224/9*d + 446/9*d**3 + 3472/9.
2*(d + 2)**3*(d + 217)/9
Let l(r) be the third derivative of 9/112*r**8 + 0*r**3 + 0 + 2*r**2 - 25*r - 43/200*r**6 + 19/350*r**7 - 19/100*r**5 - 1/20*r**4. Find b such that l(b) = 0.
-1, -2/9, -1/5, 0, 1
Let h be (-100 - -95) + ((-30)/12 + 7)*2. Find s such that 0*s**2 + 1/3*s**5 + 1/3*s + 0 + 0*s**h - 2/3*s**3 = 0.
-1, 0, 1
Let u(m) be the second derivative of -5*m**4/12 + 260*m**3 + 499*m. Factor u(p).
-5*p*(p - 312)
Let q(m) be the second derivative of -2*m**6/3 + 4*m**5/5 + 7*m**4/3 - 4*m**3 + 1547*m. Suppose q(d) = 0. Calculate d.
-6/5, 0, 1
Suppose -3*n - 5361*p = -5360*p - 5, 0 = 2*n - 4*p - 50. Determine u so that -15/7*u**4 - 18/7*u**3 + 9/7 + 3*u - 3/7*u**n + 6/7*u**2 = 0.
-3, -1, 1
Let h(s) = 4 + 0 + 7*s + 0 - 5*s - 8. Let y be h(3). Solve 3/2*x**y - x**3 - x + 1/4 + 1/4*x**4 = 0 for x.
1
Let j be 72/(-48) + 14/4. Factor -8 - 2 - 199*d - j*d**2 + 211*d.
-2*(d - 5)*(d - 1)
Let x(s) be the second derivative of -25/6*s**3 - 1/5*s**5 - 7/3*s**4 - 44*s - 3*s**2 + 0. Factor x(w).
-(w + 6)*(2*w + 1)**2
Suppose 11*i = 3*g + 10*i - 12, 2*i = g - 9. Find k, given that 25/8*k**2 + 1/8*k**5 - 5/8*k**g - 5/8*k**4 + 2 + 5*k = 0.
-1, 4
Suppose -114 + 8820*g + 9521*g**2 + 396*g**3 - 4056 - 8612 - 6426 + 467*g**2 + 4*g**4 = 0. Calculate g.
-49, -2, 1
Let d be (8*12/576 - 60/144) + 162/40. Find z such that 4*z + d + 1/5*z**2 = 0.
-19, -1
Suppose 24*x - 27 - 21 = 0. Factor -1458 + 0*w**x - 10*w**2 - 2*w - 106*w + 8*w**2.
-2*(w + 27)**2
Let m(y) be the third derivative of y**8/756 + 4*y**7/945 - y**6/10 - 8*y**5/135 + 34*y**4/27 + 32*y**3/9 - 1229*y**2. Determine g, given that m(g) = 0.
-6, -1, 2, 4
Factor 5509*o - 6014*o + 8623*o + 7582*o + 12324500 + 5*o**2.
5*(o + 1570)**2
Let x(c) be the second derivative of c**7/280 + c**6/20 + c**5/8 + 5*c**3/3 + c**2 + 14*c. Let r(k) be the second derivative of x(k). Factor r(v).
3*v*(v + 1)*(v + 5)
Suppose 0 = -3*d - 5*w + 4, d + 4*w + 0 = 6. Let b be (d - 100/(-45))/(24/54). Determine o, given that -3/4*o + 1/2*o**3 - b + 3/4*o**2 = 0.
-2, -1/2, 1
What is k in -1/2*k**3 - 3/2*k**4 + 3/2*k**2 + 0 - 1/2*k**5 + k = 0?
-2, -1, 0, 1
Factor 34322/11*b**2 + 162/11 + 4716/11*b.
2*(131*b + 9)**2/11
Suppose 4*y = -2*z + 24, -33 = -2*z - 2*z - 5*y. Factor -105*x + 106*x + x**z - 2*x**2 + 2.
-(x - 2)*(x + 1)
Let m(d) be the third derivative of -d**5/40 - 17*d**4/8 - 16*d**3 - 198*d**2. Let m(q) = 0. Calculate q.
-32, -2
Let l(o) be the third derivative of -14/75*o**5 - 1/840*o**8 + 0*o**3 + 1/175*o**7 + 0 + 3*o**2 + 9*o + 2/5*o**4 + 1/50*o**6. Factor l(t).
-2*t*(t - 2)**3*(t + 3)/5
Solve -59*l**2 - 92*l**3 + 304*l + 4*l**5 + 161*l**4 - 198*l**2 - 135*l**2 - 97*l**4 + 544 = 0 for l.
-17, -2, -1, 2
Let w(k) be the second derivative of 36*k - 90*k**2 + 0*k**3 - 1/4*k**5 + 35/12*k**4 + 2. Factor w(u).
-5*(u - 6)*(u - 3)*(u + 2)
Let q(j) = 4*j**4 + 128*j**3 + 40*j**2 - 132*j + 4. Let w(s) = 4*s**4 + 129*s**3 + 29*s**2 - 132*s + 3. Let m(i) = 3*q(i) - 4*w(i). Suppose m(c) = 0. What is c?
-33, -1, 0, 1
Let a be 4768/(-6) + (444/(-36) - -13). Let y = a - -796. Solve -8/7*r**3 + 4/7*r + 8/7 + 8/7*r**4 + 4/7*r**5 - 16/7*r**y = 0.
-2, -1, 1
Let p be (4 + -4)/((-735)/(-15) + -51). Find y such that 14/3*y + 2/3*y**4 + p - 14/3*y**3 - 2/3*y**2 = 0.
-1, 0, 1, 7
Let w = -515361 - -515361. Factor -1/2*p**5 + 2*p**2 + w + 3/2*p**3 - p**4 - 2*p.
-p*(p - 1)**2*(p + 2)**2/2
Solve -46*m**4 + 36 + 85 + 17*m - 217*m**2 + 41 - 4*m**5 - 107*m**2 - 192*m**3 - 125*m = 0 for m.
-3, 1/2
Let -141 - t**2 + 149 - 1085*t + 1092*t = 0. Calculate t.
-1, 8
Let i(m) be the third derivative of m**5/20 + 4*m**4/3 + 37*m**3/3 + 522*m**2. Let q be i(-8). Determine z, given that -5/2*z**3 - q*z**2 - 15/2*z + 0 = 0.
-3, -1, 0
Suppose -11*r + 4*r = -14. Factor -8*t**r + 265*t + 3*t**3 - 261*t + t**3.
4*t*(t - 1)**2
Let p(y) be the second derivative of 5*y**7/42 - 1826*y**6/3 + 1110816*y**5 - 749179620*y**4 - 3011553720*y**3 - 2*y - 1886. Let p(f) = 0. What is f?
-2, 0, 1218
Factor -8/5*i**2 + 284/5 + 1134/5*i.
-2*(i - 142)*(4*i + 1)/5
Let q(i) = 11*i**2 - 97*i - 363. Let y(t) = 4*t**2 + 3. Let d(c) = 2*q(c) - 6*y(c). Suppose d(v) = 0. Calculate v.
-93, -4
Suppose 2936*m = 2924*m. Let f(y) be the third derivative of 1/16*y**4 + 1/40*y**5 - 1/4*y**3 - 1/80*y**6 - 11*y**2 + m*y + 0. Factor f(l).
-3*(l - 1)**2*(l + 1)/2
Factor 58/3*p + 8/3 - 5*p**2.
-(p - 4)*(15*p + 2)/3
Let p(k) = -2*k**2 - 2*k + 3. Let w(b) = -b**2 + 198*b - 401. Let a(g) = p(g) - w(g). Factor a(c).
-(c - 2)*(c + 202)
Let r(k) be the first derivative of -32 + 0*k - 2/5*k**2 + 2/15*k**3. Find v, given that r(v) = 0.
0, 2
Let f = 4391102/422205 + -34/84441. Factor 10*h - f*h**2 + 2/5.
-2*(h - 1)*(26*h + 1)/5
Let r(z) = -4*z**2 - 121*z - 38. Let k be r(-30). Let o(p) = p**3 + 9*p**2 + 7*p - 6. Let v be o(k). Find h such that -8/7 - v*h**3 - 40/7*h - 46/7*h**2 = 0.
-2, -1, -2/7
Let b be -1 + -1 + (-5 - -10). Let 6*r**4 - 24*r**2 + 73*r - 30*r**3 + b*r**5 - 54 - 54*r + 80*r = 0. Calculate r.
-3, 1, 2
Let r = -386 + 773/2. Let d(n) be the first derivative of n**2 + 9 - r*n**4 - 2/9*n**3 + 4/3*n - 2/15*n**5. Find p such that d(p) = 0.
-2, -1, 1
Factor 21237*d**2 - 3960*d + 363/2*d**4 + 363/2 + 3960*d**3.
3*(d + 11)**2*(11*d - 1)**2/2
Let j(y) = y**4 - 4*y**3 + y**2 - 2*y - 1. Let s(p) = 15*p**4 - 64*p**3 + 35*p**2 - 50*p - 6. Let q(f) = -42*j(f) + 3*s(f). Factor q(g).
3*(g - 4)*(g - 2)*(g - 1)**2
Let h = -467 + 469. Factor -12*g**h + 192 - 18*g**2 - 764*g + 23*g**2 - 9*g**2.
-4*(g + 48)*(4*g - 1)
Let y(j) = -649*j + 45430. Let g be y(70). What is o in g + 2/3*o + 4/3*o**3 - 2*o**2 = 0?
0, 1/2, 1
Let j(w) be the first derivative of w**4/18 - 2*w**3 + 170*w**2/9 - 4198. What is p in j(p) = 0?
0, 10, 17
Suppose -11*s - 5*d = -27*s + 22, 0 = 3*s + 2*d - 10. Factor -2/3*l**s + 4/3 - 2/3*l.
-2*(l - 1)*(l + 2)/3
Suppose -279*w + 611*w - 236 = 214*w. Find s, given that 15/2 - 5/4*s**w - 25/4*s = 0.
-6, 1
Let j(l) be the first derivative of 1/7*l**2 - 215 - 4/7*l - 1/14*l**4 + 4/21*l**3. Factor j(i).
-2*(i - 2)*(i - 1)*(i + 1)/7
Factor 1/7*z**2 + 1158/7*z + 335241/7.
(z + 579)**2/7
Let -1829*t + 3591200 - 1861*t - 1670*t + 2*t**2 = 0. What is t?
1340
Let w be 0 - ((-5104)/(-33514) + (-10)/65). Let p = w - -1285/2578. Factor p*d + 1/2 + 1/8*d**2.
(d + 2)**2/8
Let s(n) be the second derivative of n**6/120 - n**5/16 - 5*n**4/6 + 35*n**3/6 - 12*n**2 + 846*n. Suppose s(y) = 0. What is y?
-6, 1, 2, 8
Let k(n) = -n**2 + 8*n + 12. Let q be k(9). Determine g so that -2*g**4 - g**5 - 29*g + 28*g + 5*g**3 + 15 + 17*g**4 - 16*g**2 - 3*g**q - 14*g**2 = 0.
-1, 1, 15
Suppose -282*k = -273*k - 11934. Let b = k + -1326. Suppose 1/3*i**3 + 1/6*i**2 - 1/3*i**5 - 1/6*i**4 + 0*i + b = 0. Calculate i.
-1, -1/2, 0, 1
Let t = 11 + -9. Suppose -8*u = 34*u - 504. Let 9 - 44*j**2 + 53*j**t + u*j + 18*j = 0. What is j?
-3, -1/3
Find d, given that -7/12*d**3 + 1/12*d**4 - 7/3*d**2 + 0 + 40/3*d = 0.
-5, 0, 4, 8
Let z(f) = -3*f**3 + 13*f**2 + 8*f - 7. Let t be z(6). Let g = -137 - t. Factor -13 - 9 - 8405*h**2 - 820*h + g.
-5*(41*h + 2)**2
Let r be (-108)/135 + 38/10. Let y(w) be the first derivative of 0*w - 1/10*w**5 + 0*w**2 + 9 + 0*w**r + 1/16*w**4 + 1/24*w**6. Find q such that y(q) = 0.
0, 1
Let q = -22 - -35. Suppose -q = -v - 2*g, 5*g + 5 - 30 = -v. Factor 3*r**v + 9*r**5 - 11*r**5 - r**3.
r**3*(r - 1)*(r + 1)
Let p be 2 - (4*3/(-6) - (-3854)/984). Let l(h) be the second derivative of -5/8*h**4 + 0*h**2 + 3/8*h**5 - h + 5/12*h**3 - 30 - p*h**6. Factor l(k).
-5*k*(k - 1)**3/2
Let w be (-38646)/(-117) - (4 - 200/52). Let k = w - 330. Factor -12/13 + k*g**2 - 10/13*g.
2*(g - 6)*(g + 1)/13
Suppose 14*l - 206 = -52. Factor -l + 20 - 4 + 10*b + 5*b**2.
5*(b + 1)**2
Let i(p) be the first derivative of 60/7*p - 2/21*p**3 - 29/7*p**2 - 183. Factor i(g).
-2*(g - 1)*(g + 30)/7
Let h be 41 - 27 - (-20)/(-2). Let s(a) be the third derivative of 1/12*a**h + 0*a + 0 + 0*a**3 + 1/30*a**5 + 15*a**2. Factor s(v).
2*v*(v + 1)
Suppose 2 = -l - a, -2*l = 16*a - 15*a. Factor -3 - 1 + 38*g**2 + 2*g - 36*g**l + 0*g.
2*(g - 1)*(g + 2)
Suppose 12*w - 14*w + 876 = 0. Factor -4*g**4 + 0*g**4 - 20*g**4 - 16*g**4 - w*g**3 + 450*g**3.
-4*g**3*(10*g - 3)
Let q(s) be the first derivative of s**3/3 - 15*s**2 - 304*s + 1495. Factor q(x).
(