+ a(p). Suppose i(d) = 0. What is d?
0, 1
Let g(y) be the third derivative of -1/32*y**5 + 1/560*y**7 + 0 + 1/896*y**8 - 30*y**2 - 1/32*y**4 + 0*y**3 - 3/320*y**6 + 0*y. Find n, given that g(n) = 0.
-1, 0, 2
Let y(h) be the first derivative of -h**7/2100 - h**6/300 - h**5/100 - h**4/60 - 3*h**3 - 2. Let n(f) be the third derivative of y(f). Solve n(j) = 0.
-1
Suppose -2*r - 1 = -11. Factor 23*g**r - 8*g**3 - 33*g**5 - 10*g**5 - 28*g**4.
-4*g**3*(g + 1)*(5*g + 2)
Let q(o) be the first derivative of o**6/33 - o**4/11 + o**2/11 + 74. Find j, given that q(j) = 0.
-1, 0, 1
Let p = -107 - -43. Let g = p + 66. Factor 2/5*s + 1/5*s**g + 0.
s*(s + 2)/5
Factor a**3 + 7/2*a**4 + 0 - 7/2*a**2 - a.
a*(a - 1)*(a + 1)*(7*a + 2)/2
Let q(l) be the third derivative of -l**6/540 + l**4/12 + 7*l**2. Factor q(i).
-2*i*(i - 3)*(i + 3)/9
Factor 51*z**2 + 73*z**2 + 16 + 28*z - 110*z**2 + 2*z**3.
2*(z + 1)*(z + 2)*(z + 4)
Let j(u) be the third derivative of u**8/168 + 3*u**7/35 - 7*u**6/20 + 11*u**5/30 - 641*u**2. Factor j(f).
2*f**2*(f - 1)**2*(f + 11)
Find l, given that -5*l**4 - 47*l + 59*l**3 + 20*l**2 + 87*l - 69*l**3 = 0.
-2, 0, 2
Let u(l) = l**2 - 78*l + 152. Let d be u(76). Suppose -a**2 + 2/3*a + 0*a**3 + 1/3*a**4 + d = 0. What is a?
-2, 0, 1
Suppose 6*d**4 + 0*d + 0 + 2/5*d**5 + 54/5*d**3 + 26/5*d**2 = 0. What is d?
-13, -1, 0
Let t(m) = -m**3 + 2*m - 1. Let l be t(-2). Suppose 2*d - n = 5*d - 14, l*d + 3*n = 18. Factor -8 - d*i + 0*i**2 + 0*i**2 + 4*i**2.
4*(i - 2)*(i + 1)
Let z = 15 + -13. Determine y so that y**3 + 4 + 55*y**z + y - 4 - 57*y**2 = 0.
0, 1
Suppose -5*z + 18 + 0 = -3*r, 0 = -z - r + 2. Let l(f) be the first derivative of 4/3*f**z + 11 + 0*f**2 + f**4 + 0*f. Determine i, given that l(i) = 0.
-1, 0
Let t(m) = -21*m**3 - 120*m**2 - 180*m + 27. Let j(b) = 3*b**3 + 17*b**2 + 26*b - 4. Let n(i) = 27*j(i) + 4*t(i). Factor n(r).
-3*r*(r + 1)*(r + 6)
Let r = 1397/9 - 155. Let a = 788/3 + -262. Let -2/9*h + r*h**3 - a*h**2 + 2/9*h**4 + 4/9 = 0. What is h?
-2, -1, 1
Let r = -336 - -336. Factor 0*l + 1/3*l**2 - l**3 + r.
-l**2*(3*l - 1)/3
Let z(r) be the first derivative of r**4/28 - 2*r**3/7 + 6*r**2/7 - 14*r - 30. Let o(h) be the first derivative of z(h). Let o(t) = 0. What is t?
2
Let t(l) = -8*l**2 - 610*l - 18602. Let u(y) = 17*y**2 + 1220*y + 37203. Let i(p) = -7*t(p) - 3*u(p). Factor i(d).
5*(d + 61)**2
Let l(h) be the second derivative of -h**6/120 + 13*h**5/20 - 71*h**4/4 + 572*h**3/3 - 968*h**2 - 2*h + 66. Factor l(w).
-(w - 22)**2*(w - 4)**2/4
Let f = 991 - 11951/12. Let x = f - -815/156. Determine s, given that -10/13*s - x + 2/13*s**4 + 2/13*s**3 - 6/13*s**2 = 0.
-1, 2
Let t be (-7)/(357/85)*(-6)/10. Determine p so that -7/2*p + t + 5/2*p**2 = 0.
2/5, 1
Let c(i) = i**5 - 1. Let t be (3/1 - 6)/(-3). Let q(y) = 5*y**5 + y**4 - 2*y**3 - 2*y**2 + y - 3. Let s(l) = t*q(l) - 4*c(l). Factor s(m).
(m - 1)**2*(m + 1)**3
Let q(z) be the second derivative of 0*z**3 + 0*z**2 - 1/100*z**5 + 1/150*z**6 + 0*z**4 - 3*z + 0. Factor q(d).
d**3*(d - 1)/5
Let l(g) = g**3 + 14*g**2 + 4*g + 5. Let u(a) = a**2 - a. Let h(k) = -2*l(k) + 14*u(k). Suppose h(p) = 0. What is p?
-5, -1
Let c(f) be the third derivative of -1/54*f**5 + 0*f + 1/105*f**7 + 9*f**2 + 0 - 1/36*f**4 + 0*f**3 + 1/378*f**8 + 1/180*f**6. Factor c(k).
2*k*(k + 1)**3*(4*k - 3)/9
Let b(a) be the first derivative of -2*a**5/5 - 56*a**4 - 3136*a**3 - 87808*a**2 - 1229312*a + 48. Suppose b(s) = 0. What is s?
-28
Let w(j) = 2*j**5 - j**4 + 5*j**3 + 12*j**2 - 15*j - 3. Let b(a) = 5*a**5 - 4*a**4 + 14*a**3 + 36*a**2 - 43*a - 8. Let x(p) = 3*b(p) - 8*w(p). Factor x(k).
-k*(k - 1)**2*(k + 3)**2
Let s(j) = 21*j**3 - 39*j**2 - 114*j - 45. Suppose -i + 4 = -0. Let l(h) = -11*h**3 + 20*h**2 + 57*h + 22. Let u(g) = i*s(g) + 9*l(g). Factor u(n).
-3*(n - 3)*(n + 1)*(5*n + 2)
Let q = 12723 - 25271/2. Factor q*f - 125/2 + 5/2*f**3 - 55/2*f**2.
5*(f - 5)**2*(f - 1)/2
Let h(k) be the second derivative of k**4/66 + 2*k**3/3 + k - 286. Determine p so that h(p) = 0.
-22, 0
Let u = 31 + -17. Suppose -6*d + u = 2. Determine l so that 3*l**d - l**2 + 14 - 13*l - 7*l + 36 = 0.
5
Let d(k) = -9*k**2 + 6*k - 15. Let z(f) = -8*f**2 + 6*f - 13. Let v(w) = 5*d(w) - 6*z(w). Determine t so that v(t) = 0.
1
Let h(r) be the third derivative of 0*r**4 - 1/120*r**6 + 0*r**5 + 0*r - 15*r**2 + 0*r**3 - 1/140*r**7 + 0. Determine v so that h(v) = 0.
-2/3, 0
Factor -2/13*x**3 + 0 - 4*x - 54/13*x**2.
-2*x*(x + 1)*(x + 26)/13
Suppose 5*j + 8 = 5*w + 28, -j = -5*w - 12. Let g(q) be the first derivative of 0*q + 2/21*q**3 + 0*q**j - 4. Factor g(n).
2*n**2/7
Find l, given that 4/13*l**2 - 2/13*l**3 + 2*l + 20/13 = 0.
-2, -1, 5
Let h(z) be the first derivative of 5*z**4/4 - 5*z**3/3 - 10*z**2 + 20*z + 128. Factor h(w).
5*(w - 2)*(w - 1)*(w + 2)
Let l(o) = -2. Let k(m) = 2*m**4 + 4*m**3 + 2*m**2 + 2. Let a(u) = k(u) + l(u). Determine r so that a(r) = 0.
-1, 0
Let p = -43232 - -43232. Suppose -1/2*a**3 + p - 1/2*a**4 + a**2 + 0*a = 0. Calculate a.
-2, 0, 1
Suppose -54*n + 108 = 13*n - 13*n. What is z in 1/10*z + 1/5*z**n + 1/10*z**3 + 0 = 0?
-1, 0
Let p be (7 - 1)/(2 + 0). Factor -p*c**2 + 3*c - 5 + 5 + 3 + c**3 - 4.
(c - 1)**3
Suppose -51 = -9*r + 30. What is f in 11 + r + 52*f + 44*f**2 + 13 - 25 = 0?
-1, -2/11
Let -20 + 48/7*o - 4/7*o**2 = 0. Calculate o.
5, 7
Let f(q) be the third derivative of q**6/540 - q**5/36 - 17*q**3/6 - 13*q**2. Let d(r) be the first derivative of f(r). Factor d(p).
2*p*(p - 5)/3
Suppose 4*a - 41 = -a + 3*p, 0 = -a - 5*p + 25. Suppose 13*o = a + 16. What is w in -2/3*w**3 + 1/3*w - 2/3*w**4 + 1/3*w**5 + 4/3*w**o - 2/3 = 0?
-1, 1, 2
Suppose 35*u - 27 = 43. Let z = 49/40 - 1/40. Factor -3/5*a + z - 3/5*a**u.
-3*(a - 1)*(a + 2)/5
Let s be ((-63)/189)/((1/(-1))/12). Let x(t) be the third derivative of 0 - 2/27*t**3 - 7/540*t**6 + 7/108*t**s + 1/135*t**5 + 7*t**2 + 0*t. Factor x(j).
-2*(j - 1)*(j + 1)*(7*j - 2)/9
Let n(v) be the first derivative of -v**6/1020 + v**4/68 + 2*v**3/51 + 3*v**2 + 10. Let l(x) be the second derivative of n(x). Let l(w) = 0. Calculate w.
-1, 2
Let p = -20 + 25. What is q in -6*q + 5*q**2 + p - 9*q + 5*q = 0?
1
Factor -3740/3*p**2 - 2528/3*p - 448/3 - 484/3*p**3.
-4*(p + 7)*(11*p + 4)**2/3
Suppose 0 = 5*i - 0 - 5. Let k be i*(-3)/(-3)*3. Factor 0*x**3 + k*x**3 + x**4 - 2*x**3.
x**3*(x + 1)
Let i be 2/4 + (-3)/(-2). Let b be (150/42 - 4)/(1/(-7)). Factor -b - 3 - 14*q + 18*q**i + 4 - 2.
2*(q - 1)*(9*q + 2)
Let g(t) be the third derivative of 0*t**5 + 0*t + 1/945*t**7 + 0 + 0*t**3 + 0*t**4 - t**2 - 1/540*t**6. Suppose g(k) = 0. Calculate k.
0, 1
Let t(j) be the second derivative of j**4/6 - j**3/3 - 12*j**2 + 37*j. Determine c so that t(c) = 0.
-3, 4
Suppose 29 = -3*j + h, -j - 2*h - 4 - 1 = 0. Let a = 11 + j. Solve -3*p - 3*p - 3 - 6 - p**a = 0 for p.
-3
Suppose -5*l + l + 825 = -5*p, 2*l - 408 = -2*p. Let k be (l/(-35))/(-1) + -2 + -1. Let -2/7*x + 4/7 - k*x**2 = 0. What is x?
-1/2, 2/5
Let t = 15319/7 - 2188. Find m, given that 0 - 6/7*m - t*m**2 = 0.
-2, 0
Let o(t) = 4*t - 2. Let x be o(1). Let c(y) be the third derivative of 1/120*y**6 - y**x + 1/9*y**4 + 0*y - 11/180*y**5 + 0 + 2/9*y**3. Factor c(z).
(z - 2)**2*(3*z + 1)/3
Let d(u) be the third derivative of -u**6/20 + 2*u**5/3 - 9*u**4/4 + 10*u**3/3 - 541*u**2. Factor d(n).
-2*(n - 5)*(n - 1)*(3*n - 2)
Suppose 6*i + 9 = 3*i, 4*x - 2*i + 102 = 0. Let w = 29 + x. Determine n so that -32/5 - 72/5*n**4 - 364/5*n**3 + 104/5*n**w + 252/5*n**5 + 112/5*n = 0.
-1, -2/3, 2/7, 2/3, 1
Suppose 93*j**3 + 86*j**3 + 83*j**3 + 14*j - 12 - 264*j**3 = 0. Calculate j.
-3, 1, 2
Let r(w) = 3*w**3 + 12*w - 12. Let h(u) = 2*u**3 + u**2 + 10*u - 13. Let i(c) = -4*h(c) + 3*r(c). Factor i(o).
(o - 4)*(o - 2)*(o + 2)
Let n(m) = m**2 - m - 9. Let i be n(-3). Let 4*p**i + 12*p**2 + 1 - 7 - 10 = 0. Calculate p.
-2, 1
Let t = 2946617/81605 - 13/4295. Find z, given that -294/19*z + 42/19*z**2 + t - 2/19*z**3 = 0.
7
Let s(x) = 6*x + 32. Let w be s(-5). Let c(v) be the first derivative of -2*v + 2*v**w - 2/3*v**3 - 2. Find g, given that c(g) = 0.
1
Let s be 208/(-156)*3/(-72). Let l(c) be the second derivative of 0*c**2 - 9*c - 1/30*c**5 - s*c**4 + 0*c**3 + 0 + 2/45*c**6. Determine o, given that l(o) = 0.
-1/2, 0, 1
Let y = -56 - -68. Suppose f - 15 + y = 0. Determine n, give