15 + 46*f**5/5 - 48*f**4 + 292*f**3/3 - 98*f**2 - 1593*f. Let t(z) = 0. Calculate z.
-49, 1
Suppose 0 = -2*u - 3*d + 17, -116 + 16 = -5*u + 4*d. Determine b, given that -22*b - 35*b**2 - u*b - 35*b - 25*b - 5*b**3 + 48*b = 0.
-5, -2, 0
Factor -3/7*x**2 + 0 - 792/7*x.
-3*x*(x + 264)/7
Suppose g + 4*q + 7 = 0, 3*q + 7 = g - 0. Let b(m) = 11*m**2 - 8*m + 9. Let a be b(g). Find f such that -17/2*f - a*f**2 - 2 - f**4 - 13/2*f**3 = 0.
-4, -1, -1/2
Let c(a) be the first derivative of -5*a**4/4 - 590*a**3/3 - 2295*a**2/2 - 1710*a + 4351. Suppose c(d) = 0. Calculate d.
-114, -3, -1
Let z(m) be the second derivative of -m**6/240 - m**5/20 + 8*m**3/3 + 16*m**2 - 1831*m. Factor z(k).
-(k - 4)*(k + 4)**3/8
Factor -2826/7*p**2 + 2/7*p**3 - 208974222/7 + 1331046/7*p.
2*(p - 471)**3/7
Let j = -476 - -247. Let d = -225 - j. Solve -2/15 - 2/15*b**d + 0*b + 4/15*b**2 + 0*b**3 = 0 for b.
-1, 1
Let k(a) = a**3 - 10*a**2 + 64*a - 160. Let w be k(4). Let 14/5*o**2 - 2/5*o**4 + 12/5*o + 0*o**3 + w = 0. Calculate o.
-2, -1, 0, 3
Let i = -140116 - -140121. Find k such that 133/4*k**3 - 1/2 + 25/4*k - 5/4*k**4 - 101/4*k**2 - 25/2*k**i = 0.
-2, 1/5, 1/2, 1
Let a(d) be the third derivative of -7/30*d**4 + 0*d - d**2 + 1/1050*d**7 - 2/5*d**3 - 1/300*d**6 - 19/300*d**5 - 19. Factor a(v).
(v - 6)*(v + 1)**2*(v + 2)/5
Let l(p) be the third derivative of -p**5/15 - 25*p**4 + 608*p**3/3 - 172*p**2. Factor l(g).
-4*(g - 2)*(g + 152)
Let v = 1715 - 1085. Find y, given that 24*y + 375*y**5 + v*y**3 + 86*y**4 - 1080*y**4 - 204*y**2 + 169*y**4 = 0.
0, 2/5, 1
Determine l so that -260*l - 125/2*l**3 - 1/6*l**5 + 600 - 11/2*l**4 - 1631/6*l**2 = 0.
-12, -5, 1
Let -546866 - 4*m**2 + 546866 - 384*m = 0. Calculate m.
-96, 0
Let j(l) be the second derivative of -7*l**6/360 - 4*l**5/45 - 11*l**4/72 - l**3/9 - 36*l**2 + 27*l. Let a(x) be the first derivative of j(x). Factor a(u).
-(u + 1)**2*(7*u + 2)/3
Let h = -516489 + 516491. Factor -1/9*l**4 + 0*l**h + 2/9*l**3 + 0 + 0*l.
-l**3*(l - 2)/9
Let w(n) be the first derivative of -n**7/3360 + 7*n**6/1440 - n**5/80 + 4*n**3/3 - 24*n + 249. Let a(p) be the third derivative of w(p). Factor a(r).
-r*(r - 6)*(r - 1)/4
Let r(s) be the third derivative of s**7/42 - 5*s**6/24 - s**5/12 + 25*s**4/24 - 677*s**2 + 2*s. Suppose r(h) = 0. Calculate h.
-1, 0, 1, 5
Let u(r) be the first derivative of 5*r**3/3 - 65*r**2/2 - 340*r - 982. Determine d so that u(d) = 0.
-4, 17
Suppose 3*m = 8*m. Let a = -11363/28 + 2846/7. Determine l so that m - a*l**2 + 1/2*l + 1/4*l**3 = 0.
0, 1, 2
Let n(d) be the second derivative of -d**9/15120 - d**8/3360 - d**7/2520 + d**4 - 7*d**3/6 + 202*d. Let y(q) be the third derivative of n(q). Factor y(s).
-s**2*(s + 1)**2
What is h in 87/2*h**2 + 720*h + 1/2*h**3 - 10368 = 0?
-48, 9
Let z be (-156)/2457*7 + 198/81. Let r = -6/5 - -17/10. Determine h so that 0*h**3 + 0 + r*h + 3/4*h**z - 1/4*h**4 = 0.
-1, 0, 2
Let k be (-2)/68 + -50 + (-1445983)/(-28798). Factor 2/11*n**2 + 2/11*n - 2/11*n**4 + 0 - k*n**3.
-2*n*(n - 1)*(n + 1)**2/11
Let c(k) = k + 10. Let g be c(-7). Suppose -g*p**3 + 60 - 5*p**3 + p**3 + 72*p + 10*p**3 + 27*p**2 + 0*p**3 = 0. What is p?
-5, -2
Let x(q) be the second derivative of -q**7/3780 + 17*q**6/135 - 1156*q**5/45 - 15*q**4/2 + 19*q. Let o(d) be the third derivative of x(d). Factor o(r).
-2*(r - 68)**2/3
Find j such that 12*j**4 + 212 + 193*j**2 + 10*j**5 + 264*j + 19*j**4 - 263*j**3 - 896 + 460*j**2 - 11*j**5 = 0.
-1, 1, 6, 19
Let i be (0/305)/((-2*1)/(-2)). Let g(z) be the third derivative of 0*z + 1/90*z**4 + 21*z**2 + 1/450*z**5 + i + 1/45*z**3. What is y in g(y) = 0?
-1
Let h(i) = -i**2 + 12*i + 11. Let v(g) = -g**2 - g - 1. Let r(n) = h(n) - 2*v(n). Factor r(o).
(o + 1)*(o + 13)
Let k be (-11)/(-5) + (-56)/(-70). Suppose -40 + 112*s**2 + 672*s**k - 24*s - 46*s - 692*s**3 + 18*s = 0. Calculate s.
-2/5, 1, 5
Let o be ((-552)/345)/((-8)/20). Factor 3/4*f**o + 1/4*f**5 + 0*f**3 + 0*f + 0*f**2 + 0.
f**4*(f + 3)/4
Find o such that -774/5 + 3/5*o**2 - 771/5*o = 0.
-1, 258
Let s = -1020 + 1036. Suppose 16*d - 96 = -s*d. Factor 0 + 4/5*j - j**d + 8/5*j**2.
-j*(j - 2)*(5*j + 2)/5
Solve -370/9*w - 46/9 - 20/9*w**4 - 422/9*w**3 + 286/3*w**2 = 0 for w.
-23, -1/10, 1
Let j(q) be the first derivative of 11/2*q**3 - 9/2*q**2 - 27/2*q + 3/2*q**4 + 98. Factor j(u).
3*(u - 1)*(u + 3)*(4*u + 3)/2
Let r = -1487 - -1483. Let t be (224/(-21))/(-6 + r). Suppose -t - 12/5*p**2 + 8/3*p + 14/15*p**3 - 2/15*p**4 = 0. Calculate p.
1, 2
Suppose 96 = 238*t - 250*t. Let y be 132/30 + 2 - t/2. Let -y*d - 16/5 + 48/5*d**2 = 0. What is d?
-1/4, 4/3
Let v(t) be the third derivative of 0 + 0*t - 35/36*t**4 + 8/945*t**7 - 27*t**2 + 481/540*t**5 - 7/45*t**6 + 25/54*t**3. Solve v(g) = 0 for g.
1/4, 5
Factor 0*l + 32/5*l**2 + 0 - 16/5*l**3 + 2/5*l**4.
2*l**2*(l - 4)**2/5
Let f be (3/2)/((-3)/12*-2). Let x be (1 - f) + 4 + 8. Suppose 4 - 4*z**2 - x*z**4 + 2*z**5 + 14*z**3 - 12*z**2 - 16*z + 18*z**2 + 4 = 0. What is z?
-1, 1, 2
Let t(u) be the first derivative of -100*u**5 - 1200*u**4 + 8255*u**3/3 + 6195*u**2/2 + 990*u - 976. Find y, given that t(y) = 0.
-11, -3/10, 2
Let p = 10078/3777 + -2/1259. Factor 2/9*h**2 - p + 2/9*h.
2*(h - 3)*(h + 4)/9
Suppose -63*k = -9611 - 5446. Let d = -1 + 4. Solve -39*p**2 - k*p - 163 - 3*p**3 - 29 + d*p**2 + 95*p = 0.
-4
Let p(v) = -91*v - 545. Let r be p(-6). Let x(i) be the first derivative of r - 1/15*i**3 + 0*i + 0*i**2. Factor x(y).
-y**2/5
Let h(p) be the second derivative of -p**6/210 - 43*p**5/5 - 12943*p**4/2 - 7791686*p**3/3 - 1172648743*p**2/2 + 2*p - 11. Let h(v) = 0. What is v?
-301
Let j be (2/(-6))/(2/36*(847 - 849)). Factor -20/9*q**2 + 2/3*q**j - 2/3 + 19/9*q + 2/9*q**4 - 1/9*q**5.
-(q - 2)*(q - 1)**3*(q + 3)/9
Let v = 125 - 123. Factor -7 - 28*k**2 + 13*k + 3*k**v + 7*k + 3.
-(5*k - 2)**2
Let g(b) = 2*b**2 - 9*b + 14. Let k be g(3). Let s be 123/39 - ((k - 8) + 6). Solve s*y**2 + 0 + 4/13*y - 2/13*y**3 = 0.
-1, 0, 2
Let c = -930 + 928. Let u(t) = t**3 + 2*t**2 - 13*t - 24. Let d be u(c). Factor -d*h + 1/3*h**2 + 8/3.
(h - 4)*(h - 2)/3
Let t be 158/40*8 + (-2)/(-5). Let m be ((-207)/(-36) + -5)/(3/t). Factor 0 - 1/2*i**4 + m*i - 4*i**2 - 7/2*i**3.
-i*(i - 1)*(i + 4)**2/2
Let k(x) be the third derivative of -5/6*x**4 + 0 - 1/24*x**5 + 0*x + 28*x**2 - 35/12*x**3. Factor k(m).
-5*(m + 1)*(m + 7)/2
Let j = 1278631/90 - 14207. Let t(r) be the second derivative of 4/45*r**3 + 0 - 30*r - 1/3*r**2 + j*r**4. Factor t(h).
2*(h - 1)*(h + 5)/15
Suppose -67*l - 141*l + 624 = 0. Factor -9/2 - 5/4*x**l - 37/8*x**2 - 1/8*x**4 - 15/2*x.
-(x + 2)**2*(x + 3)**2/8
Suppose -280 - 264*w + 24/5*w**3 + 106/5*w**2 - 2/5*w**4 = 0. What is w?
-7, -1, 10
Let x(i) be the second derivative of -i**6/1080 - i**5/45 - 2*i**4/9 + 31*i**3/3 - 3*i + 2. Let d(f) be the second derivative of x(f). Factor d(p).
-(p + 4)**2/3
Suppose 0 = -828*p + 838 + 2474. Suppose 8/13*m**3 + 24/13 + 2/13*m**2 - 32/13*m - 2/13*m**p = 0. What is m?
-2, 1, 2, 3
Let m be ((-4)/(-4))/(7/(-1351)). Let s = 195 + m. Determine j, given that 0 + 3/2*j**3 - 9/2*j - 3*j**s = 0.
-1, 0, 3
Let r = 542 - 399. Determine w so that 61*w**3 - 180*w**4 + 153*w - r*w + 34*w**3 + 75*w**2 = 0.
-1/4, -2/9, 0, 1
Let s(w) = -12*w + 15. Let j be s(1). Let t be (-48)/4*8/(-12). Factor 16*m**3 + 17*m**j + t*m**2 - m**4 - m**4 + m**5 - 36*m**3 - 4*m.
m*(m - 2)*(m - 1)**2*(m + 2)
Factor 1/4*s**2 - 69/2 - 17/4*s.
(s - 23)*(s + 6)/4
Let c(r) = 4*r**4 - 40*r**3 + 58*r**2 + 60*r + 6. Let n(t) = 4*t**4 - 40*t**3 + 59*t**2 + 54*t + 7. Let u(a) = 7*c(a) - 6*n(a). Let u(l) = 0. What is l?
-1, 0, 3, 8
Factor -388/3 + 97/3*h**2 - 2/3*h + 1/6*h**3.
(h - 2)*(h + 2)*(h + 194)/6
Let g = 6458/3 - 2152. Let r(v) = v + 14. Let f be r(-11). Solve 2*l**2 + 10/3*l**4 + 0 - g*l**5 - 14/3*l**f + 0*l = 0 for l.
0, 1, 3
Let r(s) be the first derivative of s**3/3 - 13*s**2/2 + 40*s + 25. Let p(l) = 14*l - 40. Let y(t) = 3*p(t) + 2*r(t). Factor y(j).
2*(j - 2)*(j + 10)
Suppose -5*w + n + 13 = 0, -10 = 4*n + 2. Factor 9 + 11 + 5287*i**w - 5282*i**2 + 20*i.
5*(i + 2)**2
Let x = -810 - -816. Factor 2 - 3*a + 4*a**2 + x - 2*a**4 + 1 + 5*a**3 - 9.
-a*(a - 3)*(a + 1)*(2*a - 1)
Let f(v) be the second derivative of -17/14*v**4 - 40/21*v**3 - 31/70*v**5 + 38*v + 0 - 1/147*v**7 - 12/7*v**2 - 3/35*v**6. Let f(g) 