
-1, 1/10, 2/3, 1, 2
Let k(i) = -14*i**2 + 96*i - 19. Let y(d) = -3*d**2 + 19*d - 4. Let l(x) = 2*k(x) - 11*y(x). Factor l(w).
(w - 3)*(5*w - 2)
Let o(a) = 57*a**4 - 71*a**3 - 465*a**2 - 451*a + 101. Let x(b) = 17*b**4 - 24*b**3 - 155*b**2 - 150*b + 34. Let u(k) = -6*o(k) + 21*x(k). Factor u(h).
3*(h - 9)*(h + 2)**2*(5*h - 1)
Suppose -4*b - 9 = -3*z, 19 = 3*b - 5*z + 34. Factor 55/3*y**3 + 41/6*y**4 + b*y + 2/3*y**5 + 0 + 25/6*y**2.
y**2*(y + 5)**2*(4*y + 1)/6
Let x(n) be the third derivative of 1/84*n**4 + n**2 - 1/210*n**5 + 1/1260*n**6 + 0*n + 0 - n**3. Let j(t) be the first derivative of x(t). Factor j(u).
2*(u - 1)**2/7
Let v(s) be the second derivative of 7*s**5/15 + 3*s**4/2 + 4*s**3/3 + 9*s**2/2 - 7*s. Let j(q) be the first derivative of v(q). Factor j(d).
4*(d + 1)*(7*d + 2)
Let s(b) be the second derivative of 0*b**3 + 1/270*b**5 + 0 + 0*b**4 - 2*b**2 + 4*b. Let q(f) be the first derivative of s(f). Suppose q(j) = 0. What is j?
0
Suppose -9*u + 36 - 9 = 0. Let h(p) be the first derivative of 0*p + 2/9*p**u - 1/12*p**4 - 1/6*p**2 - 2. Factor h(t).
-t*(t - 1)**2/3
Let a(z) be the second derivative of 0*z**2 + 1/3*z**3 - 2*z + 9/40*z**5 + 0 + 1/168*z**7 - 7/120*z**6 - 5/12*z**4. Factor a(q).
q*(q - 2)**3*(q - 1)/4
Suppose 3*m + 3*p = 0, 5*m + 3*p = -0*p + 8. Factor -m*z**2 - 8*z - 16/3 - 2/3*z**3.
-2*(z + 2)**3/3
Let t(l) be the first derivative of -2*l**3/3 + l**2 + 92. Solve t(y) = 0 for y.
0, 1
Suppose 23*w - 605 = -98*w. Let z(r) be the second derivative of -3/80*r**w + 0 - 10*r + 0*r**2 - 1/120*r**6 + 1/6*r**3 + 0*r**4. Factor z(v).
-v*(v - 1)*(v + 2)**2/4
Let d(o) be the first derivative of 5*o**3/3 - 135*o**2/2 - 140*o - 171. Factor d(u).
5*(u - 28)*(u + 1)
Let s(f) be the second derivative of -f**4/48 + 7*f**3/24 + 11*f**2/2 - 83*f. Factor s(u).
-(u - 11)*(u + 4)/4
Let m = 2002715/734 + -5457/2. Let a = 353/2569 - m. Factor 3/7 + a*b - 3/7*b**2 - 1/7*b**3.
-(b - 1)*(b + 1)*(b + 3)/7
Let l be 56/7 + (-2)/1. Let v(m) be the second derivative of m**4 + 21/10*m**l + 0*m**3 + 7*m - 9/14*m**7 + 0*m**2 + 0 - 12/5*m**5. Let v(q) = 0. Calculate q.
0, 2/3, 1
Find q such that -1/6*q**5 + 0*q**2 + 0*q**3 + 0 + 0*q + 1/6*q**4 = 0.
0, 1
Suppose 23*j - 16 = 19*j, m + 3*j - 17 = 0. Factor -6/5*a - 8/5*a**2 + 9/5*a**4 + 2/5*a**3 + 4/5*a**m - 1/5.
(a - 1)*(a + 1)**3*(4*a + 1)/5
Let q(p) be the third derivative of p**7/11340 + p**6/810 + p**5/135 - p**4/24 - 12*p**2. Let n(k) be the second derivative of q(k). Factor n(b).
2*(b + 2)**2/9
Let b(z) be the second derivative of -z**7/7560 - z**6/540 - z**5/90 - z**4 - 20*z. Let j(t) be the third derivative of b(t). Factor j(d).
-(d + 2)**2/3
Let y(k) = k**2 - 1. Let p(m) = -18*m**2 - 15*m + 3. Suppose -5 = u - 6*u, -2*r = 5*u - 17. Let g(w) = r*y(w) + p(w). Solve g(d) = 0.
-1, -1/4
Let l(a) = 3*a - 22. Let t be l(9). Let s(g) = g**3 - 10*g**2 - 25*g + 12. Let y be s(12). Factor y + 3/7*q**3 + 3/7*q**t + 6/7*q**4 + 0*q**2 + 0*q.
3*q**3*(q + 1)**2/7
Suppose -4*m = t + 4*t + 74, 3*t = m + 10. Let k be (12/96)/((-6)/m). Find z, given that z**4 + 2/3*z**3 - 2/3*z**2 - 1/3 - z + k*z**5 = 0.
-1, 1
Let x(l) = l**2 + 25. Let u be x(0). Suppose -a - 4*v + 14 = 0, -3*v + u = 5*a + 2*v. Determine m so that -2/9*m**4 + 2*m + 0 - 10/3*m**a + 14/9*m**3 = 0.
0, 1, 3
Let o(f) be the first derivative of -12*f**5/5 + 69*f**4/4 + 42*f**3 - 141*f**2/2 - 42*f + 51. Find k, given that o(k) = 0.
-2, -1/4, 1, 7
Let r(d) be the third derivative of 3*d**7/700 - 11*d**6/400 - d**5/300 + 13*d**4/60 + 2*d**3/5 + d**2 + 17. Determine k, given that r(k) = 0.
-2/3, 2, 3
Let d be 2 - 0/(-1 - 3). Factor -4*u**3 + u**5 + 7*u**2 + 3*u**3 - u**4 - 6*u**d.
u**2*(u - 1)**2*(u + 1)
Let m(n) = 7*n**3 - n**2 - 34*n + 22. Let c(v) = -8*v**3 + 2*v**2 + 36*v - 23. Let k(x) = -6*c(x) - 7*m(x). Solve k(o) = 0.
-8, 1, 2
Let y(i) be the second derivative of i**5/16 - 95*i**4/24 + 175*i**3/6 - 85*i**2 + 7*i + 2. Determine f, given that y(f) = 0.
2, 34
Let z(q) = q**3 - 4*q**2 + 7*q - 2. Let x be z(3). Factor -x*y**2 - 25*y + 5*y**2 - 60 + 40.
-5*(y + 1)*(y + 4)
Let u(s) be the third derivative of -s**5/12 + 25*s**4/24 - 10*s**3/3 - 4*s**2 + s. Factor u(m).
-5*(m - 4)*(m - 1)
Let y(w) be the third derivative of w**8/112 - 3*w**7/35 + 3*w**6/10 - w**5/2 + 3*w**4/8 - 2*w**2 - 57*w. Suppose y(u) = 0. Calculate u.
0, 1, 3
Let o = -13 - -21. Let a be (-18)/(-12)*o/6. Factor v - 4*v**2 + 0*v**3 - v**3 + 4*v**a.
-v*(v - 1)*(v + 1)
Let r be -10*((-14)/4 + 3). Let c = 21 + -18. Factor c + 2*q**2 + r - q + 8*q + q.
2*(q + 2)**2
Let q(b) be the second derivative of b**4/18 - 4*b**3/27 - 23*b + 3. Factor q(p).
2*p*(3*p - 4)/9
Let j(q) be the second derivative of 0*q**3 + 0*q**2 + 1/28*q**7 + 0*q**4 + 0 + 1/20*q**6 + 40*q - 3/20*q**5. Factor j(k).
3*k**3*(k - 1)*(k + 2)/2
Let v(a) be the second derivative of 2*a**7/189 - 2*a**6/135 - 7*a**5/45 + a**4/27 + 4*a**3/9 - 193*a. Find s such that v(s) = 0.
-2, -1, 0, 1, 3
Let c(s) = -2*s**3 - 17*s**2 + 21*s - 6. Let v(m) = 6*m**3 + 51*m**2 - 65*m + 19. Let z(x) = -11*c(x) - 4*v(x). Factor z(k).
-(k - 1)*(k + 10)*(2*k - 1)
Let v(u) be the first derivative of -u**4/12 + u**3/9 + 133*u**2/6 - 637*u/3 + 647. Let v(d) = 0. Calculate d.
-13, 7
Suppose 88*j + 15*j = -45*j + 444. Let b = 3/44 - -683/308. Solve -48/7*x + b - 36/7*x**2 + 4*x**j = 0.
-1, 2/7, 2
Find n such that 6*n**3 + 2*n**2 + 6*n**2 - 2*n**3 = 0.
-2, 0
Let f be 16/(-24)*1/((-3)/(-18)). Let y(j) = -5*j**2 - 23*j + 8. Let n(m) = -5*m**2 - 22*m + 8. Let k(p) = f*y(p) + 5*n(p). Suppose k(d) = 0. Calculate d.
-4, 2/5
Let s(o) be the third derivative of 0 + 1/60*o**4 + 0*o + 1/100*o**5 - 33*o**2 + 1/600*o**6 + 0*o**3. Solve s(g) = 0.
-2, -1, 0
Find t, given that -14*t**3 + 548*t + 3*t**4 + 7*t**4 - 2*t**2 - 542*t = 0.
-3/5, 0, 1
Let m(l) = 2*l**3 - 9*l**3 - 7*l**2 - 22 - 33*l + 3*l**2 - 10*l**2. Let n(t) = 20*t**3 + 43*t**2 + 99*t + 65. Let f(i) = 11*m(i) + 4*n(i). Factor f(b).
3*(b + 1)*(b + 2)*(b + 3)
Let g(c) be the third derivative of c**7/105 - 5*c**6/12 + 107*c**5/30 - 143*c**4/12 + 20*c**3 - 217*c**2. Factor g(o).
2*(o - 20)*(o - 3)*(o - 1)**2
Let g(x) = x**4 - x. Let o(h) = 4*h**5 - 44*h**4 + 32*h**3 + 24*h**2 - 16*h. Let i(j) = 20*g(j) + o(j). Let i(t) = 0. Calculate t.
-1, 0, 1, 3
Let k(l) = l**2 + 2*l + 2. Let z(f) = 9*f**2 - 66*f - 67. Let q(o) = 24*k(o) - 3*z(o). Let q(r) = 0. Calculate r.
-1, 83
Find t, given that 0 - 2/5*t**3 - 22/5*t**2 + 84/5*t = 0.
-14, 0, 3
Let o(r) be the second derivative of -r**6/3 - 25*r**5/4 + 155*r**4/4 + 3400*r**3/3 - 1750*r**2 - 153*r - 2. Suppose o(b) = 0. What is b?
-10, 1/2, 7
Let u = 48 - 45. Suppose -2*d**4 + 0*d**2 - 188*d**u + 194*d**3 + 18*d**2 + 10*d = 0. Calculate d.
-1, 0, 5
Let n(l) = 5*l**4 - 30*l**3 + 20*l**2 + 26*l - 21. Let o(r) = 5*r**4 - 30*r**3 + 20*r**2 + 25*r - 20. Let g(h) = 5*n(h) - 4*o(h). Solve g(y) = 0.
-1, 1, 5
Let u = 13885 + -13883. What is n in 16*n + 64/3*n**u + 3 = 0?
-3/8
Let v be (-46)/(-8) - (-7)/28 - 2. Let l(g) be the third derivative of -1/180*g**5 - 8/9*g**3 - 1/9*g**v + 0*g - 5*g**2 + 0. Solve l(p) = 0 for p.
-4
Let a(l) be the second derivative of -l**6/15 - 9*l**5/10 - l**4/3 + 16*l**3 + 550*l. Factor a(c).
-2*c*(c - 2)*(c + 3)*(c + 8)
Suppose -2*r + 2*c = -2, 6 = 4*r - 8*c + 6*c. Factor 1/4*y + 1/4*y**r - 1/2.
(y - 1)*(y + 2)/4
Let v(y) = -2*y**4 + 2*y**3 + 2*y - 2. Let t(p) be the first derivative of -p**6/6 - p**5/5 + p**4/4 + p**2/2 - p + 15. Let r(o) = 2*t(o) - v(o). Factor r(f).
-2*f**5
Let q = -1/5 + 7/20. Let l(r) be the second derivative of 0 + 0*r**2 - q*r**5 + 5*r - 2*r**3 + r**4. Factor l(n).
-3*n*(n - 2)**2
Let y(n) be the first derivative of -n**3/9 - 5*n**2/6 + 87. Factor y(t).
-t*(t + 5)/3
Let h(v) = 267*v - 532. Let x be h(2). Find t such that 2/7*t**3 + 9/7*t**4 + 2/7*t + 0 - 9/7*t**x - 4/7*t**5 = 0.
-1, 0, 1/4, 1, 2
Let g be -6*(-1 - 2) - 16. Find o, given that -2/5*o**g - 4/5*o - 2/5 = 0.
-1
Let -46*z**3 - 8/3*z + 0 - 140/3*z**4 - 50/3*z**5 - 56/3*z**2 = 0. What is z?
-1, -2/5, 0
Let h(i) be the second derivative of -i**8/336 - i**7/84 - 4*i**3/3 + 29*i. Let q(w) be the second derivative of h(w). Let q(k) = 0. What is k?
-2, 0
Suppose 0 = 6*i - 7*i + 70. Let c be i/22 - (-2)/(-11). Factor v**c + 0*v**3 - 4*v + 2*v**3 + v**3.
4*v*(v - 1)*(v + 1)
Let a(g) = -2*g*