4 + 8/7*p**5 + 186/7*p**2 = 0.
-1, -1/4, 1, 18
Let z = -251 + 280. Factor -10*s**2 - 5*s**4 + 28*s**3 - 8*s**3 - z*s + 15 + 9*s.
-5*(s - 3)*(s - 1)**2*(s + 1)
Let w be ((-22)/(-110))/(15/(-65)*2/(-30)). Let c(g) be the first derivative of 40/39*g**3 + g**2 + w + 4/13*g + 9/26*g**4. Find t such that c(t) = 0.
-1, -2/9
Suppose 2*g = 3*d + 9, -4*d + 0*d + 2 = 2*g. Let 36*o**2 + 3*o**g + 28 - 5280*o + 5343*o + 2 = 0. Calculate o.
-10, -1
Suppose 5 = -9*k + 41. Factor -5*r**4 - r**k - 1024 + 2*r**4 + 64*r**3 - 384*r**2 + 532*r + 492*r.
-4*(r - 4)**4
Let m(v) be the third derivative of v**5/51 - 13*v**4/204 + v**3/17 + 342*v**2. Suppose m(r) = 0. Calculate r.
3/10, 1
Let z(g) = g**2 - 2. Let n be z(2). Let h be 4/(26/(-52) - 3/(-6) - -6). Solve -2/3*a**n + 1/3*a + 1/3 - h*a**3 + 1/3*a**5 + 1/3*a**4 = 0 for a.
-1, 1
Find l such that -38*l**2 + 137*l**2 + 5*l**3 - 13*l**2 + 24*l**2 + 200*l = 0.
-20, -2, 0
Let w be -1 - (5/4 + (-211990)/64600). Let j(c) be the first derivative of -232/57*c**3 + 0*c - 16/19*c**2 - w*c**5 - 112/19*c**4 + 20. Factor j(m).
-2*m*(m + 4)*(7*m + 2)**2/19
Let s(x) be the second derivative of 5/42*x**7 - 35/12*x**4 - 34 + 1/2*x**6 + 5*x**3 + 2*x + 0*x**2 - 3/4*x**5. Determine t, given that s(t) = 0.
-3, -2, 0, 1
Let w(b) = b**3 + 44*b**2 + 82*b - 79. Let u be w(-42). Let f(x) = x**3 - 7*x**2 + 4*x - 8. Let h be f(8). Factor u*o**2 - 53*o + h*o - 49*o - 3.
(o - 3)*(5*o + 1)
Let c(o) = 3764*o**2 + 728*o + 96. Let f(g) = 579*g**2 + 113*g + 15. Let r(w) = -5*c(w) + 32*f(w). Factor r(a).
-4*a*(73*a + 6)
Suppose 3*w = 2*t - 56, -3*t + 99 = w + 2*w. Let z = t - 29. Factor 8 - 17*s**2 + 13*s**3 + 23*s**3 + 20*s - 20*s**2 - 27*s**z.
4*(s - 1)**2*(9*s + 2)
Let t be ((-3)/(-12))/(30/720). Let z be 48/(-9) - (t - 12). Factor -2*l**2 - 10/3 + z*l**3 - 6*l.
2*(l - 5)*(l + 1)**2/3
Find v, given that 736898/3 + 9712/3*v + 32/3*v**2 = 0.
-607/4
Let y be 5304/6188*21*(-5)/(-45). Suppose 3/4*u**4 + 0*u**y - u + 0 + 7/4*u**3 = 0. Calculate u.
-2, -1, 0, 2/3
Let l = 85 + -50. Suppose -l = -5*g - 5*u, -6*u = -g - 4*u - 2. Factor 2*a**4 - 6*a**4 + a**g + a**2 - 3*a**2 + 5*a**3.
-a**2*(a - 1)*(3*a - 2)
Let o(v) be the second derivative of -9*v + 1/54*v**4 + 1156/9*v**2 + 5 - 68/27*v**3. Solve o(u) = 0 for u.
34
Let l(j) be the third derivative of -j**7/630 - j**6/180 + j**5/5 + j**4/12 - 91*j**3/6 - 72*j**2. Let q(i) be the second derivative of l(i). Factor q(g).
-4*(g - 2)*(g + 3)
Let a(o) be the second derivative of -o**4/72 - 19*o**3/9 - 35*o**2 - 1155*o. Find j such that a(j) = 0.
-70, -6
Suppose -682*v = -676*v - 36. Suppose -5*g = 4*w - v + 9, -2*w + 18 = -4*g. Let 12/5*k**2 - 16/5 + 2*k**4 + 34/5*k**w - 8*k = 0. Calculate k.
-2, -2/5, 1
Let b(u) be the first derivative of u**5/36 - 5*u**4/6 + 55*u**3/18 - u**2 + 92*u + 17. Let a(g) be the second derivative of b(g). Factor a(i).
5*(i - 11)*(i - 1)/3
What is z in 3297/4*z + 273*z**2 - 3/4*z**3 + 1101/2 = 0?
-2, -1, 367
Let t = -506 - -557. Determine c so that 48 + 36*c**5 - 87*c**4 - 312*c + 3*c**3 - t*c**5 + 197*c**2 + 166*c**2 = 0.
-4, 1/5, 1
Let r(p) be the second derivative of p**6/90 - 7*p**5/3 - 71*p**4/18 + 70*p**3/9 + 47*p**2/2 + 2*p + 487. Solve r(c) = 0 for c.
-1, 1, 141
Let s(n) = 49*n**2 - 328*n + 625. Let f(i) = 13*i**2 - 82*i + 156. Let d(l) = 15*f(l) - 4*s(l). Find r such that d(r) = 0.
2, 80
Let f = -441 - -454. Find c, given that -3*c**2 + 27*c + 6*c**2 + f*c**2 - 3*c**3 + 8*c**2 = 0.
-1, 0, 9
Let r(s) be the third derivative of s**8/112 - 2*s**7/7 + 141*s**6/40 - 41*s**5/2 + 50*s**4 - 2676*s**2. Let r(f) = 0. What is f?
0, 2, 5, 8
Let k(c) be the first derivative of -11 + 100/3*c**3 - 90*c - 2*c**5 - 125/2*c**4 + 25/6*c**6 + 225/2*c**2. Find t, given that k(t) = 0.
-3, -1, 2/5, 1, 3
Let q(g) = -2*g**3 + 73*g**2 + 37*g + 8. Let i be q(37). Suppose h + 6 = 2*n, -4*h = -3*n - n + i. Suppose -6/5 + h*y**2 + 4/5*y = 0. What is y?
-1, 3/5
Let a be (8/7)/(12*(-1)/(-21)). Let p(s) be the first derivative of -17 + 32/9*s**a + 8/3*s + 10/27*s**3. Factor p(c).
2*(c + 6)*(5*c + 2)/9
Suppose -105 = -5*q - 5*b, q + 35 = 3*q - 5*b. Let o be 416/120 + 2*2/q. Solve o*r**2 - 25/3*r**4 - 4*r - 4/3 + 10*r**3 = 0.
-2/5, 1
Let q = -196272 + 196274. Suppose 3/5*s**3 - 138/5 - 144/5*s**q + 279/5*s = 0. What is s?
1, 46
Let k(v) be the third derivative of 8*v**7/105 + 77*v**6/60 + 39*v**5/5 + 63*v**4/4 - 36*v**3 - 4607*v**2. Factor k(r).
2*(r + 3)**2*(r + 4)*(8*r - 3)
Let w(i) be the first derivative of -i**2 - 8*i - 1/3*i**3 - 3/10*i**5 + 5/6*i**4 + 32. Let p(m) be the first derivative of w(m). Factor p(x).
-2*(x - 1)**2*(3*x + 1)
Factor -39*o**2 + 1496 - o - 182*o + 1499 - 3103.
-3*(o + 4)*(13*o + 9)
Let j(n) be the first derivative of n**5/20 + 7*n**4/16 + 7*n**3/12 - 15*n**2/8 - 815. Factor j(o).
o*(o - 1)*(o + 3)*(o + 5)/4
Let x(u) be the first derivative of 4*u**3 - 4*u**2 - 4*u - 2618. Factor x(n).
4*(n - 1)*(3*n + 1)
Let l(m) be the first derivative of 2*m**4/5 + 26*m**3/15 + 3*m**2/5 - 259. Solve l(d) = 0.
-3, -1/4, 0
Let g(q) be the third derivative of -62*q**2 + 0*q**3 - 1/60*q**6 + 0 + 0*q + 1/10*q**5 - 1/6*q**4. Find j such that g(j) = 0.
0, 1, 2
Let w(h) = h**3 + 33*h**2 - 14*h - 458. Let n be w(-33). Let a(g) be the second derivative of 0 + g - 1/3*g**n + 2*g**3 + 0*g**2. Factor a(i).
-4*i*(i - 3)
Let i = 546 - 390. Let f = 158 - i. Find b, given that -10/3*b**f + 4/3 - 2*b = 0.
-1, 2/5
Find z, given that 2/7*z**2 + 8/7 + 10/7*z = 0.
-4, -1
Let t(w) be the second derivative of -w**6/195 + 107*w**5/130 - 28*w**4 + 16448*w**3/39 - 42496*w**2/13 - 2372*w. Factor t(a).
-2*(a - 83)*(a - 8)**3/13
Let w(b) be the first derivative of b**3/4 + 549*b**2/4 + 1095*b/4 - 3951. Solve w(m) = 0.
-365, -1
Let l = 44 + -43. Let k(y) = y + 4. Let h be k(l). Factor 7*a**2 + 15*a**2 - 3*a**4 - 7*a**2 + 28*a**4 + 35*a**3 + h*a**5.
5*a**2*(a + 1)**2*(a + 3)
Factor -29/2*w**3 - 1/2*w**4 + 28*w + 0 - 13*w**2.
-w*(w - 1)*(w + 2)*(w + 28)/2
Let y(h) be the third derivative of h**5/240 + 17*h**4/48 + 7*h**3 + 36*h**2 + 2. Factor y(k).
(k + 6)*(k + 28)/4
Let m be 97/5 - (-2756)/1060 - 5. What is i in m*i**3 + 2 - 37/2*i**2 - 9/2*i**4 + 4*i = 0?
-2/9, 1, 2
Factor -8205*n - 6207*n + 16686*n + 2*n**2.
2*n*(n + 1137)
Let a(i) = -13*i - 63. Let k(n) = -4*n - 21. Let m(q) = 2*a(q) - 7*k(q). Let r be m(-9). What is o in -23*o**2 + 48*o**r - 63*o**3 - 3*o**4 + 5*o**2 = 0?
-3, -2, 0
Suppose 488 - 476 = c - 2*j, -42 = -2*c + 7*j. Find i, given that -2/3*i**3 + c - 8/9*i**2 + 8/9*i = 0.
-2, 0, 2/3
Let v(r) = -r**3 + 19*r**2 - 111*r + 433. Let z be v(13). Factor -1/2*u**2 + 1/2*u**z + 0*u**3 - 1/4*u**5 + 1/4*u + 0.
-u*(u - 1)**3*(u + 1)/4
Suppose 2/11*g**2 + 845000/11 + 2600/11*g = 0. Calculate g.
-650
Let l(i) = -i**4 + 72*i**3 + 51*i**2 - 742*i + 22. Let z(a) = 18*a**3 + 12*a**2 - 186*a + 6. Let c(h) = -3*l(h) + 11*z(h). Factor c(u).
3*u*(u - 5)*(u - 4)*(u + 3)
Factor 0 + 2738*k + 296/3*k**2 + 8/9*k**3.
2*k*(2*k + 111)**2/9
Suppose -4*i + 146 + 364 = 28*i + 223*i. Suppose 4/5*m**2 - 12/5 - 2/5*m**3 + i*m = 0. What is m?
-2, 1, 3
Suppose 25*f - 20*f = -4*q + 44, -3*f - q + 11 = 0. Suppose 4/5*y - 4/5*y**3 + f + 6/5*y**2 = 0. Calculate y.
-1/2, 0, 2
Let u(r) be the first derivative of 21 + 0*r**3 + 0*r**4 + 1/60*r**5 + 0*r + 6*r**2. Let x(y) be the second derivative of u(y). Determine q so that x(q) = 0.
0
Let l(n) be the second derivative of -n**6/40 + 1359*n**5/80 - 68403*n**4/16 + 3442951*n**3/8 + 163*n - 4. Factor l(p).
-3*p*(p - 151)**3/4
Let v be (0 - -6)/(30/(-6100)). Let y be v/(-50) + (-6)/(-10). Let y*x + 6*x**3 + 10*x**2 + 5*x**3 - 17*x**3 + 7*x**3 = 0. What is x?
-5, 0
Let q(h) be the third derivative of 0*h**4 + 0*h + 0*h**3 + 9*h**2 - 1/45*h**5 + 7/180*h**6 + 4 - 1/105*h**7. Solve q(u) = 0 for u.
0, 1/3, 2
Let v(i) = 5*i**2 - 8*i - 24. Let p be v(4). Solve -20*u**2 - 13*u + 20*u**3 + 12*u + p - 4*u**4 - 19*u = 0.
-1, 1, 2, 3
Solve -256*n + 89728*n**2 - 392 - 1114*n - 89721*n**2 = 0.
-2/7, 196
Let z(u) = 2*u**2 - u - 7. Let q be z(-2). Suppose -18*n + q*n = -30. Factor -7 + 9*l**2 - 3*l**2 + 4*l - 1 - 4*l**3 + n*l**2.
-4*(l - 2)*(l - 1)*(l + 1)
Let q(y) be the first derivative of -1/9*y**3 + 5*y**2 - 75*y + 75. Factor q(l).
-(l - 15)**2/3
Let i(b) be the third derivative of -23/3*b**3 - b + 16*b**2 + 0 - 35/18*