be -5*o/15*6. Find m such that -d*m**5 - 2*m - 8*m**4 + 16*m**3 + 4*m**2 - 4*m + 4*m**2 - 6*m = 0.
-3, -1, 0, 1
Let o(q) be the third derivative of -q**7/42 + 259*q**6/12 - 66037*q**5/12 - 112665*q**4/2 - 227070*q**3 - 4001*q**2. Factor o(u).
-5*(u - 261)**2*(u + 2)**2
Let o = -222 - -223. Let i be -9*7/(-21)*o. Suppose -2/11*b**2 + 2/11 - 2/11*b**i + 2/11*b = 0. Calculate b.
-1, 1
Let t(r) be the third derivative of 5*r**8/336 + 8*r**7/7 - 13*r**6 + 319*r**5/6 - 895*r**4/8 + 135*r**3 - 2802*r**2. What is n in t(n) = 0?
-54, 1, 3
Suppose 16 = 45*m + 61. Let r be m/(-3) + 185/444. Solve -b + r + 1/4*b**2 = 0.
1, 3
Determine z so that z**5 - 113*z**4 + 9580*z + 1557*z**4 - 1570544*z - 4330*z**2 + 521281*z**3 + 1042568 = 0.
-722, -2, 1
Let q(g) be the third derivative of 0*g**4 + 0*g**5 + 0*g + 1/168*g**8 + 0*g**3 + 1/60*g**6 + 2/105*g**7 + 28*g**2 + 0. Factor q(o).
2*o**3*(o + 1)**2
Let q be -5*((-2)/(-4))/(60/(-48)). Factor 65*z**2 - 19*z**q - 10*z**2 + 162*z + 2*z**3.
2*z*(z + 9)**2
Solve -55/4*p**2 + 25/4*p**3 - 65/4*p + 15/4 = 0.
-1, 1/5, 3
Suppose -1/5*c**2 - 159/5*c + 652/5 = 0. Calculate c.
-163, 4
Let w(x) = -7*x**4 - 7*x**3 + 22*x**2 + 16*x - 6. Let s(g) = -8*g**4 - 9*g**3 + 22*g**2 + 18*g - 5. Let f(v) = 2*s(v) - 3*w(v). Find y such that f(y) = 0.
-2, -1, 2/5, 2
Let g(c) = -234*c**2 - 28134*c - 5799346. Let y(i) = 14*i**2 + 1655*i + 341138. Let f(w) = -6*g(w) - 100*y(w). Factor f(x).
4*(x + 413)**2
Let z(i) = -i - 41. Let n be z(-21). Let l be n/210 + (-6)/(-9). Factor l*a + 2/7*a**4 + 8/7*a**3 + 10/7*a**2 + 0.
2*a*(a + 1)**2*(a + 2)/7
Let g(f) = 120*f**3 + 765*f**2 + 5451*f - 6246. Let t(h) = -19*h**3 + 1. Let a(r) = -g(r) - 5*t(r). Factor a(q).
-(q - 1)*(5*q + 79)**2
Let y(m) be the third derivative of 3/20*m**5 + 1/10*m**3 - 7/200*m**6 - 3*m**2 - 9/40*m**4 + 0*m + 0. Solve y(g) = 0.
1/7, 1
Let l = -67555 - -67558. Suppose 0 = 3*i - 2*i. Factor 1/3*k**4 + i + k**2 - 1/3*k - k**l.
k*(k - 1)**3/3
Let x(d) be the second derivative of -d**7/14 - 11*d**6/10 - 99*d**5/20 - 5*d**4/4 + 25*d**3 - 1157*d + 3. Suppose x(v) = 0. What is v?
-5, -2, 0, 1
Let m(d) be the first derivative of -2/3*d**3 - 236 - 118*d - 60*d**2. Factor m(s).
-2*(s + 1)*(s + 5