 2)*(3*f + 1)
Let m(s) be the first derivative of -s**4/8 + 7*s**3/3 - 23*s**2/4 - 55*s - 1208. Find n such that m(n) = 0.
-2, 5, 11
Let i be (7/(-4))/((-3)/12). Suppose -b = -5*l + 17, i*l + 3*b - 5 = 8*l. Factor -6/11*k**5 + 0 - 30/11*k**3 - 4/11*k + 2*k**l + 18/11*k**2.
-2*k*(k - 1)**3*(3*k - 2)/11
Factor -55*i + 99*i + 2*i**2 - 30*i + 20.
2*(i + 2)*(i + 5)
Let t(l) be the second derivative of 58*l + 0*l**3 + 0*l**2 + 1/20*l**5 + 0 - 1/126*l**7 + 0*l**6 - 1/18*l**4. Determine i so that t(i) = 0.
-2, 0, 1
Suppose -20/3*d**2 + 2/15*d**3 + 0 + 98/15*d = 0. Calculate d.
0, 1, 49
Let n(u) be the first derivative of -2*u**3/21 + 6*u**2/7 - 18*u/7 - 1153. Factor n(w).
-2*(w - 3)**2/7
Let j(q) = 11*q**2 + 1053*q + 1075. Let f(b) = 18*b**2 + 2106*b + 2143. Let g(d) = 3*f(d) - 5*j(d). Suppose g(z) = 0. What is z?
-1, 1054
Let b = 67596 - 67592. Solve 1/5*d**2 - 1/5*d**b + 0 - 8/5*d**3 + 8/5*d = 0 for d.
-8, -1, 0, 1
Let p(i) be the third derivative of -i**6/300 - i**5/15 + 29*i**4/20 - 48*i**3/5 - 341*i**2. Solve p(x) = 0 for x.
-16, 3
Factor 19*k - 73/6*k**2 + 0 - 1/3*k**3.
-k*(k + 38)*(2*k - 3)/6
Let p = -232946 + 232948. Factor 1/8*n**2 - 3/4*n**3 + 3*n + 1/8*n**4 + p.
(n - 4)**2*(n + 1)**2/8
Let i(w) be the third derivative of w**8/448 - 13*w**7/20 + 193*w**6/4 + 3173*w**5/5 + 6533*w**4/2 + 8836*w**3 - 407*w**2. Find p, given that i(p) = 0.
-2, 94
Let i(p) be the second derivative of -p**4/66 - 23*p**3/33 + 3*p - 909. Let i(l) = 0. What is l?
-23, 0
What is w in 735 + 639 + 541 - 555 + 464 - 4*w**2 + 596*w = 0?
-3, 152
Let p(x) be the first derivative of 2*x**3/27 - 33*x**2 - 3020*x/9 - 1380. Factor p(v).
2*(v - 302)*(v + 5)/9
Suppose -2 = 4*t + 3*s, -4*s - 25 = 2*t - 9. Let q(o) be the first derivative of 0*o + 6*o**2 + 9/4*o**t + 13*o**3 + 15. What is d in q(d) = 0?
-4, -1/3, 0
Let g(c) = 5*c**4 - 1062*c**3 - 12*c**2 + 3173*c + 2119. Let t(x) = x**4 - 2*x**3 + x - 1. Let r(j) = g(j) - t(j). Factor r(p).
4*(p - 265)*(p - 2)*(p + 1)**2
Let v(n) be the first derivative of -4/11*n - 48 + 1/22*n**4 + 1/11*n**3 - 2/11*n**2 - 1/55*n**5. Factor v(s).
-(s - 2)**2*(s + 1)**2/11
Let j(u) be the first derivative of -u**5 + 0*u + 30*u**2 - 80/3*u**3 + 35/4*u**4 + 192. Factor j(k).
-5*k*(k - 3)*(k - 2)**2
Let a(d) = d**3 - 10*d**2 + 4. Let f be a(10). Let -247*m**f - 526*m + 128 + 428*m**2 - 6*m**5 - 238*m**3 + 150*m - m**5 + 312*m**4 = 0. What is m?
1, 2, 16/7
Let x(f) = -f**2 + 14*f + 11. Let h(v) = v**2 - 15*v - 12. Let k(a) = -5*h(a) - 6*x(a). Let r be k(10). Factor -r - p**2 - 6 + 0*p**2 - 15*p - 4*p**2.
-5*(p + 1)*(p + 2)
Let k(o) be the first derivative of 4*o**5/5 + 40*o**4 + 768*o**3 + 7168*o**2 + 32768*o + 1115. Factor k(w).
4*(w + 8)**3*(w + 16)
Factor -8*z**4 + 27*z**3 + 22*z**4 + 52*z**2 - 14175*z - 1082*z**2 - 185*z**2 - 11*z**4.
3*z*(z - 21)*(z + 15)**2
Let g(q) be the third derivative of 2/195*q**5 + 0*q**4 - 1 + 0*q**6 - 1/1365*q**7 + 0*q + 0*q**3 + 12*q**2. Factor g(v).
-2*v**2*(v - 2)*(v + 2)/13
Let q = 60 - 62. Let b(i) = 10*i**2 + 19*i - 7. Let o(a) = -a**2 - 1. Let f(y) = q*b(y) - 22*o(y). Factor f(v).
2*(v - 18)*(v - 1)
Find r such that 105/2 + 13/3*r - 1/6*r**2 = 0.
-9, 35
Let s = -230915 + 2078261/9. Determine m, given that 2/9*m**3 - s + 26/9*m**2 - 2/9*m = 0.
-13, -1, 1
Let t(q) = -q**2 - q - 1. Suppose -5 = -o - 4. Let b(i) = -9*i**2 - 21*i + 43. Let k(f) = o*b(f) - 5*t(f). Factor k(l).
-4*(l - 2)*(l + 6)
Let q be 1 + -3 - (2 - 6 - 0). Suppose 0*y + 5*y**2 - 6*y + 21*y + 0*y**q = 0. Calculate y.
-3, 0
Suppose -5*n + 2*p = -66, 2*n - 3*p - 57 = -2*n. Factor 5*d**2 - 14*d**4 - 8*d - 2*d**5 - 18*d**3 - 7*d**2 - n*d**3 - 24*d**2.
-2*d*(d + 1)**3*(d + 4)
Find u, given that 0 - 2/5*u**2 - 138*u = 0.
-345, 0
Let c(s) = 12*s**2 + 4*s + 44. Let v(n) = -5*n**2 + 6*n + 8. Let h(m) = m**2 - m - 1. Let u(w) = -6*h(w) - v(w). Let x(t) = 2*c(t) + 28*u(t). Factor x(g).
-4*(g - 4)*(g + 2)
Let v(u) be the second derivative of u**4/16 - 5*u**3 + 117*u**2/8 - 32*u. Determine m, given that v(m) = 0.
1, 39
Let d(h) be the first derivative of -2*h**3/9 + 47*h**2/3 + 32*h + 575. Factor d(o).
-2*(o - 48)*(o + 1)/3
Let x = 10304968/13 + -791934. Factor 102/13*u**3 + x*u + 0 + 1734/13*u**2 + 2/13*u**4.
2*u*(u + 17)**3/13
Suppose 28 = 4*o - 3*l - 97, -4*o - 5*l + 133 = 0. Factor -35 - 15*f - 11*f**2 + o*f**2 - 28 - 34 + 91.
3*(f - 1)*(7*f + 2)
Let d(f) be the first derivative of -f**7/105 - f**6/12 - f**5/5 - 25*f**2/2 + 26. Let g(c) be the second derivative of d(c). Factor g(r).
-2*r**2*(r + 2)*(r + 3)
Let 10867*n**2 - 184*n + n**3 - 10747*n**2 + 1270 - 695*n = 0. What is n?
-127, 2, 5
Suppose -k = g - 14, -326*g = 4*k - 329*g + 21. Factor -2/3*l**2 + 0 + 4/15*l - 2/15*l**4 + 8/15*l**k.
-2*l*(l - 2)*(l - 1)**2/15
Let w be 170/(-204)*((-384)/100)/6. Let a(r) be the first derivative of 12 + 1/9*r**6 + 16/3*r - 4/3*r**2 + w*r**5 - 20/9*r**3 + 1/6*r**4. Factor a(n).
2*(n - 1)**2*(n + 2)**3/3
Let z(u) = -u**2 + u + 1. Let b(f) = -5*f**4 + 20*f**3 + 25*f**2 - 15*f - 20. Let h be (7/14)/(-1) - (-1)/(-2). Let l(p) = h*b(p) + 5*z(p). Factor l(t).
5*(t - 5)*(t - 1)*(t + 1)**2
Let t be (20/(-6))/((3520/144)/(-22)). Factor 46/7*b - b**2 + t.
-(b - 7)*(7*b + 3)/7
Let u(n) be the second derivative of 34/3*n**3 - 2*n**2 + 35/12*n**4 - n - 67. Suppose u(p) = 0. What is p?
-2, 2/35
Let u(t) be the third derivative of 0*t - 1/8*t**4 - 1/15*t**5 + 2/315*t**7 - 1/1008*t**8 + 0 + 168*t**2 + 0*t**3 + 1/180*t**6. Factor u(w).
-w*(w - 3)**2*(w + 1)**2/3
Factor 66385 + 3*m**2 - 66385 - 4*m + 5*m - 19*m.
3*m*(m - 6)
Determine x, given that 1/7*x**2 + 594/7*x + 88209/7 = 0.
-297
Let h(k) be the first derivative of -6*k**3 - 65*k**2 - 28*k - 3584. Determine p so that h(p) = 0.
-7, -2/9
Let k(z) be the first derivative of 7/2*z**2 + 61/9*z**3 - 2 - 98/3*z + 5/4*z**4 + 1/15*z**5. Factor k(h).
(h - 1)*(h + 2)*(h + 7)**2/3
Let k(d) = 6*d**3 + 136*d**2 + 284*d + 124. Let q(b) = 2*b**3 + 45*b**2 + 93*b + 41. Let j(r) = 3*k(r) - 10*q(r). Determine i so that j(i) = 0.
-19, -1
Suppose 4 = l - 2*m + 6, 3*l = 4*m - 2. Let q = 18 - 16. Factor 3*a**2 - 2 - 3*a**q + a**l + 1.
(a - 1)*(a + 1)
Suppose 5 = 5*b - 30. Solve 20*c**3 - 12 - 21*c**3 + c**2 + 44*c - 25*c**3 - b*c**4 = 0.
-3, -2, 2/7, 1
Let l = 5840 - 5840. Let o(j) be the third derivative of -4*j**2 - j**4 + l*j + 0 + 16*j**3 + 1/40*j**5. Factor o(i).
3*(i - 8)**2/2
Let j be 26490/23841 - (-7)/(-9). Solve 1 - 2/3*y - j*y**2 = 0 for y.
-3, 1
Suppose -4*n + 102 = 94. Let v(t) be the first derivative of 0*t + 15/16*t**4 + 5/4*t**3 + 5/8*t**n + 10 + 1/4*t**5. Suppose v(d) = 0. What is d?
-1, 0
Let k be 0 - (-1)/3 - 26/(-39). Suppose -5*x + k + 24 = 2*j, 0 = -5*x - 5*j + 40. Solve 4*i**4 - i**4 - 285*i - 3*i**2 + 6*i**x + 279*i = 0.
-2, -1, 0, 1
Suppose -67*n**3 - 126*n + 144 - 24*n + 352*n**2 + 129*n - 471*n + 188*n**3 = 0. What is n?
-4, 6/11
Suppose 14 = 2*f + q, 19 = 2*f + 2*q + 1. Let s be (6 - 13) + (-90)/(-10). Factor -f*n**4 + 3*n**4 + s*n**2 + 5*n**3 - 2*n**5 - 3*n**3.
-2*n**2*(n - 1)*(n + 1)**2
Suppose 4*n - 35 = -n + 3*i, 3*i = -n - 11. Factor -396*f**2 - 686*f**2 + 6471*f**3 - 31144*f**4 - 766*f**2 + 6591*f**5 + 7822*f**n - 18171*f**3 - 96*f.
3*f*(f - 4)*(13*f + 2)**3
Suppose 0 = 11*j - 8*j - 2*t + 314, 4*j + 2*t + 414 = 0. Let k = -97 - j. Find q, given that 2*q - q**5 + q**3 - k*q + 5*q = 0.
-1, 0, 1
Let q = -1799841 + 1799843. Determine v so that 2*v**q - 8/3*v - 8/3 = 0.
-2/3, 2
Suppose 0 = 2*t - 19 + 11. Factor -4*d**2 - 4*d**2 - 10*d**4 + 12*d**t + 31*d**3 - 25*d**3.
2*d**2*(d - 1)*(d + 4)
Let p(b) be the second derivative of -11/30*b**4 - 7*b - 1/50*b**5 - 32/15*b**3 + 6 - 28/5*b**2. Factor p(n).
-2*(n + 2)**2*(n + 7)/5
What is f in 980 + 365/6*f**3 - 4970/3*f + 715/3*f**2 + 5/2*f**4 = 0?
-14, 2/3, 3
Let w(q) be the second derivative of q**6/10 + 21*q**5/20 - 99*q**4/4 + 297*q**3/2 - 405*q**2 - 59*q - 1. Factor w(v).
3*(v - 3)**2*(v - 2)*(v + 15)
Let d(w) be the third derivative of -w**8/1512 - 29*w**7/945 - 9*w**6/20 - 33*w**5/10 - 14*w**4 - 36*w**3 - 14*w**2 + 2*w + 63. Find b such that d(b) = 0.
-18, -3, -2
Let y = -511 - -515. What is z in -z**4 + 186*z**3 - 175*z**3 - 2*z**2 - 8*z**y = 0?
0, 2/9, 1
Suppose 47 + 32 = 22*d - 9. Let m(l) be the first derivative of d*l**2 - 4*l**3 + 4/5*l**5 + 2 + 0*l + 0*l**4. Factor m(