 p(o) be the third derivative of -o**5/20 - 7*o**4/4 - 49*o**3/2 - 2*o**2 + 902*o. Let p(d) = 0. What is d?
-7
Let d(m) = -15*m**4 - 16*m**3 + 81*m**2 + 302*m. Let f(r) = 80*r**4 + 78*r**3 - 403*r**2 - 1511*r. Let h(v) = -11*d(v) - 2*f(v). Factor h(j).
5*j*(j - 4)*(j + 3)*(j + 5)
Let z(r) = -12*r - 10. Let q(m) = -m**3 + 4*m**2 + 13*m - 7. Let j be q(6). Let b be z(j). What is w in -2/13*w + 10/13*w**3 + 0 - 2/13*w**b - 6/13*w**4 = 0?
-1/3, 0, 1
Suppose 0*b = -17*b + 391. Suppose 0 = -5*h + 2*p + b, 2*p - 7 + 0 = -5*h. Let 1/4*g**2 + 1/4*g**h - 1/4 - 1/4*g = 0. Calculate g.
-1, 1
Let m(a) = -637*a**2 + 741*a. Let v(u) = -85*u**2 + 106*u. Let r(i) = 2*m(i) - 15*v(i). Factor r(f).
f*(f - 108)
Suppose 17*r = 20*r + 12. Let m be 1/((-3)/(-72)) - (2 - r). Factor -m*n**2 - 3/2*n**3 - 135/2*n - 75.
-3*(n + 2)*(n + 5)**2/2
Factor -36477/5*n**2 - 36/5 - 456*n - 11907/5*n**3.
-3*(n + 3)*(63*n + 2)**2/5
Let z(i) be the second derivative of -i**7/189 - 11*i**6/45 - 11*i**5/3 - 406*i**4/27 + 392*i**3/9 + 1366*i. Suppose z(d) = 0. Calculate d.
-14, -6, 0, 1
Suppose 2*q - 2*c = 20, -5*c - 4 = 4*q - 35. What is j in 8*j - 8*j**3 - q*j**2 + 6*j**2 + 4*j**3 - j**2 = 0?
-2, 0, 1
Let n(o) be the first derivative of -8*o - o**2 + 8/3*o**3 + 1/2*o**4 - 255. Solve n(f) = 0.
-4, -1, 1
Let y(u) be the second derivative of -5/2*u**2 + 2/3*u**3 - 37 + 61/120*u**6 + 1/24*u**7 + u + 157/80*u**5 + 139/48*u**4. Let y(w) = 0. Calculate w.
-5, -2, -1, 2/7
Let m be ((-4)/(-6))/(-3 + (-2001)/(-666)). Let y = m + -146. Solve -1/5 + 3/10*g - 1/10*g**y = 0 for g.
1, 2
Let l(i) be the second derivative of i**4/36 + 17*i**3/18 - 39*i**2 + 1919*i. Factor l(z).
(z - 9)*(z + 26)/3
Let d(z) be the third derivative of z**8/13440 - 11*z**7/1680 - 5*z**5/4 + 82*z**2. Let s(m) be the third derivative of d(m). Suppose s(b) = 0. Calculate b.
0, 22
Let y be ((-4)/(-10))/(9 + 714/(-85)). Let c(t) be the first derivative of y*t**3 + 2/3*t - 1/6*t**4 + 10 - t**2. Let c(a) = 0. What is a?
1
Let z = 780 - 774. Factor 259*c - 2*c**5 - z*c**4 + 3*c**5 + 65*c**2 - 14*c**3 - 109*c + c**4 - 5*c**3.
c*(c - 5)**2*(c + 2)*(c + 3)
Let h(w) be the second derivative of w**5/80 + 47*w**4/48 + 11*w**3/6 - 23*w**2/2 + 137*w + 4. Suppose h(b) = 0. What is b?
-46, -2, 1
Suppose -43*d - 672*d = -1430. Factor -6000 + 2/9*j**3 - 20*j**d + 600*j.
2*(j - 30)**3/9
Let k(r) be the second derivative of r**6/10 - 189*r**5/20 + 61*r**4/4 + 63*r**3/2 - 93*r**2 + 1450*r. Determine l, given that k(l) = 0.
-1, 1, 62
Let l(q) = q**2 - 15*q - 11. Let t(f) = -2*f**3 + f**2 - f + 1. Let o be 11/(-9) - 2/(-9). Let x(d) = o*t(d) + l(d). Factor x(z).
2*(z - 3)*(z + 1)*(z + 2)
Let t(l) = -5*l + 8. Let i(c) = 9*c - 16. Let j(s) = -2*i(s) - 5*t(s). Let k be j(2). Factor -16*h**3 - 78*h - k*h + 54 - 18 + 64*h**2.
-4*(h - 1)*(2*h - 3)**2
Let y(z) be the second derivative of -z**5/80 - 133*z**4/48 + 115*z**3/4 - 4145*z. Factor y(f).
-f*(f - 5)*(f + 138)/4
Let f(b) be the first derivative of -36*b + 13 - 319*b**3 + 192*b**2 - 363/4*b**4. Factor f(u).
-3*(u + 3)*(11*u - 2)**2
Find t, given that 6*t**2 + 441/2*t**3 + 0 - 147/2*t**4 - 18*t = 0.
-2/7, 0, 2/7, 3
Let m(o) = -11*o**3 - 221*o**2 + 17*o + 887. Let w(p) = 31*p**3 + 666*p**2 - 52*p - 2672. Let z(s) = -8*m(s) - 3*w(s). Determine q so that z(q) = 0.
-46, -2, 2
Let j(k) be the first derivative of 2*k**7/35 + k**6/40 - 56*k**2 + 123. Let b(l) be the second derivative of j(l). Determine v so that b(v) = 0.
-1/4, 0
Find l, given that -18660*l**2 + 5500*l**3 - 6825*l + 34825*l - 15680 + 131*l**4 - 736*l**4 = 0.
2, 28/11
Let b(a) = -5*a + 30. Let c(w) = -26*w + 150. Let i(k) = 16*b(k) - 3*c(k). Let g be i(13). Find l, given that -3*l**2 - g + 7 - 6*l - 5 - 1 = 0.
-1
Factor -52*a - 1/3*a**5 - 328/3 + 199/3*a**3 + 12*a**4 + 250/3*a**2.
-(a - 41)*(a - 1)*(a + 2)**3/3
Suppose 0 + 138/13*g**3 - 220/13*g + 2/13*g**5 - 34/13*g**4 - 46/13*g**2 = 0. Calculate g.
-1, 0, 2, 5, 11
Let s = 6791/17754 + -1/269. Let p = 21/22 + s. Factor 4/3*o + p + 1/3*o**2.
(o + 2)**2/3
Let o be (602/(-28) + 22)*(-2 + (-2)/(-1)). Let u(v) be the third derivative of 0*v**5 + 0*v - 1/30*v**6 - 4/3*v**3 + 1/2*v**4 + 20*v**2 + o. Factor u(a).
-4*(a - 1)**2*(a + 2)
Let t(d) be the first derivative of -d**4/2 + 4*d**3/3 + 39*d**2 + 144*d - 1605. Factor t(b).
-2*(b - 8)*(b + 3)**2
Let l(f) = 2*f**3 + 595*f**2 - 44698*f - 22496. Let r(q) = -10*q**3 - 2378*q**2 + 178791*q + 89982. Let x(c) = -18*l(c) - 4*r(c). Let x(d) = 0. Calculate d.
-1/2, 150
Let b(n) be the third derivative of -n**5/20 - 69*n**4/8 - 99*n**3 - 31*n**2 + 22. Factor b(u).
-3*(u + 3)*(u + 66)
Let q(a) = -a**2 + 198*a - 90. Let g(u) = 2*u**2 - 299*u + 135. Let v(f) = -5*g(f) - 8*q(f). What is p in v(p) = 0?
-45, 1/2
Suppose -n + 3*v + 19 = 4, 41 = 3*n - 5*v. Let t(o) = 6*o - 6. Let d be t(5). Factor 3/2*u**2 + d - n*u.
3*(u - 4)**2/2
Let q = -37 + 41. Suppose -q*p - 32 = -6*p. Suppose -15*m + 44*m**2 - 10*m**3 - 47*m + p*m + 12 = 0. What is m?
2/5, 1, 3
Suppose -2*v = 2*v - 3960. Factor -3*i**3 - 82318*i + 16978*i - 2*i**3 - v*i**2 - 1437480.
-5*(i + 66)**3
Let y(m) be the first derivative of m**4/16 + 13*m**3/12 + 19*m**2/8 - 33*m/4 + 1185. Factor y(i).
(i - 1)*(i + 3)*(i + 11)/4
Let a = -235 + 208. Let j(p) = -p**3 - 7*p**2 - 28*p + 140. Let i(w) = 6*w**3 + 51*w**2 + 195*w - 981. Let z(c) = a*j(c) - 4*i(c). Find t, given that z(t) = 0.
-3, 4
Suppose -r = -21*y + 20*y + 73, r + 373 = 5*y. Let a be 3/(9 - y/10). Solve -8/7*z + 0 + 4/7*z**a = 0.
0, 2
Let 0 - 6*h**3 - 72/5*h**2 + 3/5*h**4 + 0*h = 0. Calculate h.
-2, 0, 12
Let i be ((-44)/44)/((-2)/(-14)). Let o be (-1)/(-4 - i/2). Suppose -50/7*s + 6/7 + 16*s**o - 32/7*s**3 = 0. Calculate s.
1/4, 3
Let i(o) be the second derivative of 0*o**5 + 0 + 1/30*o**3 - 1/210*o**7 + 2/75*o**6 - 1/6*o**4 + 3/5*o**2 - 284*o. Solve i(p) = 0 for p.
-1, 1, 2, 3
Factor -300*c - 4/3*c**2 - 896/3.
-4*(c + 1)*(c + 224)/3
Find a such that 4646*a**2 - 4630*a**2 - a + 7*a**3 - 6 + 4*a**3 = 0.
-1, 6/11
Let d = 2840 + -5647/2. Determine q, given that 6*q + 9*q**3 + d*q**2 - 3/2 = 0.
-1, 1/6
Suppose -2651988*k + 2*k**4 - 5545233 - 2799258*k - 4*k**4 + 93456*k**2 + 3*k**4 - 530*k**3 = 0. Calculate k.
-1, 177
Let w = 1455 + -1451. Let n(p) be the second derivative of 0*p**2 + 0 + 1/135*p**6 - 1/54*p**w - 1/90*p**5 + 1/27*p**3 + 14*p. Determine y, given that n(y) = 0.
-1, 0, 1
Factor -677/2*r**2 + 440*r - 7/2*r**3 - 98.
-(r - 1)*(r + 98)*(7*r - 2)/2
Suppose 4*m = 3*v + 14, 2 = -m - 4*v - 4. Let 0*t**m + 3*t**3 + 3*t**2 - 4*t**3 - t + 2*t**3 - 3 = 0. What is t?
-3, -1, 1
Let l(v) be the third derivative of -v**8/5040 + 13*v**7/630 - 169*v**6/180 - 41*v**5/60 + 62*v**2. Let o(b) be the third derivative of l(b). Factor o(n).
-4*(n - 13)**2
Let u = -26419 + 26424. Let 2/9*n**u + 0 - 10/9*n**4 - 2/3*n**3 - 12*n + 10*n**2 = 0. Calculate n.
-3, 0, 2, 3
Let d(z) be the third derivative of 0 + 0*z + 1/30*z**5 + 10/3*z**4 + 58*z**2 + 400/3*z**3. Factor d(j).
2*(j + 20)**2
Let t(v) be the first derivative of -1/14*v**4 + 18 - 24334/7*v - 46/7*v**3 - 1587/7*v**2. Solve t(n) = 0 for n.
-23
Let w(n) = 46*n**3 + n + 1. Let g(l) = -274*l**3 + 754*l**2 - 8*l - 760. Let f(y) = g(y) + 6*w(y). Find j such that f(j) = 0.
-377, -1, 1
Suppose -1/5*s**4 + 0 - 39/5*s**2 - 3*s**3 + 11*s = 0. What is s?
-11, -5, 0, 1
Let j(x) be the third derivative of -x**5/15 + 11*x**4/3 + 112*x**3 - x**2 + 53. Suppose j(t) = 0. Calculate t.
-6, 28
Let b(y) be the second derivative of -y**4/42 - 130*y**3/21 + 536*y**2/7 - 4728*y. Let b(m) = 0. Calculate m.
-134, 4
Let i be 1027/34 - (3 + 4 + -2). Let n = i - 420/17. Factor -1/2*m**2 + 0 + n*m**3 - 1/2*m + 1/2*m**4.
m*(m - 1)*(m + 1)**2/2
Let p be (8/6 + -1)*(-107)/(-9844)*0. Factor -10/19*l**4 + 24/19*l**3 + p + 4/19*l - 18/19*l**2.
-2*l*(l - 1)**2*(5*l - 2)/19
Suppose -29*l - 949 + 1036 = 0. Let x(i) be the first derivative of -324*i**2 - 180*i**l + 23 - 1296/5*i - 75/2*i**4. Determine a so that x(a) = 0.
-6/5
Let o(x) = x**3 + 2*x**2 + x + 1. Let r(h) = -25*h**3 - 200*h**2 + 670*h - 910. Let a(m) = 30*o(m) + r(m). Factor a(u).
5*(u - 22)*(u - 4)*(u - 2)
Let a(o) be the second derivative of o**6/225 - 108*o**5/25 + 5832*o**4/5 - 2224*o. What is p in a(p) = 0?
0, 324
Let z be (19125/(-17000))/(6/(-32)). Factor -16/3 + z*g - 2/3*g**