 first derivative of l(b). Factor r(d).
-d**2*(d - 2)**2*(d - 1)/5
Let o = 146 - 230. Let g be 2/(-7) - 1389/o. Factor 0 - 15*t**2 + 5*t - 15/2*t**4 + 5/4*t**5 + g*t**3.
5*t*(t - 2)**2*(t - 1)**2/4
Let i(p) be the third derivative of -p**6/600 - p**5/10 - 8*p**4/5 + 256*p**3/15 - 796*p**2. Factor i(k).
-(k - 2)*(k + 16)**2/5
Let -41*y + 1243*y**3 - 19*y**2 - 2492*y**3 + 1250*y**3 - 21 = 0. What is y?
-1, 21
Suppose 5 + 11 = 4*m. Let w(i) = -i**2 + 17. Let c be w(m). Factor c + 5/2*u + u**2.
(u + 2)*(2*u + 1)/2
Find k such that -6/11*k**2 + 0*k + 54/11 = 0.
-3, 3
Let j(v) be the first derivative of 11*v**6/90 + 2*v**5/3 - 2*v**4/3 + 31*v**3/3 - 28. Let f(b) be the third derivative of j(b). Suppose f(z) = 0. What is z?
-2, 2/11
Determine c so that -165/4 + 3/4*c**2 - 9/2*c = 0.
-5, 11
Let l(k) be the second derivative of 0*k**3 - 8/3*k**4 + 0*k**2 + 18/5*k**5 + 2/3*k**6 + 1 - 2*k. Factor l(u).
4*u**2*(u + 4)*(5*u - 2)
Suppose 50*v = 11*v. Let -2/5*j**2 - 6/5*j + v = 0. What is j?
-3, 0
Let f(r) be the second derivative of 5*r**4/12 - 25*r**3/6 - 35*r**2 - 53*r. Factor f(t).
5*(t - 7)*(t + 2)
Let o = 6189/200 + -247/8. Let c(r) be the third derivative of -1/20*r**4 + 0 + 0*r + 0*r**3 - 1/40*r**6 - o*r**5 - 8*r**2. Factor c(n).
-3*n*(n + 1)*(5*n + 2)/5
Suppose -2/7 + 0*j + 2/7*j**2 = 0. What is j?
-1, 1
Let s(l) be the second derivative of -l**7/7560 - l**6/720 - 7*l**4/12 - 3*l. Let b(v) be the third derivative of s(v). Let b(r) = 0. What is r?
-3, 0
Let d be 35/70*404/10. Let s = -20 + d. Solve s*k**2 + 0*k + 0 = 0 for k.
0
Let l(n) be the third derivative of -n**7/105 + n**6/60 + 13*n**5/30 - 25*n**4/12 + 4*n**3 + 18*n**2 - 6*n. Solve l(c) = 0.
-4, 1, 3
Suppose 1298 - 1298 = 39*b. Factor -9/5*m**3 + 0 + b*m - 3*m**4 + 6/5*m**2.
-3*m**2*(m + 1)*(5*m - 2)/5
Let v = 49 + -129. Let g be (-3)/5 + (-108)/v. Factor -g*m + 1/2 + 1/4*m**2.
(m - 2)*(m - 1)/4
Let n(a) be the first derivative of -a**3/18 - a**2/4 - 2. Factor n(b).
-b*(b + 3)/6
Let q = 357 - 353. Let c(a) be the second derivative of -1/14*a**q + 0 - 6*a - 1/70*a**5 - 2/21*a**3 + 0*a**2. Let c(d) = 0. Calculate d.
-2, -1, 0
Let v(n) = n**3 - 14*n**2 + 14*n - 9. Let h be v(13). Factor 71*s**2 - 3*s - 34*s**2 - 6*s**h - 31*s**2 - 2*s**3 + 5*s**3.
-3*s*(s - 1)*(s + 1)*(2*s - 1)
Let r = 439636/5 + -88257. Let z = r - -331. Find u such that 24/5 + 0*u**4 - z*u**2 - 21/5*u**3 + 3/5*u**5 + 36/5*u = 0.
-2, -1, 2
Let m = -16 - -22. Let j(r) = 4*r**2 - 10*r**2 + 9*r**2 - m*r + 3. Let p(d) = 3*d**2 - 6*d + 3. Let u(v) = 3*j(v) - 4*p(v). What is s in u(s) = 0?
1
Let q(i) = 110*i**5 - 175*i**4 + 265*i**2 - 110*i - 45. Let c(n) = 5*n**5 - 8*n**4 + 12*n**2 - 5*n - 2. Let z = 43 + 2. Let v(x) = z*c(x) - 2*q(x). Factor v(d).
5*d*(d - 1)**3*(d + 1)
Factor 0 + 10/3*c**3 + 8/9*c - 14/9*c**4 + 2/9*c**5 - 26/9*c**2.
2*c*(c - 4)*(c - 1)**3/9
Let v(x) = x**3 - 18*x**2 - 19*x - 2. Let b be v(19). Let q be ((-395)/40 - -10)*b/(-1). Factor -f + 0 - q*f**3 - f**2.
-f*(f + 2)**2/4
Let y = 22 + -20. Factor q - q**4 + 0*q + q - 2*q**3 + 0*q + q**y.
-q*(q - 1)*(q + 1)*(q + 2)
Let g(w) = -6*w**2 - 13*w + 7. Let h(i) = -7 + 1 + 3*i**2 + 7*i + 2. Let v(x) = 4*g(x) + 7*h(x). Factor v(a).
-3*a*(a + 1)
Let d(s) be the third derivative of -s**5/80 - s**4/4 - 3*s**3/2 - 3*s**2 + 30. Factor d(u).
-3*(u + 2)*(u + 6)/4
Let t(z) be the first derivative of 4*z**5/5 - 15*z**4 + 166. Suppose t(b) = 0. What is b?
0, 15
Let d(p) = 7*p**2 + 364*p + 11. Let b be d(-52). Let w(l) be the first derivative of -4*l - b - 2*l**2 + 4/3*l**3 + l**4. Factor w(z).
4*(z - 1)*(z + 1)**2
Let c = -1/1391 - -1556/229515. Let k(t) be the third derivative of -1/33*t**4 - 1/330*t**5 + 5*t**2 + c*t**6 + 0*t + 1/33*t**3 + 0. Factor k(r).
2*(r - 1)*(r + 1)*(4*r - 1)/11
Factor 54*f**2 - 24*f**3 - 8*f**2 - 11*f**3 - 6*f**2 - 5*f**4.
-5*f**2*(f - 1)*(f + 8)
Let w = -254 + 256. Let b(d) be the second derivative of 0*d**4 + 1/75*d**6 - 5*d + 0 + 1/25*d**5 - 1/5*d**w - 2/15*d**3. Let b(y) = 0. Calculate y.
-1, 1
Let i(z) be the second derivative of -z**5/90 - 2*z**4/3 - 16*z**3 - 192*z**2 - 25*z - 2. Factor i(v).
-2*(v + 12)**3/9
Let o = 12422/5 - 2484. Suppose 0 + 0*d + o*d**2 = 0. What is d?
0
Suppose 44/7*b + 10/7*b**2 - 30/7 = 0. What is b?
-5, 3/5
Let i = 43 - 43. Suppose i*q - 3*q**2 + 2*q - 12*q + q = 0. Calculate q.
-3, 0
Let p(n) be the first derivative of -19*n**4/2 + 10*n**3 + 4*n**2 + 78. What is j in p(j) = 0?
-4/19, 0, 1
Factor 6/5 - 2/5*d**3 - 6/5*d**2 + 2/5*d.
-2*(d - 1)*(d + 1)*(d + 3)/5
Let -1682/15 - 2/15*x**2 + 116/15*x = 0. What is x?
29
Let u(j) = j**3 - 9*j**2 + 3. Let f be u(9). Suppose -f*i**2 + 10 - 3 - 5 - 5 - 6*i = 0. Calculate i.
-1
Let y(n) = n + 13. Let u be y(-10). Let 3*q + 0*q + q - u*q**2 + q**2 = 0. What is q?
0, 2
Let c(a) be the third derivative of -a**7/70 + 3*a**6/20 - a**5/4 - 58*a**2. Factor c(j).
-3*j**2*(j - 5)*(j - 1)
Solve 0*q - 2/5*q**4 + 36/5*q**3 + 0 + 16*q**2 = 0 for q.
-2, 0, 20
Suppose 3*x = -4*b + 4, 5*b - 32 = -18*x + 21*x. Factor -54*r**2 + 1/5*r**5 - 3*r**b + 81*r + 18*r**3 - 243/5.
(r - 3)**5/5
Let k(p) = 16*p**2 - 9*p + 23. Let i be k(3). Let b be ((-468)/i + 3)/(8/(-60)). What is y in 10/7*y - 32/7*y**2 + b*y**3 + 4/7 = 0?
-2/9, 1
Let r be (22/(-4) + 5)*((-2)/(-4) + -1). Let 3/4 - r*q**2 + 1/2*q = 0. Calculate q.
-1, 3
Let k be (-1*5/2)/((-1)/2). Let z(s) be the third derivative of -1/180*s**k + 0 - 2*s**2 + 0*s**3 + 0*s - 1/720*s**6 - 1/144*s**4. Let z(m) = 0. What is m?
-1, 0
Let i(u) be the first derivative of u**6/9 + 4*u**5/15 - u**4/2 + 7. Factor i(m).
2*m**3*(m - 1)*(m + 3)/3
Let z(d) be the second derivative of -d**6/600 + d**5/150 - 29*d**2/2 + 6*d + 7. Let j(x) be the first derivative of z(x). Factor j(s).
-s**2*(s - 2)/5
Let k = 2069 - 6199/3. Find c, given that -4/3*c**3 + k*c**2 + 1/6*c**4 + 0 + 0*c = 0.
0, 4
Let c(o) be the first derivative of o**5 - 5*o**4/4 + 2. Factor c(n).
5*n**3*(n - 1)
Let p(i) = -2*i**2 - i - 2. Let v(s) = 12*s**2 - 128*s - 356. Let q(f) = 8*p(f) + v(f). Factor q(d).
-4*(d + 3)*(d + 31)
Suppose 0*p + 4*t - 29 = -3*p, t - 11 = -2*p. Let n(z) = z**3 - 4*z**2 + 4*z - 3. Let u be n(p). Factor u + 1/3*q**2 + 0*q.
q**2/3
Let x(v) be the second derivative of -3*v**5/50 - 9*v**4/20 - v**3 - 9*v**2/10 - 100*v. Let x(y) = 0. Calculate y.
-3, -1, -1/2
Let c(p) be the second derivative of p**8/2310 - 3*p**7/1540 + p**6/990 + 2*p**3 + 14*p. Let m(o) be the second derivative of c(o). Factor m(d).
2*d**2*(d - 2)*(4*d - 1)/11
Let z(x) be the second derivative of -2*x**6/15 - x**5 - 2*x**4 - 223*x. Determine b so that z(b) = 0.
-3, -2, 0
Let b(v) = -v**3. Let w = -38 + 32. Let n(k) = -3*k**3 + 3*k - 2. Let j(a) = w*b(a) + 3*n(a). Suppose j(x) = 0. Calculate x.
-2, 1
Let n be 12/8*(-5)/10*(-64)/36. Let i be 2/(-2) + (-10)/(-6). Factor i*u + n*u**2 - 2/3*u**3 - 4/3.
-2*(u - 2)*(u - 1)*(u + 1)/3
Let r = -35359/2 + 17683. Factor -r*c**4 - 10*c**2 + 0 - 9*c**3 - 1/2*c**5 - 4*c.
-c*(c + 1)*(c + 2)**3/2
Let i(r) be the third derivative of r**7/210 - r**6/90 - r**5/5 + 4*r**4/3 - 32*r**3/9 - 333*r**2. Factor i(o).
(o - 2)**2*(o + 4)*(3*o - 4)/3
Let g(c) = 5*c**2 - 14. Let x(a) be the third derivative of -27*a**5/20 + 75*a**3/2 - 23*a**2. Let w(n) = -33*g(n) - 2*x(n). Factor w(b).
-3*(b - 2)*(b + 2)
Let n(d) be the first derivative of d**9/15120 - d**8/2100 + d**7/840 - d**6/900 - 19*d**3/3 - 34. Let o(s) be the third derivative of n(s). Factor o(l).
l**2*(l - 2)*(l - 1)**2/5
Let g be (-5)/(-11 - 51/(-6)). Determine q so that 0*q**g + 2/3*q + 1/3*q**4 - 1/3 - 2/3*q**3 = 0.
-1, 1
Determine y so that 86*y - 6960 - 390*y - 2*y**2 + 1314 - 5906 = 0.
-76
Suppose 3*k + 10 = 4*i, -k + 1 - 4 = -i. Let j be (k - 1/(-4))/((-1)/2). Find l, given that -l + 0 + j*l**3 - 5/2*l**2 = 0.
-2/7, 0, 1
Let i(h) be the third derivative of -h**5/12 + 5*h**4/4 + 35*h**3/6 - 106*h**2. Factor i(o).
-5*(o - 7)*(o + 1)
Let w(v) = 7*v - 215. Let y be w(31). Factor 0*c + 2/7*c**y + 0.
2*c**2/7
Suppose -4*b + 44 = 16. Suppose 0 = -2*x + b - 1. Factor -6*m**2 - 2*m - 2*m**x - 7*m**2 + 9*m**2.
-2*m*(m + 1)**2
Let s(o) be the first derivative of -o**6/600 + o**5/50 - o**4/10 + 23*o**3/3 - 11. Let u(k) be the third derivative of s(k). Factor u(l).
-3*(l - 2)**2/5
Let c(i) be the third derivative of -i**8/4480 + i**7/560 + i**4/