**4 + t + 7924/13*d**2 = 0.
1, 14
Let t(l) be the third derivative of l**6/75 - l**5/60 - l**4/40 + 6*l**2 - 33*l. Suppose t(q) = 0. Calculate q.
-3/8, 0, 1
Suppose 0 = 133*d - 128*d + 175. Let c be -2 + (-12)/(168/d). Let 1/4*x**2 - c + 1/4*x = 0. What is x?
-2, 1
Let q(t) be the third derivative of t**5/30 + 41*t**4/6 + 104*t**3 - t**2 - 2*t - 441. Factor q(p).
2*(p + 4)*(p + 78)
Let r(q) = -q**2 + 17*q + 82. Let b(m) = -7*m**2 + 98*m + 491. Let x(w) = -2*b(w) + 13*r(w). Factor x(v).
(v + 4)*(v + 21)
Suppose 2512/13*t + 50/13*t**5 + 710/13*t**4 - 4190/13*t**2 - 440/13 + 1358/13*t**3 = 0. Calculate t.
-11, -5, 2/5, 1
Let k be 4/4 + (2 + -12 - -10). Suppose 4*q - 6 = 2*t, -2*t + 3*q - 6 + 3 = 0. Find s such that 6*s + 4*s**2 + 4*s**t - 3*s**3 + k + 1 - s = 0.
-2, -1
Let u be (-7 - -58)/((-15)/(-3)). Let z = -87/10 + u. Factor -7/2*i + z*i**2 + 2.
(i - 1)*(3*i - 4)/2
Let x(g) be the second derivative of -g**6/150 - 6*g**5/25 + 89*g**4/12 + 78*g**3/5 - 6*g + 87. Factor x(a).
-a*(a - 13)*(a + 1)*(a + 36)/5
Let w(o) be the third derivative of 0 + o**2 + 0*o**4 + 0*o**5 + 1/14*o**7 + 0*o**3 - 3/16*o**6 + o - 5/672*o**8. Let w(s) = 0. Calculate s.
0, 3
Factor -298*r + 814*r**2 - 74*r + 0 + 0 - 810*r**2.
4*r*(r - 93)
Let h be 822/(-17673) + 4/86. Factor 0 + 0*n**2 - 2/9*n**4 + h*n - 28/9*n**3.
-2*n**3*(n + 14)/9
Let q(h) be the second derivative of 63*h**7/2 + 1169*h**6/10 + 60*h**5 - 90*h**4 - 8*h**3 + 24*h**2 - 731*h - 2. Suppose q(k) = 0. What is k?
-2, -1, -2/9, 2/7
Let o(t) be the third derivative of -t**5/12 + 25*t**4/3 - 190*t**3/3 + 1223*t**2. Factor o(q).
-5*(q - 38)*(q - 2)
Let d(m) be the first derivative of m**3/18 - 29*m**2/3 + 113*m/2 + 7385. Factor d(x).
(x - 113)*(x - 3)/6
Let p be 25/125*-10 + 3*2. Let d(b) be the second derivative of -4/5*b**2 + 0 + 4*b + 2/15*b**3 + 2/15*b**p - 1/25*b**5. Suppose d(z) = 0. Calculate z.
-1, 1, 2
Let c be (-2*2/7)/(3810/(-1778)). Let z(j) be the first derivative of 7 + 0*j + 0*j**2 - 2/5*j**4 + c*j**3 + 1/5*j**5 - 1/30*j**6. Factor z(a).
-a**2*(a - 2)**2*(a - 1)/5
Let g be -43 + ((-55920)/(-680) - 35). Solve 22/17*t**3 - g + 2/17*t**5 + 14/17*t**4 - 120/17*t - 38/17*t**2 = 0 for t.
-3, -2, -1, 2
Factor 3/2*n**2 + 33/2*n + 36.
3*(n + 3)*(n + 8)/2
Factor -55112 - 2/9*z**2 + 664/3*z.
-2*(z - 498)**2/9
Let i(r) = r**2 - 9*r + 104. Let c be i(6). Factor 44*p**3 + 4*p**5 + c*p**2 - 6*p**4 - 23*p**4 + p**4 - 106*p**2.
4*p**2*(p - 5)*(p - 1)**2
Let j be (-324)/(-35 + 53) + (-432)/(-19). Solve 8/19*g**3 + 54/19 + j*g + 48/19*g**2 = 0 for g.
-3, -3/2
Let h = 89778 + -628442/7. Find n such that 80/7*n + 4/7*n**2 + 48/7 + h*n**5 - 36/7*n**3 - 4/7*n**4 = 0.
-2, -1, 2, 3
Let o(x) be the first derivative of 7*x**2 - 3/2*x**4 - 250 + 2*x**3 - 12*x - 2/5*x**5. Factor o(m).
-2*(m - 1)**2*(m + 2)*(m + 3)
Let f be (-4)/58 + 322/4669. Let s(k) be the second derivative of 5*k**2 + f - 24*k - 5/12*k**4 - 5/6*k**3. Factor s(v).
-5*(v - 1)*(v + 2)
Let c(j) be the second derivative of 143*j + 17/12*j**4 - 2/5*j**5 + 1/30*j**6 + 0*j**2 - 5/3*j**3 + 1. Factor c(s).
s*(s - 5)*(s - 2)*(s - 1)
Let x(l) be the second derivative of 7/9*l**2 - 2*l - 2 + 8/27*l**3 + 1/54*l**4. Let x(o) = 0. What is o?
-7, -1
Suppose 27*n + 198 = 1953. Find l such that -330*l**2 + 723*l**4 - 150 - 395*l + n*l**2 - 708*l**4 - 5*l**3 = 0.
-3, -1, -2/3, 5
Let c(w) be the second derivative of -21*w**2 - 1/24*w**4 - 1/240*w**5 - w + 0*w**3 + 2. Let l(q) be the first derivative of c(q). Factor l(p).
-p*(p + 4)/4
Determine a so that 2*a**2 - 1 - 3804773*a + 3804777*a + 3 = 0.
-1
Let z = 23106 + -115523/5. Factor 0 + 0*p - z*p**3 - 2/5*p**2.
-p**2*(7*p + 2)/5
Let t = 242 - 55. Find z, given that t*z**2 + 25 - 37 + 123*z + 7*z**4 + 93*z**3 + 15 + 19 = 0.
-11, -1, -2/7
Let f(k) be the second derivative of -k**7/231 + 5*k**6/33 - 123*k**5/110 + 167*k**4/66 + 8*k**3/3 - 228*k**2/11 - k - 2625. Suppose f(y) = 0. What is y?
-1, 2, 3, 19
Let l be ((-2905)/(-70) + -42)*-197. Suppose -4*o + l*o**3 - 6 + 173/2*o**2 + 14*o**4 = 0. Calculate o.
-6, -1, -2/7, 1/4
Let v be (-594)/(-528)*96/18. Let r(o) be the third derivative of 1/420*o**7 - 1/40*o**5 - 7*o**2 + 0*o**3 + 0*o + 0 - 1/60*o**v + 3/8*o**4. Factor r(z).
z*(z - 3)**2*(z + 2)/2
Let l(t) = 119*t - 234. Let c be l(2). Let g be (-1)/c*(-92 - -84). Solve -2/9*v**3 + 0 - 4/9*v - 2/3*v**g = 0.
-2, -1, 0
Let r(c) be the third derivative of 1/280*c**7 + 1/8*c**4 - 1/40*c**6 - 1/2*c**3 + 3/80*c**5 + 0 - 16*c**2 - 2*c. Suppose r(i) = 0. What is i?
-1, 1, 2
What is o in 1/3*o**3 - 2020/3 - 509/3*o**2 + 2024/3*o = 0?
2, 505
Let v be 2/(-8)*(0 - 3/3). Let h(k) = -7*k - 33. Let i be h(-5). Factor 0*g + 1/4*g**i - v*g**3 + 0.
-g**2*(g - 1)/4
Let z(r) be the first derivative of 13*r + 1/15*r**6 + 0*r**3 - 2 + 1/10*r**5 + 0*r**4 + 0*r**2. Let u(b) be the first derivative of z(b). Factor u(y).
2*y**3*(y + 1)
Let y be (3 + (-88)/32)/((-3)/(-48)). Factor y*g**4 + 2*g**5 + 395*g**3 - 4*g**2 - 395*g**3 - 2*g.
2*g*(g - 1)*(g + 1)**3
Factor 2543600*n**2 + 167 + 4756*n + 4*n**3 - 2543 - 2545984*n**2.
4*(n - 594)*(n - 1)**2
Let w(p) be the first derivative of -178802*p**4/21 + 2392*p**3/21 - 3*p**2/7 - 1760. Factor w(f).
-2*f*(598*f - 3)**2/21
Let t(s) be the third derivative of s**6/240 - 11*s**5/120 + 19*s**4/24 - 10*s**3/3 - 612*s**2. Factor t(w).
(w - 5)*(w - 4)*(w - 2)/2
Let m = -2190/149 - -11248/745. Let m*w**2 + 2/5*w - 4/5 = 0. What is w?
-2, 1
Let u be ((-1348)/4044)/((-6)/224). What is m in 2/9*m**2 + 1568/9 + u*m = 0?
-28
Suppose -735/2*v**2 - 183/4*v**3 - 744*v - 24 = 0. Calculate v.
-4, -2/61
Suppose -2*n + 17 = 2*h - 5, -50 = -5*n - 4*h. Determine u so that -365*u**3 + 47*u**2 - n*u - 45*u**5 + 22*u**2 + 235*u**4 + 136*u**2 - 24*u = 0.
0, 2/9, 1, 3
Let b = 2671 - 2667. Let t(r) be the second derivative of -1/9*r**b + 10*r + 0 + 1/6*r**3 + 0*r**2 + 1/60*r**5. Let t(u) = 0. What is u?
0, 1, 3
Suppose 1/4*q**4 - 83*q + 125*q**2 - 169/4*q**3 + 0 = 0. Calculate q.
0, 1, 2, 166
Suppose -20*z + 42 + 38 = 0. Solve 88 - 88 - 16*g + 2*g**2 - z*g**2 = 0 for g.
-8, 0
Let m = -566 + 566. Let i(l) be the first derivative of -1/4*l**2 + 1/4*l + m*l**3 - 1/20*l**5 - 1 + 1/8*l**4. Factor i(h).
-(h - 1)**3*(h + 1)/4
Let b = 306045 + -1530217/5. Let r be 2 - -3*16/(-30). Factor b*c - 2/5*c**3 + 8/5 - r*c**2.
-2*(c - 2)*(c + 1)*(c + 2)/5
Let l(j) be the second derivative of 0*j**2 - 1/24*j**6 - 9/80*j**5 - 102*j - 1 - 7/48*j**4 - 1/12*j**3 - 1/168*j**7. Solve l(n) = 0 for n.
-2, -1, 0
Let i = -3 - -11. Let w(d) be the first derivative of d**4/4 + d**2/2 + 475. Let f(q) = -4*q**4 + 4*q**2 + 16*q. Let s(a) = i*w(a) - f(a). Factor s(n).
4*n*(n - 1)*(n + 1)*(n + 2)
Let v(c) be the first derivative of c**5/420 - 5*c**4/14 + 150*c**3/7 + c**2/2 - 6*c - 110. Let r(x) be the second derivative of v(x). What is s in r(s) = 0?
30
Suppose 12838 = 53*p - 1578. Suppose 0 = 10*u - p + 242. Factor 0 + 0*k - 2/3*k**u + 16/3*k**2.
-2*k**2*(k - 8)/3
Let s = -793 - -789. Let q(l) = -16*l - 61. Let k be q(s). Determine j, given that -5/2*j**k + 9*j**2 + 26/5*j + 4/5 - 25/2*j**4 = 0.
-2/5, 1
Let x(a) be the first derivative of -a**6/144 + 3*a**5/10 - 7*a**4/12 - a**3 + 6*a - 59. Let t(h) be the third derivative of x(h). Solve t(l) = 0 for l.
2/5, 14
Let g(s) be the third derivative of s**5/30 - 103*s**4/12 + 202*s**3/3 - 1696*s**2. Factor g(d).
2*(d - 101)*(d - 2)
Let j(u) be the second derivative of -13*u**4/7 + 62*u**3/21 + 16*u**2/7 + 443*u - 2. Factor j(k).
-4*(k - 1)*(39*k + 8)/7
Let t(m) = 98*m**3 - 1339*m**2 - 1385*m - 263. Let j(r) = 32*r**3 - 446*r**2 - 461*r - 88. Let q(v) = -55*j(v) + 18*t(v). Factor q(a).
(a + 106)*(2*a + 1)**2
Let a(l) be the first derivative of -15/2*l**2 - 5/3*l**3 - 61 + l**5 + 0*l + 15/4*l**4. Determine g, given that a(g) = 0.
-3, -1, 0, 1
Let -39*g + 103*g - 143 - g**2 - 94 - 75 - 36 = 0. What is g?
6, 58
Let z(m) = -3*m**2 - 10*m + 2. Let d(o) = 38*o + 42*o - 125*o + 46*o - o**2 + 1. Let j(s) = 2*d(s) - z(s). Factor j(w).
w*(w + 12)
Let l = 116 + -113. Let y be (-25)/5 + 221/39. What is f in -10*f**2 + 32/3 - y*f**4 + 16/3*f**l - 16/3*f = 0?
-1, 1, 4
Suppose -1875*x = -1676*x - 398. Factor z - 9/2 + 1/6*z**x.
(z - 3)*(z + 9)/6
Let g(j) be the first derivative of -3/7*j**3 + 1/28*j**4 - 4 - 20/7*j + 12/7*j**2. Suppose g(n) = 0