 233581308*g - 4164. Let p(h) = 0. Calculate h.
-538, 1, 2
Let i(g) be the first derivative of 55*g**3/3 + 1517*g**2/2 + 274*g - 543. Solve i(b) = 0.
-137/5, -2/11
Let z(t) be the first derivative of -t**3/3 - 223*t**2 - 49729*t - 2979. Find s, given that z(s) = 0.
-223
Let r(q) = -23*q**3 + 74*q**2 - 149*q + 70. Let g(k) = -5*k**3 + 15*k**2 - 30*k + 14. Let i(v) = 42*g(v) - 9*r(v). Factor i(m).
-3*(m - 1)**2*(m + 14)
Let y(l) be the second derivative of -1/9*l**4 - 578/3*l**2 - 66*l + 0 - 68/9*l**3. Find v, given that y(v) = 0.
-17
Suppose 34*q + 152 - 317 = -97. Determine i, given that 3 + 3/4*i**q - 3*i = 0.
2
Factor 201*v**3 + 1410/7 + 4227/7*v**2 + 4229/7*v - 1/7*v**4.
-(v - 1410)*(v + 1)**3/7
Let i = 724232 - 724227. Find s, given that -10*s**2 + 27/2*s + 3/2*s**i - 15*s**3 + 9 + s**4 = 0.
-3, -1, -2/3, 1, 3
Let s(m) be the second derivative of -m**7/5460 + m**6/260 - 2*m**5/195 + 77*m**3/6 + 191*m. Let g(j) be the second derivative of s(j). Factor g(v).
-2*v*(v - 8)*(v - 1)/13
Suppose -50*n = -51*n - 2. Let m(g) = g**2 + 297*g - 6. Let p(q) = -2*q**2 - 298*q + 4. Let k(u) = n*m(u) - 3*p(u). Let k(w) = 0. What is w?
-75, 0
Let o(d) be the first derivative of -d**3 - 12*d**2 - 45*d - 1603. Factor o(b).
-3*(b + 3)*(b + 5)
Let t be (9/885)/(-1 + 10 + -10). Let k = t + 7703/3245. Determine m, given that -k*m**2 - 4/11*m + 0 = 0.
-2/13, 0
Find n, given that 177447456 - 852*n**2 - 43*n**3 + 55*n**3 + 5100*n**2 - 1503792*n - 16*n**3 = 0.
354
Let b(g) be the first derivative of 0*g - 43 - 1/24*g**6 + 13/16*g**4 + 0*g**2 + 7/12*g**3 + 1/4*g**5. Factor b(r).
-r**2*(r - 7)*(r + 1)**2/4
Let c(j) be the third derivative of -j**6/660 + 23*j**5/110 - 12*j**4 + 1100*j**3/3 + 5*j**2 - 73*j + 1. Factor c(g).
-2*(g - 25)*(g - 22)**2/11
Let p(c) = 48*c - 27*c + 442 - 33*c - 28*c. Let u be p(11). Find q, given that 200/3 + 2/3*q**u + 40/3*q = 0.
-10
Let 2/3*g + 2*g**3 - 8/3*g**2 + 0 = 0. Calculate g.
0, 1/3, 1
Let a(r) be the first derivative of -r**6/5 + 546*r**5/25 - 537*r**4/10 + 178*r**3/5 - 7683. Factor a(i).
-6*i**2*(i - 89)*(i - 1)**2/5
Suppose -4*u = -2*g - 20, 4*u = -5*g - 2 + 8. Factor -14*t**2 + 10*t**2 + 7*t**2 + 10*t**2 + 24*t - u*t**4 - 8*t**3 + 7*t**2.
-4*t*(t - 2)*(t + 1)*(t + 3)
Solve -297/5 + 2/5*h**5 + 232/5*h**3 + 522/5*h**2 + 54*h + 39/5*h**4 = 0 for h.
-11, -3, 1/2
Let x be 2 - (-6)/(-8) - 4669/116. Let f be x/208*(-3)/((-15)/(-20)). Let f*z**2 + 3/4*z + 0 = 0. What is z?
-1, 0
Let y(o) be the second derivative of 11/2*o**3 + 15/2*o**2 + 1/2*o**4 + 2*o + 16. Suppose y(l) = 0. What is l?
-5, -1/2
Let z(n) be the first derivative of -5*n**3/3 - 1130*n**2 - 2255*n - 939. Factor z(o).
-5*(o + 1)*(o + 451)
Determine u, given that 4 + 1376/5*u**3 + 728/5*u**4 + 196*u**2 + 254/5*u + 98/5*u**5 = 0.
-5, -1, -2/7, -1/7
Let w(l) be the second derivative of 5*l**7/21 + 4*l**6/5 + 7*l**5/10 + 1100*l - 1. Factor w(i).
2*i**3*(i + 1)*(5*i + 7)
Let k be 49986/12*(0 - 6/(-9)). Factor k - 28*b**3 + 2932 - 2782 - 18512*b + 2481 - 1448*b**2.
-4*(b + 26)**2*(7*b - 2)
Let x(k) be the second derivative of -k**6/105 + 2*k**5/7 - 39*k**4/14 + 54*k**3/7 - 193*k. Suppose x(m) = 0. Calculate m.
0, 2, 9
Let x(o) be the third derivative of -o**5/105 + 142*o**4/7 + 1355*o**2. Factor x(c).
-4*c*(c - 852)/7
Factor 0 - 1/3*q**3 - 48*q - 40/3*q**2.
-q*(q + 4)*(q + 36)/3
Let w = -135 + 139. Let -15*z + 199*z**3 - 5*z**2 - 184*z**3 + 6*z**4 - z**w = 0. Calculate z.
-3, -1, 0, 1
Let o(c) be the second derivative of c**4/18 + 4*c**3/3 + 10*c - 143. Factor o(i).
2*i*(i + 12)/3
Let i be (-38*77/5852)/(-2 + (-7)/(-4)). Solve 5/4*p - 1/4*p**3 - 3/4 - 1/4*p**i = 0 for p.
-3, 1
Let u(w) be the third derivative of w**6/180 + w**5/3 + 19*w**4/12 + 80*w**3/3 + 117*w**2. Let k(m) be the first derivative of u(m). Factor k(r).
2*(r + 1)*(r + 19)
Let h = -173 + 177. Solve -207*u**3 - 60*u**2 - 396*u**4 + 5*u**5 + 16*u**5 + 306*u**h + 36*u = 0.
-1, 0, 2/7, 6
Let b(w) = 10*w**5 + 18*w**4 - 13*w**3 - 11*w**2 - 6*w + 11. Let c(j) = j**5 + 2*j**4 - j**3 - j**2 - j + 1. Let p(t) = -b(t) + 9*c(t). Factor p(n).
-(n - 2)*(n - 1)*(n + 1)**3
Let s(a) = -7*a**4 - 17*a**3 + 16*a**2 + 2*a + 2. Let d(t) = 17*t**4 + 35*t**3 - 32*t**2 - 5*t - 5. Let i(z) = 2*d(z) + 5*s(z). Factor i(n).
-n**2*(n - 1)*(n + 16)
Let o(n) be the third derivative of n**6/360 - 23*n**5/180 + 67*n**4/36 - 56*n**3/9 + 1779*n**2. Solve o(x) = 0 for x.
1, 8, 14
Let r be (14/(-2))/(-1)*12/28. Let u(i) be the second derivative of -9/2*i**4 + 9*i - 4*i**r - 1/20*i**6 + 0 - 33/40*i**5 + 48*i**2. Factor u(b).
-3*(b - 1)*(b + 4)**3/2
Suppose 6*v = 7*v - 2. Let u be (2/(-4))/(v + 2245/(-1120)). Factor 103 + 120*h**2 - 52*h**3 - 24 + 8*h**4 - u*h - 47.
4*(h - 2)**3*(2*h - 1)
Let u be ((-572)/(-1287)*(7 - 51/6))/(4/(-3)). Determine n so that u*n**5 + 0 + 5/2*n**4 + 0*n + 0*n**3 + 0*n**2 = 0.
-5, 0
Let i be 8/6 + (-6)/(-9) - -50. Suppose i = 7*f - 32. Factor 17 + 7 - 8*b**2 + f*b + 8*b - 4*b**3.
-4*(b - 2)*(b + 1)*(b + 3)
Let b(d) = -d**4 + d**3 + d**2 + 1. Let w(m) = m - 9*m**3 + 21 + 4*m - 5*m**4 - 13*m**2 + 2*m + 5*m. Let j(g) = 3*b(g) - w(g). Suppose j(t) = 0. What is t?
-3, -1, 1
Let n(k) be the second derivative of 5*k**7/168 - k**6/20 - 7*k**5/40 + 7*k**4/12 - 5*k**3/8 + k**2/4 - 3572*k. Determine w, given that n(w) = 0.
-2, 1/5, 1
Suppose 0 = -2*r + 2, -2*r + 401 = -2*d + 405. Let v(y) be the third derivative of 1/8*y**4 + 0*y + 0 - 1/20*y**5 - 26*y**2 + y**d. Factor v(x).
-3*(x - 2)*(x + 1)
Let x = 1054453 + -1054451. Solve -6*p**x - 1/2*p**4 - 7*p + 7*p**3 + 13/2 = 0 for p.
-1, 1, 13
Let i(h) be the first derivative of -h**6/960 + h**5/40 - 9*h**3 - 2*h - 116. Let y(z) be the third derivative of i(z). Factor y(w).
-3*w*(w - 8)/8
Find n, given that 292*n**2 + 63948*n + 4/9*n**3 + 4668204 = 0.
-219
Let n(r) be the third derivative of -29*r**8/1008 - 101*r**7/315 - 457*r**6/360 - 83*r**5/45 + r**4/6 + 10*r**2 + 47*r. Let n(s) = 0. What is s?
-3, -2, 0, 1/29
Suppose 2*b + 6 = 4*z - 0*z, -5*b + 21 = 2*z. Suppose 309 = z*q - 4*d - 107, -4*d = 20. Suppose 10*h**2 - h**2 - q - 12 + 48*h - 13*h**2 = 0. Calculate h.
6
Let p be (-87)/9135*(-7)/13. Let d(h) be the second derivative of 0 + 0*h**5 - 24*h + 0*h**2 - p*h**6 + 1/78*h**4 + 0*h**3. Factor d(x).
-2*x**2*(x - 1)*(x + 1)/13
Let f(i) be the third derivative of -53*i**8/112 + 128*i**7/105 + 17*i**6/30 - 131*i**5/30 + 91*i**4/24 + i**3 - 8268*i**2. Let f(l) = 0. What is l?
-1, -3/53, 2/3, 1
Let q(z) be the first derivative of z**6/40 + 3*z**5/20 + 5*z**4/16 + z**3/4 - 115*z - 38. Let m(s) be the first derivative of q(s). Factor m(d).
3*d*(d + 1)**2*(d + 2)/4
Let n(k) be the second derivative of 5*k**4/12 - 155*k**3/6 + 145*k**2 + 131*k + 8. Find p, given that n(p) = 0.
2, 29
Let x be ((-4)/(-3))/((-66)/(-20493)). Factor 5*g**5 - 820*g**4 + x*g**4 + 0*g**5 + 433*g**4 - 60*g**3 - 9*g**2 - 19*g**2.
g**2*(g - 2)*(g + 7)*(5*g + 2)
Find y such that 27 + 22 + 1 + 74*y - 2 - 10*y**2 = 0.
-3/5, 8
Let v(l) = l**3 + 8*l**2 - 9*l + 2. Let b be v(-9). Let r = 3 + b. Find o such that -516*o**2 + 516*o**2 - r*o**3 = 0.
0
Let x be (4/10)/(81411/990 + -82). Let k(d) = -2*d + 11. Let z be k(3). Suppose 0 + x*w**4 - 12/7*w**2 - 12/7*w + 3/7*w**z + 9/7*w**3 = 0. Calculate w.
-2, -1, 0, 1
Let j be (-28)/(-48) + (-4)/(-24) - 19/(-380)*45. Factor 38/5*i**j - 19/5*i**4 - 4*i**2 - 8/5*i + 7/5 + 2/5*i**5.
(i - 7)*(i - 1)**3*(2*i + 1)/5
Suppose 5786*q + 4 = 5784*q - 2*z, 0 = 5*z + 20. Let 0 - 2*x**3 + 1/2*x**4 - 7*x - 19/2*x**q = 0. Calculate x.
-2, -1, 0, 7
Factor 2/7*l**3 - 6 - 50/7*l - 6/7*l**2.
2*(l - 7)*(l + 1)*(l + 3)/7
Let o(f) be the first derivative of -f**6/30 + f**5/15 + f**4/6 - 2*f**3/3 + 26*f**2 + 3. Let r(z) be the second derivative of o(z). Solve r(d) = 0.
-1, 1
Suppose 2*h + 3*d = 37, -6*d + 25 = -d. Let s(a) = 25*a - 275. Let x be s(h). Solve 0*p**2 + 4/13*p**3 - 2/13*p + x*p**4 + 0 - 2/13*p**5 = 0.
-1, 0, 1
Let b = 902 + -897. Let l(r) be the first derivative of 10/3*r**3 - 5/4*r**2 - 15/4*r**4 + 2*r**b + 0*r - 5/12*r**6 - 2. Factor l(h).
-5*h*(h - 1)**4/2
What is i in 324*i**2 - 32 - 320*i**2 - 229*i**4 + 257*i**4 + 62*i + 2*i**5 - 64*i**3 = 0?
-16, -1, 1
Let v(n) be the first derivative of n**6/24 - 5*n**5/6 - 55*n**4/24 + 75*n**2/2 - 13. Let m(s) be the second derivative of v(s). Find p, g