28*p**3 - 5*p**2 - 270*p. Factor o(r).
3*(r + 16)**2
Let t be ((-1)/(-4))/((-3)/12)*-89. Let k = -87 + t. Factor 2*i**2 - 10*i + 0*i**k + 6*i - 4*i**2.
-2*i*(i + 2)
Let d(y) be the first derivative of -11*y**4/12 + 37*y**3/6 - 6*y**2 - 228*y + 157. Let s(a) be the first derivative of d(a). Factor s(h).
-(h - 3)*(11*h - 4)
Let b(a) be the third derivative of 72*a**2 - 1/2*a**3 + 0*a + 0 + 1/30*a**6 - 1/6*a**4 + 1/30*a**5 + 1/210*a**7. Determine i, given that b(i) = 0.
-3, -1, 1
Let i(d) = -7*d**2 - 1302*d - 215133. Let s(m) = 4*m**2 + 650*m + 107563. Let q(r) = -3*i(r) - 5*s(r). Solve q(n) = 0.
-328
Let i(b) be the third derivative of -b**8/141120 + b**7/8820 - b**6/1680 - b**5/30 + 13*b**4/6 + 99*b**2. Let x(z) be the third derivative of i(z). Factor x(w).
-(w - 3)*(w - 1)/7
Let q(b) = -19*b**5 - 38*b**4 - 39*b**3 + 80*b**2 + 8*b. Let h(p) = 12*p**5 + 25*p**4 + 26*p**3 - 53*p**2 - 5*p. Let z(l) = -8*h(l) - 5*q(l). Factor z(a).
-a**2*(a - 1)*(a + 3)*(a + 8)
Let i(g) be the second derivative of 0*g**2 - 5/6*g**3 - 25/12*g**4 + 0 + 19*g. Factor i(f).
-5*f*(5*f + 1)
Let w(y) be the first derivative of -8*y**5/25 - 201*y**4/10 + 2068*y**3/15 - 609*y**2/5 - 88*y - 4008. Let w(h) = 0. Calculate h.
-55, -1/4, 1, 4
Solve 41852*g**2 - 6008*g**2 - 1900*g**3 + 12*g**4 - 51200 + 26072*g**2 - 4059*g**2 + 129280*g + 15735*g**2 = 0.
-2, 1/3, 80
Let o be (-2 + -12)/(13/(-78)). Suppose -51*j - 2187 + o*j + 129*j - 3*j**2 = 0. Calculate j.
27
Factor 2*u**2 + 4782*u + 5*u**2 - 3*u**2 + 2921*u + 1753*u.
4*u*(u + 2364)
Suppose 26*n = -379*n + 2025. Factor -5/2*o**5 - n*o**2 + 15/2*o**3 + 0*o**4 + 0*o + 0.
-5*o**2*(o - 1)**2*(o + 2)/2
Let g(l) be the second derivative of l**4/4 - 387*l**3 + 449307*l**2/2 - 428*l. Determine b, given that g(b) = 0.
387
Let l(n) be the third derivative of n**6/480 - 13*n**5/240 - 2*n**4/3 - 17*n**3/6 - n**2 + 9*n - 186. Find v such that l(v) = 0.
-2, 17
Let l(u) be the third derivative of -5*u**8/1008 - u**7/63 + u**6/12 + 2*u**5/9 - 25*u**4/72 - 5*u**3/3 - 413*u**2. Find i, given that l(i) = 0.
-3, -1, 1, 2
Let -1766*r + 553*r - 39*r**2 + 831*r + 2*r**3 - 378 - 15*r**2 + 652*r = 0. Calculate r.
3, 21
Let f(s) be the first derivative of s**6/180 + s**5/45 - s**4/12 + 25*s**2/2 + s - 58. Let c(r) be the second derivative of f(r). Find k, given that c(k) = 0.
-3, 0, 1
Let u(z) = -2*z**3 + 8*z**2 + 34*z + 17. Let l be u(-7). Let t = l - 857. Factor 0*k + 1/2*k**2 - 1/2*k**5 - 1/2*k**4 + 1/2*k**3 + t.
-k**2*(k - 1)*(k + 1)**2/2
Suppose 204 + 80/3*p**2 - 142*p - 2/3*p**3 = 0. Calculate p.
3, 34
Suppose -93 = 3*f - 618. Let l be (20/(-14))/(f/(-490)). Factor 0 - 4/7*q**2 - 8/7*q + 8/7*q**3 + 4/7*q**l.
4*q*(q - 1)*(q + 1)*(q + 2)/7
Let r be ((-122)/(-18) - 7)/(4/(-36)). Let k = 2894/5 + -578. Factor 8/5*m - 8/5*m**3 + 0*m**r - 4/5*m**4 + k.
-4*(m - 1)*(m + 1)**3/5
Let j(y) = 2*y**2 - y. Let n(t) = -3*t + 5*t - 4 - 4*t**2 + 0*t + 13*t**2. Let z(u) = -6*j(u) + n(u). Solve z(x) = 0 for x.
2/3, 2
Let z(x) be the third derivative of x**6/140 - 13*x**5/21 + 289*x**4/84 - 82*x**3/21 + 8060*x**2. Factor z(n).
2*(n - 41)*(n - 2)*(3*n - 1)/7
Let l(n) be the first derivative of n**4/20 - 8*n**3/15 + 7*n**2/10 - 1149. Find i such that l(i) = 0.
0, 1, 7
Factor 2/9*o**2 + 1/9*o**3 - 2/3 - 5/9*o.
(o - 2)*(o + 1)*(o + 3)/9
Let g(i) be the first derivative of -28/15*i**3 + 1/15*i**6 - 3/5*i**4 - 6/5*i + 2/25*i**5 + 1 - 11/5*i**2. Let g(q) = 0. What is q?
-1, 3
Let n(i) be the first derivative of i**6/6 - 4*i**5 - 3*i**4/2 + 112*i**3/3 + 157*i**2/2 + 60*i - 1612. Factor n(s).
(s - 20)*(s - 3)*(s + 1)**3
Let x(y) be the third derivative of -y**8/30240 + y**7/1080 + y**6/60 + 41*y**5/30 - 78*y**2. Let b(z) be the third derivative of x(z). Factor b(g).
-2*(g - 9)*(g + 2)/3
Suppose 18496/7 + 18768/7*b + 39*b**2 + 1/7*b**3 = 0. Calculate b.
-136, -1
Let j be ((-9)/(-45))/((-12)/(-20)). Suppose -2*b = 4*f + 10, 4*b = -0*b - 5*f - 5. Factor -5/3*c**3 + j*c**4 + 0 + 0*c + 1/3*c**b + c**2.
c**2*(c - 1)**2*(c + 3)/3
Factor 8/5*n**2 - 3378/5 - 4498/5*n.
2*(n - 563)*(4*n + 3)/5
Let q(v) = -241*v**2 - 380*v - 3559. Let a(k) = 44*k**2 + 76*k + 712. Let s(x) = -11*a(x) - 2*q(x). Factor s(w).
-2*(w + 17)*(w + 21)
Suppose -20*c - 90 = -350. Suppose 33 - 7 = c*d. Factor -1/2*g**d + 1/2*g + 1.
-(g - 2)*(g + 1)/2
Suppose 0 = 5*b - 30 + 5, 5*n + 5*b + 2055 = 0. Let o = n + 418. Factor 74/3*k**2 + 24 - o*k**3 - 80*k.
-2*(k - 6)**2*(3*k - 1)/3
Let n = 327 + -317. Let b be ((-2)/2)/(n/(-30)). Factor 0 + 1/4*r**b - 1/2*r**2 + 1/4*r.
r*(r - 1)**2/4
Let a(y) = y**2 - 1. Let m(p) be the third derivative of -7*p**5/60 - p**4/4 + 13*p**3/6 + p**2 + 21. Let i(j) = 18*a(j) + 2*m(j). Factor i(s).
4*(s - 2)*(s - 1)
Let o(s) be the second derivative of -s**6/165 + s**5/110 + s**4/66 - s**3/33 - 504*s + 4. Factor o(f).
-2*f*(f - 1)**2*(f + 1)/11
Let w be -3*(21 - (-3230)/(-153)). Let t(c) be the first derivative of -4*c - 3/2*c**2 + w*c**3 + 8. Suppose t(y) = 0. What is y?
-1, 4
Let n(h) be the third derivative of -h**6/60 + 17*h**5/10 - 59*h**4/3 + 92*h**3 + 6*h**2 + 739. Factor n(x).
-2*(x - 46)*(x - 3)*(x - 2)
Suppose 22/3*h**3 + 0 - 4/3*h + 8/3*h**4 + 10/3*h**2 = 0. What is h?
-2, -1, 0, 1/4
Let w(j) be the third derivative of j**8/560 - 9*j**7/350 + 4*j**6/25 - 14*j**5/25 + 6*j**4/5 - 8*j**3/5 + 3*j**2 - 6*j + 22. Factor w(z).
3*(z - 2)**4*(z - 1)/5
Factor 8/5*z - 506/15 + 2/15*z**2.
2*(z - 11)*(z + 23)/15
Let b = 277/33 - 63/11. Let l(t) = -t**2 - 58*t + 530. Let y be l(8). Suppose b + 2/3*d**y - 8/3*d = 0. Calculate d.
2
Let n(y) = -y**2 + 5*y - 20. Let q(s) = -3*s**2 + 14*s - 41. Let p(i) = 5*n(i) - 2*q(i). Factor p(u).
(u - 6)*(u + 3)
Let p(l) be the first derivative of 5*l**2 - 8/3*l**3 - 2 - 1/60*l**5 - 1/3*l**4 + 0*l. Let k(j) be the second derivative of p(j). Factor k(r).
-(r + 4)**2
Let l be -21 - (-108)/12 - -12. Let b(x) be the second derivative of -18*x + 0 + 1/4*x**4 + l*x**2 - 1/2*x**3. Find n, given that b(n) = 0.
0, 1
Let y(x) = 2*x**4 - x**3 + 3*x**2 + x. Let q(d) = -5*d**4 + 2136*d**3 + 1514415*d**2 + 356381629*d - 1082832384. Let i(l) = -q(l) - 3*y(l). Factor i(c).
-(c - 3)*(c + 712)**3
Suppose 14*x + 9*x = 7*x - 17*x. Let o(t) be the second derivative of x*t**2 - 1/10*t**5 + 11*t + t**3 + 0 + 1/3*t**4. Determine s so that o(s) = 0.
-1, 0, 3
Let a be 3 + (-421)/(-1684)*(-2)/(4/6). Let k be 2 + -3*(-2)/(-3). Factor 27/4*t**2 + a*t**4 - 1/4*t**5 - 27/4*t**3 + k*t + 0.
-t**2*(t - 3)**3/4
Let j(c) be the first derivative of 0*c - 7/3*c**3 + 0*c**4 - 1/30*c**5 - 1/54*c**6 + 2 + 0*c**2. Let w(n) be the third derivative of j(n). Factor w(u).
-4*u*(5*u + 3)/3
Let q(k) = -18*k**2 + 988*k - 5697. Let i(z) = -2*z**2 + 124*z - 712. Let r(l) = 17*i(l) - 2*q(l). Factor r(a).
2*(a - 5)*(a + 71)
Let o be 10/18*999/222. Let z(u) be the first derivative of -5/6*u**6 + 5/2*u**4 - u**5 - 5*u - 17 - o*u**2 + 10/3*u**3. What is k in z(k) = 0?
-1, 1
Let l(n) be the second derivative of -7/27*n**3 + 208*n + 0 - 7/54*n**4 - 1/45*n**5 - 2/9*n**2. Suppose l(v) = 0. Calculate v.
-2, -1, -1/2
Let u(d) = -29*d**3 + 2*d**2 + 10*d + 9. Let i(f) = -6*f**3 - f**2 - f. Let x(n) = 5*i(n) - u(n). Solve x(t) = 0.
-3, -1
Let 202/5*o**4 + 0 + 972/5*o**3 + 6/5*o**5 + 112*o**2 + 0*o = 0. What is o?
-28, -5, -2/3, 0
Let t(x) be the third derivative of x**6/120 - x**5/30 - x**4/3 - 10*x**2 + 103. Solve t(b) = 0 for b.
-2, 0, 4
Let i = -265 - 44. Let v = i - -321. Solve -16 - 3*y**2 - 1/4*y**3 - v*y = 0 for y.
-4
Let g(r) be the first derivative of r**3/5 - 16*r**2/5 + 69*r/5 - 11745. Factor g(v).
(v - 3)*(3*v - 23)/5
Let z(s) = 164*s + 125. Let i be z(11). Find c such that -i*c**4 + 22*c - 80*c**2 + 5*c**5 + 1949*c**4 - 102*c = 0.
-2, 0, 2
Let g be ((-1)/3)/(10/60). Let h be (g + 16/12)/((-100)/30). Suppose h*p**2 - 6/5 - 1/5*p = 0. What is p?
-2, 3
Factor 1/5*p**4 - 12/5 + 11/5*p**2 + 13/5*p**3 - 13/5*p.
(p - 1)*(p + 1)**2*(p + 12)/5
Suppose -4*z + 2*u = -42, -7 = -4*z + 5*u + 20. Let p(y) be the first derivative of z - 8/3*y**3 + 0*y**2 + 7*y**4 + 0*y - 12/5*y**5. What is k in p(k) = 0?
0, 1/3, 2
Let l(a) be the third derivative of -a**8/26880 + a**7/5040 - a**6/2880 - 23*a**4/12 - 42*a**2. Let u(s) be the second derivative of l(s). Factor u(f).
-f*(f - 1)**2/4
Let h(p) be the third derivative of -p**6/150 +