p(m).
(m - 31)*(m - 2)*(m + 1)**3/3
Let x(r) be the first derivative of r**5/150 - r**4/20 - 4*r**3/15 - 33*r**2 + 17. Let j(z) be the second derivative of x(z). Factor j(v).
2*(v - 4)*(v + 1)/5
Let y(a) be the third derivative of -10*a + 0 + 0*a**3 + 0*a**5 + 0*a**6 + a**2 + 0*a**4 + 1/336*a**8 + 1/210*a**7. Factor y(t).
t**4*(t + 1)
Suppose 1132 = l + 3*h - 13400, -2*l + 4*h = -29014. Factor -l*w + 690*w**2 - 16443*w - 780*w + 209368 - 5*w**3 + 277312.
-5*(w - 46)**3
Determine f so that 0 - 36/7*f + 3*f**2 - 3/7*f**3 = 0.
0, 3, 4
Let -1/2*b**5 + 0 + 0*b + 71/2*b**3 - 33*b**2 - 2*b**4 = 0. What is b?
-11, 0, 1, 6
Let y = -115638 + 115643. What is p in 0*p + 0 + 45/4*p**3 - 15/2*p**4 - y*p**2 + 5/4*p**5 = 0?
0, 1, 4
What is b in -273*b - 96 + 87350*b**3 - 87383*b**3 - 3*b**4 + 81*b - 126*b**2 = 0?
-4, -2, -1
Suppose 0 = -3*n - 2*l + 30, 850*n + 15 = 848*n + l. Solve 0 - 8/13*b**4 + 0*b**2 + n*b**3 + 0*b - 2/13*b**5 = 0.
-4, 0
Let i be 12 - 0/(7 + -9). Let u be (3 - 45/i)/(21/(-14)). Factor 0 - u*g**2 + g.
-g*(g - 2)/2
Suppose -s + 56 = 3*s. Suppose 11*v - s = 4*v. Find j such that 10*j**2 - 3*j**2 + 5*j**4 - j**5 + 4*j**3 - v*j - 13*j**3 = 0.
0, 1, 2
Suppose -541*p + 470*p = 1398*p + 606*p - 8300. Factor 46/11 - 2/11*a**2 - p*a.
-2*(a - 1)*(a + 23)/11
Let y = -376918 + 376920. Find j, given that -1/3 - 2*j**y - 3/2*j**3 + 11/6*j = 0.
-2, 1/3
Determine u, given that 1260*u + 685*u**4 - 2025*u**3 + 320*u**2 + 195 + 125 + 693*u**4 - 1253*u**4 = 0.
-2/5, 1, 16
Factor -30*x + 6*x + 2*x**2 - 31*x**3 - 16*x**2 + 28 - 18*x**2 + 4*x**4 + 55*x**3.
4*(x - 1)**2*(x + 1)*(x + 7)
Let r(f) = -11*f**3 + 48*f**2 + 100*f. Let l(a) = 25*a**3 - 96*a**2 - 202*a. Let w(x) = 4*l(x) + 9*r(x). Factor w(b).
b*(b + 2)*(b + 46)
Let f(i) be the third derivative of -i**7/525 - 2*i**6/75 - 17*i**5/150 - i**4/6 - 1435*i**2. Suppose f(z) = 0. What is z?
-5, -2, -1, 0
Suppose 4*b + s = 2, 3*b + 60 = s + 72. Let a(p) be the second derivative of 1/20*p**5 - 2/3*p**3 + 0*p**4 + 0*p**b + 0 - 46*p. What is v in a(v) = 0?
-2, 0, 2
Let o(w) be the third derivative of 3/4*w**3 - 1/32*w**4 - 1/60*w**5 + 0 + 0*w + 1/480*w**6 + 2*w**2. What is t in o(t) = 0?
-2, 3
Let s(g) = -3*g**4 - 5*g**2 - 8*g. Let u(i) = -8*i**4 - 79*i**2 + 70*i**2 - 12*i - 5*i. Let a(q) = -15*s(q) + 6*u(q). Determine c, given that a(c) = 0.
-2, -1, 0, 3
Let j(o) be the first derivative of -o**4 + 20*o**3/3 + 226*o**2 - 468*o - 1902. Suppose j(u) = 0. Calculate u.
-9, 1, 13
Suppose 14 = 3*y - l, 2*y + l - 13 = -2*l. Suppose 3*j - 7*j + 44 = 4*w, 0 = -2*w + y*j + 1. Determine i, given that 4 + i + 5*i**3 + 9*i + w*i**2 - 3*i**3 = 0.
-2, -1
Suppose -45*z = -51*z + 12. Suppose 5*v - 18 = z*n - 3*n, 5*n + 4*v - 27 = 0. Suppose 0*j + 2/9*j**4 - 8/9*j**2 - 8/9*j**n + 0 + 2/9*j**5 = 0. What is j?
-2, -1, 0, 2
Let r(d) = 5*d**2 - 77*d + 323. Let q(x) be the third derivative of x**4/24 + x**3/6 - 2*x**2 + 22*x. Let n(p) = 3*q(p) - r(p). Let n(m) = 0. What is m?
8
Let t(k) be the second derivative of 5*k**4/12 + 290*k**3 + 75690*k**2 + 4*k - 616. Find p such that t(p) = 0.
-174
Factor -268/17*z**3 - 98088/17*z + 2/17*z**4 + 267912/17 + 10442/17*z**2.
2*(z - 61)**2*(z - 6)**2/17
Determine b so that -6*b**2 + 2/13*b**3 - 2/13*b + 6 = 0.
-1, 1, 39
Solve 0*d + 11/2*d**5 + 0*d**2 + 15/2*d**3 + 0 + 13*d**4 = 0.
-15/11, -1, 0
Suppose -1403 - 15 = -709*p. Let 1/2*l**p - 41/2 - 20*l = 0. What is l?
-1, 41
Suppose -2*n + 0 = -6. Suppose -16 = -3*q - 2*z + z, q + z - 8 = 0. Suppose 11*r**3 - 2 - 26*r**3 + 4*r + 11*r**n + 2*r**q = 0. Calculate r.
-1, 1
Let b be 4 + (-253)/(-69) - 2/(-6). Let j(n) be the third derivative of 0 + 0*n**3 + 0*n + 1/240*n**5 + 0*n**4 + b*n**2. Solve j(q) = 0 for q.
0
Let p = -20565/14 + 10293/7. Factor -51/2 - p*y**2 - 27*y.
-3*(y + 1)*(y + 17)/2
Let a = 8311/1108 - 1/1108. Factor 17/2*j**3 + 0 - j + a*j**2.
j*(j + 1)*(17*j - 2)/2
Let v(w) be the second derivative of 40*w**2 + 5/12*w**4 - 20/3*w**3 - 2 + 74*w. Factor v(a).
5*(a - 4)**2
Let x(s) be the second derivative of 2*s**6/45 - 722*s**5/15 + 42956*s**4/3 + 116644*s**3 + 263538*s**2 - 212*s - 7. Let x(y) = 0. Calculate y.
-3, -1, 363
Let q(p) be the first derivative of -p**3 - 1008*p**2 - 2013*p - 2359. Factor q(n).
-3*(n + 1)*(n + 671)
Let o(w) be the second derivative of -49*w**5/5 + 2*w**4/3 + 392*w**3/3 - 16*w**2 + w + 618. Factor o(p).
-4*(p - 2)*(p + 2)*(49*p - 2)
Let j(i) be the third derivative of -2*i**7/105 + 2*i**6/15 + 16*i**5/5 - 24*i**4 - 288*i**3 + 1143*i**2. Factor j(p).
-4*(p - 6)**2*(p + 2)*(p + 6)
Let m(u) be the first derivative of 2*u**3/3 - 110*u**2 - 222*u - 2301. Find h, given that m(h) = 0.
-1, 111
Let p = 134141/1072808 + -5/134101. Let 0 + 0*b - p*b**5 - 7/8*b**3 + 5/8*b**4 + 3/8*b**2 = 0. Calculate b.
0, 1, 3
What is q in 1315*q**3 + 524*q - 23*q**5 + q**5 + 8*q**5 + 2216*q + 9*q**5 + 2930*q**2 + 200*q**4 + 920 = 0?
-2, -1, 46
Let r(m) be the second derivative of -m**5/5 - 63*m**4 - 6016*m**3 - 17672*m**2 - 169*m - 5. Solve r(k) = 0 for k.
-94, -1
Let c be (-47)/(-320 + -9)*(-1 + 2). Factor 0*f**3 - 3/7*f**2 - 2/7*f + 0 + c*f**4.
f*(f - 2)*(f + 1)**2/7
Let -32761*c**5 - 5474*c**4 + 720*c**3 + 20407*c**4 - 6812*c**4 + 4*c**2 + 23916*c**4 = 0. What is c?
-2/181, 0, 1
Let r be 522/(-58)*(-1)/(-867). Let x = r - -882/1445. Factor 4/5*l**3 - 1/5*l**4 - 4/5*l + 4/5 - x*l**2.
-(l - 2)**2*(l - 1)*(l + 1)/5
Let b be (-3)/(-140)*10*-2 - (9 - (-2616)/(-224)). Factor -5 - b*v - 1/4*v**2.
-(v + 4)*(v + 5)/4
Let s = 494 + -136. Let f = -2147/6 + s. Determine z so that -1/6*z**2 + f*z + 0 = 0.
0, 1
Suppose 7*d = -1144 + 2390. Suppose -d*y = -191*y + 52. Factor -1/4*n**2 - 1/4*n**y + 3/4*n - 3/4*n**3 + 1/2.
-(n - 1)*(n + 1)**2*(n + 2)/4
Suppose -628/3*x**2 - 4/3*x**4 - 1960/3 + 28*x**3 + 644*x = 0. What is x?
2, 5, 7
Suppose 315*p + 160 - 412 = 693. Let 0 - 1/5*m**5 + 0*m**4 + 11/5*m**p + 18/5*m**2 + 8/5*m = 0. What is m?
-2, -1, 0, 4
Let z = -2152 - -2157. Let n(r) be the second derivative of -7/15*r**4 + 74/15*r**3 + 0 + z*r - 4*r**2. Factor n(y).
-4*(y - 5)*(7*y - 2)/5
Let t(q) be the first derivative of -3*q**5/5 - 21*q**4/4 + 17*q**3 + 189*q**2/2 - 216*q + 676. Solve t(g) = 0 for g.
-8, -3, 1, 3
Let j(n) be the third derivative of 1/112*n**8 + 0*n**3 + 0*n - 9/10*n**5 + 0*n**4 + 1/7*n**7 + 0 + 7/40*n**6 - 222*n**2. Factor j(d).
3*d**2*(d - 1)*(d + 2)*(d + 9)
Suppose 634 = 2*k + 630. Suppose -k*q = -a, -6*a + 5*a + q = 0. Factor 0*b + 2/5*b**3 + 4/5*b**4 + 2/5*b**5 + a*b**2 + 0.
2*b**3*(b + 1)**2/5
Let i(n) = n**2 + n. Let l(r) be the first derivative of r**2 + 0*r + 2/3*r**3 - 30. Let j(a) = 4*i(a) - 3*l(a). Suppose j(w) = 0. What is w?
-1, 0
Let m = 6761 - 6757. Let q(a) be the second derivative of 0*a**2 - 1/40*a**5 - 4*a + 0 + 0*a**3 + 0*a**m - 1/28*a**7 - 1/15*a**6. Find v, given that q(v) = 0.
-1, -1/3, 0
Let p(z) be the second derivative of z**4/126 - 208*z**3/63 + 412*z**2/21 + 296*z - 2. Factor p(y).
2*(y - 206)*(y - 2)/21
Let s = -613955/2 + 306990. Determine f so that s + 27/2*f**2 + 1/2*f**3 + 51/2*f = 0.
-25, -1
Let r be 5/20 + (-611)/(-52). Suppose -4*f + 1 = -15, -3*n = -3*f + r. Factor n*v**2 + 0*v + 0 + 8*v**3 + 4/3*v**5 - 20/3*v**4.
4*v**3*(v - 3)*(v - 2)/3
Let z = 206484 - 825935/4. Factor -4*j**2 + 1/4*j**3 + 4 - z*j.
(j - 16)*(j - 1)*(j + 1)/4
Let u = 24 - 28. Let m be 148/20 + u + 4/(-10). Factor -904*g**4 - 7*g**3 + 5*g + 2*g**m + 5*g**2 + 899*g**4.
-5*g*(g - 1)*(g + 1)**2
Let q(w) be the first derivative of w**4/4 - w**3/3 - w**2/2 - 77. Let a(r) = 10*r**3 - 50*r**2 + 70*r + 125. Let x(l) = a(l) - 5*q(l). Let x(c) = 0. What is c?
-1, 5
Suppose -4*o - 3203 = -p - 3221, 0 = -3*o - 4*p - 34. Factor 15/2 - 1/2*n**o - n.
-(n - 3)*(n + 5)/2
Find a, given that -104/15*a**3 + 0 - 2/15*a**5 + 8/3*a**4 - 384/5*a - 64*a**2 = 0.
-2, 0, 12
Let c = 293 + -143. Factor 208*q**2 + 326*q**3 - 144*q**3 + 14 - 110*q - c*q**3.
2*(q + 7)*(4*q - 1)**2
Let k(w) = -w**4 - 39*w**3 - 135*w**2 + 75*w + 752. Let z(p) = -103*p**2 + 5*p**3 + 75*p + 753 - 44*p**3 - 32*p**2. Let b(y) = 3*k(y) - 2*z(y). Factor b(t).
-3*(t - 2)*(t + 5)**3
Factor 18*a**2 + 5*a**4 - 7*a**4 + 18584547*a**5 - 18*a**3 - 18584545*a**5.
2*a**2*(a - 3)*(a - 1)*(a + 3)
Factor 2/7*q**2 - 48/7*q + 18.
2*(q - 21)*(q - 3)/7
Let d = 595707 - 1787116/3. Determine i, given that