erivative of c**8/14 + 578*c**7/35 - 5847*c**6/80 + 4841*c**5/40 - 1469*c**4/16 + 147*c**3/4 - 35*c**2 - c - 2. Solve a(f) = 0 for f.
-147, 1/4, 1
Let g(p) be the first derivative of 11*p + 16/3*p**3 + 9 - 7/6*p**4 - 4*p**2. Let z(k) be the first derivative of g(k). Solve z(i) = 0.
2/7, 2
Let v(u) = 183*u + 926. Let b be v(-5). Let j(n) be the second derivative of -b*n + 1/4*n**4 + 9/16*n**2 + 0 - 5/8*n**3. Factor j(z).
3*(2*z - 1)*(4*z - 3)/8
Let a be (-14)/(-1463)*11 + (-165)/(-57). Let z(s) be the first derivative of 3/14*s**4 - 3/7*s**2 + 16/21*s**a + 0*s + 11. Factor z(l).
2*l*(l + 3)*(3*l - 1)/7
Solve 0 + 1/6*p**5 - 5043*p + 15373/6*p**3 + 4879/2*p**2 + 247/6*p**4 = 0.
-123, -2, 0, 1
Let k = -1/16461 - -5497/164610. Let v(h) be the third derivative of -k*h**4 + 0*h - 1/50*h**6 + 0 + 0*h**3 - 1/25*h**5 - 2/525*h**7 + 39*h**2. Factor v(p).
-4*p*(p + 1)**3/5
Let v(l) = 2*l**3 - 518*l**2 + 34322*l - 33800. Let d(s) = 2*s**3 - 516*s**2 + 34323*s - 33800. Let g(q) = 4*d(q) - 6*v(q). Let g(k) = 0. Calculate k.
1, 130
Let l(r) = 4*r + 8. Let f be l(-1). Determine s so that 36*s**2 - 4*s**5 - 8*s**3 + 16*s - 10*s**f - s**4 - 4*s**5 - 25*s**4 = 0.
-4, -1, -1/2, 0, 1
Let o be 87750/2 + -34 + 32. Solve -o*z**3 + z - 12*z**2 + 43866*z**3 + 24*z - 6 = 0.
-3, 2/7, 1
Let w(k) = 3*k**4 + 48*k**3 - 635*k**2 + 1024*k + 10. Let y(s) = 2*s**4 + 52*s**3 - 636*s**2 + 1024*s + 8. Let i(f) = -8*w(f) + 10*y(f). Factor i(c).
-4*c*(c - 16)**2*(c - 2)
Let h(u) be the second derivative of u**4/36 + 17*u**3/6 + 63*u**2 + 6*u + 62. Factor h(a).
(a + 9)*(a + 42)/3
Suppose 1157*i = -661*i - 994*i + 25197 + 76035. Suppose -i - 6*s**2 - 87/2*s + 3/2*s**3 = 0. What is s?
-3, -1, 8
Suppose -7*w = -584 - 2566. Factor -2819*r**2 + 399*r**2 - 2968*r - w*r**3 - 3687 + 4471.
-2*(5*r + 14)**2*(9*r - 2)
Suppose -180*x - 744 = -892 - 1112. Let b(j) be the second derivative of 1/3*j**4 - 1/5*j**5 + x*j + 0*j**2 + 0*j**3 + 0. Factor b(w).
-4*w**2*(w - 1)
Let f(p) be the second derivative of 11 + 1/120*p**6 - 2*p + 5/2*p**2 + 2/3*p**3 - 1/20*p**5 - 3/16*p**4. Find k such that f(k) = 0.
-2, -1, 2, 5
Suppose -5*o + 3*x - 5*x + 22 = 0, 17 + 1 = 3*x. Solve -3/5*p**o + 0*p + 3/5 = 0 for p.
-1, 1
Let h be (102/119)/(((-144)/21)/(-6)). Let x(k) be the first derivative of 19 + h*k**4 + 0*k**2 - k**3 + 0*k. Solve x(q) = 0 for q.
0, 1
Let h(n) be the third derivative of -n**6/60 + 2*n**5/5 - 3*n**4/4 - 22*n**3/3 + 322*n**2. Let h(d) = 0. Calculate d.
-1, 2, 11
Suppose -4*a + 5*a - 23 = 3*y, 0 = -2*a - 8. Let u be (4 - -1)*y/(-90). Determine k, given that -u*k**2 + 0 + 0*k = 0.
0
Let b(g) be the third derivative of -2*g - 6*g**2 + 1/180*g**5 + 0 - 1/420*g**7 - 1/48*g**4 + 1/2016*g**8 + 1/360*g**6 + 1/36*g**3. Find p such that b(p) = 0.
-1, 1
Suppose 5*o + 2*p + 2*p = 116, -28 = -o - 2*p. Let i be (-17)/(-5) + (-8)/o. Determine g so that i*g**2 - 3*g**4 - 21*g + 47 + 21*g**3 - 47 = 0.
-1, 0, 1, 7
Let n(p) = -7*p**3 - 107*p**2 - 32*p + 2. Let h = -719 - -680. Let m(r) = -42*r**3 - 642*r**2 - 193*r + 13. Let l(j) = h*n(j) + 6*m(j). Factor l(d).
3*d*(d + 15)*(7*d + 2)
Suppose -3*p = -4*u + 188, 4*u - 2*p - 184 = -0*u. Solve -16*n**5 - 19*n**5 + 44*n**4 - u*n**2 + 36*n**3 + 39*n**5 - 40*n = 0.
-10, -1, 0, 1
Let q(a) be the first derivative of -a**6/3 + 28*a**5/5 - 33*a**4 + 272*a**3/3 - 125*a**2 + 84*a - 2120. Find c, given that q(c) = 0.
1, 2, 3, 7
Let s = -169982/799 + 10010/47. Factor -s*v + 2/17*v**2 - 16/17.
2*(v - 4)*(v + 2)/17
Suppose 0 = -16*o + 42*o. Suppose -6*k + 0 + 6 = o, -k + 7 = 3*b. Find l, given that 363/5 + 3/5*l**b - 66/5*l = 0.
11
Suppose 118*t - 120*t + 92 = 0. Factor -t*l - 1176 - l**2 - 1255 + 1902.
-(l + 23)**2
Let r(s) be the first derivative of s**4/14 + 272*s**3/21 + 135*s**2/7 - 12059. Factor r(c).
2*c*(c + 1)*(c + 135)/7
Let w(m) = 6*m**3 - 107*m**2 - 20*m + 36. Let z = -313 - -331. Let y be w(z). Factor -4*g**2 + y - 8/3*g - 4/3*g**3.
-4*g*(g + 1)*(g + 2)/3
Suppose -304*p - 744 = -397*p. Let b(z) be the third derivative of 0*z - p*z**2 - 10/3*z**3 + 0 + 5/12*z**5 + 1/8*z**6 - 5/6*z**4. Solve b(i) = 0 for i.
-2, -2/3, 1
Let r(o) = o - 1. Suppose -1 = -6*x + 5. Let z be r(x). Factor 7/2*p**4 + 0 - 3/2*p**5 + 0*p**2 - p**3 + z*p.
-p**3*(p - 2)*(3*p - 1)/2
What is b in -7/4*b**2 + 5/8*b**3 + 0 + 1/8*b**4 + 0*b = 0?
-7, 0, 2
Let p(u) be the first derivative of -4*u**5/5 - 10*u**4 + 224*u**3/3 + 576*u**2 - 4608*u + 2731. Solve p(g) = 0.
-12, -6, 4
Factor 1563/2 - 3/4*y**2 + 1557/4*y.
-3*(y - 521)*(y + 2)/4
Let z(n) be the first derivative of 10*n**3/21 + 493*n**2/7 + 9032. Factor z(l).
2*l*(5*l + 493)/7
Let q = -194 - -542. Factor 18 + 3*i**2 + q*i - 93 - 276*i.
3*(i - 1)*(i + 25)
Let i(t) = 3*t**2 + 56*t - 10. Let f be i(-19). Solve -7 + 110*m**2 - f - 19*m**4 - 42*m**3 - 14 + 5*m - 11*m**4 - 13*m**3 = 0 for m.
-3, -1/2, 2/3, 1
Let y be 8/(-14)*-7*8/16. Let s be ((-35)/10)/((-2)/8). Factor p**2 + 3*p**3 + 13*p - 2*p**y - 9 - s*p**2 + 8*p.
3*(p - 3)*(p - 1)**2
Let m(s) be the first derivative of -s**8/560 + s**6/100 - s**4/40 + 16*s**2 + 135. Let z(v) be the second derivative of m(v). Factor z(c).
-3*c*(c - 1)**2*(c + 1)**2/5
Suppose -29/5*p**2 - 39*p + 45 - 1/5*p**3 = 0. Calculate p.
-15, 1
Let r be (2 + (-32)/4)*10/20 - -3. Let u(l) be the third derivative of 1/30*l**5 + 1/240*l**6 + 0*l + r + 1/12*l**4 + 0*l**3 - 14*l**2. What is y in u(y) = 0?
-2, 0
Let j(n) = 13*n**3 - 391*n**2 - 2472*n - 3716. Let l(y) = 15*y**3 - 390*y**2 - 2475*y - 3714. Let s(w) = -6*j(w) + 5*l(w). Determine t, given that s(t) = 0.
-3, 138
Let d(m) be the third derivative of 5*m**7/14 + 31*m**6/24 + 17*m**5/12 + 5*m**4/24 + 60*m**2. Solve d(q) = 0 for q.
-1, -1/15, 0
Suppose 6 = -6*u + 4*u. Let k be u/(-24)*-2*(-21 - -1). Factor -27*d - 17*d - 3*d**3 + d**5 + d**4 - k*d**2 + 42*d.
d*(d - 2)*(d + 1)**3
Determine z so that -133479 - 487*z**3 + 2224*z**2 - z**5 - 6080*z + 139879 + 32*z**4 + 99*z**3 = 0.
4, 10
Let l(q) be the third derivative of -q**7/210 + 11*q**6/60 + 887*q**2. Factor l(f).
-f**3*(f - 22)
Suppose 5408*z - 715*z**2 - 1295*z**3 - 4458*z - 13*z**5 - 2*z**5 + 355*z**4 = 0. What is z?
-1, 0, 2/3, 5, 19
Let r = -61 + 65. Suppose 5*t - 61 = -x - x, -3*x + 81 = r*t. Solve 25*l**3 + x*l**3 - 12*l - 51*l**3 - 12*l**2 = 0 for l.
-2, 0
Let c = -18 - -94/5. Let m be ((-1)/(-5))/((-6)/(-8) - 1555/2488). Solve -m*z - c*z**5 - 1/5 - 28/5*z**3 - 17/5*z**4 - 22/5*z**2 = 0 for z.
-1, -1/4
Let q(o) = 16*o**3 + 4016*o**2 - 1007936*o - 20. Let x(f) = f**3 + 4*f - 1. Let b(m) = -q(m) + 20*x(m). Factor b(g).
4*g*(g - 502)**2
Let x(r) = -2 - 5*r + 3*r - r**4 + 34*r**3 + 3 - 33*r**3. Let j(l) = -2*l**4 - 5*l**3 + l**2 + 4*l + 1. Let h(u) = 5*j(u) - 5*x(u). Factor h(k).
-5*k*(k - 1)*(k + 1)*(k + 6)
Let q(o) = -3*o**3 + 24*o**2 + 12*o - 33. Suppose 24 - 21 = -3*d. Let j(f) = -f + 1. Let t(g) = d*q(g) - 9*j(g). Suppose t(l) = 0. What is l?
-1, 1, 8
Let k(y) be the third derivative of y**9/5040 - 3*y**8/2240 - 3*y**7/140 - y**4/3 + 4*y**3/3 - 96*y**2. Let b(f) be the second derivative of k(f). Factor b(t).
3*t**2*(t - 6)*(t + 3)
Let i = 320/19 - 2842/171. Let b(h) be the first derivative of -8/5*h**5 + 6*h**2 + 19 + 14/3*h**4 + i*h**6 - 64/9*h**3 - 8/3*h. Solve b(v) = 0 for v.
1, 2
Let l be (6/(-9))/(42/(-18)). Let k be -12 + (-5016)/(-361) - 2/(-19). Suppose -l*t**k + 6/7 - 4/7*t = 0. What is t?
-3, 1
Let t(z) = -z**3 + 306*z**2 + 295*z + 6. Let g(k) = -k**3 + k**2 + 1. Let c(o) = 6*g(o) - t(o). Factor c(p).
-5*p*(p + 1)*(p + 59)
Find p, given that -54808 + 212483*p**3 + 424321*p**3 + 86283*p**2 + 54856 - 19136*p + 1817745*p**2 = 0.
-3, 2/399
Let c(j) be the second derivative of j**8/1680 + j**7/315 - 23*j**4/6 - 64*j. Let s(x) be the third derivative of c(x). What is k in s(k) = 0?
-2, 0
Let m = -113 + 117. Suppose -m*h = 4*t - 24, 4*t = h - 4*h + 21. Factor b**3 - 10*b**2 + b**3 - 100*b + 2*b**h - 120 + b**3.
5*(b - 6)*(b + 2)**2
Suppose d - u = 2, -5*d - 3*u + 46 = u. Factor -59 - d*p + 4*p**2 + 38*p + 87.
4*(p + 1)*(p + 7)
Let u = -485179556/89121447 - -246/167837. Let c = 20/177 - u. Let -112/9*p**2 + 0 - 2/3*p**4 + 32/9*p + c*p**3 = 0. Calculate p.
0, 1/3, 4
Factor -5832/5 - 216/5*s - 2/5*s**2.
-2*(s + 54)**2/5
Factor -220*u**2 + 224*u**2 - 4000 - 214*u + 154*u.
4*(u - 40)*(u + 25)
Let n(o) be the third d