-170)/(-16) + 24/64. Suppose -q + 26 = 5*f. Factor 9*u**f - 9*u**3 - 6*u**3 - 2*u**4 - 4*u**2.
-2*u**2*(u + 1)*(u + 2)
Let o(c) be the third derivative of -5/6*c**5 - 1/15*c**7 + 0*c + 9*c**2 + 19/60*c**6 + 4/3*c**4 + 1/168*c**8 + 0 - 4/3*c**3. Factor o(d).
2*(d - 2)**2*(d - 1)**3
Let z(t) = -8*t**2 + 0 + 10*t**2 - 3*t + 0. Let a be z(2). Factor 0*c**3 - 3*c**4 - a*c**3 - c**3 + 0*c**4.
-3*c**3*(c + 1)
Let n(t) be the third derivative of -t**9/756 + t**8/420 + t**7/210 - t**6/90 + 7*t**3/6 - 3*t**2. Let h(f) be the first derivative of n(f). Solve h(w) = 0.
-1, 0, 1
Let l(z) be the first derivative of -z**6/105 + z**5/70 - z - 14. Let c(q) be the first derivative of l(q). Let c(x) = 0. What is x?
0, 1
Let h(v) be the first derivative of -1/72*v**4 + 0*v**2 + 0*v + 2*v**3 + 0*v**5 + 1 + 1/1080*v**6. Let s(t) be the third derivative of h(t). Factor s(q).
(q - 1)*(q + 1)/3
Factor -192/5*o**2 - 26/5*o**3 - 288/5*o + 0 + o**4 + 1/5*o**5.
o*(o - 6)*(o + 3)*(o + 4)**2/5
Let k(o) be the second derivative of 1/6*o**3 + 0*o**2 + 8*o + 0 - 1/2*o**4. Let k(v) = 0. Calculate v.
0, 1/6
Let z(n) = 10*n - 3. Let p be z(2). Suppose y - 12 = -5*t + p, 15 = 5*y - t. Factor -7*r**4 + 5*r**4 - 3 - y*r**3 + 4*r + 5.
-2*(r - 1)*(r + 1)**3
Let r(w) be the third derivative of -16*w**2 + 5/3*w**3 + 0*w + 1/16*w**5 + 0 + 35/48*w**4. Factor r(x).
5*(x + 4)*(3*x + 2)/4
Let o be 2/8 + (-66)/270. Let t(a) be the third derivative of 1/30*a**5 + 0*a**3 + 0*a + 0 + 1/18*a**4 - 2*a**2 + o*a**6. Factor t(v).
2*v*(v + 1)*(v + 2)/3
Let p(d) be the third derivative of 7/9*d**3 + 0*d + 1/8*d**4 - 26*d**2 + 1/180*d**5 + 0. Determine l, given that p(l) = 0.
-7, -2
Let y(j) be the second derivative of j**5/2 + 35*j**4/12 + 35*j**3/6 + 5*j**2 + 49*j + 4. Solve y(s) = 0.
-2, -1, -1/2
Suppose 0 = 4*y - 0*y + 120. Let v be (-14)/(-4) + 15/y. Factor -24*z + 140 + v*z**2 - 32 - 60.
3*(z - 4)**2
Let u(n) be the first derivative of -5*n**6/6 + 69*n**5/5 - 316*n**4/5 + 584*n**3/5 - 88*n**2 + 144*n/5 - 368. Find p such that u(p) = 0.
2/5, 2, 9
Let g(b) be the first derivative of -b**3/5 + 147*b**2/5 - 7203*b/5 + 851. Solve g(o) = 0.
49
Let 10 + 224*v + 6 + 1193*v**2 - 309*v**2 + 676*v**3 = 0. Calculate v.
-1, -2/13
Suppose 66*h = 62*h + 28. Let p be 2 - (10/3 + -9 + h). Factor -2/3 - 7/3*f**2 + 7/3*f + p*f**3.
(f - 2)*(f - 1)*(2*f - 1)/3
Let s(t) be the second derivative of t**7/63 - t**6/9 + t**5/5 + 2*t**4/9 - 8*t**3/9 + 663*t. Factor s(m).
2*m*(m - 2)**3*(m + 1)/3
Suppose 2*o - 5 + 2*o**4 + 9 - 4*o**3 + 2*o - 6 = 0. Calculate o.
-1, 1
Suppose n + 5*k = 18, -18 = 3*k - 27. Let d(w) be the third derivative of 1/15*w**5 + 0*w + 0*w**n - 1/3*w**4 - 13*w**2 + 0. Factor d(p).
4*p*(p - 2)
Let w = -127 + 129. Let g(v) be the first derivative of -1/5*v**3 + 1 - 3/5*v - 3/5*v**w. Factor g(z).
-3*(z + 1)**2/5
Let b(m) be the third derivative of -1/300*m**5 - 1/1800*m**6 + 0*m + 1/40*m**4 + 0 + 3*m**2 + 5/6*m**3. Let g(r) be the first derivative of b(r). Factor g(h).
-(h - 1)*(h + 3)/5
Determine d so that -404*d + 112 - 177 - 179 + 1376*d + 16*d**2 = 0.
-61, 1/4
Let s(m) = 48*m + 3363. Let f be s(-70). Find o such that 0 + 4*o**f + 0*o + 13/4*o**4 + 1/2*o**5 + 5/4*o**2 = 0.
-5, -1, -1/2, 0
Factor -44/5*l - 2/5*l**2 - 42/5.
-2*(l + 1)*(l + 21)/5
Let k = 3/55 - -43/220. Let x(c) be the second derivative of 0*c**3 + k*c**4 - 1/20*c**5 + 4*c + 0 - 2*c**2. Factor x(q).
-(q - 2)**2*(q + 1)
Let m(x) be the first derivative of -x**6/6 - x**5/2 + 5*x**4/12 + 5*x**3/3 + 16*x - 4. Let g(k) be the first derivative of m(k). Solve g(b) = 0.
-2, -1, 0, 1
Let o be (24/(-10))/(80/(-200)). Let i(k) be the first derivative of 1/12*k**o - 1/4*k**4 + 2 + 0*k**2 + 1/10*k**5 + 0*k + 0*k**3. Let i(v) = 0. What is v?
-2, 0, 1
Let o(c) be the second derivative of 7/4*c**5 + 80*c**3 + 80*c**2 + 0 - 45/2*c**4 - 41*c. Solve o(y) = 0.
-2/7, 4
Let g(k) be the second derivative of -k**4/54 - 11*k**3/27 - 10*k**2/9 - 45*k. Factor g(z).
-2*(z + 1)*(z + 10)/9
Let z(r) be the third derivative of r**6/120 - 17*r**5/20 + 289*r**4/8 - 4913*r**3/6 + 35*r**2. Factor z(g).
(g - 17)**3
Suppose 2*c - 291 = r + 23, -3*c + 489 = 3*r. Let s = 1115/7 - c. Determine j, given that -1/7*j**2 - s + 3/7*j = 0.
1, 2
Solve -100*w**3 + 4*w**5 + w**5 - 15*w**4 + 110*w**3 = 0.
0, 1, 2
Let k(n) = -23*n + 11. Let u be k(-1). Suppose -u + 36 = v. Factor -2/9*a**v + 2/9 + 0*a.
-2*(a - 1)*(a + 1)/9
Let w(u) = 5*u - 4 + u - u**2 + 0 + 8. Let h be w(6). What is o in 4*o**3 + 4*o**2 + 2*o**h - 5*o**2 + 3*o**2 = 0?
-1, 0
Let f = 375 - 180. Let a = -193 + f. Factor 34/7*u - 4/7 - 30/7*u**a.
-2*(u - 1)*(15*u - 2)/7
Suppose -5*t - 5*n + 200 = 0, n = 5*t + 4*n - 202. Solve t*i**2 - 5*i**4 - 2 - 20*i**3 + 2 - 16*i**2 = 0.
-5, 0, 1
Let d = 72 + -68. Let k(w) be the first derivative of -1/9*w**3 + 4 + 0*w - 1/12*w**d + 1/3*w**2. Let k(i) = 0. Calculate i.
-2, 0, 1
Let n be 72/28 - (-9)/21. Suppose l = -h + 2 + 4, n*l - 6 = 0. Let 60*q**3 + q**4 + 13*q**4 + 72*q**2 + 0*q**h + 16*q + 0*q**4 = 0. Calculate q.
-2, -2/7, 0
Let i = 12377/14838 - 2/2473. Let b(z) be the first derivative of -8 - i*z**3 - 2*z**2 - 3/2*z. Factor b(m).
-(m + 1)*(5*m + 3)/2
Let u(x) be the second derivative of 14*x + 2/9*x**3 - 1/6*x**2 - 1/9*x**4 + 0. Factor u(b).
-(2*b - 1)**2/3
Let b(n) = -254*n**3 + 4*n - 4. Let w be b(1). Let i = w - -519/2. Factor -i*m + 9/2*m**4 - 7/2*m**2 - 1 + 11/2*m**3.
(m - 1)*(m + 1)**2*(9*m + 2)/2
Let g(i) be the first derivative of 31 - 8*i - 5*i**2 + 1/4*i**4 - 1/3*i**3. Factor g(d).
(d - 4)*(d + 1)*(d + 2)
Suppose c = 2*n - 2, -2*n + 14 = 3*c - c. Find y, given that -y**n - 4*y**3 + 33 - 5*y**4 + 5*y + 15*y**2 - 25 - 18 = 0.
-2, -1, 1
Factor -14 + 2*r**3 + 6*r**2 + 12*r + 5 + 3*r**4 - 13*r**3 - r**3.
3*(r - 3)*(r - 1)**2*(r + 1)
Suppose 22 = 2*h - 3*j, 3 - 7 = -h - 2*j. Let n(r) be the second derivative of h*r + 0*r**4 + 0*r**3 + 0*r**2 + 0 + 1/90*r**5. Factor n(x).
2*x**3/9
Let n be 60/80 - (-5)/260. Determine q, given that n*q**2 - 6/13*q**3 + 4/13*q + 0 = 0.
-1/3, 0, 2
Let d = 125112/4285 - -2/857. Let y = d + -29. Factor 1/10*s**2 + 1/10 + y*s.
(s + 1)**2/10
Let j(s) = 136*s**2 + 50*s - 4. Let q(g) = -27*g**2 - 10*g + 1. Let p(w) = -2*j(w) - 11*q(w). Factor p(c).
(5*c - 1)*(5*c + 3)
Let x(k) = -2*k**2 - 111*k - 1800. Let d(v) = -4*v**2 - 225*v - 3600. Let r(g) = 3*d(g) - 5*x(g). Factor r(c).
-2*(c + 30)**2
Suppose -178 = -5*g + 42. Suppose 0 = 5*b + 7*a - 3*a - g, -28 = -3*b - 4*a. Solve -10*f**3 + 8*f - b*f**2 + f**2 - 9*f**2 = 0 for f.
-2, 0, 2/5
Let o(i) be the second derivative of -1/50*i**6 + 2/5*i**3 + 17*i + 3/20*i**5 - 2/5*i**4 + 0*i**2 + 0. Let o(t) = 0. Calculate t.
0, 1, 2
Suppose -h + 3*h - 8 = 0. Suppose h*a + 4 = 4*r - 8, -4*a + 6 = 2*r. Factor z**4 - 2*z**r + 4 - 2*z**4 + 7*z**2 - 13*z**2 + 2*z + 3*z**4.
2*(z - 2)*(z - 1)*(z + 1)**2
Solve 1/4*w**2 - 5/2*w + 21/4 = 0 for w.
3, 7
Factor -18*b - b**2 + 15 + 13*b**2 - 7*b**2 - 2*b**2.
3*(b - 5)*(b - 1)
Let n be 67/5 + (-4)/10. Suppose 4*d + 3 - n = 2*b, d - 19 = -5*b. Solve -2*j**2 + 3 + 0 - 8*j - j**2 - d*j + 12*j**3 = 0.
-1, 1/4, 1
Let w be (-25)/(-2)*(-24)/(-15). Let v be (24/w)/(4/10). Determine j, given that -15*j**2 - 1 - j**3 - 8 + 4*j**v + 21*j = 0.
1, 3
Suppose 0 = 4*n - 4*a - 3 - 21, 0 = 3*a. Suppose c - n = -2*c. What is r in 0 + 0*r + 1/2*r**3 + 1/2*r**c = 0?
-1, 0
Let w(f) be the first derivative of -f**4/12 + 2*f**3/9 + 10*f**2/3 + 8*f + 195. Factor w(q).
-(q - 6)*(q + 2)**2/3
Let i = 77623/6 + -12831. Let d = i + -106. Factor 0 - 1/6*m + d*m**2.
m*(m - 1)/6
Suppose -2*z + 14 = 5*d, -61*d + 60*d + 12 = 5*z. Suppose 1/7*p**z + 4/7 - 5/7*p = 0. What is p?
1, 4
Let w(h) be the first derivative of h**5/80 + h**4/48 + 2*h - 13. Let s(a) be the first derivative of w(a). Factor s(n).
n**2*(n + 1)/4
Let s = -19402/5 - -3890. Determine d, given that -72/5*d**2 - s*d**3 - 3/5 - 27/5*d = 0.
-1, -1/4
Suppose 0 = 2*x + 4*o - 16 - 8, 3*o - 5 = 5*x. Let -112*y**2 + 34*y**2 - 30*y**x - 2 + 36*y - 1 = 0. Calculate y.
1/6
Let o(m) be the second derivative of -62/15*m**5 + 21*m - 20/9*m**4 + 0 - 86/45*m**6 - 2/7*m**7 + 0*m**2 + 16/9*m**3. Determine b, given that o(b) = 0.
-2, -1, 0, 2/9
Find v such that -3*v - 4*v**2 - 3*v - v**3 + 2*v**3 + v = 0.
-1, 0, 5
Let q = 75/47 - 103/94. Determine u, given that -q*u*