 -f*j - m = 0, -2*j + 3*m + 16 = -0*j. Find p, given that 5*p**j + 762*p - 762*p = 0.
0
Let f(q) be the second derivative of -q**6/6 - 93*q**5/2 + 235*q**4/3 + 155*q**3 - 935*q**2/2 - q - 822. Determine o, given that f(o) = 0.
-187, -1, 1
Suppose 3*s - 30 = -9. Let r = s + -5. Let -4*i**4 + 24*i**5 + 3*i**3 - 32*i - 28*i**5 + 4*i**r + 17*i**3 + 16 = 0. What is i?
-2, 1
Let s(g) be the second derivative of 29*g**6/2 - 44*g**5 + 455*g**4/12 - 5*g**3/3 - 267*g. Let s(b) = 0. What is b?
0, 2/87, 1
Let y = 1/20066 - -1183467/8568182. Let g = 9/61 + y. Factor 2/7*v**4 + 0*v**2 - g + 4/7*v**3 - 4/7*v.
2*(v - 1)*(v + 1)**3/7
Suppose 720*x - 3530 = -1370. Factor 10/3*c**x + 5/3 - 5*c**4 - 5*c + 10/3*c**2 + 5/3*c**5.
5*(c - 1)**4*(c + 1)/3
Determine i so that 11830 - 9*i**3 - 11830 + 5*i**2 - 2*i**4 = 0.
-5, 0, 1/2
Let -103*n**2 + 217*n**2 + 31*n**4 - 17*n**4 - 12*n**4 + 44*n**3 = 0. Calculate n.
-19, -3, 0
Let f(b) be the first derivative of -7*b**6/11 + 2*b**5/5 + 73*b**4/22 + 6*b**3/11 - 52*b**2/11 - 40*b/11 + 897. Determine n so that f(n) = 0.
-1, -10/21, 1, 2
Let z = -75 + 152. Let c = z - 378/5. Let 11/5*g**2 + 0 + 9/5*g**5 - 2/5*g - c*g**3 - 11/5*g**4 = 0. Calculate g.
-1, 0, 2/9, 1
Factor 600*r**2 - 1902785 + r**3 - 2041141 + 4452456 + 63570*r + 56430*r + 7491470.
(r + 200)**3
Let l(p) = -p**2 - 2*p - 3. Let g(j) = -9*j**2 - 14388*j - 10339232. Let n(u) = g(u) - 4*l(u). Determine h so that n(h) = 0.
-1438
Let s(n) be the third derivative of -n**5/30 - 11*n**4/6 + 25*n**3 + 38*n**2 + 5*n. Suppose s(z) = 0. Calculate z.
-25, 3
Let z be 5/((-5)/(-125)*(-15)/6). Let d be (20/z)/((-13)/5). Suppose 0*b + 0*b**3 - 2/13*b**4 + d*b**2 + 0 = 0. What is b?
-1, 0, 1
Let j be 1331/3 + 16/(-24). Let x = -441 + j. Solve -72/5*l**2 + 20*l**3 - 54/5*l**4 + 0 + x*l**5 + 16/5*l = 0 for l.
0, 2/5, 1, 2
Let m = 11446201/900 - 12718. Let n(u) be the third derivative of 2/45*u**3 + 0 + 1/60*u**4 + 0*u + 16*u**2 + 0*u**5 - m*u**6. Factor n(x).
-2*(x - 2)*(x + 1)**2/15
Let l(h) = 549*h + 30. Let k be l(1). Let x = k - 2311/4. Determine f, given that -5/2*f - 5/4*f**2 - x = 0.
-1
Let b be (1/2)/(1/(4 + 0)). Let l be 162/(-135)*(-3 + b/4). Determine h so that -1/8*h**l + 3/8*h + 0*h**2 + 1/4 = 0.
-1, 2
Let i(z) = 8 + 14*z + 2*z**4 - 2*z**4 + 19*z**2 - 4*z**3 - z**4. Let j = 4116 + -4113. Let p(t) = t**3 - t**2 - t - 1. Let s(d) = j*i(d) + 24*p(d). Factor s(m).
-3*m*(m - 6)*(m + 1)**2
Let m be 3/(-7) - (-3069)/693. Let p(x) be the first derivative of -5/3*x**2 - 1/6*x**m + 2 + 4/3*x + 8/9*x**3. Solve p(n) = 0 for n.
1, 2
Let w(u) be the second derivative of -3/4*u**5 - 13/4*u**4 - 169 + 0*u**2 - 7/2*u**3 + 1/10*u**6 - 2*u. Factor w(z).
3*z*(z - 7)*(z + 1)**2
Suppose -7*g + 5*g = -24. Suppose 0 = 7*m + g - 54. Let 80*y**2 + 78*y**2 + 3*y**4 - 6*y**3 - 161*y**2 + m*y = 0. Calculate y.
-1, 0, 1, 2
Suppose -5*c = 4*q - 2*c - 17, 0 = -2*q - c + 7. Let p(i) be the first derivative of -3*i**3 + 3/5*i**5 - 2 + 3/2*i**q + 6*i - 3/4*i**4. Factor p(s).
3*(s - 2)*(s - 1)*(s + 1)**2
Let o(m) be the first derivative of -m**6/1260 - m**5/420 - 91*m**3/3 + 25. Let f(w) be the third derivative of o(w). Solve f(k) = 0.
-1, 0
Let s(l) be the second derivative of l**7/168 + l**6/72 - 13*l**3/6 - 5*l. Let b(a) be the second derivative of s(a). Factor b(u).
5*u**2*(u + 1)
Let v(w) be the second derivative of w**7/70 + 5*w**6/18 - 3*w**5/5 - 55*w**3/6 - 17*w. Let r(a) be the second derivative of v(a). What is l in r(l) = 0?
-9, 0, 2/3
Let v(c) be the second derivative of -3*c**6/2 + 187*c**5/4 + 605*c**4/2 - 1780*c**3/3 - 480*c**2 + 1899*c. Determine n so that v(n) = 0.
-4, -2/9, 1, 24
Let d(w) = w - 2. Let v be d(5). Let p be (-705 + 705)*1/3. Factor p - 32/5*s**v - s**4 + 14/5*s + 23/5*s**2.
-s*(s - 1)*(s + 7)*(5*s + 2)/5
Suppose 3*s + 3*s**2 - 22*s + 164*s - 5*s**2 + 27*s = 0. What is s?
0, 86
Suppose 5*s - 21 = -2*j, 0 = -4*s - 2*j + 1 + 15. Suppose 0 = -s*f + 3*v + 25, -f + 6*v + 12 = 4*v. What is g in 111 + 2*g + 2*g**f + 17 - 30*g - 4*g = 0?
8
Let z = 102 + -99. Let -9*j**4 + 150*j**2 - 19*j**z - 9*j**3 - 112 + j**4 - 128*j + 30*j**2 = 0. Calculate j.
-7, -1/2, 2
Let y = 48301/30 + -1610. Let w(m) be the third derivative of 4*m**3 + 0*m**5 + 0 + y*m**6 + 0*m - 7/6*m**4 + 32*m**2. Factor w(q).
4*(q - 2)*(q - 1)*(q + 3)
Suppose -1423*t = -1427*t - 5*k + 47, -2*t + 5*k = 29. Let y(p) be the third derivative of 0*p - 1/3*p**t - 1/90*p**5 - 40*p**2 - 1/9*p**4 + 0. Factor y(q).
-2*(q + 1)*(q + 3)/3
Suppose 11*b = 14 - 25. Let u be 3/(b - 19/(-4)). Factor 4/5*s**2 - u*s**4 + 0 + 8/5*s - 8/5*s**3.
-4*s*(s - 1)*(s + 1)*(s + 2)/5
Let d(n) be the third derivative of -n**5/60 - 53*n**4/4 - 317*n**3/6 - 7*n**2 + 58*n + 1. What is j in d(j) = 0?
-317, -1
Let h(k) = -16*k**2 - 28*k - 20. Let p = 45 - 33. Let l(n) = -n - 3*n**3 + 2*n**3 + n**2 + 13 - p. Let v(w) = h(w) + 2*l(w). Determine x so that v(x) = 0.
-3, -1
Let v(k) be the third derivative of -3*k**5/2 - 505*k**4/24 - 125*k**3 - 107*k**2. Let r(u) = 11*u**2 + 63*u + 94. Let l(i) = 25*r(i) + 3*v(i). Factor l(s).
5*(s + 2)*(s + 10)
Let i be (2/54)/((-3)/(-2)*(-240)/(-270)). Let l(x) be the first derivative of -1/48*x**4 + i*x**3 - 1/12*x + 41 + 1/24*x**2. Determine u, given that l(u) = 0.
-1, 1
Let i(f) be the second derivative of 3*f**5 + 0*f**2 - 10*f + 5/2*f**3 + 0 - 25/6*f**4 - f**6 + 5/42*f**7. Factor i(h).
5*h*(h - 3)*(h - 1)**3
Let x = 600 + -594. Let c(n) = 15*n**2 + 27*n + 6. Let y(s) be the second derivative of -s**4/12 + s. Let h(f) = x*y(f) - c(f). Factor h(o).
-3*(o + 1)*(7*o + 2)
Suppose 2*u + t - 215 = 0, -2*u = -0*t - 5*t - 233. Let p = u + -91. Determine m, given that 3*m**2 + 10 + 14 - 24 + p*m = 0.
-6, 0
Let x(n) be the first derivative of -2*n**3/3 + 17*n**2/4 - 2*n - 2521. Factor x(b).
-(b - 4)*(4*b - 1)/2
Let o(q) be the second derivative of q**7/21 - 61*q**6/3 + 6119*q**5/2 - 966655*q**4/6 - 4243600*q**3/3 - 4370908*q**2 - 4*q + 40. Factor o(x).
2*(x - 103)**3*(x + 2)**2
Let r = -379671/2 + 189836. Factor 0*o**2 - r*o**5 + 0*o + 3/2*o**4 + 0 - o**3.
-o**3*(o - 2)*(o - 1)/2
Suppose 2*t = -24*i + 25*i - 259, 2*i + 4*t = 550. Suppose i*w + 90 = 297*w. Let 0*r - 1/7*r**4 + 0*r**w + 1/7*r**2 + 0 = 0. Calculate r.
-1, 0, 1
Solve 654 + 258 - 28*r**3 + 27*r**3 - 2000*r + 133*r**3 - 4964*r**2 = 0 for r.
-2/3, 3/11, 38
Factor 23641797*k - 356409/2*k**2 - 4704717603/4 + 597*k**3 - 3/4*k**4.
-3*(k - 199)**4/4
Let p(s) be the first derivative of 5*s**3/3 - 175*s**2/2 + 620*s - 2632. Solve p(q) = 0.
4, 31
Let c be 6 + 2/(-1) - (-33)/(-9). Let a = -47/75 + 24/25. Factor 4/3*t - 4/3 - a*t**3 + c*t**2.
-(t - 2)*(t - 1)*(t + 2)/3
Let b(n) be the second derivative of -n**5/10 + 47*n**4/3 - 364*n**3/3 + 360*n**2 - 1874*n. Let b(l) = 0. What is l?
2, 90
Suppose -2869*m**3 + 380*m + 6039*m**3 - 2855*m**3 + 0*m**4 + 5*m**4 - 680*m**2 - 20*m**5 = 0. What is m?
-19/4, 0, 1, 2
Let q(b) be the third derivative of 6*b**2 + 11/5*b**5 + 0 + 13/40*b**6 + 2*b + 5/2*b**4 - 16*b**3. Let q(p) = 0. Calculate p.
-2, 8/13
Let q(d) be the second derivative of 1/22*d**5 - 4/33*d**3 - 2 - 1/231*d**7 + 5/33*d**4 - 2/165*d**6 - 8/11*d**2 - 6*d. What is h in q(h) = 0?
-2, -1, 1, 2
Let f(o) be the first derivative of o**3/5 + 189*o**2/2 - 1979. Factor f(r).
3*r*(r + 315)/5
Let t(n) = -7*n**4 + 53*n**3 + 1002*n**2 + 4508*n + 3479. Let c(b) = -12*b**4 + 107*b**3 + 2004*b**2 + 8988*b + 6958. Let f(q) = 3*c(q) - 5*t(q). Factor f(v).
-(v - 71)*(v + 1)*(v + 7)**2
Let f(z) be the third derivative of -z**7/630 - 19*z**6/180 - z**4/24 + z**3/2 - 9*z**2 + 5*z. Let d(n) be the second derivative of f(n). Factor d(a).
-4*a*(a + 19)
Let y be (-2)/(-4) - (-2 - -1). Let k(c) = -1450*c + 95704. Let u be k(66). Solve 11/4*i + y - 1/4*i**2 - 9/4*i**3 + 1/2*i**5 - 1/4*i**u = 0.
-1, 3/2, 2
Find u such that -54*u**4 + 58*u**4 + 84*u**3 + 4*u**5 - 108*u**3 = 0.
-3, 0, 2
Let q(f) be the second derivative of -f**6/30 + 25*f**5/2 - 61*f**4 - 1109*f**3/3 - 1235*f**2/2 - f + 4360. Factor q(c).
-(c - 247)*(c - 5)*(c + 1)**2
Suppose -2310*d = -2395*d + 340. Solve 2/5*k**2 + d*k + 42/5 = 0 for k.
-7, -3
Let m = 434 - 431. Factor -1282*s + 87*s**m + 13*s**3 - 32 + 1394*s - 152*s**2 + 4*s**5 - 32*s**4.
4*(s - 2)**3*(s - 1)**2
Let k(o) be the third derivative of o**5/60 + 313*o**4/24 + 206*o**3 - 2