e b(s) = 0. Calculate s.
-21, -9, 0
Determine u, given that -520 - 2/5*u**2 - 34*u = 0.
-65, -20
Let c(m) be the second derivative of 3*m**5/140 - 115*m**4/4 + 81204*m**3/7 - 242406*m**2/7 - 2*m + 1564. Factor c(z).
3*(z - 402)**2*(z - 1)/7
Factor -6564696/11 + 12552/11*z - 6/11*z**2.
-6*(z - 1046)**2/11
Find z, given that 243 - 187*z**2 - 18 + 215 - 8*z**2 - 40*z**3 + 5*z**4 + 290*z = 0.
-4, -1, 2, 11
Let f(y) = -y**3 + 54*y**2 - 54*y + 50. Let k be f(53). Let u(q) = 69*q + 207. Let t be u(k). Solve -1/5*w**2 + t + 3/5*w - 3/5*w**3 + 1/5*w**4 = 0 for w.
-1, 0, 1, 3
Suppose 0 = 164*x - 137*x - 43 - 38. Factor -4/3 + 2/3*m - 1/6*m**x + 1/3*m**2.
-(m - 2)**2*(m + 2)/6
Let w(l) be the second derivative of 24*l**2 - 21*l**3 + 1/10*l**6 + 2 - 9/5*l**5 - 46*l + 37/4*l**4. Factor w(r).
3*(r - 8)*(r - 2)*(r - 1)**2
Let y(b) be the second derivative of -88*b + 0*b**2 + 7/48*b**4 - 1 + 1/160*b**5 - 5/16*b**3. Factor y(s).
s*(s - 1)*(s + 15)/8
Let s(y) be the first derivative of 1/18*y**3 + 3/2*y - 5/6*y**2 - 115. Factor s(n).
(n - 9)*(n - 1)/6
Let c(b) be the first derivative of 2*b**5/5 + 15*b**4/2 + 142*b**3/3 + 129*b**2 + 144*b + 748. Factor c(q).
2*(q + 1)*(q + 3)**2*(q + 8)
Factor 29*n - 90 - 40*n - 57*n + 20*n - 2*n**2 + 20*n.
-2*(n + 5)*(n + 9)
Let i(m) = -m**3 - m**2 + 1. Let h(s) = -5*s**3 - 3*s**2 + 16 + 2*s**3 + 4*s + 0*s**3 - 8*s**2. Let q(v) = h(v) - 4*i(v). Let q(u) = 0. What is u?
-1, 2, 6
Let k(v) be the first derivative of -3*v**4/28 - 213*v**3/7 - 4995*v**2/2 - 14175*v - 2889. Factor k(g).
-3*(g + 3)*(g + 105)**2/7
Let y(b) = b**3 + 20*b**2 - 22*b - 29. Let d be y(-21). Let m be d + 222/18 - 4. Find i, given that 0 - 1/3*i - m*i**3 - 2/3*i**2 = 0.
-1, 0
Let d = -4318 - -4365. Let g(l) be the first derivative of -2/5*l**3 - 1/10*l**4 + d - 2/5*l - 3/5*l**2. Solve g(a) = 0 for a.
-1
Suppose -2*l + 2*v - 2 + 16 = 0, 5*l - 23 = 2*v. Let r(k) be the second derivative of 9*k - 20/3*k**l + 0 - 100*k**2 - 1/6*k**4. Factor r(d).
-2*(d + 10)**2
Let z be (-28 + 23)/((-196)/42 + (-22)/(-6) + -3). Factor 3/8*o**3 - z*o**2 - 9/8*o + 1/2.
(o - 4)*(o + 1)*(3*o - 1)/8
Let b(g) be the second derivative of -g**6/135 - 31*g**5/90 - 865*g. Let b(f) = 0. Calculate f.
-31, 0
Let g(l) be the second derivative of 1/126*l**7 + 0*l**3 + 0*l**4 - 1/90*l**6 + 0*l**5 - 3 + 0*l**2 + l. Suppose g(m) = 0. Calculate m.
0, 1
Let m(n) be the second derivative of -2*n**7/21 + 14*n**6/3 - 75*n**5 + 375*n**4 - 5903*n. Factor m(l).
-4*l**2*(l - 15)**2*(l - 5)
Let f(z) be the first derivative of z**4/14 + 382*z**3/21 - 1173*z**2/7 + 3546*z/7 - 6879. Factor f(d).
2*(d - 3)**2*(d + 197)/7
Let z(o) = o**2 + 653*o - 1346. Let k(i) = -15*i**2 - 9145*i + 18845. Let u(y) = 4*k(y) + 55*z(y). Factor u(r).
-5*(r - 2)*(r + 135)
Suppose 0 = 474*n - 1945*n. Factor -18/7*u**2 - 2/7*u**3 + n + 44/7*u.
-2*u*(u - 2)*(u + 11)/7
Let c(d) be the third derivative of -d**8/336 + d**7/15 + 7*d**6/30 - 97*d**5/30 - 9*d**4/8 + 30*d**3 - 8925*d**2. Solve c(k) = 0.
-4, -1, 1, 3, 15
Suppose b = 2*p - 68, 0 = -b - 4 + 8. Let g be 4/p + 17/9. Factor a + 1/3*a**g - 4/3.
(a - 1)*(a + 4)/3
Let l(k) be the third derivative of k**5/20 - 9*k**4/2 + 112*k**3 - 2*k**2 - 2339*k. Factor l(p).
3*(p - 28)*(p - 8)
Let s(j) be the third derivative of -j**7/175 - 931*j**6/300 - 35723*j**5/75 + 10192*j**4/5 + 16224*j**3/5 - 2710*j**2. Find w such that s(w) = 0.
-156, -1/3, 2
Find p, given that -178/3*p**2 - 1/3*p**4 - 40/3*p**3 + 105 - 32*p = 0.
-35, -3, 1
Let q = -904 - -904. Let 54950 - 156200 + 3077*c**2 + 2*c**5 + 74250*c + 118*c**4 + 2580*c**3 + q*c**5 + 21223*c**2 = 0. What is c?
-15, 1
Let b(g) = g**2 - 27*g + 35. Let t(n) = -6 + 5 - 4*n + 1 + 5*n + 2*n**2. Let a(u) = b(u) - 3*t(u). Let a(s) = 0. Calculate s.
-7, 1
Suppose -59*l + 3 = -58*l. Let u be -6*(5 - (-64)/(-12)). Factor 1/6*h + 0 - 1/6*h**5 + 0*h**l + 1/3*h**u - 1/3*h**4.
-h*(h - 1)*(h + 1)**3/6
Let -512/3*g**3 - 1856*g**2 - 980/3 - 1526*g = 0. What is g?
-10, -7/16
Suppose 41*n - 240 = 35*n. Factor n - 23*m + 22*m**3 - 17*m - 5*m**4 - 30*m**2 + 3*m**3 + 20*m.
-5*(m - 2)**3*(m + 1)
Let j = 115 - 112. Factor x + 7*x + 11*x - 7*x - 32*x**j + 20*x**2.
-4*x*(x - 1)*(8*x + 3)
Let j(u) be the third derivative of 0*u - 7/12*u**3 - 1/240*u**5 - 6 + 5*u**2 - 3/32*u**4. Suppose j(k) = 0. Calculate k.
-7, -2
Let n(f) = -55*f**2 + 27*f + 28. Let g(c) = 156*c**2 - 80*c - 83. Let i(p) = 6*g(p) + 17*n(p). Factor i(x).
(x - 22)*(x + 1)
Let r(h) = -10*h**3 + 2*h**2 + 15*h + 6. Let i(d) = 13*d**3 - 3*d**2 - 17*d - 5. Let t(k) = -3*i(k) - 4*r(k). Factor t(w).
(w - 3)*(w + 1)*(w + 3)
Let g(d) be the third derivative of -3*d**5/70 + 142*d**4/7 - 80656*d**3/21 + 1787*d**2. Suppose g(i) = 0. Calculate i.
284/3
Factor -144/7*m**4 + 0 + 360/7*m**2 + 100/7*m + 244/7*m**3 + 16/7*m**5.
4*m*(m - 5)**2*(2*m + 1)**2/7
Let n(t) = 12*t + 436. Let a be n(-36). Let m(j) = -j**3 - 2*j**2 + 22*j + 10. Let q be m(a). Factor 2/9*u**q - 2/9*u**3 - 2/9 + 2/9*u.
-2*(u - 1)**2*(u + 1)/9
Factor -279/2*n + 73/2*n**2 - 1/2*n**3 + 207/2.
-(n - 69)*(n - 3)*(n - 1)/2
Suppose -73*o = -18*o + 4180. Let f be 4 - (5 - o/(-68)). What is z in 2/17*z**4 - 6/17*z**3 + 6/17*z + f*z**2 - 4/17 = 0?
-1, 1, 2
Let y(u) = u**3 - 93*u**2 - 94*u. Let a(h) = h**3 - 91*h**2 - 92*h. Let f(n) = -6*a(n) + 5*y(n). Suppose f(w) = 0. Calculate w.
-1, 0, 82
Let d(j) = 13*j**2 - 199*j + 60. Let z be d(15). Let 0 + 0*p**3 - 2/5*p**4 + 0*p + z*p**2 = 0. What is p?
0
Let n be 14 - -20*((-90)/12 + 7). Let z(m) be the second derivative of 0 - n*m**3 + 5/3*m**4 - 1/5*m**5 + 0*m**2 - 23*m. Solve z(k) = 0.
0, 2, 3
Determine s so that 79*s - 97 + 5*s**2 + 35*s - 14*s + 277 = 0.
-18, -2
Factor 229*b - b**2 + 40*b - 479 + 83 - 664.
-(b - 265)*(b - 4)
Let 0 - 240/7*d**2 + 4/7*d**3 + 236/7*d = 0. What is d?
0, 1, 59
Let h(i) be the first derivative of -113 - 1/30*i**5 + 0*i - 5/12*i**4 - 2*i**2 - 14/9*i**3. Factor h(l).
-l*(l + 2)**2*(l + 6)/6
Factor -123823 + 17*p**4 - 1995*p**2 + 206*p**3 + 1611*p**2 - 40033*p - 1954*p**2 + 3*p**5 - 4*p**5 + 84*p**3.
-(p - 19)**2*(p + 7)**3
Let i(r) be the second derivative of -2 + 1/10*r**5 - 1/6*r**4 + r**2 - 1/3*r**3 - 44*r. Suppose i(o) = 0. Calculate o.
-1, 1
Let f be ((-2209)/2)/(-1 - 4/(-8)). Factor -f*m - m**3 + 1117*m + 12 + 1105*m.
-(m - 4)*(m + 1)*(m + 3)
Let t be (-6)/(-7) - (-3 + 40941/10647). Let k = 63361/1183 + t. Suppose 225/7*x + 3/7*x**3 + k + 45/7*x**2 = 0. What is x?
-5
Let h(n) = -15*n + 4 - 1 - 49*n**4 + 3 - 823*n**3 - 109*n**2 + 698*n**3. Let t(x) = x**4 + x**2 + 1. Let o(j) = -h(j) - 4*t(j). Factor o(m).
5*(m + 1)**3*(9*m - 2)
Suppose -80*d**2 - 1 - 9 + 5*d**4 + 15*d**3 - 48*d**2 + 133*d**2 + 0*d**4 - 15*d = 0. What is d?
-2, -1, 1
Let x(n) = 2*n**2 - 2*n - 3. Let a be x(3). Suppose -l + a = 2*l. What is m in 3*m - m**l - m**3 - 3 - 2*m**3 + m**3 + 3*m**2 = 0?
-1, 1
Let a(d) be the third derivative of -d**5/30 + 163*d**4/6 + 656*d**3/3 + 107*d**2 + 21*d. Solve a(z) = 0 for z.
-2, 328
Solve -1822/9*t**2 + 2*t**3 + 136/3 - 1432/9*t = 0.
-1, 2/9, 102
Let j = 45 - 43. Suppose 17 = 2*d - 2*s + s, -4*d + 14 = j*s. Let b(q) = -q**2 + q + 1. Let l(t) = -4*t**2 - 15*t - 78. Let r(g) = d*b(g) - 2*l(g). Factor r(a).
2*(a + 9)**2
Let w be 22 - (4/54 + (-21780)/(-1215)). Factor 3/2*y**w + 0 - 9/2*y**3 - 3/2*y + 9/2*y**2.
3*y*(y - 1)**3/2
Let p be (4 + 220/(-45))*(-11 + 1360/128). Suppose -10 - 7/3*w + p*w**2 = 0. Calculate w.
-3, 10
Let a(m) be the second derivative of m**6/105 + 11*m**5/70 + 17*m**4/21 + 8*m**3/7 + 8*m. Solve a(l) = 0 for l.
-6, -4, -1, 0
Let v(y) be the second derivative of -y**4/42 + 2*y**3/7 - 5*y**2/7 - 410*y. Factor v(a).
-2*(a - 5)*(a - 1)/7
Find u such that 39*u + 21*u - 21*u + 204 - 23*u**2 - 68*u**2 + 88*u**2 = 0.
-4, 17
Let z(w) = -12*w**2 - 90*w. Let u(m) be the first derivative of 10*m**3/3 + 44*m**2 - 91. Let j(a) = 7*u(a) + 6*z(a). Determine v so that j(v) = 0.
0, 38
Suppose 42*l = 43*l - 3. Factor 8*p**3 - 2*p**4 - 2*p**4 - l*p**3 + 3*p**3 - 4*p**2.
-4*p**2*(p - 1)**2
Solve 320*k + 2/9*k**2 + 115200 = 0 for k.
-720
Let j be (-181 - 1)/(0 - 4/8). Let x = j + -362. Factor -2/9*r**x + 4/9*r + 0.
-2*r*(r - 2)/9
Suppose -5*h + 38 = 2*j - 5*j, j = -2*h + 13. Suppose h*g - 11*g = -40. Suppose -22*s - 8*s + 60*s**3 + 2428*s**2 - 2463*s**2 + 15*s**4 - g*s**5 = 0. Wha