*3 - 9*z**3 - 11*z**3.
3*z*(z - 3)*(z - 1)
Let q = -19/645 + 7/43. Let i(z) be the first derivative of 0*z**2 + q*z**3 - 9 - 2/5*z. Factor i(n).
2*(n - 1)*(n + 1)/5
Let o(t) be the first derivative of 13/11*t**2 + 17/22*t**4 - 16/11*t**3 - 14 - 4/11*t - 8/55*t**5. Suppose o(s) = 0. What is s?
1/4, 1, 2
Suppose 2*t + 2*n = -3*n + 78, 4*n = 5*t - 228. Let l(f) = f**2 - f. Let g(z) = -24*z**2 + 2*z - 50. Let p(q) = t*l(q) + 2*g(q). Factor p(s).
-4*(s + 5)**2
Let t be 1 - 6/((-30)/5). Let m(b) be the first derivative of -1/2*b**3 + 1/2*b**t + 0*b - 4 + 1/8*b**4. Find o, given that m(o) = 0.
0, 1, 2
Let b(o) = -4*o**2 - 9*o - 1. Let h(z) = -z**2 - 3*z. Let m = 14 + -16. Let i(u) = m*b(u) + 7*h(u). Find y, given that i(y) = 0.
1, 2
Let l be 10*(-25)/(-210) - 14/42. Factor 20/7 - 2/7*g**2 + l*g.
-2*(g - 5)*(g + 2)/7
Suppose -p + 10 = 5*y + 4, 18 = 3*y - 3*p. Factor 6*h**y + 7*h + 3*h**3 - 7*h.
3*h**2*(h + 2)
Let v = 14 + -16. Let o be v/(-8) - 135/(-36). Factor -6*d**2 + 5*d**o + 3*d**2 - 5*d + 5*d**3 - 2*d**2.
5*d*(d - 1)*(d + 1)**2
Solve 384/5*u - 144/5 + 4/5*u**5 + 12/5*u**3 + 36/5*u**4 - 292/5*u**2 = 0 for u.
-6, 1
Let i(v) = -18*v - 126. Let l be i(-7). Factor -4/3*c**3 + 8/3*c**2 + l*c + 0.
-4*c**2*(c - 2)/3
Let f(z) = -z**3 - 7*z**2 - 7*z + 4. Let s be f(-6). Let o be 52/s - 4/20. Let 5*d**3 + 3*d**3 - 12*d**o - 20*d**4 - 16*d**5 = 0. What is d?
-1, 0, 2/7
Let g(l) = -7*l**2 - 19*l - 25. Let m(n) = -n**2 - 3*n - 4. Let h(u) = 6*g(u) - 39*m(u). Determine b so that h(b) = 0.
-1, 2
Let t(m) = -12*m + 170. Let y be t(14). Let f(j) be the third derivative of -y*j**2 + 1/12*j**3 + 0*j + 0 - 1/240*j**5 - 1/96*j**4. Find l such that f(l) = 0.
-2, 1
Let r(d) = -d**3 + 6*d**2 - 6*d + 8. Let w be r(5). Suppose 28*v**w - 27*v**4 - 20 + 22*v**4 - 60*v - 65*v**2 - 58*v**3 = 0. Calculate v.
-2, -1
Let t(m) = -4*m**3 + 76*m**2 - 249*m + 268. Let g(a) = 4*a**3 - 76*a**2 + 250*a - 264. Let o(v) = -7*g(v) - 6*t(v). Factor o(n).
-4*(n - 15)*(n - 2)**2
Let a(o) be the second derivative of o**7/2520 - 7*o**6/2160 + o**5/240 + 11*o**3/6 - 6*o. Let d(p) be the second derivative of a(p). Factor d(u).
u*(u - 3)*(2*u - 1)/6
Suppose -28*u = -19*u - 36. Let i(l) be the third derivative of 0*l - 4/3*l**3 + 1/3*l**5 + 0 - 1/2*l**u + 4*l**2. Determine j, given that i(j) = 0.
-2/5, 1
Let h = -12 + 27. Factor -4*v**2 - 5*v**3 - v**2 + 2*v**2 + h*v - 7*v**2.
-5*v*(v - 1)*(v + 3)
Let i(c) be the first derivative of -c**5/16 + 3*c**4/8 - c**3/2 - 23*c**2/2 - 10. Let g(h) be the second derivative of i(h). Factor g(o).
-3*(o - 2)*(5*o - 2)/4
Let c(f) be the first derivative of -f**5/90 - f**4/36 + 2*f**3/9 + 4*f**2 - 17. Let i(q) be the second derivative of c(q). Factor i(a).
-2*(a - 1)*(a + 2)/3
Let j(r) be the first derivative of r**7/42 - r**6/30 - r**5/20 + r**4/12 - 13*r + 18. Let f(o) be the first derivative of j(o). Factor f(y).
y**2*(y - 1)**2*(y + 1)
Factor -1/5*h**2 + 3/5 - 2/5*h.
-(h - 1)*(h + 3)/5
Let z(x) be the second derivative of 1/30*x**5 + 0 - 1/30*x**6 + 1/18*x**4 + 1/126*x**7 + 1/6*x**2 - 1/6*x**3 - x. Solve z(f) = 0.
-1, 1
Let z = 107 + -93. Let l be (z/(-6))/(8/(-12)). Solve 5/2*d + l*d**2 - 1 = 0.
-1, 2/7
Let m(g) = -14*g - 26. Let c be m(-2). Let t(r) be the first derivative of -1/5*r**3 + 0*r + 2 + 3/10*r**c. Solve t(z) = 0.
0, 1
Let q(u) be the first derivative of 2*u**3/57 - 60*u**2/19 + 1800*u/19 - 75. Factor q(g).
2*(g - 30)**2/19
Let q(a) be the second derivative of -a**3/6 + 11*a**2/2 + a. Let o be q(9). Factor -7 + 2*x**o + 7.
2*x**2
Let b be 578/204 + -3 + (-16)/(-6). Factor 0*x**2 + 2*x**5 + 1/2*x**3 - b*x**4 + 0 + 0*x.
x**3*(x - 1)*(4*x - 1)/2
Factor 187 - 44*u + 179*u + 354*u**2 - 351*u**2 - 55.
3*(u + 1)*(u + 44)
Let k be (-23)/(-46)*(8 - 0). Let q(b) be the first derivative of 7 + 3/10*b**k + 0*b**3 - 1/5*b**2 + 0*b + 4/25*b**5. Suppose q(g) = 0. Calculate g.
-1, 0, 1/2
Let z = -23/3 - -9. Let d(y) be the first derivative of -1 - 7/9*y**3 - 2*y**2 + z*y. Factor d(n).
-(n + 2)*(7*n - 2)/3
Suppose 13*m - 24011 = -23972. Factor -7/2*i - 1 - 3/2*i**m - 4*i**2.
-(i + 1)**2*(3*i + 2)/2
Suppose -9*h - 10 = -46. Factor -4*b**4 + b**5 + 7*b**4 + b**4 - 2*b**5 - h*b**3.
-b**3*(b - 2)**2
Let t(j) be the second derivative of j**5/10 + j**4/6 - 8*j**3/3 - 12*j**2 - j - 5. Factor t(p).
2*(p - 3)*(p + 2)**2
Let x(l) = l**2 - 8*l - 7. Let s be x(9). Suppose -s*m + 2 = -m. Determine n so that 0*n**m + 2*n**3 - 2*n - 2*n**2 + 2*n**2 - 2 + 2*n**2 = 0.
-1, 1
Factor -18*t**2 + 0*t**4 + 28*t**3 - 4*t**2 - 28*t - 14*t**2 + 4*t**4 + 32.
4*(t - 1)**2*(t + 1)*(t + 8)
Let s be 12768/380*6/4. Find i such that 72/5*i + s*i**3 - 218/5*i**2 - 8/5 - 98/5*i**4 = 0.
2/7, 1
Let c = 3614 - 7225/2. Let -27/4*t**2 - 21/4*t**3 - c*t + 0 = 0. Calculate t.
-1, -2/7, 0
Let j(o) = 6*o - 4. Let t be j(1). Let a be (2*1)/((-4)/(-8)). What is p in -p**4 - t*p - 3*p**3 + p**5 - 5*p**2 + 7*p**a + 0*p**4 - 5*p**4 = 0?
-1, 0, 2
Let x(v) = 16*v**2 + 120*v + 302. Let m(y) = -12*y**2 - 80*y - 202. Let s(n) = -7*m(n) - 5*x(n). Factor s(h).
4*(h - 12)*(h + 2)
Let d(w) be the third derivative of 1681*w**6/180 + 41*w**5/15 + w**4/3 - 3*w**3 + 36*w**2. Let o(r) be the first derivative of d(r). Factor o(n).
2*(41*n + 2)**2
Let y(l) be the first derivative of -l**3/12 + 7*l**2/8 + 301. Suppose y(k) = 0. Calculate k.
0, 7
Let i(j) = 1526*j**2 - 151*j + 9. Let p(h) = -h**2 - h - 1. Let q(f) = -3*i(f) - 15*p(f). Let q(b) = 0. Calculate b.
2/39
Determine i so that -202*i**2 + 5184 - 19*i**2 + 81*i**2 - 2*i**3 - 2304*i = 0.
-36, 2
Let r be 256/24 + 8*-1. Let o(f) be the first derivative of -1/3*f**2 + 6 + 0*f + 16/9*f**3 - r*f**4. Factor o(z).
-2*z*(4*z - 1)**2/3
Suppose -2*v - 4*c - 12 = -5*c, 0 = -5*v - 2*c - 12. Let i be v - (-2 - 144/66). Find y such that -i*y**4 + 2/11*y**2 + 0 + 2/11*y - 2/11*y**3 = 0.
-1, 0, 1
Let g be 96/216 - (-14)/(-315). Factor -3/5*t**4 + 8/5*t + 12/5*t**2 + 0 - g*t**3.
-t*(t - 2)*(t + 2)*(3*t + 2)/5
Suppose 23*o**4 + 37*o**3 - 4*o + 5/3*o**5 + 35/3*o**2 + 0 = 0. What is o?
-12, -1, 0, 1/5
Let p = 246 + -246. Let u(m) be the third derivative of m**2 + 0 + p*m**3 - 7/270*m**5 + 0*m - 1/54*m**4. Let u(w) = 0. Calculate w.
-2/7, 0
Suppose 2 = d + 4. Let z be ((-32)/10)/d + -1. Suppose 0 - z*m + 3/5*m**2 = 0. Calculate m.
0, 1
Determine k, given that 0 + 11/7*k**3 - 6/7*k**2 - 6/7*k**4 + 1/7*k**5 + 0*k = 0.
0, 1, 2, 3
Let g(t) be the first derivative of 3/8*t**4 + 0*t + 1/4*t**2 + 1/10*t**5 - 10 + 1/2*t**3. Factor g(v).
v*(v + 1)**3/2
Let c(j) be the second derivative of -j**6/150 - 7*j**5/75 - j**4/5 + 8*j**2 - 8*j. Let p(k) be the first derivative of c(k). Let p(x) = 0. What is x?
-6, -1, 0
Let d be 59/39 - (-274)/1781. Suppose -2*i**2 + d*i**4 + 0 + 0*i + 13/3*i**3 = 0. What is i?
-3, 0, 2/5
Let k(q) be the third derivative of 0*q - 8*q**2 - 49/2340*q**6 - 1/39*q**4 + 5/6*q**3 + 7/195*q**5 + 0. Let s(l) be the first derivative of k(l). Factor s(z).
-2*(7*z - 2)**2/13
Let d(f) = f**3 + f**2 + f + 2. Let r(o) = -o**3 - 76*o**2 - 142*o + 4. Let s(m) = 2*d(m) - r(m). Let s(g) = 0. What is g?
-24, -2, 0
Let k(y) be the second derivative of 5*y**4/12 - 95*y**3/6 - 230*y**2 + 258*y. Suppose k(h) = 0. Calculate h.
-4, 23
Let h(y) be the second derivative of -y**7/63 + y**6/45 + 3*y**5/10 - y**4/18 - 20*y**3/9 - 4*y**2 + 67*y + 3. Suppose h(u) = 0. What is u?
-2, -1, 2, 3
Let d(r) be the first derivative of -r**5/20 - 3*r**4/2 + 25*r**3/12 + 108. Solve d(q) = 0 for q.
-25, 0, 1
Suppose 22050 - 210*j + 1/2*j**2 = 0. What is j?
210
Let u(s) = -2*s**3 - 8*s**2 + 6*s + 4. Let i(j) = j**2 - 2*j - 1. Let w(t) = 4*i(t) + u(t). Factor w(q).
-2*q*(q + 1)**2
Let c(b) be the first derivative of -b**7/105 + b**5/30 + 11*b**2/2 - 23. Let k(s) be the second derivative of c(s). Determine o so that k(o) = 0.
-1, 0, 1
Let a(w) be the second derivative of -11*w + 1/10*w**5 + 0*w**3 + 1/3*w**4 + 0 + 0*w**2. Factor a(j).
2*j**2*(j + 2)
Let f be (18 - -1) + (-8)/(-8). Let c be (-1)/14*3*(-70)/f. Suppose c*g**3 + 1/4*g - 3/4*g**2 - 1/4*g**4 + 0 = 0. What is g?
0, 1
Factor -2*p**3 + 0*p**3 - 121*p + 18*p**2 + 2*p**3 - 40*p**2 - p**3.
-p*(p + 11)**2
Let h(t) be the third derivative of -t**6/12 - 13*t**5/30 - 55*t**2. Factor h(g).
-2*g**2*(5*g + 13)
Find k, given that -6/7*k**2 - 6144/7 + 384/7*k = 0.
32
Let 