s s in -4*s + 0 + c*s**2 = 0?
0, 14
Factor -234*x - 550*x - 339799*x**2 - 206*x**3 + 10*x**4 + 337755*x**2.
2*x*(x - 28)*(x + 7)*(5*x + 2)
Suppose -111*n - 3094 = -124*n. Let b = -236 + n. Factor -1/2*i**b - 1/2*i + 3.
-(i - 2)*(i + 3)/2
Let h(w) be the second derivative of -w**4/72 + 29*w**3/9 + 39*w**2/4 + 650*w. Factor h(v).
-(v - 117)*(v + 1)/6
Let r(z) = -7*z**2 - 1017*z - 284. Let y be r(-145). Factor y*o**4 + 0*o + 0 + 16/3*o**3 + 2/3*o**5 + 0*o**2.
2*o**3*(o + 1)*(o + 8)/3
Let w(d) be the first derivative of 10 + 3/7*d**3 - 3*d + 5/42*d**4 - 2/7*d**2. Let p(u) be the first derivative of w(u). Factor p(j).
2*(j + 2)*(5*j - 1)/7
Suppose -26*i + 788 = -512. Suppose -3*w - 18 - i = -5*u, 0 = 3*u - w - 44. Find q, given that 16/3*q + u + 4/9*q**2 = 0.
-6
Let w be 3 + (36/12 - 3). Let p(l) be the second derivative of -1/12*l**4 - 1/6*l**w + l**2 + 0 - 3*l. Factor p(u).
-(u - 1)*(u + 2)
Let n be (-14)/(-8)*2*(-84)/(-49). Let t(o) = -3*o + 21. Let k be t(n). Factor 3*x**2 - 2*x**4 + 3*x**4 + 2*x**4 + 38*x**k - 32*x**3.
3*x**2*(x + 1)**2
Find v such that 4343*v - 1673*v - 600*v**2 + 595*v**2 - 356445 = 0.
267
Let w = -1169 + 1171. Let j = -349 + 613. Factor -162*k**w - 3 + j*k**3 + 75/2*k - 96*k**4.
-3*(k - 2)*(4*k - 1)**3/2
Let i(h) be the third derivative of h**6/45 + 269*h**5/90 - 485*h**4/36 - 46*h**3/3 - 74*h**2 + 10*h. Factor i(f).
2*(f - 2)*(f + 69)*(4*f + 1)/3
Let x(d) = -81*d + 2. Let i be x(2). Let p be (72/(-15))/(128/i). Determine q so that p + 3*q**3 + 9/2*q**2 - 12*q - 3/2*q**4 = 0.
-2, 1, 2
Suppose 2*v - 7*v + 40 = -4*y, -3*v - 3*y - 3 = 0. Let c be (375/(-21))/5 + v. Solve 3/7*q**2 - 3/7 - 3/7*q + c*q**3 = 0 for q.
-1, 1
Suppose 5*m - 9*m = -4*l - 56, 38 = 3*m - 5*l. Suppose 6*u - 44 = -m*u. Let 0*a + 0 - 1/4*a**5 + 1/4*a**4 - 1/4*a**u + 1/4*a**3 = 0. Calculate a.
-1, 0, 1
Let k be (-8)/16 - 81/6. Let p be (-32)/(-7) + (-6)/k. Solve -4*o**4 + 9*o**4 + 20*o**3 + 11*o**4 + 4*o**p + 8*o**2 = 0 for o.
-2, -1, 0
Let i(m) be the second derivative of -16/3*m**4 + 0*m**2 + 6/5*m**5 + 2/15*m**6 + 2*m + 80 + 0*m**3. Solve i(w) = 0 for w.
-8, 0, 2
Factor -91/2*j**2 + 110*j - 2*j**3 - 125/2.
-(j - 1)*(j + 25)*(4*j - 5)/2
Factor -1/4*h**2 + 51/4 + 7/2*h.
-(h - 17)*(h + 3)/4
Let w(b) be the second derivative of -5*b**4/12 + 65*b**3/6 - 55*b**2/2 - 4*b. Let s(j) = -j + 2. Let c(t) = -5*s(t) + w(t). Solve c(u) = 0 for u.
1, 13
Let q be 2*2/3*3. Suppose -3*o + q*k = 2*o - 279, -3*o + k = -166. Let 35*v**2 + 12 + 13 + 14*v**3 - 9*v**3 + o*v = 0. Calculate v.
-5, -1
Let s = 188 - 4699/25. Let t = s - -193/175. Factor -60/7*v + 52/7*v**2 + t.
4*(v - 1)*(13*v - 2)/7
Let q(m) = -125*m**2 - 111*m + 14. Let d(o) = -128*o**2 - 111*o + 17. Let v(a) = -8*d(a) + 9*q(a). Factor v(t).
-(t + 1)*(101*t + 10)
Let v(i) be the third derivative of -35*i**2 - 1/6*i**4 + 0*i + 0*i**5 + 0 + 0*i**3 + 1/30*i**6. Factor v(p).
4*p*(p - 1)*(p + 1)
Let s(j) be the first derivative of 5*j**7/42 - j**6/12 + 29*j**2/2 - 11. Let r(u) be the second derivative of s(u). Factor r(l).
5*l**3*(5*l - 2)
Suppose 16*u = 19*u - 2*m - 86, -u - 4*m = -38. Let t be 4/u - 42/(-135). Solve 2/3 - t*v**2 + 2/9*v = 0 for v.
-1, 3/2
Suppose -32 = -2649*m + 2633*m. Let o = -350/11 + 32. Determine a, given that -o*a**m + 2/11*a + 0 = 0.
0, 1
Let 302*n**4 - 2*n**5 + 11888 + 3253*n - 336 + 7995*n - 17112*n**3 - 18015*n**2 + 5866*n**3 + 6161*n**2 = 0. What is n?
-1, 1, 76
Let i(f) = -f**3 + 26*f**2 - 472*f + 1656. Let m(a) = 2*a**2 - a + 1. Let z(u) = 3*i(u) + 24*m(u). Suppose z(l) = 0. Calculate l.
8, 26
Let o(w) be the first derivative of w**4/16 + 29*w**3/6 + 1081*w**2/8 + 1587*w + 881. Let o(j) = 0. What is j?
-23, -12
Let b be 135/25 - 44*(-43)/(-4730). Suppose 108*v**3 - 44*v**2 - 72 - 168*v - 49/2*v**b + 63/2*v**4 = 0. What is v?
-1, -6/7, 2
Let z(b) be the third derivative of b**7/1050 - 17*b**6/300 + 21*b**5/100 + 17*b**4/60 - 32*b**3/15 - 4305*b**2 - 2*b. Let z(k) = 0. Calculate k.
-1, 1, 2, 32
Let f be -1 + 5/7 + (-5187)/(-17640). Let d(u) be the second derivative of 0*u**3 - f*u**5 + 0*u**4 - 6*u + 0*u**2 - 1/180*u**6 + 0. Factor d(s).
-s**3*(s + 1)/6
Solve 225 + c**2 + 133 - 760*c + 0*c**2 - 4*c**2 + 150 = 0 for c.
-254, 2/3
Let d(i) be the first derivative of i**6/36 + 7*i**5/30 - i**4/2 - 80*i**3/9 - 88*i**2/3 - 40*i + 4773. Factor d(s).
(s - 5)*(s + 2)**3*(s + 6)/6
Let k(p) = -p**2 - 12*p - 28. Let d be k(-8). Let r be d + (-13)/(78/24). Factor r*a**2 - 1/2*a**3 + 1/2*a + 0.
-a*(a - 1)*(a + 1)/2
Let w(k) be the second derivative of 8/105*k**6 + 0*k**2 - 2/147*k**7 - 3/35*k**5 + 0*k**4 + 0 - 21*k + 0*k**3. Factor w(t).
-4*t**3*(t - 3)*(t - 1)/7
Let f = -126465 - -379396/3. Factor 5/3*p + 8/3*p**2 + 4/3*p**3 + f.
(p + 1)*(2*p + 1)**2/3
Let -42282/11*x + 39366/11 + 126/11*x**4 + 16092/11*x**2 - 2484/11*x**3 - 2/11*x**5 = 0. What is x?
3, 27
Let y(k) be the second derivative of -20*k**3 - 29*k - 18*k**2 - 11/4*k**4 + 9/20*k**5 + 0. Let y(b) = 0. Calculate b.
-2, -1/3, 6
What is i in 1163/2*i**2 + 501*i + 80*i**3 - 1/2*i**4 + 0 = 0?
-6, -1, 0, 167
Suppose -5*n - 35 + 7 = -z, 0 = -3*z - n + 36. Let -z*b + 50 - b**2 - 11*b - b**2 + 34 + 2*b = 0. Calculate b.
-14, 3
Let q be (-20)/6*103/(-206). Let p = 28/15 - q. Suppose p*j**4 + 125 + 100*j + 4*j**3 + 30*j**2 = 0. What is j?
-5
Suppose -23 = -4*l - c, 0*c + 24 = 3*l + 3*c. Suppose -4*y + 5 = l*f, -2*f - y + 8 = 3. Factor f*g - 13*g**4 - 5*g**2 - 5*g**3 + 8*g**4 + 10*g**4.
5*g*(g - 1)**2*(g + 1)
Suppose 24820 = 1875*v - 1892*v. Let s = -1458 - v. Factor -2/3*l + 2/3*l**s + 0.
2*l*(l - 1)/3
Suppose -277*x**2 - 2*x**3 + x**3 - 277*x**2 - 59 + 548*x**2 + 127*x - 61 = 0. Calculate x.
-15, 1, 8
Let m(o) be the third derivative of -20*o**2 + 3 + 0*o - 17/8*o**4 - 1/20*o**5 + 0*o**3. Factor m(t).
-3*t*(t + 17)
Let r = 66637/2 + -33318. Factor 0 + v**3 + 1/2*v**4 + r*v**2 + 0*v.
v**2*(v + 1)**2/2
Let n(j) be the third derivative of j**6/150 - 362*j**5/25 + 65522*j**4/5 - 94875856*j**3/15 + 9*j**2 + 84. What is t in n(t) = 0?
362
Let t(c) = c**3 - 4*c**2 - 10*c - 8. Let p be t(6). Factor -2*f**p + 2256*f**3 - f**4 - 2256*f**3.
-3*f**4
Let i(n) be the second derivative of -n**6/15 - n**5/5 + n**4/6 + 2*n**3/3 - 204*n - 8. Factor i(k).
-2*k*(k - 1)*(k + 1)*(k + 2)
Suppose -28 = -6*v - 4. Solve 7*n - 104*n**2 + 5*n + 18 - 12*n**5 + 64*n**v + 22 = 0 for n.
-1, -2/3, 1, 5
Find j, given that -2418/5*j - 126*j**2 - 3042/5 - 54/5*j**3 = 0.
-13/3, -3
Let z(w) be the first derivative of w**3/12 - 31*w**2/8 - 51*w/2 + 136. Determine p, given that z(p) = 0.
-3, 34
Let q(j) be the first derivative of 75*j**4/4 - 5005*j**3 - 6024*j**2 - 2412*j + 648. Factor q(s).
3*(s - 201)*(5*s + 2)**2
Let u(y) be the first derivative of -249 + 50/7*y + 1/21*y**3 + 51/14*y**2. Factor u(p).
(p + 1)*(p + 50)/7
Let a(l) = l**2 - 6*l + 3. Let d(z) = -8*z**2 + 15*z - 67. Let c(j) = 6*a(j) + d(j). Factor c(h).
-(h + 7)*(2*h + 7)
Let q(a) be the first derivative of -115/3*a**3 + 35/6*a**6 - 15*a**2 - 5/4*a**4 + 0*a + 23*a**5 - 199. Solve q(t) = 0.
-3, -1, -2/7, 0, 1
Let j(r) be the third derivative of r**6/144 + 35*r**5/18 + 23785*r**4/144 - 25205*r**3/18 + 3*r**2 + 598. What is n in j(n) = 0?
-71, 2
Let k(b) = 771*b**3 + 925*b**2 - 1536*b - 8. Let n(v) = -771*v**3 - 888*v**2 + 1536*v + 9. Let q(l) = 3*k(l) + 4*n(l). Factor q(a).
-3*(a - 1)*(a + 2)*(257*a + 2)
Factor 68/9*m**4 - 121*m - 1222/9*m**3 + 0 + 748/3*m**2 - 1/9*m**5.
-m*(m - 33)**2*(m - 1)**2/9
Let b = 74 - 54. Factor -18 + 78 - x**2 - 3*x**2 + b*x - x**2.
-5*(x - 6)*(x + 2)
Suppose -239*t + 926*t - 1374 = 0. Let n(c) be the second derivative of -22*c + c**t + 7/54*c**4 + 1/90*c**5 + 5/9*c**3 + 0. Factor n(l).
2*(l + 1)*(l + 3)**2/9
Let d(h) be the second derivative of 146*h - 441/2*h**2 - 21/20*h**5 + 7/2*h**3 + 1/120*h**6 + 1763/48*h**4 + 0. Solve d(q) = 0.
-1, 1, 42
Let q(w) = -111*w**3 - 2*w**2 + w. Let c be q(1). Let d be ((-18)/(-4) - 0)*c/(-84). Determine z, given that -d*z**2 + 10*z + 0*z**3 + 2*z - 3*z**3 - 3*z = 0.
-3, 0, 1
Let g = -3390 + 5731. Factor 2336*n + 11*n**3 - 2*n**3 - 5*n**5 - g*n + n**3.
-5*n*(n - 1)**2*(n + 1)**2
Let d(b) be the first derivative of -968/5*b + 35 + 44/5*b**2 - 2/15*b**3. Suppose d(g) = 0. Calculate g.
22
Let o be 39/((-9945)/1335) - -11. Suppose 0 - o*b**2 + 148/17*b**3 - 38/17*b**4