Let x be u(-1). Suppose 3*d + 0*d - 1 = -2*r, 12 = 4*r - 4*d. Let -1 - 3*h**r - x + 3 = 0. What is h?
0
Let l(y) be the first derivative of -9 - 5*y**2 - 5/3*y**3 - 5*y. Factor l(g).
-5*(g + 1)**2
Let a(l) = 2*l - 2. Let j be a(2). Suppose -5*g = -3*g. Factor -p + 0 + 3*p + 3*p**j - p**4 + g.
-p*(p - 2)*(p + 1)**2
Let o(a) = 23*a**2 - 906*a - 259. Let v(r) = 22*r**2 - 904*r - 258. Let k(x) = -6*o(x) + 5*v(x). Factor k(q).
-4*(q - 33)*(7*q + 2)
Let m(g) be the first derivative of g**6/1440 + g**5/480 - g**4/16 - 2*g**3 + 18. Let n(d) be the third derivative of m(d). Solve n(p) = 0 for p.
-3, 2
Let t(x) be the third derivative of 1/240*x**6 + 0 + 12*x**2 + 0*x + 1/48*x**4 + 0*x**3 + 1/48*x**5. Find p such that t(p) = 0.
-2, -1/2, 0
Let s = 17 + -13. Let v(m) = 4*m + 2*m - 2*m**2 - s*m**2 + 3*m**2. Let l(p) = -p**2 + p. Let t(b) = 6*l(b) - v(b). Factor t(n).
-3*n**2
Let k = 109 - 107. Suppose 3*f - 5*b - 17 = 0, -4*f - b + 7 = -2*f. Factor 11*j**f + 2*j**4 - 12*j**k - 8*j - 8*j**3 + 9*j**4 - 2 - 24*j**4.
-2*(j + 1)**4
Let w = -18/221 + 699/442. Factor 3*m**3 - w*m + 0 + 21/4*m**2.
3*m*(m + 2)*(4*m - 1)/4
Let b(l) be the third derivative of l**5/20 - 17*l**4/2 + 578*l**3 + 74*l**2 + 4*l. Let b(h) = 0. What is h?
34
Let n(t) be the first derivative of 5*t**4/4 + 35*t**3/3 - 5*t**2/2 - 35*t + 686. Factor n(z).
5*(z - 1)*(z + 1)*(z + 7)
Factor 4000*g + 330*g**3 + 0 + 1/4*g**5 - 31/2*g**4 - 2600*g**2.
g*(g - 20)**3*(g - 2)/4
Let q(r) = -r**3 + r**2 + r. Let v(u) = 12*u**3 + 12*u**2 + 27*u. Let s(a) = -9*q(a) - v(a). Factor s(t).
-3*t*(t + 3)*(t + 4)
Let n(m) be the third derivative of -m**6/80 - 29*m**5/40 + 15*m**4/8 + 18*m**2. Solve n(t) = 0.
-30, 0, 1
Find u, given that -39*u**2 + 64*u**3 - 265*u**3 + 87*u**3 + 165*u**4 - 12*u**5 = 0.
-1/4, 0, 1, 13
Solve 0*c + 2*c**2 + 0 + 7/3*c**3 + 1/9*c**5 + 8/9*c**4 = 0 for c.
-3, -2, 0
Let u(j) be the third derivative of -1/210*j**6 + 1/735*j**7 + 0*j**3 - 27*j**2 + 0*j + 1/210*j**5 + 0*j**4 + 0. Let u(z) = 0. What is z?
0, 1
Let r(l) be the third derivative of l**7/1260 + l**6/144 + 7*l**5/360 + l**4/48 + 8*l**2 + 1. Factor r(b).
b*(b + 1)**2*(b + 3)/6
Find f, given that -7/2 - 17/4*f**2 - 121/4*f = 0.
-7, -2/17
Suppose -y - 54 = y. Let m(z) = 246*z**3 + 351*z**2 + 105*z - 27. Let c(l) = -19*l**3 - 27*l**2 - 8*l + 2. Let s(x) = y*c(x) - 2*m(x). Factor s(t).
3*t*(t + 1)*(7*t + 2)
Let z(a) be the third derivative of -a**7/56 + a**6/9 + a**5/6 + 13*a**4/24 - 2*a**2. Let l(s) be the second derivative of z(s). Find o, given that l(o) = 0.
-2/9, 2
Let m(f) be the second derivative of f**4/40 + 11*f**3/60 + 3*f**2/10 - 206*f. Factor m(b).
(b + 3)*(3*b + 2)/10
Let p(y) = -y**3 - 418*y**2 - 14698*y - 2. Let d(j) = -9*j**3 - 4179*j**2 - 146979*j - 21. Let n(g) = 2*d(g) - 21*p(g). Factor n(z).
3*z*(z + 70)**2
Let b(x) = -3*x**3 + 24*x**2 - 63*x + 15. Let z(d) = 3*d + 4 - 2 - 1 - 4*d. Let u(j) = b(j) - 15*z(j). Find c, given that u(c) = 0.
0, 4
Let c(d) be the first derivative of 5/4*d**4 + 10/3*d**3 + 20 + 5/2*d**2 + 0*d. Factor c(j).
5*j*(j + 1)**2
Let n(x) be the third derivative of -6*x**7/35 + 7*x**6/30 + 2*x**5/15 + x**2 + x. Factor n(a).
-4*a**2*(a - 1)*(9*a + 2)
Suppose -72*c = -75*c - 3. Let m be 36/(-14)*(4/12 + c). Suppose 9/7*d**2 - 3/7*d + m*d**3 + 0 = 0. Calculate d.
-1, 0, 1/4
Let m(z) be the first derivative of 0*z - 1/450*z**5 + 1/45*z**3 + 0*z**4 + 8 + 4*z**2. Let i(q) be the second derivative of m(q). Factor i(o).
-2*(o - 1)*(o + 1)/15
Let o(k) be the third derivative of -1/48*k**6 + 0*k + 6*k**2 + 0 + 1/12*k**4 - 1/20*k**5 - 1/420*k**7 + 2/3*k**3. Factor o(m).
-(m - 1)*(m + 2)**3/2
Let t be ((20 + -3)/(-68))/(13/(-16)). Solve t*x**2 - 8/13*x + 2/13*x**4 - 6/13 + 8/13*x**3 = 0.
-3, -1, 1
Let r be (-3)/((-99)/22) + (-12)/45. Factor -2*h**3 - 6/5*h + r*h**4 + 14/5*h**2 + 0.
2*h*(h - 3)*(h - 1)**2/5
Let t be (-1 + 13 + -11)/(6/8). Solve -t + 0*i + 1/3*i**2 = 0.
-2, 2
Let l(o) be the second derivative of -o**6/105 - 4*o**5/35 - 19*o**4/42 - 4*o**3/7 + 29*o. What is j in l(j) = 0?
-4, -3, -1, 0
Suppose -13 = 3*z + 2*f, 18 = -3*z - 6*f + 3*f. Let i = 4 + z. Find a such that -2*a**i + 12*a + 9*a + 9*a**2 + 6*a - 10*a**3 + 6 = 0.
-1, -1/4, 2
Let a = 22 - 10. Find p, given that 32*p**2 + 9*p**3 - 5*p - 4*p**3 - a*p**2 - 20 = 0.
-4, -1, 1
Let q(o) be the first derivative of o**6/24 - o**5/4 + 5*o**4/8 - 5*o**3/6 + 23*o**2/2 - 46. Let x(l) be the second derivative of q(l). Let x(j) = 0. What is j?
1
Let s(z) = -6*z**2 + 3*z - 14 - 7*z + 5*z**3 - 17*z. Let f(l) = 5*l + 9*l + l**3 - 14*l - 1. Let h(p) = 2*f(p) - s(p). Factor h(b).
-3*(b - 4)*(b + 1)**2
Let l be 52/338 + (-111)/(-39). Factor -1/5*t + 1/5*t**l - 2/5*t**2 + 2/5.
(t - 2)*(t - 1)*(t + 1)/5
Let x be (-6)/2 + 36 + -71 + 38. Factor -1/4 + 1/4*v**2 + x*v.
(v - 1)*(v + 1)/4
Let n(q) be the third derivative of q**7/630 - q**6/15 + 9*q**5/10 - 22*q**4/9 - 121*q**3/6 - 137*q**2. Factor n(s).
(s - 11)**2*(s - 3)*(s + 1)/3
Let q = 181 + -17. What is z in 4*z + 152*z**3 + z**4 - 4*z**2 - q*z**3 + 3*z**4 + 8*z**5 = 0?
-1, 0, 1/2, 1
Let l = 9109 - 9106. Factor -2/5*c**l - 6/5*c**4 + 0*c + 0*c**2 + 8/5*c**5 + 0.
2*c**3*(c - 1)*(4*c + 1)/5
Factor 16/3 - 20/3*v**2 + 32/3*v.
-4*(v - 2)*(5*v + 2)/3
Factor -28*k**3 + 8*k**3 + 13*k**3 + 3*k + 13*k**3 - 9*k**2.
3*k*(k - 1)*(2*k - 1)
Let k(x) be the third derivative of 1/420*x**6 + 0*x**3 + 20*x + 1/70*x**5 + 0 + x**2 + 0*x**4. Find a such that k(a) = 0.
-3, 0
Let g = 482 + -482. Determine n, given that 2/13*n**3 + g + 4/13*n + 6/13*n**2 = 0.
-2, -1, 0
Let o(t) be the first derivative of t**6/4 + 6*t**5/5 + 3*t**4/4 - 2*t**3 - 9*t**2/4 - 239. Find w such that o(w) = 0.
-3, -1, 0, 1
Let l(s) be the third derivative of s**8/588 + 6*s**7/245 + s**6/15 - 8*s**5/35 - 35*s**2 - 3*s. What is r in l(r) = 0?
-6, -4, 0, 1
Suppose 736 = 11*b - 15*b. Let h = b + 184. Find c, given that 1/5 - 3/5*c**2 + 2/5*c**3 + h*c = 0.
-1/2, 1
Let q(m) be the second derivative of m**6/20 - 21*m**5/80 + 3*m**4/8 + m**3/8 - 3*m**2/4 + m + 4. Find u such that q(u) = 0.
-1/2, 1, 2
Let k = -163 + 154. Let b be (-27)/(-12)*(-2)/k. Factor -b*r + 0 + 1/4*r**2.
r*(r - 2)/4
Let l(s) = s**5 + 5*s**4 - 8*s**2 + 6*s + 2. Let f(c) = -c**5 - c**4 + c**3 - 2*c**2 + c - 1. Let u(n) = 2*f(n) + l(n). Determine g so that u(g) = 0.
-2, 0, 1, 2
Suppose 0 = -13*u + 264 + 48. Let j be (-70)/21 - u/(-4). Factor -j*h**2 - 2 + 26/3*h.
-2*(h - 3)*(4*h - 1)/3
Let u(s) be the second derivative of 0 + 0*s**3 + 5*s - 1/16*s**4 + 0*s**2. Factor u(x).
-3*x**2/4
Let l = 22 - 18. Suppose 6 - 18 = -l*y. Factor 0*d**4 + 0*d**2 + 0*d + 0 + 1/3*d**y - 1/3*d**5.
-d**3*(d - 1)*(d + 1)/3
Let f = 9 - 3. Suppose 3*p - f - 3 = 0. Factor p*b**5 + 0*b**3 + 4*b**4 - 6*b - 15*b**2 - 9*b**3 - b**4.
3*b*(b - 2)*(b + 1)**3
Let p(s) be the third derivative of s**6/48 - s**5/40 - 3*s**4/16 - 29*s**3/6 - 5*s**2. Let u(o) be the first derivative of p(o). Factor u(d).
3*(d - 1)*(5*d + 3)/2
Let c(a) be the third derivative of -1/110*a**5 + 0*a**3 + 1/66*a**4 + 0*a + 1/1155*a**7 + 0*a**6 + 0 - 9*a**2. Factor c(p).
2*p*(p - 1)**2*(p + 2)/11
Let d(y) = y**3 + 21*y**2 - 3*y + 3. Let r(a) = 2*a**3 + 22*a**2 - 4*a + 4. Let g(l) = 4*d(l) - 3*r(l). Factor g(q).
-2*q**2*(q - 9)
Let l be 3 + (333/(-54) + 6)/(4/54). Solve l*c**2 + 3/4*c + 0 = 0 for c.
-1, 0
Suppose -2*s - 3*s = z - 610, 4*z + 389 = 3*s. Let x = 127 - s. Factor -8/3*v - 2/3 - 8/3*v**3 - x*v**2 - 2/3*v**4.
-2*(v + 1)**4/3
Let q(b) be the second derivative of -4*b**2 - b**5 + 0 + 10/3*b**3 - 1/3*b**4 + 2/5*b**6 + 9*b. Factor q(r).
4*(r - 1)**2*(r + 1)*(3*r - 2)
Let v = -12230/7 + 1748. Solve -6/7*c**2 + 3/7*c**4 - 3/7*c**5 + 3/7 - 3/7*c + v*c**3 = 0.
-1, 1
Let b be 2/10*(0 - -1) - 74/(-30). Determine f, given that -2/3*f**4 - 40/3*f + 14/3 - b*f**3 + 12*f**2 = 0.
-7, 1
Factor -20/3 + 1/3*p**3 + 2/3*p**2 - 19/3*p.
(p - 4)*(p + 1)*(p + 5)/3
Factor -15/7*z - 1/7*z**2 - 26/7.
-(z + 2)*(z + 13)/7
Factor 12/5*z**4 + 3/5*z**5 + 3*z**3 + 0 + 0*z + 6/5*z**2.
3*z**2*(z + 1)**2*(z + 2)/5
Let m(s) = -s**3 + 11*s**2 - 20*s + 22. Let g be m(9). Factor 421*f**5 - 4*f**2 + 227*f**5 + 2*f**2 - 6*f**2 + 104*f**3 - 450*f**g.
2*f**2*(4*f - 1)*(9*f - 2)**2
Solve 176/3*i + 7744/3 + 1/3*i**2 = 0 for i.
-88
Let r(c) be the first derivative of c**6/3 - 2*c**5 + 3*c**4 + 4*c