Let f = 8/1891 + 18886/5673. Suppose 25/3*p - f + 5/3*p**3 - 20/3*p**2 = 0. What is p?
1, 2
Factor 59*h + 99*h**2 - 19*h**2 - 71*h.
4*h*(20*h - 3)
Suppose s + 25 - 28 = 0. Factor -8*p**3 - 4*p + 6*p**3 - 2*p**2 + 4*p**s.
2*p*(p - 2)*(p + 1)
Let f be (6/5)/((-10)/(-25)). Let t(z) be the third derivative of z**2 + 1/330*z**5 + 0*z + 0 + 1/33*z**f - 1/66*z**4. Factor t(y).
2*(y - 1)**2/11
Suppose -9*t + 1177 - 160 = 0. Suppose -200*m**3 + 223*m - t*m + 115*m**2 - 80*m**4 - 125*m = 0. Calculate m.
-3, 0, 1/4
Let x(n) be the third derivative of 0*n + 0 + 0*n**3 + 1/30*n**5 + 1/60*n**6 - 1/12*n**4 - 1/105*n**7 + 5*n**2. Let x(o) = 0. Calculate o.
-1, 0, 1
Factor -286*r - 44*r**2 + 37*r**2 - 174*r - 28*r**2 - 79*r**2 - 16.
-2*(r + 4)*(57*r + 2)
Let h be 1540/12 - (-3)/6*-4. Let z = h + -125. Factor 0*d**2 + 0 + 1/3*d**3 - z*d**4 + 0*d.
-d**3*(4*d - 1)/3
Let j(i) = -5*i**3 + 64*i**2 - 48*i. Let m be j(12). Factor 1/4*k**2 + m*k - 1.
(k - 2)*(k + 2)/4
Let u = -171 - -391. Factor 115*n**2 - 4*n**4 + 4*n - 8*n**3 - u*n**2 + 115*n**2 - 2*n**4.
-2*n*(n - 1)*(n + 2)*(3*n + 1)
Let n(a) be the third derivative of a**5/20 - 23*a**4/8 + 11*a**3 - 15*a**2 + 2. Let n(q) = 0. What is q?
1, 22
Factor -1596*q**2 + 1352/3*q + 5782/3*q**3 - 343/3*q**4 - 128/3.
-(q - 16)*(7*q - 2)**3/3
Let b(u) = -4*u**3 + 5*u**2 + 9*u. Let l = 9 - 3. Let d(x) = -x**3 + x. Let c(v) = l*d(v) + b(v). Determine p so that c(p) = 0.
-1, 0, 3/2
Let z(b) be the third derivative of -1/105*b**5 + 0*b + 0*b**3 - 2*b**2 - 1/21*b**4 + 0. Let z(k) = 0. What is k?
-2, 0
Let r(q) be the second derivative of -1/2*q**2 + 0 - 1/180*q**6 + 2/45*q**5 + 2/9*q**3 - 5/36*q**4 - q. Let d(b) be the first derivative of r(b). Factor d(m).
-2*(m - 2)*(m - 1)**2/3
Let v(h) be the third derivative of -7*h**6/120 - 3*h**5/10 - 5*h**4/24 + h**3 + 27*h**2 - 2*h. Factor v(z).
-(z + 1)*(z + 2)*(7*z - 3)
Let k(q) be the third derivative of -q**5/60 + q**4/3 - 8*q**3/3 - 6*q**2. Factor k(g).
-(g - 4)**2
What is v in 3*v - 5 + 12*v**2 - 7*v + 21*v**2 - 32*v**2 = 0?
-1, 5
Let k(o) be the third derivative of -o**5/60 - 13*o**4/24 + 3*o**2. Let w(t) = t**2 + 9*t. Let c = -7 + 12. Let l(b) = c*k(b) + 7*w(b). Factor l(i).
2*i*(i - 1)
Let a(w) = -4*w**3 + 80*w**2 + 83*w - 173. Let r(d) = 3*d**3 - 40*d**2 - 41*d + 86. Let n(c) = -4*a(c) - 7*r(c). Solve n(x) = 0.
-6, -3, 1
Let y(x) = 55*x**4 - 117*x**3 + 23*x**2 - 3. Let r(g) = -g**3 - g**2 + 1. Let w(i) = -3*r(i) - y(i). Factor w(f).
-5*f**2*(f - 2)*(11*f - 2)
Find u, given that 3/5*u - 8/5*u**2 + 1 = 0.
-5/8, 1
Let j(m) be the third derivative of 0 - 1/15*m**4 - 8/15*m**3 + 21*m**2 - 1/300*m**5 + 0*m. Factor j(l).
-(l + 4)**2/5
Let s be 4 - ((-70)/(-21) + 2/3). Let l(v) be the third derivative of 2*v**2 + 0 + s*v - 1/5*v**5 + v**3 + 3/40*v**6 - 1/8*v**4. Find a such that l(a) = 0.
-2/3, 1
Let p(x) = -13*x**2 + 41*x - 64. Let i(v) = 3*v**2 - 10*v + 16. Let q = -40 - -42. Let o(k) = q*p(k) + 9*i(k). Factor o(l).
(l - 4)**2
Let v(s) = -s**2 + 11*s - 14. Let q be v(7). What is b in 4*b**2 - 13 - 6*b + q*b + 13 = 0?
-2, 0
Factor 5/2*s**4 + 0 - 40*s**2 + 0*s - 99*s**3.
s**2*(s - 40)*(5*s + 2)/2
Let y(h) = h**3 + 77*h**2 + 7*h + 541. Let u be y(-77). Factor 14 + 2/7*f**u + 4*f.
2*(f + 7)**2/7
Let s = -31 + 25. Let z be 2/s + (-520)/(-39). Factor 1 + z*p**4 - 9*p**4 - 12*p**2 - 20*p + 4*p**3 - 6 - 3.
4*(p - 2)*(p + 1)**3
Let y(h) be the first derivative of h**7/1155 - h**5/330 - 2*h**2 - 6. Let d(m) be the second derivative of y(m). Factor d(r).
2*r**2*(r - 1)*(r + 1)/11
Let q(b) be the second derivative of 1/50*b**6 + 12/5*b**2 - 3/100*b**5 + 2/5*b**3 - 12*b + 0 - 3/10*b**4. Factor q(f).
3*(f - 2)**2*(f + 1)*(f + 2)/5
Let 1126*q**3 + 2*q**5 - 1162*q**3 + 64*q**2 - 18*q**4 - 4*q**5 + 192*q = 0. Calculate q.
-4, -3, 0, 2
Determine x, given that -8*x**3 - 222*x + 7388*x**2 + 72 + 50*x**3 - 7505*x**2 = 0.
-3/2, 2/7, 4
Let h be 0/7*6/(-18). Let y(r) be the second derivative of -11/40*r**5 + 0*r**2 - 1/3*r**3 + 6*r + h - 1/20*r**6 - 1/2*r**4. Factor y(o).
-o*(o + 1)*(o + 2)*(3*o + 2)/2
Let j(l) be the third derivative of l**7/105 - 5*l**6/18 + 14*l**5/5 - 6*l**4 + 10*l**3/3 + 9*l**2. Let r(n) be the first derivative of j(n). Factor r(p).
4*(p - 6)**2*(2*p - 1)
Let l be 7 + -1 + (-41 - -35). Let q(k) be the second derivative of 0*k**5 + l*k**3 + 0*k**4 - 3*k + 0*k**2 + 0 + 1/105*k**7 + 0*k**6. Factor q(r).
2*r**5/5
Let u(m) = -m**4 - 2*m**3 - m**2 - 3. Let r(c) = -6*c**4 + 14*c**3 + 61*c**2 + 16*c + 3. Let p(b) = -3*r(b) - 3*u(b). Determine y, given that p(y) = 0.
-2, -2/7, 0, 4
Let g be 2/(-4) + (-25)/40*-20. Let x = g - 10. Find c such that 2/7 - 2/7*c**4 + 0*c**x + 4/7*c - 4/7*c**3 = 0.
-1, 1
Find a, given that -3/5*a**4 + 159/5*a**2 - 72/5*a + 72/5*a**3 - 156/5 = 0.
-2, -1, 1, 26
Let y(v) be the first derivative of 5*v**6/6 + 9*v**5 - 60*v**4 + 260*v**3/3 + 187. Solve y(r) = 0.
-13, 0, 2
Find y, given that -12*y**2 + 5*y + 3*y**4 + 227 - 11*y + 6*y**3 - 218 = 0.
-3, -1, 1
Let g(u) = u**3 + 11*u**2 + 14*u + 19. Let r(y) = -y + 2. Let c(m) = g(m) - 5*r(m). Let c(h) = 0. Calculate h.
-9, -1
Let y(t) = -t**3 - 27*t**2 - 26*t + 2. Let d(l) = -l**3 - 54*l**2 - 53*l + 5. Let o(u) = 2*d(u) - 5*y(u). Factor o(z).
3*z*(z + 1)*(z + 8)
Suppose -2*b + 3*c - 5 = 0, -5*b + 3*c + 0*c = -10. Let m(p) be the second derivative of 0*p**2 - 2*p + 0*p**3 + 0 - 1/120*p**b - 1/72*p**4. Factor m(z).
-z**2*(z + 1)/6
Let j be (-3)/15 + (-1 - 1)/(-60). Let m = j + 1/2. Suppose 1/3*i**2 - m*i + 0 = 0. What is i?
0, 1
Factor -969*d**3 + 156*d**4 + d**5 + 0*d**5 - 471*d**3 - 1600*d**2 - 5*d**5.
-4*d**2*(d - 20)**2*(d + 1)
Let k(x) be the first derivative of 0*x**2 + 0*x - 1/6*x**3 + 12 + 1/24*x**6 + 1/10*x**5 - 1/16*x**4. Factor k(d).
d**2*(d - 1)*(d + 1)*(d + 2)/4
Let l(i) be the first derivative of 0*i - 3 - 1/12*i**3 + 3/8*i**2. Let l(b) = 0. Calculate b.
0, 3
Let b(a) be the third derivative of -a**8/2184 - a**7/455 + 11*a**6/390 - 19*a**5/195 + 9*a**4/52 - 7*a**3/39 + 456*a**2. Solve b(k) = 0.
-7, 1
Suppose -2*l - 2*t = -6, 0*t - 4 = -4*t. Suppose -2*j - 4*u = -2*u - 16, l*j - 3*u + 9 = 0. Factor -5*n**4 - 20*n**j - 25*n**2 - 11*n + 2*n - n.
-5*n*(n + 1)**2*(n + 2)
Factor 8/3 + 56/9*b - 10/9*b**2.
-2*(b - 6)*(5*b + 2)/9
Let z(c) = 9*c - 103. Let i be z(12). Let s(k) be the third derivative of 1/70*k**7 + 1/8*k**4 - 1/40*k**6 + i*k**2 + 0*k**3 + 0 - 1/20*k**5 + 0*k. Factor s(j).
3*j*(j - 1)**2*(j + 1)
Let f(d) be the first derivative of d**6/15 - 2*d**5/5 + d**4 - 4*d**3/3 + d**2 - 2*d/5 - 14. Suppose f(l) = 0. What is l?
1
Let v(w) be the second derivative of w**7/630 - w**6/72 + 2*w**5/45 - w**4/18 + 45*w**2/2 - 3*w. Let r(h) be the first derivative of v(h). Factor r(g).
g*(g - 2)**2*(g - 1)/3
Let m = 25 - 22. Find z, given that -z**2 + z**2 - m*z**2 + 2 + z**2 = 0.
-1, 1
Let j(z) be the first derivative of -z**3/9 + 25*z**2/6 - 46*z/3 + 173. Factor j(k).
-(k - 23)*(k - 2)/3
Let y(g) be the first derivative of -g**5/25 + g**4/5 + g**3/5 - g**2 - 8*g/5 - 142. Let y(r) = 0. What is r?
-1, 2, 4
Let h(g) be the second derivative of 0 + 1/2*g**4 + 0*g**2 + 18*g + 3/20*g**5 - 3/2*g**3. Let h(u) = 0. Calculate u.
-3, 0, 1
Let u(f) be the first derivative of -f**3 - 171*f**2 - 9747*f + 175. Let u(g) = 0. What is g?
-57
Suppose -2*f = -4*f + 8. Let m be (-21)/(-12) - (-1)/f. Factor -b**2 - 3*b**2 + 5*b**m - 2*b**2.
-b**2
Let -3*t**4 + 114*t**2 + 2*t**5 - 216*t**3 + 48*t**4 + 235*t**2 - 25*t**2 - 5*t**5 = 0. Calculate t.
0, 3, 6
Let s(a) = -8*a - 156. Let y be s(-20). Let u(w) be the third derivative of -6*w**2 + 0*w - 1/4*w**y + 0*w**3 + 0 - 2/15*w**5. Factor u(h).
-2*h*(4*h + 3)
Let s(a) = -a**2 - 4*a + 7. Let n be s(-5). Let v = 2 - n. Factor -8/5 + 2/5*g**2 + v*g.
2*(g - 2)*(g + 2)/5
Let c(y) be the third derivative of -y**8/784 - 11*y**7/490 - 9*y**6/140 + y**5/70 + 19*y**4/56 + 9*y**3/14 + 34*y**2. Solve c(q) = 0.
-9, -1, 1
Let k(x) = -2*x**2 - 15*x - 23. Let i be k(-3). Factor 12/5*r + 3/5*r**5 + 39/5*r**3 + 18/5*r**i + 36/5*r**2 + 0.
3*r*(r + 1)**2*(r + 2)**2/5
Suppose 2 = n - 0. Suppose 2*d + 3*d + n*d**2 + 13*d + d**2 = 0. Calculate d.
-6, 0
Let s(c) = 3*c**2 + 30*c + 54. Let u be 1 + (0 - -3) + -4. Suppose 5*p + 0*p - 30 = u. Let g(f) = 6*f**2 + 61*f + 109. Let v(t) = p*g(t) - 13*s(t). Factor v(o).
-3*(o + 