of 0*f**4 - 47*f + 1/10*f**a - 1/3*f**3 + 0*f**2 + 0. Find c such that d(c) = 0.
-1, 0, 1
Let q(g) = -11*g**2 - 15*g + 238. Let n be q(4). Let -2*p + 2/9*p**4 - 2/9*p**2 + 0 + n*p**3 = 0. Calculate p.
-9, -1, 0, 1
Let w(c) be the second derivative of 3*c**6/10 - 3*c**5/10 - 9*c**4 - 12*c**3 + 48*c**2 + 2232*c. Factor w(f).
3*(f - 4)*(f + 2)**2*(3*f - 2)
Suppose 20 = r + 4*c, -r + 24 = 25*c - 20*c. Let s(t) be the first derivative of 1/4*t**3 - 1/20*t**5 + 0*t - 1/8*t**r - 11 + 0*t**2. Solve s(z) = 0.
-3, 0, 1
Let z(h) be the third derivative of -h**7/2205 + 3*h**6/140 - 4*h**5/15 - 7*h**4/9 - 2*h**2 - 173. Factor z(d).
-2*d*(d - 14)**2*(d + 1)/21
Let m(l) be the third derivative of -l**6/300 - 3*l**5/50 + 4*l**4/5 + 448*l**3/15 + 2*l**2 + 24*l. Factor m(j).
-2*(j - 7)*(j + 8)**2/5
Factor 2/9*k**4 + 14/9*k**3 - 64/9*k + 4/3*k**2 - 64/9.
2*(k - 2)*(k + 1)*(k + 4)**2/9
Let f = 183 + -168. Determine o, given that -20*o + f*o**2 - 12*o**4 + 2*o**4 - 20 + 10*o**3 + 5*o**4 = 0.
-1, 2
Let a = 210167/15 - 14011. Let q(i) be the first derivative of -24 + a*i**3 + 12/5*i - i**2. Determine w, given that q(w) = 0.
2, 3
Let d(w) be the third derivative of 3*w**6/20 + 19*w**5/4 - 2*w**4 + 70*w**2 + 7. Factor d(h).
3*h*(h + 16)*(6*h - 1)
Let z be (19/21 - 16/24)*108744/3940. Factor 0 + 47/7*b**2 + 1/7*b**3 + z*b.
b*(b + 1)*(b + 46)/7
Let w(l) be the first derivative of -4*l**3/3 - 28*l**2 + 480*l + 1068. Suppose w(j) = 0. What is j?
-20, 6
Let m = -200033/6 + 33339. Let v(w) be the second derivative of -2/3*w**3 + w**2 + m*w**4 + 45*w + 0. Solve v(y) = 0 for y.
1
Factor 0*l + 0 + 526/3*l**3 - 1/3*l**4 + 352*l**2.
-l**2*(l - 528)*(l + 2)/3
Let h = -1335 - -1888. Let y = 555 - h. Factor 0 - 1/2*l + 1/4*l**3 + 1/4*l**y.
l*(l - 1)*(l + 2)/4
Let t(c) be the third derivative of 1/15*c**5 + 1/105*c**7 - c**3 + 0 + 65*c**2 - 1/3*c**4 + 0*c + 1/15*c**6. What is d in t(d) = 0?
-3, -1, 1
Let c(u) be the first derivative of u**6/7 - 34*u**5/35 - 40*u**4/7 + 120*u**3/7 + 16*u**2 - 256*u/7 - 3562. Solve c(m) = 0 for m.
-4, -1, 2/3, 2, 8
Let c = 400169 - 2801161/7. Factor 2/7*j**3 + c*j + 12/7 + 12/7*j**2.
2*(j + 1)*(j + 2)*(j + 3)/7
Let y = 4222829/4 - 1055707. Factor 3/2*u**2 - y*u**3 - 5/4*u + 0.
-u*(u - 5)*(u - 1)/4
Let n(d) be the first derivative of d**4/28 - 3*d**3/7 + 12*d**2/7 - 16*d/7 + 1553. Factor n(b).
(b - 4)**2*(b - 1)/7
Let d(t) be the second derivative of -2*t**6/15 - 18*t**5/5 - 32*t**4 - 220*t**3/3 + 450*t**2 - 6*t + 133. Factor d(v).
-4*(v - 1)*(v + 5)**2*(v + 9)
Let l(u) be the first derivative of -u**5/480 + u**4/64 + u**3/12 - 18*u**2 - 64. Let o(x) be the second derivative of l(x). Factor o(s).
-(s - 4)*(s + 1)/8
Suppose 5426*p + 7360369/2*p**2 + 2 = 0. Calculate p.
-2/2713
Let r(l) be the second derivative of l**5/120 - l**4/12 - 5*l**3/12 - 32*l**2 + 24*l. Let m(a) be the first derivative of r(a). Determine q so that m(q) = 0.
-1, 5
Let x be (84/8)/7*24/9. Suppose 3*f + 4*u - 144 = 0, 4*u - 92 = -x*f + 100. Factor -2*n**4 + 0*n**2 - 180*n**3 - 18 - f*n + 192*n**3 - 2*n**2 - 14.
-2*(n - 4)**2*(n + 1)**2
Let o(j) be the third derivative of j**5/180 - 17*j**4/18 + 67*j**3/18 + 836*j**2 + 2. Factor o(h).
(h - 67)*(h - 1)/3
Determine d, given that 9216 + 2169*d**2 - 14016*d + 711/4*d**3 + 3*d**4 = 0.
-32, 3/4, 4
Let t(r) be the second derivative of 221*r + 2/7*r**7 + 0 + 0*r**4 + 0*r**2 + 0*r**3 - 6/5*r**5 + 14/15*r**6. Determine h, given that t(h) = 0.
-3, 0, 2/3
Let q = 128 - 124. Find r, given that 64*r**5 - 23*r**4 - 6*r**q - 65*r**2 + 10*r + 16*r**5 + 45*r**3 + 229*r**4 = 0.
-2, -1, 0, 1/4
Factor -89*t - 747 - 292*t - 522 + 2*t**2 + 3*t**2 + 163.
(t - 79)*(5*t + 14)
Let v(z) be the first derivative of -z**3/7 + 669*z**2/7 - 149187*z/7 + 772. Solve v(d) = 0 for d.
223
Let g(i) be the first derivative of -30*i**2 + 5/3*i**3 - 65*i - 85. Factor g(y).
5*(y - 13)*(y + 1)
Let j(g) = -5*g**2 - 1135*g + 1125. Let d(r) = -5*r**2 - 1133*r + 1126. Let a(u) = -5*d(u) + 4*j(u). Let a(v) = 0. Calculate v.
-226, 1
Let i be 8/(-5)*((-4598)/76 - -27 - -33). Let 2/5*x**3 + 2/5*x**5 + 0 + 6/5*x**2 - i*x - 6/5*x**4 = 0. What is x?
-1, 0, 1, 2
Suppose 17664 = 46*g - 34*g. Factor g*i - 3*i**3 - 32 + 8 - 30*i**2 - 1523*i.
-3*(i + 1)**2*(i + 8)
Let o = -2 + -5. Let q(t) = -2*t - 12. Let s be q(o). Factor -3*p**3 + 8*p**3 - 7*p**4 - 5*p**s + 12*p**4 - 5*p.
5*p*(p - 1)*(p + 1)**2
Let m(h) be the first derivative of -h**4/3 + 10*h**3/3 + 12*h**2 - 156*h - 202. Let y(f) be the first derivative of m(f). Factor y(o).
-4*(o - 6)*(o + 1)
Factor 1548/7*q + 299538/7 + 2/7*q**2.
2*(q + 387)**2/7
Let z(c) = -c**2 + 16*c - 23. Let n be z(13). Suppose 2*b - 39*d = -35*d + n, 0 = 4*b - 3*d - 17. Factor 32 + 8*r + 1/2*r**b.
(r + 8)**2/2
Factor -1071/2 + 1077/4*p - 3/4*p**2.
-3*(p - 357)*(p - 2)/4
Let u(c) = -20*c + 60. Let r be u(9). Let p be (-3 + 2)/(260/r). Let -16/13*t**4 - 8/13*t + 2/13 + 28/13*t**3 - p*t**2 = 0. Calculate t.
-1/2, 1/4, 1
Let d(z) be the second derivative of -z**7/147 - 11*z**6/21 - 95*z**5/14 + 2505*z**4/14 - 8640*z**3/7 + 27648*z**2/7 - 46*z - 4. Solve d(f) = 0.
-32, 3
Let t(c) be the first derivative of c**5/30 + c**4/4 - 4*c**3/9 - c**2/2 + 7*c/6 - 947. What is k in t(k) = 0?
-7, -1, 1
Let l be (-224)/(-1326) + 2644/(-51558). Solve -24/17*q - l*q**3 - 16/17*q**2 + 0 = 0.
-6, -2, 0
Let x(i) be the first derivative of 0*i**2 - 1/5*i**5 - 2/3*i**3 + 34 - 1/45*i**6 - 11/18*i**4 - 11*i. Let y(u) be the first derivative of x(u). Factor y(m).
-2*m*(m + 1)*(m + 2)*(m + 3)/3
Let p(j) be the third derivative of -2*j**5/5 + 467*j**4/6 + 52*j**3 - 3683*j**2. Factor p(d).
-4*(d - 78)*(6*d + 1)
Factor 102/5*o - 1/5*o**2 - 40.
-(o - 100)*(o - 2)/5
Factor -78700*b**2 - 24*b**3 + 36 + 157387*b**2 + 24*b - 78719*b**2 - 4*b**4.
-4*(b - 1)*(b + 1)*(b + 3)**2
Let j(w) be the second derivative of w**5/10 + 8*w**4/3 - w**3/3 - 16*w**2 + 6*w + 36. Factor j(f).
2*(f - 1)*(f + 1)*(f + 16)
Let j(q) be the third derivative of q**6/320 - 43*q**5/40 + 1849*q**4/16 + 5*q**2 + 95. Factor j(a).
3*a*(a - 86)**2/8
Let u = 90 + -58. Determine j, given that u*j + j**2 + 6930 - 6930 = 0.
-32, 0
Let j(c) = c**2 + 7220*c + 2124150. Let l(p) = -2*p**2 - 10822*p - 3186225. Let m(d) = -7*j(d) - 5*l(d). Factor m(n).
3*(n + 595)**2
Let m(d) be the second derivative of -3*d**5/80 + 979*d**4/24 + 653*d**3/24 - d - 253. Let m(l) = 0. What is l?
-1/3, 0, 653
Suppose 23 + 32 = 2*a - s, 5*s - 25 = 0. Let u be (-4)/(a/40 - 4). Solve -2/13*m**4 - u*m - 24/13*m**2 + 0 - 12/13*m**3 = 0 for m.
-2, 0
Let g = -107 - -325/3. Suppose -4*n = 2*n - 30. Solve -4*s**4 + 8/3*s**2 + 8/3*s**3 + g - 4*s + 4/3*s**n = 0.
-1, 1
Let c be 1/(-6)*108/(-648)*96. Factor c*q - 8/3 - 2/3*q**2.
-2*(q - 2)**2/3
Let t(j) be the third derivative of 0*j**3 + 4/5*j**5 + 10/3*j**4 - 3/10*j**6 + 0*j + 19*j**2 + 0 - 2/105*j**7. Factor t(i).
-4*i*(i - 2)*(i + 1)*(i + 10)
Let r = -32186 + 257499/8. Determine y, given that 7/8*y**2 - 3/8 + 11/8*y**3 - 1/2*y**4 - r*y = 0.
-1, -1/4, 1, 3
Let o = 1176 + -516. Find t, given that -154*t**2 - 240*t**2 - 1323 - 35*t**3 - 32*t**2 + 600*t + o*t - 3*t**4 + 95*t**3 = 0.
3, 7
Suppose -a = 4*a - 10. Let g be (253/1610 - 4/(-28))*(-200)/(-24). Factor 0*t - 5/2*t**4 + 0 + 0*t**a - g*t**5 + 0*t**3.
-5*t**4*(t + 1)/2
Suppose 2*i - 20 = 7*i, -5*i = -4*n - 4. Let u be -2*(n/20)/((-15)/(-5)). Find x such that -u*x**2 + 2*x - 5 = 0.
5
Find m such that 6*m**5 + 21782*m**3 - 5*m**4 - 4*m**4 - 67*m - 21821*m**3 + 99*m**2 + 18 - 8*m = 0.
-3, 1/2, 1, 2
Let n = 5313/13 - 46407/52. Let a = n + 484. Suppose -a*k**2 - 1/4 - 1/2*k = 0. What is k?
-1
Let f = 476432/71463 + -4/23821. Find m, given that f*m**2 - 12 - 4/3*m**3 - 4*m = 0.
-1, 3
Let i(f) = f**2 - 162*f - 7596. Let w be i(200). Factor 0 - 3*l - 2*l**2 + 1/4*l**w + 1/4*l**3.
l*(l - 3)*(l + 2)**2/4
Let 25 - 5/3*y**2 + 10/3*y = 0. What is y?
-3, 5
Let c(i) be the third derivative of i**6/72 + 83*i**5/12 - 10496*i**2. Factor c(g).
5*g**2*(g + 249)/3
Let n(j) be the third derivative of j - 1/1512*j**8 - 2/135*j**5 + 1/180*j**6 - 1/27*j**4 + 0 + 2/945*j**7 + 0*j**3 - 7*j**2. Find p such that n(p) = 0.
-1, 0, 2
Let t be (-2)/(-1)*(96/(-320))/(105/(-75)). Suppose -2/7*j - t + 1/7*j**2 = 0. Calculate j.
-1, 3
Let y(a) be the first derivative of 1/24*a**4 + 9*a - 13/4*a**2 + 