ond derivative of -o**7/28 + o**6/5 - 9*o**5/20 + o**4/2 - o**3/4 + 397*o. Factor r(i).
-3*i*(i - 1)**4/2
Let l(x) = 7*x**4 - 9*x**2 + 10*x + 6. Let r(o) = -o**4 + o**2 - 2*o - 1. Suppose -4*v + 75 = -45. Let b(i) = v*r(i) + 5*l(i). Factor b(d).
5*d*(d - 2)*(d + 1)**2
Let x(s) be the second derivative of -s**6/60 - s**5/6 + s**4/2 - 209*s**2/2 - 193*s. Let k(f) be the first derivative of x(f). Determine u so that k(u) = 0.
-6, 0, 1
Let q(t) be the third derivative of -t**5/150 - 42*t**4/5 - 1004*t**3/15 - 176*t**2 - 3*t + 2. Factor q(o).
-2*(o + 2)*(o + 502)/5
Let i be (-8925)/(-5355)*(4/15 - 0). Factor i*q**3 + 0 - 2/9*q**4 + 10/9*q**2 - 4/3*q.
-2*q*(q - 3)*(q - 1)*(q + 2)/9
Let i(q) be the first derivative of 5*q**4/4 - 40*q**3/3 - 75*q**2/2 + 270*q + 7499. Factor i(b).
5*(b - 9)*(b - 2)*(b + 3)
Suppose 10*o = -6*o + 1584. Let l be 110/o*((-1440)/25)/(-6). Determine w, given that -l*w**5 + 10/3*w + 10/3*w**2 - 2/3 - 50/3*w**3 - 80/3*w**4 = 0.
-1, 1/4
Let o(s) be the third derivative of s**6/420 - 68*s**5/105 + 105*s**4/4 - 3186*s**3/7 - 9406*s**2. Determine n so that o(n) = 0.
9, 118
Let j(q) = 11*q**2 + 1964*q - 1969. Let o(v) = 49*v**2 + 7855*v - 7877. Let m(c) = 9*j(c) - 2*o(c). Factor m(n).
(n - 1)*(n + 1967)
Suppose 3*s = 2*h + s - 12, 3*h = s + 12. Suppose h*a + 36 = 2*x - 0, -4*a = -3*x + 53. Factor 36*c**2 + 3/2*c**4 + x*c - 75/2 - 15*c**3.
3*(c - 5)**2*(c - 1)*(c + 1)/2
Let r(s) be the third derivative of 0*s - 3*s**2 + 0 + 799/12*s**5 + 289/24*s**6 + 10*s**3 - 125/3*s**4. Let r(n) = 0. What is n?
-3, 2/17
Suppose -32/3*z - 26/9*z**2 + 2/9*z**3 + 0 = 0. Calculate z.
-3, 0, 16
Let f(t) be the second derivative of 144/5*t**2 + 1/30*t**4 + 5 + 5*t - 8/5*t**3. Factor f(n).
2*(n - 12)**2/5
Let r(g) = -6*g**2 + 15912*g - 15824484. Let o(c) = -25*c**2 + 63648*c - 63297936. Let w(d) = 2*o(d) - 9*r(d). Factor w(k).
4*(k - 1989)**2
Let x(i) = -i**2 + 2*i + 2. Let h(j) = -2*j**2 + 2044*j - 348845. Let y(n) = h(n) + x(n). Determine u, given that y(u) = 0.
341
Factor 12/5*q**3 - 72/5 + 292/5*q - 232/5*q**2.
4*(q - 18)*(q - 1)*(3*q - 1)/5
Factor -156*t - 6*t + 5*t**5 - 171*t**4 - 386*t**2 - 8*t**5 - 495*t**3 - 103*t**2.
-3*t*(t + 1)**3*(t + 54)
Let a = -229 + 201. Let p(b) = -2*b - 54. Let f be p(a). Solve 16/3*w - 4/9*w**f - 16 = 0 for w.
6
Suppose -24*i + 29*i - 45 = 0. Suppose 11*q - 35 = i. Let -16*r**2 + 47*r**2 - 16*r**2 - r - 12*r**2 - r**q + r**3 - 2 = 0. Calculate r.
-1, 1, 2
Let g = 100979/3738 - 961/1869. Suppose g*l + 0 + 1/2*l**2 = 0. What is l?
-53, 0
Let v(q) be the second derivative of 0 + 0*q**3 - 3*q**5 - 19/4*q**4 - 1/10*q**6 + 7*q + 0*q**2. Factor v(g).
-3*g**2*(g + 1)*(g + 19)
Let s(l) be the first derivative of -5*l**3/3 + 760*l**2 + 1525*l - 291. Factor s(x).
-5*(x - 305)*(x + 1)
Factor -63*p**2 + 256*p - 1/3*p**3 - 772/3.
-(p - 2)**2*(p + 193)/3
Let u(x) = -3*x - 60. Let y be u(-20). Suppose -g + y*g = 3*b - 1, 3*b + 4 = -2*g. Factor 131*z + 134*z + 3*z**b - 277*z - 15.
3*(z - 5)*(z + 1)
Let o(y) be the first derivative of 2*y**7/105 + 3*y**6/5 + 27*y**5/5 + 119*y**2/2 + 17. Let j(n) be the second derivative of o(n). Factor j(b).
4*b**2*(b + 9)**2
Let h(v) = -60*v**2 - 1 - 29*v**2 + 127*v**2 - 32*v**2 + 4 - 66*v. Let w be h(11). Determine m, given that 0*m + 3/2*m**4 - 6*m**w + 0 - 15/2*m**2 = 0.
-1, 0, 5
Suppose -3*r - m = 1752 - 1809, -3*r - 4*m = -66. Suppose -3/2*q**2 - 33/2 + r*q = 0. What is q?
1, 11
Let s(w) be the second derivative of -4/7*w**2 - 1/21*w**3 + 1/84*w**4 - 4*w - 18. Find d such that s(d) = 0.
-2, 4
What is j in 5*j**2 + 3/2*j + 1/2*j**3 - 27 = 0?
-9, -3, 2
Let j be 46/(4/(-6) + 2 + (-2014)/(-159)). Factor 5/7*x**5 + 16/7 + j*x**4 - 32/7*x + 20/7*x**3 - 32/7*x**2.
(x - 1)*(x + 2)**3*(5*x - 2)/7
Suppose -4*c = 91 + 197. Let q = 74 + c. Suppose 3*g**4 - 7*g**4 + 15 - 15 + 4*g**q = 0. Calculate g.
-1, 0, 1
Let -20*z - 1/5*z**5 + 0 + 33*z**2 - 79/5*z**3 + 3*z**4 = 0. Calculate z.
0, 1, 4, 5
Let v = -31 - 5. Let x = 43 + v. Factor -x*u**3 + u**3 + 4*u + 10*u**3 + 8*u**2.
4*u*(u + 1)**2
Let k(m) = -2*m**2 + 33*m - 123. Let d be -2 - (-72)/((-99)/(-11)). Let p be k(d). What is b in 0 + 13/2*b**2 + 3/2*b**4 + 11/2*b**p + 5/2*b = 0?
-5/3, -1, 0
Suppose -26*t = -1554 - 682. Let i = t - 83. Factor -6/7*u**2 + 24/7 - 3/7*u**i + 12/7*u.
-3*(u - 2)*(u + 2)**2/7
Factor -368*z**3 + 2/19*z**4 - 281106368*z + 61421741408 + 482448*z**2.
2*(z - 874)**4/19
Let i(f) be the first derivative of -f**5/660 + f**3/66 - 29*f**2/2 + 13. Let r(g) be the second derivative of i(g). Determine c so that r(c) = 0.
-1, 1
Let k(p) = -2*p**2 + 8*p - 71. Let r(v) = -5*v**2 + 24*v - 211. Let j(m) = 8*k(m) - 3*r(m). Factor j(s).
-(s - 5)*(s + 13)
Let t(y) be the second derivative of 5/14*y**5 - 3/7*y**4 + 0*y**3 - 1/147*y**7 + 3*y + 30 + 0*y**2 - 2/35*y**6. Determine l so that t(l) = 0.
-9, 0, 1, 2
Suppose -76*u + 460 = 5*u + 26*u + 8*u. Solve 1/10*v**u - 9/10*v**2 - 1/2*v - 3/10*v**3 + 0 = 0.
-1, 0, 5
Let k be 142/6 - (249 - 226). Factor -4/3 + k*i**2 + 2/3*i.
2*(i - 1)*(i + 2)/3
Suppose 350*i - 166*i - 175*i = 0. Find s such that i - 1/4*s**2 + 5/4*s = 0.
0, 5
Let t be 342/(-27)*(-300)/(-250) + 17. Factor 26/5*i + 1/5*i**4 + 6/5*i**3 - 24/5*i**2 - t.
(i - 1)**3*(i + 9)/5
Let c be 142/(-15)*33/(-209) + 78/741. Let z be 0 + -2 + 264/120. What is n in 16/5 + z*n**2 - c*n = 0?
4
Let a be 14 - (1958/396*-6 + 22). Determine d so that a*d + 3*d**2 + 14/3 = 0.
-7, -2/9
Let x(d) be the first derivative of -d**6/51 + 8*d**5/85 - 5*d**4/34 + 4*d**3/51 - 277. Factor x(t).
-2*t**2*(t - 2)*(t - 1)**2/17
Suppose -3*b - 6*b = -54. Suppose r = -b*r + 21. Factor -2*d**2 - d**2 - 6*d**3 + 7*d**r.
d**2*(d - 3)
Let w(q) be the first derivative of q**3/15 - 5*q**2 - 51*q/5 + 961. Solve w(n) = 0.
-1, 51
Factor 2/3*v**3 - 448*v**2 + 75264*v + 0.
2*v*(v - 336)**2/3
Suppose 0 = -2*m + 4, 3*d + 34 = m - 40. Let r be d/(-26) - (39 + -39). Determine c, given that -2/13*c**4 + 24/13*c + r*c**3 - 8/13 - 2*c**2 = 0.
1, 2
Let b(n) = 18*n**3 + 197*n**2 - 567*n + 86. Let d(i) = 51*i**3 + 589*i**2 - 1699*i + 257. Let m(r) = -13*b(r) + 4*d(r). Suppose m(z) = 0. Calculate z.
-9, 1/6, 2
Let c(j) be the third derivative of j**5/30 - 113*j**4/12 + 110*j**3 - 134*j**2 + 7. Factor c(t).
2*(t - 110)*(t - 3)
Let j(i) be the first derivative of -21 + 0*i**4 - 1/90*i**5 + 0*i + 1/9*i**3 + 21/2*i**2. Let p(h) be the second derivative of j(h). Factor p(m).
-2*(m - 1)*(m + 1)/3
Solve -3*x**2 + 195 + 965*x - 12*x**2 + 246 + 209 = 0.
-2/3, 65
Suppose 136 = 71*u - 75*u. Let i be u*5/(-50) - 6/15. Factor 2028*d + 10*d**4 + 1888*d**2 + 64 - 1388*d + 1440*d**i + 314*d**4.
4*(d + 2)**2*(9*d + 2)**2
Let g(k) be the second derivative of k**6/315 + 8*k**5/35 + 428*k**4/63 + 320*k**3/3 + 2800*k**2/3 - 14*k + 39. Find o such that g(o) = 0.
-14, -10
Let r(h) be the second derivative of -h + 28/3*h**3 - 14/5*h**5 - 17 + 30*h**2 + 2/15*h**6 - 16/3*h**4. Determine j, given that r(j) = 0.
-1, 1, 15
Let m(d) = d**3 - 7*d**2 + 26*d + 3. Let a be m(5). Solve 61*u**4 - 116*u**3 - 17*u**4 - a*u**5 + 18*u**2 + 71*u**5 - 16*u + 20*u**4 + 62*u**2 = 0 for u.
0, 1/3, 1, 2
Let z(j) be the second derivative of j**2 + 4 + 6*j + 1/30*j**5 + 5/18*j**4 + 7/9*j**3. Factor z(y).
2*(y + 1)**2*(y + 3)/3
Factor -1/5*t**2 - 90*t - 1341/5.
-(t + 3)*(t + 447)/5
Factor 0*h - h**4 + 0*h**2 - 3/4*h**3 - 1/4*h**5 + 0.
-h**3*(h + 1)*(h + 3)/4
Let n(d) be the second derivative of d**7/4200 + d**6/1800 + 35*d**4/12 - 102*d. Let c(g) be the third derivative of n(g). Find x, given that c(x) = 0.
-2/3, 0
Let f(c) be the third derivative of -7*c**6/120 - 31*c**5/12 + 27*c**4/4 + 469*c**2 - 4*c. Solve f(l) = 0 for l.
-162/7, 0, 1
Let u be -2 + (2/(-12) - 3736/(-1680)). Let s(i) be the second derivative of 0*i**3 + 0*i**2 + 0 - 1/28*i**4 - u*i**6 + 20*i - 3/28*i**5. Factor s(a).
-3*a**2*(a + 1)*(4*a + 1)/7
Let r(x) be the second derivative of -x**5/80 - 427*x**4/48 - 15265*x**3/8 - 45369*x**2/8 + 295*x - 2. Factor r(y).
-(y + 1)*(y + 213)**2/4
Suppose -2965*i + 2138*i = -50 - 92 - 1512. Let 2/5*l**4 + 0 - 12/5*l**i + 0*l - 2*l**3 = 0. What is l?
-1, 0, 6
Let i(y) be the second derivative of 15*y + 1/900*y**5 + 0 + 0*y**4 + 16/3*y**3 + 0*y**2 + 1/2700*y**6. Let o(d) be the second derivative of i(d). Factor o(g).
2*g*(g + 1)/15
What is q i