*(a + 1)/3
Suppose 567 = 6*k + 21*k. Let f(g) = 11*g - 229. Let l be f(k). What is t in -4/5*t**3 + 4/5*t + 0*t**l + 2/5*t**4 - 2/5 = 0?
-1, 1
Let v be (492/70 - 5) + 1*-5. Let h = 17/5 + v. Factor 9/7*n - h*n**2 + 0.
-3*n*(n - 3)/7
Let o(y) = -2*y + 7. Let w be o(3). Let u(b) = b**4 + b**3 - 2*b - 1. Let f(r) = 5*r**4 + 13*r**3 - 18*r**2 + 8*r - 14. Let q(d) = w*f(d) - 6*u(d). Factor q(n).
-(n - 2)**3*(n - 1)
Let l = -12452 + 12496. Let f(p) be the first derivative of 32/39*p**3 - l + 1/26*p**4 + 0*p + 64/13*p**2. Suppose f(t) = 0. What is t?
-8, 0
Let w(g) = -2*g**5 - 9*g**4 - 18*g**3 - 9*g**2 + 2. Let p(z) = z**5 + z**4 + z**3 - z**2 - 2. Let n(o) = -4*p(o) - 4*w(o). What is d in n(d) = 0?
-5, -2, -1, 0
Let l be (-65661)/(-602) + ((-6)/7)/(12 + -14). Suppose -l*r**3 + 24*r**4 + 324 - 3/2*r**5 + 27*r**2 + 486*r = 0. What is r?
-1, 6
Let d(z) be the first derivative of z**5/5 + z**4/2 - 4*z**3/3 - z**2 + 3*z - 930. Factor d(v).
(v - 1)**2*(v + 1)*(v + 3)
Let p = 393636 + -393634. Factor -10952/5 - 2/5*u**p - 296/5*u.
-2*(u + 74)**2/5
Let y(k) = 2*k**4 + 125*k**3 - 262*k**2 + 132*k + 3. Let o(n) = 14*n**4 + 874*n**3 - 1834*n**2 + 924*n + 22. Let r(l) = 6*o(l) - 44*y(l). Factor r(m).
-4*m*(m - 1)**2*(m + 66)
Let c(k) be the first derivative of 20 - 6*k**2 - 72*k - 1/6*k**3. Factor c(q).
-(q + 12)**2/2
Let d(v) be the third derivative of 0*v**4 + 13/6*v**3 + 1/180*v**6 + 18*v**2 + 1/20*v**5 + 0*v + 0. Let h(t) be the first derivative of d(t). Factor h(i).
2*i*(i + 3)
Let b be (375/(-30))/((-275)/44). Let z(v) be the first derivative of 37 - 2*v**b - 40/7*v - 4/21*v**3. Let z(s) = 0. What is s?
-5, -2
Suppose 0 = -3*w + 16*w - 26. Determine i, given that 6*i**3 - 94*i**2 + 66*i**2 - 8 + 16*i + 50*i**w = 0.
-2, 1/3
Let l(a) be the first derivative of a**2 + 0*a - 75 + 1/4*a**4 + a**3. Factor l(t).
t*(t + 1)*(t + 2)
Let i(b) be the second derivative of -b**5/180 - 7*b**4/72 + 75*b**2/2 - 6*b + 2. Let s(k) be the first derivative of i(k). Factor s(p).
-p*(p + 7)/3
Factor 464/5*y**2 + 200704/5 - 28672/5*y - 2/5*y**3.
-2*(y - 112)**2*(y - 8)/5
Let w(i) be the first derivative of -5*i**4/12 + 5*i**3/2 + 25*i**2 + 58*i + 23. Let k(g) be the first derivative of w(g). Factor k(q).
-5*(q - 5)*(q + 2)
Solve 1/5*n**2 + 0 - 15*n = 0 for n.
0, 75
Determine o, given that -2/3*o**3 + 271/3*o**2 + 0 + 136/3*o = 0.
-1/2, 0, 136
Suppose -10*a + 6*a = -5*x + 32, 0 = 5*x + a - 17. Find v such that 2 + 480*v**2 - 2 - 125*v**x + 525*v**3 + 45*v + 55*v = 0.
-2/5, 0, 5
Let u(g) be the first derivative of g**8/1176 + g**7/147 + 2*g**6/105 + 2*g**5/105 - 77*g**2/2 - 22. Let h(p) be the second derivative of u(p). Factor h(j).
2*j**2*(j + 1)*(j + 2)**2/7
Let r(b) = b**4 + 6*b**3 - 1. Let j(l) = 12*l**4 + 9*l**3 - 14*l**2 - 7. Let y(o) = 4*j(o) - 28*r(o). Suppose y(h) = 0. Calculate h.
-2/5, 0, 7
Let u(o) be the second derivative of -o**4/78 + 31*o**3/13 + 490*o**2/13 - 1117*o. Factor u(i).
-2*(i - 98)*(i + 5)/13
Suppose 20 = -14*b + 4*z + 24, 0 = -2*z + 12. Suppose 11*y**b + 17/2*y**3 + 3/2*y**4 + 0 + 4*y = 0. What is y?
-4, -1, -2/3, 0
Suppose 7*g = -213*p + 216*p - 128, 11 = -2*p - g. Find x such that -12/7*x**p + 3/7*x**4 - 12/7*x + 18/7*x**2 + 3/7 = 0.
1
Let j(y) be the second derivative of -83*y - 1/40*y**5 - y**2 + 1/60*y**6 - 11/12*y**3 + 0 - 3/8*y**4. Let j(w) = 0. Calculate w.
-1, 4
Find g, given that 0*g**3 + g**2 - 1/2*g**4 + 0*g - 1/2 = 0.
-1, 1
Let i be (-11)/(627/76) - 445/(-3). Suppose -56*b + i = -7*b. Determine p so that p**2 + 0*p**b + 0*p - 1/4*p**4 + 0 = 0.
-2, 0, 2
Let n(b) = -2*b**2 + 35*b - 6. Let k be n(16). Let f = k - 20. Suppose -43*v**2 + 5*v**4 - 3*v**5 + f*v**2 + 4*v**4 + 12 + 3*v**3 = 0. What is v?
-1, 1, 2
Let m(y) = -2*y**2 + 70*y - 129. Let i be m(33). Find u, given that 70*u**2 + 36*u - 36*u**i - 30*u**2 + 40*u**3 = 0.
-9, -1, 0
Let s = -908 + 908. Let x(f) be the second derivative of 2/9*f**3 - 1/60*f**5 + 3*f + 0*f**2 + s*f**4 + 0. Factor x(p).
-p*(p - 2)*(p + 2)/3
Let j(p) be the third derivative of -p**6/90 + 3*p**5/5 - 27*p**4/2 + 162*p**3 - 1687*p**2. Factor j(g).
-4*(g - 9)**3/3
Let f(b) = 2*b**2 - 2601*b + 58767. Let t be f(23). Suppose -2/9*c**t - 50/9 - 20/9*c = 0. What is c?
-5
Factor 151*z**2 - 51*z**2 - 46*z**2 + 535824 + 1464*z - 53*z**2.
(z + 732)**2
Suppose 3*s + 2*i + 32 = 0, 7*i = 2*i + 10*i + 95. Let p = -1/19 + 45/133. Factor 128/7 + 32/7*v + p*v**s.
2*(v + 8)**2/7
Let f(s) be the third derivative of -s**8/112 + s**7/70 + 7*s**6/40 - s**5/20 - 3*s**4/4 - 15*s**2 + 34*s. Let f(c) = 0. What is c?
-2, -1, 0, 1, 3
Let g(k) = 28*k**3 + 3776*k**2 - 3784. Let p(i) = 22*i**3 + 3776*i**2 - i - 3782. Let r(s) = 3*g(s) - 4*p(s). Find q such that r(q) = 0.
-944, -1, 1
Let y(s) be the first derivative of s**4/3 + 296*s**3/9 + 226*s**2 - 552*s - 3417. Solve y(f) = 0.
-69, -6, 1
Let d(j) = j**2 - 29*j - 54. Let t(a) = 10*a**2 - 260*a - 485. Suppose -35*k = -7*k + 1540. Let m(r) = k*d(r) + 6*t(r). Factor m(s).
5*(s + 3)*(s + 4)
Let b(v) be the third derivative of -v**6/1020 - 11*v**5/510 - 5*v**4/51 + 32*v**3/51 + 2445*v**2. Factor b(c).
-2*(c - 1)*(c + 4)*(c + 8)/17
Let b(p) be the second derivative of p**6/60 - 369*p**5/10 + 273059*p**4/12 - 90651*p**3 + 543169*p**2/4 - 2439*p. Factor b(z).
(z - 737)**2*(z - 1)**2/2
Let u(r) be the third derivative of r**8/168 - 8*r**7/105 - 13*r**6/60 + 14*r**5/3 - 2113*r**2. Solve u(n) = 0 for n.
-4, 0, 5, 7
Let s(k) be the first derivative of k**4/30 - 2*k**3/5 - 7*k**2/5 - 174*k - 244. Let b(q) be the first derivative of s(q). Factor b(f).
2*(f - 7)*(f + 1)/5
Let k(y) be the first derivative of y**3/24 + 23*y**2/16 + 51*y/4 + 3940. Let k(l) = 0. Calculate l.
-17, -6
Let l(f) be the first derivative of 0*f - 27/2*f**2 - 6*f**3 + 18 - 3/4*f**4. Let l(u) = 0. What is u?
-3, 0
Let k be ((-132)/(-14) - (-303)/(-707)) + -5. Let d(r) be the first derivative of 1/6*r**k + 28 + 0*r + 16/9*r**3 + 16/3*r**2. Factor d(w).
2*w*(w + 4)**2/3
Let r = -165 + 229. Determine u so that 30*u**2 - u**3 + 7*u**3 - 3*u**3 + r + 51*u - 40 = 0.
-8, -1
Suppose -67*k + 71*k + 116 = 0. Let y = k - -34. Factor -8*b**4 + 8*b**2 + 4*b**y + 366 - 4*b - 366.
4*b*(b - 1)**3*(b + 1)
Let g(n) = 5*n**5 + 3*n**4 - 54*n**3 + 6*n**2. Let b(z) = -z**5 - z**4 + 12*z**3 - z**2. Let f(y) = 6*b(y) + g(y). Determine i so that f(i) = 0.
-6, 0, 3
Let m = -387/170 - -1441/170. Solve 273/5*b**2 - 37*b + m + 9/5*b**3 = 0 for b.
-31, 1/3
Let u(o) be the second derivative of 0*o**3 - 2/5*o**5 - 7/15*o**6 + 58*o - 2/21*o**7 + 0*o**2 + 0 + 2/3*o**4. Factor u(q).
-2*q**2*(q + 2)**2*(2*q - 1)
Let f(x) = x**2 - 1321*x + 46395. Let b be f(36). Factor 0 + b*v + 5/2*v**2.
5*v*(v + 54)/2
Solve -492/5 + 3/5*g**2 + 489/5*g = 0 for g.
-164, 1
Let t be 0 + (0 - -1) + -2. Let h be -4 - t - (-48)/14. Factor 72/7*p + 432/7 + h*p**2.
3*(p + 12)**2/7
Let n(y) = 5*y**2 - y - 4. Let c(a) be the second derivative of -2*a**2 - 12*a + 0 + 0*a**3 + 1/3*a**4. Let r(m) = -6*c(m) + 4*n(m). Factor r(k).
-4*(k - 1)*(k + 2)
Let a(o) be the first derivative of -o**4/24 + 35*o**3/18 + o**2/12 - 35*o/6 + 231. Factor a(u).
-(u - 35)*(u - 1)*(u + 1)/6
Let d(b) be the first derivative of b**5/120 - b**3/36 + 56*b - 123. Let c(f) be the first derivative of d(f). Factor c(w).
w*(w - 1)*(w + 1)/6
Let v = 750 + -753. Let n be v + 63/(0 - -9). Factor 0 - 1/3*x**n + 1/3*x**2 - 1/3*x**3 + 1/3*x.
-x*(x - 1)*(x + 1)**2/3
Let y(m) = 375*m**4 - 1925*m**3 + 425*m**2 + 35*m - 35. Let o(w) = 22*w**4 - 113*w**3 + 25*w**2 + 2*w - 2. Let h(a) = 35*o(a) - 2*y(a). What is r in h(r) = 0?
0, 1/4, 5
Suppose 201*y - 1404 = 197*y. Factor -351 + y + 2*j**2 - 64*j.
2*j*(j - 32)
Factor 84*p**2 + 32*p**2 + p**2 - 660*p - 19*p**2 + 1950*p**3 - 1948*p**3.
2*p*(p - 6)*(p + 55)
Let l(i) be the first derivative of -i**3/12 - 25*i**2/2 + 51*i + 574. Factor l(f).
-(f - 2)*(f + 102)/4
Let m(a) be the first derivative of a**3/3 - 9*a**2 + 82*a + 131. Let c be m(10). Find y, given that 0 + 4/7*y**c + 0*y - 4/7*y**3 = 0.
0, 1
Let d(a) = -a**3 - 13*a**2 + 149. Let z be d(-12). Let r(h) be the third derivative of -1/100*h**z + 0 + 0*h**3 - 3/40*h**4 + 0*h - 6*h**2. Solve r(j) = 0.
-3, 0
Let q = 929 - 929. Let t be (-3 - -3)/(-1*(0 - -2)). Determine l so that t*l**2 + 2/13*l**3 + 0 + q*l = 0.
0
Let d(n) = -n**3 - 3*n**2 +