t f(a) be the first derivative of m(a). Let f(w) = 0. What is w?
0, 2/3, 3
Let h be (-4)/246 - (-519284)/225582. Factor 4/7*f**2 - h*f + 12/7.
4*(f - 3)*(f - 1)/7
Let u(q) = -3*q - 75. Let j be u(-23). Let x be 4 + 31/(-4) - (j - -2). Factor 0 + x*n**4 + 3/4*n + 1/4*n**3 - 5/4*n**2.
n*(n - 1)**2*(n + 3)/4
Factor 234*w + 1534*w**2 + 1594*w**2 + w**4 - 10*w**3 - 3185*w**2.
w*(w - 13)*(w - 3)*(w + 6)
Let q(t) = -2*t + 30. Let l(h) = 2*h - 29. Let k(c) = -4*l(c) - 5*q(c). Let n be k(18). Find d, given that -5*d**n + 3 - 5*d - 4 + 11 = 0.
-2, 1
Let j(u) be the second derivative of u**4/54 + 23*u**3/27 + 20*u**2/3 + 2*u - 1311. Factor j(n).
2*(n + 3)*(n + 20)/9
Let m(c) be the first derivative of -1/12*c**4 + 0*c + 1/60*c**5 + 1/6*c**3 - 19 - 3*c**2. Let k(l) be the second derivative of m(l). Factor k(n).
(n - 1)**2
Let o = -10 - -16. Factor -6*b**4 + 9*b**4 - o*b**4 + b**4.
-2*b**4
Let u(o) be the second derivative of 5*o**7/42 + 7*o**6/2 + 37*o**5/4 - 35*o**4/4 - 95*o**3/3 + 5561*o. Let u(a) = 0. What is a?
-19, -2, -1, 0, 1
Let l be ((-2)/(-10))/(8/10). Let d(b) = 4*b**3 - 4*b**2 - 2*b + 4. Let x be d(1). Factor 3/2*c + 5/4 + l*c**x.
(c + 1)*(c + 5)/4
Let b(v) be the first derivative of -1/21*v**3 + 0*v + 68 - 5/14*v**2. Factor b(z).
-z*(z + 5)/7
Let y(z) be the third derivative of 0 - 2/15*z**5 + 0*z**6 - 1/84*z**8 + 2*z**2 + 4/105*z**7 + 1/6*z**4 - 6*z + 0*z**3. Let y(p) = 0. What is p?
-1, 0, 1
Factor -j**2 + 54966 - 210*j - 56154 - j**2.
-2*(j + 6)*(j + 99)
Suppose 1897*z = 1891*z + 24. Let a(w) be the first derivative of -2/5*w**3 + 0*w + 1/10*w**4 + 0*w**2 + z. Factor a(g).
2*g**2*(g - 3)/5
Let x(m) be the second derivative of -1/24*m**4 - 1 + 3/40*m**5 - 2*m - 1/4*m**3 - 1/60*m**6 + 1/2*m**2. Find c such that x(c) = 0.
-1, 1, 2
Let v(p) = 2*p**2 + p + 19. Let d be v(-7). Suppose 264 - 151*z + 18*z - d*z**2 + 96 + 75*z**3 - 167*z - 5*z**4 - 20*z**3 = 0. What is z?
-2, 1, 6
Let q = 564947/5 + -112977. Suppose -66/5*b - 4/5 - q*b**2 = 0. Calculate b.
-1, -2/31
Suppose 18*s + 16 = 14*s. Let w be (-46)/s - (-3 + 30/12). Solve -d**3 + 6*d**3 + 5*d**4 - 5*d + 10*d**2 - w*d**2 - 3*d**2 = 0 for d.
-1, 0, 1
Let k = -799 - -745. Let l(n) = 13*n + 727. Let c be l(k). Find p, given that 20 + 5/2*p**2 - c*p + 5/2*p**3 = 0.
-4, 1, 2
Let p = 2717 + -2717. Let q(f) be the second derivative of 1/51*f**4 + 0 + p*f**2 + 15*f + 1/170*f**5 + 1/51*f**3. Find k such that q(k) = 0.
-1, 0
Determine q, given that 2375*q**3 + 18132*q**2 - 4756*q**3 - 27397452*q + 21820795241 + 2377*q**3 - 8021611917 = 0.
1511
Let k(i) be the first derivative of -i**3/9 + 31*i**2/2 - 356*i/3 - 4940. Find z such that k(z) = 0.
4, 89
Let u(w) be the first derivative of -16 + 7/9*w**3 + 0*w - 1/6*w**2 - 1/2*w**4. Factor u(r).
-r*(r - 1)*(6*r - 1)/3
Let s be (-4)/6*(-66)/22. Let -375*i**3 + 66*i**s - 236*i**2 + 24 - 40*i**2 + 13*i - i - 42*i**5 - 219*i**4 = 0. Calculate i.
-2, -1, -1/2, 2/7
Let t(n) be the third derivative of -n**7/280 + 3*n**5/16 + 5*n**4/16 - 3*n**3 - 4*n**2 + 332. Determine z, given that t(z) = 0.
-3, -2, 1, 4
Let s be (-25)/(225/(-27)) - (-1)/(-1). Let p(z) be the second derivative of 0 + 38*z + 27/2*z**s + 3/2*z**3 + 1/16*z**4. What is v in p(v) = 0?
-6
Let t(d) = d**2 + 6*d + 17. Let o(y) be the first derivative of -y**3/3 - 5*y**2/2 - 18*y + 71. Let k(s) = 4*o(s) + 6*t(s). Determine b so that k(b) = 0.
-5, -3
Let c(u) be the second derivative of u**4/66 + 344*u**3/33 + 29584*u**2/11 + u + 482. Factor c(k).
2*(k + 172)**2/11
Let q(n) be the third derivative of n**6/360 - 23*n**5/20 - 139*n**4/24 - 209*n**3/18 + 3889*n**2. Suppose q(x) = 0. Calculate x.
-1, 209
Let s(t) be the first derivative of -t**4/8 + 14*t**3/3 - 109*t**2/4 - 69*t - 1147. Determine f, given that s(f) = 0.
-1, 6, 23
Let b = 863046 - 863044. Factor -22 + 5/2*h**b + 54*h.
(h + 22)*(5*h - 2)/2
Let m(a) be the second derivative of -18/7*a**7 + 248/15*a**5 - 28/9*a**4 + 130*a + 0 - 118/5*a**6 + 0*a**2 + 0*a**3. Factor m(i).
-4*i**2*(i + 7)*(9*i - 2)**2/3
Let g(s) be the first derivative of -7*s**6/6 + 34*s**5/15 + s**4/2 - 32*s**3/9 + 5*s**2/2 - 2*s/3 - 1961. Solve g(f) = 0.
-1, 2/7, 1/3, 1
Solve -168*o + 896 + 1868*o**2 - 2080*o**2 + 4*o**3 - 520*o = 0.
-4, 1, 56
Suppose -5*z + 3*q + 69 + 56 = 0, 4*z = 2*q + 98. Factor 10*i + 5*i**4 + 1/2*i**5 + 0 + z*i**2 + 33/2*i**3.
i*(i + 1)*(i + 2)**2*(i + 5)/2
Let w(m) be the third derivative of -m**7/6300 - m**6/225 + m**5/15 + 29*m**4/4 - 221*m**2. Let o(b) be the second derivative of w(b). Factor o(x).
-2*(x - 2)*(x + 10)/5
Determine k so that -486/7*k**2 + 2022/7*k - 1530/7 - 6/7*k**3 = 0.
-85, 1, 3
Let 0*c + 32*c**3 + 0 + 30*c**2 + 1/2*c**5 + 19/2*c**4 = 0. What is c?
-15, -2, 0
Suppose 548*j - 545*j = 9. Find z, given that -8*z**5 - 49*z**j - 76*z**4 + 124*z**2 + 211*z - 127*z - 75*z**3 = 0.
-7, -3, -1/2, 0, 1
Suppose -155*a - 97 = -407. Let d(f) be the second derivative of 1/2*f**a + 0 + 12*f + 3/80*f**5 - 7/48*f**4 + 0*f**3. Factor d(i).
(i - 2)*(i - 1)*(3*i + 2)/4
Let d be 12/15 + 76/(-95). Let j(z) be the second derivative of 1/6*z**6 + 0*z**4 + 1/2*z**5 + d*z**3 + 8*z + 0 + 0*z**2. Determine i so that j(i) = 0.
-2, 0
Suppose -3*w + 3*b - 71 - 10 = 0, 5*b - 20 = 0. Let i = -19 - w. Let 2*r**2 - 19 - 24 + 4*r**3 + r**4 + 57 - i*r - 17 = 0. What is r?
-3, -1, 1
Let i(s) be the first derivative of 0*s**2 + 8/3*s**4 + s**6 - 8/9*s**3 - 14/5*s**5 - 78 + 0*s. Determine q so that i(q) = 0.
0, 2/3, 1
Let n(s) be the third derivative of -3/5*s**5 + 43/40*s**6 - 1/2*s**4 - 9/16*s**8 + 0*s + 0 + 54/35*s**7 + 0*s**3 + 18*s**2. Let n(o) = 0. Calculate o.
-1/3, -2/7, 0, 1/3, 2
Let y = -15397 + 1170257/76. Let r = y + -7/19. Solve -1/2 - 7/4*w + r*w**3 - 1/2*w**2 = 0 for w.
-1, -1/3, 2
Determine j so that -8*j - 1801*j**3 + 3*j**4 - 69*j**2 + 887*j**3 + 35*j + 887*j**3 + 66 = 0.
-2, -1, 1, 11
Let a(z) be the third derivative of -120*z**2 - 85/48*z**4 - 1/420*z**7 + 0 + 43/120*z**5 + 7/2*z**3 + 1/240*z**6 + 0*z. Suppose a(s) = 0. What is s?
-7, 1, 6
Let k(n) = -20*n + 529. Let o be k(26). Suppose o*u = 26*u - 51. Factor 1/2*z**u + 5/4*z - 3/8 - 11/8*z**2.
(z - 1)**2*(4*z - 3)/8
Solve -22/13*v**2 + 18/13*v**4 + 0 - 20/13*v + 16/13*v**3 = 0.
-1, 0, 10/9
Let i(h) be the third derivative of h**8/5040 + h**7/630 + 23*h**5/20 - 18*h**2 - h. Let a(o) be the third derivative of i(o). Factor a(f).
4*f*(f + 2)
Suppose -4*x - 103 = -3*s - 6*x, 114 = 4*s - 2*x. Suppose 3*a**4 + 1452*a - 68 + 1320*a**2 + s + 37 - 129*a**3 = 0. Calculate a.
-1, 0, 22
Let p(k) be the second derivative of -k**4/84 + 374*k**3/21 - 69938*k**2/7 + 1422*k. Find l such that p(l) = 0.
374
Suppose f + 4*q + 2242 = 6*f, 0 = -f - 5*q + 460. Let p be f/504 - -1*(-3)/(-12). Solve -4/7*i**2 + p - 4/7*i = 0 for i.
-2, 1
Let w(y) be the first derivative of -23*y**5/270 - 7*y**4/36 + 2*y**3/27 + y**2 - 54*y - 75. Let u(b) be the second derivative of w(b). Solve u(k) = 0 for k.
-1, 2/23
Let g(x) be the third derivative of -6/5*x**3 - 9*x + 3/25*x**5 - 1/200*x**6 + 1/40*x**4 - 9*x**2 + 0. Determine h, given that g(h) = 0.
-1, 1, 12
Suppose -5*i + 0*i = 4*z + 41, 3*i = -3*z - 27. Let d be z/6*(-675)/18. Find b, given that 77*b**4 + 15*b - 32*b**4 + 5 + 120*b**3 + 110*b**2 + d*b = 0.
-1, -1/3
Let w be 109 - 2 - (-1 + -4 + 5). Let v = -745/7 + w. What is s in -v*s**3 + 0*s**2 + 12/7*s - 8/7 = 0?
-2, 1
Suppose -o - x = -8, -4*o + 1223*x = 1228*x - 38. Let t(f) be the first derivative of 0*f + 0*f**3 - 1/2*f**o - 9 + 1/4*f**4. Factor t(b).
b*(b - 1)*(b + 1)
Suppose 0 = -8603*j + 6497*j + 6318. Solve 44/3*o + 20/3*o**5 - 8/3*o**2 - 64/3*o**j - 8/3 + 16/3*o**4 = 0.
-2, -1, 1/5, 1
Factor 11079*r - 196 + 392 - 2*r**3 + 92*r**2 - 10789*r.
-2*(r - 49)*(r + 1)*(r + 2)
Let y = -636 + 393. Let d be 1*(y/(-45) + (-4)/10). Factor 31*m**2 - 12*m**2 + 10*m**4 + d*m - 5 - 4*m**2 - 25*m**3.
5*(m - 1)**3*(2*m + 1)
Let y be (1/10)/((-213)/(-355))*1. Let l(c) be the second derivative of 0 + 0*c**2 + y*c**4 + 17*c + 1/10*c**5 + 0*c**3. What is r in l(r) = 0?
-1, 0
Suppose 154587 + 3/4*k**2 + 681*k = 0. What is k?
-454
Let h be 1*5 - (8 + 83/(-1)). Determine y so that -2*y**2 + 29*y - 4*y + h - 2*y**2 + 7*y = 0.
-2, 10
Let u(c) = -6*c + 22. Let f be u(12). Let h be 52/6 - f/(-30). Suppose 3*x**2 + 20*x - 12 - 10*x**3 + h + 12*x**2 - 15