2*j = -2*s + 76, -4*s - d*j - 3*j + 134 = 0. Factor 72*b - 2/3*b**4 - 54 + 8*b**3 - s*b**2.
-2*(b - 3)**4/3
Determine z so that -32181 - 127*z**2 - 159*z**2 + 32907 + 244*z + 40*z**2 - 722*z - 2*z**3 = 0.
-121, -3, 1
Let b(i) be the second derivative of i**5/30 - i**4/4 - 6*i**3 - 54*i**2 + 2*i + 63. Let k(n) be the first derivative of b(n). Find w, given that k(w) = 0.
-3, 6
Let z be ((-11844)/(-48))/(-21) - -4*(-1 - -4). Find h such that h**4 - 3/4*h + 0 + 1/2*h**3 - h**2 + z*h**5 = 0.
-3, -1, 0, 1
Let v = 1356 + -1354. Let h be v/((-77)/84*-3). Let -2/11*l**3 + h + 4/11*l**2 + 14/11*l = 0. Calculate l.
-1, 4
Let b(y) be the second derivative of y**6/10 - 99*y**5/20 + 6*y**4 + 134*y**3 - 576*y**2 - 5*y - 772. Factor b(a).
3*(a - 32)*(a - 2)**2*(a + 3)
Let p(c) be the second derivative of 256*c**4/63 + c**3/21 + c + 530. Let p(h) = 0. What is h?
-3/512, 0
Let k(t) be the third derivative of 203*t**2 + 0 + 0*t**4 + 1/1512*t**8 + 0*t**3 + 1/45*t**6 - 13/945*t**7 + 0*t**5 + 0*t. Factor k(h).
2*h**3*(h - 12)*(h - 1)/9
Let c = -2/26801 + 53620/241209. Factor -2 - c*a**3 - 22/9*a**2 - 38/9*a.
-2*(a + 1)**2*(a + 9)/9
Factor 1075*r - 2330*r - 358 - r**2 + 887*r + 727*r.
-(r - 358)*(r - 1)
Suppose 49*r = -88 + 382. Factor 3*k**2 - 17*k**2 + r*k**2 + 7 + 16*k + 10 + 7*k**2.
-(k - 17)*(k + 1)
Suppose 2*a + 2*m = m + 17, 5*a - 3*m - 15 = 0. Suppose -5*x = -2*x - a. Let 8/3 + 2/3*c**x + 10/3*c = 0. Calculate c.
-4, -1
Let d be (-6 + (-3)/8*6958/(-213))*50. Factor 25*l - 1/2*l**2 - d.
-(l - 25)**2/2
Let d = -951 + 1054. Let i = 108 - d. Factor 1/8*c**i + 0 + 0*c**4 - 1/8*c**3 + 0*c**2 + 0*c.
c**3*(c - 1)*(c + 1)/8
Let n(h) be the third derivative of -h**5/90 + 41*h**4/4 - 368*h**3/9 + 24*h**2 + 11. Find j, given that n(j) = 0.
1, 368
Let b be -140 + (-8)/(-10)*(-270)/(-36). Let y be 1*5 + (b - -134). Determine j so that 45*j**3 - 12*j + 15/2*j**y + 0 - 69/2*j**4 - 6*j**2 = 0.
-2/5, 0, 1, 2
Let n be (7 + 3344/(-476) - (-78)/(-663))*-3. Suppose 0*q + 2*q - 4 = 0. Factor -n + 15/7*y**q - 3/7*y - 9/7*y**3.
-3*(y - 1)**2*(3*y + 1)/7
Let r = 752426 - 752426. Let f be ((-2)/3 - -2) + -1. Find y, given that 4/3*y - 4/3*y**2 + 1/3*y**4 + r - f*y**3 = 0.
-2, 0, 1, 2
Factor 108/5*q**3 + 3021/5*q**2 + 0 + 1/5*q**4 + 5618/5*q.
q*(q + 2)*(q + 53)**2/5
Let x(a) = -7*a - 14. Let p be x(-3). Suppose -15*s + 24 = -p*s. Factor 4/3*l**2 - 4/3*l - 1/3*l**s + 0.
-l*(l - 2)**2/3
Let v = -17/12 - -13/6. Let p be 4/56 - (1219/161 + -9). Determine d, given that -3/4*d + v*d**3 + p*d**2 - 3/2*d**4 + 0 = 0.
-1, 0, 1/2, 1
Factor 40 + 2/5*p**2 - 58/5*p.
2*(p - 25)*(p - 4)/5
Let s(b) be the first derivative of -b**4/10 + 22*b**3/15 - 8*b**2/5 - 8*b + 2240. Solve s(l) = 0.
-1, 2, 10
Let -141/8*h**4 - 186*h - 3/8*h**5 - 123/2 - 777/8*h**3 - 1635/8*h**2 = 0. Calculate h.
-41, -2, -1
Let p(v) = -v**4 + 10*v**3 - 5*v**2 - 8*v + 12. Let o be 10 + -4 + 1 - 6. Let m(l) = l**4 - l**3 - l**2 - l. Let z(q) = o*p(q) + 4*m(q). Factor z(x).
3*(x - 1)**2*(x + 2)**2
Let z be 9792/2464 - (-72)/(-132). Let 0 - 4/7*v**3 - 20/7*v**2 - z*v = 0. What is v?
-3, -2, 0
Let o(a) = a**3 + 46*a**2 - 274*a - 965. Let d be o(-51). Suppose 124/9*i**3 + 76/9*i**d + 4/9 + 32/3*i**2 + 2*i**5 + 34/9*i = 0. What is i?
-1, -2/9
Let x(l) be the second derivative of -4/9*l**3 + 4*l + 0 + 0*l**4 + 1/90*l**5 + 5*l**2. Let w(k) be the first derivative of x(k). Suppose w(s) = 0. What is s?
-2, 2
Let 7695/4*b + 1925/2 + 960*b**2 - 5/4*b**3 = 0. What is b?
-1, 770
Let b(o) = 4*o**4 + 241*o**3 - 1425*o**2 - 489*o + 11. Let g(a) = a**4 + 48*a**3 - 285*a**2 - 98*a + 2. Let q(k) = -4*b(k) + 22*g(k). Factor q(f).
2*f*(f - 5)*(f + 20)*(3*f + 1)
Let a(l) be the first derivative of 2*l**3/15 + 406*l**2/5 + 6652. Factor a(s).
2*s*(s + 406)/5
Let s(b) be the second derivative of -5*b**4/3 + 215*b**3/2 - 80*b**2 - 1893*b. Find r, given that s(r) = 0.
1/4, 32
Let z be 96/40 + 6/10 + 0. Factor -215*x - 18*x**3 + 110 + 23*x**z + 120*x**2 - 10*x**3 - 10*x.
-5*(x - 22)*(x - 1)**2
Let x(a) be the first derivative of 2*a**4 - 4*a**3 - 46*a**2 + 48*a - 600. Suppose x(w) = 0. What is w?
-3, 1/2, 4
Suppose 0*n + 12 = 4*n. Find h, given that -20172 - 140*h - n*h**2 - 31*h - 321*h = 0.
-82
Suppose 6*l - 1196 = -116. Let f be (-20)/(-26)*1296/l. Let -f - 24/13*t - 2/13*t**2 = 0. Calculate t.
-6
Suppose 5*i + 10 = -4*y, -16*y + 24*y - 2*i - 4 = 0. Find s such that -1/3*s**4 + 0*s**2 + y + 1/9*s**3 + 0*s = 0.
0, 1/3
Let z be 3408/(-100) + (-36)/(-450). Let o be 3 - ((-4)/10 - z/10). Factor -12*b**2 - 28/3*b**3 - 8/3*b + o.
-4*b*(b + 1)*(7*b + 2)/3
Let z = -1589 - -1591. Let o(w) be the second derivative of 0*w**4 - 1/10*w**5 + 0 + 7*w + 0*w**z + 1/3*w**3. Factor o(n).
-2*n*(n - 1)*(n + 1)
Suppose -5*b - 4*s = 35, -s - 15 + 7 = b. Let g(h) = 4*h**2 - 5*h - 20. Let l(f) = 7*f**2 - 8*f - 40. Let k(a) = b*l(a) + 5*g(a). Factor k(d).
-(d - 4)*(d + 5)
Let c(g) be the second derivative of -g**4/48 + 19*g**3/12 - 30*g**2 + 207*g - 1. Factor c(j).
-(j - 30)*(j - 8)/4
Suppose 0 = -40*t - 112*t + 456. Let j(k) be the first derivative of 17 - 1/6*k**t - k - 3/4*k**2. Solve j(f) = 0 for f.
-2, -1
Suppose n - c = 150 + 88, -244 = -n - 2*c. Let q = 975/4 - n. Find f such that 5/4*f + 5/2 - q*f**2 = 0.
-2/3, 1
Let f(x) be the first derivative of -x**3/3 - 144*x**2 - 2585*x - 25. Let l(n) = -n**2 - 144*n - 1293. Let y(u) = 3*f(u) - 7*l(u). Factor y(o).
4*(o + 18)**2
Let c = 304402/11 + -27670. Factor c - 2/11*j**2 + 0*j.
-2*(j - 4)*(j + 4)/11
Let g(f) = 4*f - 15. Let q be g(5). Suppose -2*p = 0, 0*p - 175 = -q*j - 2*p. Let -2*u + 59*u**2 - 3*u - j*u**2 - 29*u**2 = 0. Calculate u.
-1, 0
Let g be (-132)/(-594)*9/168. Let p(d) be the third derivative of 4/35*d**7 - g*d**8 - 8/5*d**5 + 0*d - 1/30*d**6 - 8/3*d**4 + 7*d**2 + 0 + 0*d**3. Factor p(h).
-4*h*(h - 4)**2*(h + 1)**2
Let q(u) be the second derivative of 3721*u**5/90 + 33733*u**4/54 + 2200*u**3/27 + 4*u**2 + 2990*u + 2. Factor q(x).
2*(x + 9)*(61*x + 2)**2/9
Let j(d) = -d**2 - d - 1. Let k be 13/(-5) - -3 - (-48)/(-20). Let i(o) = 16*o**2 - 70*o - 950. Let b(l) = k*i(l) - 36*j(l). Suppose b(s) = 0. Calculate s.
-22
Let b(d) be the third derivative of -d**8/84 - 68*d**7/105 - 76*d**6/15 - 206*d**5/15 - 29*d**4/2 - 55*d**2 + 3*d + 6. Determine j, given that b(j) = 0.
-29, -3, -1, 0
Suppose 11*a = 22*a + 5588. Let z = a - -508. Factor 4/3*d - d**3 + 0 + z*d**2 + 1/3*d**4.
d*(d - 2)**2*(d + 1)/3
Let g(n) be the second derivative of n**7/98 + 8*n**6/5 - 171*n**5/70 - 4*n**4 + 113*n**3/14 - 861*n. Suppose g(l) = 0. What is l?
-113, -1, 0, 1
Find p such that 697043*p**3 + 0 + 0 + 8*p**5 + 45*p**4 - 22*p**2 - 143*p**4 - 696931*p**3 = 0.
0, 1/4, 1, 11
Let g = 925 + -923. Solve -59365*j + 12 + 10*j**3 - 5*j**2 + g*j**2 + 7*j**2 + 59339*j = 0 for j.
-2, 3/5, 1
Let t(b) = -b**3 + 15*b**2 + 5*b - 15. Let h be t(15). Let a be 1*1/4 - (-2805)/h. Factor a + 6*l**3 + 60*l - 30*l**2 - 87 - l**3.
5*(l - 2)**3
Suppose -2*o - 5*a + 164 = o, 286 = 5*o + 2*a. Suppose -964 - 70*h + o - 319 - h**2 = 0. Calculate h.
-35
Let s(z) = 2*z**3 + 23*z**2 + 14*z + 25. Let g be s(-11). Let r be (-28)/g*(-92)/(-161). Solve -1/4*x**4 - 9/4*x**r - 1/2 + 5/4*x**3 + 7/4*x = 0.
1, 2
Let i(y) be the third derivative of 2*y**3 + 22*y**2 + 1/15*y**5 + 2/3*y**4 + 0 + 0*y. Solve i(j) = 0.
-3, -1
Let j be ((38456/(-322))/19)/((-15)/35). Factor j*k + 2/3*k**2 + 0.
2*k*(k + 22)/3
Let n(y) be the first derivative of -y**4/4 - 7*y**3/2 + 64*y - 85. Let w(j) be the first derivative of n(j). Let w(u) = 0. Calculate u.
-7, 0
Factor -1131*k - 1279161/2 - 1/2*k**2.
-(k + 1131)**2/2
Let x = 541504 - 541502. Determine j, given that 2/3*j**4 + 70/3*j**3 - 2014/3*j + 1444/3 + 166*j**x = 0.
-19, 1, 2
Let l = 399937 + -399934. Factor 14/17*a**2 + 2/17*a**4 + 0*a - 16/17*a**l + 0.
2*a**2*(a - 7)*(a - 1)/17
Let i(k) be the second derivative of k**5/50 - 31*k**4/30 + 616*k. Factor i(b).
2*b**2*(b - 31)/5
Let i = 2429335/1607496 - -2/18267. Let f = i - 1/88. Factor 0 - f*r**4 + 4*r**3 - r - 3/2*r**2.
-r*(r - 2)*(r - 1)*(3*r + 1)/2
Let p(a) = a**2 - 9*a - 50. Let y be p(-4). Factor -5*m**3 + 6199 + 5806 - 12495*m + 500*m**2 + 0*m**3 - 114*m**2 + 109*m**y.
-5*(m - 49)**2*(m - 1)
Suppose 0 = w - 37 + 21. Let v = 202 - 199. What is g in -v*g + w*g + 25*g - 50 + 5*g**2 + 7*g = 0?
-10, 